id	sid	tid	token	lemma	pos
ejpam-6216	1	1	european	european	PROPN
ejpam-6216	1	2	journal	journal	PROPN
ejpam-6216	1	3	of	of	ADP
ejpam-6216	1	4	pure	pure	ADJ
ejpam-6216	1	5	and	and	CCONJ
ejpam-6216	1	6	applied	applied	ADJ
ejpam-6216	1	7	mathematics	mathematic	NOUN
ejpam-6216	1	8	2025	2025	NUM
ejpam-6216	1	9	,	,	PUNCT
ejpam-6216	1	10	vol	vol	NOUN
ejpam-6216	1	11	.	.	PROPN
ejpam-6216	1	12	18	18	NUM
ejpam-6216	1	13	,	,	PUNCT
ejpam-6216	1	14	issue	issue	NOUN
ejpam-6216	1	15	4	4	NUM
ejpam-6216	1	16	,	,	PUNCT
ejpam-6216	1	17	article	article	NOUN
ejpam-6216	1	18	number	number	NOUN
ejpam-6216	1	19	6216	6216	NUM
ejpam-6216	1	20	issn	issn	PROPN
ejpam-6216	1	21	1307	1307	NUM
ejpam-6216	1	22	-	-	SYM
ejpam-6216	1	23	5543	5543	NUM
ejpam-6216	1	24	–	–	PUNCT
ejpam-6216	1	25	ejpam.com	ejpam.com	X
ejpam-6216	1	26	published	publish	VERB
ejpam-6216	1	27	by	by	ADP
ejpam-6216	1	28	new	new	PROPN
ejpam-6216	1	29	york	york	PROPN
ejpam-6216	1	30	business	business	PROPN
ejpam-6216	1	31	global	global	ADJ
ejpam-6216	1	32	domination	domination	NOUN
ejpam-6216	1	33	in	in	ADP
ejpam-6216	1	34	bipolar	bipolar	ADJ
ejpam-6216	1	35	fuzzy	fuzzy	ADJ
ejpam-6216	1	36	rough	rough	ADJ
ejpam-6216	1	37	digraphs	digraph	NOUN
ejpam-6216	1	38	with	with	ADP
ejpam-6216	1	39	applications	application	NOUN
ejpam-6216	1	40	to	to	ADP
ejpam-6216	1	41	decision	decision	NOUN
ejpam-6216	1	42	-	-	PUNCT
ejpam-6216	1	43	making	make	VERB
ejpam-6216	1	44	aneesa	aneesa	NOUN
ejpam-6216	1	45	arif1	arif1	PROPN
ejpam-6216	1	46	,	,	PUNCT
ejpam-6216	1	47	aliya	aliya	NOUN
ejpam-6216	1	48	fahmi1	fahmi1	PROPN
ejpam-6216	1	49	,	,	PUNCT
ejpam-6216	1	50	aziz	aziz	PROPN
ejpam-6216	1	51	khan2	khan2	PROPN
ejpam-6216	1	52	,	,	PUNCT
ejpam-6216	1	53	aiman	aiman	PROPN
ejpam-6216	1	54	mukheimer2	mukheimer2	PROPN
ejpam-6216	1	55	,	,	PUNCT
ejpam-6216	1	56	thabet	thabet	ADJ
ejpam-6216	1	57	abdeljawad4,2,5,∗	abdeljawad4,2,5,∗	NOUN
ejpam-6216	1	58	,	,	PUNCT
ejpam-6216	1	59	rajermani	rajermani	ADJ
ejpam-6216	1	60	thinakaran3	thinakaran3	NOUN
ejpam-6216	1	61	1	1	NUM
ejpam-6216	1	62	department	department	NOUN
ejpam-6216	1	63	of	of	ADP
ejpam-6216	1	64	mathematics	mathematic	NOUN
ejpam-6216	1	65	,	,	PUNCT
ejpam-6216	1	66	faculty	faculty	NOUN
ejpam-6216	1	67	of	of	ADP
ejpam-6216	1	68	science	science	NOUN
ejpam-6216	1	69	,	,	PUNCT
ejpam-6216	1	70	university	university	NOUN
ejpam-6216	1	71	of	of	ADP
ejpam-6216	1	72	faisalabad	faisalabad	PROPN
ejpam-6216	1	73	,	,	PUNCT
ejpam-6216	1	74	faisalabad	faisalabad	PROPN
ejpam-6216	1	75	,	,	PUNCT
ejpam-6216	1	76	pakistan	pakistan	PROPN
ejpam-6216	1	77	2	2	NUM
ejpam-6216	1	78	department	department	NOUN
ejpam-6216	1	79	of	of	ADP
ejpam-6216	1	80	mathematics	mathematic	NOUN
ejpam-6216	1	81	and	and	CCONJ
ejpam-6216	1	82	sciences	science	NOUN
ejpam-6216	1	83	,	,	PUNCT
ejpam-6216	1	84	prince	prince	PROPN
ejpam-6216	1	85	sultan	sultan	PROPN
ejpam-6216	1	86	university	university	PROPN
ejpam-6216	1	87	,	,	PUNCT
ejpam-6216	1	88	p.o	p.o	PROPN
ejpam-6216	1	89	.	.	PROPN
ejpam-6216	1	90	box	box	PROPN
ejpam-6216	1	91	66833	66833	NUM
ejpam-6216	1	92	,	,	PUNCT
ejpam-6216	1	93	11586	11586	NUM
ejpam-6216	1	94	riyadh	riyadh	NOUN
ejpam-6216	1	95	,	,	PUNCT
ejpam-6216	1	96	saudi	saudi	PROPN
ejpam-6216	1	97	arabia	arabia	PROPN
ejpam-6216	1	98	3	3	NUM
ejpam-6216	1	99	faculty	faculty	NOUN
ejpam-6216	1	100	of	of	ADP
ejpam-6216	1	101	data	datum	NOUN
ejpam-6216	1	102	science	science	NOUN
ejpam-6216	1	103	and	and	CCONJ
ejpam-6216	1	104	information	information	NOUN
ejpam-6216	1	105	technology	technology	NOUN
ejpam-6216	1	106	,	,	PUNCT
ejpam-6216	1	107	inti	inti	PROPN
ejpam-6216	1	108	international	international	PROPN
ejpam-6216	1	109	university	university	PROPN
ejpam-6216	1	110	,	,	PUNCT
ejpam-6216	1	111	negeri	negeri	PROPN
ejpam-6216	1	112	sembilan	sembilan	PROPN
ejpam-6216	1	113	,	,	PUNCT
ejpam-6216	1	114	malaysia	malaysia	PROPN
ejpam-6216	1	115	4	4	NUM
ejpam-6216	1	116	department	department	NOUN
ejpam-6216	1	117	of	of	ADP
ejpam-6216	1	118	fundamental	fundamental	ADJ
ejpam-6216	1	119	sciences	science	NOUN
ejpam-6216	1	120	,	,	PUNCT
ejpam-6216	1	121	faculty	faculty	NOUN
ejpam-6216	1	122	of	of	ADP
ejpam-6216	1	123	engineering	engineering	NOUN
ejpam-6216	1	124	and	and	CCONJ
ejpam-6216	1	125	architecture	architecture	NOUN
ejpam-6216	1	126	,	,	PUNCT
ejpam-6216	1	127	istanbul	istanbul	PROPN
ejpam-6216	1	128	gelisim	gelisim	PROPN
ejpam-6216	1	129	university	university	PROPN
ejpam-6216	1	130	,	,	PUNCT
ejpam-6216	1	131	avcılar	avcılar	ADJ
ejpam-6216	1	132	-	-	PUNCT
ejpam-6216	1	133	istanbul	istanbul	PROPN
ejpam-6216	1	134	,	,	PUNCT
ejpam-6216	1	135	34310	34310	NUM
ejpam-6216	1	136	,	,	PUNCT
ejpam-6216	1	137	turkiye	turkiye	PROPN
ejpam-6216	1	138	5	5	NUM
ejpam-6216	1	139	department	department	NOUN
ejpam-6216	1	140	of	of	ADP
ejpam-6216	1	141	mathematics	mathematic	NOUN
ejpam-6216	1	142	and	and	CCONJ
ejpam-6216	1	143	applied	apply	VERB
ejpam-6216	1	144	mathematics	mathematic	NOUN
ejpam-6216	1	145	,	,	PUNCT
ejpam-6216	1	146	sefako	sefako	VERB
ejpam-6216	1	147	makgatho	makgatho	PROPN
ejpam-6216	1	148	health	health	PROPN
ejpam-6216	1	149	sciences	sciences	PROPN
ejpam-6216	1	150	university	university	PROPN
ejpam-6216	1	151	,	,	PUNCT
ejpam-6216	1	152	garankuwa	garankuwa	NOUN
ejpam-6216	1	153	,	,	PUNCT
ejpam-6216	1	154	medusa	medusa	NOUN
ejpam-6216	1	155	0204	0204	NUM
ejpam-6216	1	156	,	,	PUNCT
ejpam-6216	1	157	south	south	PROPN
ejpam-6216	1	158	africa	africa	PROPN
ejpam-6216	1	159	abstract	abstract	PROPN
ejpam-6216	1	160	.	.	PUNCT
ejpam-6216	2	1	fuzzy	fuzzy	ADJ
ejpam-6216	2	2	rough	rough	ADJ
ejpam-6216	2	3	digraphs	digraph	NOUN
ejpam-6216	2	4	are	be	AUX
ejpam-6216	2	5	insufficient	insufficient	ADJ
ejpam-6216	2	6	for	for	ADP
ejpam-6216	2	7	scenarios	scenario	NOUN
ejpam-6216	2	8	involving	involve	VERB
ejpam-6216	2	9	both	both	CCONJ
ejpam-6216	2	10	positive	positive	ADJ
ejpam-6216	2	11	and	and	CCONJ
ejpam-6216	2	12	negative	negative	ADJ
ejpam-6216	2	13	influences	influence	NOUN
ejpam-6216	2	14	.	.	PUNCT
ejpam-6216	3	1	to	to	PART
ejpam-6216	3	2	address	address	VERB
ejpam-6216	3	3	the	the	DET
ejpam-6216	3	4	limitations	limitation	NOUN
ejpam-6216	3	5	of	of	ADP
ejpam-6216	3	6	fuzzy	fuzzy	ADJ
ejpam-6216	3	7	rough	rough	ADJ
ejpam-6216	3	8	digraphs	digraph	NOUN
ejpam-6216	3	9	in	in	ADP
ejpam-6216	3	10	modeling	model	VERB
ejpam-6216	3	11	conflicting	conflicting	ADJ
ejpam-6216	3	12	information	information	NOUN
ejpam-6216	3	13	,	,	PUNCT
ejpam-6216	3	14	this	this	DET
ejpam-6216	3	15	paper	paper	NOUN
ejpam-6216	3	16	introduces	introduce	VERB
ejpam-6216	3	17	the	the	DET
ejpam-6216	3	18	bipolar	bipolar	ADJ
ejpam-6216	3	19	fuzzy	fuzzy	ADJ
ejpam-6216	3	20	rough	rough	ADJ
ejpam-6216	3	21	digraph	digraph	NOUN
ejpam-6216	3	22	(	(	PUNCT
ejpam-6216	3	23	bfrd	bfrd	NOUN
ejpam-6216	3	24	)	)	PUNCT
ejpam-6216	3	25	as	as	ADP
ejpam-6216	3	26	a	a	DET
ejpam-6216	3	27	new	new	ADJ
ejpam-6216	3	28	framework	framework	NOUN
ejpam-6216	3	29	for	for	ADP
ejpam-6216	3	30	decision	decision	NOUN
ejpam-6216	3	31	-	-	PUNCT
ejpam-6216	3	32	making	making	NOUN
ejpam-6216	3	33	under	under	ADP
ejpam-6216	3	34	uncertainty	uncertainty	NOUN
ejpam-6216	3	35	.	.	PUNCT
ejpam-6216	4	1	we	we	PRON
ejpam-6216	4	2	define	define	VERB
ejpam-6216	4	3	its	its	PRON
ejpam-6216	4	4	fundamental	fundamental	ADJ
ejpam-6216	4	5	properties	property	NOUN
ejpam-6216	4	6	,	,	PUNCT
ejpam-6216	4	7	including	include	VERB
ejpam-6216	4	8	the	the	DET
ejpam-6216	4	9	strength	strength	NOUN
ejpam-6216	4	10	of	of	ADP
ejpam-6216	4	11	paths	path	NOUN
ejpam-6216	4	12	,	,	PUNCT
ejpam-6216	4	13	connectedness	connectedness	NOUN
ejpam-6216	4	14	,	,	PUNCT
ejpam-6216	4	15	vertex	vertex	NOUN
ejpam-6216	4	16	degree	degree	NOUN
ejpam-6216	4	17	,	,	PUNCT
ejpam-6216	4	18	the	the	DET
ejpam-6216	4	19	regular	regular	ADJ
ejpam-6216	4	20	bfrd	bfrd	NOUN
ejpam-6216	4	21	.	.	PUNCT
ejpam-6216	5	1	from	from	ADP
ejpam-6216	5	2	these	these	PRON
ejpam-6216	5	3	,	,	PUNCT
ejpam-6216	5	4	we	we	PRON
ejpam-6216	5	5	establish	establish	VERB
ejpam-6216	5	6	the	the	DET
ejpam-6216	5	7	concepts	concept	NOUN
ejpam-6216	5	8	of	of	ADP
ejpam-6216	5	9	the	the	DET
ejpam-6216	5	10	minimum	minimum	ADJ
ejpam-6216	5	11	dominating	dominating	NOUN
ejpam-6216	5	12	set	set	NOUN
ejpam-6216	5	13	and	and	CCONJ
ejpam-6216	5	14	domination	domination	NOUN
ejpam-6216	5	15	number	number	NOUN
ejpam-6216	5	16	.	.	PUNCT
ejpam-6216	6	1	an	an	DET
ejpam-6216	6	2	algorithm	algorithm	NOUN
ejpam-6216	6	3	is	be	AUX
ejpam-6216	6	4	then	then	ADV
ejpam-6216	6	5	developed	develop	VERB
ejpam-6216	6	6	to	to	PART
ejpam-6216	6	7	apply	apply	VERB
ejpam-6216	6	8	this	this	DET
ejpam-6216	6	9	framework	framework	NOUN
ejpam-6216	6	10	to	to	ADP
ejpam-6216	6	11	practical	practical	ADJ
ejpam-6216	6	12	problems	problem	NOUN
ejpam-6216	6	13	.	.	PUNCT
ejpam-6216	7	1	the	the	DET
ejpam-6216	7	2	model	model	NOUN
ejpam-6216	7	3	’s	’s	PART
ejpam-6216	7	4	efficacy	efficacy	NOUN
ejpam-6216	7	5	is	be	AUX
ejpam-6216	7	6	demonstrated	demonstrate	VERB
ejpam-6216	7	7	through	through	ADP
ejpam-6216	7	8	a	a	DET
ejpam-6216	7	9	real	real	ADJ
ejpam-6216	7	10	-	-	PUNCT
ejpam-6216	7	11	world	world	NOUN
ejpam-6216	7	12	application	application	NOUN
ejpam-6216	7	13	:	:	PUNCT
ejpam-6216	7	14	identifying	identify	VERB
ejpam-6216	7	15	an	an	DET
ejpam-6216	7	16	optimal	optimal	ADJ
ejpam-6216	7	17	set	set	NOUN
ejpam-6216	7	18	of	of	ADP
ejpam-6216	7	19	rural	rural	ADJ
ejpam-6216	7	20	areas	area	NOUN
ejpam-6216	7	21	for	for	ADP
ejpam-6216	7	22	establishing	establish	VERB
ejpam-6216	7	23	medicine	medicine	NOUN
ejpam-6216	7	24	supply	supply	NOUN
ejpam-6216	7	25	markets	market	NOUN
ejpam-6216	7	26	by	by	ADP
ejpam-6216	7	27	finding	find	VERB
ejpam-6216	7	28	the	the	DET
ejpam-6216	7	29	minimum	minimum	ADJ
ejpam-6216	7	30	dominating	dominating	NOUN
ejpam-6216	7	31	set	set	NOUN
ejpam-6216	7	32	.	.	PUNCT
ejpam-6216	8	1	this	this	DET
ejpam-6216	8	2	work	work	NOUN
ejpam-6216	8	3	provides	provide	VERB
ejpam-6216	8	4	a	a	DET
ejpam-6216	8	5	robust	robust	ADJ
ejpam-6216	8	6	mathematical	mathematical	ADJ
ejpam-6216	8	7	tool	tool	NOUN
ejpam-6216	8	8	for	for	ADP
ejpam-6216	8	9	solving	solve	VERB
ejpam-6216	8	10	complex	complex	ADJ
ejpam-6216	8	11	problems	problem	NOUN
ejpam-6216	8	12	involving	involve	VERB
ejpam-6216	8	13	bipolarity	bipolarity	NOUN
ejpam-6216	8	14	and	and	CCONJ
ejpam-6216	8	15	as	as	ADP
ejpam-6216	8	16	a	a	DET
ejpam-6216	8	17	process	process	NOUN
ejpam-6216	8	18	innovation	innovation	NOUN
ejpam-6216	8	19	.	.	PUNCT
ejpam-6216	9	1	2020	2020	NUM
ejpam-6216	9	2	mathematics	mathematic	NOUN
ejpam-6216	9	3	subject	subject	NOUN
ejpam-6216	9	4	classifications	classification	NOUN
ejpam-6216	9	5	:	:	PUNCT
ejpam-6216	9	6	03e72	03e72	NUM
ejpam-6216	9	7	,	,	PUNCT
ejpam-6216	9	8	03b52	03b52	NUM
ejpam-6216	9	9	,	,	PUNCT
ejpam-6216	9	10	68t37	68t37	NUM
ejpam-6216	9	11	,	,	PUNCT
ejpam-6216	9	12	05c69	05c69	NUM
ejpam-6216	9	13	,	,	PUNCT
ejpam-6216	9	14	05c72	05c72	NOUN
ejpam-6216	9	15	,	,	PUNCT
ejpam-6216	9	16	05c85	05c85	DET
ejpam-6216	9	17	key	key	ADJ
ejpam-6216	9	18	words	word	NOUN
ejpam-6216	9	19	and	and	CCONJ
ejpam-6216	9	20	phrases	phrase	NOUN
ejpam-6216	9	21	:	:	PUNCT
ejpam-6216	9	22	theory	theory	NOUN
ejpam-6216	9	23	of	of	ADP
ejpam-6216	9	24	fuzzy	fuzzy	ADJ
ejpam-6216	9	25	sets	set	NOUN
ejpam-6216	9	26	,	,	PUNCT
ejpam-6216	9	27	fuzzy	fuzzy	ADJ
ejpam-6216	9	28	sets	set	NOUN
ejpam-6216	9	29	,	,	PUNCT
ejpam-6216	9	30	fuzzy	fuzzy	ADJ
ejpam-6216	9	31	logic	logic	NOUN
ejpam-6216	9	32	,	,	PUNCT
ejpam-6216	9	33	applications	application	NOUN
ejpam-6216	9	34	of	of	ADP
ejpam-6216	9	35	fuzzy	fuzzy	ADJ
ejpam-6216	9	36	set	set	NOUN
ejpam-6216	9	37	theory	theory	NOUN
ejpam-6216	9	38	,	,	PUNCT
ejpam-6216	9	39	dominating	dominating	NOUN
ejpam-6216	9	40	sets	set	NOUN
ejpam-6216	9	41	,	,	PUNCT
ejpam-6216	9	42	fuzzy	fuzzy	ADJ
ejpam-6216	9	43	graph	graph	NOUN
ejpam-6216	9	44	theory	theory	NOUN
ejpam-6216	9	45	,	,	PUNCT
ejpam-6216	9	46	graph	graph	NOUN
ejpam-6216	9	47	algorithms	algorithm	NOUN
ejpam-6216	9	48	∗corresponding	∗corresponde	VERB
ejpam-6216	9	49	author	author	NOUN
ejpam-6216	9	50	.	.	PUNCT
ejpam-6216	10	1	doi	doi	NOUN
ejpam-6216	10	2	:	:	PUNCT
ejpam-6216	10	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6216	https://doi.org/10.29020/nybg.ejpam.v18i4.6216	X
ejpam-6216	10	4	email	email	NOUN
ejpam-6216	10	5	addresses	address	NOUN
ejpam-6216	10	6	:	:	PUNCT
ejpam-6216	10	7	aliyafahmi@gmail.com	aliyafahmi@gmail.com	NUM
ejpam-6216	10	8	,	,	PUNCT
ejpam-6216	10	9	akhan@psu.edu.sa	akhan@psu.edu.sa	NOUN
ejpam-6216	10	10	(	(	PUNCT
ejpam-6216	10	11	a.	a.	NOUN
ejpam-6216	10	12	fahmi	fahmi	PROPN
ejpam-6216	10	13	,	,	PUNCT
ejpam-6216	10	14	a.	a.	PROPN
ejpam-6216	10	15	khan	khan	PROPN
ejpam-6216	10	16	)	)	PUNCT
ejpam-6216	10	17	,	,	PUNCT
ejpam-6216	10	18	mukheimer@psu.edu.sa	mukheimer@psu.edu.sa	PROPN
ejpam-6216	10	19	(	(	PUNCT
ejpam-6216	10	20	a.	a.	NOUN
ejpam-6216	10	21	mukheimer	mukheimer	PROPN
ejpam-6216	10	22	)	)	PUNCT
ejpam-6216	10	23	,	,	PUNCT
ejpam-6216	10	24	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-6216	10	25	(	(	PUNCT
ejpam-6216	10	26	t.	t.	NOUN
ejpam-6216	10	27	abdeljawad	abdeljawad	PROPN
ejpam-6216	10	28	)	)	PUNCT
ejpam-6216	10	29	,	,	PUNCT
ejpam-6216	10	30	rajermani.thina@newinti.edu.my	rajermani.thina@newinti.edu.my	PROPN
ejpam-6216	10	31	(	(	PUNCT
ejpam-6216	10	32	r.	r.	PROPN
ejpam-6216	10	33	thinakaran	thinakaran	PROPN
ejpam-6216	10	34	)	)	PUNCT
ejpam-6216	10	35	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6216	11	1	1	1	NUM
ejpam-6216	11	2	copyright	copyright	NOUN
ejpam-6216	11	3	:	:	PUNCT
ejpam-6216	11	4	©	©	PROPN
ejpam-6216	11	5	2025	2025	NUM
ejpam-6216	11	6	the	the	DET
ejpam-6216	11	7	author(s	author(s	NOUN
ejpam-6216	11	8	)	)	PUNCT
ejpam-6216	11	9	.	.	PUNCT
ejpam-6216	12	1	(	(	PUNCT
ejpam-6216	12	2	cc	cc	NOUN
ejpam-6216	12	3	by	by	ADP
ejpam-6216	12	4	-	-	PUNCT
ejpam-6216	12	5	nc	nc	PROPN
ejpam-6216	12	6	4.0	4.0	NUM
ejpam-6216	12	7	)	)	PUNCT
ejpam-6216	12	8	a.	a.	NOUN
ejpam-6216	12	9	arif	arif	PROPN
ejpam-6216	12	10	et	et	PROPN
ejpam-6216	12	11	al	al	PROPN
ejpam-6216	12	12	.	.	PUNCT
ejpam-6216	12	13	/	/	SYM
ejpam-6216	12	14	eur	eur	PROPN
ejpam-6216	12	15	.	.	PUNCT
ejpam-6216	13	1	j.	j.	PROPN
ejpam-6216	13	2	pure	pure	PROPN
ejpam-6216	13	3	appl	appl	PROPN
ejpam-6216	13	4	.	.	PROPN
ejpam-6216	13	5	math	math	PROPN
ejpam-6216	13	6	,	,	PUNCT
ejpam-6216	13	7	18	18	NUM
ejpam-6216	13	8	(	(	PUNCT
ejpam-6216	13	9	4	4	NUM
ejpam-6216	13	10	)	)	PUNCT
ejpam-6216	13	11	(	(	PUNCT
ejpam-6216	13	12	2025	2025	NUM
ejpam-6216	13	13	)	)	PUNCT
ejpam-6216	13	14	,	,	PUNCT
ejpam-6216	13	15	6216	6216	NUM
ejpam-6216	13	16	2	2	NUM
ejpam-6216	13	17	of	of	ADP
ejpam-6216	13	18	36	36	NUM
ejpam-6216	13	19	1	1	NUM
ejpam-6216	13	20	.	.	PUNCT
ejpam-6216	14	1	introduction	introduction	NOUN
ejpam-6216	14	2	the	the	DET
ejpam-6216	14	3	introduction	introduction	NOUN
ejpam-6216	14	4	of	of	ADP
ejpam-6216	14	5	fuzzy	fuzzy	ADJ
ejpam-6216	14	6	set	set	NOUN
ejpam-6216	14	7	theory	theory	NOUN
ejpam-6216	14	8	by	by	ADP
ejpam-6216	14	9	zadeh	zadeh	PROPN
ejpam-6216	15	1	[	[	X
ejpam-6216	15	2	1	1	NUM
ejpam-6216	15	3	,	,	PUNCT
ejpam-6216	15	4	2	2	NUM
ejpam-6216	15	5	]	]	PUNCT
ejpam-6216	15	6	provided	provide	VERB
ejpam-6216	15	7	a	a	DET
ejpam-6216	15	8	revolutionary	revolutionary	ADJ
ejpam-6216	15	9	mathematical	mathematical	ADJ
ejpam-6216	15	10	framework	framework	NOUN
ejpam-6216	15	11	to	to	PART
ejpam-6216	15	12	handle	handle	VERB
ejpam-6216	15	13	the	the	DET
ejpam-6216	15	14	inherent	inherent	ADJ
ejpam-6216	15	15	vagueness	vagueness	NOUN
ejpam-6216	15	16	of	of	ADP
ejpam-6216	15	17	real	real	ADJ
ejpam-6216	15	18	-	-	PUNCT
ejpam-6216	15	19	world	world	NOUN
ejpam-6216	15	20	data	datum	NOUN
ejpam-6216	15	21	,	,	PUNCT
ejpam-6216	15	22	moving	move	VERB
ejpam-6216	15	23	beyond	beyond	ADP
ejpam-6216	15	24	the	the	DET
ejpam-6216	15	25	binary	binary	ADJ
ejpam-6216	15	26	limitations	limitation	NOUN
ejpam-6216	15	27	of	of	ADP
ejpam-6216	15	28	classical	classical	ADJ
ejpam-6216	15	29	set	set	NOUN
ejpam-6216	15	30	theory	theory	NOUN
ejpam-6216	15	31	.	.	PUNCT
ejpam-6216	16	1	in	in	ADP
ejpam-6216	16	2	classical	classical	ADJ
ejpam-6216	16	3	set	set	NOUN
ejpam-6216	16	4	theory	theory	NOUN
ejpam-6216	16	5	,	,	PUNCT
ejpam-6216	16	6	an	an	DET
ejpam-6216	16	7	element	element	NOUN
ejpam-6216	16	8	either	either	CCONJ
ejpam-6216	16	9	belongs	belong	VERB
ejpam-6216	16	10	to	to	ADP
ejpam-6216	16	11	a	a	DET
ejpam-6216	16	12	set	set	NOUN
ejpam-6216	16	13	or	or	CCONJ
ejpam-6216	16	14	does	do	AUX
ejpam-6216	16	15	not	not	PART
ejpam-6216	16	16	,	,	PUNCT
ejpam-6216	16	17	represented	represent	VERB
ejpam-6216	16	18	by	by	ADP
ejpam-6216	16	19	binary	binary	ADJ
ejpam-6216	16	20	membership	membership	NOUN
ejpam-6216	16	21	(	(	PUNCT
ejpam-6216	16	22	0	0	NUM
ejpam-6216	16	23	or	or	CCONJ
ejpam-6216	16	24	1	1	NUM
ejpam-6216	16	25	)	)	PUNCT
ejpam-6216	16	26	.	.	PUNCT
ejpam-6216	17	1	however	however	ADV
ejpam-6216	17	2	,	,	PUNCT
ejpam-6216	17	3	in	in	ADP
ejpam-6216	17	4	the	the	DET
ejpam-6216	17	5	real	real	ADJ
ejpam-6216	17	6	world	world	NOUN
ejpam-6216	17	7	,	,	PUNCT
ejpam-6216	17	8	many	many	ADJ
ejpam-6216	17	9	concepts	concept	NOUN
ejpam-6216	17	10	and	and	CCONJ
ejpam-6216	17	11	phenomena	phenomenon	NOUN
ejpam-6216	17	12	are	be	AUX
ejpam-6216	17	13	not	not	PART
ejpam-6216	17	14	strictly	strictly	ADV
ejpam-6216	17	15	black	black	ADJ
ejpam-6216	17	16	or	or	CCONJ
ejpam-6216	17	17	white	white	ADJ
ejpam-6216	17	18	;	;	PUNCT
ejpam-6216	17	19	they	they	PRON
ejpam-6216	17	20	often	often	ADV
ejpam-6216	17	21	exhibit	exhibit	VERB
ejpam-6216	17	22	shades	shade	NOUN
ejpam-6216	17	23	of	of	ADP
ejpam-6216	17	24	gray	gray	ADJ
ejpam-6216	17	25	or	or	CCONJ
ejpam-6216	17	26	degrees	degree	NOUN
ejpam-6216	17	27	of	of	ADP
ejpam-6216	17	28	membership	membership	NOUN
ejpam-6216	17	29	.	.	PUNCT
ejpam-6216	18	1	the	the	DET
ejpam-6216	18	2	fuzzy	fuzzy	ADJ
ejpam-6216	18	3	set	set	NOUN
ejpam-6216	18	4	theory	theory	NOUN
ejpam-6216	18	5	addresses	address	VERB
ejpam-6216	18	6	this	this	DET
ejpam-6216	18	7	limitation	limitation	NOUN
ejpam-6216	18	8	by	by	ADP
ejpam-6216	18	9	allowing	allow	VERB
ejpam-6216	18	10	elements	element	NOUN
ejpam-6216	18	11	to	to	PART
ejpam-6216	18	12	belong	belong	VERB
ejpam-6216	18	13	to	to	ADP
ejpam-6216	18	14	a	a	DET
ejpam-6216	18	15	set	set	NOUN
ejpam-6216	18	16	with	with	ADP
ejpam-6216	18	17	a	a	DET
ejpam-6216	18	18	degree	degree	NOUN
ejpam-6216	18	19	of	of	ADP
ejpam-6216	18	20	membership	membership	NOUN
ejpam-6216	18	21	that	that	PRON
ejpam-6216	18	22	ranges	range	VERB
ejpam-6216	18	23	between	between	ADP
ejpam-6216	18	24	0	0	NUM
ejpam-6216	18	25	and	and	CCONJ
ejpam-6216	18	26	1	1	NUM
ejpam-6216	18	27	.	.	PUNCT
ejpam-6216	19	1	the	the	DET
ejpam-6216	19	2	objective	objective	NOUN
ejpam-6216	19	3	of	of	ADP
ejpam-6216	19	4	fuzzy	fuzzy	ADJ
ejpam-6216	19	5	set	set	NOUN
ejpam-6216	19	6	theory	theory	NOUN
ejpam-6216	19	7	is	be	AUX
ejpam-6216	19	8	to	to	PART
ejpam-6216	19	9	provide	provide	VERB
ejpam-6216	19	10	a	a	DET
ejpam-6216	19	11	formal	formal	ADJ
ejpam-6216	19	12	framework	framework	NOUN
ejpam-6216	19	13	that	that	PRON
ejpam-6216	19	14	accommodates	accommodate	VERB
ejpam-6216	19	15	the	the	DET
ejpam-6216	19	16	inherent	inherent	ADJ
ejpam-6216	19	17	fuzziness	fuzziness	NOUN
ejpam-6216	19	18	of	of	ADP
ejpam-6216	19	19	real	real	ADJ
ejpam-6216	19	20	-	-	PUNCT
ejpam-6216	19	21	world	world	NOUN
ejpam-6216	19	22	data	datum	NOUN
ejpam-6216	19	23	and	and	CCONJ
ejpam-6216	19	24	phenomena	phenomenon	NOUN
ejpam-6216	19	25	.	.	PUNCT
ejpam-6216	20	1	in	in	ADP
ejpam-6216	20	2	1983	1983	NUM
ejpam-6216	20	3	,	,	PUNCT
ejpam-6216	20	4	chakraborty	chakraborty	PROPN
ejpam-6216	20	5	and	and	CCONJ
ejpam-6216	20	6	das	das	PROPN
ejpam-6216	20	7	[	[	X
ejpam-6216	20	8	3–5	3–5	NUM
ejpam-6216	20	9	]	]	X
ejpam-6216	20	10	extended	extended	ADJ
ejpam-6216	20	11	studies	study	NOUN
ejpam-6216	20	12	of	of	ADP
ejpam-6216	20	13	fuzzy	fuzzy	ADJ
ejpam-6216	20	14	relations	relation	NOUN
ejpam-6216	20	15	and	and	CCONJ
ejpam-6216	20	16	fuzzy	fuzzy	ADJ
ejpam-6216	20	17	equivalence	equivalence	NOUN
ejpam-6216	20	18	relations	relation	NOUN
ejpam-6216	20	19	and	and	CCONJ
ejpam-6216	20	20	other	other	ADJ
ejpam-6216	21	1	[	[	X
ejpam-6216	21	2	83–86	83–86	NUM
ejpam-6216	21	3	]	]	PUNCT
ejpam-6216	21	4	.	.	PUNCT
ejpam-6216	22	1	this	this	DET
ejpam-6216	22	2	framework	framework	NOUN
ejpam-6216	22	3	found	find	VERB
ejpam-6216	22	4	a	a	DET
ejpam-6216	22	5	natural	natural	ADJ
ejpam-6216	22	6	and	and	CCONJ
ejpam-6216	22	7	powerful	powerful	ADJ
ejpam-6216	22	8	application	application	NOUN
ejpam-6216	22	9	in	in	ADP
ejpam-6216	22	10	graph	graph	NOUN
ejpam-6216	22	11	theory	theory	NOUN
ejpam-6216	22	12	,	,	PUNCT
ejpam-6216	22	13	leading	lead	VERB
ejpam-6216	22	14	to	to	ADP
ejpam-6216	22	15	the	the	DET
ejpam-6216	22	16	development	development	NOUN
ejpam-6216	22	17	of	of	ADP
ejpam-6216	22	18	fuzzy	fuzzy	ADJ
ejpam-6216	22	19	graphs	graph	NOUN
ejpam-6216	22	20	,	,	PUNCT
ejpam-6216	22	21	a	a	DET
ejpam-6216	22	22	concept	concept	NOUN
ejpam-6216	22	23	pioneered	pioneer	VERB
ejpam-6216	22	24	by	by	ADP
ejpam-6216	22	25	kauffmann	kauffmann	PROPN
ejpam-6216	23	1	[	[	X
ejpam-6216	23	2	6	6	NUM
ejpam-6216	23	3	]	]	PUNCT
ejpam-6216	23	4	,	,	PUNCT
ejpam-6216	23	5	yeh	yeh	PROPN
ejpam-6216	23	6	and	and	CCONJ
ejpam-6216	23	7	bang	bang	PROPN
ejpam-6216	24	1	[	[	X
ejpam-6216	24	2	7	7	NUM
ejpam-6216	24	3	]	]	PUNCT
ejpam-6216	24	4	,	,	PUNCT
ejpam-6216	24	5	and	and	CCONJ
ejpam-6216	24	6	rosenfeld	rosenfeld	PROPN
ejpam-6216	25	1	[	[	X
ejpam-6216	25	2	8	8	NUM
ejpam-6216	25	3	]	]	PUNCT
ejpam-6216	25	4	.	.	PUNCT
ejpam-6216	26	1	kauffmann	kauffmann	PROPN
ejpam-6216	26	2	studied	study	VERB
ejpam-6216	26	3	the	the	DET
ejpam-6216	26	4	extension	extension	NOUN
ejpam-6216	26	5	of	of	ADP
ejpam-6216	26	6	classical	classical	ADJ
ejpam-6216	26	7	graph	graph	NOUN
ejpam-6216	26	8	theory	theory	NOUN
ejpam-6216	26	9	to	to	ADP
ejpam-6216	26	10	fuzzy	fuzzy	ADJ
ejpam-6216	26	11	graph	graph	NOUN
ejpam-6216	26	12	theory	theory	NOUN
ejpam-6216	26	13	in	in	ADP
ejpam-6216	26	14	1973	1973	NUM
ejpam-6216	26	15	.	.	PUNCT
ejpam-6216	27	1	in	in	ADP
ejpam-6216	27	2	classical	classical	ADJ
ejpam-6216	27	3	graph	graph	NOUN
ejpam-6216	27	4	theory	theory	NOUN
ejpam-6216	27	5	,	,	PUNCT
ejpam-6216	27	6	edges	edge	NOUN
ejpam-6216	27	7	and	and	CCONJ
ejpam-6216	27	8	vertices	vertex	NOUN
ejpam-6216	27	9	are	be	AUX
ejpam-6216	27	10	either	either	CCONJ
ejpam-6216	27	11	present	present	ADJ
ejpam-6216	27	12	or	or	CCONJ
ejpam-6216	27	13	absent	absent	ADJ
ejpam-6216	27	14	,	,	PUNCT
ejpam-6216	27	15	leading	lead	VERB
ejpam-6216	27	16	to	to	ADP
ejpam-6216	27	17	a	a	DET
ejpam-6216	27	18	binary	binary	ADJ
ejpam-6216	27	19	representation	representation	NOUN
ejpam-6216	27	20	.	.	PUNCT
ejpam-6216	28	1	in	in	ADP
ejpam-6216	28	2	contrast	contrast	NOUN
ejpam-6216	28	3	,	,	PUNCT
ejpam-6216	28	4	fuzzy	fuzzy	ADJ
ejpam-6216	28	5	graph	graph	NOUN
ejpam-6216	28	6	theory	theory	NOUN
ejpam-6216	28	7	allows	allow	VERB
ejpam-6216	28	8	for	for	ADP
ejpam-6216	28	9	edges	edge	NOUN
ejpam-6216	28	10	and	and	CCONJ
ejpam-6216	28	11	vertices	vertice	VERB
ejpam-6216	28	12	to	to	PART
ejpam-6216	28	13	have	have	VERB
ejpam-6216	28	14	degrees	degree	NOUN
ejpam-6216	28	15	of	of	ADP
ejpam-6216	28	16	membership	membership	NOUN
ejpam-6216	28	17	,	,	PUNCT
ejpam-6216	28	18	indicating	indicate	VERB
ejpam-6216	28	19	the	the	DET
ejpam-6216	28	20	strength	strength	NOUN
ejpam-6216	28	21	or	or	CCONJ
ejpam-6216	28	22	degree	degree	NOUN
ejpam-6216	28	23	of	of	ADP
ejpam-6216	28	24	connection	connection	NOUN
ejpam-6216	28	25	between	between	ADP
ejpam-6216	28	26	nodes	node	NOUN
ejpam-6216	28	27	.	.	PUNCT
ejpam-6216	29	1	this	this	DET
ejpam-6216	29	2	innovation	innovation	NOUN
ejpam-6216	29	3	spurred	spur	VERB
ejpam-6216	29	4	extensive	extensive	ADJ
ejpam-6216	29	5	research	research	NOUN
ejpam-6216	29	6	into	into	ADP
ejpam-6216	29	7	the	the	DET
ejpam-6216	29	8	structural	structural	ADJ
ejpam-6216	29	9	properties	property	NOUN
ejpam-6216	29	10	of	of	ADP
ejpam-6216	29	11	these	these	DET
ejpam-6216	29	12	graphs	graph	NOUN
ejpam-6216	29	13	,	,	PUNCT
ejpam-6216	29	14	with	with	ADP
ejpam-6216	29	15	key	key	ADJ
ejpam-6216	29	16	contributions	contribution	NOUN
ejpam-6216	29	17	on	on	ADP
ejpam-6216	29	18	fuzzy	fuzzy	ADJ
ejpam-6216	29	19	groups	group	NOUN
ejpam-6216	29	20	by	by	ADP
ejpam-6216	29	21	bhattacharya	bhattacharya	NOUN
ejpam-6216	29	22	[	[	X
ejpam-6216	29	23	9	9	NUM
ejpam-6216	29	24	]	]	PUNCT
ejpam-6216	29	25	,	,	PUNCT
ejpam-6216	29	26	connectedness	connectedness	NOUN
ejpam-6216	29	27	by	by	ADP
ejpam-6216	29	28	banerjee	banerjee	PROPN
ejpam-6216	29	29	[	[	X
ejpam-6216	29	30	10	10	NUM
ejpam-6216	29	31	]	]	PUNCT
ejpam-6216	29	32	,	,	PUNCT
ejpam-6216	29	33	fuzzy	fuzzy	ADJ
ejpam-6216	29	34	vertex	vertex	NOUN
ejpam-6216	29	35	graphs	graph	NOUN
ejpam-6216	29	36	by	by	ADP
ejpam-6216	29	37	koczy	koczy	PROPN
ejpam-6216	30	1	[	[	X
ejpam-6216	30	2	11	11	NUM
ejpam-6216	30	3	]	]	PUNCT
ejpam-6216	30	4	.	.	PUNCT
ejpam-6216	31	1	udupa	udupa	ADJ
ejpam-6216	31	2	and	and	CCONJ
ejpam-6216	31	3	samarasekera	samarasekera	PRON
ejpam-6216	32	1	[	[	X
ejpam-6216	32	2	12	12	NUM
ejpam-6216	32	3	]	]	PUNCT
ejpam-6216	32	4	used	use	VERB
ejpam-6216	32	5	the	the	DET
ejpam-6216	32	6	concept	concept	NOUN
ejpam-6216	32	7	of	of	ADP
ejpam-6216	32	8	fuzzy	fuzzy	ADJ
ejpam-6216	32	9	connectedness	connectedness	NOUN
ejpam-6216	32	10	in	in	ADP
ejpam-6216	32	11	image	image	NOUN
ejpam-6216	32	12	segmentation	segmentation	NOUN
ejpam-6216	32	13	.	.	PUNCT
ejpam-6216	33	1	bhutani	bhutani	NOUN
ejpam-6216	34	1	[	[	X
ejpam-6216	34	2	13	13	NUM
ejpam-6216	34	3	,	,	PUNCT
ejpam-6216	34	4	14	14	NUM
ejpam-6216	34	5	]	]	PUNCT
ejpam-6216	34	6	presented	present	VERB
ejpam-6216	34	7	the	the	DET
ejpam-6216	34	8	ideas	idea	NOUN
ejpam-6216	34	9	of	of	ADP
ejpam-6216	34	10	the	the	DET
ejpam-6216	34	11	cut	cut	ADJ
ejpam-6216	34	12	node	node	NOUN
ejpam-6216	34	13	and	and	CCONJ
ejpam-6216	34	14	fuzzy	fuzzy	ADJ
ejpam-6216	34	15	edge	edge	NOUN
ejpam-6216	34	16	node	node	NOUN
ejpam-6216	34	17	,	,	PUNCT
ejpam-6216	34	18	and	and	CCONJ
ejpam-6216	34	19	node	node	NOUN
ejpam-6216	34	20	connectivity	connectivity	NOUN
ejpam-6216	34	21	is	be	AUX
ejpam-6216	34	22	presented	present	VERB
ejpam-6216	34	23	by	by	ADP
ejpam-6216	34	24	mathew	mathew	PROPN
ejpam-6216	34	25	and	and	CCONJ
ejpam-6216	34	26	sunitha	sunitha	VERB
ejpam-6216	35	1	[	[	X
ejpam-6216	35	2	15	15	NUM
ejpam-6216	35	3	,	,	PUNCT
ejpam-6216	35	4	16	16	NUM
ejpam-6216	35	5	]	]	PUNCT
ejpam-6216	35	6	.	.	PUNCT
ejpam-6216	36	1	binu	binu	NOUN
ejpam-6216	36	2	et	et	PROPN
ejpam-6216	36	3	al	al	PROPN
ejpam-6216	36	4	.	.	PUNCT
ejpam-6216	37	1	[	[	X
ejpam-6216	37	2	17	17	NUM
ejpam-6216	37	3	]	]	PUNCT
ejpam-6216	37	4	studied	study	VERB
ejpam-6216	37	5	the	the	DET
ejpam-6216	37	6	applications	application	NOUN
ejpam-6216	37	7	of	of	ADP
ejpam-6216	37	8	the	the	DET
ejpam-6216	37	9	connectivity	connectivity	NOUN
ejpam-6216	37	10	status	status	NOUN
ejpam-6216	37	11	of	of	ADP
ejpam-6216	37	12	fuzzy	fuzzy	ADJ
ejpam-6216	37	13	graphs	graph	NOUN
ejpam-6216	37	14	in	in	ADP
ejpam-6216	37	15	network	network	NOUN
ejpam-6216	37	16	science	science	NOUN
ejpam-6216	37	17	.	.	PUNCT
ejpam-6216	38	1	a	a	DET
ejpam-6216	38	2	particularly	particularly	ADV
ejpam-6216	38	3	vital	vital	ADJ
ejpam-6216	38	4	concept	concept	NOUN
ejpam-6216	38	5	that	that	PRON
ejpam-6216	38	6	emerged	emerge	VERB
ejpam-6216	38	7	is	be	AUX
ejpam-6216	38	8	domination	domination	NOUN
ejpam-6216	38	9	in	in	ADP
ejpam-6216	38	10	fuzzy	fuzzy	ADJ
ejpam-6216	38	11	graphs	graph	NOUN
ejpam-6216	38	12	,	,	PUNCT
ejpam-6216	38	13	introduced	introduce	VERB
ejpam-6216	38	14	by	by	ADP
ejpam-6216	38	15	somasundaram	somasundaram	NOUN
ejpam-6216	38	16	and	and	CCONJ
ejpam-6216	38	17	somasundaram	somasundaram	NOUN
ejpam-6216	39	1	[	[	X
ejpam-6216	39	2	18	18	NUM
ejpam-6216	39	3	]	]	X
ejpam-6216	39	4	,	,	PUNCT
ejpam-6216	39	5	a	a	DET
ejpam-6216	39	6	topic	topic	NOUN
ejpam-6216	39	7	that	that	PRON
ejpam-6216	39	8	has	have	AUX
ejpam-6216	39	9	been	be	AUX
ejpam-6216	39	10	further	far	ADV
ejpam-6216	39	11	developed	develop	VERB
ejpam-6216	39	12	to	to	PART
ejpam-6216	39	13	include	include	VERB
ejpam-6216	39	14	domination	domination	NOUN
ejpam-6216	39	15	numbers	number	NOUN
ejpam-6216	39	16	and	and	CCONJ
ejpam-6216	39	17	independent	independent	ADJ
ejpam-6216	39	18	sets	set	NOUN
ejpam-6216	39	19	by	by	ADP
ejpam-6216	39	20	researchers	researcher	NOUN
ejpam-6216	39	21	like	like	ADP
ejpam-6216	39	22	gani	gani	PROPN
ejpam-6216	39	23	and	and	CCONJ
ejpam-6216	39	24	vadivel	vadivel	VERB
ejpam-6216	39	25	[	[	X
ejpam-6216	39	26	19	19	NUM
ejpam-6216	39	27	]	]	PUNCT
ejpam-6216	39	28	,	,	PUNCT
ejpam-6216	39	29	manjusha	manjusha	ADJ
ejpam-6216	39	30	and	and	CCONJ
ejpam-6216	39	31	sunitha	sunitha	ADJ
ejpam-6216	40	1	[	[	X
ejpam-6216	40	2	20	20	NUM
ejpam-6216	40	3	]	]	PUNCT
ejpam-6216	40	4	,	,	PUNCT
ejpam-6216	40	5	and	and	CCONJ
ejpam-6216	40	6	talebi	talebi	NOUN
ejpam-6216	40	7	et	et	PROPN
ejpam-6216	40	8	al	al	PROPN
ejpam-6216	40	9	.	.	PUNCT
ejpam-6216	41	1	[	[	X
ejpam-6216	41	2	21	21	NUM
ejpam-6216	41	3	]	]	PUNCT
ejpam-6216	41	4	.	.	PUNCT
ejpam-6216	42	1	the	the	DET
ejpam-6216	42	2	idea	idea	NOUN
ejpam-6216	42	3	of	of	ADP
ejpam-6216	42	4	domination	domination	NOUN
ejpam-6216	42	5	in	in	ADP
ejpam-6216	42	6	fuzzy	fuzzy	ADJ
ejpam-6216	42	7	graphs	graph	NOUN
ejpam-6216	42	8	is	be	AUX
ejpam-6216	42	9	used	use	VERB
ejpam-6216	42	10	to	to	PART
ejpam-6216	42	11	analyze	analyze	VERB
ejpam-6216	42	12	the	the	DET
ejpam-6216	42	13	control	control	NOUN
ejpam-6216	42	14	or	or	CCONJ
ejpam-6216	42	15	influence	influence	NOUN
ejpam-6216	42	16	that	that	SCONJ
ejpam-6216	42	17	certain	certain	ADJ
ejpam-6216	42	18	vertices	vertex	NOUN
ejpam-6216	42	19	have	have	VERB
ejpam-6216	42	20	over	over	ADP
ejpam-6216	42	21	others	other	NOUN
ejpam-6216	42	22	in	in	ADP
ejpam-6216	42	23	a	a	DET
ejpam-6216	42	24	fuzzy	fuzzy	ADJ
ejpam-6216	42	25	network	network	NOUN
ejpam-6216	42	26	,	,	PUNCT
ejpam-6216	42	27	taking	take	VERB
ejpam-6216	42	28	into	into	ADP
ejpam-6216	42	29	account	account	NOUN
ejpam-6216	42	30	the	the	DET
ejpam-6216	42	31	uncertainty	uncertainty	NOUN
ejpam-6216	42	32	or	or	CCONJ
ejpam-6216	42	33	ambiguity	ambiguity	NOUN
ejpam-6216	42	34	in	in	ADP
ejpam-6216	42	35	the	the	DET
ejpam-6216	42	36	relationships	relationship	NOUN
ejpam-6216	42	37	between	between	ADP
ejpam-6216	42	38	vertices	vertex	NOUN
ejpam-6216	42	39	.	.	PUNCT
ejpam-6216	43	1	however	however	ADV
ejpam-6216	43	2	,	,	PUNCT
ejpam-6216	43	3	standard	standard	ADJ
ejpam-6216	43	4	fuzzy	fuzzy	ADJ
ejpam-6216	43	5	models	model	NOUN
ejpam-6216	43	6	are	be	AUX
ejpam-6216	43	7	limited	limit	VERB
ejpam-6216	43	8	in	in	ADP
ejpam-6216	43	9	scenarios	scenario	NOUN
ejpam-6216	43	10	involving	involve	VERB
ejpam-6216	43	11	conflicting	conflicting	ADJ
ejpam-6216	43	12	information	information	NOUN
ejpam-6216	43	13	.	.	PUNCT
ejpam-6216	44	1	to	to	PART
ejpam-6216	44	2	address	address	VERB
ejpam-6216	44	3	this	this	PRON
ejpam-6216	44	4	,	,	PUNCT
ejpam-6216	44	5	zhang	zhang	PROPN
ejpam-6216	45	1	[	[	X
ejpam-6216	45	2	22	22	NUM
ejpam-6216	45	3	]	]	PUNCT
ejpam-6216	45	4	introduced	introduce	VERB
ejpam-6216	45	5	bipolar	bipolar	ADJ
ejpam-6216	45	6	fuzzy	fuzzy	ADJ
ejpam-6216	45	7	sets	set	NOUN
ejpam-6216	45	8	(	(	PUNCT
ejpam-6216	45	9	bfss	bfss	NOUN
ejpam-6216	45	10	)	)	PUNCT
ejpam-6216	45	11	,	,	PUNCT
ejpam-6216	45	12	which	which	PRON
ejpam-6216	45	13	assign	assign	VERB
ejpam-6216	45	14	each	each	DET
ejpam-6216	45	15	element	element	NOUN
ejpam-6216	45	16	both	both	CCONJ
ejpam-6216	45	17	positive	positive	ADJ
ejpam-6216	45	18	and	and	CCONJ
ejpam-6216	45	19	negative	negative	ADJ
ejpam-6216	45	20	membership	membership	NOUN
ejpam-6216	45	21	degrees	degree	NOUN
ejpam-6216	45	22	,	,	PUNCT
ejpam-6216	45	23	indicating	indicate	VERB
ejpam-6216	45	24	the	the	DET
ejpam-6216	45	25	degree	degree	NOUN
ejpam-6216	45	26	to	to	PART
ejpam-6216	45	27	which	which	PRON
ejpam-6216	45	28	it	it	PRON
ejpam-6216	45	29	belongs	belong	VERB
ejpam-6216	45	30	and	and	CCONJ
ejpam-6216	45	31	does	do	AUX
ejpam-6216	45	32	not	not	PART
ejpam-6216	45	33	belong	belong	VERB
ejpam-6216	45	34	to	to	ADP
ejpam-6216	45	35	the	the	DET
ejpam-6216	45	36	set	set	NOUN
ejpam-6216	45	37	,	,	PUNCT
ejpam-6216	45	38	respectively	respectively	ADV
ejpam-6216	45	39	.	.	PUNCT
ejpam-6216	46	1	an	an	DET
ejpam-6216	46	2	element	element	NOUN
ejpam-6216	46	3	’s	’s	PART
ejpam-6216	46	4	negative	negative	ADJ
ejpam-6216	46	5	degree	degree	NOUN
ejpam-6216	46	6	of	of	ADP
ejpam-6216	46	7	membership	membership	NOUN
ejpam-6216	46	8	falls	fall	VERB
ejpam-6216	46	9	between	between	ADP
ejpam-6216	46	10	[	[	X
ejpam-6216	46	11	−1	−1	NOUN
ejpam-6216	46	12	,	,	PUNCT
ejpam-6216	46	13	0	0	NUM
ejpam-6216	46	14	]	]	PUNCT
ejpam-6216	46	15	,	,	PUNCT
ejpam-6216	46	16	where	where	SCONJ
ejpam-6216	46	17	−1	−1	NOUN
ejpam-6216	46	18	denotes	denote	VERB
ejpam-6216	46	19	complete	complete	VERB
ejpam-6216	46	20	non	non	ADJ
ejpam-6216	46	21	-	-	NOUN
ejpam-6216	46	22	membership	membership	NOUN
ejpam-6216	46	23	.	.	PUNCT
ejpam-6216	47	1	this	this	DET
ejpam-6216	47	2	concept	concept	NOUN
ejpam-6216	47	3	was	be	AUX
ejpam-6216	47	4	quickly	quickly	ADV
ejpam-6216	47	5	extended	extend	VERB
ejpam-6216	47	6	to	to	AUX
ejpam-6216	47	7	graph	graph	NOUN
ejpam-6216	47	8	theory	theory	NOUN
ejpam-6216	47	9	by	by	ADP
ejpam-6216	47	10	akram	akram	PROPN
ejpam-6216	48	1	[	[	X
ejpam-6216	48	2	23	23	NUM
ejpam-6216	48	3	]	]	PUNCT
ejpam-6216	48	4	,	,	PUNCT
ejpam-6216	48	5	leading	lead	VERB
ejpam-6216	48	6	to	to	ADP
ejpam-6216	48	7	the	the	DET
ejpam-6216	48	8	creation	creation	NOUN
ejpam-6216	48	9	of	of	ADP
ejpam-6216	48	10	bipolar	bipolar	ADJ
ejpam-6216	48	11	fuzzy	fuzzy	ADJ
ejpam-6216	48	12	graphs	graph	NOUN
ejpam-6216	48	13	.	.	PUNCT
ejpam-6216	49	1	akram	akram	PROPN
ejpam-6216	49	2	et	et	PROPN
ejpam-6216	49	3	al	al	PROPN
ejpam-6216	49	4	.	.	PUNCT
ejpam-6216	50	1	[	[	X
ejpam-6216	50	2	24–26	24–26	NUM
ejpam-6216	50	3	]	]	PUNCT
ejpam-6216	50	4	examined	examine	VERB
ejpam-6216	50	5	the	the	DET
ejpam-6216	50	6	uses	use	NOUN
ejpam-6216	50	7	of	of	ADP
ejpam-6216	50	8	bfss	bfss	NOUN
ejpam-6216	50	9	in	in	ADP
ejpam-6216	50	10	the	the	DET
ejpam-6216	50	11	theory	theory	NOUN
ejpam-6216	50	12	of	of	ADP
ejpam-6216	50	13	graphs	graph	NOUN
ejpam-6216	50	14	,	,	PUNCT
ejpam-6216	50	15	the	the	DET
ejpam-6216	50	16	operations	operation	NOUN
ejpam-6216	50	17	on	on	ADP
ejpam-6216	50	18	bipolar	bipolar	ADJ
ejpam-6216	50	19	fuzzy	fuzzy	ADJ
ejpam-6216	50	20	graphs	graph	NOUN
ejpam-6216	50	21	,	,	PUNCT
ejpam-6216	50	22	and	and	CCONJ
ejpam-6216	50	23	their	their	PRON
ejpam-6216	50	24	applications	application	NOUN
ejpam-6216	50	25	in	in	ADP
ejpam-6216	50	26	decision	decision	NOUN
ejpam-6216	50	27	-	-	PUNCT
ejpam-6216	50	28	making	make	VERB
ejpam-6216	50	29	problems	problem	NOUN
ejpam-6216	50	30	.	.	PUNCT
ejpam-6216	51	1	paulik	paulik	PROPN
ejpam-6216	51	2	and	and	CCONJ
ejpam-6216	51	3	ghorai	ghorai	VERB
ejpam-6216	51	4	[	[	X
ejpam-6216	51	5	27	27	NUM
ejpam-6216	51	6	]	]	PUNCT
ejpam-6216	51	7	studied	study	VERB
ejpam-6216	51	8	the	the	DET
ejpam-6216	51	9	applications	application	NOUN
ejpam-6216	51	10	of	of	ADP
ejpam-6216	51	11	the	the	DET
ejpam-6216	51	12	connectivity	connectivity	NOUN
ejpam-6216	51	13	index	index	NOUN
ejpam-6216	51	14	of	of	ADP
ejpam-6216	51	15	bipolar	bipolar	ADJ
ejpam-6216	51	16	fuzzy	fuzzy	ADJ
ejpam-6216	51	17	graphs	graph	NOUN
ejpam-6216	51	18	.	.	PUNCT
ejpam-6216	52	1	akram	akram	PROPN
ejpam-6216	52	2	et	et	PROPN
ejpam-6216	52	3	al	al	PROPN
ejpam-6216	52	4	.	.	PUNCT
ejpam-6216	53	1	[	[	X
ejpam-6216	53	2	28	28	NUM
ejpam-6216	53	3	,	,	PUNCT
ejpam-6216	53	4	29	29	NUM
ejpam-6216	53	5	]	]	PUNCT
ejpam-6216	53	6	examined	examine	VERB
ejpam-6216	53	7	the	the	DET
ejpam-6216	53	8	various	various	ADJ
ejpam-6216	53	9	forms	form	NOUN
ejpam-6216	53	10	of	of	ADP
ejpam-6216	53	11	bipolar	bipolar	ADJ
ejpam-6216	53	12	fuzzy	fuzzy	ADJ
ejpam-6216	53	13	a.	a.	NOUN
ejpam-6216	53	14	arif	arif	PROPN
ejpam-6216	53	15	et	et	PROPN
ejpam-6216	53	16	al	al	PROPN
ejpam-6216	53	17	.	.	PUNCT
ejpam-6216	53	18	/	/	SYM
ejpam-6216	53	19	eur	eur	PROPN
ejpam-6216	53	20	.	.	PUNCT
ejpam-6216	54	1	j.	j.	PROPN
ejpam-6216	54	2	pure	pure	PROPN
ejpam-6216	54	3	appl	appl	PROPN
ejpam-6216	54	4	.	.	PROPN
ejpam-6216	54	5	math	math	PROPN
ejpam-6216	54	6	,	,	PUNCT
ejpam-6216	54	7	18	18	NUM
ejpam-6216	54	8	(	(	PUNCT
ejpam-6216	54	9	4	4	NUM
ejpam-6216	54	10	)	)	PUNCT
ejpam-6216	54	11	(	(	PUNCT
ejpam-6216	54	12	2025	2025	NUM
ejpam-6216	54	13	)	)	PUNCT
ejpam-6216	54	14	,	,	PUNCT
ejpam-6216	54	15	6216	6216	NUM
ejpam-6216	54	16	3	3	NUM
ejpam-6216	54	17	of	of	ADP
ejpam-6216	54	18	36	36	NUM
ejpam-6216	54	19	graphs	graph	NOUN
ejpam-6216	54	20	for	for	ADP
ejpam-6216	54	21	handling	handle	VERB
ejpam-6216	54	22	uncertainty	uncertainty	NOUN
ejpam-6216	54	23	.	.	PUNCT
ejpam-6216	55	1	gong	gong	PROPN
ejpam-6216	55	2	and	and	CCONJ
ejpam-6216	55	3	hua	hua	PROPN
ejpam-6216	56	1	[	[	X
ejpam-6216	56	2	30	30	NUM
ejpam-6216	56	3	]	]	PUNCT
ejpam-6216	56	4	studied	study	VERB
ejpam-6216	56	5	the	the	DET
ejpam-6216	56	6	practical	practical	ADJ
ejpam-6216	56	7	application	application	NOUN
ejpam-6216	56	8	of	of	ADP
ejpam-6216	56	9	fuzzy	fuzzy	ADJ
ejpam-6216	56	10	edge	edge	NOUN
ejpam-6216	56	11	connectivity	connectivity	NOUN
ejpam-6216	56	12	.	.	PUNCT
ejpam-6216	57	1	karunambigai	karunambigai	PROPN
ejpam-6216	57	2	et	et	PROPN
ejpam-6216	57	3	al	al	PROPN
ejpam-6216	57	4	.	.	PUNCT
ejpam-6216	58	1	[	[	X
ejpam-6216	58	2	31	31	NUM
ejpam-6216	58	3	]	]	PUNCT
ejpam-6216	58	4	and	and	CCONJ
ejpam-6216	58	5	akram	akram	PROPN
ejpam-6216	58	6	et	et	PROPN
ejpam-6216	58	7	al	al	PROPN
ejpam-6216	58	8	.	.	PUNCT
ejpam-6216	59	1	[	[	X
ejpam-6216	59	2	33	33	NUM
ejpam-6216	59	3	]	]	PUNCT
ejpam-6216	59	4	introduced	introduce	VERB
ejpam-6216	59	5	the	the	DET
ejpam-6216	59	6	idea	idea	NOUN
ejpam-6216	59	7	of	of	ADP
ejpam-6216	59	8	domination	domination	NOUN
ejpam-6216	59	9	in	in	ADP
ejpam-6216	59	10	bipolar	bipolar	ADJ
ejpam-6216	59	11	fuzzy	fuzzy	ADJ
ejpam-6216	59	12	graphs	graph	NOUN
ejpam-6216	59	13	.	.	PUNCT
ejpam-6216	60	1	muneera	muneera	NOUN
ejpam-6216	60	2	et	et	PROPN
ejpam-6216	60	3	al	al	PROPN
ejpam-6216	60	4	.	.	PUNCT
ejpam-6216	61	1	[	[	X
ejpam-6216	61	2	32	32	NUM
ejpam-6216	61	3	]	]	PUNCT
ejpam-6216	61	4	studied	study	VERB
ejpam-6216	61	5	the	the	DET
ejpam-6216	61	6	domination	domination	NOUN
ejpam-6216	61	7	in	in	ADP
ejpam-6216	61	8	various	various	ADJ
ejpam-6216	61	9	forms	form	NOUN
ejpam-6216	61	10	of	of	ADP
ejpam-6216	61	11	bipolar	bipolar	ADJ
ejpam-6216	61	12	fuzzy	fuzzy	ADJ
ejpam-6216	61	13	graphs	graph	NOUN
ejpam-6216	61	14	.	.	PUNCT
ejpam-6216	62	1	a	a	DET
ejpam-6216	62	2	parallel	parallel	ADJ
ejpam-6216	62	3	line	line	NOUN
ejpam-6216	62	4	of	of	ADP
ejpam-6216	62	5	inquiry	inquiry	NOUN
ejpam-6216	62	6	for	for	ADP
ejpam-6216	62	7	managing	manage	VERB
ejpam-6216	62	8	uncertainty	uncertainty	NOUN
ejpam-6216	62	9	stems	stem	VERB
ejpam-6216	62	10	from	from	ADP
ejpam-6216	62	11	pawlak	pawlak	ADJ
ejpam-6216	62	12	’s	’s	PART
ejpam-6216	62	13	rough	rough	ADJ
ejpam-6216	62	14	set	set	NOUN
ejpam-6216	62	15	theory	theory	NOUN
ejpam-6216	62	16	[	[	X
ejpam-6216	62	17	34–36	34–36	NUM
ejpam-6216	62	18	]	]	X
ejpam-6216	62	19	,	,	PUNCT
ejpam-6216	62	20	which	which	PRON
ejpam-6216	62	21	provides	provide	VERB
ejpam-6216	62	22	a	a	DET
ejpam-6216	62	23	formal	formal	ADJ
ejpam-6216	62	24	method	method	NOUN
ejpam-6216	62	25	for	for	ADP
ejpam-6216	62	26	approximating	approximate	VERB
ejpam-6216	62	27	concepts	concept	NOUN
ejpam-6216	62	28	from	from	ADP
ejpam-6216	62	29	incomplete	incomplete	ADJ
ejpam-6216	62	30	information	information	NOUN
ejpam-6216	62	31	.	.	PUNCT
ejpam-6216	63	1	in	in	ADP
ejpam-6216	63	2	rough	rough	ADJ
ejpam-6216	63	3	set	set	NOUN
ejpam-6216	63	4	theory	theory	NOUN
ejpam-6216	63	5	,	,	PUNCT
ejpam-6216	63	6	information	information	NOUN
ejpam-6216	63	7	is	be	AUX
ejpam-6216	63	8	organized	organize	VERB
ejpam-6216	63	9	into	into	ADP
ejpam-6216	63	10	granules	granule	NOUN
ejpam-6216	63	11	or	or	CCONJ
ejpam-6216	63	12	sets	set	NOUN
ejpam-6216	63	13	of	of	ADP
ejpam-6216	63	14	objects	object	NOUN
ejpam-6216	63	15	.	.	PUNCT
ejpam-6216	64	1	these	these	DET
ejpam-6216	64	2	sets	set	NOUN
ejpam-6216	64	3	can	can	AUX
ejpam-6216	64	4	represent	represent	VERB
ejpam-6216	64	5	concepts	concept	NOUN
ejpam-6216	64	6	,	,	PUNCT
ejpam-6216	64	7	categories	category	NOUN
ejpam-6216	64	8	,	,	PUNCT
ejpam-6216	64	9	or	or	CCONJ
ejpam-6216	64	10	classes	class	NOUN
ejpam-6216	64	11	within	within	ADP
ejpam-6216	64	12	a	a	DET
ejpam-6216	64	13	dataset	dataset	NOUN
ejpam-6216	64	14	.	.	PUNCT
ejpam-6216	65	1	rss	rss	NOUN
ejpam-6216	65	2	define	define	VERB
ejpam-6216	65	3	lower	low	ADJ
ejpam-6216	65	4	and	and	CCONJ
ejpam-6216	65	5	upper	upper	ADJ
ejpam-6216	65	6	approximations	approximation	NOUN
ejpam-6216	65	7	of	of	ADP
ejpam-6216	65	8	sets	set	NOUN
ejpam-6216	65	9	based	base	VERB
ejpam-6216	65	10	on	on	ADP
ejpam-6216	65	11	the	the	DET
ejpam-6216	65	12	available	available	ADJ
ejpam-6216	65	13	information	information	NOUN
ejpam-6216	65	14	.	.	PUNCT
ejpam-6216	66	1	the	the	DET
ejpam-6216	66	2	lower	low	ADJ
ejpam-6216	66	3	approximation	approximation	NOUN
ejpam-6216	66	4	represents	represent	VERB
ejpam-6216	66	5	the	the	DET
ejpam-6216	66	6	set	set	NOUN
ejpam-6216	66	7	of	of	ADP
ejpam-6216	66	8	elements	element	NOUN
ejpam-6216	66	9	that	that	PRON
ejpam-6216	66	10	are	be	AUX
ejpam-6216	66	11	certainly	certainly	ADV
ejpam-6216	66	12	within	within	ADP
ejpam-6216	66	13	the	the	DET
ejpam-6216	66	14	set	set	NOUN
ejpam-6216	66	15	,	,	PUNCT
ejpam-6216	66	16	while	while	SCONJ
ejpam-6216	66	17	the	the	DET
ejpam-6216	66	18	upper	upper	ADJ
ejpam-6216	66	19	approximation	approximation	NOUN
ejpam-6216	66	20	includes	include	VERB
ejpam-6216	66	21	elements	element	NOUN
ejpam-6216	66	22	that	that	PRON
ejpam-6216	66	23	may	may	AUX
ejpam-6216	66	24	or	or	CCONJ
ejpam-6216	66	25	may	may	AUX
ejpam-6216	66	26	not	not	PART
ejpam-6216	66	27	be	be	AUX
ejpam-6216	66	28	part	part	NOUN
ejpam-6216	66	29	of	of	ADP
ejpam-6216	66	30	the	the	DET
ejpam-6216	66	31	set	set	NOUN
ejpam-6216	66	32	.	.	PUNCT
ejpam-6216	67	1	the	the	DET
ejpam-6216	67	2	boundary	boundary	ADJ
ejpam-6216	67	3	region	region	NOUN
ejpam-6216	67	4	of	of	ADP
ejpam-6216	67	5	a	a	DET
ejpam-6216	67	6	set	set	NOUN
ejpam-6216	67	7	in	in	ADP
ejpam-6216	67	8	rough	rough	ADJ
ejpam-6216	67	9	set	set	NOUN
ejpam-6216	67	10	theory	theory	NOUN
ejpam-6216	67	11	consists	consist	VERB
ejpam-6216	67	12	of	of	ADP
ejpam-6216	67	13	elements	element	NOUN
ejpam-6216	67	14	that	that	PRON
ejpam-6216	67	15	are	be	AUX
ejpam-6216	67	16	uncertain	uncertain	ADJ
ejpam-6216	67	17	or	or	CCONJ
ejpam-6216	67	18	indeterminate	indeterminate	VERB
ejpam-6216	67	19	about	about	ADP
ejpam-6216	67	20	their	their	PRON
ejpam-6216	67	21	membership	membership	NOUN
ejpam-6216	67	22	status	status	NOUN
ejpam-6216	67	23	.	.	PUNCT
ejpam-6216	68	1	these	these	DET
ejpam-6216	68	2	elements	element	NOUN
ejpam-6216	68	3	lie	lie	VERB
ejpam-6216	68	4	on	on	ADP
ejpam-6216	68	5	the	the	DET
ejpam-6216	68	6	boundary	boundary	NOUN
ejpam-6216	68	7	between	between	ADP
ejpam-6216	68	8	the	the	DET
ejpam-6216	68	9	lower	low	ADJ
ejpam-6216	68	10	and	and	CCONJ
ejpam-6216	68	11	upper	upper	ADJ
ejpam-6216	68	12	approximations	approximation	NOUN
ejpam-6216	68	13	of	of	ADP
ejpam-6216	68	14	the	the	DET
ejpam-6216	68	15	set	set	NOUN
ejpam-6216	68	16	.	.	PUNCT
ejpam-6216	69	1	this	this	DET
ejpam-6216	69	2	approach	approach	NOUN
ejpam-6216	69	3	was	be	AUX
ejpam-6216	69	4	shown	show	VERB
ejpam-6216	69	5	to	to	PART
ejpam-6216	69	6	be	be	AUX
ejpam-6216	69	7	effective	effective	ADJ
ejpam-6216	69	8	for	for	ADP
ejpam-6216	69	9	knowledge	knowledge	NOUN
ejpam-6216	69	10	discovery	discovery	NOUN
ejpam-6216	69	11	and	and	CCONJ
ejpam-6216	69	12	data	datum	NOUN
ejpam-6216	69	13	analysis	analysis	NOUN
ejpam-6216	69	14	by	by	ADP
ejpam-6216	69	15	kryszkiewicz	kryszkiewicz	NOUN
ejpam-6216	70	1	[	[	X
ejpam-6216	70	2	37	37	NUM
ejpam-6216	70	3	]	]	PUNCT
ejpam-6216	70	4	.	.	PUNCT
ejpam-6216	71	1	to	to	PART
ejpam-6216	71	2	harness	harness	VERB
ejpam-6216	71	3	the	the	DET
ejpam-6216	71	4	strengths	strength	NOUN
ejpam-6216	71	5	of	of	ADP
ejpam-6216	71	6	both	both	DET
ejpam-6216	71	7	paradigms	paradigm	NOUN
ejpam-6216	71	8	,	,	PUNCT
ejpam-6216	71	9	dubois	dubois	PROPN
ejpam-6216	71	10	and	and	CCONJ
ejpam-6216	71	11	prade	prade	VERB
ejpam-6216	71	12	[	[	X
ejpam-6216	71	13	38	38	NUM
ejpam-6216	71	14	,	,	PUNCT
ejpam-6216	71	15	39	39	NUM
ejpam-6216	71	16	]	]	PUNCT
ejpam-6216	71	17	introduced	introduce	VERB
ejpam-6216	71	18	hybrid	hybrid	NOUN
ejpam-6216	71	19	models	model	NOUN
ejpam-6216	71	20	like	like	ADP
ejpam-6216	71	21	rough	rough	ADJ
ejpam-6216	71	22	fuzzy	fuzzy	ADJ
ejpam-6216	71	23	sets	set	NOUN
ejpam-6216	71	24	,	,	PUNCT
ejpam-6216	71	25	which	which	PRON
ejpam-6216	71	26	were	be	AUX
ejpam-6216	71	27	extensively	extensively	ADV
ejpam-6216	71	28	studied	study	VERB
ejpam-6216	71	29	and	and	CCONJ
ejpam-6216	71	30	generalized	generalize	VERB
ejpam-6216	71	31	by	by	ADP
ejpam-6216	71	32	yao	yao	PROPN
ejpam-6216	72	1	[	[	X
ejpam-6216	72	2	40	40	NUM
ejpam-6216	72	3	]	]	PUNCT
ejpam-6216	72	4	,	,	PUNCT
ejpam-6216	72	5	radzikowska	radzikowska	NOUN
ejpam-6216	72	6	and	and	CCONJ
ejpam-6216	72	7	kerre	kerre	ADJ
ejpam-6216	72	8	[	[	X
ejpam-6216	72	9	41	41	NUM
ejpam-6216	72	10	]	]	PUNCT
ejpam-6216	72	11	,	,	PUNCT
ejpam-6216	72	12	and	and	CCONJ
ejpam-6216	72	13	yeung	yeung	PROPN
ejpam-6216	72	14	et	et	PROPN
ejpam-6216	72	15	al	al	PROPN
ejpam-6216	72	16	.	.	PUNCT
ejpam-6216	73	1	[	[	X
ejpam-6216	73	2	42	42	NUM
ejpam-6216	73	3	]	]	PUNCT
ejpam-6216	73	4	.	.	PUNCT
ejpam-6216	74	1	this	this	DET
ejpam-6216	74	2	hybridization	hybridization	NOUN
ejpam-6216	74	3	was	be	AUX
ejpam-6216	74	4	later	later	ADV
ejpam-6216	74	5	applied	apply	VERB
ejpam-6216	74	6	to	to	ADP
ejpam-6216	74	7	bipolar	bipolar	ADJ
ejpam-6216	74	8	fuzzy	fuzzy	ADJ
ejpam-6216	74	9	environments	environment	NOUN
ejpam-6216	74	10	by	by	ADP
ejpam-6216	74	11	yang	yang	PROPN
ejpam-6216	74	12	et	et	PROPN
ejpam-6216	74	13	al	al	PROPN
ejpam-6216	74	14	.	.	PUNCT
ejpam-6216	75	1	[	[	X
ejpam-6216	75	2	43	43	NUM
ejpam-6216	75	3	,	,	PUNCT
ejpam-6216	75	4	44	44	NUM
ejpam-6216	75	5	]	]	PUNCT
ejpam-6216	75	6	.	.	PUNCT
ejpam-6216	76	1	after	after	ADP
ejpam-6216	76	2	that	that	PRON
ejpam-6216	76	3	,	,	PUNCT
ejpam-6216	76	4	researchers	researcher	NOUN
ejpam-6216	76	5	[	[	X
ejpam-6216	76	6	54–57	54–57	NUM
ejpam-6216	76	7	]	]	PUNCT
ejpam-6216	76	8	extended	extend	VERB
ejpam-6216	76	9	the	the	DET
ejpam-6216	76	10	research	research	NOUN
ejpam-6216	76	11	of	of	ADP
ejpam-6216	76	12	rough	rough	ADJ
ejpam-6216	76	13	graphs	graph	NOUN
ejpam-6216	76	14	and	and	CCONJ
ejpam-6216	76	15	studied	study	VERB
ejpam-6216	76	16	different	different	ADJ
ejpam-6216	76	17	types	type	NOUN
ejpam-6216	76	18	,	,	PUNCT
ejpam-6216	76	19	including	include	VERB
ejpam-6216	76	20	directed	direct	VERB
ejpam-6216	76	21	rough	rough	ADJ
ejpam-6216	76	22	graphs	graph	NOUN
ejpam-6216	76	23	,	,	PUNCT
ejpam-6216	76	24	and	and	CCONJ
ejpam-6216	76	25	vertex	vertex	NOUN
ejpam-6216	76	26	rough	rough	ADJ
ejpam-6216	76	27	graphs	graph	NOUN
ejpam-6216	76	28	,	,	PUNCT
ejpam-6216	76	29	and	and	CCONJ
ejpam-6216	76	30	discussed	discuss	VERB
ejpam-6216	76	31	their	their	PRON
ejpam-6216	76	32	properties	property	NOUN
ejpam-6216	76	33	.	.	PUNCT
ejpam-6216	77	1	these	these	DET
ejpam-6216	77	2	concepts	concept	NOUN
ejpam-6216	77	3	were	be	AUX
ejpam-6216	77	4	then	then	ADV
ejpam-6216	77	5	extended	extend	VERB
ejpam-6216	77	6	to	to	ADP
ejpam-6216	77	7	network	network	NOUN
ejpam-6216	77	8	structures	structure	NOUN
ejpam-6216	77	9	.	.	PUNCT
ejpam-6216	78	1	rough	rough	ADJ
ejpam-6216	78	2	graph	graph	NOUN
ejpam-6216	78	3	theory	theory	NOUN
ejpam-6216	78	4	extends	extend	VERB
ejpam-6216	78	5	rough	rough	ADJ
ejpam-6216	78	6	set	set	NOUN
ejpam-6216	78	7	theory	theory	NOUN
ejpam-6216	78	8	and	and	CCONJ
ejpam-6216	78	9	graph	graph	NOUN
ejpam-6216	78	10	theory	theory	NOUN
ejpam-6216	78	11	to	to	PART
ejpam-6216	78	12	analyze	analyze	VERB
ejpam-6216	78	13	and	and	CCONJ
ejpam-6216	78	14	characterize	characterize	VERB
ejpam-6216	78	15	imprecise	imprecise	NOUN
ejpam-6216	78	16	or	or	CCONJ
ejpam-6216	78	17	uncertain	uncertain	ADJ
ejpam-6216	78	18	data	datum	NOUN
ejpam-6216	78	19	in	in	ADP
ejpam-6216	78	20	graph	graph	NOUN
ejpam-6216	78	21	-	-	PUNCT
ejpam-6216	78	22	based	base	VERB
ejpam-6216	78	23	systems	system	NOUN
ejpam-6216	78	24	.	.	PUNCT
ejpam-6216	79	1	he	he	PRON
ejpam-6216	79	2	et	et	PROPN
ejpam-6216	79	3	al	al	PROPN
ejpam-6216	79	4	.	.	PUNCT
ejpam-6216	80	1	[	[	X
ejpam-6216	80	2	49–52	49–52	NOUN
ejpam-6216	80	3	]	]	PUNCT
ejpam-6216	80	4	introduced	introduce	VERB
ejpam-6216	80	5	the	the	DET
ejpam-6216	80	6	notion	notion	NOUN
ejpam-6216	80	7	of	of	ADP
ejpam-6216	80	8	rough	rough	ADJ
ejpam-6216	80	9	graphs	graph	NOUN
ejpam-6216	80	10	and	and	CCONJ
ejpam-6216	80	11	their	their	PRON
ejpam-6216	80	12	types	type	NOUN
ejpam-6216	80	13	,	,	PUNCT
ejpam-6216	80	14	including	include	VERB
ejpam-6216	80	15	weighted	weight	VERB
ejpam-6216	80	16	rough	rough	ADJ
ejpam-6216	80	17	graphs	graph	NOUN
ejpam-6216	80	18	and	and	CCONJ
ejpam-6216	80	19	s	s	NOUN
ejpam-6216	80	20	-	-	PUNCT
ejpam-6216	80	21	rough	rough	ADJ
ejpam-6216	80	22	graphs	graph	NOUN
ejpam-6216	80	23	.	.	PUNCT
ejpam-6216	81	1	liang	liang	PROPN
ejpam-6216	81	2	et	et	PROPN
ejpam-6216	81	3	al	al	PROPN
ejpam-6216	81	4	.	.	PUNCT
ejpam-6216	82	1	[	[	X
ejpam-6216	82	2	53	53	NUM
ejpam-6216	82	3	]	]	PUNCT
ejpam-6216	82	4	studied	study	VERB
ejpam-6216	82	5	the	the	DET
ejpam-6216	82	6	type	type	NOUN
ejpam-6216	82	7	of	of	ADP
ejpam-6216	82	8	rough	rough	ADJ
ejpam-6216	82	9	graph	graph	NOUN
ejpam-6216	82	10	,	,	PUNCT
ejpam-6216	82	11	known	know	VERB
ejpam-6216	82	12	as	as	ADP
ejpam-6216	82	13	an	an	DET
ejpam-6216	82	14	edge	edge	NOUN
ejpam-6216	82	15	rough	rough	ADJ
ejpam-6216	82	16	graph	graph	NOUN
ejpam-6216	82	17	.	.	PUNCT
ejpam-6216	83	1	akram	akram	PROPN
ejpam-6216	83	2	and	and	CCONJ
ejpam-6216	83	3	arshad	arshad	VERB
ejpam-6216	84	1	[	[	X
ejpam-6216	84	2	58	58	NUM
ejpam-6216	84	3	]	]	PUNCT
ejpam-6216	84	4	presented	present	VERB
ejpam-6216	84	5	fuzzy	fuzzy	ADJ
ejpam-6216	84	6	rough	rough	ADJ
ejpam-6216	84	7	graph	graph	NOUN
ejpam-6216	84	8	theory	theory	NOUN
ejpam-6216	84	9	.	.	PUNCT
ejpam-6216	85	1	while	while	SCONJ
ejpam-6216	85	2	fuzzy	fuzzy	ADJ
ejpam-6216	85	3	graphs	graph	NOUN
ejpam-6216	85	4	focus	focus	VERB
ejpam-6216	85	5	on	on	ADP
ejpam-6216	85	6	representing	represent	VERB
ejpam-6216	85	7	uncertainty	uncertainty	NOUN
ejpam-6216	85	8	and	and	CCONJ
ejpam-6216	85	9	vagueness	vagueness	NOUN
ejpam-6216	85	10	in	in	ADP
ejpam-6216	85	11	graph	graph	NOUN
ejpam-6216	85	12	-	-	PUNCT
ejpam-6216	85	13	based	base	VERB
ejpam-6216	85	14	data	datum	NOUN
ejpam-6216	85	15	through	through	ADP
ejpam-6216	85	16	fuzzy	fuzzy	ADJ
ejpam-6216	85	17	membership	membership	NOUN
ejpam-6216	85	18	values	value	NOUN
ejpam-6216	85	19	,	,	PUNCT
ejpam-6216	85	20	fuzzy	fuzzy	ADJ
ejpam-6216	85	21	rough	rough	ADJ
ejpam-6216	85	22	graphs	graph	NOUN
ejpam-6216	85	23	extend	extend	VERB
ejpam-6216	85	24	this	this	DET
ejpam-6216	85	25	concept	concept	NOUN
ejpam-6216	85	26	by	by	ADP
ejpam-6216	85	27	incorporating	incorporate	VERB
ejpam-6216	85	28	rs	rs	ADJ
ejpam-6216	85	29	approximations	approximation	NOUN
ejpam-6216	85	30	to	to	PART
ejpam-6216	85	31	handle	handle	VERB
ejpam-6216	85	32	uncertainty	uncertainty	NOUN
ejpam-6216	85	33	and	and	CCONJ
ejpam-6216	85	34	approximation	approximation	NOUN
ejpam-6216	85	35	simultaneously	simultaneously	ADV
ejpam-6216	85	36	.	.	PUNCT
ejpam-6216	86	1	researchers	researcher	NOUN
ejpam-6216	86	2	[	[	X
ejpam-6216	86	3	59	59	NUM
ejpam-6216	86	4	,	,	PUNCT
ejpam-6216	86	5	60	60	NUM
ejpam-6216	86	6	]	]	PUNCT
ejpam-6216	86	7	studied	study	VERB
ejpam-6216	86	8	properties	property	NOUN
ejpam-6216	86	9	and	and	CCONJ
ejpam-6216	86	10	extensions	extension	NOUN
ejpam-6216	86	11	of	of	ADP
ejpam-6216	86	12	rough	rough	ADJ
ejpam-6216	86	13	fuzzy	fuzzy	ADJ
ejpam-6216	86	14	graphs	graph	NOUN
ejpam-6216	86	15	in	in	ADP
ejpam-6216	86	16	the	the	DET
ejpam-6216	86	17	neutrosophic	neutrosophic	ADJ
ejpam-6216	86	18	sets	set	NOUN
ejpam-6216	86	19	.	.	PUNCT
ejpam-6216	87	1	the	the	DET
ejpam-6216	87	2	study	study	NOUN
ejpam-6216	87	3	of	of	ADP
ejpam-6216	87	4	directed	direct	VERB
ejpam-6216	87	5	rough	rough	ADJ
ejpam-6216	87	6	fuzzy	fuzzy	ADJ
ejpam-6216	87	7	graphs	graph	NOUN
ejpam-6216	87	8	was	be	AUX
ejpam-6216	87	9	expanded	expand	VERB
ejpam-6216	87	10	upon	upon	SCONJ
ejpam-6216	87	11	by	by	ADP
ejpam-6216	87	12	ahmad	ahmad	NOUN
ejpam-6216	87	13	and	and	CCONJ
ejpam-6216	87	14	nawaz	nawaz	ADJ
ejpam-6216	87	15	[	[	PUNCT
ejpam-6216	87	16	62	62	NUM
ejpam-6216	87	17	,	,	PUNCT
ejpam-6216	87	18	63	63	NUM
ejpam-6216	87	19	]	]	PUNCT
ejpam-6216	87	20	,	,	PUNCT
ejpam-6216	87	21	who	who	PRON
ejpam-6216	87	22	also	also	ADV
ejpam-6216	87	23	examined	examine	VERB
ejpam-6216	87	24	its	its	PRON
ejpam-6216	87	25	practical	practical	ADJ
ejpam-6216	87	26	applications	application	NOUN
ejpam-6216	87	27	in	in	ADP
ejpam-6216	87	28	networks	network	NOUN
ejpam-6216	87	29	related	relate	VERB
ejpam-6216	87	30	to	to	ADP
ejpam-6216	87	31	human	human	ADJ
ejpam-6216	87	32	trafficking	trafficking	NOUN
ejpam-6216	87	33	and	and	CCONJ
ejpam-6216	87	34	trade	trade	NOUN
ejpam-6216	87	35	.	.	PUNCT
ejpam-6216	88	1	in	in	ADP
ejpam-6216	88	2	their	their	PRON
ejpam-6216	88	3	study	study	NOUN
ejpam-6216	88	4	of	of	ADP
ejpam-6216	88	5	vertex	vertex	NOUN
ejpam-6216	88	6	degree	degree	NOUN
ejpam-6216	88	7	concepts	concept	NOUN
ejpam-6216	88	8	,	,	PUNCT
ejpam-6216	88	9	nawaz	nawaz	NOUN
ejpam-6216	88	10	and	and	CCONJ
ejpam-6216	88	11	ahmad	ahmad	PROPN
ejpam-6216	88	12	[	[	X
ejpam-6216	88	13	64	64	NUM
ejpam-6216	88	14	]	]	PUNCT
ejpam-6216	88	15	defined	define	VERB
ejpam-6216	88	16	several	several	ADJ
ejpam-6216	88	17	operations	operation	NOUN
ejpam-6216	88	18	,	,	PUNCT
ejpam-6216	88	19	such	such	ADJ
ejpam-6216	88	20	as	as	ADP
ejpam-6216	88	21	union	union	NOUN
ejpam-6216	88	22	,	,	PUNCT
ejpam-6216	88	23	cartesian	cartesian	ADJ
ejpam-6216	88	24	product	product	NOUN
ejpam-6216	88	25	,	,	PUNCT
ejpam-6216	88	26	and	and	CCONJ
ejpam-6216	88	27	composition	composition	NOUN
ejpam-6216	88	28	of	of	ADP
ejpam-6216	88	29	directed	direct	VERB
ejpam-6216	88	30	rough	rough	ADJ
ejpam-6216	88	31	fuzzy	fuzzy	ADJ
ejpam-6216	88	32	graphs	graph	NOUN
ejpam-6216	88	33	.	.	PUNCT
ejpam-6216	89	1	akram	akram	PROPN
ejpam-6216	89	2	and	and	CCONJ
ejpam-6216	89	3	zafar	zafar	PROPN
ejpam-6216	90	1	[	[	X
ejpam-6216	90	2	65	65	NUM
ejpam-6216	90	3	]	]	PUNCT
ejpam-6216	90	4	initialized	initialize	VERB
ejpam-6216	90	5	the	the	DET
ejpam-6216	90	6	concept	concept	NOUN
ejpam-6216	90	7	of	of	ADP
ejpam-6216	90	8	connectivity	connectivity	NOUN
ejpam-6216	90	9	between	between	ADP
ejpam-6216	90	10	vertices	vertex	NOUN
ejpam-6216	90	11	and	and	CCONJ
ejpam-6216	90	12	edges	edge	NOUN
ejpam-6216	90	13	of	of	ADP
ejpam-6216	90	14	rough	rough	ADJ
ejpam-6216	90	15	fuzzy	fuzzy	ADJ
ejpam-6216	90	16	directed	direct	VERB
ejpam-6216	90	17	graphs	graph	NOUN
ejpam-6216	90	18	and	and	CCONJ
ejpam-6216	90	19	discovered	discover	VERB
ejpam-6216	90	20	its	its	PRON
ejpam-6216	90	21	applications	application	NOUN
ejpam-6216	90	22	in	in	ADP
ejpam-6216	90	23	decision	decision	NOUN
ejpam-6216	90	24	-	-	PUNCT
ejpam-6216	90	25	making	make	VERB
ejpam-6216	90	26	problems	problem	NOUN
ejpam-6216	90	27	.	.	PUNCT
ejpam-6216	91	1	ahmad	ahmad	PROPN
ejpam-6216	91	2	et	et	PROPN
ejpam-6216	91	3	al	al	PROPN
ejpam-6216	91	4	.	.	PUNCT
ejpam-6216	92	1	[	[	X
ejpam-6216	92	2	66	66	NUM
ejpam-6216	92	3	,	,	PUNCT
ejpam-6216	92	4	67	67	NUM
ejpam-6216	92	5	]	]	PUNCT
ejpam-6216	92	6	introduced	introduce	VERB
ejpam-6216	92	7	the	the	DET
ejpam-6216	92	8	concepts	concept	NOUN
ejpam-6216	92	9	of	of	ADP
ejpam-6216	92	10	strength	strength	NOUN
ejpam-6216	92	11	of	of	ADP
ejpam-6216	92	12	connectivity	connectivity	NOUN
ejpam-6216	92	13	,	,	PUNCT
ejpam-6216	92	14	neighborhood	neighborhood	NOUN
ejpam-6216	92	15	connectivity	connectivity	NOUN
ejpam-6216	92	16	index	index	NOUN
ejpam-6216	92	17	,	,	PUNCT
ejpam-6216	92	18	and	and	CCONJ
ejpam-6216	92	19	domination	domination	NOUN
ejpam-6216	92	20	in	in	ADP
ejpam-6216	92	21	rough	rough	ADJ
ejpam-6216	92	22	fuzzy	fuzzy	ADJ
ejpam-6216	92	23	directed	direct	VERB
ejpam-6216	92	24	graphs	graph	NOUN
ejpam-6216	92	25	.	.	PUNCT
ejpam-6216	93	1	khan	khan	PROPN
ejpam-6216	93	2	et	et	PROPN
ejpam-6216	93	3	al	al	PROPN
ejpam-6216	93	4	.	.	PUNCT
ejpam-6216	94	1	[	[	X
ejpam-6216	94	2	68	68	NUM
ejpam-6216	94	3	,	,	PUNCT
ejpam-6216	94	4	69	69	NUM
ejpam-6216	94	5	]	]	PUNCT
ejpam-6216	94	6	established	establish	VERB
ejpam-6216	94	7	a	a	DET
ejpam-6216	94	8	non	non	ADJ
ejpam-6216	94	9	-	-	ADJ
ejpam-6216	94	10	linear	linear	ADJ
ejpam-6216	94	11	system	system	NOUN
ejpam-6216	94	12	of	of	ADP
ejpam-6216	94	13	variable	variable	ADJ
ejpam-6216	94	14	order	order	NOUN
ejpam-6216	94	15	of	of	ADP
ejpam-6216	94	16	fractional	fractional	ADJ
ejpam-6216	94	17	differential	differential	ADJ
ejpam-6216	94	18	equations	equation	NOUN
ejpam-6216	94	19	and	and	CCONJ
ejpam-6216	94	20	a	a	DET
ejpam-6216	94	21	fractal	fractal	ADJ
ejpam-6216	94	22	-	-	PUNCT
ejpam-6216	94	23	fractional	fractional	ADJ
ejpam-6216	94	24	hybrid	hybrid	ADJ
ejpam-6216	94	25	model	model	NOUN
ejpam-6216	94	26	to	to	PART
ejpam-6216	94	27	calculate	calculate	VERB
ejpam-6216	94	28	the	the	DET
ejpam-6216	94	29	impact	impact	NOUN
ejpam-6216	94	30	of	of	ADP
ejpam-6216	94	31	fast	fast	ADV
ejpam-6216	94	32	-	-	PUNCT
ejpam-6216	94	33	moving	move	VERB
ejpam-6216	94	34	greenhouse	greenhouse	NOUN
ejpam-6216	94	35	gas	gas	NOUN
ejpam-6216	94	36	emissions	emission	NOUN
ejpam-6216	94	37	on	on	ADP
ejpam-6216	94	38	climate	climate	NOUN
ejpam-6216	94	39	change	change	NOUN
ejpam-6216	94	40	and	and	CCONJ
ejpam-6216	94	41	coastal	coastal	ADJ
ejpam-6216	94	42	ecosystems	ecosystem	NOUN
ejpam-6216	94	43	.	.	PUNCT
ejpam-6216	95	1	kundu	kundu	PROPN
ejpam-6216	95	2	et	et	PROPN
ejpam-6216	95	3	al	al	PROPN
ejpam-6216	95	4	.	.	PUNCT
ejpam-6216	96	1	[	[	X
ejpam-6216	96	2	70	70	NUM
ejpam-6216	96	3	]	]	PUNCT
ejpam-6216	96	4	studied	study	VERB
ejpam-6216	96	5	the	the	DET
ejpam-6216	96	6	complexity	complexity	NOUN
ejpam-6216	96	7	of	of	ADP
ejpam-6216	96	8	habitat	habitat	NOUN
ejpam-6216	96	9	in	in	ADP
ejpam-6216	96	10	a	a	DET
ejpam-6216	96	11	discrete	discrete	ADJ
ejpam-6216	96	12	predator	predator	NOUN
ejpam-6216	96	13	-	-	PUNCT
ejpam-6216	96	14	prey	prey	NOUN
ejpam-6216	96	15	model	model	NOUN
ejpam-6216	96	16	.	.	PUNCT
ejpam-6216	97	1	alzabut	alzabut	PROPN
ejpam-6216	97	2	et	et	PROPN
ejpam-6216	97	3	al	al	PROPN
ejpam-6216	97	4	.	.	PUNCT
ejpam-6216	98	1	[	[	X
ejpam-6216	98	2	71	71	NUM
ejpam-6216	98	3	]	]	PUNCT
ejpam-6216	98	4	a.	a.	PROPN
ejpam-6216	98	5	arif	arif	PROPN
ejpam-6216	98	6	et	et	PROPN
ejpam-6216	98	7	al	al	PROPN
ejpam-6216	98	8	.	.	PUNCT
ejpam-6216	98	9	/	/	SYM
ejpam-6216	98	10	eur	eur	PROPN
ejpam-6216	98	11	.	.	PUNCT
ejpam-6216	99	1	j.	j.	PROPN
ejpam-6216	99	2	pure	pure	PROPN
ejpam-6216	99	3	appl	appl	PROPN
ejpam-6216	99	4	.	.	PROPN
ejpam-6216	99	5	math	math	PROPN
ejpam-6216	99	6	,	,	PUNCT
ejpam-6216	99	7	18	18	NUM
ejpam-6216	99	8	(	(	PUNCT
ejpam-6216	99	9	4	4	NUM
ejpam-6216	99	10	)	)	PUNCT
ejpam-6216	99	11	(	(	PUNCT
ejpam-6216	99	12	2025	2025	NUM
ejpam-6216	99	13	)	)	PUNCT
ejpam-6216	99	14	,	,	PUNCT
ejpam-6216	99	15	6216	6216	NUM
ejpam-6216	99	16	4	4	NUM
ejpam-6216	99	17	of	of	ADP
ejpam-6216	99	18	36	36	NUM
ejpam-6216	99	19	studied	study	VERB
ejpam-6216	99	20	a	a	DET
ejpam-6216	99	21	discrete	discrete	ADJ
ejpam-6216	99	22	fractional	fractional	ADJ
ejpam-6216	99	23	equation	equation	NOUN
ejpam-6216	99	24	model	model	NOUN
ejpam-6216	99	25	with	with	ADP
ejpam-6216	99	26	an	an	DET
ejpam-6216	99	27	initial	initial	ADJ
ejpam-6216	99	28	condition	condition	NOUN
ejpam-6216	99	29	built	build	VERB
ejpam-6216	99	30	to	to	PART
ejpam-6216	99	31	investigate	investigate	VERB
ejpam-6216	99	32	tumor	tumor	NOUN
ejpam-6216	99	33	-	-	PUNCT
ejpam-6216	99	34	immune	immune	ADJ
ejpam-6216	99	35	interactions	interaction	NOUN
ejpam-6216	99	36	.	.	PUNCT
ejpam-6216	100	1	this	this	PRON
ejpam-6216	100	2	brings	bring	VERB
ejpam-6216	100	3	us	we	PRON
ejpam-6216	100	4	to	to	ADP
ejpam-6216	100	5	a	a	DET
ejpam-6216	100	6	critical	critical	ADJ
ejpam-6216	100	7	and	and	CCONJ
ejpam-6216	100	8	unaddressed	unaddresse	VERB
ejpam-6216	100	9	research	research	NOUN
ejpam-6216	100	10	gap	gap	NOUN
ejpam-6216	100	11	.	.	PUNCT
ejpam-6216	101	1	the	the	DET
ejpam-6216	101	2	literature	literature	NOUN
ejpam-6216	101	3	shows	show	VERB
ejpam-6216	101	4	two	two	NUM
ejpam-6216	101	5	powerful	powerful	ADJ
ejpam-6216	101	6	,	,	PUNCT
ejpam-6216	101	7	but	but	CCONJ
ejpam-6216	101	8	separate	separate	ADJ
ejpam-6216	101	9	,	,	PUNCT
ejpam-6216	101	10	streams	stream	NOUN
ejpam-6216	101	11	of	of	ADP
ejpam-6216	101	12	development	development	NOUN
ejpam-6216	101	13	:	:	PUNCT
ejpam-6216	101	14	bipolar	bipolar	ADJ
ejpam-6216	101	15	fuzzy	fuzzy	ADJ
ejpam-6216	101	16	graphs	graph	NOUN
ejpam-6216	101	17	and	and	CCONJ
ejpam-6216	101	18	fuzzy	fuzzy	ADJ
ejpam-6216	101	19	rough	rough	ADJ
ejpam-6216	101	20	digraphs	digraph	NOUN
ejpam-6216	101	21	.	.	PUNCT
ejpam-6216	102	1	to	to	ADP
ejpam-6216	102	2	date	date	NOUN
ejpam-6216	102	3	,	,	PUNCT
ejpam-6216	102	4	no	no	DET
ejpam-6216	102	5	framework	framework	NOUN
ejpam-6216	102	6	unifies	unify	VERB
ejpam-6216	102	7	these	these	DET
ejpam-6216	102	8	capabilities	capability	NOUN
ejpam-6216	102	9	.	.	PUNCT
ejpam-6216	103	1	the	the	DET
ejpam-6216	103	2	motivation	motivation	NOUN
ejpam-6216	103	3	for	for	ADP
ejpam-6216	103	4	this	this	DET
ejpam-6216	103	5	research	research	NOUN
ejpam-6216	103	6	is	be	AUX
ejpam-6216	103	7	to	to	PART
ejpam-6216	103	8	fill	fill	VERB
ejpam-6216	103	9	this	this	DET
ejpam-6216	103	10	void	void	NOUN
ejpam-6216	103	11	.	.	PUNCT
ejpam-6216	104	1	the	the	DET
ejpam-6216	104	2	urgency	urgency	NOUN
ejpam-6216	104	3	of	of	ADP
ejpam-6216	104	4	this	this	DET
ejpam-6216	104	5	integration	integration	NOUN
ejpam-6216	104	6	is	be	AUX
ejpam-6216	104	7	underscored	underscore	VERB
ejpam-6216	104	8	by	by	ADP
ejpam-6216	104	9	the	the	DET
ejpam-6216	104	10	widespread	widespread	ADJ
ejpam-6216	104	11	success	success	NOUN
ejpam-6216	104	12	of	of	ADP
ejpam-6216	104	13	bipolar	bipolar	ADJ
ejpam-6216	104	14	fuzzy	fuzzy	ADJ
ejpam-6216	104	15	logic	logic	NOUN
ejpam-6216	104	16	in	in	ADP
ejpam-6216	104	17	various	various	ADJ
ejpam-6216	104	18	decision	decision	NOUN
ejpam-6216	104	19	-	-	PUNCT
ejpam-6216	104	20	making	make	VERB
ejpam-6216	104	21	domains	domain	NOUN
ejpam-6216	104	22	,	,	PUNCT
ejpam-6216	104	23	as	as	SCONJ
ejpam-6216	104	24	demonstrated	demonstrate	VERB
ejpam-6216	104	25	in	in	ADP
ejpam-6216	104	26	recent	recent	ADJ
ejpam-6216	104	27	studies	study	NOUN
ejpam-6216	104	28	.	.	PUNCT
ejpam-6216	105	1	the	the	DET
ejpam-6216	105	2	literature	literature	NOUN
ejpam-6216	105	3	provides	provide	VERB
ejpam-6216	105	4	extensive	extensive	ADJ
ejpam-6216	105	5	evidence	evidence	NOUN
ejpam-6216	105	6	for	for	ADP
ejpam-6216	105	7	the	the	DET
ejpam-6216	105	8	efficacy	efficacy	NOUN
ejpam-6216	105	9	of	of	ADP
ejpam-6216	105	10	bipolar	bipolar	ADJ
ejpam-6216	105	11	fuzzy	fuzzy	ADJ
ejpam-6216	105	12	sets	set	NOUN
ejpam-6216	105	13	(	(	PUNCT
ejpam-6216	105	14	bfss	bfss	NOUN
ejpam-6216	105	15	)	)	PUNCT
ejpam-6216	105	16	in	in	ADP
ejpam-6216	105	17	advancing	advance	VERB
ejpam-6216	105	18	multi	multi	ADJ
ejpam-6216	105	19	-	-	ADJ
ejpam-6216	105	20	criteria	criterion	NOUN
ejpam-6216	105	21	decision	decision	NOUN
ejpam-6216	105	22	making	make	VERB
ejpam-6216	105	23	methodologies	methodology	NOUN
ejpam-6216	105	24	,	,	PUNCT
ejpam-6216	105	25	as	as	SCONJ
ejpam-6216	105	26	summarized	summarize	VERB
ejpam-6216	105	27	in	in	ADP
ejpam-6216	105	28	the	the	DET
ejpam-6216	105	29	work	work	NOUN
ejpam-6216	105	30	of	of	ADP
ejpam-6216	105	31	akram	akram	PROPN
ejpam-6216	105	32	et	et	PROPN
ejpam-6216	105	33	al	al	PROPN
ejpam-6216	105	34	.	.	PUNCT
ejpam-6216	106	1	[	[	X
ejpam-6216	106	2	72	72	NUM
ejpam-6216	106	3	]	]	PUNCT
ejpam-6216	106	4	.	.	PUNCT
ejpam-6216	107	1	this	this	DET
ejpam-6216	107	2	framework	framework	NOUN
ejpam-6216	107	3	’s	’s	PART
ejpam-6216	107	4	practical	practical	ADJ
ejpam-6216	107	5	utility	utility	NOUN
ejpam-6216	107	6	is	be	AUX
ejpam-6216	107	7	demonstrated	demonstrate	VERB
ejpam-6216	107	8	through	through	ADP
ejpam-6216	107	9	its	its	PRON
ejpam-6216	107	10	successful	successful	ADJ
ejpam-6216	107	11	integration	integration	NOUN
ejpam-6216	107	12	with	with	ADP
ejpam-6216	107	13	established	establish	VERB
ejpam-6216	107	14	mcdm	mcdm	ADJ
ejpam-6216	107	15	techniques	technique	NOUN
ejpam-6216	107	16	to	to	PART
ejpam-6216	107	17	solve	solve	VERB
ejpam-6216	107	18	complex	complex	ADJ
ejpam-6216	107	19	,	,	PUNCT
ejpam-6216	107	20	real	real	ADJ
ejpam-6216	107	21	-	-	PUNCT
ejpam-6216	107	22	world	world	NOUN
ejpam-6216	107	23	problems	problem	NOUN
ejpam-6216	107	24	.	.	PUNCT
ejpam-6216	108	1	for	for	ADP
ejpam-6216	108	2	example	example	NOUN
ejpam-6216	108	3	,	,	PUNCT
ejpam-6216	108	4	akram	akram	NOUN
ejpam-6216	108	5	and	and	CCONJ
ejpam-6216	108	6	shumaiza	shumaiza	NOUN
ejpam-6216	108	7	[	[	X
ejpam-6216	108	8	75	75	NUM
ejpam-6216	108	9	]	]	PUNCT
ejpam-6216	108	10	developed	develop	VERB
ejpam-6216	108	11	a	a	DET
ejpam-6216	108	12	bipolar	bipolar	ADJ
ejpam-6216	108	13	fuzzy	fuzzy	ADJ
ejpam-6216	108	14	promethee	promethee	NOUN
ejpam-6216	108	15	process	process	NOUN
ejpam-6216	108	16	for	for	ADP
ejpam-6216	108	17	green	green	ADJ
ejpam-6216	108	18	supplier	supplier	NOUN
ejpam-6216	108	19	selection	selection	NOUN
ejpam-6216	108	20	,	,	PUNCT
ejpam-6216	108	21	while	while	SCONJ
ejpam-6216	108	22	akram	akram	PROPN
ejpam-6216	108	23	et	et	PROPN
ejpam-6216	108	24	al	al	PROPN
ejpam-6216	108	25	.	.	PUNCT
ejpam-6216	109	1	[	[	X
ejpam-6216	109	2	76	76	NUM
ejpam-6216	109	3	]	]	PUNCT
ejpam-6216	109	4	extended	extend	VERB
ejpam-6216	109	5	the	the	DET
ejpam-6216	109	6	topsis	topsis	NOUN
ejpam-6216	109	7	and	and	CCONJ
ejpam-6216	109	8	electre	electre	NOUN
ejpam-6216	109	9	-	-	PUNCT
ejpam-6216	109	10	i	i	PRON
ejpam-6216	109	11	methods	method	NOUN
ejpam-6216	109	12	to	to	PART
ejpam-6216	109	13	handle	handle	VERB
ejpam-6216	109	14	nuanced	nuanced	ADJ
ejpam-6216	109	15	diagnostic	diagnostic	ADJ
ejpam-6216	109	16	problems	problem	NOUN
ejpam-6216	109	17	.	.	PUNCT
ejpam-6216	110	1	beyond	beyond	ADP
ejpam-6216	110	2	direct	direct	ADJ
ejpam-6216	110	3	application	application	NOUN
ejpam-6216	110	4	,	,	PUNCT
ejpam-6216	110	5	a	a	DET
ejpam-6216	110	6	significant	significant	ADJ
ejpam-6216	110	7	research	research	NOUN
ejpam-6216	110	8	thrust	thrust	NOUN
ejpam-6216	110	9	has	have	AUX
ejpam-6216	110	10	focused	focus	VERB
ejpam-6216	110	11	on	on	ADP
ejpam-6216	110	12	optimizing	optimize	VERB
ejpam-6216	110	13	these	these	DET
ejpam-6216	110	14	models	model	NOUN
ejpam-6216	110	15	for	for	ADP
ejpam-6216	110	16	efficiency	efficiency	NOUN
ejpam-6216	110	17	.	.	PUNCT
ejpam-6216	111	1	work	work	NOUN
ejpam-6216	111	2	by	by	ADP
ejpam-6216	111	3	ali	ali	PROPN
ejpam-6216	111	4	et	et	PROPN
ejpam-6216	111	5	al	al	PROPN
ejpam-6216	111	6	.	.	PROPN
ejpam-6216	111	7	has	have	AUX
ejpam-6216	111	8	been	be	AUX
ejpam-6216	111	9	pivotal	pivotal	ADJ
ejpam-6216	111	10	in	in	ADP
ejpam-6216	111	11	this	this	DET
ejpam-6216	111	12	area	area	NOUN
ejpam-6216	111	13	,	,	PUNCT
ejpam-6216	111	14	introducing	introduce	VERB
ejpam-6216	111	15	methods	method	NOUN
ejpam-6216	111	16	for	for	ADP
ejpam-6216	111	17	both	both	DET
ejpam-6216	111	18	attribute	attribute	NOUN
ejpam-6216	111	19	reduction	reduction	NOUN
ejpam-6216	111	20	in	in	ADP
ejpam-6216	111	21	bipolar	bipolar	ADJ
ejpam-6216	111	22	fuzzy	fuzzy	ADJ
ejpam-6216	111	23	relational	relational	ADJ
ejpam-6216	111	24	systems	system	NOUN
ejpam-6216	111	25	[	[	X
ejpam-6216	111	26	73	73	NUM
ejpam-6216	111	27	]	]	PUNCT
ejpam-6216	111	28	and	and	CCONJ
ejpam-6216	111	29	parameter	parameter	NOUN
ejpam-6216	111	30	reduction	reduction	NOUN
ejpam-6216	111	31	in	in	ADP
ejpam-6216	111	32	bipolar	bipolar	ADJ
ejpam-6216	111	33	fuzzy	fuzzy	ADJ
ejpam-6216	111	34	soft	soft	ADJ
ejpam-6216	111	35	sets	set	NOUN
ejpam-6216	111	36	[	[	X
ejpam-6216	111	37	77	77	NUM
ejpam-6216	111	38	]	]	PUNCT
ejpam-6216	111	39	,	,	PUNCT
ejpam-6216	111	40	thereby	thereby	ADV
ejpam-6216	111	41	making	make	VERB
ejpam-6216	111	42	the	the	DET
ejpam-6216	111	43	decision	decision	NOUN
ejpam-6216	111	44	-	-	PUNCT
ejpam-6216	111	45	making	make	VERB
ejpam-6216	111	46	algorithms	algorithm	NOUN
ejpam-6216	111	47	more	more	ADV
ejpam-6216	111	48	computationally	computationally	ADV
ejpam-6216	111	49	manageable	manageable	ADJ
ejpam-6216	111	50	.	.	PUNCT
ejpam-6216	112	1	the	the	DET
ejpam-6216	112	2	adaptability	adaptability	NOUN
ejpam-6216	112	3	of	of	ADP
ejpam-6216	112	4	the	the	DET
ejpam-6216	112	5	bfs	bfs	NOUN
ejpam-6216	112	6	framework	framework	NOUN
ejpam-6216	112	7	is	be	AUX
ejpam-6216	112	8	further	far	ADV
ejpam-6216	112	9	highlighted	highlight	VERB
ejpam-6216	112	10	by	by	ADP
ejpam-6216	112	11	its	its	PRON
ejpam-6216	112	12	application	application	NOUN
ejpam-6216	112	13	to	to	ADP
ejpam-6216	112	14	specialized	specialized	ADJ
ejpam-6216	112	15	data	datum	NOUN
ejpam-6216	112	16	structures	structure	NOUN
ejpam-6216	112	17	,	,	PUNCT
ejpam-6216	112	18	such	such	ADJ
ejpam-6216	112	19	as	as	ADP
ejpam-6216	112	20	the	the	DET
ejpam-6216	112	21	analysis	analysis	NOUN
ejpam-6216	112	22	of	of	ADP
ejpam-6216	112	23	bipolar	bipolar	ADJ
ejpam-6216	112	24	fuzzy	fuzzy	ADJ
ejpam-6216	112	25	n	n	CCONJ
ejpam-6216	112	26	-	-	PUNCT
ejpam-6216	112	27	soft	soft	ADJ
ejpam-6216	112	28	information	information	NOUN
ejpam-6216	112	29	by	by	ADP
ejpam-6216	112	30	akram	akram	PROPN
ejpam-6216	112	31	et	et	PROPN
ejpam-6216	112	32	al	al	PROPN
ejpam-6216	112	33	.	.	PUNCT
ejpam-6216	113	1	[	[	X
ejpam-6216	113	2	74	74	NUM
ejpam-6216	113	3	]	]	PUNCT
ejpam-6216	113	4	.	.	PUNCT
ejpam-6216	114	1	while	while	SCONJ
ejpam-6216	114	2	the	the	DET
ejpam-6216	114	3	concept	concept	NOUN
ejpam-6216	114	4	of	of	ADP
ejpam-6216	114	5	domination	domination	NOUN
ejpam-6216	114	6	in	in	ADP
ejpam-6216	114	7	fuzzy	fuzzy	ADJ
ejpam-6216	114	8	rough	rough	ADJ
ejpam-6216	114	9	digraphs	digraph	NOUN
ejpam-6216	114	10	(	(	PUNCT
ejpam-6216	114	11	frds	frd	NOUN
ejpam-6216	114	12	)	)	PUNCT
ejpam-6216	114	13	has	have	VERB
ejpam-6216	114	14	useful	useful	ADJ
ejpam-6216	114	15	applications	application	NOUN
ejpam-6216	114	16	,	,	PUNCT
ejpam-6216	114	17	it	it	PRON
ejpam-6216	114	18	suffers	suffer	VERB
ejpam-6216	114	19	from	from	ADP
ejpam-6216	114	20	a	a	DET
ejpam-6216	114	21	critical	critical	ADJ
ejpam-6216	114	22	problem	problem	NOUN
ejpam-6216	114	23	:	:	PUNCT
ejpam-6216	114	24	it	it	PRON
ejpam-6216	114	25	can	can	AUX
ejpam-6216	114	26	not	not	PART
ejpam-6216	114	27	effectively	effectively	ADV
ejpam-6216	114	28	model	model	VERB
ejpam-6216	114	29	situations	situation	NOUN
ejpam-6216	114	30	involving	involve	VERB
ejpam-6216	114	31	conflicting	conflict	VERB
ejpam-6216	114	32	positive	positive	ADJ
ejpam-6216	114	33	and	and	CCONJ
ejpam-6216	114	34	negative	negative	ADJ
ejpam-6216	114	35	information	information	NOUN
ejpam-6216	114	36	.	.	PUNCT
ejpam-6216	115	1	at	at	ADP
ejpam-6216	115	2	the	the	DET
ejpam-6216	115	3	same	same	ADJ
ejpam-6216	115	4	time	time	NOUN
ejpam-6216	115	5	,	,	PUNCT
ejpam-6216	115	6	bipolar	bipolar	ADJ
ejpam-6216	115	7	fuzzy	fuzzy	ADJ
ejpam-6216	115	8	sets	set	NOUN
ejpam-6216	115	9	have	have	AUX
ejpam-6216	115	10	been	be	AUX
ejpam-6216	115	11	extensively	extensively	ADV
ejpam-6216	115	12	applied	apply	VERB
ejpam-6216	115	13	to	to	ADP
ejpam-6216	115	14	algebraic	algebraic	ADJ
ejpam-6216	115	15	decision	decision	NOUN
ejpam-6216	115	16	-	-	PUNCT
ejpam-6216	115	17	making	making	NOUN
ejpam-6216	115	18	to	to	PART
ejpam-6216	115	19	handle	handle	VERB
ejpam-6216	115	20	precisely	precisely	ADV
ejpam-6216	115	21	this	this	DET
ejpam-6216	115	22	kind	kind	NOUN
ejpam-6216	115	23	of	of	ADP
ejpam-6216	115	24	duality	duality	NOUN
ejpam-6216	115	25	.	.	PUNCT
ejpam-6216	116	1	this	this	PRON
ejpam-6216	116	2	reveals	reveal	VERB
ejpam-6216	116	3	a	a	DET
ejpam-6216	116	4	significant	significant	ADJ
ejpam-6216	116	5	research	research	NOUN
ejpam-6216	116	6	gap	gap	NOUN
ejpam-6216	116	7	,	,	PUNCT
ejpam-6216	116	8	as	as	SCONJ
ejpam-6216	116	9	there	there	PRON
ejpam-6216	116	10	is	be	VERB
ejpam-6216	116	11	currently	currently	ADV
ejpam-6216	116	12	no	no	DET
ejpam-6216	116	13	mathematical	mathematical	ADJ
ejpam-6216	116	14	framework	framework	NOUN
ejpam-6216	116	15	that	that	PRON
ejpam-6216	116	16	integrates	integrate	VERB
ejpam-6216	116	17	the	the	DET
ejpam-6216	116	18	power	power	NOUN
ejpam-6216	116	19	of	of	ADP
ejpam-6216	116	20	bipolar	bipolar	ADJ
ejpam-6216	116	21	fuzzy	fuzzy	ADJ
ejpam-6216	116	22	sets	set	NOUN
ejpam-6216	116	23	with	with	ADP
ejpam-6216	116	24	the	the	DET
ejpam-6216	116	25	structural	structural	ADJ
ejpam-6216	116	26	uncertainty	uncertainty	NOUN
ejpam-6216	116	27	of	of	ADP
ejpam-6216	116	28	rough	rough	ADJ
ejpam-6216	116	29	digraphs	digraph	NOUN
ejpam-6216	116	30	to	to	ADP
ejpam-6216	116	31	model	model	NOUN
ejpam-6216	116	32	networks	network	NOUN
ejpam-6216	116	33	under	under	ADP
ejpam-6216	116	34	conditions	condition	NOUN
ejpam-6216	116	35	of	of	ADP
ejpam-6216	116	36	both	both	DET
ejpam-6216	116	37	bipolarity	bipolarity	NOUN
ejpam-6216	116	38	and	and	CCONJ
ejpam-6216	116	39	roughness	roughness	NOUN
ejpam-6216	116	40	simultaneously	simultaneously	ADV
ejpam-6216	116	41	.	.	PUNCT
ejpam-6216	117	1	the	the	DET
ejpam-6216	117	2	motivation	motivation	NOUN
ejpam-6216	117	3	for	for	ADP
ejpam-6216	117	4	this	this	DET
ejpam-6216	117	5	research	research	NOUN
ejpam-6216	117	6	stems	stem	VERB
ejpam-6216	117	7	directly	directly	ADV
ejpam-6216	117	8	from	from	ADP
ejpam-6216	117	9	this	this	DET
ejpam-6216	117	10	gap	gap	NOUN
ejpam-6216	117	11	.	.	PUNCT
ejpam-6216	118	1	real	real	ADJ
ejpam-6216	118	2	-	-	PUNCT
ejpam-6216	118	3	world	world	NOUN
ejpam-6216	118	4	decision	decision	NOUN
ejpam-6216	118	5	scenarios	scenario	NOUN
ejpam-6216	118	6	are	be	AUX
ejpam-6216	118	7	frequently	frequently	ADV
ejpam-6216	118	8	characterized	characterize	VERB
ejpam-6216	118	9	by	by	ADP
ejpam-6216	118	10	this	this	DET
ejpam-6216	118	11	kind	kind	NOUN
ejpam-6216	118	12	of	of	ADP
ejpam-6216	118	13	bipolar	bipolar	ADJ
ejpam-6216	118	14	uncertainty	uncertainty	NOUN
ejpam-6216	118	15	,	,	PUNCT
ejpam-6216	118	16	and	and	CCONJ
ejpam-6216	118	17	the	the	DET
ejpam-6216	118	18	lack	lack	NOUN
ejpam-6216	118	19	of	of	ADP
ejpam-6216	118	20	a	a	DET
ejpam-6216	118	21	suitable	suitable	ADJ
ejpam-6216	118	22	model	model	NOUN
ejpam-6216	118	23	hinders	hinder	VERB
ejpam-6216	118	24	our	our	PRON
ejpam-6216	118	25	ability	ability	NOUN
ejpam-6216	118	26	to	to	PART
ejpam-6216	118	27	analyze	analyze	VERB
ejpam-6216	118	28	these	these	DET
ejpam-6216	118	29	problems	problem	NOUN
ejpam-6216	118	30	comprehensively	comprehensively	ADV
ejpam-6216	118	31	.	.	PUNCT
ejpam-6216	119	1	therefore	therefore	ADV
ejpam-6216	119	2	,	,	PUNCT
ejpam-6216	119	3	the	the	DET
ejpam-6216	119	4	primary	primary	ADJ
ejpam-6216	119	5	objective	objective	NOUN
ejpam-6216	119	6	of	of	ADP
ejpam-6216	119	7	this	this	DET
ejpam-6216	119	8	paper	paper	NOUN
ejpam-6216	119	9	is	be	AUX
ejpam-6216	119	10	to	to	PART
ejpam-6216	119	11	introduce	introduce	VERB
ejpam-6216	119	12	and	and	CCONJ
ejpam-6216	119	13	formalize	formalize	VERB
ejpam-6216	119	14	the	the	DET
ejpam-6216	119	15	concept	concept	NOUN
ejpam-6216	119	16	of	of	ADP
ejpam-6216	119	17	the	the	DET
ejpam-6216	119	18	bipolar	bipolar	ADJ
ejpam-6216	119	19	fuzzy	fuzzy	ADJ
ejpam-6216	119	20	rough	rough	ADJ
ejpam-6216	119	21	digraph	digraph	NOUN
ejpam-6216	119	22	(	(	PUNCT
ejpam-6216	119	23	bfrd	bfrd	NOUN
ejpam-6216	119	24	)	)	PUNCT
ejpam-6216	119	25	to	to	PART
ejpam-6216	119	26	address	address	VERB
ejpam-6216	119	27	this	this	DET
ejpam-6216	119	28	need	need	NOUN
ejpam-6216	119	29	.	.	PUNCT
ejpam-6216	120	1	the	the	DET
ejpam-6216	120	2	novelty	novelty	NOUN
ejpam-6216	120	3	of	of	ADP
ejpam-6216	120	4	our	our	PRON
ejpam-6216	120	5	research	research	NOUN
ejpam-6216	120	6	is	be	AUX
ejpam-6216	120	7	:	:	PUNCT
ejpam-6216	120	8	•	•	ADP
ejpam-6216	120	9	to	to	PART
ejpam-6216	120	10	develop	develop	VERB
ejpam-6216	120	11	the	the	DET
ejpam-6216	120	12	notions	notion	NOUN
ejpam-6216	120	13	of	of	ADP
ejpam-6216	120	14	the	the	DET
ejpam-6216	120	15	strength	strength	NOUN
ejpam-6216	120	16	of	of	ADP
ejpam-6216	120	17	a	a	DET
ejpam-6216	120	18	path	path	NOUN
ejpam-6216	120	19	,	,	PUNCT
ejpam-6216	120	20	strength	strength	NOUN
ejpam-6216	120	21	of	of	ADP
ejpam-6216	120	22	connectedness	connectedness	NOUN
ejpam-6216	120	23	,	,	PUNCT
ejpam-6216	120	24	and	and	CCONJ
ejpam-6216	120	25	domination	domination	NOUN
ejpam-6216	120	26	in	in	ADP
ejpam-6216	120	27	bfrds	bfrd	NOUN
ejpam-6216	120	28	.	.	PUNCT
ejpam-6216	121	1	•	•	ADP
ejpam-6216	121	2	to	to	PART
ejpam-6216	121	3	develop	develop	VERB
ejpam-6216	121	4	an	an	DET
ejpam-6216	121	5	effective	effective	ADJ
ejpam-6216	121	6	domination	domination	NOUN
ejpam-6216	121	7	model	model	NOUN
ejpam-6216	121	8	based	base	VERB
ejpam-6216	121	9	on	on	ADP
ejpam-6216	121	10	brfds	brfds	NOUN
ejpam-6216	121	11	.	.	PUNCT
ejpam-6216	122	1	•	•	INTJ
ejpam-6216	122	2	to	to	PART
ejpam-6216	122	3	study	study	VERB
ejpam-6216	122	4	a	a	DET
ejpam-6216	122	5	type	type	NOUN
ejpam-6216	122	6	of	of	ADP
ejpam-6216	122	7	bfrds	bfrd	NOUN
ejpam-6216	122	8	known	know	VERB
ejpam-6216	122	9	as	as	ADP
ejpam-6216	122	10	regular	regular	ADJ
ejpam-6216	122	11	bipolar	bipolar	ADJ
ejpam-6216	122	12	fuzzy	fuzzy	ADJ
ejpam-6216	122	13	rough	rough	ADJ
ejpam-6216	122	14	digraphs	digraph	NOUN
ejpam-6216	122	15	.	.	PUNCT
ejpam-6216	123	1	•	•	ADP
ejpam-6216	123	2	to	to	PART
ejpam-6216	123	3	develop	develop	VERB
ejpam-6216	123	4	a	a	DET
ejpam-6216	123	5	proposed	propose	VERB
ejpam-6216	123	6	algorithm	algorithm	NOUN
ejpam-6216	123	7	and	and	CCONJ
ejpam-6216	123	8	apply	apply	VERB
ejpam-6216	123	9	it	it	PRON
ejpam-6216	123	10	to	to	ADP
ejpam-6216	123	11	practical	practical	ADJ
ejpam-6216	123	12	decision	decision	NOUN
ejpam-6216	123	13	-	-	PUNCT
ejpam-6216	123	14	making	make	VERB
ejpam-6216	123	15	problems	problem	NOUN
ejpam-6216	123	16	.	.	PUNCT
ejpam-6216	124	1	a.	a.	PROPN
ejpam-6216	124	2	arif	arif	PROPN
ejpam-6216	124	3	et	et	PROPN
ejpam-6216	124	4	al	al	PROPN
ejpam-6216	124	5	.	.	PUNCT
ejpam-6216	124	6	/	/	SYM
ejpam-6216	124	7	eur	eur	PROPN
ejpam-6216	124	8	.	.	PUNCT
ejpam-6216	125	1	j.	j.	PROPN
ejpam-6216	125	2	pure	pure	PROPN
ejpam-6216	125	3	appl	appl	PROPN
ejpam-6216	125	4	.	.	PROPN
ejpam-6216	125	5	math	math	PROPN
ejpam-6216	125	6	,	,	PUNCT
ejpam-6216	125	7	18	18	NUM
ejpam-6216	125	8	(	(	PUNCT
ejpam-6216	125	9	4	4	NUM
ejpam-6216	125	10	)	)	PUNCT
ejpam-6216	125	11	(	(	PUNCT
ejpam-6216	125	12	2025	2025	NUM
ejpam-6216	125	13	)	)	PUNCT
ejpam-6216	125	14	,	,	PUNCT
ejpam-6216	125	15	6216	6216	NUM
ejpam-6216	125	16	5	5	NUM
ejpam-6216	125	17	of	of	ADP
ejpam-6216	125	18	36	36	NUM
ejpam-6216	125	19	the	the	DET
ejpam-6216	125	20	flowchart	flowchart	NOUN
ejpam-6216	125	21	of	of	ADP
ejpam-6216	125	22	domination	domination	NOUN
ejpam-6216	125	23	in	in	ADP
ejpam-6216	125	24	digraphs	digraph	NOUN
ejpam-6216	125	25	and	and	CCONJ
ejpam-6216	125	26	its	its	PRON
ejpam-6216	125	27	extension	extension	NOUN
ejpam-6216	125	28	to	to	ADP
ejpam-6216	125	29	the	the	DET
ejpam-6216	125	30	domination	domination	NOUN
ejpam-6216	125	31	in	in	ADP
ejpam-6216	125	32	the	the	DET
ejpam-6216	125	33	bipolar	bipolar	ADJ
ejpam-6216	125	34	fuzzy	fuzzy	ADJ
ejpam-6216	125	35	rough	rough	ADJ
ejpam-6216	125	36	digraph	digraph	NOUN
ejpam-6216	125	37	is	be	AUX
ejpam-6216	125	38	given	give	VERB
ejpam-6216	125	39	in	in	ADP
ejpam-6216	125	40	figure	figure	NOUN
ejpam-6216	125	41	a.	a.	NOUN
ejpam-6216	125	42	domination	domination	NOUN
ejpam-6216	125	43	in	in	ADP
ejpam-6216	125	44	digraphs	digraphs	ADJ
ejpam-6216	125	45	domination	domination	NOUN
ejpam-6216	125	46	in	in	ADP
ejpam-6216	125	47	fuzzy	fuzzy	ADJ
ejpam-6216	125	48	digraphs	digraphs	ADJ
ejpam-6216	125	49	domination	domination	NOUN
ejpam-6216	125	50	in	in	ADP
ejpam-6216	125	51	bipolar	bipolar	ADJ
ejpam-6216	125	52	fuzzy	fuzzy	ADJ
ejpam-6216	125	53	digraphs	digraphs	ADJ
ejpam-6216	125	54	domination	domination	NOUN
ejpam-6216	125	55	in	in	ADP
ejpam-6216	125	56	fuzzy	fuzzy	ADJ
ejpam-6216	125	57	rough	rough	ADJ
ejpam-6216	125	58	digraphs	digraphs	ADJ
ejpam-6216	125	59	domination	domination	NOUN
ejpam-6216	125	60	in	in	ADP
ejpam-6216	125	61	bipolar	bipolar	ADJ
ejpam-6216	125	62	fuzzy	fuzzy	ADJ
ejpam-6216	125	63	rough	rough	ADJ
ejpam-6216	125	64	digraphs	digraphs	NOUN
ejpam-6216	125	65	figure	figure	NOUN
ejpam-6216	125	66	a	a	DET
ejpam-6216	125	67	:	:	PUNCT
ejpam-6216	125	68	flowchart	flowchart	NOUN
ejpam-6216	125	69	of	of	ADP
ejpam-6216	125	70	domination	domination	NOUN
ejpam-6216	125	71	in	in	ADP
ejpam-6216	125	72	digraphs	digraph	NOUN
ejpam-6216	125	73	and	and	CCONJ
ejpam-6216	125	74	its	its	PRON
ejpam-6216	125	75	types	type	NOUN
ejpam-6216	125	76	the	the	DET
ejpam-6216	125	77	list	list	NOUN
ejpam-6216	125	78	of	of	ADP
ejpam-6216	125	79	abbreviations	abbreviation	NOUN
ejpam-6216	125	80	used	use	VERB
ejpam-6216	125	81	in	in	ADP
ejpam-6216	125	82	this	this	DET
ejpam-6216	125	83	paper	paper	NOUN
ejpam-6216	125	84	is	be	AUX
ejpam-6216	125	85	listed	list	VERB
ejpam-6216	125	86	in	in	ADP
ejpam-6216	125	87	table	table	NOUN
ejpam-6216	125	88	1	1	NUM
ejpam-6216	125	89	:	:	PUNCT
ejpam-6216	125	90	abbreviations	abbreviation	NOUN
ejpam-6216	125	91	name	name	VERB
ejpam-6216	125	92	rs	rs	NOUN
ejpam-6216	125	93	rough	rough	ADJ
ejpam-6216	125	94	set	set	NOUN
ejpam-6216	125	95	bfrd	bfrd	VERB
ejpam-6216	125	96	bipolar	bipolar	ADJ
ejpam-6216	125	97	fuzzy	fuzzy	ADJ
ejpam-6216	125	98	rough	rough	ADJ
ejpam-6216	125	99	digraph	digraph	ADJ
ejpam-6216	125	100	frd	frd	ADJ
ejpam-6216	125	101	fuzzy	fuzzy	ADJ
ejpam-6216	125	102	rough	rough	ADJ
ejpam-6216	125	103	digraph	digraph	NOUN
ejpam-6216	125	104	fs	fs	ADP
ejpam-6216	125	105	fuzzy	fuzzy	ADJ
ejpam-6216	125	106	set	set	VERB
ejpam-6216	125	107	bfs	bfs	NOUN
ejpam-6216	125	108	bipolar	bipolar	ADJ
ejpam-6216	125	109	fuzzy	fuzzy	ADJ
ejpam-6216	125	110	set	set	VERB
ejpam-6216	125	111	frs	frs	ADJ
ejpam-6216	125	112	fuzzy	fuzzy	ADJ
ejpam-6216	125	113	rough	rough	ADJ
ejpam-6216	125	114	set	set	NOUN
ejpam-6216	125	115	bfrs	bfr	VERB
ejpam-6216	125	116	bipolar	bipolar	ADJ
ejpam-6216	125	117	fuzzy	fuzzy	ADJ
ejpam-6216	125	118	rough	rough	ADJ
ejpam-6216	125	119	set	set	VERB
ejpam-6216	125	120	bftr	bftr	ADJ
ejpam-6216	125	121	bipolar	bipolar	ADJ
ejpam-6216	125	122	fuzzy	fuzzy	ADJ
ejpam-6216	125	123	tolerance	tolerance	NOUN
ejpam-6216	125	124	relation	relation	NOUN
ejpam-6216	125	125	ds	ds	ADJ
ejpam-6216	125	126	dominating	dominating	NOUN
ejpam-6216	125	127	set	set	NOUN
ejpam-6216	125	128	mds	mds	PROPN
ejpam-6216	125	129	minimum	minimum	NOUN
ejpam-6216	125	130	dominating	dominating	NOUN
ejpam-6216	125	131	set	set	NOUN
ejpam-6216	125	132	table	table	NOUN
ejpam-6216	125	133	1	1	NUM
ejpam-6216	125	134	:	:	PUNCT
ejpam-6216	125	135	list	list	NOUN
ejpam-6216	125	136	of	of	ADP
ejpam-6216	125	137	abbreviations	abbreviation	NOUN
ejpam-6216	125	138	the	the	DET
ejpam-6216	125	139	paper	paper	NOUN
ejpam-6216	125	140	is	be	AUX
ejpam-6216	125	141	organized	organize	VERB
ejpam-6216	125	142	as	as	SCONJ
ejpam-6216	125	143	follows	follow	VERB
ejpam-6216	125	144	.	.	PUNCT
ejpam-6216	126	1	section	section	NOUN
ejpam-6216	126	2	2	2	NUM
ejpam-6216	126	3	includes	include	VERB
ejpam-6216	126	4	the	the	DET
ejpam-6216	126	5	crucial	crucial	ADJ
ejpam-6216	126	6	bfrd	bfrd	ADJ
ejpam-6216	126	7	preliminary	preliminary	ADJ
ejpam-6216	126	8	information	information	NOUN
ejpam-6216	126	9	.	.	PUNCT
ejpam-6216	127	1	section	section	NOUN
ejpam-6216	127	2	3	3	NUM
ejpam-6216	127	3	presents	present	VERB
ejpam-6216	127	4	findings	finding	NOUN
ejpam-6216	127	5	about	about	ADP
ejpam-6216	127	6	domination	domination	NOUN
ejpam-6216	127	7	in	in	ADP
ejpam-6216	127	8	bfrds	bfrd	NOUN
ejpam-6216	127	9	along	along	ADP
ejpam-6216	127	10	with	with	ADP
ejpam-6216	127	11	examples	example	NOUN
ejpam-6216	127	12	,	,	PUNCT
ejpam-6216	127	13	a.	a.	PROPN
ejpam-6216	127	14	arif	arif	PROPN
ejpam-6216	127	15	et	et	PROPN
ejpam-6216	127	16	al	al	PROPN
ejpam-6216	127	17	.	.	PUNCT
ejpam-6216	127	18	/	/	SYM
ejpam-6216	127	19	eur	eur	PROPN
ejpam-6216	127	20	.	.	PUNCT
ejpam-6216	128	1	j.	j.	PROPN
ejpam-6216	128	2	pure	pure	PROPN
ejpam-6216	128	3	appl	appl	PROPN
ejpam-6216	128	4	.	.	PROPN
ejpam-6216	128	5	math	math	PROPN
ejpam-6216	128	6	,	,	PUNCT
ejpam-6216	128	7	18	18	NUM
ejpam-6216	128	8	(	(	PUNCT
ejpam-6216	128	9	4	4	NUM
ejpam-6216	128	10	)	)	PUNCT
ejpam-6216	128	11	(	(	PUNCT
ejpam-6216	128	12	2025	2025	NUM
ejpam-6216	128	13	)	)	PUNCT
ejpam-6216	128	14	,	,	PUNCT
ejpam-6216	128	15	6216	6216	NUM
ejpam-6216	128	16	6	6	NUM
ejpam-6216	128	17	of	of	ADP
ejpam-6216	128	18	36	36	NUM
ejpam-6216	128	19	theorems	theorem	NOUN
ejpam-6216	128	20	,	,	PUNCT
ejpam-6216	128	21	and	and	CCONJ
ejpam-6216	128	22	some	some	DET
ejpam-6216	128	23	types	type	NOUN
ejpam-6216	128	24	of	of	ADP
ejpam-6216	128	25	bfrds	bfrd	NOUN
ejpam-6216	128	26	,	,	PUNCT
ejpam-6216	128	27	including	include	VERB
ejpam-6216	128	28	regular	regular	ADJ
ejpam-6216	128	29	bipolar	bipolar	ADJ
ejpam-6216	128	30	fuzzy	fuzzy	ADJ
ejpam-6216	128	31	rough	rough	ADJ
ejpam-6216	128	32	digraphs	digraph	NOUN
ejpam-6216	128	33	and	and	CCONJ
ejpam-6216	128	34	totally	totally	ADV
ejpam-6216	128	35	regular	regular	ADJ
ejpam-6216	128	36	bipolar	bipolar	ADJ
ejpam-6216	128	37	fuzzy	fuzzy	ADJ
ejpam-6216	128	38	rough	rough	ADJ
ejpam-6216	128	39	digraphs	digraph	NOUN
ejpam-6216	128	40	.	.	PUNCT
ejpam-6216	129	1	section	section	NOUN
ejpam-6216	129	2	4	4	NUM
ejpam-6216	129	3	presents	present	VERB
ejpam-6216	129	4	an	an	DET
ejpam-6216	129	5	algorithm	algorithm	NOUN
ejpam-6216	129	6	and	and	CCONJ
ejpam-6216	129	7	practical	practical	ADJ
ejpam-6216	129	8	uses	use	NOUN
ejpam-6216	129	9	of	of	ADP
ejpam-6216	129	10	domination	domination	NOUN
ejpam-6216	129	11	in	in	ADP
ejpam-6216	129	12	bfrds	bfrd	NOUN
ejpam-6216	129	13	for	for	ADP
ejpam-6216	129	14	decision	decision	NOUN
ejpam-6216	129	15	-	-	PUNCT
ejpam-6216	129	16	making	making	NOUN
ejpam-6216	129	17	.	.	PUNCT
ejpam-6216	130	1	section	section	NOUN
ejpam-6216	130	2	5	5	NUM
ejpam-6216	130	3	presents	present	VERB
ejpam-6216	130	4	a	a	DET
ejpam-6216	130	5	succinct	succinct	ADJ
ejpam-6216	130	6	summary	summary	NOUN
ejpam-6216	130	7	of	of	ADP
ejpam-6216	130	8	the	the	DET
ejpam-6216	130	9	paper	paper	NOUN
ejpam-6216	130	10	.	.	PUNCT
ejpam-6216	131	1	2	2	X
ejpam-6216	131	2	.	.	X
ejpam-6216	131	3	preliminaries	preliminary	NOUN
ejpam-6216	131	4	in	in	ADP
ejpam-6216	131	5	this	this	DET
ejpam-6216	131	6	section	section	NOUN
ejpam-6216	131	7	,	,	PUNCT
ejpam-6216	131	8	we	we	PRON
ejpam-6216	131	9	will	will	AUX
ejpam-6216	131	10	cover	cover	VERB
ejpam-6216	131	11	the	the	DET
ejpam-6216	131	12	foundations	foundation	NOUN
ejpam-6216	131	13	of	of	ADP
ejpam-6216	131	14	domination	domination	NOUN
ejpam-6216	131	15	in	in	ADP
ejpam-6216	131	16	fuzzy	fuzzy	ADJ
ejpam-6216	131	17	graphs	graph	NOUN
ejpam-6216	131	18	to	to	PART
ejpam-6216	131	19	establish	establish	VERB
ejpam-6216	131	20	the	the	DET
ejpam-6216	131	21	concept	concept	NOUN
ejpam-6216	131	22	of	of	ADP
ejpam-6216	131	23	domination	domination	NOUN
ejpam-6216	131	24	in	in	ADP
ejpam-6216	131	25	bipolar	bipolar	ADJ
ejpam-6216	131	26	fuzzy	fuzzy	ADJ
ejpam-6216	131	27	rough	rough	ADJ
ejpam-6216	131	28	digraphs	digraph	NOUN
ejpam-6216	131	29	.	.	PUNCT
ejpam-6216	132	1	definition	definition	NOUN
ejpam-6216	132	2	1.[39	1.[39	NUM
ejpam-6216	132	3	]	]	PUNCT
ejpam-6216	132	4	consider	consider	VERB
ejpam-6216	132	5	a	a	DET
ejpam-6216	132	6	fuzzy	fuzzy	ADJ
ejpam-6216	132	7	equivalence	equivalence	NOUN
ejpam-6216	132	8	relation	relation	NOUN
ejpam-6216	132	9	j	j	PROPN
ejpam-6216	132	10	on	on	ADP
ejpam-6216	132	11	the	the	DET
ejpam-6216	132	12	universal	universal	ADJ
ejpam-6216	132	13	set	set	NOUN
ejpam-6216	132	14	x	x	PUNCT
ejpam-6216	132	15	and	and	CCONJ
ejpam-6216	132	16	let	let	VERB
ejpam-6216	132	17	o	o	NOUN
ejpam-6216	132	18	be	be	AUX
ejpam-6216	132	19	a	a	DET
ejpam-6216	132	20	fs	fs	NOUN
ejpam-6216	132	21	on	on	ADP
ejpam-6216	132	22	x	x	NOUN
ejpam-6216	132	23	,	,	PUNCT
ejpam-6216	132	24	then	then	ADV
ejpam-6216	132	25	the	the	DET
ejpam-6216	132	26	lower	low	ADJ
ejpam-6216	132	27	approximation	approximation	NOUN
ejpam-6216	132	28	jo	jo	NOUN
ejpam-6216	132	29	and	and	CCONJ
ejpam-6216	132	30	the	the	DET
ejpam-6216	132	31	upper	upper	ADJ
ejpam-6216	132	32	approximation	approximation	NOUN
ejpam-6216	132	33	jo	jo	PROPN
ejpam-6216	132	34	are	be	AUX
ejpam-6216	132	35	given	give	VERB
ejpam-6216	132	36	by	by	ADP
ejpam-6216	132	37	:	:	PUNCT
ejpam-6216	132	38	{	{	PUNCT
ejpam-6216	132	39	jo	jo	PROPN
ejpam-6216	132	40	=	=	PUNCT
ejpam-6216	132	41	∧[(1−	∧[(1−	ADJ
ejpam-6216	132	42	j(α	j(α	PROPN
ejpam-6216	132	43	,	,	PUNCT
ejpam-6216	132	44	β	β	NOUN
ejpam-6216	132	45	)	)	PUNCT
ejpam-6216	132	46	)	)	PUNCT
ejpam-6216	132	47	∨o(β	∨o(β	NOUN
ejpam-6216	132	48	)	)	PUNCT
ejpam-6216	132	49	]	]	PUNCT
ejpam-6216	133	1	jo	jo	NOUN
ejpam-6216	133	2	=	=	SYM
ejpam-6216	133	3	∨[j(α	∨[j(α	PROPN
ejpam-6216	133	4	,	,	PUNCT
ejpam-6216	133	5	β	β	NOUN
ejpam-6216	133	6	)	)	PUNCT
ejpam-6216	133	7	∧o(β	∧o(β	NOUN
ejpam-6216	133	8	)	)	PUNCT
ejpam-6216	133	9	]	]	PUNCT
ejpam-6216	133	10	,	,	PUNCT
ejpam-6216	133	11	∀α	∀α	VERB
ejpam-6216	133	12	∈	∈	PROPN
ejpam-6216	133	13	x	x	PUNCT
ejpam-6216	133	14	such	such	ADJ
ejpam-6216	133	15	that	that	PRON
ejpam-6216	133	16	jo	jo	PROPN
ejpam-6216	133	17	−	−	PROPN
ejpam-6216	133	18	jo	jo	PROPN
ejpam-6216	133	19	̸=	̸=	PROPN
ejpam-6216	133	20	∅	∅	NOUN
ejpam-6216	133	21	then	then	ADV
ejpam-6216	133	22	the	the	DET
ejpam-6216	133	23	ordered	ordered	ADJ
ejpam-6216	133	24	pair	pair	NOUN
ejpam-6216	133	25	(	(	PUNCT
ejpam-6216	133	26	jo	jo	PROPN
ejpam-6216	133	27	,	,	PUNCT
ejpam-6216	133	28	jo	jo	PROPN
ejpam-6216	133	29	)	)	PUNCT
ejpam-6216	133	30	is	be	AUX
ejpam-6216	133	31	called	call	VERB
ejpam-6216	133	32	the	the	DET
ejpam-6216	133	33	frs	frs	PROPN
ejpam-6216	133	34	.	.	PUNCT
ejpam-6216	134	1	definition	definition	NOUN
ejpam-6216	134	2	2.[58	2.[58	NUM
ejpam-6216	134	3	]	]	PUNCT
ejpam-6216	134	4	consider	consider	VERB
ejpam-6216	134	5	a	a	DET
ejpam-6216	134	6	fuzzy	fuzzy	ADJ
ejpam-6216	134	7	tolerance	tolerance	NOUN
ejpam-6216	134	8	relation	relation	NOUN
ejpam-6216	134	9	j	j	PROPN
ejpam-6216	134	10	on	on	ADP
ejpam-6216	134	11	the	the	DET
ejpam-6216	134	12	universal	universal	ADJ
ejpam-6216	134	13	set	set	NOUN
ejpam-6216	134	14	x	x	NOUN
ejpam-6216	134	15	,	,	PUNCT
ejpam-6216	134	16	b	b	PROPN
ejpam-6216	134	17	be	be	AUX
ejpam-6216	134	18	a	a	DET
ejpam-6216	134	19	fuzzy	fuzzy	ADJ
ejpam-6216	134	20	tolerance	tolerance	NOUN
ejpam-6216	134	21	relation	relation	NOUN
ejpam-6216	134	22	on	on	ADP
ejpam-6216	134	23	a∗	a∗	PROPN
ejpam-6216	134	24	⊆	⊆	NUM
ejpam-6216	134	25	x	x	SYM
ejpam-6216	134	26	×x	×x	PROPN
ejpam-6216	134	27	,	,	PUNCT
ejpam-6216	134	28	o	o	VERB
ejpam-6216	134	29	be	be	AUX
ejpam-6216	134	30	a	a	DET
ejpam-6216	134	31	fs	fs	NOUN
ejpam-6216	134	32	on	on	ADP
ejpam-6216	134	33	x	x	PROPN
ejpam-6216	134	34	,	,	PUNCT
ejpam-6216	134	35	jo	jo	PROPN
ejpam-6216	134	36	=	=	SYM
ejpam-6216	134	37	(	(	PUNCT
ejpam-6216	134	38	jo	jo	PROPN
ejpam-6216	134	39	,	,	PUNCT
ejpam-6216	134	40	jo	jo	PROPN
ejpam-6216	134	41	)	)	PUNCT
ejpam-6216	134	42	be	be	AUX
ejpam-6216	134	43	a	a	DET
ejpam-6216	134	44	frs	frs	NOUN
ejpam-6216	134	45	on	on	ADP
ejpam-6216	134	46	x	x	NOUN
ejpam-6216	134	47	,	,	PUNCT
ejpam-6216	134	48	and	and	CCONJ
ejpam-6216	134	49	v	v	AUX
ejpam-6216	134	50	be	be	AUX
ejpam-6216	134	51	a	a	DET
ejpam-6216	134	52	fs	fs	NOUN
ejpam-6216	134	53	on	on	ADP
ejpam-6216	134	54	a∗	a∗	NOUN
ejpam-6216	134	55	such	such	ADJ
ejpam-6216	134	56	that	that	PRON
ejpam-6216	134	57	:	:	PUNCT
ejpam-6216	134	58	{	{	PUNCT
ejpam-6216	134	59	b(α1α2	b(α1α2	ADV
ejpam-6216	134	60	,	,	PUNCT
ejpam-6216	134	61	β1β2	β1β2	NOUN
ejpam-6216	134	62	)	)	PUNCT
ejpam-6216	134	63	≤	≤	NOUN
ejpam-6216	134	64	j(α1β1	j(α1β1	PROPN
ejpam-6216	134	65	)	)	PUNCT
ejpam-6216	134	66	∧	∧	PROPN
ejpam-6216	134	67	j(α2β2	j(α2β2	PROPN
ejpam-6216	134	68	)	)	PUNCT
ejpam-6216	134	69	,	,	PUNCT
ejpam-6216	134	70	∀	∀	PUNCT
ejpam-6216	135	1	α1α2	α1α2	X
ejpam-6216	135	2	,	,	PUNCT
ejpam-6216	135	3	β1β2	β1β2	X
ejpam-6216	135	4	∈	∈	PROPN
ejpam-6216	135	5	a∗	a∗	PROPN
ejpam-6216	135	6	v	v	NOUN
ejpam-6216	135	7	(	(	PUNCT
ejpam-6216	135	8	αβ	αβ	INTJ
ejpam-6216	135	9	)	)	PUNCT
ejpam-6216	135	10	≤	≤	NOUN
ejpam-6216	135	11	(	(	PUNCT
ejpam-6216	135	12	jo)(α	jo)(α	PROPN
ejpam-6216	135	13	)	)	PUNCT
ejpam-6216	135	14	∧	∧	PROPN
ejpam-6216	135	15	(	(	PUNCT
ejpam-6216	135	16	jo)(β	jo)(β	PROPN
ejpam-6216	135	17	)	)	PUNCT
ejpam-6216	135	18	,	,	PUNCT
ejpam-6216	135	19	∀αβ	∀αβ	PROPN
ejpam-6216	135	20	∈	∈	PROPN
ejpam-6216	135	21	a∗	a∗	PROPN
ejpam-6216	135	22	then	then	ADV
ejpam-6216	135	23	the	the	DET
ejpam-6216	135	24	lower	low	ADJ
ejpam-6216	135	25	approximation	approximation	NOUN
ejpam-6216	135	26	bv	bv	PROPN
ejpam-6216	135	27	and	and	CCONJ
ejpam-6216	135	28	the	the	DET
ejpam-6216	135	29	upper	upper	ADJ
ejpam-6216	135	30	approximation	approximation	NOUN
ejpam-6216	135	31	bv	bv	PROPN
ejpam-6216	135	32	are	be	AUX
ejpam-6216	135	33	given	give	VERB
ejpam-6216	135	34	by	by	ADP
ejpam-6216	135	35	:	:	PUNCT
ejpam-6216	135	36	{	{	PUNCT
ejpam-6216	135	37	(	(	PUNCT
ejpam-6216	135	38	bv	bv	PROPN
ejpam-6216	135	39	)	)	PUNCT
ejpam-6216	135	40	(	(	PUNCT
ejpam-6216	135	41	αβ	αβ	INTJ
ejpam-6216	135	42	)	)	PUNCT
ejpam-6216	135	43	=	=	SYM
ejpam-6216	135	44	∧[(1−b(α1β1	∧[(1−b(α1β1	NOUN
ejpam-6216	135	45	,	,	PUNCT
ejpam-6216	135	46	α2β2	α2β2	NOUN
ejpam-6216	135	47	)	)	PUNCT
ejpam-6216	135	48	)	)	PUNCT
ejpam-6216	135	49	∨	∨	NUM
ejpam-6216	135	50	v	v	NOUN
ejpam-6216	135	51	(	(	PUNCT
ejpam-6216	135	52	α2β2	α2β2	NOUN
ejpam-6216	135	53	)	)	PUNCT
ejpam-6216	135	54	]	]	PUNCT
ejpam-6216	135	55	(	(	PUNCT
ejpam-6216	135	56	bv	bv	PROPN
ejpam-6216	135	57	)	)	PUNCT
ejpam-6216	135	58	(	(	PUNCT
ejpam-6216	135	59	αβ	αβ	INTJ
ejpam-6216	135	60	)	)	PUNCT
ejpam-6216	135	61	=	=	SYM
ejpam-6216	135	62	∨[b(α1β1	∨[b(α1β1	PROPN
ejpam-6216	135	63	,	,	PUNCT
ejpam-6216	135	64	α2β2	α2β2	NOUN
ejpam-6216	135	65	)	)	PUNCT
ejpam-6216	135	66	∧	∧	PROPN
ejpam-6216	135	67	v	v	NOUN
ejpam-6216	135	68	(	(	PUNCT
ejpam-6216	135	69	α2β2	α2β2	NOUN
ejpam-6216	135	70	)	)	PUNCT
ejpam-6216	135	71	]	]	PUNCT
ejpam-6216	135	72	,	,	PUNCT
ejpam-6216	135	73	∀α1β1	∀α1β1	PROPN
ejpam-6216	135	74	∈	∈	PROPN
ejpam-6216	135	75	a∗	a∗	NOUN
ejpam-6216	135	76	the	the	DET
ejpam-6216	135	77	pair	pair	NOUN
ejpam-6216	135	78	bv	bv	PROPN
ejpam-6216	135	79	=	=	SYM
ejpam-6216	135	80	(	(	PUNCT
ejpam-6216	135	81	bv	bv	PROPN
ejpam-6216	135	82	,	,	PUNCT
ejpam-6216	135	83	bv	bv	PROPN
ejpam-6216	135	84	)	)	PUNCT
ejpam-6216	135	85	is	be	AUX
ejpam-6216	135	86	a	a	DET
ejpam-6216	135	87	fuzzy	fuzzy	ADJ
ejpam-6216	135	88	rough	rough	ADJ
ejpam-6216	135	89	relation	relation	NOUN
ejpam-6216	135	90	on	on	ADP
ejpam-6216	135	91	x.	x.	NOUN
ejpam-6216	135	92	definition	definition	NOUN
ejpam-6216	135	93	3	3	NUM
ejpam-6216	135	94	.	.	PUNCT
ejpam-6216	136	1	[	[	X
ejpam-6216	136	2	58	58	NUM
ejpam-6216	136	3	]	]	PUNCT
ejpam-6216	136	4	consider	consider	VERB
ejpam-6216	136	5	a	a	DET
ejpam-6216	136	6	fuzzy	fuzzy	ADJ
ejpam-6216	136	7	tolerance	tolerance	NOUN
ejpam-6216	136	8	relation	relation	NOUN
ejpam-6216	136	9	j	j	PROPN
ejpam-6216	136	10	on	on	ADP
ejpam-6216	136	11	the	the	DET
ejpam-6216	136	12	universal	universal	ADJ
ejpam-6216	136	13	set	set	NOUN
ejpam-6216	136	14	x	x	NOUN
ejpam-6216	136	15	,	,	PUNCT
ejpam-6216	136	16	b	b	PROPN
ejpam-6216	136	17	be	be	AUX
ejpam-6216	136	18	a	a	DET
ejpam-6216	136	19	fuzzy	fuzzy	ADJ
ejpam-6216	136	20	tolerance	tolerance	NOUN
ejpam-6216	136	21	relation	relation	NOUN
ejpam-6216	136	22	on	on	ADP
ejpam-6216	136	23	a∗	a∗	PROPN
ejpam-6216	136	24	⊆	⊆	NUM
ejpam-6216	136	25	x	x	SYM
ejpam-6216	136	26	×	×	PROPN
ejpam-6216	136	27	x	x	NOUN
ejpam-6216	136	28	,	,	PUNCT
ejpam-6216	136	29	o	o	INTJ
ejpam-6216	136	30	be	be	AUX
ejpam-6216	136	31	a	a	DET
ejpam-6216	136	32	fs	fs	NOUN
ejpam-6216	136	33	on	on	ADP
ejpam-6216	136	34	x	x	PROPN
ejpam-6216	136	35	,	,	PUNCT
ejpam-6216	136	36	jo	jo	PROPN
ejpam-6216	136	37	=	=	SYM
ejpam-6216	136	38	(	(	PUNCT
ejpam-6216	136	39	jo	jo	PROPN
ejpam-6216	136	40	,	,	PUNCT
ejpam-6216	136	41	jo	jo	PROPN
ejpam-6216	136	42	)	)	PUNCT
ejpam-6216	136	43	be	be	AUX
ejpam-6216	136	44	a	a	DET
ejpam-6216	136	45	frs	frs	NOUN
ejpam-6216	136	46	on	on	ADP
ejpam-6216	136	47	x	x	PRON
ejpam-6216	136	48	,	,	PUNCT
ejpam-6216	136	49	and	and	CCONJ
ejpam-6216	136	50	bv	bv	PROPN
ejpam-6216	136	51	=	=	PROPN
ejpam-6216	136	52	(	(	PUNCT
ejpam-6216	136	53	bv	bv	PROPN
ejpam-6216	136	54	,	,	PUNCT
ejpam-6216	136	55	bv	bv	PROPN
ejpam-6216	136	56	)	)	PUNCT
ejpam-6216	136	57	be	be	AUX
ejpam-6216	136	58	a	a	DET
ejpam-6216	136	59	fuzzy	fuzzy	ADJ
ejpam-6216	136	60	rough	rough	ADJ
ejpam-6216	136	61	relation	relation	NOUN
ejpam-6216	136	62	on	on	ADP
ejpam-6216	136	63	x	x	NOUN
ejpam-6216	136	64	,	,	PUNCT
ejpam-6216	136	65	then	then	ADV
ejpam-6216	136	66	the	the	DET
ejpam-6216	136	67	frd	frd	NOUN
ejpam-6216	136	68	is	be	AUX
ejpam-6216	136	69	given	give	VERB
ejpam-6216	136	70	by	by	ADP
ejpam-6216	136	71	:	:	PUNCT
ejpam-6216	136	72	g	g	PROPN
ejpam-6216	136	73	=	=	SYM
ejpam-6216	136	74	(	(	PUNCT
ejpam-6216	136	75	o	o	NOUN
ejpam-6216	136	76	,	,	PUNCT
ejpam-6216	136	77	jo	jo	PROPN
ejpam-6216	136	78	,	,	PUNCT
ejpam-6216	136	79	v	v	PROPN
ejpam-6216	136	80	,	,	PUNCT
ejpam-6216	136	81	bv	bv	PROPN
ejpam-6216	136	82	)	)	PUNCT
ejpam-6216	136	83	where	where	SCONJ
ejpam-6216	136	84	g	g	NOUN
ejpam-6216	136	85	=	=	SYM
ejpam-6216	136	86	(	(	PUNCT
ejpam-6216	136	87	jo	jo	PROPN
ejpam-6216	136	88	,	,	PUNCT
ejpam-6216	136	89	bv	bv	PROPN
ejpam-6216	136	90	)	)	PUNCT
ejpam-6216	136	91	is	be	AUX
ejpam-6216	136	92	the	the	DET
ejpam-6216	136	93	lower	low	ADJ
ejpam-6216	136	94	approximation	approximation	NOUN
ejpam-6216	136	95	of	of	ADP
ejpam-6216	136	96	graph	graph	NOUN
ejpam-6216	136	97	g	g	PROPN
ejpam-6216	136	98	and	and	CCONJ
ejpam-6216	136	99	g	g	NOUN
ejpam-6216	136	100	=	=	SYM
ejpam-6216	136	101	(	(	PUNCT
ejpam-6216	136	102	jo	jo	PROPN
ejpam-6216	136	103	,	,	PUNCT
ejpam-6216	136	104	bv	bv	PROPN
ejpam-6216	136	105	)	)	PUNCT
ejpam-6216	136	106	is	be	AUX
ejpam-6216	136	107	the	the	DET
ejpam-6216	136	108	upper	upper	ADJ
ejpam-6216	136	109	approximation	approximation	NOUN
ejpam-6216	136	110	of	of	ADP
ejpam-6216	136	111	g	g	PROPN
ejpam-6216	136	112	such	such	ADJ
ejpam-6216	136	113	that	that	PRON
ejpam-6216	136	114	:	:	PUNCT
ejpam-6216	136	115	{	{	PUNCT
ejpam-6216	136	116	bv	bv	PROPN
ejpam-6216	136	117	(	(	PUNCT
ejpam-6216	136	118	αβ	αβ	INTJ
ejpam-6216	136	119	)	)	PUNCT
ejpam-6216	136	120	≤	≤	NOUN
ejpam-6216	136	121	∧	∧	PROPN
ejpam-6216	136	122	[	[	X
ejpam-6216	136	123	jo(α	jo(α	NOUN
ejpam-6216	136	124	)	)	PUNCT
ejpam-6216	136	125	,	,	PUNCT
ejpam-6216	136	126	jo(β	jo(β	NUM
ejpam-6216	136	127	)	)	PUNCT
ejpam-6216	136	128	]	]	PUNCT
ejpam-6216	137	1	bv	bv	PROPN
ejpam-6216	137	2	(	(	PUNCT
ejpam-6216	137	3	αβ	αβ	INTJ
ejpam-6216	137	4	)	)	PUNCT
ejpam-6216	137	5	≤	≤	NOUN
ejpam-6216	137	6	∧	∧	PROPN
ejpam-6216	137	7	[	[	X
ejpam-6216	137	8	jo(α	jo(α	NOUN
ejpam-6216	137	9	)	)	PUNCT
ejpam-6216	137	10	,	,	PUNCT
ejpam-6216	137	11	jo(β	jo(β	NUM
ejpam-6216	137	12	)	)	PUNCT
ejpam-6216	137	13	]	]	PUNCT
ejpam-6216	137	14	,	,	PUNCT
ejpam-6216	137	15	∀	∀	PUNCT
ejpam-6216	138	1	αβ	αβ	PRON
ejpam-6216	139	1	∈	∈	NOUN
ejpam-6216	139	2	a∗.	a∗.	NOUN
ejpam-6216	139	3	definition	definition	NOUN
ejpam-6216	139	4	4.[61	4.[61	NUM
ejpam-6216	139	5	]	]	PUNCT
ejpam-6216	139	6	let	let	VERB
ejpam-6216	139	7	o	o	NOUN
ejpam-6216	139	8	=	=	PUNCT
ejpam-6216	139	9	(	(	PUNCT
ejpam-6216	139	10	o	o	NOUN
ejpam-6216	139	11	,	,	PUNCT
ejpam-6216	139	12	o	o	NOUN
ejpam-6216	139	13	)	)	PUNCT
ejpam-6216	139	14	be	be	AUX
ejpam-6216	139	15	a	a	DET
ejpam-6216	139	16	frd	frd	NOUN
ejpam-6216	139	17	on	on	ADP
ejpam-6216	139	18	a	a	DET
ejpam-6216	139	19	universal	universal	ADJ
ejpam-6216	139	20	set	set	NOUN
ejpam-6216	139	21	x	x	PUNCT
ejpam-6216	139	22	then	then	ADV
ejpam-6216	139	23	p	p	X
ejpam-6216	139	24	:	:	PUNCT
ejpam-6216	139	25	τ0	τ0	NOUN
ejpam-6216	139	26	→	→	SYM
ejpam-6216	139	27	a.	a.	PROPN
ejpam-6216	139	28	arif	arif	PROPN
ejpam-6216	139	29	et	et	PROPN
ejpam-6216	139	30	al	al	PROPN
ejpam-6216	139	31	.	.	PUNCT
ejpam-6216	139	32	/	/	SYM
ejpam-6216	139	33	eur	eur	PROPN
ejpam-6216	139	34	.	.	PUNCT
ejpam-6216	140	1	j.	j.	PROPN
ejpam-6216	140	2	pure	pure	PROPN
ejpam-6216	140	3	appl	appl	PROPN
ejpam-6216	140	4	.	.	PROPN
ejpam-6216	140	5	math	math	PROPN
ejpam-6216	140	6	,	,	PUNCT
ejpam-6216	140	7	18	18	NUM
ejpam-6216	140	8	(	(	PUNCT
ejpam-6216	140	9	4	4	NUM
ejpam-6216	140	10	)	)	PUNCT
ejpam-6216	140	11	(	(	PUNCT
ejpam-6216	140	12	2025	2025	NUM
ejpam-6216	140	13	)	)	PUNCT
ejpam-6216	140	14	,	,	PUNCT
ejpam-6216	140	15	6216	6216	NUM
ejpam-6216	140	16	7	7	NUM
ejpam-6216	140	17	of	of	ADP
ejpam-6216	140	18	36	36	NUM
ejpam-6216	140	19	τ1	τ1	NOUN
ejpam-6216	140	20	→	→	SYM
ejpam-6216	140	21	·	·	PUNCT
ejpam-6216	140	22	·	·	PUNCT
ejpam-6216	140	23	·	·	PUNCT
ejpam-6216	141	1	→	→	PUNCT
ejpam-6216	141	2	τn	τn	X
ejpam-6216	141	3	is	be	AUX
ejpam-6216	141	4	a	a	DET
ejpam-6216	141	5	directed	direct	VERB
ejpam-6216	141	6	path	path	NOUN
ejpam-6216	141	7	of	of	ADP
ejpam-6216	141	8	length	length	NOUN
ejpam-6216	141	9	n	n	CCONJ
ejpam-6216	141	10	from	from	ADP
ejpam-6216	141	11	a	a	DET
ejpam-6216	141	12	=	=	NOUN
ejpam-6216	141	13	τ0	τ0	NOUN
ejpam-6216	141	14	to	to	ADP
ejpam-6216	141	15	b	b	NOUN
ejpam-6216	141	16	=	=	PUNCT
ejpam-6216	141	17	τn	τn	NOUN
ejpam-6216	141	18	in	in	ADP
ejpam-6216	141	19	o	o	PROPN
ejpam-6216	141	20	and	and	CCONJ
ejpam-6216	141	21	o	o	X
ejpam-6216	141	22	where	where	SCONJ
ejpam-6216	141	23	µo(τi−1	µo(τi−1	X
ejpam-6216	141	24	,	,	PUNCT
ejpam-6216	141	25	τi	τi	NOUN
ejpam-6216	141	26	)	)	PUNCT
ejpam-6216	141	27	>	>	X
ejpam-6216	141	28	0	0	PUNCT
ejpam-6216	141	29	and	and	CCONJ
ejpam-6216	141	30	µo(τi−1	µo(τi−1	PROPN
ejpam-6216	141	31	,	,	PUNCT
ejpam-6216	141	32	τi	τi	PROPN
ejpam-6216	141	33	)	)	PUNCT
ejpam-6216	141	34	>	>	X
ejpam-6216	141	35	0	0	PUNCT
ejpam-6216	142	1	for	for	ADP
ejpam-6216	142	2	i	i	PRON
ejpam-6216	142	3	=	=	NOUN
ejpam-6216	142	4	1	1	NUM
ejpam-6216	142	5	,	,	PUNCT
ejpam-6216	142	6	2	2	NUM
ejpam-6216	142	7	,	,	PUNCT
ejpam-6216	142	8	..	..	PUNCT
ejpam-6216	142	9	,	,	PUNCT
ejpam-6216	142	10	n	n	CCONJ
ejpam-6216	142	11	then	then	ADV
ejpam-6216	142	12	strength	strength	NOUN
ejpam-6216	142	13	of	of	ADP
ejpam-6216	142	14	the	the	DET
ejpam-6216	142	15	path	path	NOUN
ejpam-6216	142	16	is	be	AUX
ejpam-6216	142	17	defined	define	VERB
ejpam-6216	142	18	as	as	ADP
ejpam-6216	142	19	:	:	PUNCT
ejpam-6216	142	20	[	[	PUNCT
ejpam-6216	142	21	µo(a	µo(a	NUM
ejpam-6216	142	22	,	,	PUNCT
ejpam-6216	142	23	b	b	NOUN
ejpam-6216	142	24	)	)	PUNCT
ejpam-6216	142	25	]	]	PUNCT
ejpam-6216	142	26	n	n	X
ejpam-6216	142	27	=	=	SYM
ejpam-6216	142	28	∧	∧	PROPN
ejpam-6216	143	1	[	[	X
ejpam-6216	143	2	µo(a	µo(a	NUM
ejpam-6216	143	3	,	,	PUNCT
ejpam-6216	143	4	τ1	τ1	NOUN
ejpam-6216	143	5	)	)	PUNCT
ejpam-6216	143	6	,	,	PUNCT
ejpam-6216	143	7	µo(τ1	µo(τ1	NOUN
ejpam-6216	143	8	,	,	PUNCT
ejpam-6216	143	9	τ2	τ2	NOUN
ejpam-6216	143	10	)	)	PUNCT
ejpam-6216	143	11	,	,	PUNCT
ejpam-6216	143	12	.	.	PUNCT
ejpam-6216	143	13	.	.	PUNCT
ejpam-6216	144	1	.	.	PUNCT
ejpam-6216	145	1	,	,	PUNCT
ejpam-6216	145	2	µo(τn−1	µo(τn−1	PROPN
ejpam-6216	145	3	,	,	PUNCT
ejpam-6216	145	4	b	b	NOUN
ejpam-6216	145	5	)	)	PUNCT
ejpam-6216	145	6	]	]	X
ejpam-6216	145	7	[	[	PUNCT
ejpam-6216	145	8	µo(a	µo(a	NUM
ejpam-6216	145	9	,	,	PUNCT
ejpam-6216	145	10	b	b	NOUN
ejpam-6216	145	11	)	)	PUNCT
ejpam-6216	145	12	]	]	PUNCT
ejpam-6216	146	1	n	n	X
ejpam-6216	146	2	=	=	SYM
ejpam-6216	146	3	∧	∧	PROPN
ejpam-6216	147	1	[	[	X
ejpam-6216	147	2	µo(a	µo(a	NUM
ejpam-6216	147	3	,	,	PUNCT
ejpam-6216	147	4	τ1	τ1	NOUN
ejpam-6216	147	5	)	)	PUNCT
ejpam-6216	147	6	,	,	PUNCT
ejpam-6216	147	7	µo(τ1	µo(τ1	NOUN
ejpam-6216	147	8	,	,	PUNCT
ejpam-6216	147	9	τ2	τ2	NOUN
ejpam-6216	147	10	)	)	PUNCT
ejpam-6216	147	11	,	,	PUNCT
ejpam-6216	147	12	.	.	PUNCT
ejpam-6216	147	13	.	.	PUNCT
ejpam-6216	148	1	.	.	PUNCT
ejpam-6216	149	1	,	,	PUNCT
ejpam-6216	149	2	µo(τn−1	µo(τn−1	PROPN
ejpam-6216	149	3	,	,	PUNCT
ejpam-6216	149	4	b	b	NOUN
ejpam-6216	149	5	)	)	PUNCT
ejpam-6216	149	6	]	]	PUNCT
ejpam-6216	150	1	such	such	ADJ
ejpam-6216	150	2	that	that	SCONJ
ejpam-6216	150	3	the	the	DET
ejpam-6216	150	4	strength	strength	NOUN
ejpam-6216	150	5	of	of	ADP
ejpam-6216	150	6	a	a	DET
ejpam-6216	150	7	path	path	NOUN
ejpam-6216	150	8	in	in	ADP
ejpam-6216	150	9	o	o	PROPN
ejpam-6216	150	10	=	=	PUNCT
ejpam-6216	150	11	(	(	PUNCT
ejpam-6216	150	12	o	o	NOUN
ejpam-6216	150	13	,	,	PUNCT
ejpam-6216	150	14	o	o	NOUN
ejpam-6216	150	15	)	)	PUNCT
ejpam-6216	150	16	is	be	AUX
ejpam-6216	150	17	defined	define	VERB
ejpam-6216	150	18	by	by	ADP
ejpam-6216	150	19	:	:	PUNCT
ejpam-6216	151	1	[	[	X
ejpam-6216	151	2	µ(a	µ(a	PROPN
ejpam-6216	151	3	,	,	PUNCT
ejpam-6216	151	4	b)]n	b)]n	NOUN
ejpam-6216	151	5	=	=	SYM
ejpam-6216	151	6	[	[	PUNCT
ejpam-6216	151	7	µo(a	µo(a	NUM
ejpam-6216	151	8	,	,	PUNCT
ejpam-6216	151	9	b	b	NOUN
ejpam-6216	151	10	)	)	PUNCT
ejpam-6216	151	11	]	]	X
ejpam-6216	152	1	n	n	X
ejpam-6216	152	2	+	+	X
ejpam-6216	152	3	[	[	PUNCT
ejpam-6216	152	4	µo(a	µo(a	NUM
ejpam-6216	152	5	,	,	PUNCT
ejpam-6216	152	6	b	b	NOUN
ejpam-6216	152	7	)	)	PUNCT
ejpam-6216	152	8	]	]	PUNCT
ejpam-6216	152	9	n	n	PRON
ejpam-6216	152	10	definition	definition	NOUN
ejpam-6216	152	11	5.[61	5.[61	NUM
ejpam-6216	152	12	]	]	PUNCT
ejpam-6216	152	13	let	let	VERB
ejpam-6216	152	14	o	o	NOUN
ejpam-6216	152	15	=	=	PUNCT
ejpam-6216	152	16	(	(	PUNCT
ejpam-6216	152	17	o	o	NOUN
ejpam-6216	152	18	,	,	PUNCT
ejpam-6216	152	19	o	o	NOUN
ejpam-6216	152	20	)	)	PUNCT
ejpam-6216	152	21	be	be	AUX
ejpam-6216	152	22	a	a	DET
ejpam-6216	152	23	frd	frd	NOUN
ejpam-6216	152	24	on	on	ADP
ejpam-6216	152	25	a	a	DET
ejpam-6216	152	26	universal	universal	ADJ
ejpam-6216	152	27	set	set	NOUN
ejpam-6216	152	28	x	x	NOUN
ejpam-6216	152	29	.	.	PUNCT
ejpam-6216	153	1	the	the	DET
ejpam-6216	153	2	strength	strength	NOUN
ejpam-6216	153	3	of	of	ADP
ejpam-6216	153	4	connectedness	connectedness	NOUN
ejpam-6216	153	5	from	from	ADP
ejpam-6216	153	6	point	point	NOUN
ejpam-6216	153	7	τ0	τ0	NOUN
ejpam-6216	153	8	to	to	PART
ejpam-6216	153	9	τ1	τ1	VERB
ejpam-6216	153	10	in	in	ADP
ejpam-6216	153	11	o	o	PROPN
ejpam-6216	153	12	and	and	CCONJ
ejpam-6216	153	13	o	o	NOUN
ejpam-6216	153	14	is	be	AUX
ejpam-6216	153	15	defined	define	VERB
ejpam-6216	153	16	by	by	ADP
ejpam-6216	153	17	:	:	PUNCT
ejpam-6216	153	18	conno(τ0	conno(τ0	NOUN
ejpam-6216	153	19	,	,	PUNCT
ejpam-6216	153	20	τ1	τ1	NOUN
ejpam-6216	153	21	)	)	PUNCT
ejpam-6216	153	22	=	=	SYM
ejpam-6216	153	23	supn∈n[µo(τ0	supn∈n[µo(τ0	PROPN
ejpam-6216	153	24	,	,	PUNCT
ejpam-6216	153	25	τ1	τ1	NOUN
ejpam-6216	153	26	)	)	PUNCT
ejpam-6216	153	27	]	]	PUNCT
ejpam-6216	153	28	n	n	PRON
ejpam-6216	153	29	conno(τ0	conno(τ0	NOUN
ejpam-6216	153	30	,	,	PUNCT
ejpam-6216	153	31	τ1	τ1	NOUN
ejpam-6216	153	32	)	)	PUNCT
ejpam-6216	153	33	=	=	SYM
ejpam-6216	153	34	supn∈n[µo(τ0	supn∈n[µo(τ0	PROPN
ejpam-6216	153	35	,	,	PUNCT
ejpam-6216	153	36	τ1	τ1	NOUN
ejpam-6216	153	37	)	)	PUNCT
ejpam-6216	153	38	]	]	PUNCT
ejpam-6216	154	1	n	n	DET
ejpam-6216	154	2	definition	definition	NOUN
ejpam-6216	154	3	6.[61	6.[61	NOUN
ejpam-6216	154	4	]	]	X
ejpam-6216	154	5	an	an	DET
ejpam-6216	154	6	edge	edge	NOUN
ejpam-6216	154	7	τ0τ1	τ0τ1	INTJ
ejpam-6216	154	8	in	in	ADP
ejpam-6216	154	9	frd	frd	ADJ
ejpam-6216	154	10	o	o	NOUN
ejpam-6216	154	11	=	=	PUNCT
ejpam-6216	154	12	(	(	PUNCT
ejpam-6216	154	13	o	o	NOUN
ejpam-6216	154	14	,	,	PUNCT
ejpam-6216	154	15	o	o	NOUN
ejpam-6216	154	16	)	)	PUNCT
ejpam-6216	154	17	is	be	AUX
ejpam-6216	154	18	considered	consider	VERB
ejpam-6216	154	19	as	as	ADP
ejpam-6216	154	20	a	a	DET
ejpam-6216	154	21	strong	strong	ADJ
ejpam-6216	154	22	edge	edge	NOUN
ejpam-6216	154	23	in	in	ADP
ejpam-6216	154	24	o	o	PROPN
ejpam-6216	154	25	and	and	CCONJ
ejpam-6216	154	26	o	o	X
ejpam-6216	154	27	if	if	SCONJ
ejpam-6216	154	28	:	:	PUNCT
ejpam-6216	154	29	conno−τ0τ1(τ0	conno−τ0τ1(τ0	PROPN
ejpam-6216	154	30	,	,	PUNCT
ejpam-6216	154	31	τ1	τ1	NOUN
ejpam-6216	154	32	)	)	PUNCT
ejpam-6216	154	33	≤	≤	NOUN
ejpam-6216	154	34	µo(τ0	µo(τ0	NOUN
ejpam-6216	154	35	,	,	PUNCT
ejpam-6216	154	36	τ1	τ1	PROPN
ejpam-6216	154	37	)	)	PUNCT
ejpam-6216	154	38	conno−τ0τ1	conno−τ0τ1	NOUN
ejpam-6216	154	39	(	(	PUNCT
ejpam-6216	154	40	τ0	τ0	PROPN
ejpam-6216	154	41	,	,	PUNCT
ejpam-6216	154	42	τ1	τ1	NOUN
ejpam-6216	154	43	)	)	PUNCT
ejpam-6216	154	44	≤	≤	NOUN
ejpam-6216	154	45	µo(τ0	µo(τ0	NOUN
ejpam-6216	154	46	,	,	PUNCT
ejpam-6216	154	47	τ1	τ1	NOUN
ejpam-6216	154	48	)	)	PUNCT
ejpam-6216	154	49	if	if	SCONJ
ejpam-6216	154	50	an	an	DET
ejpam-6216	154	51	edge	edge	NOUN
ejpam-6216	154	52	τ0τ1	τ0τ1	VERB
ejpam-6216	154	53	is	be	AUX
ejpam-6216	154	54	strong	strong	ADJ
ejpam-6216	154	55	in	in	ADP
ejpam-6216	154	56	both	both	DET
ejpam-6216	154	57	o	o	NOUN
ejpam-6216	154	58	and	and	CCONJ
ejpam-6216	154	59	o	o	NOUN
ejpam-6216	154	60	then	then	ADV
ejpam-6216	154	61	it	it	PRON
ejpam-6216	154	62	is	be	AUX
ejpam-6216	154	63	strong	strong	ADJ
ejpam-6216	154	64	in	in	ADP
ejpam-6216	154	65	o	o	PROPN
ejpam-6216	154	66	=	=	PUNCT
ejpam-6216	154	67	(	(	PUNCT
ejpam-6216	154	68	o	o	NOUN
ejpam-6216	154	69	,	,	PUNCT
ejpam-6216	154	70	o	o	NOUN
ejpam-6216	154	71	)	)	PUNCT
ejpam-6216	154	72	.	.	PUNCT
ejpam-6216	155	1	definition	definition	NOUN
ejpam-6216	155	2	7.[67	7.[67	NUM
ejpam-6216	155	3	]	]	PUNCT
ejpam-6216	155	4	let	let	VERB
ejpam-6216	155	5	o	o	NOUN
ejpam-6216	155	6	=	=	PUNCT
ejpam-6216	155	7	(	(	PUNCT
ejpam-6216	155	8	o	o	NOUN
ejpam-6216	155	9	,	,	PUNCT
ejpam-6216	155	10	o	o	NOUN
ejpam-6216	155	11	)	)	PUNCT
ejpam-6216	155	12	be	be	AUX
ejpam-6216	155	13	a	a	DET
ejpam-6216	155	14	frd	frd	NOUN
ejpam-6216	155	15	on	on	ADP
ejpam-6216	155	16	a	a	DET
ejpam-6216	155	17	universal	universal	ADJ
ejpam-6216	155	18	set	set	NOUN
ejpam-6216	155	19	x	x	INTJ
ejpam-6216	155	20	.	.	PUNCT
ejpam-6216	156	1	let	let	VERB
ejpam-6216	156	2	τ0	τ0	NOUN
ejpam-6216	156	3	,	,	PUNCT
ejpam-6216	156	4	τ1	τ1	ADP
ejpam-6216	156	5	∈	∈	PROPN
ejpam-6216	156	6	x	x	X
ejpam-6216	156	7	then	then	ADV
ejpam-6216	156	8	vertex	vertex	NOUN
ejpam-6216	156	9	τ0	τ0	PROPN
ejpam-6216	156	10	dominates	dominate	VERB
ejpam-6216	156	11	the	the	DET
ejpam-6216	156	12	vertex	vertex	NOUN
ejpam-6216	156	13	τ1	τ1	NOUN
ejpam-6216	156	14	in	in	ADP
ejpam-6216	156	15	o	o	PROPN
ejpam-6216	156	16	if	if	SCONJ
ejpam-6216	156	17	directed	direct	VERB
ejpam-6216	156	18	edge	edge	NOUN
ejpam-6216	156	19	from	from	ADP
ejpam-6216	156	20	τ0	τ0	NOUN
ejpam-6216	156	21	to	to	PART
ejpam-6216	156	22	τ1	τ1	VERB
ejpam-6216	156	23	is	be	AUX
ejpam-6216	156	24	a	a	DET
ejpam-6216	156	25	strong	strong	ADJ
ejpam-6216	156	26	edge	edge	NOUN
ejpam-6216	156	27	in	in	ADP
ejpam-6216	156	28	o	o	NOUN
ejpam-6216	157	1	such	such	ADJ
ejpam-6216	157	2	that	that	PRON
ejpam-6216	157	3	:	:	PUNCT
ejpam-6216	157	4	conno−τ0τ1(τ0	conno−τ0τ1(τ0	PROPN
ejpam-6216	157	5	,	,	PUNCT
ejpam-6216	157	6	τ1	τ1	NOUN
ejpam-6216	157	7	)	)	PUNCT
ejpam-6216	157	8	≤	≤	NOUN
ejpam-6216	157	9	µo(τ0	µo(τ0	NOUN
ejpam-6216	157	10	,	,	PUNCT
ejpam-6216	157	11	τ1	τ1	NOUN
ejpam-6216	157	12	)	)	PUNCT
ejpam-6216	157	13	similarly	similarly	ADV
ejpam-6216	157	14	,	,	PUNCT
ejpam-6216	157	15	τ0	τ0	NOUN
ejpam-6216	157	16	dominates	dominate	VERB
ejpam-6216	157	17	the	the	DET
ejpam-6216	157	18	vertex	vertex	NOUN
ejpam-6216	157	19	τ1	τ1	NOUN
ejpam-6216	157	20	in	in	ADP
ejpam-6216	157	21	o	o	PROPN
ejpam-6216	157	22	if	if	SCONJ
ejpam-6216	157	23	directed	direct	VERB
ejpam-6216	157	24	edge	edge	NOUN
ejpam-6216	157	25	from	from	ADP
ejpam-6216	157	26	τ0	τ0	NOUN
ejpam-6216	157	27	to	to	PART
ejpam-6216	157	28	τ1	τ1	VERB
ejpam-6216	157	29	is	be	AUX
ejpam-6216	157	30	a	a	DET
ejpam-6216	157	31	strong	strong	ADJ
ejpam-6216	157	32	edge	edge	NOUN
ejpam-6216	157	33	in	in	ADP
ejpam-6216	157	34	o	o	NOUN
ejpam-6216	157	35	such	such	ADJ
ejpam-6216	157	36	that	that	SCONJ
ejpam-6216	157	37	:	:	PUNCT
ejpam-6216	157	38	conno−τ0τ1	conno−τ0τ1	PROPN
ejpam-6216	157	39	(	(	PUNCT
ejpam-6216	157	40	τ0	τ0	PROPN
ejpam-6216	157	41	,	,	PUNCT
ejpam-6216	157	42	τ1	τ1	NOUN
ejpam-6216	157	43	)	)	PUNCT
ejpam-6216	157	44	≤	≤	NOUN
ejpam-6216	157	45	µo(τ0	µo(τ0	NOUN
ejpam-6216	157	46	,	,	PUNCT
ejpam-6216	157	47	τ1	τ1	NOUN
ejpam-6216	157	48	)	)	PUNCT
ejpam-6216	157	49	if	if	SCONJ
ejpam-6216	157	50	directed	direct	VERB
ejpam-6216	157	51	edge	edge	NOUN
ejpam-6216	157	52	from	from	ADP
ejpam-6216	157	53	τ0	τ0	NOUN
ejpam-6216	157	54	to	to	PART
ejpam-6216	157	55	τ1	τ1	VERB
ejpam-6216	157	56	is	be	AUX
ejpam-6216	157	57	a	a	DET
ejpam-6216	157	58	strong	strong	ADJ
ejpam-6216	157	59	edge	edge	NOUN
ejpam-6216	157	60	in	in	ADP
ejpam-6216	157	61	both	both	DET
ejpam-6216	157	62	o	o	NOUN
ejpam-6216	157	63	and	and	CCONJ
ejpam-6216	157	64	o	o	NOUN
ejpam-6216	157	65	then	then	ADV
ejpam-6216	157	66	τ0	τ0	NOUN
ejpam-6216	157	67	dominates	dominate	VERB
ejpam-6216	157	68	the	the	DET
ejpam-6216	157	69	vertex	vertex	NOUN
ejpam-6216	157	70	τ1	τ1	NOUN
ejpam-6216	157	71	in	in	ADP
ejpam-6216	157	72	o	o	PROPN
ejpam-6216	157	73	=	=	PUNCT
ejpam-6216	157	74	(	(	PUNCT
ejpam-6216	157	75	o	o	NOUN
ejpam-6216	157	76	,	,	PUNCT
ejpam-6216	157	77	o	o	NOUN
ejpam-6216	157	78	)	)	PUNCT
ejpam-6216	157	79	.	.	PUNCT
ejpam-6216	158	1	a.	a.	PROPN
ejpam-6216	158	2	arif	arif	PROPN
ejpam-6216	158	3	et	et	PROPN
ejpam-6216	158	4	al	al	PROPN
ejpam-6216	158	5	.	.	PUNCT
ejpam-6216	158	6	/	/	SYM
ejpam-6216	158	7	eur	eur	PROPN
ejpam-6216	158	8	.	.	PUNCT
ejpam-6216	159	1	j.	j.	PROPN
ejpam-6216	159	2	pure	pure	PROPN
ejpam-6216	159	3	appl	appl	PROPN
ejpam-6216	159	4	.	.	PROPN
ejpam-6216	159	5	math	math	PROPN
ejpam-6216	159	6	,	,	PUNCT
ejpam-6216	159	7	18	18	NUM
ejpam-6216	159	8	(	(	PUNCT
ejpam-6216	159	9	4	4	NUM
ejpam-6216	159	10	)	)	PUNCT
ejpam-6216	159	11	(	(	PUNCT
ejpam-6216	159	12	2025	2025	NUM
ejpam-6216	159	13	)	)	PUNCT
ejpam-6216	159	14	,	,	PUNCT
ejpam-6216	159	15	6216	6216	NUM
ejpam-6216	159	16	8	8	NUM
ejpam-6216	159	17	of	of	ADP
ejpam-6216	159	18	36	36	NUM
ejpam-6216	159	19	definition	definition	NOUN
ejpam-6216	159	20	8	8	NUM
ejpam-6216	159	21	.	.	PUNCT
ejpam-6216	160	1	[	[	X
ejpam-6216	160	2	46	46	NUM
ejpam-6216	160	3	]	]	X
ejpam-6216	160	4	let	let	VERB
ejpam-6216	160	5	x	x	PRON
ejpam-6216	160	6	be	be	AUX
ejpam-6216	160	7	universal	universal	ADJ
ejpam-6216	160	8	set	set	NOUN
ejpam-6216	160	9	and	and	CCONJ
ejpam-6216	160	10	υ	υ	NOUN
ejpam-6216	160	11	=	=	SYM
ejpam-6216	160	12	(	(	PUNCT
ejpam-6216	160	13	υ+,υ−	υ+,υ−	NOUN
ejpam-6216	160	14	)	)	PUNCT
ejpam-6216	160	15	be	be	AUX
ejpam-6216	160	16	a	a	DET
ejpam-6216	160	17	bipolar	bipolar	ADJ
ejpam-6216	160	18	fuzzy	fuzzy	ADJ
ejpam-6216	160	19	equivalence	equivalence	NOUN
ejpam-6216	160	20	relation	relation	NOUN
ejpam-6216	160	21	on	on	ADP
ejpam-6216	160	22	x.	x.	NOUN
ejpam-6216	160	23	let	let	VERB
ejpam-6216	160	24	w	w	NOUN
ejpam-6216	160	25	=	=	PUNCT
ejpam-6216	160	26	(	(	PUNCT
ejpam-6216	160	27	w+,w−	w+,w−	X
ejpam-6216	160	28	)	)	PUNCT
ejpam-6216	160	29	be	be	VERB
ejpam-6216	160	30	a	a	DET
ejpam-6216	160	31	bfs	bfs	NOUN
ejpam-6216	160	32	on	on	ADP
ejpam-6216	160	33	x.	x.	NOUN
ejpam-6216	160	34	the	the	DET
ejpam-6216	160	35	lower	low	ADJ
ejpam-6216	160	36	approximation	approximation	NOUN
ejpam-6216	160	37	of	of	ADP
ejpam-6216	160	38	w	w	PROPN
ejpam-6216	160	39	under	under	ADP
ejpam-6216	160	40	υ	υ	NOUN
ejpam-6216	160	41	is	be	AUX
ejpam-6216	160	42	denoted	denote	VERB
ejpam-6216	160	43	by	by	ADP
ejpam-6216	160	44	υw	υw	NOUN
ejpam-6216	160	45	and	and	CCONJ
ejpam-6216	160	46	the	the	DET
ejpam-6216	160	47	upper	upper	ADJ
ejpam-6216	160	48	approximation	approximation	NOUN
ejpam-6216	160	49	of	of	ADP
ejpam-6216	160	50	w	w	PROPN
ejpam-6216	160	51	under	under	ADP
ejpam-6216	160	52	υ	υ	NOUN
ejpam-6216	160	53	is	be	AUX
ejpam-6216	160	54	denoted	denote	VERB
ejpam-6216	160	55	by	by	ADP
ejpam-6216	160	56	υw	υw	NOUN
ejpam-6216	160	57	such	such	ADJ
ejpam-6216	160	58	that	that	PRON
ejpam-6216	160	59	:	:	PUNCT
ejpam-6216	160	60	υw	υw	NOUN
ejpam-6216	160	61	=	=	SYM
ejpam-6216	160	62	(	(	PUNCT
ejpam-6216	160	63	υw+,υw−	υw+,υw−	PROPN
ejpam-6216	160	64	)	)	PUNCT
ejpam-6216	160	65	υw	υw	NOUN
ejpam-6216	160	66	=	=	SYM
ejpam-6216	160	67	(	(	PUNCT
ejpam-6216	160	68	υw+,υw−	υw+,υw−	PROPN
ejpam-6216	160	69	)	)	PUNCT
ejpam-6216	160	70	υw	υw	NOUN
ejpam-6216	160	71	and	and	CCONJ
ejpam-6216	160	72	υw	υw	ADV
ejpam-6216	160	73	are	be	AUX
ejpam-6216	160	74	defined	define	VERB
ejpam-6216	160	75	by:	by:	PROPN
ejpam-6216	160	76	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	160	77	)	)	PUNCT
ejpam-6216	161	1	=	=	X
ejpam-6216	162	1	∧	∧	PROPN
ejpam-6216	163	1	[	[	X
ejpam-6216	163	2	1−υ+(ϵ0	1−υ+(ϵ0	NUM
ejpam-6216	163	3	,	,	PUNCT
ejpam-6216	163	4	ϵ1	ϵ1	ADJ
ejpam-6216	163	5	)	)	PUNCT
ejpam-6216	163	6	∨w+(β	∨w+(β	NOUN
ejpam-6216	163	7	)	)	PUNCT
ejpam-6216	163	8	]	]	PUNCT
ejpam-6216	163	9	υw−(ϵ0	υw−(ϵ0	NOUN
ejpam-6216	163	10	)	)	PUNCT
ejpam-6216	163	11	=	=	PUNCT
ejpam-6216	164	1	∨	∨	NOUN
ejpam-6216	164	2	[	[	X
ejpam-6216	164	3	−1−υ−(ϵ0	−1−υ−(ϵ0	ADJ
ejpam-6216	164	4	,	,	PUNCT
ejpam-6216	164	5	ϵ1	ϵ1	ADJ
ejpam-6216	164	6	)	)	PUNCT
ejpam-6216	164	7	∧w−(ϵ1	∧w−(ϵ1	PROPN
ejpam-6216	164	8	)	)	PUNCT
ejpam-6216	164	9	]	]	PUNCT
ejpam-6216	165	1	υw+(ϵ0	υw+(ϵ0	X
ejpam-6216	165	2	)	)	PUNCT
ejpam-6216	165	3	=	=	PUNCT
ejpam-6216	166	1	∨	∨	NOUN
ejpam-6216	166	2	[	[	X
ejpam-6216	166	3	υ+(ϵ0	υ+(ϵ0	ADJ
ejpam-6216	166	4	,	,	PUNCT
ejpam-6216	166	5	ϵ1	ϵ1	ADJ
ejpam-6216	166	6	)	)	PUNCT
ejpam-6216	166	7	∧w+(ϵ1	∧w+(ϵ1	NOUN
ejpam-6216	166	8	)	)	PUNCT
ejpam-6216	166	9	]	]	PUNCT
ejpam-6216	166	10	υw−(ϵ0	υw−(ϵ0	NOUN
ejpam-6216	166	11	)	)	PUNCT
ejpam-6216	167	1	=	=	PUNCT
ejpam-6216	167	2	∧	∧	PROPN
ejpam-6216	167	3	[	[	X
ejpam-6216	167	4	υ−(ϵ0	υ−(ϵ0	NOUN
ejpam-6216	167	5	,	,	PUNCT
ejpam-6216	167	6	ϵ1	ϵ1	ADJ
ejpam-6216	167	7	)	)	PUNCT
ejpam-6216	167	8	∨w−(ϵ1	∨w−(ϵ1	PROPN
ejpam-6216	167	9	)	)	PUNCT
ejpam-6216	167	10	]	]	PUNCT
ejpam-6216	167	11	,	,	PUNCT
ejpam-6216	167	12	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	167	13	,	,	PUNCT
ejpam-6216	167	14	ϵ1	ϵ1	NOUN
ejpam-6216	167	15	∈	∈	PROPN
ejpam-6216	167	16	x	x	X
ejpam-6216	167	17	the	the	DET
ejpam-6216	167	18	pair	pair	NOUN
ejpam-6216	167	19	(	(	PUNCT
ejpam-6216	167	20	υw	υw	ADJ
ejpam-6216	167	21	,	,	PUNCT
ejpam-6216	167	22	υw	υw	NOUN
ejpam-6216	167	23	)	)	PUNCT
ejpam-6216	167	24	is	be	AUX
ejpam-6216	167	25	called	call	VERB
ejpam-6216	167	26	bfrs	bfrs	NOUN
ejpam-6216	167	27	if	if	SCONJ
ejpam-6216	167	28	υw	υw	ADV
ejpam-6216	167	29	−υw	−υw	VERB
ejpam-6216	167	30	̸=	̸=	PROPN
ejpam-6216	167	31	∅	∅	NOUN
ejpam-6216	167	32	.	.	PUNCT
ejpam-6216	168	1	definition	definition	NOUN
ejpam-6216	168	2	9	9	NUM
ejpam-6216	168	3	.	.	PUNCT
ejpam-6216	169	1	[	[	X
ejpam-6216	169	2	47	47	NUM
ejpam-6216	169	3	]	]	PUNCT
ejpam-6216	169	4	let	let	VERB
ejpam-6216	169	5	x	x	PRON
ejpam-6216	169	6	be	be	AUX
ejpam-6216	169	7	universal	universal	ADJ
ejpam-6216	169	8	set	set	NOUN
ejpam-6216	169	9	and	and	CCONJ
ejpam-6216	169	10	υ	υ	NOUN
ejpam-6216	169	11	=	=	SYM
ejpam-6216	169	12	(	(	PUNCT
ejpam-6216	169	13	υ+,υ−	υ+,υ−	NOUN
ejpam-6216	169	14	)	)	PUNCT
ejpam-6216	169	15	be	be	AUX
ejpam-6216	169	16	a	a	DET
ejpam-6216	169	17	bipolar	bipolar	ADJ
ejpam-6216	169	18	fuzzy	fuzzy	ADJ
ejpam-6216	169	19	tolerance	tolerance	NOUN
ejpam-6216	169	20	equivalence	equivalence	NOUN
ejpam-6216	169	21	relation	relation	NOUN
ejpam-6216	169	22	on	on	ADP
ejpam-6216	169	23	x.	x.	NOUN
ejpam-6216	169	24	let	let	VERB
ejpam-6216	169	25	w	w	NOUN
ejpam-6216	169	26	=	=	PUNCT
ejpam-6216	169	27	(	(	PUNCT
ejpam-6216	169	28	w+,w−	w+,w−	X
ejpam-6216	169	29	)	)	PUNCT
ejpam-6216	169	30	be	be	VERB
ejpam-6216	169	31	a	a	DET
ejpam-6216	169	32	bfs	bfs	NOUN
ejpam-6216	169	33	on	on	ADP
ejpam-6216	169	34	x	x	PUNCT
ejpam-6216	169	35	and	and	CCONJ
ejpam-6216	169	36	(	(	PUNCT
ejpam-6216	169	37	υw	υw	ADJ
ejpam-6216	169	38	,	,	PUNCT
ejpam-6216	169	39	υw	υw	NOUN
ejpam-6216	169	40	)	)	PUNCT
ejpam-6216	169	41	is	be	AUX
ejpam-6216	169	42	a	a	DET
ejpam-6216	169	43	bfrs	bfrs	NOUN
ejpam-6216	169	44	on	on	ADP
ejpam-6216	169	45	x.	x.	NOUN
ejpam-6216	169	46	let	let	VERB
ejpam-6216	169	47	a	a	DET
ejpam-6216	169	48	⊆	⊆	NUM
ejpam-6216	169	49	x	x	SYM
ejpam-6216	169	50	×x	×x	NOUN
ejpam-6216	169	51	and	and	CCONJ
ejpam-6216	169	52	l	l	NOUN
ejpam-6216	170	1	=	=	SYM
ejpam-6216	170	2	(	(	PUNCT
ejpam-6216	170	3	l−	l−	PROPN
ejpam-6216	170	4	,	,	PUNCT
ejpam-6216	170	5	l+	l+	NOUN
ejpam-6216	170	6	)	)	PUNCT
ejpam-6216	170	7	be	be	AUX
ejpam-6216	170	8	a	a	DET
ejpam-6216	170	9	bftr	bftr	NOUN
ejpam-6216	170	10	on	on	ADP
ejpam-6216	170	11	a	a	DET
ejpam-6216	170	12	such	such	ADJ
ejpam-6216	170	13	that	that	PRON
ejpam-6216	170	14	:	:	PUNCT
ejpam-6216	170	15	l+(αβ	l+(αβ	NOUN
ejpam-6216	170	16	,	,	PUNCT
ejpam-6216	170	17	γθ	γθ	NOUN
ejpam-6216	170	18	)	)	PUNCT
ejpam-6216	170	19	≤	≤	NUM
ejpam-6216	170	20	υ+(α	υ+(α	PROPN
ejpam-6216	170	21	,	,	PUNCT
ejpam-6216	170	22	γ	γ	NOUN
ejpam-6216	170	23	)	)	PUNCT
ejpam-6216	170	24	∧υ+(β	∧υ+(β	NOUN
ejpam-6216	170	25	,	,	PUNCT
ejpam-6216	170	26	θ	θ	NOUN
ejpam-6216	170	27	)	)	PUNCT
ejpam-6216	170	28	l−(αβ	l−(αβ	NOUN
ejpam-6216	170	29	,	,	PUNCT
ejpam-6216	170	30	γθ	γθ	NOUN
ejpam-6216	170	31	)	)	PUNCT
ejpam-6216	170	32	≥	≥	NOUN
ejpam-6216	170	33	υ−(α	υ−(α	NOUN
ejpam-6216	170	34	,	,	PUNCT
ejpam-6216	170	35	γ	γ	NOUN
ejpam-6216	170	36	)	)	PUNCT
ejpam-6216	170	37	∨υ−(β	∨υ−(β	NOUN
ejpam-6216	170	38	,	,	PUNCT
ejpam-6216	170	39	θ	θ	NOUN
ejpam-6216	170	40	)	)	PUNCT
ejpam-6216	170	41	let	let	VERB
ejpam-6216	170	42	a	a	DET
ejpam-6216	170	43	bfs	bfs	NOUN
ejpam-6216	170	44	λ	λ	X
ejpam-6216	170	45	=	=	SYM
ejpam-6216	170	46	(	(	PUNCT
ejpam-6216	170	47	λ+,λ−	λ+,λ−	PROPN
ejpam-6216	170	48	)	)	PUNCT
ejpam-6216	170	49	on	on	ADP
ejpam-6216	170	50	a	a	DET
ejpam-6216	170	51	such	such	ADJ
ejpam-6216	170	52	that	that	PRON
ejpam-6216	170	53	:	:	PUNCT
ejpam-6216	170	54	{	{	PUNCT
ejpam-6216	170	55	λ+(γθ	λ+(γθ	PROPN
ejpam-6216	170	56	)	)	PUNCT
ejpam-6216	170	57	≤	≤	NOUN
ejpam-6216	170	58	(	(	PUNCT
ejpam-6216	170	59	υw+)(γ	υw+)(γ	NOUN
ejpam-6216	170	60	)	)	PUNCT
ejpam-6216	170	61	∧υw+(θ	∧υw+(θ	NOUN
ejpam-6216	170	62	)	)	PUNCT
ejpam-6216	170	63	λ−(γθ	λ−(γθ	NUM
ejpam-6216	170	64	)	)	PUNCT
ejpam-6216	170	65	≥	≥	NOUN
ejpam-6216	170	66	(	(	PUNCT
ejpam-6216	170	67	υw−)(γ	υw−)(γ	NOUN
ejpam-6216	170	68	)	)	PUNCT
ejpam-6216	170	69	∨υw−(θ	∨υw−(θ	NOUN
ejpam-6216	170	70	)	)	PUNCT
ejpam-6216	170	71	the	the	DET
ejpam-6216	170	72	lower	low	ADJ
ejpam-6216	170	73	approximation	approximation	NOUN
ejpam-6216	170	74	is	be	AUX
ejpam-6216	170	75	denoted	denote	VERB
ejpam-6216	170	76	by	by	ADP
ejpam-6216	170	77	lλ	lλ	ADP
ejpam-6216	170	78	and	and	CCONJ
ejpam-6216	170	79	upper	upper	ADJ
ejpam-6216	170	80	approximation	approximation	NOUN
ejpam-6216	170	81	is	be	AUX
ejpam-6216	170	82	denoted	denote	VERB
ejpam-6216	170	83	by	by	ADP
ejpam-6216	170	84	lλ	lλ	INTJ
ejpam-6216	170	85	such	such	ADJ
ejpam-6216	170	86	that	that	PRON
ejpam-6216	170	87	:	:	PUNCT
ejpam-6216	170	88	lλ	lλ	INTJ
ejpam-6216	170	89	=	=	SYM
ejpam-6216	170	90	(	(	PUNCT
ejpam-6216	170	91	lλ+	lλ+	PROPN
ejpam-6216	170	92	,	,	PUNCT
ejpam-6216	170	93	lλ−	lλ−	X
ejpam-6216	170	94	)	)	PUNCT
ejpam-6216	170	95	,	,	PUNCT
ejpam-6216	170	96	lλ	lλ	NOUN
ejpam-6216	170	97	=	=	SYM
ejpam-6216	170	98	(	(	PUNCT
ejpam-6216	170	99	lλ+	lλ+	PROPN
ejpam-6216	170	100	,	,	PUNCT
ejpam-6216	170	101	lλ−	lλ−	X
ejpam-6216	170	102	)	)	PUNCT
ejpam-6216	170	103	and	and	CCONJ
ejpam-6216	170	104	are	be	AUX
ejpam-6216	170	105	defined	define	VERB
ejpam-6216	170	106	by:	by:	PROPN
ejpam-6216	170	107	lλ+(αβ	lλ+(αβ	NOUN
ejpam-6216	170	108	)	)	PUNCT
ejpam-6216	171	1	=	=	PUNCT
ejpam-6216	172	1	∧	∧	PROPN
ejpam-6216	172	2	[	[	X
ejpam-6216	172	3	(	(	PUNCT
ejpam-6216	172	4	1−	1−	NUM
ejpam-6216	172	5	l+(αβ	l+(αβ	NOUN
ejpam-6216	172	6	,	,	PUNCT
ejpam-6216	172	7	γθ	γθ	NOUN
ejpam-6216	172	8	)	)	PUNCT
ejpam-6216	172	9	)	)	PUNCT
ejpam-6216	172	10	∨	∨	NUM
ejpam-6216	172	11	λ+(γθ	λ+(γθ	PROPN
ejpam-6216	172	12	)	)	PUNCT
ejpam-6216	172	13	]	]	PUNCT
ejpam-6216	172	14	lλ−(αβ	lλ−(αβ	NOUN
ejpam-6216	172	15	)	)	PUNCT
ejpam-6216	172	16	=	=	PUNCT
ejpam-6216	173	1	∨	∨	NUM
ejpam-6216	173	2	[	[	X
ejpam-6216	173	3	(	(	PUNCT
ejpam-6216	173	4	−1−	−1−	NOUN
ejpam-6216	173	5	l−(αβ	l−(αβ	NOUN
ejpam-6216	173	6	,	,	PUNCT
ejpam-6216	173	7	γθ	γθ	NOUN
ejpam-6216	173	8	)	)	PUNCT
ejpam-6216	173	9	)	)	PUNCT
ejpam-6216	174	1	∧	∧	NOUN
ejpam-6216	174	2	λ−(γθ	λ−(γθ	NOUN
ejpam-6216	174	3	)	)	PUNCT
ejpam-6216	174	4	]	]	PUNCT
ejpam-6216	175	1	lλ+(αβ	lλ+(αβ	NOUN
ejpam-6216	175	2	)	)	PUNCT
ejpam-6216	175	3	=	=	PUNCT
ejpam-6216	176	1	∨	∨	NOUN
ejpam-6216	176	2	[	[	X
ejpam-6216	176	3	l+(αβ	l+(αβ	NOUN
ejpam-6216	176	4	,	,	PUNCT
ejpam-6216	176	5	γθ	γθ	NOUN
ejpam-6216	176	6	)	)	PUNCT
ejpam-6216	176	7	∧	∧	PROPN
ejpam-6216	176	8	λ+(γθ	λ+(γθ	PROPN
ejpam-6216	176	9	)	)	PUNCT
ejpam-6216	176	10	]	]	PUNCT
ejpam-6216	177	1	lλ−(αβ	lλ−(αβ	NOUN
ejpam-6216	177	2	)	)	PUNCT
ejpam-6216	177	3	=	=	PUNCT
ejpam-6216	178	1	∧	∧	PROPN
ejpam-6216	179	1	[	[	X
ejpam-6216	179	2	(	(	PUNCT
ejpam-6216	179	3	l−(αβ	l−(αβ	NOUN
ejpam-6216	179	4	,	,	PUNCT
ejpam-6216	179	5	γθ	γθ	NOUN
ejpam-6216	179	6	)	)	PUNCT
ejpam-6216	179	7	∨	∨	NUM
ejpam-6216	179	8	λ−(γθ	λ−(γθ	NOUN
ejpam-6216	179	9	)	)	PUNCT
ejpam-6216	179	10	]	]	PUNCT
ejpam-6216	179	11	,	,	PUNCT
ejpam-6216	179	12	∀γθ	∀γθ	PROPN
ejpam-6216	179	13	∈	∈	PROPN
ejpam-6216	179	14	a	a	DET
ejpam-6216	179	15	then	then	ADV
ejpam-6216	179	16	the	the	DET
ejpam-6216	179	17	pair	pair	NOUN
ejpam-6216	179	18	(	(	PUNCT
ejpam-6216	179	19	lλ	lλ	INTJ
ejpam-6216	179	20	,	,	PUNCT
ejpam-6216	179	21	l	l	NOUN
ejpam-6216	179	22	,	,	PUNCT
ejpam-6216	179	23	λ	λ	NOUN
ejpam-6216	179	24	)	)	PUNCT
ejpam-6216	179	25	is	be	AUX
ejpam-6216	179	26	called	call	VERB
ejpam-6216	179	27	a	a	DET
ejpam-6216	179	28	bipolar	bipolar	ADJ
ejpam-6216	179	29	fuzzy	fuzzy	ADJ
ejpam-6216	179	30	rough	rough	ADJ
ejpam-6216	179	31	relation	relation	NOUN
ejpam-6216	179	32	.	.	PUNCT
ejpam-6216	180	1	a.	a.	PROPN
ejpam-6216	180	2	arif	arif	PROPN
ejpam-6216	180	3	et	et	PROPN
ejpam-6216	180	4	al	al	PROPN
ejpam-6216	180	5	.	.	PUNCT
ejpam-6216	180	6	/	/	SYM
ejpam-6216	180	7	eur	eur	PROPN
ejpam-6216	180	8	.	.	PUNCT
ejpam-6216	181	1	j.	j.	PROPN
ejpam-6216	181	2	pure	pure	PROPN
ejpam-6216	181	3	appl	appl	PROPN
ejpam-6216	181	4	.	.	PROPN
ejpam-6216	181	5	math	math	PROPN
ejpam-6216	181	6	,	,	PUNCT
ejpam-6216	181	7	18	18	NUM
ejpam-6216	181	8	(	(	PUNCT
ejpam-6216	181	9	4	4	NUM
ejpam-6216	181	10	)	)	PUNCT
ejpam-6216	181	11	(	(	PUNCT
ejpam-6216	181	12	2025	2025	NUM
ejpam-6216	181	13	)	)	PUNCT
ejpam-6216	181	14	,	,	PUNCT
ejpam-6216	181	15	6216	6216	NUM
ejpam-6216	181	16	9	9	NUM
ejpam-6216	181	17	of	of	ADP
ejpam-6216	181	18	36	36	NUM
ejpam-6216	181	19	3	3	NUM
ejpam-6216	181	20	.	.	PUNCT
ejpam-6216	181	21	domination	domination	NOUN
ejpam-6216	181	22	in	in	ADP
ejpam-6216	181	23	bipolar	bipolar	ADJ
ejpam-6216	181	24	fuzzy	fuzzy	ADJ
ejpam-6216	181	25	rough	rough	ADJ
ejpam-6216	181	26	digraphs	digraph	NOUN
ejpam-6216	181	27	in	in	ADP
ejpam-6216	181	28	this	this	DET
ejpam-6216	181	29	section	section	NOUN
ejpam-6216	182	1	,	,	PUNCT
ejpam-6216	182	2	we	we	PRON
ejpam-6216	182	3	present	present	VERB
ejpam-6216	182	4	the	the	DET
ejpam-6216	182	5	ideas	idea	NOUN
ejpam-6216	182	6	of	of	ADP
ejpam-6216	182	7	bipolar	bipolar	ADJ
ejpam-6216	182	8	fuzzy	fuzzy	ADJ
ejpam-6216	182	9	rough	rough	ADJ
ejpam-6216	182	10	digraphs	digraph	NOUN
ejpam-6216	182	11	,	,	PUNCT
ejpam-6216	182	12	the	the	DET
ejpam-6216	182	13	union	union	NOUN
ejpam-6216	182	14	of	of	ADP
ejpam-6216	182	15	bipolar	bipolar	ADJ
ejpam-6216	182	16	fuzzy	fuzzy	ADJ
ejpam-6216	182	17	rough	rough	ADJ
ejpam-6216	182	18	digraph	digraph	NOUN
ejpam-6216	182	19	,	,	PUNCT
ejpam-6216	182	20	the	the	DET
ejpam-6216	182	21	strength	strength	NOUN
ejpam-6216	182	22	of	of	ADP
ejpam-6216	182	23	a	a	DET
ejpam-6216	182	24	path	path	NOUN
ejpam-6216	182	25	,	,	PUNCT
ejpam-6216	182	26	the	the	DET
ejpam-6216	182	27	strength	strength	NOUN
ejpam-6216	182	28	of	of	ADP
ejpam-6216	182	29	the	the	DET
ejpam-6216	182	30	connectedness	connectedness	NOUN
ejpam-6216	182	31	,	,	PUNCT
ejpam-6216	182	32	domination	domination	NOUN
ejpam-6216	182	33	,	,	PUNCT
ejpam-6216	182	34	minimum	minimum	ADJ
ejpam-6216	182	35	dominating	dominating	NOUN
ejpam-6216	182	36	set	set	NOUN
ejpam-6216	182	37	,	,	PUNCT
ejpam-6216	182	38	domination	domination	NOUN
ejpam-6216	182	39	number	number	NOUN
ejpam-6216	182	40	,	,	PUNCT
ejpam-6216	182	41	degree	degree	NOUN
ejpam-6216	182	42	of	of	ADP
ejpam-6216	182	43	the	the	DET
ejpam-6216	182	44	vertices	vertex	NOUN
ejpam-6216	182	45	,	,	PUNCT
ejpam-6216	182	46	and	and	CCONJ
ejpam-6216	182	47	the	the	DET
ejpam-6216	182	48	notions	notion	NOUN
ejpam-6216	182	49	of	of	ADP
ejpam-6216	182	50	regular	regular	ADJ
ejpam-6216	182	51	,	,	PUNCT
ejpam-6216	182	52	totally	totally	ADV
ejpam-6216	182	53	regular	regular	ADJ
ejpam-6216	182	54	bipolar	bipolar	ADJ
ejpam-6216	182	55	fuzzy	fuzzy	ADJ
ejpam-6216	182	56	rough	rough	ADJ
ejpam-6216	182	57	digraphs	digraph	NOUN
ejpam-6216	182	58	.	.	PUNCT
ejpam-6216	183	1	definition	definition	NOUN
ejpam-6216	183	2	10	10	NUM
ejpam-6216	183	3	.	.	PUNCT
ejpam-6216	184	1	let	let	VERB
ejpam-6216	184	2	x	x	PRON
ejpam-6216	184	3	be	be	AUX
ejpam-6216	184	4	a	a	DET
ejpam-6216	184	5	universal	universal	ADJ
ejpam-6216	184	6	set	set	NOUN
ejpam-6216	184	7	.	.	PUNCT
ejpam-6216	185	1	if	if	SCONJ
ejpam-6216	185	2	υ	υ	PROPN
ejpam-6216	185	3	is	be	AUX
ejpam-6216	185	4	a	a	DET
ejpam-6216	185	5	bftr	bftr	NOUN
ejpam-6216	185	6	on	on	ADP
ejpam-6216	185	7	x	x	PRON
ejpam-6216	185	8	,	,	PUNCT
ejpam-6216	185	9	l	l	NOUN
ejpam-6216	185	10	is	be	AUX
ejpam-6216	185	11	a	a	DET
ejpam-6216	185	12	bftr	bftr	NOUN
ejpam-6216	185	13	on	on	ADP
ejpam-6216	185	14	a	a	DET
ejpam-6216	185	15	⊆	⊆	NUM
ejpam-6216	185	16	x	x	SYM
ejpam-6216	185	17	×x	×x	X
ejpam-6216	185	18	,	,	PUNCT
ejpam-6216	185	19	w	w	PROPN
ejpam-6216	185	20	be	be	AUX
ejpam-6216	185	21	a	a	DET
ejpam-6216	185	22	bfs	bfs	NOUN
ejpam-6216	185	23	on	on	ADP
ejpam-6216	185	24	x	x	NOUN
ejpam-6216	185	25	,	,	PUNCT
ejpam-6216	185	26	υw	υw	NOUN
ejpam-6216	185	27	=	=	PUNCT
ejpam-6216	185	28	(	(	PUNCT
ejpam-6216	185	29	υw	υw	ADJ
ejpam-6216	185	30	,	,	PUNCT
ejpam-6216	185	31	υw	υw	NOUN
ejpam-6216	185	32	)	)	PUNCT
ejpam-6216	185	33	is	be	AUX
ejpam-6216	185	34	a	a	DET
ejpam-6216	185	35	bfrs	bfrs	NOUN
ejpam-6216	185	36	on	on	ADP
ejpam-6216	185	37	x	x	NOUN
ejpam-6216	185	38	,	,	PUNCT
ejpam-6216	185	39	and	and	CCONJ
ejpam-6216	185	40	lλ	lλ	NOUN
ejpam-6216	185	41	=	=	SYM
ejpam-6216	185	42	(	(	PUNCT
ejpam-6216	185	43	lλ	lλ	INTJ
ejpam-6216	185	44	,	,	PUNCT
ejpam-6216	185	45	lλ	lλ	NOUN
ejpam-6216	185	46	)	)	PUNCT
ejpam-6216	185	47	is	be	AUX
ejpam-6216	185	48	a	a	DET
ejpam-6216	185	49	bipolar	bipolar	ADJ
ejpam-6216	185	50	fuzzy	fuzzy	ADJ
ejpam-6216	185	51	rough	rough	ADJ
ejpam-6216	185	52	relation	relation	NOUN
ejpam-6216	185	53	on	on	ADP
ejpam-6216	185	54	x	x	NOUN
ejpam-6216	185	55	,	,	PUNCT
ejpam-6216	185	56	then	then	ADV
ejpam-6216	185	57	the	the	DET
ejpam-6216	185	58	bfrd	bfrd	NOUN
ejpam-6216	185	59	is	be	AUX
ejpam-6216	185	60	defined	define	VERB
ejpam-6216	185	61	by	by	ADP
ejpam-6216	185	62	:	:	PUNCT
ejpam-6216	185	63	γ	γ	X
ejpam-6216	185	64	=	=	SYM
ejpam-6216	185	65	(	(	PUNCT
ejpam-6216	185	66	w	w	PROPN
ejpam-6216	185	67	,	,	PUNCT
ejpam-6216	185	68	υw	υw	ADJ
ejpam-6216	185	69	,	,	PUNCT
ejpam-6216	185	70	λ	λ	NOUN
ejpam-6216	185	71	,	,	PUNCT
ejpam-6216	185	72	lλ	lλ	NOUN
ejpam-6216	185	73	)	)	PUNCT
ejpam-6216	185	74	where	where	SCONJ
ejpam-6216	185	75	γ	γ	X
ejpam-6216	185	76	=	=	SYM
ejpam-6216	185	77	(	(	PUNCT
ejpam-6216	185	78	υw	υw	NOUN
ejpam-6216	185	79	,	,	PUNCT
ejpam-6216	185	80	lλ	lλ	NOUN
ejpam-6216	185	81	)	)	PUNCT
ejpam-6216	185	82	is	be	AUX
ejpam-6216	185	83	the	the	DET
ejpam-6216	185	84	lower	low	ADJ
ejpam-6216	185	85	approximation	approximation	NOUN
ejpam-6216	185	86	of	of	ADP
ejpam-6216	185	87	γ	γ	NOUN
ejpam-6216	185	88	and	and	CCONJ
ejpam-6216	185	89	γ	γ	X
ejpam-6216	185	90	=	=	SYM
ejpam-6216	185	91	(	(	PUNCT
ejpam-6216	185	92	υw	υw	NOUN
ejpam-6216	185	93	,	,	PUNCT
ejpam-6216	185	94	lλ	lλ	NOUN
ejpam-6216	185	95	)	)	PUNCT
ejpam-6216	185	96	is	be	AUX
ejpam-6216	185	97	the	the	DET
ejpam-6216	185	98	upper	upper	ADJ
ejpam-6216	185	99	approximation	approximation	NOUN
ejpam-6216	185	100	of	of	ADP
ejpam-6216	185	101	γ	γ	PROPN
ejpam-6216	185	102	such	such	ADJ
ejpam-6216	185	103	that:	that:	PROPN
ejpam-6216	185	104	lλ+(αβ	lλ+(αβ	NOUN
ejpam-6216	185	105	)	)	PUNCT
ejpam-6216	185	106	≤	≤	PUNCT
ejpam-6216	185	107	∧	∧	PROPN
ejpam-6216	185	108	[	[	X
ejpam-6216	185	109	υw+(α),υw+(β	υw+(α),υw+(β	NUM
ejpam-6216	185	110	)	)	PUNCT
ejpam-6216	185	111	]	]	PUNCT
ejpam-6216	185	112	lλ−(αβ	lλ−(αβ	NOUN
ejpam-6216	185	113	)	)	PUNCT
ejpam-6216	185	114	≥	≥	NOUN
ejpam-6216	185	115	∨	∨	NUM
ejpam-6216	185	116	[	[	X
ejpam-6216	185	117	υw−(α),υw−(β	υw−(α),υw−(β	X
ejpam-6216	185	118	)	)	PUNCT
ejpam-6216	185	119	]	]	PUNCT
ejpam-6216	186	1	lλ+(αβ	lλ+(αβ	NOUN
ejpam-6216	186	2	)	)	PUNCT
ejpam-6216	186	3	≤	≤	PUNCT
ejpam-6216	187	1	∧	∧	PROPN
ejpam-6216	187	2	[	[	X
ejpam-6216	187	3	υw+(α),υw+(β	υw+(α),υw+(β	NUM
ejpam-6216	187	4	)	)	PUNCT
ejpam-6216	187	5	]	]	PUNCT
ejpam-6216	187	6	lλ−(αβ	lλ−(αβ	NOUN
ejpam-6216	187	7	)	)	PUNCT
ejpam-6216	187	8	≥	≥	NOUN
ejpam-6216	187	9	∨	∨	NUM
ejpam-6216	187	10	[	[	X
ejpam-6216	187	11	υw−(α),υw−(β	υw−(α),υw−(β	X
ejpam-6216	187	12	)	)	PUNCT
ejpam-6216	187	13	]	]	PUNCT
ejpam-6216	187	14	,	,	PUNCT
ejpam-6216	187	15	∀	∀	NUM
ejpam-6216	188	1	αβ	αβ	INTJ
ejpam-6216	188	2	∈	∈	PROPN
ejpam-6216	188	3	a.	a.	NOUN
ejpam-6216	188	4	example	example	NOUN
ejpam-6216	188	5	1	1	X
ejpam-6216	188	6	.	.	PUNCT
ejpam-6216	189	1	let	let	VERB
ejpam-6216	189	2	x	x	PUNCT
ejpam-6216	189	3	=	=	PRON
ejpam-6216	189	4	{	{	PUNCT
ejpam-6216	189	5	ϵ	ϵ	X
ejpam-6216	189	6	,	,	PUNCT
ejpam-6216	189	7	η	η	PROPN
ejpam-6216	189	8	,	,	PUNCT
ejpam-6216	189	9	ζ	ζ	NOUN
ejpam-6216	189	10	}	}	PUNCT
ejpam-6216	189	11	be	be	AUX
ejpam-6216	189	12	a	a	DET
ejpam-6216	189	13	universal	universal	ADJ
ejpam-6216	189	14	set	set	NOUN
ejpam-6216	189	15	and	and	CCONJ
ejpam-6216	189	16	υ	υ	NOUN
ejpam-6216	189	17	=	=	SYM
ejpam-6216	189	18	(	(	PUNCT
ejpam-6216	189	19	υ+,υ−	υ+,υ−	NOUN
ejpam-6216	189	20	)	)	PUNCT
ejpam-6216	189	21	be	be	AUX
ejpam-6216	189	22	a	a	DET
ejpam-6216	189	23	bftr	bftr	NOUN
ejpam-6216	189	24	on	on	ADP
ejpam-6216	189	25	x	x	PUNCT
ejpam-6216	189	26	defined	define	VERB
ejpam-6216	189	27	in	in	ADP
ejpam-6216	189	28	tables	table	NOUN
ejpam-6216	189	29	2	2	NUM
ejpam-6216	189	30	and	and	CCONJ
ejpam-6216	189	31	3	3	NUM
ejpam-6216	189	32	.	.	PUNCT
ejpam-6216	189	33	υ+	υ+	X
ejpam-6216	190	1	ϵ	ϵ	X
ejpam-6216	190	2	η	η	PROPN
ejpam-6216	190	3	ζ	ζ	X
ejpam-6216	190	4	ϵ	ϵ	PROPN
ejpam-6216	190	5	1	1	NUM
ejpam-6216	190	6	0.1	0.1	NUM
ejpam-6216	190	7	0.3	0.3	NUM
ejpam-6216	190	8	η	η	PROPN
ejpam-6216	190	9	0.1	0.1	NUM
ejpam-6216	190	10	1	1	NUM
ejpam-6216	190	11	0.5	0.5	NUM
ejpam-6216	190	12	ζ	ζ	NOUN
ejpam-6216	190	13	0.3	0.3	NUM
ejpam-6216	190	14	0.5	0.5	NUM
ejpam-6216	190	15	1	1	NUM
ejpam-6216	190	16	table	table	NOUN
ejpam-6216	190	17	2	2	NUM
ejpam-6216	190	18	:	:	PUNCT
ejpam-6216	190	19	υ+	υ+	X
ejpam-6216	190	20	of	of	ADP
ejpam-6216	190	21	relation	relation	NOUN
ejpam-6216	190	22	υ	υ	PROPN
ejpam-6216	190	23	υ−	υ−	PROPN
ejpam-6216	190	24	ϵ	ϵ	PROPN
ejpam-6216	190	25	η	η	PROPN
ejpam-6216	190	26	ζ	ζ	X
ejpam-6216	190	27	ϵ	ϵ	SYM
ejpam-6216	190	28	−1	−1	NOUN
ejpam-6216	190	29	−0.1	−0.1	PROPN
ejpam-6216	190	30	−0.4	−0.4	NUM
ejpam-6216	191	1	η	η	PROPN
ejpam-6216	191	2	−0.1	−0.1	PROPN
ejpam-6216	191	3	−1	−1	NOUN
ejpam-6216	191	4	−0.2	−0.2	PROPN
ejpam-6216	191	5	ζ	ζ	PROPN
ejpam-6216	191	6	−0.4	−0.4	NUM
ejpam-6216	191	7	−0.2	−0.2	PROPN
ejpam-6216	191	8	−1	−1	NOUN
ejpam-6216	191	9	table	table	NOUN
ejpam-6216	191	10	3	3	NUM
ejpam-6216	191	11	:	:	PUNCT
ejpam-6216	191	12	υ−	υ−	PROPN
ejpam-6216	191	13	of	of	ADP
ejpam-6216	191	14	relation	relation	NOUN
ejpam-6216	191	15	υ	υ	PROPN
ejpam-6216	191	16	let	let	VERB
ejpam-6216	191	17	w	w	VERB
ejpam-6216	191	18	=	=	PRON
ejpam-6216	191	19	{	{	PUNCT
ejpam-6216	191	20	(	(	PUNCT
ejpam-6216	191	21	ϵ	ϵ	NOUN
ejpam-6216	191	22	,	,	PUNCT
ejpam-6216	191	23	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	191	24	)	)	PUNCT
ejpam-6216	191	25	,	,	PUNCT
ejpam-6216	191	26	(	(	PUNCT
ejpam-6216	191	27	η	η	PROPN
ejpam-6216	191	28	,	,	PUNCT
ejpam-6216	191	29	0.3,−0.1	0.3,−0.1	NUM
ejpam-6216	191	30	)	)	PUNCT
ejpam-6216	191	31	,	,	PUNCT
ejpam-6216	191	32	(	(	PUNCT
ejpam-6216	191	33	ζ	ζ	NOUN
ejpam-6216	191	34	,	,	PUNCT
ejpam-6216	191	35	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	191	36	)	)	PUNCT
ejpam-6216	191	37	}	}	PUNCT
ejpam-6216	191	38	be	be	AUX
ejpam-6216	191	39	a	a	DET
ejpam-6216	191	40	bfs	bfs	NOUN
ejpam-6216	191	41	on	on	ADP
ejpam-6216	191	42	x.	x.	PROPN
ejpam-6216	191	43	then	then	ADV
ejpam-6216	191	44	the	the	DET
ejpam-6216	191	45	lower	low	ADJ
ejpam-6216	191	46	approximation	approximation	NOUN
ejpam-6216	191	47	of	of	ADP
ejpam-6216	191	48	w	w	NOUN
ejpam-6216	191	49	with	with	ADP
ejpam-6216	191	50	respect	respect	NOUN
ejpam-6216	191	51	to	to	ADP
ejpam-6216	191	52	υ	υ	NOUN
ejpam-6216	191	53	is	be	AUX
ejpam-6216	191	54	given	give	VERB
ejpam-6216	191	55	by	by	ADP
ejpam-6216	191	56	:	:	PUNCT
ejpam-6216	191	57	υw	υw	NOUN
ejpam-6216	191	58	=	=	PUNCT
ejpam-6216	191	59	{	{	PUNCT
ejpam-6216	191	60	(	(	PUNCT
ejpam-6216	191	61	ϵ	ϵ	NOUN
ejpam-6216	191	62	,	,	PUNCT
ejpam-6216	191	63	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	191	64	)	)	PUNCT
ejpam-6216	191	65	,	,	PUNCT
ejpam-6216	191	66	(	(	PUNCT
ejpam-6216	191	67	η	η	PROPN
ejpam-6216	191	68	,	,	PUNCT
ejpam-6216	191	69	0.3,−0.1	0.3,−0.1	NUM
ejpam-6216	191	70	)	)	PUNCT
ejpam-6216	191	71	,	,	PUNCT
ejpam-6216	191	72	(	(	PUNCT
ejpam-6216	191	73	ζ	ζ	NOUN
ejpam-6216	191	74	,	,	PUNCT
ejpam-6216	191	75	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	191	76	)	)	PUNCT
ejpam-6216	191	77	}	}	PUNCT
ejpam-6216	191	78	the	the	DET
ejpam-6216	191	79	upper	upper	ADJ
ejpam-6216	191	80	approximation	approximation	NOUN
ejpam-6216	191	81	υ	υ	NOUN
ejpam-6216	191	82	is	be	AUX
ejpam-6216	191	83	given	give	VERB
ejpam-6216	191	84	by	by	ADP
ejpam-6216	191	85	:	:	PUNCT
ejpam-6216	191	86	υw	υw	NOUN
ejpam-6216	191	87	=	=	PUNCT
ejpam-6216	191	88	{	{	PUNCT
ejpam-6216	191	89	(	(	PUNCT
ejpam-6216	191	90	ϵ	ϵ	NOUN
ejpam-6216	191	91	,	,	PUNCT
ejpam-6216	191	92	0.2,−0.3	0.2,−0.3	NUM
ejpam-6216	191	93	)	)	PUNCT
ejpam-6216	191	94	,	,	PUNCT
ejpam-6216	191	95	(	(	PUNCT
ejpam-6216	191	96	η	η	PROPN
ejpam-6216	191	97	,	,	PUNCT
ejpam-6216	191	98	0.3,−0.2	0.3,−0.2	NUM
ejpam-6216	191	99	)	)	PUNCT
ejpam-6216	191	100	,	,	PUNCT
ejpam-6216	191	101	(	(	PUNCT
ejpam-6216	191	102	ζ	ζ	NOUN
ejpam-6216	191	103	,	,	PUNCT
ejpam-6216	191	104	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	191	105	)	)	PUNCT
ejpam-6216	191	106	}	}	PUNCT
ejpam-6216	191	107	since	since	SCONJ
ejpam-6216	191	108	υw	υw	ADJ
ejpam-6216	191	109	−υw	−υw	VERB
ejpam-6216	191	110	̸=	̸=	PROPN
ejpam-6216	191	111	∅	∅	NOUN
ejpam-6216	191	112	,	,	PUNCT
ejpam-6216	191	113	therefore	therefore	ADV
ejpam-6216	191	114	,	,	PUNCT
ejpam-6216	191	115	(	(	PUNCT
ejpam-6216	191	116	υw	υw	ADJ
ejpam-6216	191	117	,	,	PUNCT
ejpam-6216	191	118	υw	υw	NOUN
ejpam-6216	191	119	)	)	PUNCT
ejpam-6216	191	120	is	be	AUX
ejpam-6216	191	121	a	a	DET
ejpam-6216	191	122	bfrs	bfrs	NOUN
ejpam-6216	191	123	.	.	PUNCT
ejpam-6216	192	1	let	let	VERB
ejpam-6216	192	2	l	l	NOUN
ejpam-6216	192	3	=	=	SYM
ejpam-6216	192	4	(	(	PUNCT
ejpam-6216	192	5	l+	l+	PROPN
ejpam-6216	192	6	,	,	PUNCT
ejpam-6216	192	7	l−	l−	PROPN
ejpam-6216	192	8	)	)	PUNCT
ejpam-6216	192	9	be	be	VERB
ejpam-6216	192	10	a	a	DET
ejpam-6216	192	11	bftr	bftr	NOUN
ejpam-6216	192	12	on	on	ADP
ejpam-6216	192	13	a	a	DET
ejpam-6216	192	14	⊆	⊆	NUM
ejpam-6216	192	15	x	x	SYM
ejpam-6216	192	16	×x	×x	ADV
ejpam-6216	192	17	and	and	CCONJ
ejpam-6216	192	18	defined	define	VERB
ejpam-6216	192	19	in	in	ADP
ejpam-6216	192	20	the	the	DET
ejpam-6216	192	21	tables	table	NOUN
ejpam-6216	192	22	4	4	NUM
ejpam-6216	192	23	and	and	CCONJ
ejpam-6216	192	24	5	5	NUM
ejpam-6216	192	25	:	:	PUNCT
ejpam-6216	192	26	a.	a.	PROPN
ejpam-6216	192	27	arif	arif	PROPN
ejpam-6216	192	28	et	et	PROPN
ejpam-6216	192	29	al	al	PROPN
ejpam-6216	192	30	.	.	PUNCT
ejpam-6216	192	31	/	/	SYM
ejpam-6216	192	32	eur	eur	PROPN
ejpam-6216	192	33	.	.	PUNCT
ejpam-6216	193	1	j.	j.	PROPN
ejpam-6216	193	2	pure	pure	PROPN
ejpam-6216	193	3	appl	appl	PROPN
ejpam-6216	193	4	.	.	PROPN
ejpam-6216	193	5	math	math	PROPN
ejpam-6216	193	6	,	,	PUNCT
ejpam-6216	193	7	18	18	NUM
ejpam-6216	193	8	(	(	PUNCT
ejpam-6216	193	9	4	4	NUM
ejpam-6216	193	10	)	)	PUNCT
ejpam-6216	193	11	(	(	PUNCT
ejpam-6216	193	12	2025	2025	NUM
ejpam-6216	193	13	)	)	PUNCT
ejpam-6216	193	14	,	,	PUNCT
ejpam-6216	193	15	6216	6216	NUM
ejpam-6216	193	16	10	10	NUM
ejpam-6216	193	17	of	of	ADP
ejpam-6216	193	18	36	36	NUM
ejpam-6216	193	19	l+	l+	NOUN
ejpam-6216	193	20	ϵϵ	ϵϵ	INTJ
ejpam-6216	194	1	ϵη	ϵη	INTJ
ejpam-6216	194	2	ηζ	ηζ	VERB
ejpam-6216	194	3	ϵζ	ϵζ	ADP
ejpam-6216	194	4	ϵϵ	ϵϵ	INTJ
ejpam-6216	195	1	1	1	NUM
ejpam-6216	195	2	0.1	0.1	NUM
ejpam-6216	195	3	0.1	0.1	NUM
ejpam-6216	195	4	0.2	0.2	NUM
ejpam-6216	195	5	ϵη	ϵη	NUM
ejpam-6216	195	6	0.1	0.1	NUM
ejpam-6216	195	7	1	1	NUM
ejpam-6216	195	8	0.05	0.05	NUM
ejpam-6216	195	9	0.02	0.02	NUM
ejpam-6216	195	10	ηζ	ηζ	ADP
ejpam-6216	195	11	0.1	0.1	NUM
ejpam-6216	195	12	0.05	0.05	NUM
ejpam-6216	195	13	1	1	NUM
ejpam-6216	195	14	0.03	0.03	NUM
ejpam-6216	195	15	ϵζ	ϵζ	ADP
ejpam-6216	195	16	0.2	0.2	NUM
ejpam-6216	195	17	0.02	0.02	NUM
ejpam-6216	195	18	0.03	0.03	NUM
ejpam-6216	195	19	1	1	NUM
ejpam-6216	195	20	table	table	NOUN
ejpam-6216	195	21	4	4	NUM
ejpam-6216	195	22	:	:	PUNCT
ejpam-6216	195	23	l−	l−	NOUN
ejpam-6216	195	24	of	of	ADP
ejpam-6216	195	25	relation	relation	NOUN
ejpam-6216	195	26	l	l	PROPN
ejpam-6216	196	1	l−	l−	NOUN
ejpam-6216	197	1	ϵϵ	ϵϵ	INTJ
ejpam-6216	197	2	ϵη	ϵη	INTJ
ejpam-6216	198	1	ηζ	ηζ	VERB
ejpam-6216	198	2	ϵζ	ϵζ	ADP
ejpam-6216	198	3	ϵϵ	ϵϵ	X
ejpam-6216	198	4	−1	−1	NOUN
ejpam-6216	198	5	−0.1	−0.1	NOUN
ejpam-6216	198	6	−0.05	−0.05	NOUN
ejpam-6216	198	7	−0.3	−0.3	PROPN
ejpam-6216	199	1	ϵη	ϵη	ADP
ejpam-6216	199	2	−0.1	−0.1	PROPN
ejpam-6216	199	3	−1	−1	NOUN
ejpam-6216	199	4	−0.1	−0.1	X
ejpam-6216	199	5	−0.1	−0.1	X
ejpam-6216	199	6	ηζ	ηζ	ADP
ejpam-6216	199	7	−0.05	−0.05	ADJ
ejpam-6216	199	8	−0.1	−0.1	X
ejpam-6216	199	9	−1	−1	NOUN
ejpam-6216	199	10	−0.05	−0.05	ADV
ejpam-6216	199	11	ϵζ	ϵζ	ADP
ejpam-6216	199	12	−0.3	−0.3	PROPN
ejpam-6216	199	13	−0.1	−0.1	PUNCT
ejpam-6216	199	14	−0.05	−0.05	NOUN
ejpam-6216	199	15	−1	−1	NOUN
ejpam-6216	199	16	table	table	NOUN
ejpam-6216	199	17	5	5	NUM
ejpam-6216	199	18	:	:	PUNCT
ejpam-6216	199	19	l−	l−	NOUN
ejpam-6216	199	20	of	of	ADP
ejpam-6216	199	21	relation	relation	NOUN
ejpam-6216	199	22	l	l	PROPN
ejpam-6216	199	23	let	let	VERB
ejpam-6216	199	24	λ	λ	X
ejpam-6216	199	25	=	=	PRON
ejpam-6216	199	26	(	(	PUNCT
ejpam-6216	199	27	λ+,λ−	λ+,λ−	PROPN
ejpam-6216	199	28	)	)	PUNCT
ejpam-6216	199	29	be	be	AUX
ejpam-6216	199	30	a	a	DET
ejpam-6216	199	31	bfs	bfs	NOUN
ejpam-6216	199	32	on	on	ADP
ejpam-6216	199	33	a	a	PRON
ejpam-6216	199	34	defined	define	VERB
ejpam-6216	199	35	by	by	ADP
ejpam-6216	199	36	:	:	PUNCT
ejpam-6216	199	37	λ	λ	SYM
ejpam-6216	199	38	=	=	PRON
ejpam-6216	199	39	{	{	PUNCT
ejpam-6216	199	40	(	(	PUNCT
ejpam-6216	199	41	ϵϵ	ϵϵ	INTJ
ejpam-6216	199	42	,	,	PUNCT
ejpam-6216	199	43	0.2.−	0.2.−	NOUN
ejpam-6216	199	44	0.2	0.2	NUM
ejpam-6216	199	45	)	)	PUNCT
ejpam-6216	199	46	,	,	PUNCT
ejpam-6216	199	47	(	(	PUNCT
ejpam-6216	199	48	ϵη	ϵη	INTJ
ejpam-6216	199	49	,	,	PUNCT
ejpam-6216	199	50	0.1,−0.1	0.1,−0.1	NOUN
ejpam-6216	199	51	)	)	PUNCT
ejpam-6216	199	52	,	,	PUNCT
ejpam-6216	199	53	(	(	PUNCT
ejpam-6216	199	54	ηζ	ηζ	NOUN
ejpam-6216	199	55	,	,	PUNCT
ejpam-6216	199	56	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	199	57	)	)	PUNCT
ejpam-6216	199	58	,	,	PUNCT
ejpam-6216	199	59	(	(	PUNCT
ejpam-6216	199	60	ϵζ	ϵζ	INTJ
ejpam-6216	199	61	,	,	PUNCT
ejpam-6216	199	62	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	199	63	)	)	PUNCT
ejpam-6216	199	64	}	}	PUNCT
ejpam-6216	199	65	the	the	DET
ejpam-6216	199	66	set	set	NOUN
ejpam-6216	199	67	of	of	ADP
ejpam-6216	199	68	lower	low	ADJ
ejpam-6216	199	69	approximation	approximation	NOUN
ejpam-6216	199	70	of	of	ADP
ejpam-6216	199	71	λ	λ	PROPN
ejpam-6216	199	72	is	be	AUX
ejpam-6216	199	73	:	:	PUNCT
ejpam-6216	199	74	lλ	lλ	INTJ
ejpam-6216	199	75	=	=	SYM
ejpam-6216	199	76	{	{	PUNCT
ejpam-6216	199	77	(	(	PUNCT
ejpam-6216	199	78	ϵϵ	ϵϵ	INTJ
ejpam-6216	199	79	,	,	PUNCT
ejpam-6216	199	80	0.2,−0.2	0.2,−0.2	NUM
ejpam-6216	199	81	)	)	PUNCT
ejpam-6216	199	82	,	,	PUNCT
ejpam-6216	199	83	(	(	PUNCT
ejpam-6216	199	84	ϵη	ϵη	INTJ
ejpam-6216	199	85	,	,	PUNCT
ejpam-6216	199	86	0.1,−0.1	0.1,−0.1	NOUN
ejpam-6216	199	87	)	)	PUNCT
ejpam-6216	199	88	,	,	PUNCT
ejpam-6216	199	89	(	(	PUNCT
ejpam-6216	199	90	ηζ	ηζ	NOUN
ejpam-6216	199	91	,	,	PUNCT
ejpam-6216	199	92	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	199	93	)	)	PUNCT
ejpam-6216	199	94	,	,	PUNCT
ejpam-6216	199	95	(	(	PUNCT
ejpam-6216	199	96	ϵζ	ϵζ	INTJ
ejpam-6216	199	97	,	,	PUNCT
ejpam-6216	199	98	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	199	99	)	)	PUNCT
ejpam-6216	199	100	}	}	PUNCT
ejpam-6216	199	101	the	the	DET
ejpam-6216	199	102	set	set	NOUN
ejpam-6216	199	103	of	of	ADP
ejpam-6216	199	104	upper	upper	ADJ
ejpam-6216	199	105	approximation	approximation	NOUN
ejpam-6216	199	106	of	of	ADP
ejpam-6216	199	107	λ	λ	PROPN
ejpam-6216	199	108	is	be	AUX
ejpam-6216	199	109	:	:	PUNCT
ejpam-6216	199	110	lλ	lλ	INTJ
ejpam-6216	199	111	=	=	SYM
ejpam-6216	199	112	{	{	PUNCT
ejpam-6216	199	113	(	(	PUNCT
ejpam-6216	199	114	ϵϵ	ϵϵ	INTJ
ejpam-6216	199	115	,	,	PUNCT
ejpam-6216	199	116	0.2,−0.2	0.2,−0.2	NUM
ejpam-6216	199	117	)	)	PUNCT
ejpam-6216	199	118	,	,	PUNCT
ejpam-6216	199	119	(	(	PUNCT
ejpam-6216	199	120	ϵη	ϵη	INTJ
ejpam-6216	199	121	,	,	PUNCT
ejpam-6216	199	122	0.1,−0.1	0.1,−0.1	NOUN
ejpam-6216	199	123	)	)	PUNCT
ejpam-6216	199	124	,	,	PUNCT
ejpam-6216	199	125	(	(	PUNCT
ejpam-6216	199	126	ηζ	ηζ	NOUN
ejpam-6216	199	127	,	,	PUNCT
ejpam-6216	199	128	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	199	129	)	)	PUNCT
ejpam-6216	199	130	,	,	PUNCT
ejpam-6216	199	131	(	(	PUNCT
ejpam-6216	199	132	ϵζ	ϵζ	INTJ
ejpam-6216	199	133	,	,	PUNCT
ejpam-6216	199	134	0.2,−0.2	0.2,−0.2	NUM
ejpam-6216	199	135	)	)	PUNCT
ejpam-6216	199	136	}	}	PUNCT
ejpam-6216	199	137	the	the	DET
ejpam-6216	199	138	graphs	graph	NOUN
ejpam-6216	199	139	of	of	ADP
ejpam-6216	199	140	γ	γ	NOUN
ejpam-6216	199	141	and	and	CCONJ
ejpam-6216	199	142	γ	γ	NOUN
ejpam-6216	199	143	of	of	ADP
ejpam-6216	199	144	γ	γ	NOUN
ejpam-6216	199	145	are	be	AUX
ejpam-6216	199	146	given	give	VERB
ejpam-6216	199	147	in	in	ADP
ejpam-6216	199	148	figure	figure	NOUN
ejpam-6216	199	149	1	1	NUM
ejpam-6216	199	150	:	:	PUNCT
ejpam-6216	199	151	ϵ	ϵ	X
ejpam-6216	199	152	(	(	PUNCT
ejpam-6216	199	153	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	199	154	)	)	PUNCT
ejpam-6216	199	155	η	η	PROPN
ejpam-6216	199	156	(	(	PUNCT
ejpam-6216	199	157	0.3,−0.1	0.3,−0.1	NUM
ejpam-6216	199	158	)	)	PUNCT
ejpam-6216	199	159	ζ	ζ	NOUN
ejpam-6216	199	160	(	(	PUNCT
ejpam-6216	199	161	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	199	162	)	)	PUNCT
ejpam-6216	199	163	(	(	PUNCT
ejpam-6216	199	164	0.1	0.1	NUM
ejpam-6216	199	165	,	,	PUNCT
ejpam-6216	199	166	-0.1	-0.1	PROPN
ejpam-6216	199	167	)	)	PUNCT
ejpam-6216	199	168	(	(	PUNCT
ejpam-6216	199	169	0.1	0.1	NUM
ejpam-6216	199	170	,	,	PUNCT
ejpam-6216	199	171	-0.2	-0.2	NOUN
ejpam-6216	199	172	)	)	PUNCT
ejpam-6216	199	173	(	(	PUNCT
ejpam-6216	199	174	0.2	0.2	NUM
ejpam-6216	199	175	,	,	PUNCT
ejpam-6216	199	176	-0.2	-0.2	NOUN
ejpam-6216	199	177	)	)	PUNCT
ejpam-6216	199	178	(	(	PUNCT
ejpam-6216	199	179	0.2	0.2	NUM
ejpam-6216	199	180	,	,	PUNCT
ejpam-6216	199	181	-0.1	-0.1	PROPN
ejpam-6216	199	182	)	)	PUNCT
ejpam-6216	199	183	γ	γ	NOUN
ejpam-6216	199	184	=	=	SYM
ejpam-6216	199	185	(	(	PUNCT
ejpam-6216	199	186	υw	υw	NOUN
ejpam-6216	199	187	,	,	PUNCT
ejpam-6216	199	188	lλ	lλ	NOUN
ejpam-6216	199	189	)	)	PUNCT
ejpam-6216	199	190	ϵ	ϵ	X
ejpam-6216	199	191	(	(	PUNCT
ejpam-6216	199	192	0.2,−0.3	0.2,−0.3	NUM
ejpam-6216	199	193	)	)	PUNCT
ejpam-6216	199	194	η	η	PROPN
ejpam-6216	199	195	(	(	PUNCT
ejpam-6216	199	196	0.3,−0.2	0.3,−0.2	NOUN
ejpam-6216	199	197	)	)	PUNCT
ejpam-6216	199	198	ζ	ζ	NOUN
ejpam-6216	199	199	(	(	PUNCT
ejpam-6216	199	200	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	199	201	)	)	PUNCT
ejpam-6216	199	202	(	(	PUNCT
ejpam-6216	199	203	0.1	0.1	NUM
ejpam-6216	199	204	,	,	PUNCT
ejpam-6216	199	205	-0.1	-0.1	PROPN
ejpam-6216	199	206	)	)	PUNCT
ejpam-6216	199	207	(	(	PUNCT
ejpam-6216	199	208	0.2	0.2	NUM
ejpam-6216	199	209	,	,	PUNCT
ejpam-6216	199	210	-0.2	-0.2	NOUN
ejpam-6216	199	211	)	)	PUNCT
ejpam-6216	199	212	(	(	PUNCT
ejpam-6216	199	213	0.2	0.2	NUM
ejpam-6216	199	214	,	,	PUNCT
ejpam-6216	199	215	-0.2	-0.2	NOUN
ejpam-6216	199	216	)	)	PUNCT
ejpam-6216	199	217	(	(	PUNCT
ejpam-6216	199	218	0.2	0.2	NUM
ejpam-6216	199	219	,	,	PUNCT
ejpam-6216	199	220	-0.1	-0.1	PROPN
ejpam-6216	199	221	)	)	PUNCT
ejpam-6216	199	222	γ	γ	NOUN
ejpam-6216	199	223	=	=	SYM
ejpam-6216	199	224	(	(	PUNCT
ejpam-6216	199	225	υw	υw	ADJ
ejpam-6216	199	226	,	,	PUNCT
ejpam-6216	199	227	lλ	lλ	NOUN
ejpam-6216	199	228	)	)	PUNCT
ejpam-6216	199	229	figure	figure	NOUN
ejpam-6216	199	230	1	1	NUM
ejpam-6216	199	231	:	:	PUNCT
ejpam-6216	199	232	γ	γ	X
ejpam-6216	199	233	=	=	SYM
ejpam-6216	199	234	(	(	PUNCT
ejpam-6216	199	235	γ	γ	X
ejpam-6216	199	236	,	,	PUNCT
ejpam-6216	199	237	γ	γ	NOUN
ejpam-6216	199	238	)	)	PUNCT
ejpam-6216	199	239	definition	definition	NOUN
ejpam-6216	199	240	11	11	NUM
ejpam-6216	199	241	.	.	PUNCT
ejpam-6216	200	1	the	the	DET
ejpam-6216	200	2	union	union	NOUN
ejpam-6216	200	3	of	of	ADP
ejpam-6216	200	4	two	two	NUM
ejpam-6216	200	5	bfrds	bfrd	NOUN
ejpam-6216	200	6	γ1	γ1	NOUN
ejpam-6216	200	7	=	=	SYM
ejpam-6216	200	8	(	(	PUNCT
ejpam-6216	200	9	γ1,γ1	γ1,γ1	PROPN
ejpam-6216	200	10	)	)	PUNCT
ejpam-6216	200	11	and	and	CCONJ
ejpam-6216	200	12	γ2	γ2	NOUN
ejpam-6216	200	13	=	=	SYM
ejpam-6216	200	14	(	(	PUNCT
ejpam-6216	200	15	γ2,γ2	γ2,γ2	PROPN
ejpam-6216	200	16	)	)	PUNCT
ejpam-6216	200	17	on	on	ADP
ejpam-6216	200	18	universal	universal	ADJ
ejpam-6216	200	19	set	set	NOUN
ejpam-6216	200	20	x	x	PUNCT
ejpam-6216	200	21	is	be	AUX
ejpam-6216	200	22	defined	define	VERB
ejpam-6216	200	23	as	as	ADP
ejpam-6216	200	24	γ1	γ1	NOUN
ejpam-6216	200	25	∪γ2	∪γ2	NOUN
ejpam-6216	200	26	=	=	SYM
ejpam-6216	200	27	(	(	PUNCT
ejpam-6216	200	28	γ1	γ1	PROPN
ejpam-6216	200	29	∪γ2,γ1	∪γ2,γ1	PART
ejpam-6216	200	30	∪γ2	∪γ2	NOUN
ejpam-6216	200	31	)	)	PUNCT
ejpam-6216	200	32	where	where	SCONJ
ejpam-6216	200	33	γ1	γ1	NOUN
ejpam-6216	200	34	∪γ2	∪γ2	NOUN
ejpam-6216	200	35	=	=	PUNCT
ejpam-6216	201	1	(	(	PUNCT
ejpam-6216	201	2	υw1	υw1	PROPN
ejpam-6216	201	3	∪υw2	∪υw2	PROPN
ejpam-6216	201	4	,	,	PUNCT
ejpam-6216	201	5	lλ1	lλ1	NOUN
ejpam-6216	201	6	∪lλ2	∪lλ2	NOUN
ejpam-6216	201	7	)	)	PUNCT
ejpam-6216	201	8	and	and	CCONJ
ejpam-6216	201	9	γ1	γ1	PROPN
ejpam-6216	201	10	∪	∪	VERB
ejpam-6216	201	11	γ2	γ2	PROPN
ejpam-6216	201	12	=	=	SYM
ejpam-6216	201	13	(	(	PUNCT
ejpam-6216	201	14	υw1	υw1	PROPN
ejpam-6216	201	15	∪υw2	∪υw2	PROPN
ejpam-6216	201	16	,	,	PUNCT
ejpam-6216	201	17	lλ1	lλ1	NOUN
ejpam-6216	201	18	∪	∪	X
ejpam-6216	201	19	lλ2	lλ2	NOUN
ejpam-6216	201	20	)	)	PUNCT
ejpam-6216	201	21	such	such	ADJ
ejpam-6216	201	22	that	that	SCONJ
ejpam-6216	201	23	:	:	PUNCT
ejpam-6216	201	24	(	(	PUNCT
ejpam-6216	201	25	υw1	υw1	NOUN
ejpam-6216	201	26	∪υw2)(x	∪υw2)(x	NOUN
ejpam-6216	201	27	)	)	PUNCT
ejpam-6216	201	28	=	=	PRON
ejpam-6216	201	29	{	{	PUNCT
ejpam-6216	201	30	υw+	υw+	ADJ
ejpam-6216	201	31	1	1	NUM
ejpam-6216	201	32	(	(	PUNCT
ejpam-6216	201	33	x	x	NOUN
ejpam-6216	201	34	)	)	PUNCT
ejpam-6216	201	35	∨υw+	∨υw+	ADJ
ejpam-6216	201	36	2	2	NUM
ejpam-6216	201	37	(	(	PUNCT
ejpam-6216	201	38	x	x	NOUN
ejpam-6216	201	39	)	)	PUNCT
ejpam-6216	201	40	υw−	υw−	SYM
ejpam-6216	201	41	1	1	NUM
ejpam-6216	201	42	(	(	PUNCT
ejpam-6216	201	43	x	x	NOUN
ejpam-6216	201	44	)	)	PUNCT
ejpam-6216	201	45	∧υw−	∧υw−	NOUN
ejpam-6216	201	46	2	2	NUM
ejpam-6216	201	47	(	(	PUNCT
ejpam-6216	201	48	x	x	NOUN
ejpam-6216	201	49	)	)	PUNCT
ejpam-6216	201	50	,	,	PUNCT
ejpam-6216	201	51	∀x	∀x	X
ejpam-6216	201	52	∈	∈	PROPN
ejpam-6216	201	53	supp(w1	supp(w1	NOUN
ejpam-6216	201	54	∪w2	∪w2	NOUN
ejpam-6216	201	55	)	)	PUNCT
ejpam-6216	201	56	a.	a.	PROPN
ejpam-6216	201	57	arif	arif	PROPN
ejpam-6216	201	58	et	et	PROPN
ejpam-6216	201	59	al	al	PROPN
ejpam-6216	201	60	.	.	PUNCT
ejpam-6216	201	61	/	/	SYM
ejpam-6216	201	62	eur	eur	PROPN
ejpam-6216	201	63	.	.	PUNCT
ejpam-6216	202	1	j.	j.	PROPN
ejpam-6216	202	2	pure	pure	PROPN
ejpam-6216	202	3	appl	appl	PROPN
ejpam-6216	202	4	.	.	PROPN
ejpam-6216	202	5	math	math	PROPN
ejpam-6216	202	6	,	,	PUNCT
ejpam-6216	202	7	18	18	NUM
ejpam-6216	202	8	(	(	PUNCT
ejpam-6216	202	9	4	4	NUM
ejpam-6216	202	10	)	)	PUNCT
ejpam-6216	202	11	(	(	PUNCT
ejpam-6216	202	12	2025	2025	NUM
ejpam-6216	202	13	)	)	PUNCT
ejpam-6216	202	14	,	,	PUNCT
ejpam-6216	202	15	6216	6216	NUM
ejpam-6216	202	16	11	11	NUM
ejpam-6216	202	17	of	of	ADP
ejpam-6216	202	18	36	36	NUM
ejpam-6216	202	19	(	(	PUNCT
ejpam-6216	202	20	υw1	υw1	NOUN
ejpam-6216	202	21	∪υw2)(x	∪υw2)(x	PROPN
ejpam-6216	202	22	)	)	PUNCT
ejpam-6216	202	23	=	=	PRON
ejpam-6216	202	24	{	{	PUNCT
ejpam-6216	202	25	υw+	υw+	ADJ
ejpam-6216	202	26	1	1	NUM
ejpam-6216	202	27	(	(	PUNCT
ejpam-6216	202	28	x	x	NOUN
ejpam-6216	202	29	)	)	PUNCT
ejpam-6216	202	30	∨υw+	∨υw+	ADJ
ejpam-6216	202	31	2	2	NUM
ejpam-6216	202	32	(	(	PUNCT
ejpam-6216	202	33	x	x	NOUN
ejpam-6216	202	34	)	)	PUNCT
ejpam-6216	202	35	υw−	υw−	SYM
ejpam-6216	202	36	1	1	NUM
ejpam-6216	202	37	(	(	PUNCT
ejpam-6216	202	38	x	x	NOUN
ejpam-6216	202	39	)	)	PUNCT
ejpam-6216	202	40	∧υw−	∧υw−	NOUN
ejpam-6216	202	41	2	2	NUM
ejpam-6216	202	42	(	(	PUNCT
ejpam-6216	202	43	x	x	NOUN
ejpam-6216	202	44	)	)	PUNCT
ejpam-6216	202	45	,	,	PUNCT
ejpam-6216	202	46	∀x	∀x	X
ejpam-6216	202	47	∈	∈	PROPN
ejpam-6216	202	48	supp(w1	supp(w1	NOUN
ejpam-6216	202	49	∪w2	∪w2	NOUN
ejpam-6216	202	50	)	)	PUNCT
ejpam-6216	202	51	(	(	PUNCT
ejpam-6216	202	52	lλ1	lλ1	NOUN
ejpam-6216	202	53	∪	∪	NOUN
ejpam-6216	202	54	lλ2)(xy	lλ2)(xy	NOUN
ejpam-6216	202	55	)	)	PUNCT
ejpam-6216	202	56	=	=	PRON
ejpam-6216	202	57	{	{	PUNCT
ejpam-6216	202	58	lλ+	lλ+	PROPN
ejpam-6216	202	59	1	1	NUM
ejpam-6216	202	60	(	(	PUNCT
ejpam-6216	202	61	xy	xy	PROPN
ejpam-6216	202	62	)	)	PUNCT
ejpam-6216	202	63	∨	∨	PROPN
ejpam-6216	202	64	lλ+	lλ+	NOUN
ejpam-6216	202	65	2	2	NUM
ejpam-6216	202	66	(	(	PUNCT
ejpam-6216	202	67	xy	xy	NOUN
ejpam-6216	202	68	)	)	PUNCT
ejpam-6216	202	69	lλ−	lλ−	X
ejpam-6216	202	70	1	1	NUM
ejpam-6216	202	71	(	(	PUNCT
ejpam-6216	202	72	xy	xy	NOUN
ejpam-6216	202	73	)	)	PUNCT
ejpam-6216	202	74	∧	∧	PROPN
ejpam-6216	202	75	lλ−	lλ−	PUNCT
ejpam-6216	202	76	2	2	NUM
ejpam-6216	202	77	(	(	PUNCT
ejpam-6216	202	78	xy	xy	NOUN
ejpam-6216	202	79	)	)	PUNCT
ejpam-6216	202	80	,	,	PUNCT
ejpam-6216	202	81	∀xy	∀xy	PROPN
ejpam-6216	202	82	∈	∈	PROPN
ejpam-6216	202	83	supp(λ1	supp(λ1	NOUN
ejpam-6216	202	84	∪	∪	ADJ
ejpam-6216	202	85	λ2	λ2	PROPN
ejpam-6216	202	86	)	)	PUNCT
ejpam-6216	202	87	(	(	PUNCT
ejpam-6216	202	88	lλ1	lλ1	NOUN
ejpam-6216	202	89	∪	∪	NOUN
ejpam-6216	202	90	lλ2)(xy	lλ2)(xy	NOUN
ejpam-6216	202	91	)	)	PUNCT
ejpam-6216	202	92	=	=	PRON
ejpam-6216	202	93	{	{	PUNCT
ejpam-6216	202	94	lλ+	lλ+	PROPN
ejpam-6216	202	95	1	1	NUM
ejpam-6216	202	96	(	(	PUNCT
ejpam-6216	202	97	xy	xy	PROPN
ejpam-6216	202	98	)	)	PUNCT
ejpam-6216	202	99	∨	∨	PROPN
ejpam-6216	202	100	lλ+	lλ+	NOUN
ejpam-6216	202	101	2	2	NUM
ejpam-6216	202	102	(	(	PUNCT
ejpam-6216	202	103	xy	xy	NOUN
ejpam-6216	202	104	)	)	PUNCT
ejpam-6216	202	105	lλ−	lλ−	X
ejpam-6216	202	106	1	1	NUM
ejpam-6216	202	107	(	(	PUNCT
ejpam-6216	202	108	xy	xy	NOUN
ejpam-6216	202	109	)	)	PUNCT
ejpam-6216	202	110	∧	∧	PROPN
ejpam-6216	202	111	lλ−	lλ−	PUNCT
ejpam-6216	202	112	2	2	NUM
ejpam-6216	202	113	(	(	PUNCT
ejpam-6216	202	114	xy	xy	NOUN
ejpam-6216	202	115	)	)	PUNCT
ejpam-6216	202	116	,	,	PUNCT
ejpam-6216	202	117	∀xy	∀xy	PROPN
ejpam-6216	202	118	∈	∈	PROPN
ejpam-6216	202	119	supp(λ1	supp(λ1	NOUN
ejpam-6216	202	120	∪	∪	ADJ
ejpam-6216	202	121	λ2	λ2	PROPN
ejpam-6216	202	122	)	)	PUNCT
ejpam-6216	202	123	definition	definition	NOUN
ejpam-6216	202	124	12	12	NUM
ejpam-6216	202	125	.	.	PUNCT
ejpam-6216	203	1	let	let	VERB
ejpam-6216	203	2	γ	γ	X
ejpam-6216	203	3	=	=	SYM
ejpam-6216	203	4	(	(	PUNCT
ejpam-6216	203	5	γ	γ	X
ejpam-6216	203	6	,	,	PUNCT
ejpam-6216	203	7	γ	γ	NOUN
ejpam-6216	203	8	)	)	PUNCT
ejpam-6216	203	9	be	be	VERB
ejpam-6216	203	10	a	a	DET
ejpam-6216	203	11	bfrd	bfrd	NOUN
ejpam-6216	203	12	on	on	ADP
ejpam-6216	203	13	a	a	DET
ejpam-6216	203	14	universal	universal	ADJ
ejpam-6216	203	15	set	set	NOUN
ejpam-6216	203	16	x	x	PUNCT
ejpam-6216	203	17	then	then	ADV
ejpam-6216	203	18	p	p	X
ejpam-6216	203	19	:	:	PUNCT
ejpam-6216	203	20	ϵ0	ϵ0	ADJ
ejpam-6216	203	21	→	→	SYM
ejpam-6216	203	22	ϵ1	ϵ1	NOUN
ejpam-6216	203	23	→	→	SYM
ejpam-6216	203	24	·	·	PUNCT
ejpam-6216	203	25	·	·	PUNCT
ejpam-6216	203	26	·	·	PUNCT
ejpam-6216	204	1	→	→	PUNCT
ejpam-6216	204	2	ϵn	ϵn	X
ejpam-6216	204	3	is	be	AUX
ejpam-6216	204	4	a	a	DET
ejpam-6216	204	5	directed	direct	VERB
ejpam-6216	204	6	path	path	NOUN
ejpam-6216	204	7	of	of	ADP
ejpam-6216	204	8	length	length	NOUN
ejpam-6216	204	9	n	n	CCONJ
ejpam-6216	204	10	from	from	ADP
ejpam-6216	204	11	a	a	DET
ejpam-6216	204	12	=	=	PUNCT
ejpam-6216	204	13	ϵ0	ϵ0	NOUN
ejpam-6216	204	14	to	to	ADP
ejpam-6216	204	15	b	b	NOUN
ejpam-6216	204	16	=	=	NOUN
ejpam-6216	204	17	ϵn	ϵn	ADJ
ejpam-6216	204	18	in	in	ADP
ejpam-6216	204	19	γ	γ	NOUN
ejpam-6216	204	20	and	and	CCONJ
ejpam-6216	204	21	γ	γ	PROPN
ejpam-6216	204	22	where	where	SCONJ
ejpam-6216	204	23	(	(	PUNCT
ejpam-6216	204	24	lλ+(ϵi−1	lλ+(ϵi−1	PROPN
ejpam-6216	204	25	,	,	PUNCT
ejpam-6216	204	26	ϵi	ϵi	NOUN
ejpam-6216	204	27	)	)	PUNCT
ejpam-6216	204	28	>	>	X
ejpam-6216	204	29	0	0	NUM
ejpam-6216	204	30	,	,	PUNCT
ejpam-6216	204	31	lλ−(ϵi−1	lλ−(ϵi−1	PROPN
ejpam-6216	204	32	,	,	PUNCT
ejpam-6216	204	33	ϵi	ϵi	PROPN
ejpam-6216	204	34	)	)	PUNCT
ejpam-6216	204	35	<	<	X
ejpam-6216	204	36	0	0	NUM
ejpam-6216	204	37	)	)	PUNCT
ejpam-6216	204	38	and	and	CCONJ
ejpam-6216	204	39	(	(	PUNCT
ejpam-6216	204	40	lλ+(ϵi−1	lλ+(ϵi−1	PROPN
ejpam-6216	204	41	,	,	PUNCT
ejpam-6216	204	42	ϵi	ϵi	NOUN
ejpam-6216	204	43	)	)	PUNCT
ejpam-6216	204	44	>	>	X
ejpam-6216	204	45	0	0	NUM
ejpam-6216	204	46	,	,	PUNCT
ejpam-6216	204	47	lλ−(ϵi−1	lλ−(ϵi−1	PROPN
ejpam-6216	204	48	,	,	PUNCT
ejpam-6216	204	49	ϵi	ϵi	PROPN
ejpam-6216	204	50	)	)	PUNCT
ejpam-6216	204	51	<	<	X
ejpam-6216	204	52	0	0	NUM
ejpam-6216	204	53	)	)	PUNCT
ejpam-6216	204	54	for	for	ADP
ejpam-6216	204	55	i	i	PROPN
ejpam-6216	204	56	=	=	SYM
ejpam-6216	204	57	1	1	NUM
ejpam-6216	204	58	,	,	PUNCT
ejpam-6216	204	59	2	2	NUM
ejpam-6216	204	60	,	,	PUNCT
ejpam-6216	204	61	..	..	PUNCT
ejpam-6216	204	62	,	,	PUNCT
ejpam-6216	204	63	n	n	CCONJ
ejpam-6216	204	64	then	then	ADV
ejpam-6216	204	65	:	:	PUNCT
ejpam-6216	204	66	[	[	PUNCT
ejpam-6216	204	67	lλ+(a	lλ+(a	NOUN
ejpam-6216	204	68	,	,	PUNCT
ejpam-6216	204	69	b	b	NOUN
ejpam-6216	204	70	)	)	PUNCT
ejpam-6216	204	71	]	]	PUNCT
ejpam-6216	204	72	n	n	X
ejpam-6216	204	73	=	=	SYM
ejpam-6216	204	74	∧	∧	PROPN
ejpam-6216	204	75	[	[	X
ejpam-6216	204	76	lλ+(a	lλ+(a	NOUN
ejpam-6216	204	77	,	,	PUNCT
ejpam-6216	204	78	ϵ1	ϵ1	ADJ
ejpam-6216	204	79	)	)	PUNCT
ejpam-6216	204	80	,	,	PUNCT
ejpam-6216	204	81	lλ	lλ	X
ejpam-6216	205	1	+	+	ADJ
ejpam-6216	205	2	(	(	PUNCT
ejpam-6216	205	3	ϵ1	ϵ1	ADJ
ejpam-6216	205	4	,	,	PUNCT
ejpam-6216	205	5	ϵ2	ϵ2	ADJ
ejpam-6216	205	6	)	)	PUNCT
ejpam-6216	205	7	,	,	PUNCT
ejpam-6216	205	8	.	.	PUNCT
ejpam-6216	205	9	.	.	PUNCT
ejpam-6216	206	1	.	.	PUNCT
ejpam-6216	207	1	,	,	PUNCT
ejpam-6216	207	2	lλ	lλ	INTJ
ejpam-6216	208	1	+	+	ADJ
ejpam-6216	208	2	(	(	PUNCT
ejpam-6216	208	3	ϵn−1	ϵn−1	ADJ
ejpam-6216	208	4	,	,	PUNCT
ejpam-6216	208	5	b	b	NOUN
ejpam-6216	208	6	)	)	PUNCT
ejpam-6216	208	7	]	]	X
ejpam-6216	208	8	[	[	PUNCT
ejpam-6216	208	9	lλ−(a	lλ−(a	PROPN
ejpam-6216	208	10	,	,	PUNCT
ejpam-6216	208	11	b	b	NOUN
ejpam-6216	208	12	)	)	PUNCT
ejpam-6216	208	13	]	]	PUNCT
ejpam-6216	208	14	n	n	X
ejpam-6216	208	15	=	=	SYM
ejpam-6216	208	16	∨	∨	NOUN
ejpam-6216	208	17	[	[	X
ejpam-6216	208	18	lλ−(a	lλ−(a	NOUN
ejpam-6216	208	19	,	,	PUNCT
ejpam-6216	208	20	ϵ1	ϵ1	ADJ
ejpam-6216	208	21	)	)	PUNCT
ejpam-6216	208	22	,	,	PUNCT
ejpam-6216	208	23	lλ	lλ	NOUN
ejpam-6216	208	24	−(ϵ1	−(ϵ1	ADJ
ejpam-6216	208	25	,	,	PUNCT
ejpam-6216	208	26	ϵ2	ϵ2	ADJ
ejpam-6216	208	27	)	)	PUNCT
ejpam-6216	208	28	,	,	PUNCT
ejpam-6216	208	29	.	.	PUNCT
ejpam-6216	208	30	.	.	PUNCT
ejpam-6216	208	31	.	.	PUNCT
ejpam-6216	209	1	,	,	PUNCT
ejpam-6216	209	2	lλ	lλ	X
ejpam-6216	210	1	−(ϵn−1	−(ϵn−1	ADV
ejpam-6216	210	2	,	,	PUNCT
ejpam-6216	210	3	b	b	NOUN
ejpam-6216	210	4	)	)	PUNCT
ejpam-6216	210	5	]	]	X
ejpam-6216	210	6	[	[	PUNCT
ejpam-6216	210	7	lλ+(a	lλ+(a	PROPN
ejpam-6216	210	8	,	,	PUNCT
ejpam-6216	210	9	b	b	NOUN
ejpam-6216	210	10	)	)	PUNCT
ejpam-6216	210	11	]	]	PUNCT
ejpam-6216	210	12	n	n	X
ejpam-6216	210	13	=	=	SYM
ejpam-6216	210	14	∧	∧	PROPN
ejpam-6216	211	1	[	[	X
ejpam-6216	211	2	lλ+(a	lλ+(a	NOUN
ejpam-6216	211	3	,	,	PUNCT
ejpam-6216	211	4	ϵ1	ϵ1	ADJ
ejpam-6216	211	5	)	)	PUNCT
ejpam-6216	211	6	,	,	PUNCT
ejpam-6216	211	7	lλ	lλ	X
ejpam-6216	212	1	+	+	ADJ
ejpam-6216	212	2	(	(	PUNCT
ejpam-6216	212	3	ϵ1	ϵ1	ADJ
ejpam-6216	212	4	,	,	PUNCT
ejpam-6216	212	5	ϵ2	ϵ2	ADJ
ejpam-6216	212	6	)	)	PUNCT
ejpam-6216	212	7	,	,	PUNCT
ejpam-6216	212	8	.	.	PUNCT
ejpam-6216	212	9	.	.	PUNCT
ejpam-6216	213	1	.	.	PUNCT
ejpam-6216	214	1	,	,	PUNCT
ejpam-6216	214	2	lλ	lλ	INTJ
ejpam-6216	215	1	+	+	ADJ
ejpam-6216	215	2	(	(	PUNCT
ejpam-6216	215	3	ϵn−1	ϵn−1	ADJ
ejpam-6216	215	4	,	,	PUNCT
ejpam-6216	215	5	b	b	NOUN
ejpam-6216	215	6	)	)	PUNCT
ejpam-6216	215	7	]	]	X
ejpam-6216	215	8	[	[	PUNCT
ejpam-6216	215	9	lλ−(a	lλ−(a	PROPN
ejpam-6216	215	10	,	,	PUNCT
ejpam-6216	215	11	b	b	NOUN
ejpam-6216	215	12	)	)	PUNCT
ejpam-6216	215	13	]	]	PUNCT
ejpam-6216	215	14	n	n	X
ejpam-6216	215	15	=	=	SYM
ejpam-6216	215	16	∨	∨	NOUN
ejpam-6216	215	17	[	[	X
ejpam-6216	215	18	lλ−(a	lλ−(a	NOUN
ejpam-6216	215	19	,	,	PUNCT
ejpam-6216	215	20	ϵ1	ϵ1	ADJ
ejpam-6216	215	21	)	)	PUNCT
ejpam-6216	215	22	,	,	PUNCT
ejpam-6216	215	23	lλ	lλ	NOUN
ejpam-6216	215	24	−(ϵ1	−(ϵ1	ADJ
ejpam-6216	215	25	,	,	PUNCT
ejpam-6216	215	26	ϵ2	ϵ2	ADJ
ejpam-6216	215	27	)	)	PUNCT
ejpam-6216	215	28	,	,	PUNCT
ejpam-6216	215	29	.	.	PUNCT
ejpam-6216	215	30	.	.	PUNCT
ejpam-6216	215	31	.	.	PUNCT
ejpam-6216	216	1	,	,	PUNCT
ejpam-6216	216	2	lλ	lλ	X
ejpam-6216	217	1	−(ϵn−1	−(ϵn−1	ADV
ejpam-6216	217	2	,	,	PUNCT
ejpam-6216	217	3	b	b	NOUN
ejpam-6216	217	4	)	)	PUNCT
ejpam-6216	217	5	]	]	PUNCT
ejpam-6216	217	6	such	such	ADJ
ejpam-6216	217	7	that	that	SCONJ
ejpam-6216	217	8	the	the	DET
ejpam-6216	217	9	strength	strength	NOUN
ejpam-6216	217	10	of	of	ADP
ejpam-6216	217	11	a	a	DET
ejpam-6216	217	12	path	path	NOUN
ejpam-6216	217	13	in	in	ADP
ejpam-6216	217	14	γ	γ	X
ejpam-6216	217	15	=	=	SYM
ejpam-6216	217	16	(	(	PUNCT
ejpam-6216	217	17	γ	γ	X
ejpam-6216	217	18	,	,	PUNCT
ejpam-6216	217	19	γ	γ	NOUN
ejpam-6216	217	20	)	)	PUNCT
ejpam-6216	217	21	is	be	AUX
ejpam-6216	217	22	defined	define	VERB
ejpam-6216	217	23	by	by	ADP
ejpam-6216	217	24	:	:	PUNCT
ejpam-6216	217	25	[	[	PUNCT
ejpam-6216	217	26	lλ+(a	lλ+(a	NOUN
ejpam-6216	217	27	,	,	PUNCT
ejpam-6216	217	28	b	b	NOUN
ejpam-6216	217	29	)	)	PUNCT
ejpam-6216	217	30	]	]	PUNCT
ejpam-6216	217	31	n	n	X
ejpam-6216	217	32	=	=	X
ejpam-6216	217	33	[	[	PUNCT
ejpam-6216	217	34	lλ+(a	lλ+(a	NOUN
ejpam-6216	217	35	,	,	PUNCT
ejpam-6216	217	36	b	b	NOUN
ejpam-6216	217	37	)	)	PUNCT
ejpam-6216	217	38	]	]	PUNCT
ejpam-6216	217	39	n	n	X
ejpam-6216	217	40	+	+	CCONJ
ejpam-6216	217	41	[	[	PUNCT
ejpam-6216	217	42	lλ+(a	lλ+(a	ADJ
ejpam-6216	217	43	,	,	PUNCT
ejpam-6216	217	44	b	b	NOUN
ejpam-6216	217	45	)	)	PUNCT
ejpam-6216	217	46	]	]	SYM
ejpam-6216	217	47	n	n	CCONJ
ejpam-6216	217	48	[	[	PUNCT
ejpam-6216	217	49	lλ−(a	lλ−(a	PROPN
ejpam-6216	217	50	,	,	PUNCT
ejpam-6216	217	51	b	b	NOUN
ejpam-6216	217	52	)	)	PUNCT
ejpam-6216	217	53	]	]	PUNCT
ejpam-6216	217	54	n	n	X
ejpam-6216	217	55	=	=	X
ejpam-6216	217	56	[	[	PUNCT
ejpam-6216	217	57	lλ−(a	lλ−(a	PROPN
ejpam-6216	217	58	,	,	PUNCT
ejpam-6216	217	59	b	b	NOUN
ejpam-6216	217	60	)	)	PUNCT
ejpam-6216	217	61	]	]	PUNCT
ejpam-6216	217	62	n	n	X
ejpam-6216	217	63	+	+	X
ejpam-6216	217	64	[	[	PUNCT
ejpam-6216	217	65	lλ−(a	lλ−(a	PROPN
ejpam-6216	217	66	,	,	PUNCT
ejpam-6216	217	67	b	b	NOUN
ejpam-6216	217	68	)	)	PUNCT
ejpam-6216	217	69	]	]	PUNCT
ejpam-6216	218	1	n	n	PRON
ejpam-6216	218	2	definition	definition	NOUN
ejpam-6216	218	3	13	13	NUM
ejpam-6216	218	4	.	.	PUNCT
ejpam-6216	219	1	let	let	VERB
ejpam-6216	219	2	γ	γ	X
ejpam-6216	219	3	=	=	SYM
ejpam-6216	219	4	(	(	PUNCT
ejpam-6216	219	5	γ	γ	X
ejpam-6216	219	6	,	,	PUNCT
ejpam-6216	219	7	γ	γ	NOUN
ejpam-6216	219	8	)	)	PUNCT
ejpam-6216	219	9	be	be	VERB
ejpam-6216	219	10	a	a	DET
ejpam-6216	219	11	bfrd	bfrd	NOUN
ejpam-6216	219	12	on	on	ADP
ejpam-6216	219	13	a	a	DET
ejpam-6216	219	14	universal	universal	ADJ
ejpam-6216	219	15	set	set	NOUN
ejpam-6216	219	16	x.	x.	NOUN
ejpam-6216	220	1	the	the	DET
ejpam-6216	220	2	strength	strength	NOUN
ejpam-6216	220	3	of	of	ADP
ejpam-6216	220	4	connectedness	connectedness	NOUN
ejpam-6216	220	5	from	from	ADP
ejpam-6216	220	6	point	point	NOUN
ejpam-6216	220	7	ϵ0	ϵ0	VERB
ejpam-6216	220	8	to	to	PART
ejpam-6216	220	9	ϵ1	ϵ1	VERB
ejpam-6216	220	10	in	in	ADP
ejpam-6216	220	11	γ	γ	NOUN
ejpam-6216	220	12	and	and	CCONJ
ejpam-6216	220	13	γ	γ	NOUN
ejpam-6216	220	14	is	be	AUX
ejpam-6216	220	15	defined	define	VERB
ejpam-6216	220	16	by	by	ADP
ejpam-6216	220	17	:	:	PUNCT
ejpam-6216	220	18	conn+	conn+	X
ejpam-6216	220	19	γ	γ	X
ejpam-6216	220	20	(	(	PUNCT
ejpam-6216	220	21	ϵ0	ϵ0	ADJ
ejpam-6216	220	22	,	,	PUNCT
ejpam-6216	220	23	ϵ1	ϵ1	ADJ
ejpam-6216	220	24	)	)	PUNCT
ejpam-6216	220	25	=	=	PUNCT
ejpam-6216	221	1	supn∈n[lλ	supn∈n[lλ	NUM
ejpam-6216	221	2	+	+	PROPN
ejpam-6216	221	3	(	(	PUNCT
ejpam-6216	221	4	ϵ0	ϵ0	ADJ
ejpam-6216	221	5	,	,	PUNCT
ejpam-6216	221	6	ϵ1	ϵ1	ADJ
ejpam-6216	221	7	)	)	PUNCT
ejpam-6216	221	8	]	]	PUNCT
ejpam-6216	222	1	n	n	CCONJ
ejpam-6216	222	2	conn−	conn−	NOUN
ejpam-6216	222	3	γ	γ	X
ejpam-6216	222	4	(	(	PUNCT
ejpam-6216	222	5	ϵ0	ϵ0	ADJ
ejpam-6216	222	6	,	,	PUNCT
ejpam-6216	222	7	ϵ1	ϵ1	ADJ
ejpam-6216	222	8	)	)	PUNCT
ejpam-6216	222	9	=	=	PUNCT
ejpam-6216	223	1	infn∈n[lλ	infn∈n[lλ	ADP
ejpam-6216	223	2	−(ϵ0	−(ϵ0	NUM
ejpam-6216	223	3	,	,	PUNCT
ejpam-6216	223	4	ϵ1	ϵ1	ADJ
ejpam-6216	223	5	)	)	PUNCT
ejpam-6216	223	6	]	]	PUNCT
ejpam-6216	224	1	n	n	CCONJ
ejpam-6216	224	2	conn+	conn+	X
ejpam-6216	224	3	γ	γ	X
ejpam-6216	224	4	(	(	PUNCT
ejpam-6216	224	5	ϵ0	ϵ0	ADJ
ejpam-6216	224	6	,	,	PUNCT
ejpam-6216	224	7	ϵ1	ϵ1	ADJ
ejpam-6216	224	8	)	)	PUNCT
ejpam-6216	224	9	=	=	PUNCT
ejpam-6216	225	1	supn∈n[lλ	supn∈n[lλ	NUM
ejpam-6216	225	2	+	+	PROPN
ejpam-6216	225	3	(	(	PUNCT
ejpam-6216	225	4	ϵ0	ϵ0	ADJ
ejpam-6216	225	5	,	,	PUNCT
ejpam-6216	225	6	ϵ1	ϵ1	ADJ
ejpam-6216	225	7	)	)	PUNCT
ejpam-6216	225	8	]	]	PUNCT
ejpam-6216	226	1	n	n	CCONJ
ejpam-6216	226	2	conn−	conn−	NOUN
ejpam-6216	226	3	γ	γ	X
ejpam-6216	226	4	(	(	PUNCT
ejpam-6216	226	5	ϵ0	ϵ0	ADJ
ejpam-6216	226	6	,	,	PUNCT
ejpam-6216	226	7	ϵ1	ϵ1	ADJ
ejpam-6216	226	8	)	)	PUNCT
ejpam-6216	226	9	=	=	PUNCT
ejpam-6216	227	1	infn∈n[lλ	infn∈n[lλ	ADP
ejpam-6216	227	2	−(ϵ0	−(ϵ0	NUM
ejpam-6216	227	3	,	,	PUNCT
ejpam-6216	227	4	ϵ1	ϵ1	ADJ
ejpam-6216	227	5	)	)	PUNCT
ejpam-6216	227	6	]	]	PUNCT
ejpam-6216	228	1	n	n	CCONJ
ejpam-6216	229	1	and	and	CCONJ
ejpam-6216	229	2	it	it	PRON
ejpam-6216	229	3	is	be	AUX
ejpam-6216	229	4	denoted	denote	VERB
ejpam-6216	229	5	by	by	ADP
ejpam-6216	229	6	:	:	PUNCT
ejpam-6216	229	7	connγ(ϵ0	connγ(ϵ0	ADJ
ejpam-6216	229	8	,	,	PUNCT
ejpam-6216	229	9	ϵ1	ϵ1	ADJ
ejpam-6216	229	10	)	)	PUNCT
ejpam-6216	229	11	=	=	SYM
ejpam-6216	230	1	(	(	PUNCT
ejpam-6216	230	2	conn+	conn+	ADP
ejpam-6216	230	3	γ	γ	X
ejpam-6216	230	4	(	(	PUNCT
ejpam-6216	230	5	ϵ0	ϵ0	PROPN
ejpam-6216	230	6	,	,	PUNCT
ejpam-6216	230	7	ϵ1),conn−	ϵ1),conn−	VERB
ejpam-6216	230	8	γ	γ	X
ejpam-6216	230	9	(	(	PUNCT
ejpam-6216	230	10	ϵ0	ϵ0	ADJ
ejpam-6216	230	11	,	,	PUNCT
ejpam-6216	230	12	ϵ1	ϵ1	ADJ
ejpam-6216	230	13	)	)	PUNCT
ejpam-6216	230	14	)	)	PUNCT
ejpam-6216	230	15	connγ(ϵ0	connγ(ϵ0	ADJ
ejpam-6216	230	16	,	,	PUNCT
ejpam-6216	230	17	ϵ1	ϵ1	ADJ
ejpam-6216	230	18	)	)	PUNCT
ejpam-6216	230	19	=	=	SYM
ejpam-6216	230	20	(	(	PUNCT
ejpam-6216	230	21	conn+	conn+	ADP
ejpam-6216	230	22	γ	γ	X
ejpam-6216	230	23	(	(	PUNCT
ejpam-6216	230	24	ϵ0	ϵ0	PROPN
ejpam-6216	230	25	,	,	PUNCT
ejpam-6216	230	26	ϵ1),conn−	ϵ1),conn−	VERB
ejpam-6216	230	27	γ	γ	X
ejpam-6216	230	28	(	(	PUNCT
ejpam-6216	230	29	ϵ0	ϵ0	ADJ
ejpam-6216	230	30	,	,	PUNCT
ejpam-6216	230	31	ϵ1	ϵ1	ADJ
ejpam-6216	230	32	)	)	PUNCT
ejpam-6216	230	33	)	)	PUNCT
ejpam-6216	230	34	definition	definition	NOUN
ejpam-6216	230	35	14	14	NUM
ejpam-6216	230	36	.	.	PUNCT
ejpam-6216	231	1	an	an	DET
ejpam-6216	231	2	edge	edge	NOUN
ejpam-6216	231	3	ϵ0ϵ1	ϵ0ϵ1	PUNCT
ejpam-6216	231	4	in	in	ADP
ejpam-6216	231	5	bfrd	bfrd	NOUN
ejpam-6216	231	6	γ	γ	X
ejpam-6216	231	7	=	=	SYM
ejpam-6216	231	8	(	(	PUNCT
ejpam-6216	231	9	γ	γ	X
ejpam-6216	231	10	,	,	PUNCT
ejpam-6216	231	11	γ	γ	NOUN
ejpam-6216	231	12	)	)	PUNCT
ejpam-6216	231	13	is	be	AUX
ejpam-6216	231	14	considered	consider	VERB
ejpam-6216	231	15	as	as	ADP
ejpam-6216	231	16	a	a	DET
ejpam-6216	231	17	strong	strong	ADJ
ejpam-6216	231	18	edge	edge	NOUN
ejpam-6216	231	19	in	in	ADP
ejpam-6216	231	20	γ	γ	NOUN
ejpam-6216	231	21	and	and	CCONJ
ejpam-6216	231	22	γ	γ	PROPN
ejpam-6216	231	23	if	if	PROPN
ejpam-6216	231	24	:	:	PUNCT
ejpam-6216	231	25	conn+	conn+	X
ejpam-6216	231	26	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	231	27	(	(	PUNCT
ejpam-6216	231	28	ϵ0	ϵ0	ADJ
ejpam-6216	231	29	,	,	PUNCT
ejpam-6216	231	30	ϵ1	ϵ1	ADJ
ejpam-6216	231	31	)	)	PUNCT
ejpam-6216	231	32	≤	≤	NOUN
ejpam-6216	231	33	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	231	34	,	,	PUNCT
ejpam-6216	231	35	ϵ1	ϵ1	ADJ
ejpam-6216	231	36	)	)	PUNCT
ejpam-6216	231	37	a.	a.	PROPN
ejpam-6216	231	38	arif	arif	PROPN
ejpam-6216	231	39	et	et	PROPN
ejpam-6216	232	1	al	al	PROPN
ejpam-6216	232	2	.	.	PUNCT
ejpam-6216	232	3	/	/	SYM
ejpam-6216	232	4	eur	eur	PROPN
ejpam-6216	232	5	.	.	PUNCT
ejpam-6216	233	1	j.	j.	PROPN
ejpam-6216	233	2	pure	pure	PROPN
ejpam-6216	233	3	appl	appl	PROPN
ejpam-6216	233	4	.	.	PROPN
ejpam-6216	233	5	math	math	PROPN
ejpam-6216	233	6	,	,	PUNCT
ejpam-6216	233	7	18	18	NUM
ejpam-6216	233	8	(	(	PUNCT
ejpam-6216	233	9	4	4	NUM
ejpam-6216	233	10	)	)	PUNCT
ejpam-6216	233	11	(	(	PUNCT
ejpam-6216	233	12	2025	2025	NUM
ejpam-6216	233	13	)	)	PUNCT
ejpam-6216	233	14	,	,	PUNCT
ejpam-6216	233	15	6216	6216	NUM
ejpam-6216	233	16	12	12	NUM
ejpam-6216	233	17	of	of	ADP
ejpam-6216	233	18	36	36	NUM
ejpam-6216	233	19	conn−	conn−	NOUN
ejpam-6216	233	20	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	233	21	(	(	PUNCT
ejpam-6216	233	22	ϵ0	ϵ0	ADJ
ejpam-6216	233	23	,	,	PUNCT
ejpam-6216	233	24	ϵ1	ϵ1	ADJ
ejpam-6216	233	25	)	)	PUNCT
ejpam-6216	233	26	≥	≥	NOUN
ejpam-6216	233	27	lλ−(ϵ0	lλ−(ϵ0	VERB
ejpam-6216	233	28	,	,	PUNCT
ejpam-6216	233	29	ϵ1	ϵ1	ADJ
ejpam-6216	233	30	)	)	PUNCT
ejpam-6216	233	31	conn+	conn+	PART
ejpam-6216	233	32	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	233	33	(	(	PUNCT
ejpam-6216	233	34	ϵ0	ϵ0	ADJ
ejpam-6216	233	35	,	,	PUNCT
ejpam-6216	233	36	ϵ1	ϵ1	ADJ
ejpam-6216	233	37	)	)	PUNCT
ejpam-6216	233	38	≤	≤	NOUN
ejpam-6216	233	39	lλ+(ϵ0	lλ+(ϵ0	ADJ
ejpam-6216	233	40	,	,	PUNCT
ejpam-6216	233	41	ϵ1	ϵ1	ADJ
ejpam-6216	233	42	)	)	PUNCT
ejpam-6216	233	43	conn−	conn−	NOUN
ejpam-6216	233	44	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	233	45	(	(	PUNCT
ejpam-6216	233	46	ϵ0	ϵ0	ADJ
ejpam-6216	233	47	,	,	PUNCT
ejpam-6216	233	48	ϵ1	ϵ1	ADJ
ejpam-6216	233	49	)	)	PUNCT
ejpam-6216	233	50	≥	≥	NOUN
ejpam-6216	233	51	lλ−(ϵ0	lλ−(ϵ0	VERB
ejpam-6216	233	52	,	,	PUNCT
ejpam-6216	233	53	ϵ1	ϵ1	ADJ
ejpam-6216	233	54	)	)	PUNCT
ejpam-6216	233	55	if	if	SCONJ
ejpam-6216	233	56	an	an	DET
ejpam-6216	233	57	edge	edge	NOUN
ejpam-6216	233	58	ϵ0ϵ1	ϵ0ϵ1	VERB
ejpam-6216	233	59	is	be	AUX
ejpam-6216	233	60	strong	strong	ADJ
ejpam-6216	233	61	in	in	ADP
ejpam-6216	233	62	both	both	CCONJ
ejpam-6216	233	63	γ	γ	NOUN
ejpam-6216	233	64	and	and	CCONJ
ejpam-6216	233	65	γ	γ	PROPN
ejpam-6216	233	66	then	then	ADV
ejpam-6216	233	67	it	it	PRON
ejpam-6216	233	68	is	be	AUX
ejpam-6216	233	69	strong	strong	ADJ
ejpam-6216	233	70	in	in	ADP
ejpam-6216	233	71	γ	γ	X
ejpam-6216	233	72	=	=	SYM
ejpam-6216	233	73	(	(	PUNCT
ejpam-6216	233	74	γ	γ	X
ejpam-6216	233	75	,	,	PUNCT
ejpam-6216	233	76	γ	γ	NOUN
ejpam-6216	233	77	)	)	PUNCT
ejpam-6216	233	78	.	.	PUNCT
ejpam-6216	234	1	example	example	NOUN
ejpam-6216	235	1	2	2	NUM
ejpam-6216	235	2	.	.	PUNCT
ejpam-6216	235	3	let	let	VERB
ejpam-6216	235	4	γ	γ	X
ejpam-6216	235	5	=	=	SYM
ejpam-6216	235	6	(	(	PUNCT
ejpam-6216	235	7	γ	γ	X
ejpam-6216	235	8	,	,	PUNCT
ejpam-6216	235	9	γ	γ	NOUN
ejpam-6216	235	10	)	)	PUNCT
ejpam-6216	235	11	be	be	VERB
ejpam-6216	235	12	a	a	DET
ejpam-6216	235	13	bfrd	bfrd	NOUN
ejpam-6216	235	14	defined	define	VERB
ejpam-6216	235	15	on	on	ADP
ejpam-6216	235	16	the	the	DET
ejpam-6216	235	17	universal	universal	ADJ
ejpam-6216	235	18	set	set	NOUN
ejpam-6216	235	19	x	x	X
ejpam-6216	235	20	=	=	PRON
ejpam-6216	235	21	{	{	PUNCT
ejpam-6216	235	22	ξ1	ξ1	NOUN
ejpam-6216	235	23	,	,	PUNCT
ejpam-6216	235	24	ξ2	ξ2	ADJ
ejpam-6216	235	25	,	,	PUNCT
ejpam-6216	235	26	ξ3	ξ3	NOUN
ejpam-6216	235	27	,	,	PUNCT
ejpam-6216	235	28	ξ4	ξ4	NOUN
ejpam-6216	235	29	}	}	PUNCT
ejpam-6216	235	30	given	give	VERB
ejpam-6216	235	31	in	in	ADP
ejpam-6216	235	32	figure	figure	NOUN
ejpam-6216	235	33	2	2	NUM
ejpam-6216	235	34	:	:	PUNCT
ejpam-6216	235	35	ξ1	ξ1	NOUN
ejpam-6216	235	36	(	(	PUNCT
ejpam-6216	235	37	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	235	38	)	)	PUNCT
ejpam-6216	235	39	ξ2	ξ2	NOUN
ejpam-6216	235	40	(	(	PUNCT
ejpam-6216	235	41	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	235	42	)	)	PUNCT
ejpam-6216	235	43	ξ3	ξ3	NOUN
ejpam-6216	235	44	(	(	PUNCT
ejpam-6216	235	45	0.3,−0.2	0.3,−0.2	NOUN
ejpam-6216	235	46	)	)	PUNCT
ejpam-6216	235	47	ξ4	ξ4	NOUN
ejpam-6216	235	48	(	(	PUNCT
ejpam-6216	235	49	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	235	50	)	)	PUNCT
ejpam-6216	235	51	(	(	PUNCT
ejpam-6216	235	52	0.1	0.1	NUM
ejpam-6216	235	53	,	,	PUNCT
ejpam-6216	235	54	-0.1	-0.1	PROPN
ejpam-6216	235	55	)	)	PUNCT
ejpam-6216	235	56	(	(	PUNCT
ejpam-6216	235	57	0.2	0.2	NUM
ejpam-6216	235	58	,	,	PUNCT
ejpam-6216	235	59	-0.1	-0.1	PROPN
ejpam-6216	235	60	)	)	PUNCT
ejpam-6216	235	61	(	(	PUNCT
ejpam-6216	235	62	0.2	0.2	NUM
ejpam-6216	235	63	,	,	PUNCT
ejpam-6216	235	64	-0.1	-0.1	PROPN
ejpam-6216	235	65	)	)	PUNCT
ejpam-6216	235	66	(	(	PUNCT
ejpam-6216	235	67	0.1	0.1	NUM
ejpam-6216	235	68	,	,	PUNCT
ejpam-6216	235	69	-0.05	-0.05	NUM
ejpam-6216	235	70	)	)	PUNCT
ejpam-6216	235	71	γ	γ	X
ejpam-6216	235	72	=	=	SYM
ejpam-6216	235	73	(	(	PUNCT
ejpam-6216	235	74	υw	υw	ADJ
ejpam-6216	235	75	,	,	PUNCT
ejpam-6216	235	76	lλ	lλ	NOUN
ejpam-6216	235	77	)	)	PUNCT
ejpam-6216	235	78	ξ1	ξ1	NOUN
ejpam-6216	235	79	(	(	PUNCT
ejpam-6216	235	80	0.4,−0.6	0.4,−0.6	NOUN
ejpam-6216	235	81	)	)	PUNCT
ejpam-6216	235	82	ξ2	ξ2	NOUN
ejpam-6216	235	83	(	(	PUNCT
ejpam-6216	235	84	0.3,−0.4	0.3,−0.4	NUM
ejpam-6216	235	85	)	)	PUNCT
ejpam-6216	235	86	ξ3	ξ3	NOUN
ejpam-6216	235	87	(	(	PUNCT
ejpam-6216	235	88	0.5,−0.4	0.5,−0.4	NOUN
ejpam-6216	235	89	)	)	PUNCT
ejpam-6216	235	90	ξ4	ξ4	PROPN
ejpam-6216	235	91	(	(	PUNCT
ejpam-6216	235	92	0.6,−0.2	0.6,−0.2	NUM
ejpam-6216	235	93	)	)	PUNCT
ejpam-6216	235	94	(	(	PUNCT
ejpam-6216	235	95	0.3	0.3	NUM
ejpam-6216	235	96	,	,	PUNCT
ejpam-6216	235	97	-0.3	-0.3	NUM
ejpam-6216	235	98	)	)	PUNCT
ejpam-6216	235	99	(	(	PUNCT
ejpam-6216	235	100	0.3	0.3	NUM
ejpam-6216	235	101	,	,	PUNCT
ejpam-6216	235	102	-0.3	-0.3	NUM
ejpam-6216	235	103	)	)	PUNCT
ejpam-6216	235	104	(	(	PUNCT
ejpam-6216	235	105	0.2	0.2	NUM
ejpam-6216	235	106	,	,	PUNCT
ejpam-6216	235	107	-0.2	-0.2	NOUN
ejpam-6216	235	108	)	)	PUNCT
ejpam-6216	235	109	(	(	PUNCT
ejpam-6216	235	110	0.3	0.3	NUM
ejpam-6216	235	111	,	,	PUNCT
ejpam-6216	235	112	-0.1	-0.1	PROPN
ejpam-6216	235	113	)	)	PUNCT
ejpam-6216	235	114	γ	γ	NOUN
ejpam-6216	235	115	=	=	SYM
ejpam-6216	235	116	(	(	PUNCT
ejpam-6216	235	117	υw	υw	ADJ
ejpam-6216	235	118	,	,	PUNCT
ejpam-6216	235	119	lλ	lλ	NOUN
ejpam-6216	235	120	)	)	PUNCT
ejpam-6216	235	121	figure	figure	NOUN
ejpam-6216	235	122	2	2	NUM
ejpam-6216	235	123	:	:	PUNCT
ejpam-6216	235	124	γ	γ	X
ejpam-6216	235	125	=	=	SYM
ejpam-6216	235	126	(	(	PUNCT
ejpam-6216	235	127	γ	γ	X
ejpam-6216	235	128	,	,	PUNCT
ejpam-6216	235	129	γ	γ	NOUN
ejpam-6216	235	130	)	)	PUNCT
ejpam-6216	235	131	conn+	conn+	NOUN
ejpam-6216	235	132	γ−ξ1ξ2	γ−ξ1ξ2	PROPN
ejpam-6216	235	133	(	(	PUNCT
ejpam-6216	235	134	ξ1	ξ1	NOUN
ejpam-6216	235	135	,	,	PUNCT
ejpam-6216	235	136	ξ2	ξ2	NOUN
ejpam-6216	235	137	)	)	PUNCT
ejpam-6216	236	1	=	=	SYM
ejpam-6216	236	2	0	0	NUM
ejpam-6216	236	3	≤	≤	NUM
ejpam-6216	236	4	0.1	0.1	NUM
ejpam-6216	236	5	=	=	SYM
ejpam-6216	236	6	lλ+(ξ1	lλ+(ξ1	NOUN
ejpam-6216	236	7	,	,	PUNCT
ejpam-6216	236	8	ξ2	ξ2	ADJ
ejpam-6216	236	9	)	)	PUNCT
ejpam-6216	236	10	conn−	conn−	NOUN
ejpam-6216	236	11	γ−ξ1ξ2	γ−ξ1ξ2	ADP
ejpam-6216	236	12	(	(	PUNCT
ejpam-6216	236	13	ξ1	ξ1	PROPN
ejpam-6216	236	14	,	,	PUNCT
ejpam-6216	236	15	ξ2	ξ2	NOUN
ejpam-6216	236	16	)	)	PUNCT
ejpam-6216	237	1	=	=	SYM
ejpam-6216	237	2	0	0	NUM
ejpam-6216	237	3	≥	≥	NOUN
ejpam-6216	237	4	−0.1	−0.1	PROPN
ejpam-6216	237	5	=	=	SYM
ejpam-6216	237	6	lλ−(ξ1	lλ−(ξ1	PROPN
ejpam-6216	237	7	,	,	PUNCT
ejpam-6216	237	8	ξ2	ξ2	NOUN
ejpam-6216	237	9	)	)	PUNCT
ejpam-6216	237	10	conn+	conn+	VERB
ejpam-6216	237	11	γ−ξ2ξ3	γ−ξ2ξ3	ADV
ejpam-6216	237	12	(	(	PUNCT
ejpam-6216	237	13	ξ2	ξ2	ADJ
ejpam-6216	237	14	,	,	PUNCT
ejpam-6216	237	15	ξ3	ξ3	NOUN
ejpam-6216	237	16	)	)	PUNCT
ejpam-6216	237	17	=	=	NOUN
ejpam-6216	237	18	0	0	NUM
ejpam-6216	237	19	≤	≤	NUM
ejpam-6216	237	20	0.2	0.2	NUM
ejpam-6216	237	21	=	=	SYM
ejpam-6216	237	22	lλ+(ξ2	lλ+(ξ2	ADJ
ejpam-6216	237	23	,	,	PUNCT
ejpam-6216	237	24	ξ3	ξ3	NOUN
ejpam-6216	237	25	)	)	PUNCT
ejpam-6216	237	26	conn−	conn−	NOUN
ejpam-6216	238	1	γ−ξ2ξ3	γ−ξ2ξ3	PRON
ejpam-6216	238	2	(	(	PUNCT
ejpam-6216	238	3	ξ2	ξ2	ADJ
ejpam-6216	238	4	,	,	PUNCT
ejpam-6216	238	5	ξ3	ξ3	NOUN
ejpam-6216	238	6	)	)	PUNCT
ejpam-6216	238	7	=	=	SYM
ejpam-6216	238	8	0	0	NUM
ejpam-6216	238	9	≥	≥	NOUN
ejpam-6216	238	10	−0.1	−0.1	PROPN
ejpam-6216	238	11	=	=	SYM
ejpam-6216	238	12	lλ−(ξ2	lλ−(ξ2	ADJ
ejpam-6216	238	13	,	,	PUNCT
ejpam-6216	238	14	ξ3	ξ3	NOUN
ejpam-6216	238	15	)	)	PUNCT
ejpam-6216	238	16	conn+	conn+	PART
ejpam-6216	238	17	γ−ξ3ξ4	γ−ξ3ξ4	PROPN
ejpam-6216	238	18	(	(	PUNCT
ejpam-6216	238	19	ξ3	ξ3	PROPN
ejpam-6216	238	20	,	,	PUNCT
ejpam-6216	238	21	ξ4	ξ4	NOUN
ejpam-6216	238	22	)	)	PUNCT
ejpam-6216	239	1	=	=	SYM
ejpam-6216	239	2	0	0	NUM
ejpam-6216	239	3	≤	≤	NUM
ejpam-6216	239	4	0.2	0.2	NUM
ejpam-6216	239	5	=	=	SYM
ejpam-6216	239	6	lλ+(ξ3	lλ+(ξ3	NOUN
ejpam-6216	239	7	,	,	PUNCT
ejpam-6216	239	8	ξ4	ξ4	NOUN
ejpam-6216	239	9	)	)	PUNCT
ejpam-6216	239	10	conn−	conn−	NOUN
ejpam-6216	239	11	γ−ξ3ξ4	γ−ξ3ξ4	PROPN
ejpam-6216	239	12	(	(	PUNCT
ejpam-6216	239	13	ξ3	ξ3	PROPN
ejpam-6216	239	14	,	,	PUNCT
ejpam-6216	239	15	ξ4	ξ4	NOUN
ejpam-6216	239	16	)	)	PUNCT
ejpam-6216	240	1	=	=	SYM
ejpam-6216	240	2	0	0	NUM
ejpam-6216	240	3	≥	≥	NOUN
ejpam-6216	240	4	−0.1	−0.1	PROPN
ejpam-6216	240	5	=	=	SYM
ejpam-6216	240	6	lλ−(ξ3	lλ−(ξ3	PROPN
ejpam-6216	240	7	,	,	PUNCT
ejpam-6216	240	8	ξ4	ξ4	PROPN
ejpam-6216	240	9	)	)	PUNCT
ejpam-6216	240	10	conn+	conn+	PART
ejpam-6216	240	11	γ−ξ1ξ4	γ−ξ1ξ4	PROPN
ejpam-6216	240	12	(	(	PUNCT
ejpam-6216	240	13	ξ1	ξ1	NOUN
ejpam-6216	240	14	,	,	PUNCT
ejpam-6216	240	15	ξ4	ξ4	PROPN
ejpam-6216	240	16	)	)	PUNCT
ejpam-6216	240	17	=	=	NOUN
ejpam-6216	240	18	0.1	0.1	NUM
ejpam-6216	240	19	≤	≤	NUM
ejpam-6216	240	20	0.1	0.1	NUM
ejpam-6216	240	21	=	=	SYM
ejpam-6216	240	22	lλ+(ξ1	lλ+(ξ1	NOUN
ejpam-6216	240	23	,	,	PUNCT
ejpam-6216	240	24	ξ4	ξ4	NOUN
ejpam-6216	240	25	)	)	PUNCT
ejpam-6216	240	26	conn−	conn−	NOUN
ejpam-6216	240	27	γ−ξ1ξ4	γ−ξ1ξ4	PROPN
ejpam-6216	240	28	(	(	PUNCT
ejpam-6216	240	29	ξ1	ξ1	NOUN
ejpam-6216	240	30	,	,	PUNCT
ejpam-6216	240	31	ξ4	ξ4	NOUN
ejpam-6216	240	32	)	)	PUNCT
ejpam-6216	240	33	=	=	NOUN
ejpam-6216	240	34	−	−	NOUN
ejpam-6216	240	35	0.1	0.1	NUM
ejpam-6216	240	36	≤	≤	NOUN
ejpam-6216	240	37	−0.05	−0.05	NOUN
ejpam-6216	240	38	=	=	PUNCT
ejpam-6216	240	39	lλ−(ξ1	lλ−(ξ1	PROPN
ejpam-6216	240	40	,	,	PUNCT
ejpam-6216	240	41	ξ4	ξ4	NOUN
ejpam-6216	240	42	)	)	PUNCT
ejpam-6216	240	43	conn+	conn+	VERB
ejpam-6216	240	44	γ−ξ1ξ2	γ−ξ1ξ2	PROPN
ejpam-6216	240	45	(	(	PUNCT
ejpam-6216	240	46	ξ1	ξ1	NOUN
ejpam-6216	240	47	,	,	PUNCT
ejpam-6216	240	48	ξ2	ξ2	NOUN
ejpam-6216	240	49	)	)	PUNCT
ejpam-6216	240	50	=	=	SYM
ejpam-6216	240	51	0	0	NUM
ejpam-6216	240	52	≤	≤	NUM
ejpam-6216	240	53	0.3	0.3	NUM
ejpam-6216	240	54	=	=	SYM
ejpam-6216	240	55	lλ+(ξ1	lλ+(ξ1	NOUN
ejpam-6216	240	56	,	,	PUNCT
ejpam-6216	240	57	ξ2	ξ2	ADJ
ejpam-6216	240	58	)	)	PUNCT
ejpam-6216	240	59	conn−	conn−	NOUN
ejpam-6216	240	60	γ−ξ1ξ2	γ−ξ1ξ2	ADP
ejpam-6216	240	61	(	(	PUNCT
ejpam-6216	240	62	ξ1	ξ1	PROPN
ejpam-6216	240	63	,	,	PUNCT
ejpam-6216	240	64	ξ2	ξ2	NOUN
ejpam-6216	240	65	)	)	PUNCT
ejpam-6216	240	66	=	=	SYM
ejpam-6216	240	67	0	0	NUM
ejpam-6216	240	68	≥	≥	NOUN
ejpam-6216	240	69	−0.3	−0.3	PROPN
ejpam-6216	240	70	=	=	SYM
ejpam-6216	240	71	lλ−(ξ1	lλ−(ξ1	PROPN
ejpam-6216	240	72	,	,	PUNCT
ejpam-6216	240	73	ξ2	ξ2	NOUN
ejpam-6216	240	74	)	)	PUNCT
ejpam-6216	240	75	conn+	conn+	NOUN
ejpam-6216	240	76	γ−ξ1ξ2	γ−ξ1ξ2	PROPN
ejpam-6216	240	77	(	(	PUNCT
ejpam-6216	240	78	ξ2	ξ2	ADJ
ejpam-6216	240	79	,	,	PUNCT
ejpam-6216	240	80	ξ3	ξ3	NOUN
ejpam-6216	240	81	)	)	PUNCT
ejpam-6216	240	82	=	=	SYM
ejpam-6216	240	83	0	0	NUM
ejpam-6216	240	84	≤	≤	NUM
ejpam-6216	240	85	0.3	0.3	NUM
ejpam-6216	240	86	=	=	SYM
ejpam-6216	240	87	lλ+(ξ2	lλ+(ξ2	ADJ
ejpam-6216	240	88	,	,	PUNCT
ejpam-6216	240	89	ξ3	ξ3	NOUN
ejpam-6216	240	90	)	)	PUNCT
ejpam-6216	240	91	conn−	conn−	NOUN
ejpam-6216	241	1	γ−ξ2ξ3	γ−ξ2ξ3	PRON
ejpam-6216	241	2	(	(	PUNCT
ejpam-6216	241	3	ξ2	ξ2	ADJ
ejpam-6216	241	4	,	,	PUNCT
ejpam-6216	241	5	ξ3	ξ3	NOUN
ejpam-6216	241	6	)	)	PUNCT
ejpam-6216	241	7	=	=	SYM
ejpam-6216	241	8	0	0	NUM
ejpam-6216	241	9	≥	≥	NOUN
ejpam-6216	241	10	−0.3	−0.3	X
ejpam-6216	241	11	=	=	SYM
ejpam-6216	241	12	lλ−(ξ2	lλ−(ξ2	ADJ
ejpam-6216	241	13	,	,	PUNCT
ejpam-6216	241	14	ξ3	ξ3	NOUN
ejpam-6216	241	15	)	)	PUNCT
ejpam-6216	241	16	a.	a.	PROPN
ejpam-6216	241	17	arif	arif	PROPN
ejpam-6216	241	18	et	et	PROPN
ejpam-6216	241	19	al	al	PROPN
ejpam-6216	241	20	.	.	PUNCT
ejpam-6216	241	21	/	/	SYM
ejpam-6216	241	22	eur	eur	PROPN
ejpam-6216	241	23	.	.	PUNCT
ejpam-6216	242	1	j.	j.	PROPN
ejpam-6216	242	2	pure	pure	PROPN
ejpam-6216	242	3	appl	appl	PROPN
ejpam-6216	242	4	.	.	PROPN
ejpam-6216	242	5	math	math	PROPN
ejpam-6216	242	6	,	,	PUNCT
ejpam-6216	242	7	18	18	NUM
ejpam-6216	242	8	(	(	PUNCT
ejpam-6216	242	9	4	4	NUM
ejpam-6216	242	10	)	)	PUNCT
ejpam-6216	242	11	(	(	PUNCT
ejpam-6216	242	12	2025	2025	NUM
ejpam-6216	242	13	)	)	PUNCT
ejpam-6216	242	14	,	,	PUNCT
ejpam-6216	242	15	6216	6216	NUM
ejpam-6216	242	16	13	13	NUM
ejpam-6216	242	17	of	of	ADP
ejpam-6216	242	18	36	36	NUM
ejpam-6216	242	19	conn+	conn+	NOUN
ejpam-6216	242	20	γ−ξ3ξ4	γ−ξ3ξ4	PROPN
ejpam-6216	242	21	(	(	PUNCT
ejpam-6216	242	22	ξ3	ξ3	PROPN
ejpam-6216	242	23	,	,	PUNCT
ejpam-6216	242	24	ξ4	ξ4	NOUN
ejpam-6216	242	25	)	)	PUNCT
ejpam-6216	242	26	=	=	SYM
ejpam-6216	242	27	0	0	NUM
ejpam-6216	242	28	≤	≤	NUM
ejpam-6216	242	29	0.2	0.2	NUM
ejpam-6216	242	30	=	=	SYM
ejpam-6216	242	31	lλ+(ξ3	lλ+(ξ3	NOUN
ejpam-6216	242	32	,	,	PUNCT
ejpam-6216	242	33	ξ4	ξ4	NOUN
ejpam-6216	242	34	)	)	PUNCT
ejpam-6216	242	35	conn−	conn−	NOUN
ejpam-6216	242	36	γ−ξ3ξ4	γ−ξ3ξ4	PROPN
ejpam-6216	242	37	(	(	PUNCT
ejpam-6216	242	38	ξ3	ξ3	PROPN
ejpam-6216	242	39	,	,	PUNCT
ejpam-6216	242	40	ξ4	ξ4	NOUN
ejpam-6216	242	41	)	)	PUNCT
ejpam-6216	242	42	=	=	SYM
ejpam-6216	242	43	0	0	NUM
ejpam-6216	242	44	≥	≥	NOUN
ejpam-6216	242	45	−0.2	−0.2	PROPN
ejpam-6216	242	46	=	=	SYM
ejpam-6216	242	47	lλ−(ξ3	lλ−(ξ3	PROPN
ejpam-6216	242	48	,	,	PUNCT
ejpam-6216	242	49	ξ4	ξ4	PROPN
ejpam-6216	242	50	)	)	PUNCT
ejpam-6216	242	51	conn+	conn+	PART
ejpam-6216	242	52	γ−ξ1ξ4	γ−ξ1ξ4	PROPN
ejpam-6216	242	53	(	(	PUNCT
ejpam-6216	242	54	ξ1	ξ1	NOUN
ejpam-6216	242	55	,	,	PUNCT
ejpam-6216	242	56	ξ4	ξ4	PROPN
ejpam-6216	242	57	)	)	PUNCT
ejpam-6216	243	1	=	=	NOUN
ejpam-6216	243	2	0.2	0.2	NUM
ejpam-6216	243	3	≤	≤	NUM
ejpam-6216	243	4	0.3	0.3	NUM
ejpam-6216	243	5	=	=	SYM
ejpam-6216	243	6	lλ+(ξ1	lλ+(ξ1	NOUN
ejpam-6216	243	7	,	,	PUNCT
ejpam-6216	243	8	ξ4	ξ4	NOUN
ejpam-6216	243	9	)	)	PUNCT
ejpam-6216	243	10	conn−	conn−	NOUN
ejpam-6216	243	11	γ−ξ1ξ4	γ−ξ1ξ4	PROPN
ejpam-6216	243	12	(	(	PUNCT
ejpam-6216	243	13	ξ1	ξ1	NOUN
ejpam-6216	243	14	,	,	PUNCT
ejpam-6216	243	15	ξ4	ξ4	NOUN
ejpam-6216	243	16	)	)	PUNCT
ejpam-6216	244	1	=	=	SYM
ejpam-6216	244	2	−	−	NOUN
ejpam-6216	244	3	0.2	0.2	NUM
ejpam-6216	244	4	≤	≤	NUM
ejpam-6216	244	5	−0.1	−0.1	PROPN
ejpam-6216	244	6	=	=	SYM
ejpam-6216	244	7	lλ−(ξ1	lλ−(ξ1	PROPN
ejpam-6216	244	8	,	,	PUNCT
ejpam-6216	244	9	ξ4	ξ4	PROPN
ejpam-6216	244	10	)	)	PUNCT
ejpam-6216	244	11	the	the	DET
ejpam-6216	244	12	strong	strong	ADJ
ejpam-6216	244	13	edges	edge	NOUN
ejpam-6216	244	14	in	in	ADP
ejpam-6216	244	15	γ	γ	NOUN
ejpam-6216	244	16	are	be	AUX
ejpam-6216	244	17	(	(	PUNCT
ejpam-6216	244	18	ξ1	ξ1	NOUN
ejpam-6216	244	19	,	,	PUNCT
ejpam-6216	244	20	ξ2	ξ2	NOUN
ejpam-6216	244	21	)	)	PUNCT
ejpam-6216	244	22	,	,	PUNCT
ejpam-6216	244	23	(	(	PUNCT
ejpam-6216	244	24	ξ2	ξ2	ADJ
ejpam-6216	244	25	,	,	PUNCT
ejpam-6216	244	26	ξ3	ξ3	NOUN
ejpam-6216	244	27	)	)	PUNCT
ejpam-6216	244	28	,	,	PUNCT
ejpam-6216	244	29	and	and	CCONJ
ejpam-6216	244	30	(	(	PUNCT
ejpam-6216	244	31	ξ3	ξ3	NOUN
ejpam-6216	244	32	,	,	PUNCT
ejpam-6216	244	33	ξ4	ξ4	PROPN
ejpam-6216	244	34	)	)	PUNCT
ejpam-6216	244	35	.	.	PUNCT
ejpam-6216	245	1	the	the	DET
ejpam-6216	245	2	strong	strong	ADJ
ejpam-6216	245	3	edges	edge	NOUN
ejpam-6216	245	4	in	in	ADP
ejpam-6216	245	5	γ	γ	NOUN
ejpam-6216	245	6	are	be	AUX
ejpam-6216	245	7	(	(	PUNCT
ejpam-6216	245	8	ξ1	ξ1	NOUN
ejpam-6216	245	9	,	,	PUNCT
ejpam-6216	245	10	ξ2	ξ2	NOUN
ejpam-6216	245	11	)	)	PUNCT
ejpam-6216	245	12	,	,	PUNCT
ejpam-6216	245	13	(	(	PUNCT
ejpam-6216	245	14	ξ2	ξ2	ADJ
ejpam-6216	245	15	,	,	PUNCT
ejpam-6216	245	16	ξ3	ξ3	NOUN
ejpam-6216	245	17	)	)	PUNCT
ejpam-6216	245	18	,	,	PUNCT
ejpam-6216	245	19	and	and	CCONJ
ejpam-6216	245	20	(	(	PUNCT
ejpam-6216	245	21	ξ3	ξ3	NOUN
ejpam-6216	245	22	,	,	PUNCT
ejpam-6216	245	23	ξ4	ξ4	PROPN
ejpam-6216	245	24	)	)	PUNCT
ejpam-6216	245	25	.	.	PUNCT
ejpam-6216	246	1	therefore	therefore	ADV
ejpam-6216	246	2	(	(	PUNCT
ejpam-6216	246	3	ξ1	ξ1	NOUN
ejpam-6216	246	4	,	,	PUNCT
ejpam-6216	246	5	ξ2	ξ2	NOUN
ejpam-6216	246	6	)	)	PUNCT
ejpam-6216	246	7	,	,	PUNCT
ejpam-6216	246	8	(	(	PUNCT
ejpam-6216	246	9	ξ2	ξ2	ADJ
ejpam-6216	246	10	,	,	PUNCT
ejpam-6216	246	11	ξ3	ξ3	NOUN
ejpam-6216	246	12	)	)	PUNCT
ejpam-6216	246	13	,	,	PUNCT
ejpam-6216	246	14	and	and	CCONJ
ejpam-6216	246	15	(	(	PUNCT
ejpam-6216	246	16	ξ3	ξ3	NOUN
ejpam-6216	246	17	,	,	PUNCT
ejpam-6216	246	18	ξ4	ξ4	PROPN
ejpam-6216	246	19	)	)	PUNCT
ejpam-6216	246	20	are	be	AUX
ejpam-6216	246	21	strong	strong	ADJ
ejpam-6216	246	22	edges	edge	NOUN
ejpam-6216	246	23	in	in	ADP
ejpam-6216	246	24	γ	γ	X
ejpam-6216	246	25	=	=	SYM
ejpam-6216	246	26	(	(	PUNCT
ejpam-6216	246	27	γ	γ	X
ejpam-6216	246	28	,	,	PUNCT
ejpam-6216	246	29	γ	γ	NOUN
ejpam-6216	246	30	)	)	PUNCT
ejpam-6216	246	31	.	.	PUNCT
ejpam-6216	247	1	definition	definition	NOUN
ejpam-6216	247	2	15	15	NUM
ejpam-6216	247	3	.	.	PUNCT
ejpam-6216	248	1	let	let	VERB
ejpam-6216	248	2	γ	γ	X
ejpam-6216	248	3	=	=	SYM
ejpam-6216	248	4	(	(	PUNCT
ejpam-6216	248	5	γ	γ	X
ejpam-6216	248	6	,	,	PUNCT
ejpam-6216	248	7	γ	γ	NOUN
ejpam-6216	248	8	)	)	PUNCT
ejpam-6216	248	9	be	be	VERB
ejpam-6216	248	10	a	a	DET
ejpam-6216	248	11	bfrd	bfrd	NOUN
ejpam-6216	248	12	on	on	ADP
ejpam-6216	248	13	a	a	DET
ejpam-6216	248	14	universal	universal	ADJ
ejpam-6216	248	15	set	set	NOUN
ejpam-6216	248	16	x.	x.	NOUN
ejpam-6216	248	17	let	let	VERB
ejpam-6216	248	18	ϵ0	ϵ0	ADJ
ejpam-6216	248	19	,	,	PUNCT
ejpam-6216	248	20	ϵ1	ϵ1	NOUN
ejpam-6216	248	21	∈	∈	PROPN
ejpam-6216	248	22	x	x	X
ejpam-6216	248	23	then	then	ADV
ejpam-6216	248	24	vertex	vertex	PROPN
ejpam-6216	248	25	ϵ0	ϵ0	PROPN
ejpam-6216	248	26	dominates	dominate	VERB
ejpam-6216	248	27	the	the	DET
ejpam-6216	248	28	vertex	vertex	NOUN
ejpam-6216	248	29	ϵ1	ϵ1	NOUN
ejpam-6216	248	30	in	in	ADP
ejpam-6216	248	31	γ	γ	PROPN
ejpam-6216	248	32	if	if	SCONJ
ejpam-6216	248	33	directed	direct	VERB
ejpam-6216	248	34	edge	edge	NOUN
ejpam-6216	248	35	from	from	ADP
ejpam-6216	248	36	ϵ0	ϵ0	NUM
ejpam-6216	248	37	to	to	ADP
ejpam-6216	248	38	ϵ1	ϵ1	PROPN
ejpam-6216	248	39	is	be	AUX
ejpam-6216	248	40	a	a	DET
ejpam-6216	248	41	strong	strong	ADJ
ejpam-6216	248	42	edge	edge	NOUN
ejpam-6216	248	43	in	in	ADP
ejpam-6216	248	44	γ	γ	PRON
ejpam-6216	248	45	such	such	ADJ
ejpam-6216	248	46	that	that	PRON
ejpam-6216	248	47	:	:	PUNCT
ejpam-6216	248	48	conn+	conn+	ADP
ejpam-6216	248	49	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	248	50	(	(	PUNCT
ejpam-6216	248	51	ϵ0	ϵ0	ADJ
ejpam-6216	248	52	,	,	PUNCT
ejpam-6216	248	53	ϵ1	ϵ1	ADJ
ejpam-6216	248	54	)	)	PUNCT
ejpam-6216	248	55	≤	≤	NOUN
ejpam-6216	248	56	lλ+(ϵ0	lλ+(ϵ0	ADJ
ejpam-6216	248	57	,	,	PUNCT
ejpam-6216	248	58	ϵ1	ϵ1	ADJ
ejpam-6216	248	59	)	)	PUNCT
ejpam-6216	248	60	conn−	conn−	NOUN
ejpam-6216	248	61	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	248	62	(	(	PUNCT
ejpam-6216	248	63	ϵ0	ϵ0	ADJ
ejpam-6216	248	64	,	,	PUNCT
ejpam-6216	248	65	ϵ1	ϵ1	ADJ
ejpam-6216	248	66	)	)	PUNCT
ejpam-6216	248	67	≥	≥	NOUN
ejpam-6216	248	68	lλ−(ϵ0	lλ−(ϵ0	VERB
ejpam-6216	248	69	,	,	PUNCT
ejpam-6216	248	70	ϵ1	ϵ1	ADJ
ejpam-6216	248	71	)	)	PUNCT
ejpam-6216	248	72	similarly	similarly	ADV
ejpam-6216	248	73	,	,	PUNCT
ejpam-6216	248	74	ϵ0	ϵ0	PROPN
ejpam-6216	248	75	dominates	dominate	VERB
ejpam-6216	248	76	the	the	DET
ejpam-6216	248	77	vertex	vertex	NOUN
ejpam-6216	248	78	ϵ1	ϵ1	NOUN
ejpam-6216	248	79	in	in	ADP
ejpam-6216	248	80	γ	γ	PROPN
ejpam-6216	248	81	if	if	SCONJ
ejpam-6216	248	82	directed	direct	VERB
ejpam-6216	248	83	edge	edge	NOUN
ejpam-6216	248	84	from	from	ADP
ejpam-6216	248	85	ϵ0	ϵ0	NUM
ejpam-6216	248	86	to	to	ADP
ejpam-6216	248	87	ϵ1	ϵ1	PROPN
ejpam-6216	248	88	is	be	AUX
ejpam-6216	248	89	a	a	DET
ejpam-6216	248	90	strong	strong	ADJ
ejpam-6216	248	91	edge	edge	NOUN
ejpam-6216	248	92	in	in	ADP
ejpam-6216	248	93	γ	γ	PRON
ejpam-6216	248	94	such	such	ADJ
ejpam-6216	248	95	that	that	PRON
ejpam-6216	248	96	:	:	PUNCT
ejpam-6216	248	97	conn+	conn+	ADP
ejpam-6216	248	98	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	248	99	(	(	PUNCT
ejpam-6216	248	100	ϵ0	ϵ0	ADJ
ejpam-6216	248	101	,	,	PUNCT
ejpam-6216	248	102	ϵ1	ϵ1	ADJ
ejpam-6216	248	103	)	)	PUNCT
ejpam-6216	248	104	≤	≤	NOUN
ejpam-6216	248	105	lλ+(ϵ0	lλ+(ϵ0	ADJ
ejpam-6216	248	106	,	,	PUNCT
ejpam-6216	248	107	ϵ1	ϵ1	ADJ
ejpam-6216	248	108	)	)	PUNCT
ejpam-6216	248	109	conn−	conn−	NOUN
ejpam-6216	248	110	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	248	111	(	(	PUNCT
ejpam-6216	248	112	ϵ0	ϵ0	ADJ
ejpam-6216	248	113	,	,	PUNCT
ejpam-6216	248	114	ϵ1	ϵ1	ADJ
ejpam-6216	248	115	)	)	PUNCT
ejpam-6216	248	116	≥	≥	NOUN
ejpam-6216	248	117	lλ−(ϵ0	lλ−(ϵ0	VERB
ejpam-6216	248	118	,	,	PUNCT
ejpam-6216	248	119	ϵ1	ϵ1	ADJ
ejpam-6216	248	120	)	)	PUNCT
ejpam-6216	248	121	ϵ0	ϵ0	NOUN
ejpam-6216	248	122	dominates	dominate	VERB
ejpam-6216	248	123	the	the	DET
ejpam-6216	248	124	vertex	vertex	NOUN
ejpam-6216	248	125	ϵ1	ϵ1	NOUN
ejpam-6216	248	126	in	in	ADP
ejpam-6216	248	127	γ	γ	X
ejpam-6216	248	128	=	=	SYM
ejpam-6216	248	129	(	(	PUNCT
ejpam-6216	248	130	γ	γ	X
ejpam-6216	248	131	,	,	PUNCT
ejpam-6216	248	132	γ	γ	NOUN
ejpam-6216	248	133	)	)	PUNCT
ejpam-6216	248	134	if	if	SCONJ
ejpam-6216	248	135	directed	direct	VERB
ejpam-6216	248	136	edge	edge	NOUN
ejpam-6216	248	137	from	from	ADP
ejpam-6216	248	138	ϵ0	ϵ0	NUM
ejpam-6216	248	139	to	to	ADP
ejpam-6216	248	140	ϵ1	ϵ1	PROPN
ejpam-6216	248	141	is	be	AUX
ejpam-6216	248	142	a	a	DET
ejpam-6216	248	143	strong	strong	ADJ
ejpam-6216	248	144	edge	edge	NOUN
ejpam-6216	248	145	both	both	PRON
ejpam-6216	248	146	in	in	ADP
ejpam-6216	248	147	γ	γ	NOUN
ejpam-6216	248	148	and	and	CCONJ
ejpam-6216	248	149	γ	γ	PROPN
ejpam-6216	248	150	.	.	PROPN
ejpam-6216	248	151	definition	definition	NOUN
ejpam-6216	248	152	16	16	NUM
ejpam-6216	248	153	.	.	PUNCT
ejpam-6216	249	1	the	the	DET
ejpam-6216	249	2	fuzzy	fuzzy	ADJ
ejpam-6216	249	3	cardinality	cardinality	NOUN
ejpam-6216	249	4	of	of	ADP
ejpam-6216	249	5	set	set	NOUN
ejpam-6216	249	6	of	of	ADP
ejpam-6216	249	7	points	point	NOUN
ejpam-6216	249	8	v	v	NOUN
ejpam-6216	249	9	in	in	ADP
ejpam-6216	249	10	γ	γ	NOUN
ejpam-6216	249	11	or	or	CCONJ
ejpam-6216	249	12	order	order	NOUN
ejpam-6216	249	13	of	of	ADP
ejpam-6216	249	14	γ	γ	X
ejpam-6216	249	15	is	be	AUX
ejpam-6216	249	16	defined	define	VERB
ejpam-6216	249	17	as	as	ADP
ejpam-6216	249	18	:	:	PUNCT
ejpam-6216	249	19	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	249	20	=	=	SYM
ejpam-6216	249	21	∑	∑	PUNCT
ejpam-6216	249	22	ϵi∈v	ϵi∈v	SYM
ejpam-6216	249	23	1	1	NUM
ejpam-6216	249	24	+	+	CCONJ
ejpam-6216	249	25	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	249	26	)	)	PUNCT
ejpam-6216	250	1	+	+	PUNCT
ejpam-6216	250	2	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	250	3	)	)	PUNCT
ejpam-6216	250	4	2	2	NUM
ejpam-6216	250	5	the	the	DET
ejpam-6216	250	6	fuzzy	fuzzy	ADJ
ejpam-6216	250	7	cardinality	cardinality	NOUN
ejpam-6216	250	8	of	of	ADP
ejpam-6216	250	9	set	set	NOUN
ejpam-6216	250	10	of	of	ADP
ejpam-6216	250	11	points	point	NOUN
ejpam-6216	250	12	v	v	NOUN
ejpam-6216	250	13	in	in	ADP
ejpam-6216	250	14	γ	γ	NOUN
ejpam-6216	250	15	or	or	CCONJ
ejpam-6216	250	16	order	order	NOUN
ejpam-6216	250	17	of	of	ADP
ejpam-6216	250	18	γ	γ	X
ejpam-6216	250	19	is	be	AUX
ejpam-6216	250	20	defined	define	VERB
ejpam-6216	250	21	as	as	ADP
ejpam-6216	250	22	:	:	PUNCT
ejpam-6216	250	23	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	250	24	=	=	SYM
ejpam-6216	250	25	∑	∑	PUNCT
ejpam-6216	250	26	ϵi∈v	ϵi∈v	SYM
ejpam-6216	250	27	1	1	NUM
ejpam-6216	250	28	+	+	CCONJ
ejpam-6216	250	29	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	250	30	)	)	PUNCT
ejpam-6216	251	1	+	+	PUNCT
ejpam-6216	251	2	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	251	3	)	)	PUNCT
ejpam-6216	251	4	2	2	NUM
ejpam-6216	251	5	example	example	NOUN
ejpam-6216	251	6	3	3	NUM
ejpam-6216	251	7	.	.	PUNCT
ejpam-6216	251	8	let	let	VERB
ejpam-6216	251	9	γ	γ	X
ejpam-6216	251	10	=	=	SYM
ejpam-6216	251	11	(	(	PUNCT
ejpam-6216	251	12	γ	γ	X
ejpam-6216	251	13	,	,	PUNCT
ejpam-6216	251	14	γ	γ	NOUN
ejpam-6216	251	15	)	)	PUNCT
ejpam-6216	251	16	be	be	VERB
ejpam-6216	251	17	a	a	DET
ejpam-6216	251	18	bfrd	bfrd	NOUN
ejpam-6216	251	19	defined	define	VERB
ejpam-6216	251	20	on	on	ADP
ejpam-6216	251	21	the	the	DET
ejpam-6216	251	22	universal	universal	ADJ
ejpam-6216	251	23	set	set	NOUN
ejpam-6216	251	24	x	x	X
ejpam-6216	251	25	=	=	SYM
ejpam-6216	251	26	{	{	PUNCT
ejpam-6216	251	27	η	η	PROPN
ejpam-6216	251	28	,	,	PUNCT
ejpam-6216	251	29	ξ	ξ	PROPN
ejpam-6216	251	30	,	,	PUNCT
ejpam-6216	251	31	ϵ	ϵ	X
ejpam-6216	251	32	}	}	PUNCT
ejpam-6216	251	33	given	give	VERB
ejpam-6216	251	34	in	in	ADP
ejpam-6216	251	35	figure	figure	NOUN
ejpam-6216	251	36	1	1	NUM
ejpam-6216	251	37	:	:	PUNCT
ejpam-6216	251	38	the	the	DET
ejpam-6216	251	39	fuzzy	fuzzy	ADJ
ejpam-6216	251	40	cardinality	cardinality	NOUN
ejpam-6216	251	41	of	of	ADP
ejpam-6216	251	42	vertices	vertex	NOUN
ejpam-6216	251	43	in	in	ADP
ejpam-6216	251	44	γ	γ	NOUN
ejpam-6216	251	45	are	be	AUX
ejpam-6216	251	46	:	:	PUNCT
ejpam-6216	252	1	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	252	2	=	=	SYM
ejpam-6216	252	3	∑	∑	PUNCT
ejpam-6216	252	4	ϵi∈v	ϵi∈v	SYM
ejpam-6216	252	5	1	1	NUM
ejpam-6216	252	6	+	+	CCONJ
ejpam-6216	252	7	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	252	8	)	)	PUNCT
ejpam-6216	252	9	+	+	SYM
ejpam-6216	252	10	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	252	11	)	)	PUNCT
ejpam-6216	252	12	2	2	NUM
ejpam-6216	252	13	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	252	14	=	=	NOUN
ejpam-6216	252	15	1	1	NUM
ejpam-6216	252	16	+	+	NOUN
ejpam-6216	252	17	υw+(η	υw+(η	ADJ
ejpam-6216	252	18	)	)	PUNCT
ejpam-6216	252	19	+	+	PUNCT
ejpam-6216	253	1	υw−(η	υw−(η	ADJ
ejpam-6216	253	2	)	)	PUNCT
ejpam-6216	253	3	2	2	NUM
ejpam-6216	254	1	+	+	CCONJ
ejpam-6216	254	2	1	1	NUM
ejpam-6216	254	3	+	+	CCONJ
ejpam-6216	254	4	υw+(ξ	υw+(ξ	PROPN
ejpam-6216	254	5	)	)	PUNCT
ejpam-6216	254	6	+	+	PUNCT
ejpam-6216	254	7	υw−(ξ	υw−(ξ	X
ejpam-6216	254	8	)	)	PUNCT
ejpam-6216	254	9	2	2	NUM
ejpam-6216	254	10	+	+	SYM
ejpam-6216	254	11	1	1	NUM
ejpam-6216	254	12	+	+	CCONJ
ejpam-6216	254	13	υw+(ϵ	υw+(ϵ	NOUN
ejpam-6216	254	14	)	)	PUNCT
ejpam-6216	254	15	+	+	CCONJ
ejpam-6216	254	16	υw−(ϵ	υw−(ϵ	ADJ
ejpam-6216	254	17	)	)	PUNCT
ejpam-6216	254	18	2	2	NUM
ejpam-6216	254	19	a.	a.	NOUN
ejpam-6216	254	20	arif	arif	PROPN
ejpam-6216	254	21	et	et	PROPN
ejpam-6216	254	22	al	al	PROPN
ejpam-6216	254	23	.	.	PUNCT
ejpam-6216	254	24	/	/	SYM
ejpam-6216	254	25	eur	eur	PROPN
ejpam-6216	254	26	.	.	PUNCT
ejpam-6216	255	1	j.	j.	PROPN
ejpam-6216	255	2	pure	pure	PROPN
ejpam-6216	255	3	appl	appl	PROPN
ejpam-6216	255	4	.	.	PROPN
ejpam-6216	255	5	math	math	PROPN
ejpam-6216	255	6	,	,	PUNCT
ejpam-6216	255	7	18	18	NUM
ejpam-6216	255	8	(	(	PUNCT
ejpam-6216	255	9	4	4	NUM
ejpam-6216	255	10	)	)	PUNCT
ejpam-6216	255	11	(	(	PUNCT
ejpam-6216	255	12	2025	2025	NUM
ejpam-6216	255	13	)	)	PUNCT
ejpam-6216	255	14	,	,	PUNCT
ejpam-6216	255	15	6216	6216	NUM
ejpam-6216	255	16	14	14	NUM
ejpam-6216	255	17	of	of	ADP
ejpam-6216	255	18	36	36	NUM
ejpam-6216	255	19	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	255	20	=	=	NOUN
ejpam-6216	255	21	1	1	NUM
ejpam-6216	255	22	+	+	NUM
ejpam-6216	255	23	0.3	0.3	NUM
ejpam-6216	255	24	+	+	CCONJ
ejpam-6216	255	25	(	(	PUNCT
ejpam-6216	255	26	−0.1	−0.1	X
ejpam-6216	255	27	)	)	PUNCT
ejpam-6216	255	28	2	2	NUM
ejpam-6216	256	1	+	+	CCONJ
ejpam-6216	256	2	1	1	NUM
ejpam-6216	256	3	+	+	CCONJ
ejpam-6216	256	4	(	(	PUNCT
ejpam-6216	256	5	0.1	0.1	NUM
ejpam-6216	256	6	)	)	PUNCT
ejpam-6216	257	1	+	+	CCONJ
ejpam-6216	257	2	(	(	PUNCT
ejpam-6216	257	3	−0.3	−0.3	NUM
ejpam-6216	257	4	)	)	PUNCT
ejpam-6216	257	5	2	2	NUM
ejpam-6216	258	1	+	+	CCONJ
ejpam-6216	258	2	1	1	NUM
ejpam-6216	258	3	+	+	CCONJ
ejpam-6216	258	4	(	(	PUNCT
ejpam-6216	258	5	0.2	0.2	NUM
ejpam-6216	258	6	)	)	PUNCT
ejpam-6216	259	1	+	+	CCONJ
ejpam-6216	259	2	(	(	PUNCT
ejpam-6216	259	3	−0.1	−0.1	X
ejpam-6216	259	4	)	)	PUNCT
ejpam-6216	259	5	2	2	NUM
ejpam-6216	259	6	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	259	7	=	=	NOUN
ejpam-6216	259	8	1.55	1.55	NUM
ejpam-6216	259	9	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	259	10	=	=	PUNCT
ejpam-6216	259	11	∑	∑	PUNCT
ejpam-6216	259	12	ϵi∈v	ϵi∈v	SYM
ejpam-6216	259	13	1	1	NUM
ejpam-6216	259	14	+	+	CCONJ
ejpam-6216	259	15	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	259	16	)	)	PUNCT
ejpam-6216	259	17	+	+	SYM
ejpam-6216	259	18	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	259	19	)	)	PUNCT
ejpam-6216	259	20	2	2	NUM
ejpam-6216	259	21	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	259	22	=	=	NOUN
ejpam-6216	259	23	1	1	NUM
ejpam-6216	259	24	+	+	NOUN
ejpam-6216	259	25	υw+(η	υw+(η	ADJ
ejpam-6216	259	26	)	)	PUNCT
ejpam-6216	259	27	+	+	PUNCT
ejpam-6216	259	28	υw−(η	υw−(η	ADJ
ejpam-6216	259	29	)	)	PUNCT
ejpam-6216	259	30	2	2	NUM
ejpam-6216	259	31	+	+	CCONJ
ejpam-6216	259	32	1	1	NUM
ejpam-6216	259	33	+	+	CCONJ
ejpam-6216	259	34	υw+(ξ	υw+(ξ	PROPN
ejpam-6216	259	35	)	)	PUNCT
ejpam-6216	259	36	+	+	PUNCT
ejpam-6216	259	37	υw−(ξ	υw−(ξ	X
ejpam-6216	259	38	)	)	PUNCT
ejpam-6216	259	39	2	2	NUM
ejpam-6216	259	40	+	+	SYM
ejpam-6216	259	41	1	1	NUM
ejpam-6216	259	42	+	+	CCONJ
ejpam-6216	259	43	υw+(ϵ	υw+(ϵ	NOUN
ejpam-6216	259	44	)	)	PUNCT
ejpam-6216	259	45	+	+	CCONJ
ejpam-6216	259	46	υw−(ϵ	υw−(ϵ	ADJ
ejpam-6216	259	47	)	)	PUNCT
ejpam-6216	259	48	2	2	NUM
ejpam-6216	259	49	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	259	50	=	=	NOUN
ejpam-6216	259	51	1	1	NUM
ejpam-6216	259	52	+	+	NUM
ejpam-6216	259	53	0.3	0.3	NUM
ejpam-6216	259	54	+	+	CCONJ
ejpam-6216	259	55	(	(	PUNCT
ejpam-6216	259	56	−0.2	−0.2	PROPN
ejpam-6216	259	57	)	)	PUNCT
ejpam-6216	259	58	2	2	NUM
ejpam-6216	259	59	+	+	CCONJ
ejpam-6216	259	60	1	1	NUM
ejpam-6216	259	61	+	+	CCONJ
ejpam-6216	259	62	(	(	PUNCT
ejpam-6216	259	63	0.3	0.3	NUM
ejpam-6216	259	64	)	)	PUNCT
ejpam-6216	259	65	+	+	CCONJ
ejpam-6216	259	66	(	(	PUNCT
ejpam-6216	259	67	−0.3	−0.3	NUM
ejpam-6216	259	68	)	)	PUNCT
ejpam-6216	259	69	2	2	NUM
ejpam-6216	259	70	+	+	CCONJ
ejpam-6216	259	71	1	1	NUM
ejpam-6216	259	72	+	+	CCONJ
ejpam-6216	259	73	(	(	PUNCT
ejpam-6216	259	74	0.2	0.2	NUM
ejpam-6216	259	75	)	)	PUNCT
ejpam-6216	259	76	+	+	CCONJ
ejpam-6216	259	77	(	(	PUNCT
ejpam-6216	259	78	−0.2	−0.2	PROPN
ejpam-6216	259	79	)	)	PUNCT
ejpam-6216	259	80	2	2	NUM
ejpam-6216	259	81	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	259	82	=	=	SYM
ejpam-6216	259	83	1.55	1.55	NUM
ejpam-6216	259	84	definition	definition	NOUN
ejpam-6216	259	85	17	17	NUM
ejpam-6216	259	86	.	.	PUNCT
ejpam-6216	260	1	let	let	VERB
ejpam-6216	260	2	γ	γ	X
ejpam-6216	260	3	=	=	SYM
ejpam-6216	260	4	(	(	PUNCT
ejpam-6216	260	5	γ	γ	X
ejpam-6216	260	6	,	,	PUNCT
ejpam-6216	260	7	γ	γ	NOUN
ejpam-6216	260	8	)	)	PUNCT
ejpam-6216	260	9	be	be	VERB
ejpam-6216	260	10	a	a	DET
ejpam-6216	260	11	bfrd	bfrd	NOUN
ejpam-6216	260	12	.	.	PUNCT
ejpam-6216	261	1	a	a	DET
ejpam-6216	261	2	subset	subset	NOUN
ejpam-6216	261	3	γf	γf	NOUN
ejpam-6216	261	4	of	of	ADP
ejpam-6216	261	5	υw	υw	NOUN
ejpam-6216	261	6	is	be	AUX
ejpam-6216	261	7	said	say	VERB
ejpam-6216	261	8	to	to	PART
ejpam-6216	261	9	be	be	AUX
ejpam-6216	261	10	the	the	DET
ejpam-6216	261	11	lower	low	ADJ
ejpam-6216	261	12	dominating	dominating	NOUN
ejpam-6216	261	13	set	set	NOUN
ejpam-6216	261	14	of	of	ADP
ejpam-6216	261	15	γ	γ	PRON
ejpam-6216	261	16	if	if	SCONJ
ejpam-6216	261	17	for	for	ADP
ejpam-6216	261	18	every	every	DET
ejpam-6216	261	19	ϵ0	ϵ0	ADJ
ejpam-6216	261	20	∈	∈	PROPN
ejpam-6216	261	21	υw	υw	NOUN
ejpam-6216	261	22	−γf	−γf	NOUN
ejpam-6216	261	23	there	there	PRON
ejpam-6216	261	24	exists	exist	VERB
ejpam-6216	261	25	ϵ1	ϵ1	PROPN
ejpam-6216	261	26	∈	∈	PROPN
ejpam-6216	262	1	γf	γf	ADP
ejpam-6216	262	2	such	such	ADJ
ejpam-6216	262	3	that	that	DET
ejpam-6216	262	4	ϵ1	ϵ1	NOUN
ejpam-6216	262	5	dominates	dominate	VERB
ejpam-6216	262	6	ϵ0	ϵ0	NUM
ejpam-6216	262	7	.	.	PUNCT
ejpam-6216	263	1	a	a	DET
ejpam-6216	263	2	subset	subset	NOUN
ejpam-6216	263	3	γf	γf	NOUN
ejpam-6216	263	4	of	of	ADP
ejpam-6216	263	5	υw	υw	NOUN
ejpam-6216	263	6	is	be	AUX
ejpam-6216	263	7	said	say	VERB
ejpam-6216	263	8	to	to	PART
ejpam-6216	263	9	be	be	AUX
ejpam-6216	263	10	the	the	DET
ejpam-6216	263	11	upper	upper	ADJ
ejpam-6216	263	12	dominating	dominating	NOUN
ejpam-6216	263	13	set	set	NOUN
ejpam-6216	263	14	of	of	ADP
ejpam-6216	263	15	γ	γ	PRON
ejpam-6216	263	16	if	if	SCONJ
ejpam-6216	263	17	for	for	ADP
ejpam-6216	263	18	every	every	DET
ejpam-6216	263	19	ϵ0	ϵ0	ADJ
ejpam-6216	263	20	∈	∈	PROPN
ejpam-6216	263	21	υw	υw	NOUN
ejpam-6216	263	22	−γf	−γf	NOUN
ejpam-6216	263	23	there	there	PRON
ejpam-6216	263	24	exists	exist	VERB
ejpam-6216	263	25	ϵ1	ϵ1	PROPN
ejpam-6216	263	26	∈	∈	PROPN
ejpam-6216	264	1	γf	γf	ADP
ejpam-6216	264	2	such	such	ADJ
ejpam-6216	264	3	that	that	DET
ejpam-6216	264	4	ϵ1	ϵ1	NOUN
ejpam-6216	264	5	dominates	dominate	VERB
ejpam-6216	264	6	ϵ0	ϵ0	NUM
ejpam-6216	264	7	.	.	PUNCT
ejpam-6216	265	1	a	a	DET
ejpam-6216	265	2	set	set	NOUN
ejpam-6216	265	3	of	of	ADP
ejpam-6216	265	4	vertices	vertex	NOUN
ejpam-6216	265	5	is	be	AUX
ejpam-6216	265	6	called	call	VERB
ejpam-6216	265	7	a	a	DET
ejpam-6216	265	8	ds	ds	NOUN
ejpam-6216	265	9	in	in	ADP
ejpam-6216	265	10	γ	γ	X
ejpam-6216	265	11	=	=	SYM
ejpam-6216	265	12	(	(	PUNCT
ejpam-6216	265	13	γ	γ	X
ejpam-6216	265	14	,	,	PUNCT
ejpam-6216	265	15	γ	γ	NOUN
ejpam-6216	265	16	)	)	PUNCT
ejpam-6216	265	17	if	if	SCONJ
ejpam-6216	265	18	it	it	PRON
ejpam-6216	265	19	is	be	AUX
ejpam-6216	265	20	both	both	CCONJ
ejpam-6216	265	21	upper	upper	ADJ
ejpam-6216	265	22	and	and	CCONJ
ejpam-6216	265	23	lower	low	ADJ
ejpam-6216	265	24	dominating	dominating	NOUN
ejpam-6216	265	25	set	set	NOUN
ejpam-6216	265	26	.	.	PUNCT
ejpam-6216	266	1	definition	definition	NOUN
ejpam-6216	266	2	18	18	NUM
ejpam-6216	266	3	.	.	PUNCT
ejpam-6216	267	1	let	let	VERB
ejpam-6216	267	2	γ	γ	X
ejpam-6216	267	3	=	=	SYM
ejpam-6216	267	4	(	(	PUNCT
ejpam-6216	267	5	γ	γ	X
ejpam-6216	267	6	,	,	PUNCT
ejpam-6216	267	7	γ	γ	NOUN
ejpam-6216	267	8	)	)	PUNCT
ejpam-6216	267	9	be	be	VERB
ejpam-6216	267	10	a	a	DET
ejpam-6216	267	11	bfrd	bfrd	NOUN
ejpam-6216	267	12	.	.	PUNCT
ejpam-6216	268	1	a	a	DET
ejpam-6216	268	2	ds	ds	NOUN
ejpam-6216	268	3	in	in	ADP
ejpam-6216	268	4	γ	γ	PROPN
ejpam-6216	268	5	is	be	AUX
ejpam-6216	268	6	called	call	VERB
ejpam-6216	268	7	a	a	DET
ejpam-6216	268	8	lower	low	ADJ
ejpam-6216	268	9	minimal	minimal	ADJ
ejpam-6216	268	10	dominating	dominating	NOUN
ejpam-6216	268	11	set	set	NOUN
ejpam-6216	268	12	if	if	SCONJ
ejpam-6216	268	13	there	there	PRON
ejpam-6216	268	14	are	be	VERB
ejpam-6216	268	15	no	no	DET
ejpam-6216	268	16	proper	proper	ADJ
ejpam-6216	268	17	subsets	subset	NOUN
ejpam-6216	268	18	of	of	ADP
ejpam-6216	268	19	it	it	PRON
ejpam-6216	268	20	in	in	ADP
ejpam-6216	268	21	γ	γ	PROPN
ejpam-6216	268	22	.	.	PUNCT
ejpam-6216	269	1	a	a	DET
ejpam-6216	269	2	ds	ds	NOUN
ejpam-6216	269	3	in	in	ADP
ejpam-6216	269	4	γ	γ	PROPN
ejpam-6216	269	5	is	be	AUX
ejpam-6216	269	6	called	call	VERB
ejpam-6216	269	7	an	an	DET
ejpam-6216	269	8	upper	upper	ADJ
ejpam-6216	269	9	minimal	minimal	ADJ
ejpam-6216	269	10	dominating	dominating	NOUN
ejpam-6216	269	11	set	set	NOUN
ejpam-6216	269	12	if	if	SCONJ
ejpam-6216	269	13	there	there	PRON
ejpam-6216	269	14	are	be	VERB
ejpam-6216	269	15	no	no	DET
ejpam-6216	269	16	proper	proper	ADJ
ejpam-6216	269	17	subsets	subset	NOUN
ejpam-6216	269	18	of	of	ADP
ejpam-6216	269	19	it	it	PRON
ejpam-6216	269	20	in	in	ADP
ejpam-6216	269	21	γ	γ	PROPN
ejpam-6216	269	22	.	.	PUNCT
ejpam-6216	270	1	a	a	DET
ejpam-6216	270	2	ds	ds	NOUN
ejpam-6216	270	3	that	that	PRON
ejpam-6216	270	4	is	be	AUX
ejpam-6216	270	5	both	both	CCONJ
ejpam-6216	270	6	lower	low	ADJ
ejpam-6216	270	7	and	and	CCONJ
ejpam-6216	270	8	upper	upper	ADJ
ejpam-6216	270	9	minimal	minimal	ADJ
ejpam-6216	270	10	dominating	dominating	NOUN
ejpam-6216	270	11	set	set	NOUN
ejpam-6216	270	12	is	be	AUX
ejpam-6216	270	13	called	call	VERB
ejpam-6216	270	14	a	a	DET
ejpam-6216	270	15	minimal	minimal	ADJ
ejpam-6216	270	16	dominating	dominating	NOUN
ejpam-6216	270	17	set	set	VERB
ejpam-6216	270	18	in	in	ADP
ejpam-6216	270	19	γ	γ	X
ejpam-6216	270	20	=	=	SYM
ejpam-6216	270	21	(	(	PUNCT
ejpam-6216	270	22	γ	γ	X
ejpam-6216	270	23	,	,	PUNCT
ejpam-6216	270	24	γ	γ	NOUN
ejpam-6216	270	25	)	)	PUNCT
ejpam-6216	270	26	.	.	PUNCT
ejpam-6216	271	1	a	a	DET
ejpam-6216	271	2	minimal	minimal	ADJ
ejpam-6216	271	3	dominating	dominating	NOUN
ejpam-6216	271	4	set	set	NOUN
ejpam-6216	271	5	for	for	ADP
ejpam-6216	271	6	which	which	PRON
ejpam-6216	271	7	the	the	DET
ejpam-6216	271	8	sum	sum	NOUN
ejpam-6216	271	9	of	of	ADP
ejpam-6216	271	10	fuzzy	fuzzy	ADJ
ejpam-6216	271	11	cardinalities	cardinality	NOUN
ejpam-6216	271	12	in	in	ADP
ejpam-6216	271	13	γ	γ	NOUN
ejpam-6216	271	14	and	and	CCONJ
ejpam-6216	271	15	γ	γ	X
ejpam-6216	271	16	is	be	AUX
ejpam-6216	271	17	least	least	ADJ
ejpam-6216	271	18	among	among	ADP
ejpam-6216	271	19	all	all	DET
ejpam-6216	271	20	minimal	minimal	ADJ
ejpam-6216	271	21	dominating	dominating	NOUN
ejpam-6216	271	22	sets	set	NOUN
ejpam-6216	271	23	of	of	ADP
ejpam-6216	271	24	γ	γ	X
ejpam-6216	271	25	=	=	SYM
ejpam-6216	271	26	(	(	PUNCT
ejpam-6216	271	27	γ	γ	X
ejpam-6216	271	28	,	,	PUNCT
ejpam-6216	271	29	γ	γ	NOUN
ejpam-6216	271	30	)	)	PUNCT
ejpam-6216	271	31	is	be	AUX
ejpam-6216	271	32	called	call	VERB
ejpam-6216	271	33	a	a	DET
ejpam-6216	271	34	mds	mds	NOUN
ejpam-6216	271	35	d(γ	d(γ	PROPN
ejpam-6216	271	36	)	)	PUNCT
ejpam-6216	271	37	.	.	PUNCT
ejpam-6216	272	1	|d(γ)|+	|d(γ)|+	PROPN
ejpam-6216	272	2	|d(γ)|	|d(γ)|	PROPN
ejpam-6216	272	3	=	=	PUNCT
ejpam-6216	272	4	∑	∑	PUNCT
ejpam-6216	272	5	ϵi∈v	ϵi∈v	SYM
ejpam-6216	272	6	1	1	NUM
ejpam-6216	272	7	+	+	CCONJ
ejpam-6216	272	8	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	272	9	)	)	PUNCT
ejpam-6216	272	10	+	+	PUNCT
ejpam-6216	273	1	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	273	2	)	)	PUNCT
ejpam-6216	273	3	2	2	NUM
ejpam-6216	274	1	+	+	CCONJ
ejpam-6216	274	2	∑	∑	PUNCT
ejpam-6216	274	3	ϵi∈v	ϵi∈v	SYM
ejpam-6216	274	4	1	1	NUM
ejpam-6216	274	5	+	+	CCONJ
ejpam-6216	274	6	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	274	7	)	)	PUNCT
ejpam-6216	274	8	+	+	PUNCT
ejpam-6216	274	9	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	274	10	)	)	PUNCT
ejpam-6216	274	11	2	2	NUM
ejpam-6216	274	12	definition	definition	NOUN
ejpam-6216	274	13	19	19	NUM
ejpam-6216	274	14	.	.	PUNCT
ejpam-6216	275	1	let	let	VERB
ejpam-6216	275	2	γ	γ	X
ejpam-6216	275	3	=	=	SYM
ejpam-6216	275	4	(	(	PUNCT
ejpam-6216	275	5	γ	γ	X
ejpam-6216	275	6	,	,	PUNCT
ejpam-6216	275	7	γ	γ	NOUN
ejpam-6216	275	8	)	)	PUNCT
ejpam-6216	275	9	be	be	VERB
ejpam-6216	275	10	a	a	DET
ejpam-6216	275	11	bfrd	bfrd	NOUN
ejpam-6216	275	12	.	.	PUNCT
ejpam-6216	276	1	the	the	DET
ejpam-6216	276	2	fuzzy	fuzzy	ADJ
ejpam-6216	276	3	cardinality	cardinality	NOUN
ejpam-6216	276	4	of	of	ADP
ejpam-6216	276	5	a	a	DET
ejpam-6216	276	6	minimal	minimal	ADJ
ejpam-6216	276	7	dominating	dominating	NOUN
ejpam-6216	276	8	set	set	NOUN
ejpam-6216	276	9	d(γ	d(γ	PROPN
ejpam-6216	276	10	)	)	PUNCT
ejpam-6216	276	11	in	in	ADP
ejpam-6216	276	12	γ	γ	PROPN
ejpam-6216	276	13	is	be	AUX
ejpam-6216	276	14	called	call	VERB
ejpam-6216	276	15	lower	low	ADJ
ejpam-6216	276	16	domination	domination	NOUN
ejpam-6216	276	17	number	number	NOUN
ejpam-6216	276	18	ωd(γ	ωd(γ	NUM
ejpam-6216	276	19	)	)	PUNCT
ejpam-6216	276	20	.	.	PUNCT
ejpam-6216	277	1	the	the	DET
ejpam-6216	277	2	fuzzy	fuzzy	ADJ
ejpam-6216	277	3	cardinality	cardinality	NOUN
ejpam-6216	277	4	of	of	ADP
ejpam-6216	277	5	a	a	DET
ejpam-6216	277	6	minimal	minimal	ADJ
ejpam-6216	277	7	dominating	dominating	NOUN
ejpam-6216	277	8	set	set	NOUN
ejpam-6216	277	9	d(γ	d(γ	PROPN
ejpam-6216	277	10	)	)	PUNCT
ejpam-6216	277	11	in	in	ADP
ejpam-6216	277	12	γ	γ	PROPN
ejpam-6216	277	13	is	be	AUX
ejpam-6216	277	14	called	call	VERB
ejpam-6216	277	15	upper	upper	ADJ
ejpam-6216	277	16	domination	domination	NOUN
ejpam-6216	277	17	number	number	NOUN
ejpam-6216	277	18	ωd(γ	ωd(γ	NUM
ejpam-6216	277	19	)	)	PUNCT
ejpam-6216	277	20	.	.	PUNCT
ejpam-6216	278	1	the	the	DET
ejpam-6216	278	2	sum	sum	NOUN
ejpam-6216	278	3	of	of	ADP
ejpam-6216	278	4	the	the	DET
ejpam-6216	278	5	lower	low	ADJ
ejpam-6216	278	6	and	and	CCONJ
ejpam-6216	278	7	upper	upper	ADJ
ejpam-6216	278	8	domination	domination	NOUN
ejpam-6216	278	9	number	number	NOUN
ejpam-6216	278	10	of	of	ADP
ejpam-6216	278	11	a	a	DET
ejpam-6216	278	12	mds	mds	NOUN
ejpam-6216	278	13	d(γ	d(γ	PROPN
ejpam-6216	278	14	)	)	PUNCT
ejpam-6216	278	15	is	be	AUX
ejpam-6216	278	16	called	call	VERB
ejpam-6216	278	17	the	the	DET
ejpam-6216	278	18	domination	domination	NOUN
ejpam-6216	278	19	number	number	NOUN
ejpam-6216	278	20	of	of	ADP
ejpam-6216	278	21	bfrd	bfrd	ADJ
ejpam-6216	278	22	γ	γ	X
ejpam-6216	278	23	=	=	SYM
ejpam-6216	278	24	(	(	PUNCT
ejpam-6216	278	25	γ	γ	X
ejpam-6216	278	26	,	,	PUNCT
ejpam-6216	278	27	γ	γ	NOUN
ejpam-6216	278	28	):	):	PUNCT
ejpam-6216	278	29	ωd(γ	ωd(γ	NUM
ejpam-6216	278	30	)	)	PUNCT
ejpam-6216	278	31	=	=	SYM
ejpam-6216	278	32	ωd(γ	ωd(γ	X
ejpam-6216	278	33	)	)	PUNCT
ejpam-6216	278	34	+	+	NUM
ejpam-6216	278	35	ωd(γ	ωd(γ	X
ejpam-6216	278	36	)	)	PUNCT
ejpam-6216	278	37	a.	a.	PROPN
ejpam-6216	278	38	arif	arif	PROPN
ejpam-6216	278	39	et	et	PROPN
ejpam-6216	278	40	al	al	PROPN
ejpam-6216	278	41	.	.	PUNCT
ejpam-6216	278	42	/	/	SYM
ejpam-6216	278	43	eur	eur	PROPN
ejpam-6216	278	44	.	.	PUNCT
ejpam-6216	279	1	j.	j.	PROPN
ejpam-6216	279	2	pure	pure	PROPN
ejpam-6216	279	3	appl	appl	PROPN
ejpam-6216	279	4	.	.	PROPN
ejpam-6216	279	5	math	math	PROPN
ejpam-6216	279	6	,	,	PUNCT
ejpam-6216	279	7	18	18	NUM
ejpam-6216	279	8	(	(	PUNCT
ejpam-6216	279	9	4	4	NUM
ejpam-6216	279	10	)	)	PUNCT
ejpam-6216	279	11	(	(	PUNCT
ejpam-6216	279	12	2025	2025	NUM
ejpam-6216	279	13	)	)	PUNCT
ejpam-6216	279	14	,	,	PUNCT
ejpam-6216	279	15	6216	6216	NUM
ejpam-6216	279	16	15	15	NUM
ejpam-6216	279	17	of	of	ADP
ejpam-6216	279	18	36	36	NUM
ejpam-6216	279	19	example	example	NOUN
ejpam-6216	279	20	4	4	NUM
ejpam-6216	279	21	.	.	PUNCT
ejpam-6216	280	1	let	let	VERB
ejpam-6216	280	2	γ	γ	X
ejpam-6216	280	3	=	=	SYM
ejpam-6216	280	4	(	(	PUNCT
ejpam-6216	280	5	γ	γ	X
ejpam-6216	280	6	,	,	PUNCT
ejpam-6216	280	7	γ	γ	NOUN
ejpam-6216	280	8	)	)	PUNCT
ejpam-6216	280	9	be	be	VERB
ejpam-6216	280	10	a	a	DET
ejpam-6216	280	11	bfrd	bfrd	NOUN
ejpam-6216	280	12	defined	define	VERB
ejpam-6216	280	13	on	on	ADP
ejpam-6216	280	14	the	the	DET
ejpam-6216	280	15	universal	universal	ADJ
ejpam-6216	280	16	set	set	NOUN
ejpam-6216	280	17	x	x	PUNCT
ejpam-6216	280	18	=	=	SYM
ejpam-6216	280	19	{	{	PUNCT
ejpam-6216	280	20	ξ	ξ	PROPN
ejpam-6216	280	21	,	,	PUNCT
ejpam-6216	280	22	κ	κ	NOUN
ejpam-6216	280	23	,	,	PUNCT
ejpam-6216	280	24	ε	ε	PROPN
ejpam-6216	280	25	,	,	PUNCT
ejpam-6216	280	26	δ	δ	PROPN
ejpam-6216	280	27	}	}	PUNCT
ejpam-6216	280	28	given	give	VERB
ejpam-6216	280	29	in	in	ADP
ejpam-6216	280	30	figure	figure	NOUN
ejpam-6216	280	31	3	3	NUM
ejpam-6216	280	32	:	:	SYM
ejpam-6216	280	33	ξ(0.3,−0.2	ξ(0.3,−0.2	NUM
ejpam-6216	280	34	)	)	PUNCT
ejpam-6216	280	35	κ	κ	NOUN
ejpam-6216	280	36	(	(	PUNCT
ejpam-6216	280	37	0.2,−0.3	0.2,−0.3	NUM
ejpam-6216	280	38	)	)	PUNCT
ejpam-6216	280	39	ε	ε	PROPN
ejpam-6216	280	40	(	(	PUNCT
ejpam-6216	280	41	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	280	42	)	)	PUNCT
ejpam-6216	280	43	δ	δ	NOUN
ejpam-6216	280	44	(	(	PUNCT
ejpam-6216	280	45	0.2,−0.2	0.2,−0.2	NOUN
ejpam-6216	280	46	)	)	PUNCT
ejpam-6216	280	47	(	(	PUNCT
ejpam-6216	280	48	0.2	0.2	NUM
ejpam-6216	280	49	,	,	PUNCT
ejpam-6216	280	50	-0.2	-0.2	NOUN
ejpam-6216	280	51	)	)	PUNCT
ejpam-6216	280	52	(	(	PUNCT
ejpam-6216	280	53	0.1	0.1	NUM
ejpam-6216	280	54	,	,	PUNCT
ejpam-6216	280	55	-0.2	-0.2	NOUN
ejpam-6216	280	56	)	)	PUNCT
ejpam-6216	280	57	(	(	PUNCT
ejpam-6216	280	58	0.1	0.1	NUM
ejpam-6216	280	59	,	,	PUNCT
ejpam-6216	280	60	-0.05	-0.05	NUM
ejpam-6216	280	61	)	)	PUNCT
ejpam-6216	280	62	(	(	PUNCT
ejpam-6216	280	63	0.2	0.2	NUM
ejpam-6216	280	64	,	,	PUNCT
ejpam-6216	280	65	-0.1	-0.1	PROPN
ejpam-6216	280	66	)	)	PUNCT
ejpam-6216	280	67	γ	γ	NOUN
ejpam-6216	280	68	=	=	SYM
ejpam-6216	280	69	(	(	PUNCT
ejpam-6216	280	70	υw	υw	ADJ
ejpam-6216	280	71	,	,	PUNCT
ejpam-6216	280	72	lλ	lλ	NOUN
ejpam-6216	280	73	)	)	PUNCT
ejpam-6216	280	74	ξ(0.4,−0.5	ξ(0.4,−0.5	NUM
ejpam-6216	280	75	)	)	PUNCT
ejpam-6216	280	76	κ	κ	PROPN
ejpam-6216	280	77	(	(	PUNCT
ejpam-6216	280	78	0.5,−0.3	0.5,−0.3	PROPN
ejpam-6216	280	79	)	)	PUNCT
ejpam-6216	280	80	ε	ε	PROPN
ejpam-6216	280	81	(	(	PUNCT
ejpam-6216	280	82	0.6,−0.2	0.6,−0.2	NUM
ejpam-6216	280	83	)	)	PUNCT
ejpam-6216	280	84	δ	δ	PROPN
ejpam-6216	280	85	(	(	PUNCT
ejpam-6216	280	86	0.3,−0.5	0.3,−0.5	NUM
ejpam-6216	280	87	)	)	PUNCT
ejpam-6216	280	88	(	(	PUNCT
ejpam-6216	280	89	0.4	0.4	NUM
ejpam-6216	280	90	,	,	PUNCT
ejpam-6216	280	91	-0.3	-0.3	NUM
ejpam-6216	280	92	)	)	PUNCT
ejpam-6216	280	93	(	(	PUNCT
ejpam-6216	280	94	0.5	0.5	NUM
ejpam-6216	280	95	,	,	PUNCT
ejpam-6216	280	96	-0.2	-0.2	NUM
ejpam-6216	280	97	)	)	PUNCT
ejpam-6216	280	98	(	(	PUNCT
ejpam-6216	280	99	0.2	0.2	NUM
ejpam-6216	280	100	,	,	PUNCT
ejpam-6216	280	101	-0.4	-0.4	NUM
ejpam-6216	280	102	)	)	PUNCT
ejpam-6216	280	103	(	(	PUNCT
ejpam-6216	280	104	0.3	0.3	NUM
ejpam-6216	280	105	,	,	PUNCT
ejpam-6216	280	106	-0.3	-0.3	NUM
ejpam-6216	280	107	)	)	PUNCT
ejpam-6216	280	108	γ	γ	NOUN
ejpam-6216	280	109	=	=	SYM
ejpam-6216	280	110	(	(	PUNCT
ejpam-6216	280	111	υw	υw	ADJ
ejpam-6216	280	112	,	,	PUNCT
ejpam-6216	280	113	lλ	lλ	NOUN
ejpam-6216	280	114	)	)	PUNCT
ejpam-6216	280	115	figure	figure	NOUN
ejpam-6216	280	116	3	3	NUM
ejpam-6216	280	117	:	:	PUNCT
ejpam-6216	280	118	γ	γ	X
ejpam-6216	280	119	=	=	SYM
ejpam-6216	280	120	(	(	PUNCT
ejpam-6216	280	121	γ	γ	X
ejpam-6216	280	122	,	,	PUNCT
ejpam-6216	280	123	γ	γ	NOUN
ejpam-6216	280	124	)	)	PUNCT
ejpam-6216	280	125	conn+	conn+	PART
ejpam-6216	280	126	γ−ξκ(ξ	γ−ξκ(ξ	PROPN
ejpam-6216	280	127	,	,	PUNCT
ejpam-6216	280	128	κ	κ	NOUN
ejpam-6216	280	129	)	)	PUNCT
ejpam-6216	280	130	=	=	NOUN
ejpam-6216	280	131	0	0	NUM
ejpam-6216	280	132	≤	≤	NUM
ejpam-6216	280	133	0.2	0.2	NUM
ejpam-6216	280	134	=	=	SYM
ejpam-6216	280	135	lλ+(ξ	lλ+(ξ	PROPN
ejpam-6216	280	136	,	,	PUNCT
ejpam-6216	280	137	κ	κ	NOUN
ejpam-6216	280	138	)	)	PUNCT
ejpam-6216	280	139	conn−	conn−	NOUN
ejpam-6216	280	140	γ−ξκ(ξ	γ−ξκ(ξ	NOUN
ejpam-6216	280	141	,	,	PUNCT
ejpam-6216	280	142	κ	κ	NOUN
ejpam-6216	280	143	)	)	PUNCT
ejpam-6216	281	1	=	=	SYM
ejpam-6216	281	2	0	0	NUM
ejpam-6216	281	3	≥	≥	NOUN
ejpam-6216	281	4	−0.2	−0.2	PROPN
ejpam-6216	281	5	=	=	SYM
ejpam-6216	281	6	lλ−(ξ	lλ−(ξ	PROPN
ejpam-6216	281	7	,	,	PUNCT
ejpam-6216	281	8	κ	κ	NOUN
ejpam-6216	281	9	)	)	PUNCT
ejpam-6216	281	10	conn+	conn+	PRON
ejpam-6216	281	11	γ−κϵ(κ	γ−κϵ(κ	NOUN
ejpam-6216	281	12	,	,	PUNCT
ejpam-6216	281	13	ϵ	ϵ	NOUN
ejpam-6216	281	14	)	)	PUNCT
ejpam-6216	281	15	=	=	SYM
ejpam-6216	281	16	0	0	NUM
ejpam-6216	281	17	≤	≤	NUM
ejpam-6216	281	18	0.1	0.1	NUM
ejpam-6216	281	19	=	=	SYM
ejpam-6216	281	20	lλ+(κ	lλ+(κ	PROPN
ejpam-6216	281	21	,	,	PUNCT
ejpam-6216	281	22	ϵ	ϵ	NOUN
ejpam-6216	281	23	)	)	PUNCT
ejpam-6216	281	24	conn−	conn−	NOUN
ejpam-6216	281	25	γ−κϵ(κ	γ−κϵ(κ	NOUN
ejpam-6216	281	26	,	,	PUNCT
ejpam-6216	281	27	ϵ	ϵ	NOUN
ejpam-6216	281	28	)	)	PUNCT
ejpam-6216	281	29	=	=	SYM
ejpam-6216	281	30	0	0	NUM
ejpam-6216	281	31	≥	≥	NOUN
ejpam-6216	281	32	−0.2	−0.2	PROPN
ejpam-6216	281	33	=	=	PUNCT
ejpam-6216	281	34	lλ−(κ	lλ−(κ	PROPN
ejpam-6216	281	35	,	,	PUNCT
ejpam-6216	281	36	ϵ	ϵ	X
ejpam-6216	281	37	)	)	PUNCT
ejpam-6216	281	38	conn+	conn+	PART
ejpam-6216	281	39	γ−κδ(κ	γ−κδ(κ	PROPN
ejpam-6216	281	40	,	,	PUNCT
ejpam-6216	281	41	δ	δ	X
ejpam-6216	281	42	)	)	PUNCT
ejpam-6216	281	43	=	=	NOUN
ejpam-6216	281	44	0	0	NUM
ejpam-6216	281	45	≤	≤	NUM
ejpam-6216	281	46	0.2	0.2	NUM
ejpam-6216	281	47	=	=	SYM
ejpam-6216	281	48	lλ+(κ	lλ+(κ	PROPN
ejpam-6216	281	49	,	,	PUNCT
ejpam-6216	281	50	δ	δ	PROPN
ejpam-6216	281	51	)	)	PUNCT
ejpam-6216	281	52	conn−	conn−	NOUN
ejpam-6216	281	53	γ−κδ(κ	γ−κδ(κ	PROPN
ejpam-6216	281	54	,	,	PUNCT
ejpam-6216	281	55	δ	δ	X
ejpam-6216	281	56	)	)	PUNCT
ejpam-6216	282	1	=	=	SYM
ejpam-6216	282	2	0	0	NUM
ejpam-6216	282	3	≥	≥	NOUN
ejpam-6216	282	4	−0.1	−0.1	PROPN
ejpam-6216	282	5	=	=	SYM
ejpam-6216	282	6	lλ−(κ	lλ−(κ	PROPN
ejpam-6216	282	7	,	,	PUNCT
ejpam-6216	282	8	δ	δ	PROPN
ejpam-6216	282	9	)	)	PUNCT
ejpam-6216	282	10	conn+	conn+	VERB
ejpam-6216	282	11	γ−ξδ(ξ	γ−ξδ(ξ	ADV
ejpam-6216	282	12	,	,	PUNCT
ejpam-6216	282	13	δ	δ	X
ejpam-6216	282	14	)	)	PUNCT
ejpam-6216	283	1	=	=	NOUN
ejpam-6216	283	2	0.2	0.2	NUM
ejpam-6216	283	3	≥	≥	NOUN
ejpam-6216	283	4	0.1	0.1	NUM
ejpam-6216	283	5	=	=	SYM
ejpam-6216	283	6	lλ+(ξ	lλ+(ξ	PROPN
ejpam-6216	283	7	,	,	PUNCT
ejpam-6216	283	8	δ	δ	PROPN
ejpam-6216	283	9	)	)	PUNCT
ejpam-6216	283	10	conn−	conn−	VERB
ejpam-6216	283	11	γ−ξδ(ξ	γ−ξδ(ξ	ADV
ejpam-6216	283	12	,	,	PUNCT
ejpam-6216	283	13	δ	δ	NOUN
ejpam-6216	283	14	)	)	PUNCT
ejpam-6216	284	1	=	=	NOUN
ejpam-6216	284	2	−	−	NOUN
ejpam-6216	284	3	0.1	0.1	NUM
ejpam-6216	284	4	≤	≤	NOUN
ejpam-6216	284	5	−0.05	−0.05	NOUN
ejpam-6216	284	6	=	=	SYM
ejpam-6216	284	7	lλ−(ξ	lλ−(ξ	PROPN
ejpam-6216	284	8	,	,	PUNCT
ejpam-6216	284	9	δ	δ	PROPN
ejpam-6216	284	10	)	)	PUNCT
ejpam-6216	284	11	conn+	conn+	PART
ejpam-6216	284	12	γ−ξκ	γ−ξκ	PROPN
ejpam-6216	284	13	(	(	PUNCT
ejpam-6216	284	14	ξ	ξ	PROPN
ejpam-6216	284	15	,	,	PUNCT
ejpam-6216	284	16	κ	κ	NOUN
ejpam-6216	284	17	)	)	PUNCT
ejpam-6216	284	18	=	=	NOUN
ejpam-6216	284	19	0	0	NUM
ejpam-6216	284	20	≤	≤	NUM
ejpam-6216	284	21	0.4	0.4	NUM
ejpam-6216	284	22	=	=	SYM
ejpam-6216	284	23	lλ+(ξ	lλ+(ξ	PROPN
ejpam-6216	284	24	,	,	PUNCT
ejpam-6216	284	25	κ	κ	NOUN
ejpam-6216	284	26	)	)	PUNCT
ejpam-6216	284	27	conn−	conn−	NOUN
ejpam-6216	284	28	γ−ξ	γ−ξ	NOUN
ejpam-6216	284	29	,	,	PUNCT
ejpam-6216	284	30	κ	κ	X
ejpam-6216	284	31	(	(	PUNCT
ejpam-6216	284	32	ξ	ξ	PROPN
ejpam-6216	284	33	,	,	PUNCT
ejpam-6216	284	34	κ	κ	NOUN
ejpam-6216	284	35	)	)	PUNCT
ejpam-6216	284	36	=	=	SYM
ejpam-6216	284	37	0	0	NUM
ejpam-6216	284	38	≥	≥	NOUN
ejpam-6216	284	39	−0.3	−0.3	X
ejpam-6216	284	40	=	=	SYM
ejpam-6216	284	41	lλ−(ξ	lλ−(ξ	PROPN
ejpam-6216	284	42	,	,	PUNCT
ejpam-6216	284	43	κ	κ	NOUN
ejpam-6216	284	44	)	)	PUNCT
ejpam-6216	284	45	conn+	conn+	NOUN
ejpam-6216	284	46	γ−κϵ	γ−κϵ	NOUN
ejpam-6216	284	47	(	(	PUNCT
ejpam-6216	284	48	κ	κ	NOUN
ejpam-6216	284	49	,	,	PUNCT
ejpam-6216	284	50	ϵ	ϵ	NOUN
ejpam-6216	284	51	)	)	PUNCT
ejpam-6216	284	52	=	=	SYM
ejpam-6216	284	53	0	0	NUM
ejpam-6216	284	54	≤	≤	NUM
ejpam-6216	284	55	0.5	0.5	NUM
ejpam-6216	284	56	=	=	SYM
ejpam-6216	284	57	lλ+(κ	lλ+(κ	PROPN
ejpam-6216	284	58	,	,	PUNCT
ejpam-6216	284	59	ϵ	ϵ	X
ejpam-6216	284	60	)	)	PUNCT
ejpam-6216	284	61	conn−	conn−	NOUN
ejpam-6216	284	62	γ−κϵ	γ−κϵ	NOUN
ejpam-6216	284	63	(	(	PUNCT
ejpam-6216	284	64	κ	κ	NOUN
ejpam-6216	284	65	,	,	PUNCT
ejpam-6216	284	66	ϵ	ϵ	NOUN
ejpam-6216	284	67	)	)	PUNCT
ejpam-6216	284	68	=	=	SYM
ejpam-6216	284	69	0	0	NUM
ejpam-6216	284	70	≥	≥	NOUN
ejpam-6216	284	71	−0.2	−0.2	PROPN
ejpam-6216	284	72	=	=	PUNCT
ejpam-6216	284	73	lλ−(κ	lλ−(κ	PROPN
ejpam-6216	284	74	,	,	PUNCT
ejpam-6216	284	75	ϵ	ϵ	X
ejpam-6216	284	76	)	)	PUNCT
ejpam-6216	284	77	conn+	conn+	VERB
ejpam-6216	284	78	γ−κδ	γ−κδ	NOUN
ejpam-6216	284	79	(	(	PUNCT
ejpam-6216	284	80	κ	κ	NOUN
ejpam-6216	284	81	,	,	PUNCT
ejpam-6216	284	82	δ	δ	NOUN
ejpam-6216	284	83	)	)	PUNCT
ejpam-6216	285	1	=	=	NOUN
ejpam-6216	285	2	0	0	NUM
ejpam-6216	285	3	≤	≤	NUM
ejpam-6216	285	4	0.3	0.3	NUM
ejpam-6216	285	5	=	=	SYM
ejpam-6216	285	6	lλ+(κ	lλ+(κ	PROPN
ejpam-6216	285	7	,	,	PUNCT
ejpam-6216	285	8	δ	δ	PROPN
ejpam-6216	285	9	)	)	PUNCT
ejpam-6216	285	10	conn−	conn−	NOUN
ejpam-6216	285	11	γ−κδ	γ−κδ	NOUN
ejpam-6216	285	12	(	(	PUNCT
ejpam-6216	285	13	κ	κ	NOUN
ejpam-6216	285	14	,	,	PUNCT
ejpam-6216	285	15	δ	δ	NOUN
ejpam-6216	285	16	)	)	PUNCT
ejpam-6216	286	1	=	=	SYM
ejpam-6216	286	2	0	0	NUM
ejpam-6216	286	3	≥	≥	NOUN
ejpam-6216	286	4	−0.3	−0.3	PROPN
ejpam-6216	286	5	=	=	SYM
ejpam-6216	286	6	lλ−(κ	lλ−(κ	PROPN
ejpam-6216	286	7	,	,	PUNCT
ejpam-6216	286	8	δ	δ	PROPN
ejpam-6216	286	9	)	)	PUNCT
ejpam-6216	286	10	conn+	conn+	PART
ejpam-6216	286	11	γ−ξδ	γ−ξδ	NOUN
ejpam-6216	286	12	(	(	PUNCT
ejpam-6216	286	13	ξ	ξ	PROPN
ejpam-6216	286	14	,	,	PUNCT
ejpam-6216	286	15	δ	δ	X
ejpam-6216	286	16	)	)	PUNCT
ejpam-6216	286	17	=	=	NOUN
ejpam-6216	286	18	0.3	0.3	NUM
ejpam-6216	286	19	≥	≥	NOUN
ejpam-6216	286	20	0.2	0.2	NUM
ejpam-6216	286	21	=	=	SYM
ejpam-6216	286	22	lλ+(ξ	lλ+(ξ	PROPN
ejpam-6216	286	23	,	,	PUNCT
ejpam-6216	286	24	δ	δ	PROPN
ejpam-6216	286	25	)	)	PUNCT
ejpam-6216	286	26	conn−	conn−	NOUN
ejpam-6216	286	27	γ−ξδ	γ−ξδ	PROPN
ejpam-6216	286	28	(	(	PUNCT
ejpam-6216	286	29	ξ	ξ	PROPN
ejpam-6216	286	30	,	,	PUNCT
ejpam-6216	286	31	δ	δ	NOUN
ejpam-6216	286	32	)	)	PUNCT
ejpam-6216	287	1	=	=	NOUN
ejpam-6216	287	2	−	−	PROPN
ejpam-6216	287	3	0.3	0.3	NUM
ejpam-6216	287	4	≤	≤	NUM
ejpam-6216	287	5	−0.4	−0.4	NUM
ejpam-6216	288	1	=	=	PUNCT
ejpam-6216	288	2	lλ−(ξ	lλ−(ξ	PROPN
ejpam-6216	288	3	,	,	PUNCT
ejpam-6216	288	4	δ	δ	PROPN
ejpam-6216	288	5	)	)	PUNCT
ejpam-6216	288	6	a.	a.	PROPN
ejpam-6216	288	7	arif	arif	PROPN
ejpam-6216	288	8	et	et	PROPN
ejpam-6216	288	9	al	al	PROPN
ejpam-6216	288	10	.	.	PUNCT
ejpam-6216	288	11	/	/	SYM
ejpam-6216	288	12	eur	eur	PROPN
ejpam-6216	288	13	.	.	PUNCT
ejpam-6216	289	1	j.	j.	PROPN
ejpam-6216	289	2	pure	pure	PROPN
ejpam-6216	289	3	appl	appl	PROPN
ejpam-6216	289	4	.	.	PROPN
ejpam-6216	289	5	math	math	PROPN
ejpam-6216	289	6	,	,	PUNCT
ejpam-6216	289	7	18	18	NUM
ejpam-6216	289	8	(	(	PUNCT
ejpam-6216	289	9	4	4	NUM
ejpam-6216	289	10	)	)	PUNCT
ejpam-6216	289	11	(	(	PUNCT
ejpam-6216	289	12	2025	2025	NUM
ejpam-6216	289	13	)	)	PUNCT
ejpam-6216	289	14	,	,	PUNCT
ejpam-6216	289	15	6216	6216	NUM
ejpam-6216	289	16	16	16	NUM
ejpam-6216	289	17	of	of	ADP
ejpam-6216	289	18	36	36	NUM
ejpam-6216	289	19	therefore	therefore	ADV
ejpam-6216	289	20	ξκ	ξκ	VERB
ejpam-6216	289	21	,	,	PUNCT
ejpam-6216	289	22	κϵ	κϵ	NOUN
ejpam-6216	289	23	,	,	PUNCT
ejpam-6216	289	24	and	and	CCONJ
ejpam-6216	289	25	κδ	κδ	NOUN
ejpam-6216	289	26	are	be	AUX
ejpam-6216	289	27	strong	strong	ADJ
ejpam-6216	289	28	edges	edge	NOUN
ejpam-6216	289	29	but	but	CCONJ
ejpam-6216	289	30	ξδ	ξδ	ADV
ejpam-6216	289	31	is	be	AUX
ejpam-6216	289	32	not	not	PART
ejpam-6216	289	33	a	a	DET
ejpam-6216	289	34	strong	strong	ADJ
ejpam-6216	289	35	edge	edge	NOUN
ejpam-6216	289	36	.	.	PUNCT
ejpam-6216	290	1	the	the	DET
ejpam-6216	290	2	lower	low	ADJ
ejpam-6216	290	3	minimum	minimum	ADJ
ejpam-6216	290	4	dominating	dominating	NOUN
ejpam-6216	290	5	set	set	VERB
ejpam-6216	290	6	in	in	ADP
ejpam-6216	290	7	γ	γ	PROPN
ejpam-6216	290	8	is	be	AUX
ejpam-6216	290	9	d	d	NOUN
ejpam-6216	290	10	=	=	PUNCT
ejpam-6216	290	11	{	{	PUNCT
ejpam-6216	290	12	κ	κ	NOUN
ejpam-6216	290	13	,	,	PUNCT
ejpam-6216	290	14	ξ	ξ	NOUN
ejpam-6216	290	15	}	}	PUNCT
ejpam-6216	290	16	and	and	CCONJ
ejpam-6216	290	17	the	the	DET
ejpam-6216	290	18	upper	upper	ADJ
ejpam-6216	290	19	minimum	minimum	NOUN
ejpam-6216	290	20	dominating	dominating	NOUN
ejpam-6216	290	21	set	set	VERB
ejpam-6216	290	22	in	in	ADP
ejpam-6216	290	23	γ	γ	PROPN
ejpam-6216	290	24	is	be	AUX
ejpam-6216	290	25	d	d	NOUN
ejpam-6216	290	26	=	=	PUNCT
ejpam-6216	290	27	{	{	PUNCT
ejpam-6216	290	28	κ	κ	NOUN
ejpam-6216	290	29	,	,	PUNCT
ejpam-6216	290	30	ξ	ξ	NOUN
ejpam-6216	290	31	}	}	PUNCT
ejpam-6216	290	32	.	.	PUNCT
ejpam-6216	291	1	the	the	DET
ejpam-6216	291	2	fuzzy	fuzzy	ADJ
ejpam-6216	291	3	cardinality	cardinality	NOUN
ejpam-6216	291	4	of	of	ADP
ejpam-6216	291	5	mds	mds	PROPN
ejpam-6216	291	6	in	in	ADP
ejpam-6216	291	7	γ	γ	PROPN
ejpam-6216	291	8	is	be	AUX
ejpam-6216	291	9	:	:	PUNCT
ejpam-6216	291	10	ωd(γ	ωd(γ	NUM
ejpam-6216	291	11	)	)	PUNCT
ejpam-6216	291	12	=	=	SYM
ejpam-6216	291	13	1	1	NUM
ejpam-6216	291	14	+	+	CCONJ
ejpam-6216	291	15	υw+(κ	υw+(κ	PROPN
ejpam-6216	291	16	)	)	PUNCT
ejpam-6216	292	1	+	+	CCONJ
ejpam-6216	292	2	υw−(κ	υw−(κ	NOUN
ejpam-6216	292	3	)	)	PUNCT
ejpam-6216	292	4	2	2	NUM
ejpam-6216	293	1	+	+	CCONJ
ejpam-6216	293	2	1	1	NUM
ejpam-6216	293	3	+	+	CCONJ
ejpam-6216	293	4	υw+(ξ	υw+(ξ	PROPN
ejpam-6216	293	5	)	)	PUNCT
ejpam-6216	293	6	+	+	PUNCT
ejpam-6216	293	7	υw−(ξ	υw−(ξ	X
ejpam-6216	293	8	)	)	PUNCT
ejpam-6216	293	9	2	2	NUM
ejpam-6216	293	10	=	=	SYM
ejpam-6216	293	11	1	1	NUM
ejpam-6216	293	12	+	+	NUM
ejpam-6216	293	13	0.2	0.2	NUM
ejpam-6216	293	14	+	+	CCONJ
ejpam-6216	293	15	(	(	PUNCT
ejpam-6216	293	16	−0.3	−0.3	PROPN
ejpam-6216	293	17	)	)	PUNCT
ejpam-6216	293	18	2	2	NUM
ejpam-6216	294	1	+	+	CCONJ
ejpam-6216	294	2	1	1	NUM
ejpam-6216	294	3	+	+	NUM
ejpam-6216	294	4	0.3	0.3	NUM
ejpam-6216	294	5	+	+	CCONJ
ejpam-6216	294	6	(	(	PUNCT
ejpam-6216	294	7	−0.2	−0.2	PROPN
ejpam-6216	294	8	)	)	PUNCT
ejpam-6216	294	9	2	2	NUM
ejpam-6216	294	10	=	=	SYM
ejpam-6216	294	11	1	1	NUM
ejpam-6216	294	12	the	the	DET
ejpam-6216	294	13	fuzzy	fuzzy	ADJ
ejpam-6216	294	14	cardinality	cardinality	NOUN
ejpam-6216	294	15	of	of	ADP
ejpam-6216	294	16	mds	mds	PROPN
ejpam-6216	294	17	in	in	ADP
ejpam-6216	294	18	γ	γ	PROPN
ejpam-6216	294	19	is	be	AUX
ejpam-6216	294	20	:	:	PUNCT
ejpam-6216	294	21	ωd(γ	ωd(γ	NUM
ejpam-6216	294	22	)	)	PUNCT
ejpam-6216	294	23	=	=	SYM
ejpam-6216	294	24	1	1	NUM
ejpam-6216	294	25	+	+	CCONJ
ejpam-6216	294	26	υw+(κ	υw+(κ	PROPN
ejpam-6216	294	27	)	)	PUNCT
ejpam-6216	295	1	+	+	CCONJ
ejpam-6216	295	2	υw−(κ	υw−(κ	NOUN
ejpam-6216	295	3	)	)	PUNCT
ejpam-6216	295	4	2	2	NUM
ejpam-6216	296	1	+	+	CCONJ
ejpam-6216	296	2	1	1	NUM
ejpam-6216	296	3	+	+	CCONJ
ejpam-6216	296	4	υw+(ξ	υw+(ξ	PROPN
ejpam-6216	296	5	)	)	PUNCT
ejpam-6216	296	6	+	+	PUNCT
ejpam-6216	296	7	υw−(ξ	υw−(ξ	X
ejpam-6216	296	8	)	)	PUNCT
ejpam-6216	296	9	2	2	NUM
ejpam-6216	296	10	=	=	SYM
ejpam-6216	296	11	1	1	NUM
ejpam-6216	296	12	+	+	NUM
ejpam-6216	296	13	0.5	0.5	NUM
ejpam-6216	296	14	+	+	CCONJ
ejpam-6216	296	15	(	(	PUNCT
ejpam-6216	296	16	−0.3	−0.3	PROPN
ejpam-6216	296	17	)	)	PUNCT
ejpam-6216	296	18	2	2	NUM
ejpam-6216	296	19	+	+	CCONJ
ejpam-6216	296	20	1	1	NUM
ejpam-6216	296	21	+	+	NUM
ejpam-6216	296	22	0.4	0.4	NUM
ejpam-6216	296	23	+	+	CCONJ
ejpam-6216	296	24	(	(	PUNCT
ejpam-6216	296	25	−0.5	−0.5	NOUN
ejpam-6216	296	26	)	)	PUNCT
ejpam-6216	296	27	2	2	NUM
ejpam-6216	296	28	=	=	SYM
ejpam-6216	296	29	1.05	1.05	NUM
ejpam-6216	296	30	the	the	DET
ejpam-6216	296	31	domination	domination	NOUN
ejpam-6216	296	32	number	number	NOUN
ejpam-6216	296	33	of	of	ADP
ejpam-6216	296	34	bfrd	bfrd	NOUN
ejpam-6216	296	35	is	be	AUX
ejpam-6216	296	36	:	:	PUNCT
ejpam-6216	296	37	ωd(γ	ωd(γ	NUM
ejpam-6216	296	38	)	)	PUNCT
ejpam-6216	296	39	=	=	SYM
ejpam-6216	296	40	ωd(γ	ωd(γ	X
ejpam-6216	296	41	)	)	PUNCT
ejpam-6216	296	42	+	+	NUM
ejpam-6216	296	43	ωd(γ	ωd(γ	X
ejpam-6216	296	44	)	)	PUNCT
ejpam-6216	296	45	=	=	SYM
ejpam-6216	297	1	1	1	NUM
ejpam-6216	297	2	+	+	NUM
ejpam-6216	297	3	1.05	1.05	NUM
ejpam-6216	297	4	=	=	SYM
ejpam-6216	297	5	2.05	2.05	NUM
ejpam-6216	297	6	minimum	minimum	ADJ
ejpam-6216	297	7	dominating	dominating	NOUN
ejpam-6216	297	8	set	set	NOUN
ejpam-6216	297	9	bounds	bound	NOUN
ejpam-6216	297	10	.	.	PUNCT
ejpam-6216	298	1	let	let	VERB
ejpam-6216	298	2	γ	γ	X
ejpam-6216	298	3	=	=	SYM
ejpam-6216	298	4	(	(	PUNCT
ejpam-6216	298	5	γ	γ	X
ejpam-6216	298	6	,	,	PUNCT
ejpam-6216	298	7	γ	γ	NOUN
ejpam-6216	298	8	)	)	PUNCT
ejpam-6216	298	9	be	be	VERB
ejpam-6216	298	10	a	a	DET
ejpam-6216	298	11	bfrd	bfrd	NOUN
ejpam-6216	298	12	.	.	PUNCT
ejpam-6216	299	1	let	let	VERB
ejpam-6216	299	2	ϵ0ϵ1	ϵ0ϵ1	AUX
ejpam-6216	299	3	be	be	AUX
ejpam-6216	299	4	a	a	DET
ejpam-6216	299	5	strong	strong	ADJ
ejpam-6216	299	6	edge	edge	NOUN
ejpam-6216	299	7	in	in	ADP
ejpam-6216	299	8	γ	γ	NOUN
ejpam-6216	299	9	,	,	PUNCT
ejpam-6216	299	10	∀ϵ1	∀ϵ1	AUX
ejpam-6216	299	11	∈	∈	PROPN
ejpam-6216	299	12	γ	γ	PROPN
ejpam-6216	299	13	then	then	ADV
ejpam-6216	299	14	the	the	DET
ejpam-6216	299	15	mds	mds	PROPN
ejpam-6216	299	16	is	be	AUX
ejpam-6216	299	17	:	:	PUNCT
ejpam-6216	299	18	d	d	X
ejpam-6216	299	19	=	=	PUNCT
ejpam-6216	299	20	{	{	PUNCT
ejpam-6216	299	21	ϵ0	ϵ0	NOUN
ejpam-6216	299	22	}	}	PUNCT
ejpam-6216	299	23	therefore	therefore	ADV
ejpam-6216	299	24	,	,	PUNCT
ejpam-6216	299	25	a	a	DET
ejpam-6216	299	26	mds	mds	NOUN
ejpam-6216	299	27	has	have	VERB
ejpam-6216	299	28	a	a	DET
ejpam-6216	299	29	minimum	minimum	NOUN
ejpam-6216	299	30	of	of	ADP
ejpam-6216	299	31	1	1	NUM
ejpam-6216	299	32	vertex	vertex	NOUN
ejpam-6216	299	33	.	.	PUNCT
ejpam-6216	300	1	a	a	DET
ejpam-6216	300	2	mds	mds	NOUN
ejpam-6216	300	3	is	be	AUX
ejpam-6216	300	4	always	always	ADV
ejpam-6216	300	5	a	a	DET
ejpam-6216	300	6	subset	subset	NOUN
ejpam-6216	300	7	of	of	ADP
ejpam-6216	300	8	a	a	DET
ejpam-6216	300	9	vertex	vertex	NOUN
ejpam-6216	300	10	set	set	VERB
ejpam-6216	300	11	with	with	ADP
ejpam-6216	300	12	n	n	CCONJ
ejpam-6216	300	13	vertices	vertex	NOUN
ejpam-6216	300	14	x	x	PUNCT
ejpam-6216	300	15	such	such	ADJ
ejpam-6216	300	16	that	that	SCONJ
ejpam-6216	300	17	:	:	PUNCT
ejpam-6216	300	18	d	d	X
ejpam-6216	300	19	⊆	⊆	NUM
ejpam-6216	300	20	x	x	SYM
ejpam-6216	300	21	therefore	therefore	ADV
ejpam-6216	300	22	,	,	PUNCT
ejpam-6216	300	23	a	a	DET
ejpam-6216	300	24	mds	mds	NOUN
ejpam-6216	300	25	has	have	VERB
ejpam-6216	300	26	a	a	DET
ejpam-6216	300	27	maximum	maximum	NOUN
ejpam-6216	300	28	of	of	ADP
ejpam-6216	300	29	n	n	NOUN
ejpam-6216	300	30	vertices	vertex	NOUN
ejpam-6216	300	31	.	.	PUNCT
ejpam-6216	301	1	remark	remark	NOUN
ejpam-6216	301	2	.	.	PUNCT
ejpam-6216	302	1	every	every	DET
ejpam-6216	302	2	mds	mds	NOUN
ejpam-6216	302	3	is	be	AUX
ejpam-6216	302	4	a	a	DET
ejpam-6216	302	5	minimal	minimal	ADJ
ejpam-6216	302	6	dominating	dominating	NOUN
ejpam-6216	302	7	set	set	VERB
ejpam-6216	302	8	in	in	ADP
ejpam-6216	302	9	a	a	DET
ejpam-6216	302	10	bfrd	bfrd	NOUN
ejpam-6216	302	11	.	.	PUNCT
ejpam-6216	303	1	theorem	theorem	NOUN
ejpam-6216	303	2	1	1	NUM
ejpam-6216	303	3	.	.	PUNCT
ejpam-6216	303	4	ω(γ	ω(γ	NUM
ejpam-6216	303	5	=	=	SYM
ejpam-6216	303	6	(	(	PUNCT
ejpam-6216	303	7	γ	γ	X
ejpam-6216	303	8	,	,	PUNCT
ejpam-6216	303	9	γ	γ	NOUN
ejpam-6216	303	10	)	)	PUNCT
ejpam-6216	303	11	)	)	PUNCT
ejpam-6216	303	12	≤	≤	NUM
ejpam-6216	303	13	|v	|v	X
ejpam-6216	303	14	(	(	PUNCT
ejpam-6216	303	15	γ)|	γ)|	NOUN
ejpam-6216	303	16	where	where	SCONJ
ejpam-6216	303	17	|v	|v	PROPN
ejpam-6216	303	18	(	(	PUNCT
ejpam-6216	303	19	γ)|	γ)|	NOUN
ejpam-6216	303	20	=	=	X
ejpam-6216	303	21	|v	|v	PROPN
ejpam-6216	303	22	(	(	PUNCT
ejpam-6216	303	23	γ)|	γ)|	NOUN
ejpam-6216	303	24	+	+	CCONJ
ejpam-6216	303	25	|v	|v	PROPN
ejpam-6216	303	26	(	(	PUNCT
ejpam-6216	303	27	γ)|	γ)|	NOUN
ejpam-6216	303	28	is	be	AUX
ejpam-6216	303	29	the	the	DET
ejpam-6216	303	30	order	order	NOUN
ejpam-6216	303	31	of	of	ADP
ejpam-6216	303	32	bipolar	bipolar	ADJ
ejpam-6216	303	33	fuzzy	fuzzy	ADJ
ejpam-6216	303	34	rough	rough	ADJ
ejpam-6216	303	35	digraphs	digraph	NOUN
ejpam-6216	303	36	.	.	PUNCT
ejpam-6216	304	1	proof	proof	NOUN
ejpam-6216	304	2	:	:	PUNCT
ejpam-6216	304	3	by	by	ADP
ejpam-6216	304	4	definition	definition	NOUN
ejpam-6216	304	5	of	of	ADP
ejpam-6216	304	6	order	order	NOUN
ejpam-6216	304	7	of	of	ADP
ejpam-6216	304	8	bfrds	bfrd	NOUN
ejpam-6216	304	9	:	:	PUNCT
ejpam-6216	304	10	|v	|v	PROPN
ejpam-6216	304	11	(	(	PUNCT
ejpam-6216	304	12	γ)|	γ)|	NOUN
ejpam-6216	304	13	=	=	X
ejpam-6216	304	14	|v	|v	X
ejpam-6216	304	15	(	(	PUNCT
ejpam-6216	304	16	γ)|+	γ)|+	PROPN
ejpam-6216	304	17	|v	|v	NOUN
ejpam-6216	304	18	(	(	PUNCT
ejpam-6216	304	19	γ)|	γ)|	NOUN
ejpam-6216	304	20	where	where	SCONJ
ejpam-6216	304	21	{	{	PUNCT
ejpam-6216	304	22	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	304	23	=	=	SYM
ejpam-6216	304	24	∑	∑	PUNCT
ejpam-6216	304	25	ϵi∈v	ϵi∈v	X
ejpam-6216	304	26	1+υw+(ϵi)+υw−(ϵi	1+υw+(ϵi)+υw−(ϵi	NUM
ejpam-6216	304	27	)	)	PUNCT
ejpam-6216	304	28	2	2	NUM
ejpam-6216	304	29	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	304	30	=	=	PUNCT
ejpam-6216	304	31	∑	∑	PUNCT
ejpam-6216	304	32	ϵi∈v	ϵi∈v	X
ejpam-6216	304	33	1+υw+(ϵi)+υw−(ϵi	1+υw+(ϵi)+υw−(ϵi	NUM
ejpam-6216	304	34	)	)	PUNCT
ejpam-6216	304	35	2	2	NUM
ejpam-6216	304	36	a.	a.	NOUN
ejpam-6216	304	37	arif	arif	PROPN
ejpam-6216	304	38	et	et	PROPN
ejpam-6216	304	39	al	al	PROPN
ejpam-6216	304	40	.	.	PUNCT
ejpam-6216	304	41	/	/	SYM
ejpam-6216	304	42	eur	eur	PROPN
ejpam-6216	304	43	.	.	PUNCT
ejpam-6216	305	1	j.	j.	PROPN
ejpam-6216	305	2	pure	pure	PROPN
ejpam-6216	305	3	appl	appl	PROPN
ejpam-6216	305	4	.	.	PROPN
ejpam-6216	305	5	math	math	PROPN
ejpam-6216	305	6	,	,	PUNCT
ejpam-6216	305	7	18	18	NUM
ejpam-6216	305	8	(	(	PUNCT
ejpam-6216	305	9	4	4	NUM
ejpam-6216	305	10	)	)	PUNCT
ejpam-6216	305	11	(	(	PUNCT
ejpam-6216	305	12	2025	2025	NUM
ejpam-6216	305	13	)	)	PUNCT
ejpam-6216	305	14	,	,	PUNCT
ejpam-6216	305	15	6216	6216	NUM
ejpam-6216	305	16	17	17	NUM
ejpam-6216	305	17	of	of	ADP
ejpam-6216	305	18	36	36	NUM
ejpam-6216	305	19	such	such	ADJ
ejpam-6216	305	20	that	that	SCONJ
ejpam-6216	305	21	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	305	22	,	,	PUNCT
ejpam-6216	305	23	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	305	24	>	>	X
ejpam-6216	305	25	0	0	NUM
ejpam-6216	305	26	.	.	PUNCT
ejpam-6216	306	1	in	in	AUX
ejpam-6216	306	2	bfrd	bfrd	VERB
ejpam-6216	306	3	the	the	DET
ejpam-6216	306	4	mds	mds	PROPN
ejpam-6216	306	5	d(γ	d(γ	PROPN
ejpam-6216	306	6	)	)	PUNCT
ejpam-6216	306	7	of	of	ADP
ejpam-6216	306	8	γ	γ	X
ejpam-6216	306	9	=	=	SYM
ejpam-6216	306	10	(	(	PUNCT
ejpam-6216	306	11	γ	γ	X
ejpam-6216	306	12	,	,	PUNCT
ejpam-6216	306	13	γ	γ	NOUN
ejpam-6216	306	14	)	)	PUNCT
ejpam-6216	306	15	is	be	AUX
ejpam-6216	306	16	a	a	DET
ejpam-6216	306	17	subset	subset	NOUN
ejpam-6216	306	18	v	v	NOUN
ejpam-6216	306	19	of	of	ADP
ejpam-6216	306	20	γ	γ	X
ejpam-6216	306	21	=	=	SYM
ejpam-6216	306	22	(	(	PUNCT
ejpam-6216	306	23	γ	γ	X
ejpam-6216	306	24	,	,	PUNCT
ejpam-6216	306	25	γ	γ	NOUN
ejpam-6216	306	26	)	)	PUNCT
ejpam-6216	306	27	.	.	PUNCT
ejpam-6216	307	1	case	case	NOUN
ejpam-6216	307	2	1	1	NUM
ejpam-6216	307	3	:	:	PUNCT
ejpam-6216	307	4	if	if	SCONJ
ejpam-6216	307	5	γ	γ	X
ejpam-6216	307	6	=	=	X
ejpam-6216	307	7	(	(	PUNCT
ejpam-6216	307	8	γ	γ	X
ejpam-6216	307	9	,	,	PUNCT
ejpam-6216	307	10	γ	γ	NOUN
ejpam-6216	307	11	)	)	PUNCT
ejpam-6216	307	12	has	have	VERB
ejpam-6216	307	13	no	no	DET
ejpam-6216	307	14	strong	strong	ADJ
ejpam-6216	307	15	edge	edge	NOUN
ejpam-6216	307	16	then	then	ADV
ejpam-6216	307	17	d(γ	d(γ	ADJ
ejpam-6216	307	18	)	)	PUNCT
ejpam-6216	307	19	=	=	SYM
ejpam-6216	307	20	v	v	NOUN
ejpam-6216	307	21	:	:	PUNCT
ejpam-6216	307	22	ωd(γ	ωd(γ	NUM
ejpam-6216	307	23	)	)	PUNCT
ejpam-6216	308	1	=	=	X
ejpam-6216	308	2	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	308	3	=	=	SYM
ejpam-6216	308	4	∑	∑	PUNCT
ejpam-6216	308	5	ϵi∈v	ϵi∈v	SYM
ejpam-6216	308	6	1	1	NUM
ejpam-6216	308	7	+	+	CCONJ
ejpam-6216	308	8	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	308	9	)	)	PUNCT
ejpam-6216	308	10	+	+	PUNCT
ejpam-6216	308	11	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	308	12	)	)	PUNCT
ejpam-6216	308	13	2	2	NUM
ejpam-6216	308	14	ωd(γ	ωd(γ	NUM
ejpam-6216	308	15	)	)	PUNCT
ejpam-6216	309	1	=	=	X
ejpam-6216	309	2	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	309	3	=	=	SYM
ejpam-6216	309	4	∑	∑	PUNCT
ejpam-6216	309	5	ϵi∈v	ϵi∈v	SYM
ejpam-6216	309	6	1	1	NUM
ejpam-6216	309	7	+	+	CCONJ
ejpam-6216	309	8	υw+(ϵi	υw+(ϵi	NOUN
ejpam-6216	309	9	)	)	PUNCT
ejpam-6216	309	10	+	+	PUNCT
ejpam-6216	309	11	υw−(ϵi	υw−(ϵi	NOUN
ejpam-6216	309	12	)	)	PUNCT
ejpam-6216	309	13	2	2	NUM
ejpam-6216	309	14	ωd(γ	ωd(γ	NUM
ejpam-6216	309	15	)	)	PUNCT
ejpam-6216	309	16	=	=	NOUN
ejpam-6216	309	17	ωd(γ	ωd(γ	X
ejpam-6216	309	18	)	)	PUNCT
ejpam-6216	309	19	+	+	NUM
ejpam-6216	309	20	ωd(γ	ωd(γ	X
ejpam-6216	309	21	)	)	PUNCT
ejpam-6216	309	22	ωd(γ	ωd(γ	X
ejpam-6216	309	23	)	)	PUNCT
ejpam-6216	310	1	=	=	NOUN
ejpam-6216	310	2	|v(γ)|+	|v(γ)|+	ADJ
ejpam-6216	310	3	|v(γ)|	|v(γ)|	PROPN
ejpam-6216	310	4	ωd(γ	ωd(γ	NUM
ejpam-6216	310	5	)	)	PUNCT
ejpam-6216	311	1	=	=	X
ejpam-6216	311	2	|v(γ)|	|v(γ)|	NOUN
ejpam-6216	311	3	case	case	NOUN
ejpam-6216	311	4	2	2	NUM
ejpam-6216	311	5	:	:	PUNCT
ejpam-6216	311	6	if	if	SCONJ
ejpam-6216	311	7	there	there	PRON
ejpam-6216	311	8	is	be	VERB
ejpam-6216	311	9	at	at	ADV
ejpam-6216	311	10	least	least	ADJ
ejpam-6216	311	11	one	one	NUM
ejpam-6216	311	12	strong	strong	ADJ
ejpam-6216	311	13	edge	edge	NOUN
ejpam-6216	311	14	in	in	ADP
ejpam-6216	311	15	γ	γ	X
ejpam-6216	311	16	=	=	SYM
ejpam-6216	311	17	(	(	PUNCT
ejpam-6216	311	18	γ	γ	X
ejpam-6216	311	19	,	,	PUNCT
ejpam-6216	311	20	γ	γ	NOUN
ejpam-6216	311	21	)	)	PUNCT
ejpam-6216	311	22	which	which	PRON
ejpam-6216	311	23	is	be	AUX
ejpam-6216	311	24	strong	strong	ADJ
ejpam-6216	311	25	edge	edge	NOUN
ejpam-6216	311	26	in	in	ADP
ejpam-6216	311	27	γ	γ	NOUN
ejpam-6216	311	28	and	and	CCONJ
ejpam-6216	311	29	γ	γ	X
ejpam-6216	311	30	then	then	ADV
ejpam-6216	311	31	d(γ	d(γ	PROPN
ejpam-6216	311	32	)	)	PUNCT
ejpam-6216	311	33	⊂	⊂	PROPN
ejpam-6216	311	34	v	v	NOUN
ejpam-6216	311	35	:	:	PUNCT
ejpam-6216	311	36	ωd(γ	ωd(γ	NUM
ejpam-6216	311	37	)	)	PUNCT
ejpam-6216	311	38	<	<	X
ejpam-6216	311	39	|v	|v	X
ejpam-6216	311	40	(	(	PUNCT
ejpam-6216	311	41	γ)|	γ)|	NOUN
ejpam-6216	311	42	ωd(γ	ωd(γ	NUM
ejpam-6216	311	43	)	)	PUNCT
ejpam-6216	312	1	<	<	X
ejpam-6216	312	2	|v	|v	X
ejpam-6216	312	3	(	(	PUNCT
ejpam-6216	312	4	γ)|	γ)|	NOUN
ejpam-6216	312	5	ωd(γ	ωd(γ	NUM
ejpam-6216	312	6	)	)	PUNCT
ejpam-6216	312	7	=	=	NOUN
ejpam-6216	312	8	ωd(γ	ωd(γ	X
ejpam-6216	312	9	)	)	PUNCT
ejpam-6216	312	10	+	+	NUM
ejpam-6216	312	11	ωd(γ	ωd(γ	X
ejpam-6216	312	12	)	)	PUNCT
ejpam-6216	312	13	ωd(γ	ωd(γ	NUM
ejpam-6216	312	14	)	)	PUNCT
ejpam-6216	313	1	<	<	X
ejpam-6216	313	2	|v	|v	X
ejpam-6216	313	3	(	(	PUNCT
ejpam-6216	313	4	γ)|+	γ)|+	PROPN
ejpam-6216	313	5	|v	|v	NOUN
ejpam-6216	313	6	(	(	PUNCT
ejpam-6216	313	7	γ)|	γ)|	NOUN
ejpam-6216	313	8	ωd(γ	ωd(γ	NUM
ejpam-6216	313	9	)	)	PUNCT
ejpam-6216	313	10	<	<	X
ejpam-6216	313	11	|v	|v	X
ejpam-6216	313	12	(	(	PUNCT
ejpam-6216	313	13	γ)|	γ)|	NOUN
ejpam-6216	313	14	hence	hence	ADV
ejpam-6216	313	15	ω(γ	ω(γ	NUM
ejpam-6216	313	16	=	=	SYM
ejpam-6216	313	17	(	(	PUNCT
ejpam-6216	313	18	γ	γ	X
ejpam-6216	313	19	,	,	PUNCT
ejpam-6216	313	20	γ	γ	NOUN
ejpam-6216	313	21	)	)	PUNCT
ejpam-6216	313	22	)	)	PUNCT
ejpam-6216	313	23	≤	≤	NUM
ejpam-6216	313	24	|v	|v	X
ejpam-6216	313	25	(	(	PUNCT
ejpam-6216	313	26	γ)|	γ)|	NOUN
ejpam-6216	313	27	is	be	AUX
ejpam-6216	313	28	proved	prove	VERB
ejpam-6216	313	29	.	.	PUNCT
ejpam-6216	314	1	definition	definition	NOUN
ejpam-6216	314	2	20	20	NUM
ejpam-6216	314	3	.	.	PUNCT
ejpam-6216	315	1	the	the	DET
ejpam-6216	315	2	fuzzy	fuzzy	ADJ
ejpam-6216	315	3	edge	edge	NOUN
ejpam-6216	315	4	cardinality	cardinality	NOUN
ejpam-6216	315	5	of	of	ADP
ejpam-6216	315	6	set	set	NOUN
ejpam-6216	315	7	of	of	ADP
ejpam-6216	315	8	edges	edge	NOUN
ejpam-6216	315	9	e	e	NOUN
ejpam-6216	315	10	in	in	ADP
ejpam-6216	315	11	γ	γ	PROPN
ejpam-6216	315	12	is	be	AUX
ejpam-6216	315	13	defined	define	VERB
ejpam-6216	315	14	as	as	ADP
ejpam-6216	315	15	:	:	PUNCT
ejpam-6216	315	16	|e(γ)|	|e(γ)|	PROPN
ejpam-6216	315	17	=	=	SYM
ejpam-6216	315	18	∑	∑	NOUN
ejpam-6216	315	19	ϵiϵj∈e	ϵiϵj∈e	PROPN
ejpam-6216	315	20	1	1	NUM
ejpam-6216	315	21	+	+	CCONJ
ejpam-6216	315	22	lλ+(ϵiϵj	lλ+(ϵiϵj	ADJ
ejpam-6216	315	23	)	)	PUNCT
ejpam-6216	315	24	+	+	SYM
ejpam-6216	315	25	lλ−(ϵiϵj	lλ−(ϵiϵj	NOUN
ejpam-6216	315	26	)	)	PUNCT
ejpam-6216	315	27	2	2	NUM
ejpam-6216	315	28	the	the	DET
ejpam-6216	315	29	fuzzy	fuzzy	ADJ
ejpam-6216	315	30	cardinality	cardinality	NOUN
ejpam-6216	315	31	of	of	ADP
ejpam-6216	315	32	set	set	NOUN
ejpam-6216	315	33	of	of	ADP
ejpam-6216	315	34	edges	edge	NOUN
ejpam-6216	315	35	e	e	NOUN
ejpam-6216	315	36	in	in	ADP
ejpam-6216	315	37	γ	γ	PROPN
ejpam-6216	315	38	is	be	AUX
ejpam-6216	315	39	defined	define	VERB
ejpam-6216	315	40	as	as	ADP
ejpam-6216	315	41	:	:	PUNCT
ejpam-6216	315	42	|e(γ)|	|e(γ)|	PROPN
ejpam-6216	315	43	=	=	SYM
ejpam-6216	315	44	∑	∑	NOUN
ejpam-6216	315	45	ϵiϵj∈e	ϵiϵj∈e	PROPN
ejpam-6216	315	46	1	1	NUM
ejpam-6216	315	47	+	+	CCONJ
ejpam-6216	315	48	lλ+(ϵiϵj	lλ+(ϵiϵj	ADJ
ejpam-6216	315	49	)	)	PUNCT
ejpam-6216	315	50	+	+	SYM
ejpam-6216	315	51	lλ−(ϵiϵj	lλ−(ϵiϵj	ADJ
ejpam-6216	315	52	)	)	PUNCT
ejpam-6216	315	53	2	2	NUM
ejpam-6216	315	54	theorem	theorem	NOUN
ejpam-6216	315	55	2	2	NUM
ejpam-6216	315	56	.	.	PUNCT
ejpam-6216	316	1	let	let	VERB
ejpam-6216	316	2	γ1	γ1	PROPN
ejpam-6216	316	3	=	=	SYM
ejpam-6216	316	4	(	(	PUNCT
ejpam-6216	316	5	γ1,γ1	γ1,γ1	PROPN
ejpam-6216	316	6	)	)	PUNCT
ejpam-6216	316	7	and	and	CCONJ
ejpam-6216	316	8	γ2	γ2	NOUN
ejpam-6216	316	9	=	=	SYM
ejpam-6216	316	10	(	(	PUNCT
ejpam-6216	316	11	γ2,γ2	γ2,γ2	PROPN
ejpam-6216	316	12	)	)	PUNCT
ejpam-6216	316	13	be	be	VERB
ejpam-6216	316	14	two	two	NUM
ejpam-6216	316	15	bipolar	bipolar	ADJ
ejpam-6216	316	16	fuzzy	fuzzy	ADJ
ejpam-6216	316	17	rough	rough	ADJ
ejpam-6216	316	18	digraphs	digraph	NOUN
ejpam-6216	316	19	such	such	ADJ
ejpam-6216	316	20	that	that	DET
ejpam-6216	316	21	v1	v1	NOUN
ejpam-6216	316	22	∩	∩	ADJ
ejpam-6216	316	23	v2	v2	NOUN
ejpam-6216	316	24	=	=	PUNCT
ejpam-6216	316	25	∅	∅	NOUN
ejpam-6216	316	26	where	where	SCONJ
ejpam-6216	316	27	v1	v1	NOUN
ejpam-6216	316	28	and	and	CCONJ
ejpam-6216	316	29	v2	v2	NOUN
ejpam-6216	316	30	are	be	AUX
ejpam-6216	316	31	set	set	VERB
ejpam-6216	316	32	of	of	ADP
ejpam-6216	316	33	vertices	vertex	NOUN
ejpam-6216	316	34	of	of	ADP
ejpam-6216	316	35	γ1	γ1	NOUN
ejpam-6216	316	36	and	and	CCONJ
ejpam-6216	316	37	γ2	γ2	PROPN
ejpam-6216	316	38	respectively	respectively	ADV
ejpam-6216	316	39	then	then	ADV
ejpam-6216	316	40	ω(γ1	ω(γ1	VERB
ejpam-6216	316	41	∪	∪	ADJ
ejpam-6216	316	42	γ2	γ2	NOUN
ejpam-6216	316	43	)	)	PUNCT
ejpam-6216	316	44	=	=	SYM
ejpam-6216	316	45	ω(γ1	ω(γ1	NOUN
ejpam-6216	316	46	)	)	PUNCT
ejpam-6216	317	1	+	+	NUM
ejpam-6216	317	2	ω(γ2	ω(γ2	NOUN
ejpam-6216	317	3	)	)	PUNCT
ejpam-6216	317	4	.	.	PUNCT
ejpam-6216	318	1	proof	proof	NOUN
ejpam-6216	318	2	:	:	PUNCT
ejpam-6216	318	3	let	let	VERB
ejpam-6216	318	4	d1	d1	PROPN
ejpam-6216	318	5	be	be	AUX
ejpam-6216	318	6	the	the	DET
ejpam-6216	318	7	mds	mds	NOUN
ejpam-6216	318	8	of	of	ADP
ejpam-6216	318	9	γ1	γ1	PROPN
ejpam-6216	318	10	and	and	CCONJ
ejpam-6216	318	11	d2	d2	PROPN
ejpam-6216	318	12	be	be	AUX
ejpam-6216	318	13	the	the	DET
ejpam-6216	318	14	mds	mds	NOUN
ejpam-6216	318	15	of	of	ADP
ejpam-6216	318	16	γ2	γ2	PROPN
ejpam-6216	318	17	such	such	ADJ
ejpam-6216	318	18	that	that	SCONJ
ejpam-6216	318	19	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	318	20	)	)	PUNCT
ejpam-6216	318	21	is	be	AUX
ejpam-6216	318	22	domination	domination	NOUN
ejpam-6216	318	23	number	number	NOUN
ejpam-6216	318	24	of	of	ADP
ejpam-6216	318	25	γ1	γ1	NOUN
ejpam-6216	318	26	and	and	CCONJ
ejpam-6216	318	27	ωd2(γ2	ωd2(γ2	NOUN
ejpam-6216	318	28	)	)	PUNCT
ejpam-6216	318	29	is	be	AUX
ejpam-6216	318	30	domination	domination	NOUN
ejpam-6216	318	31	number	number	NOUN
ejpam-6216	318	32	of	of	ADP
ejpam-6216	318	33	γ2	γ2	PROPN
ejpam-6216	318	34	.	.	PUNCT
ejpam-6216	319	1	since	since	SCONJ
ejpam-6216	319	2	v1	v1	NOUN
ejpam-6216	319	3	∩	∩	ADJ
ejpam-6216	319	4	v2	v2	NOUN
ejpam-6216	319	5	=	=	NOUN
ejpam-6216	319	6	∅	∅	NOUN
ejpam-6216	319	7	,	,	PUNCT
ejpam-6216	319	8	therefore	therefore	ADV
ejpam-6216	319	9	d1+d2	d1+d2	PROPN
ejpam-6216	319	10	is	be	AUX
ejpam-6216	319	11	the	the	DET
ejpam-6216	319	12	mds	mds	NOUN
ejpam-6216	319	13	of	of	ADP
ejpam-6216	319	14	γ1∪γ2	γ1∪γ2	NOUN
ejpam-6216	319	15	such	such	ADJ
ejpam-6216	319	16	that	that	DET
ejpam-6216	319	17	ωd1+d2(γ1∪γ2	ωd1+d2(γ1∪γ2	PROPN
ejpam-6216	319	18	)	)	PUNCT
ejpam-6216	320	1	is	be	AUX
ejpam-6216	320	2	domination	domination	NOUN
ejpam-6216	320	3	number	number	NOUN
ejpam-6216	320	4	of	of	ADP
ejpam-6216	320	5	γ1	γ1	PROPN
ejpam-6216	320	6	∪	∪	PROPN
ejpam-6216	320	7	γ2	γ2	PROPN
ejpam-6216	320	8	,	,	PUNCT
ejpam-6216	320	9	then	then	ADV
ejpam-6216	320	10	:	:	PUNCT
ejpam-6216	320	11	ωd1+d2(γ1	ωd1+d2(γ1	PROPN
ejpam-6216	320	12	∪	∪	ADJ
ejpam-6216	320	13	γ2	γ2	NOUN
ejpam-6216	320	14	)	)	PUNCT
ejpam-6216	321	1	=	=	PUNCT
ejpam-6216	321	2	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	321	3	)	)	PUNCT
ejpam-6216	321	4	+	+	NUM
ejpam-6216	321	5	ωd2(γ2	ωd2(γ2	NOUN
ejpam-6216	321	6	)	)	PUNCT
ejpam-6216	321	7	a.	a.	PROPN
ejpam-6216	321	8	arif	arif	PROPN
ejpam-6216	321	9	et	et	PROPN
ejpam-6216	321	10	al	al	PROPN
ejpam-6216	321	11	.	.	PUNCT
ejpam-6216	321	12	/	/	SYM
ejpam-6216	321	13	eur	eur	PROPN
ejpam-6216	321	14	.	.	PUNCT
ejpam-6216	322	1	j.	j.	PROPN
ejpam-6216	322	2	pure	pure	PROPN
ejpam-6216	322	3	appl	appl	PROPN
ejpam-6216	322	4	.	.	PROPN
ejpam-6216	322	5	math	math	PROPN
ejpam-6216	322	6	,	,	PUNCT
ejpam-6216	322	7	18	18	NUM
ejpam-6216	322	8	(	(	PUNCT
ejpam-6216	322	9	4	4	NUM
ejpam-6216	322	10	)	)	PUNCT
ejpam-6216	322	11	(	(	PUNCT
ejpam-6216	322	12	2025	2025	NUM
ejpam-6216	322	13	)	)	PUNCT
ejpam-6216	322	14	,	,	PUNCT
ejpam-6216	322	15	6216	6216	NUM
ejpam-6216	322	16	18	18	NUM
ejpam-6216	322	17	of	of	ADP
ejpam-6216	322	18	36	36	NUM
ejpam-6216	322	19	it	it	PRON
ejpam-6216	322	20	follows	follow	VERB
ejpam-6216	322	21	that	that	SCONJ
ejpam-6216	322	22	:	:	PUNCT
ejpam-6216	322	23	ω(γ1	ω(γ1	NOUN
ejpam-6216	322	24	∪	∪	ADJ
ejpam-6216	322	25	γ2	γ2	NOUN
ejpam-6216	322	26	)	)	PUNCT
ejpam-6216	322	27	=	=	SYM
ejpam-6216	322	28	ω(γ1	ω(γ1	NOUN
ejpam-6216	322	29	)	)	PUNCT
ejpam-6216	322	30	+	+	SYM
ejpam-6216	322	31	ω(γ2	ω(γ2	NOUN
ejpam-6216	322	32	)	)	PUNCT
ejpam-6216	322	33	example	example	NOUN
ejpam-6216	322	34	5	5	NUM
ejpam-6216	322	35	.	.	PUNCT
ejpam-6216	323	1	let	let	VERB
ejpam-6216	323	2	γ1	γ1	PROPN
ejpam-6216	323	3	=	=	SYM
ejpam-6216	323	4	(	(	PUNCT
ejpam-6216	323	5	γ1,γ1	γ1,γ1	PROPN
ejpam-6216	323	6	)	)	PUNCT
ejpam-6216	323	7	and	and	CCONJ
ejpam-6216	323	8	γ2	γ2	NOUN
ejpam-6216	323	9	=	=	SYM
ejpam-6216	323	10	(	(	PUNCT
ejpam-6216	323	11	γ2,γ2	γ2,γ2	PROPN
ejpam-6216	323	12	)	)	PUNCT
ejpam-6216	323	13	be	be	VERB
ejpam-6216	323	14	two	two	NUM
ejpam-6216	323	15	bfrds	bfrd	NOUN
ejpam-6216	323	16	given	give	VERB
ejpam-6216	323	17	in	in	ADP
ejpam-6216	323	18	figures	figure	NOUN
ejpam-6216	323	19	4	4	NUM
ejpam-6216	323	20	and	and	CCONJ
ejpam-6216	323	21	5	5	NUM
ejpam-6216	323	22	:	:	PUNCT
ejpam-6216	323	23	ξ1	ξ1	NOUN
ejpam-6216	323	24	(	(	PUNCT
ejpam-6216	323	25	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	323	26	)	)	PUNCT
ejpam-6216	323	27	ξ2	ξ2	NOUN
ejpam-6216	323	28	(	(	PUNCT
ejpam-6216	323	29	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	323	30	)	)	PUNCT
ejpam-6216	323	31	ξ3	ξ3	NOUN
ejpam-6216	323	32	(	(	PUNCT
ejpam-6216	323	33	0.3,−0.2	0.3,−0.2	NOUN
ejpam-6216	323	34	)	)	PUNCT
ejpam-6216	323	35	ξ4	ξ4	NOUN
ejpam-6216	323	36	(	(	PUNCT
ejpam-6216	323	37	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	323	38	)	)	PUNCT
ejpam-6216	323	39	(	(	PUNCT
ejpam-6216	323	40	0.1	0.1	NUM
ejpam-6216	323	41	,	,	PUNCT
ejpam-6216	323	42	-0.1	-0.1	PROPN
ejpam-6216	323	43	)	)	PUNCT
ejpam-6216	323	44	(	(	PUNCT
ejpam-6216	323	45	0.2	0.2	NUM
ejpam-6216	323	46	,	,	PUNCT
ejpam-6216	323	47	-0.1	-0.1	PROPN
ejpam-6216	323	48	)	)	PUNCT
ejpam-6216	323	49	(	(	PUNCT
ejpam-6216	323	50	0.2	0.2	NUM
ejpam-6216	323	51	,	,	PUNCT
ejpam-6216	323	52	-0.1	-0.1	PROPN
ejpam-6216	323	53	)	)	PUNCT
ejpam-6216	323	54	(	(	PUNCT
ejpam-6216	323	55	0.1	0.1	NUM
ejpam-6216	323	56	,	,	PUNCT
ejpam-6216	323	57	-0.2	-0.2	NOUN
ejpam-6216	323	58	)	)	PUNCT
ejpam-6216	323	59	γ1	γ1	NOUN
ejpam-6216	323	60	=	=	SYM
ejpam-6216	323	61	(	(	PUNCT
ejpam-6216	323	62	υw1	υw1	PROPN
ejpam-6216	323	63	,	,	PUNCT
ejpam-6216	323	64	lλ1	lλ1	NOUN
ejpam-6216	323	65	)	)	PUNCT
ejpam-6216	323	66	ξ1	ξ1	NOUN
ejpam-6216	323	67	(	(	PUNCT
ejpam-6216	323	68	0.4,−0.6	0.4,−0.6	NOUN
ejpam-6216	323	69	)	)	PUNCT
ejpam-6216	323	70	ξ2	ξ2	NOUN
ejpam-6216	323	71	(	(	PUNCT
ejpam-6216	323	72	0.3,−0.4	0.3,−0.4	NUM
ejpam-6216	323	73	)	)	PUNCT
ejpam-6216	323	74	ξ3	ξ3	NOUN
ejpam-6216	323	75	(	(	PUNCT
ejpam-6216	323	76	0.5,−0.4	0.5,−0.4	NOUN
ejpam-6216	323	77	)	)	PUNCT
ejpam-6216	323	78	ξ4	ξ4	PROPN
ejpam-6216	323	79	(	(	PUNCT
ejpam-6216	323	80	0.6,−0.2	0.6,−0.2	NUM
ejpam-6216	323	81	)	)	PUNCT
ejpam-6216	323	82	(	(	PUNCT
ejpam-6216	323	83	0.3	0.3	NUM
ejpam-6216	323	84	,	,	PUNCT
ejpam-6216	323	85	-0.3	-0.3	NUM
ejpam-6216	323	86	)	)	PUNCT
ejpam-6216	323	87	(	(	PUNCT
ejpam-6216	323	88	0.3	0.3	NUM
ejpam-6216	323	89	,	,	PUNCT
ejpam-6216	323	90	-0.3	-0.3	NUM
ejpam-6216	323	91	)	)	PUNCT
ejpam-6216	323	92	(	(	PUNCT
ejpam-6216	323	93	0.2	0.2	NUM
ejpam-6216	323	94	,	,	PUNCT
ejpam-6216	323	95	-0.2	-0.2	NOUN
ejpam-6216	323	96	)	)	PUNCT
ejpam-6216	323	97	(	(	PUNCT
ejpam-6216	323	98	0.3	0.3	NUM
ejpam-6216	323	99	,	,	PUNCT
ejpam-6216	323	100	-0.1	-0.1	NOUN
ejpam-6216	323	101	)	)	PUNCT
ejpam-6216	323	102	γ1	γ1	NOUN
ejpam-6216	323	103	=	=	SYM
ejpam-6216	323	104	(	(	PUNCT
ejpam-6216	323	105	υw1	υw1	PROPN
ejpam-6216	323	106	,	,	PUNCT
ejpam-6216	323	107	lλ1	lλ1	NOUN
ejpam-6216	323	108	)	)	PUNCT
ejpam-6216	323	109	figure	figure	NOUN
ejpam-6216	323	110	4	4	NUM
ejpam-6216	323	111	:	:	PUNCT
ejpam-6216	323	112	γ	γ	X
ejpam-6216	323	113	=	=	SYM
ejpam-6216	323	114	(	(	PUNCT
ejpam-6216	323	115	γ	γ	X
ejpam-6216	323	116	,	,	PUNCT
ejpam-6216	323	117	γ	γ	NOUN
ejpam-6216	323	118	)	)	PUNCT
ejpam-6216	323	119	κ1	κ1	NOUN
ejpam-6216	323	120	(	(	PUNCT
ejpam-6216	323	121	0.3,−0.1	0.3,−0.1	NUM
ejpam-6216	323	122	)	)	PUNCT
ejpam-6216	323	123	κ2	κ2	NOUN
ejpam-6216	323	124	(	(	PUNCT
ejpam-6216	323	125	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	323	126	)	)	PUNCT
ejpam-6216	323	127	κ3	κ3	PROPN
ejpam-6216	323	128	(	(	PUNCT
ejpam-6216	323	129	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	323	130	)	)	PUNCT
ejpam-6216	323	131	(	(	PUNCT
ejpam-6216	323	132	0.1	0.1	NUM
ejpam-6216	323	133	,	,	PUNCT
ejpam-6216	323	134	-0.3	-0.3	NUM
ejpam-6216	323	135	)	)	PUNCT
ejpam-6216	323	136	(	(	PUNCT
ejpam-6216	323	137	0.05	0.05	NUM
ejpam-6216	323	138	,	,	PUNCT
ejpam-6216	323	139	-0.1)(0.1	-0.1)(0.1	PROPN
ejpam-6216	323	140	,	,	PUNCT
ejpam-6216	323	141	-0.1	-0.1	NOUN
ejpam-6216	323	142	)	)	PUNCT
ejpam-6216	323	143	γ2	γ2	NOUN
ejpam-6216	323	144	=	=	SYM
ejpam-6216	323	145	(	(	PUNCT
ejpam-6216	323	146	υw2	υw2	PROPN
ejpam-6216	323	147	,	,	PUNCT
ejpam-6216	323	148	lλ2	lλ2	PROPN
ejpam-6216	323	149	)	)	PUNCT
ejpam-6216	323	150	κ1	κ1	NOUN
ejpam-6216	323	151	(	(	PUNCT
ejpam-6216	323	152	0.3,−0.2	0.3,−0.2	NOUN
ejpam-6216	323	153	)	)	PUNCT
ejpam-6216	323	154	κ2	κ2	NOUN
ejpam-6216	323	155	(	(	PUNCT
ejpam-6216	323	156	0.4,−0.5	0.4,−0.5	NOUN
ejpam-6216	323	157	)	)	PUNCT
ejpam-6216	323	158	κ3	κ3	PROPN
ejpam-6216	323	159	(	(	PUNCT
ejpam-6216	323	160	0.5,−0.4	0.5,−0.4	NUM
ejpam-6216	323	161	)	)	PUNCT
ejpam-6216	323	162	(	(	PUNCT
ejpam-6216	323	163	0.2	0.2	NUM
ejpam-6216	323	164	,	,	PUNCT
ejpam-6216	323	165	-0.1	-0.1	PROPN
ejpam-6216	323	166	)	)	PUNCT
ejpam-6216	323	167	(	(	PUNCT
ejpam-6216	323	168	0.3	0.3	NUM
ejpam-6216	323	169	,	,	PUNCT
ejpam-6216	323	170	-0.2)(0.2	-0.2)(0.2	ADJ
ejpam-6216	323	171	,	,	PUNCT
ejpam-6216	323	172	-0.2	-0.2	NOUN
ejpam-6216	323	173	)	)	PUNCT
ejpam-6216	323	174	γ2	γ2	NOUN
ejpam-6216	323	175	=	=	SYM
ejpam-6216	323	176	(	(	PUNCT
ejpam-6216	323	177	υw2	υw2	PROPN
ejpam-6216	323	178	,	,	PUNCT
ejpam-6216	323	179	lλ2	lλ2	ADJ
ejpam-6216	323	180	)	)	PUNCT
ejpam-6216	323	181	figure	figure	NOUN
ejpam-6216	323	182	5	5	NUM
ejpam-6216	323	183	:	:	PUNCT
ejpam-6216	323	184	γ	γ	X
ejpam-6216	323	185	=	=	SYM
ejpam-6216	323	186	(	(	PUNCT
ejpam-6216	323	187	γ	γ	X
ejpam-6216	323	188	,	,	PUNCT
ejpam-6216	323	189	γ	γ	NOUN
ejpam-6216	323	190	)	)	PUNCT
ejpam-6216	323	191	then	then	ADV
ejpam-6216	323	192	the	the	DET
ejpam-6216	323	193	lower	low	ADJ
ejpam-6216	323	194	and	and	CCONJ
ejpam-6216	323	195	upper	upper	ADJ
ejpam-6216	323	196	approximations	approximation	NOUN
ejpam-6216	323	197	of	of	ADP
ejpam-6216	323	198	union	union	NOUN
ejpam-6216	323	199	of	of	ADP
ejpam-6216	323	200	graphs	graph	NOUN
ejpam-6216	323	201	γ1	γ1	PROPN
ejpam-6216	323	202	∪	∪	ADP
ejpam-6216	323	203	γ2	γ2	PROPN
ejpam-6216	323	204	are	be	AUX
ejpam-6216	323	205	given	give	VERB
ejpam-6216	323	206	in	in	ADP
ejpam-6216	323	207	figure	figure	NOUN
ejpam-6216	323	208	6	6	NUM
ejpam-6216	323	209	and	and	CCONJ
ejpam-6216	323	210	7	7	NUM
ejpam-6216	323	211	:	:	PUNCT
ejpam-6216	323	212	a.	a.	PROPN
ejpam-6216	323	213	arif	arif	PROPN
ejpam-6216	323	214	et	et	PROPN
ejpam-6216	323	215	al	al	PROPN
ejpam-6216	323	216	.	.	PUNCT
ejpam-6216	323	217	/	/	SYM
ejpam-6216	323	218	eur	eur	PROPN
ejpam-6216	323	219	.	.	PUNCT
ejpam-6216	324	1	j.	j.	PROPN
ejpam-6216	324	2	pure	pure	PROPN
ejpam-6216	324	3	appl	appl	PROPN
ejpam-6216	324	4	.	.	PROPN
ejpam-6216	324	5	math	math	PROPN
ejpam-6216	324	6	,	,	PUNCT
ejpam-6216	324	7	18	18	NUM
ejpam-6216	324	8	(	(	PUNCT
ejpam-6216	324	9	4	4	NUM
ejpam-6216	324	10	)	)	PUNCT
ejpam-6216	324	11	(	(	PUNCT
ejpam-6216	324	12	2025	2025	NUM
ejpam-6216	324	13	)	)	PUNCT
ejpam-6216	324	14	,	,	PUNCT
ejpam-6216	324	15	6216	6216	NUM
ejpam-6216	324	16	19	19	NUM
ejpam-6216	324	17	of	of	ADP
ejpam-6216	324	18	36	36	NUM
ejpam-6216	324	19	ξ1	ξ1	NOUN
ejpam-6216	324	20	(	(	PUNCT
ejpam-6216	324	21	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	324	22	)	)	PUNCT
ejpam-6216	324	23	ξ2	ξ2	NOUN
ejpam-6216	324	24	(	(	PUNCT
ejpam-6216	324	25	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	324	26	)	)	PUNCT
ejpam-6216	324	27	ξ3	ξ3	NOUN
ejpam-6216	324	28	(	(	PUNCT
ejpam-6216	324	29	0.3,−0.2	0.3,−0.2	NOUN
ejpam-6216	324	30	)	)	PUNCT
ejpam-6216	324	31	ξ4	ξ4	NOUN
ejpam-6216	324	32	(	(	PUNCT
ejpam-6216	324	33	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	324	34	)	)	PUNCT
ejpam-6216	324	35	(	(	PUNCT
ejpam-6216	324	36	0.1	0.1	NUM
ejpam-6216	324	37	,	,	PUNCT
ejpam-6216	324	38	-0.1	-0.1	PROPN
ejpam-6216	324	39	)	)	PUNCT
ejpam-6216	324	40	(	(	PUNCT
ejpam-6216	324	41	0.2	0.2	NUM
ejpam-6216	324	42	,	,	PUNCT
ejpam-6216	324	43	-0.1	-0.1	PROPN
ejpam-6216	324	44	)	)	PUNCT
ejpam-6216	324	45	(	(	PUNCT
ejpam-6216	324	46	0.2	0.2	NUM
ejpam-6216	324	47	,	,	PUNCT
ejpam-6216	324	48	-0.1	-0.1	PROPN
ejpam-6216	324	49	)	)	PUNCT
ejpam-6216	324	50	(	(	PUNCT
ejpam-6216	324	51	0.1	0.1	NUM
ejpam-6216	324	52	,	,	PUNCT
ejpam-6216	324	53	-0.2	-0.2	NOUN
ejpam-6216	324	54	)	)	PUNCT
ejpam-6216	324	55	κ1	κ1	NOUN
ejpam-6216	324	56	(	(	PUNCT
ejpam-6216	324	57	0.3,−0.1	0.3,−0.1	NUM
ejpam-6216	324	58	)	)	PUNCT
ejpam-6216	324	59	κ2	κ2	NOUN
ejpam-6216	324	60	(	(	PUNCT
ejpam-6216	324	61	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	324	62	)	)	PUNCT
ejpam-6216	324	63	κ3	κ3	PROPN
ejpam-6216	324	64	(	(	PUNCT
ejpam-6216	324	65	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	324	66	)	)	PUNCT
ejpam-6216	324	67	(	(	PUNCT
ejpam-6216	324	68	0.1	0.1	NUM
ejpam-6216	324	69	,	,	PUNCT
ejpam-6216	324	70	-0.3	-0.3	NUM
ejpam-6216	324	71	)	)	PUNCT
ejpam-6216	324	72	(	(	PUNCT
ejpam-6216	324	73	0.05	0.05	NUM
ejpam-6216	324	74	,	,	PUNCT
ejpam-6216	324	75	-0.1)(0.1	-0.1)(0.1	PROPN
ejpam-6216	324	76	,	,	PUNCT
ejpam-6216	324	77	-0.1	-0.1	NOUN
ejpam-6216	324	78	)	)	PUNCT
ejpam-6216	324	79	figure	figure	NOUN
ejpam-6216	324	80	6	6	NUM
ejpam-6216	324	81	:	:	PUNCT
ejpam-6216	324	82	γ1	γ1	PROPN
ejpam-6216	324	83	∪	∪	ADP
ejpam-6216	324	84	γ2	γ2	PROPN
ejpam-6216	324	85	ξ1	ξ1	PROPN
ejpam-6216	324	86	(	(	PUNCT
ejpam-6216	324	87	0.4,−0.6	0.4,−0.6	NOUN
ejpam-6216	324	88	)	)	PUNCT
ejpam-6216	324	89	ξ2	ξ2	NOUN
ejpam-6216	324	90	(	(	PUNCT
ejpam-6216	324	91	0.3,−0.4	0.3,−0.4	NUM
ejpam-6216	324	92	)	)	PUNCT
ejpam-6216	324	93	ξ3	ξ3	NOUN
ejpam-6216	324	94	(	(	PUNCT
ejpam-6216	324	95	0.5,−0.4	0.5,−0.4	NOUN
ejpam-6216	324	96	)	)	PUNCT
ejpam-6216	324	97	ξ4	ξ4	PROPN
ejpam-6216	324	98	(	(	PUNCT
ejpam-6216	324	99	0.6,−0.2	0.6,−0.2	NUM
ejpam-6216	324	100	)	)	PUNCT
ejpam-6216	324	101	(	(	PUNCT
ejpam-6216	324	102	0.3	0.3	NUM
ejpam-6216	324	103	,	,	PUNCT
ejpam-6216	324	104	-0.3	-0.3	NUM
ejpam-6216	324	105	)	)	PUNCT
ejpam-6216	324	106	(	(	PUNCT
ejpam-6216	324	107	0.3	0.3	NUM
ejpam-6216	324	108	,	,	PUNCT
ejpam-6216	324	109	-0.3	-0.3	NUM
ejpam-6216	324	110	)	)	PUNCT
ejpam-6216	324	111	(	(	PUNCT
ejpam-6216	324	112	0.2	0.2	NUM
ejpam-6216	324	113	,	,	PUNCT
ejpam-6216	324	114	-0.2	-0.2	NOUN
ejpam-6216	324	115	)	)	PUNCT
ejpam-6216	324	116	(	(	PUNCT
ejpam-6216	324	117	0.3	0.3	NUM
ejpam-6216	324	118	,	,	PUNCT
ejpam-6216	324	119	-0.1	-0.1	NOUN
ejpam-6216	324	120	)	)	PUNCT
ejpam-6216	324	121	κ1	κ1	NOUN
ejpam-6216	324	122	(	(	PUNCT
ejpam-6216	324	123	0.3,−0.2	0.3,−0.2	NOUN
ejpam-6216	324	124	)	)	PUNCT
ejpam-6216	324	125	κ2	κ2	NOUN
ejpam-6216	324	126	(	(	PUNCT
ejpam-6216	324	127	0.4,−0.5	0.4,−0.5	NOUN
ejpam-6216	324	128	)	)	PUNCT
ejpam-6216	324	129	κ3	κ3	PROPN
ejpam-6216	324	130	(	(	PUNCT
ejpam-6216	324	131	0.5,−0.4	0.5,−0.4	NUM
ejpam-6216	324	132	)	)	PUNCT
ejpam-6216	324	133	(	(	PUNCT
ejpam-6216	324	134	0.2	0.2	NUM
ejpam-6216	324	135	,	,	PUNCT
ejpam-6216	324	136	-0.1	-0.1	PROPN
ejpam-6216	324	137	)	)	PUNCT
ejpam-6216	324	138	(	(	PUNCT
ejpam-6216	324	139	0.3	0.3	NUM
ejpam-6216	324	140	,	,	PUNCT
ejpam-6216	324	141	-0.2)(0.2	-0.2)(0.2	ADJ
ejpam-6216	324	142	,	,	PUNCT
ejpam-6216	324	143	-0.2	-0.2	NUM
ejpam-6216	324	144	)	)	PUNCT
ejpam-6216	324	145	figure	figure	NOUN
ejpam-6216	324	146	7	7	NUM
ejpam-6216	324	147	:	:	PUNCT
ejpam-6216	324	148	γ1	γ1	PROPN
ejpam-6216	324	149	∪	∪	ADP
ejpam-6216	324	150	γ2	γ2	PROPN
ejpam-6216	324	151	the	the	DET
ejpam-6216	324	152	minimal	minimal	ADJ
ejpam-6216	324	153	dominating	dominating	NOUN
ejpam-6216	324	154	sets	set	NOUN
ejpam-6216	324	155	of	of	ADP
ejpam-6216	324	156	γ1	γ1	NOUN
ejpam-6216	324	157	are	be	AUX
ejpam-6216	324	158	d1	d1	NOUN
ejpam-6216	324	159	=	=	SYM
ejpam-6216	324	160	{	{	PUNCT
ejpam-6216	324	161	ξ2	ξ2	PROPN
ejpam-6216	324	162	,	,	PUNCT
ejpam-6216	324	163	ξ4	ξ4	NOUN
ejpam-6216	324	164	}	}	PUNCT
ejpam-6216	324	165	and	and	CCONJ
ejpam-6216	324	166	d2	d2	PROPN
ejpam-6216	324	167	=	=	SYM
ejpam-6216	324	168	{	{	PUNCT
ejpam-6216	324	169	ξ1	ξ1	NOUN
ejpam-6216	324	170	,	,	PUNCT
ejpam-6216	324	171	ξ3	ξ3	PROPN
ejpam-6216	324	172	}	}	PUNCT
ejpam-6216	324	173	.	.	PUNCT
ejpam-6216	325	1	the	the	DET
ejpam-6216	325	2	sum	sum	NOUN
ejpam-6216	325	3	of	of	ADP
ejpam-6216	325	4	fuzzy	fuzzy	ADJ
ejpam-6216	325	5	cardinalities	cardinality	NOUN
ejpam-6216	325	6	of	of	ADP
ejpam-6216	325	7	d1	d1	NOUN
ejpam-6216	325	8	=	=	SYM
ejpam-6216	325	9	{	{	PUNCT
ejpam-6216	325	10	ξ2	ξ2	PROPN
ejpam-6216	325	11	,	,	PUNCT
ejpam-6216	325	12	ξ4	ξ4	PROPN
ejpam-6216	325	13	}	}	PUNCT
ejpam-6216	325	14	in	in	ADP
ejpam-6216	325	15	γ1	γ1	PROPN
ejpam-6216	325	16	and	and	CCONJ
ejpam-6216	325	17	γ1	γ1	NOUN
ejpam-6216	325	18	is	be	AUX
ejpam-6216	325	19	:	:	PUNCT
ejpam-6216	325	20	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	325	21	)	)	PUNCT
ejpam-6216	325	22	+	+	NUM
ejpam-6216	325	23	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	325	24	)	)	PUNCT
ejpam-6216	325	25	=	=	SYM
ejpam-6216	326	1	1	1	NUM
ejpam-6216	326	2	+	+	NUM
ejpam-6216	326	3	0.2	0.2	NUM
ejpam-6216	326	4	+	+	CCONJ
ejpam-6216	326	5	(	(	PUNCT
ejpam-6216	326	6	−0.1	−0.1	X
ejpam-6216	326	7	)	)	PUNCT
ejpam-6216	326	8	2	2	NUM
ejpam-6216	327	1	+	+	CCONJ
ejpam-6216	327	2	1	1	NUM
ejpam-6216	327	3	+	+	NUM
ejpam-6216	327	4	0.3	0.3	NUM
ejpam-6216	327	5	+	+	CCONJ
ejpam-6216	327	6	(	(	PUNCT
ejpam-6216	327	7	−0.3	−0.3	PROPN
ejpam-6216	327	8	)	)	PUNCT
ejpam-6216	327	9	2	2	NUM
ejpam-6216	328	1	+	+	CCONJ
ejpam-6216	328	2	1	1	NUM
ejpam-6216	328	3	+	+	NUM
ejpam-6216	328	4	0.3	0.3	NUM
ejpam-6216	328	5	+	+	CCONJ
ejpam-6216	328	6	(	(	PUNCT
ejpam-6216	328	7	−0.4	−0.4	NUM
ejpam-6216	328	8	)	)	PUNCT
ejpam-6216	328	9	2	2	NUM
ejpam-6216	329	1	+	+	CCONJ
ejpam-6216	329	2	1	1	NUM
ejpam-6216	329	3	+	+	NUM
ejpam-6216	329	4	0.6	0.6	NUM
ejpam-6216	329	5	+	+	CCONJ
ejpam-6216	329	6	(	(	PUNCT
ejpam-6216	329	7	−0.2	−0.2	PROPN
ejpam-6216	329	8	)	)	PUNCT
ejpam-6216	329	9	2	2	NUM
ejpam-6216	329	10	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	329	11	)	)	PUNCT
ejpam-6216	329	12	+	+	NUM
ejpam-6216	329	13	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	329	14	)	)	PUNCT
ejpam-6216	330	1	=	=	NUM
ejpam-6216	330	2	2.2	2.2	NUM
ejpam-6216	330	3	the	the	DET
ejpam-6216	330	4	sum	sum	NOUN
ejpam-6216	330	5	of	of	ADP
ejpam-6216	330	6	fuzzy	fuzzy	ADJ
ejpam-6216	330	7	cardinalities	cardinality	NOUN
ejpam-6216	330	8	of	of	ADP
ejpam-6216	330	9	d2	d2	PROPN
ejpam-6216	330	10	=	=	SYM
ejpam-6216	330	11	{	{	PUNCT
ejpam-6216	330	12	ξ1	ξ1	NOUN
ejpam-6216	330	13	,	,	PUNCT
ejpam-6216	330	14	ξ3	ξ3	NOUN
ejpam-6216	330	15	}	}	PUNCT
ejpam-6216	330	16	in	in	ADP
ejpam-6216	330	17	γ1	γ1	PROPN
ejpam-6216	330	18	and	and	CCONJ
ejpam-6216	330	19	γ1	γ1	NOUN
ejpam-6216	330	20	is	be	AUX
ejpam-6216	330	21	:	:	PUNCT
ejpam-6216	330	22	ωd2(γ1	ωd2(γ1	NOUN
ejpam-6216	330	23	)	)	PUNCT
ejpam-6216	330	24	+	+	NUM
ejpam-6216	330	25	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	330	26	)	)	PUNCT
ejpam-6216	330	27	=	=	SYM
ejpam-6216	330	28	1	1	NUM
ejpam-6216	330	29	+	+	NUM
ejpam-6216	330	30	0.1	0.1	NUM
ejpam-6216	330	31	+	+	CCONJ
ejpam-6216	330	32	(	(	PUNCT
ejpam-6216	330	33	−0.2	−0.2	PROPN
ejpam-6216	330	34	)	)	PUNCT
ejpam-6216	330	35	2	2	NUM
ejpam-6216	331	1	+	+	CCONJ
ejpam-6216	331	2	1	1	NUM
ejpam-6216	331	3	+	+	NUM
ejpam-6216	331	4	0.3	0.3	NUM
ejpam-6216	331	5	+	+	CCONJ
ejpam-6216	331	6	(	(	PUNCT
ejpam-6216	331	7	−0.2	−0.2	PROPN
ejpam-6216	331	8	)	)	PUNCT
ejpam-6216	331	9	2	2	NUM
ejpam-6216	332	1	+	+	CCONJ
ejpam-6216	332	2	1	1	NUM
ejpam-6216	332	3	+	+	NUM
ejpam-6216	332	4	0.4	0.4	NUM
ejpam-6216	332	5	+	+	CCONJ
ejpam-6216	332	6	(	(	PUNCT
ejpam-6216	332	7	−0.6	−0.6	PROPN
ejpam-6216	332	8	)	)	PUNCT
ejpam-6216	332	9	2	2	NUM
ejpam-6216	333	1	+	+	CCONJ
ejpam-6216	333	2	1	1	NUM
ejpam-6216	333	3	+	+	NUM
ejpam-6216	333	4	0.5	0.5	NUM
ejpam-6216	333	5	+	+	CCONJ
ejpam-6216	333	6	(	(	PUNCT
ejpam-6216	333	7	−0.4	−0.4	NUM
ejpam-6216	333	8	)	)	PUNCT
ejpam-6216	333	9	2	2	NUM
ejpam-6216	333	10	ωd2(γ1	ωd2(γ1	NOUN
ejpam-6216	333	11	)	)	PUNCT
ejpam-6216	334	1	+	+	NUM
ejpam-6216	334	2	ωd1(γ1	ωd1(γ1	NOUN
ejpam-6216	334	3	)	)	PUNCT
ejpam-6216	334	4	=	=	SYM
ejpam-6216	334	5	1.95	1.95	NUM
ejpam-6216	334	6	d2	d2	NOUN
ejpam-6216	334	7	=	=	SYM
ejpam-6216	334	8	{	{	PUNCT
ejpam-6216	334	9	ξ1	ξ1	NOUN
ejpam-6216	334	10	,	,	PUNCT
ejpam-6216	334	11	ξ3	ξ3	PROPN
ejpam-6216	334	12	}	}	PUNCT
ejpam-6216	334	13	has	have	VERB
ejpam-6216	334	14	minimum	minimum	ADJ
ejpam-6216	334	15	sum	sum	NOUN
ejpam-6216	334	16	of	of	ADP
ejpam-6216	334	17	fuzzy	fuzzy	ADJ
ejpam-6216	334	18	cardinalities	cardinality	NOUN
ejpam-6216	334	19	,	,	PUNCT
ejpam-6216	334	20	therefore	therefore	ADV
ejpam-6216	334	21	{	{	PUNCT
ejpam-6216	334	22	ξ1	ξ1	NOUN
ejpam-6216	334	23	,	,	PUNCT
ejpam-6216	334	24	ξ3	ξ3	PROPN
ejpam-6216	334	25	}	}	PUNCT
ejpam-6216	334	26	is	be	AUX
ejpam-6216	334	27	a	a	DET
ejpam-6216	334	28	mds	mds	NOUN
ejpam-6216	334	29	and	and	CCONJ
ejpam-6216	334	30	the	the	DET
ejpam-6216	334	31	domination	domination	NOUN
ejpam-6216	334	32	number	number	NOUN
ejpam-6216	334	33	is	be	AUX
ejpam-6216	334	34	ω(γ1	ω(γ1	NOUN
ejpam-6216	334	35	)	)	PUNCT
ejpam-6216	334	36	=	=	SYM
ejpam-6216	334	37	1.95	1.95	NUM
ejpam-6216	334	38	.	.	PUNCT
ejpam-6216	335	1	a.	a.	PROPN
ejpam-6216	335	2	arif	arif	PROPN
ejpam-6216	335	3	et	et	PROPN
ejpam-6216	335	4	al	al	PROPN
ejpam-6216	335	5	.	.	PUNCT
ejpam-6216	335	6	/	/	SYM
ejpam-6216	335	7	eur	eur	PROPN
ejpam-6216	335	8	.	.	PUNCT
ejpam-6216	336	1	j.	j.	PROPN
ejpam-6216	336	2	pure	pure	PROPN
ejpam-6216	336	3	appl	appl	PROPN
ejpam-6216	336	4	.	.	PROPN
ejpam-6216	336	5	math	math	PROPN
ejpam-6216	336	6	,	,	PUNCT
ejpam-6216	336	7	18	18	NUM
ejpam-6216	336	8	(	(	PUNCT
ejpam-6216	336	9	4	4	NUM
ejpam-6216	336	10	)	)	PUNCT
ejpam-6216	336	11	(	(	PUNCT
ejpam-6216	336	12	2025	2025	NUM
ejpam-6216	336	13	)	)	PUNCT
ejpam-6216	336	14	,	,	PUNCT
ejpam-6216	336	15	6216	6216	NUM
ejpam-6216	336	16	20	20	NUM
ejpam-6216	336	17	of	of	ADP
ejpam-6216	336	18	36	36	NUM
ejpam-6216	336	19	the	the	DET
ejpam-6216	336	20	minimal	minimal	ADJ
ejpam-6216	336	21	dominating	dominating	NOUN
ejpam-6216	336	22	sets	set	NOUN
ejpam-6216	336	23	are	be	AUX
ejpam-6216	336	24	d1	d1	NOUN
ejpam-6216	336	25	=	=	SYM
ejpam-6216	336	26	{	{	PUNCT
ejpam-6216	336	27	κ1	κ1	NOUN
ejpam-6216	336	28	,	,	PUNCT
ejpam-6216	336	29	κ2	κ2	PROPN
ejpam-6216	336	30	}	}	PUNCT
ejpam-6216	336	31	,	,	PUNCT
ejpam-6216	336	32	d2	d2	PROPN
ejpam-6216	336	33	=	=	SYM
ejpam-6216	336	34	{	{	PUNCT
ejpam-6216	336	35	κ1	κ1	NOUN
ejpam-6216	336	36	,	,	PUNCT
ejpam-6216	336	37	κ3	κ3	PROPN
ejpam-6216	336	38	}	}	PUNCT
ejpam-6216	336	39	,	,	PUNCT
ejpam-6216	336	40	and	and	CCONJ
ejpam-6216	336	41	d3	d3	PROPN
ejpam-6216	336	42	=	=	SYM
ejpam-6216	336	43	{	{	PUNCT
ejpam-6216	336	44	κ2	κ2	PROPN
ejpam-6216	336	45	,	,	PUNCT
ejpam-6216	336	46	κ3	κ3	PROPN
ejpam-6216	336	47	}	}	PUNCT
ejpam-6216	336	48	.	.	PUNCT
ejpam-6216	337	1	the	the	DET
ejpam-6216	337	2	sum	sum	NOUN
ejpam-6216	337	3	of	of	ADP
ejpam-6216	337	4	fuzzy	fuzzy	ADJ
ejpam-6216	337	5	cardinalities	cardinality	NOUN
ejpam-6216	337	6	of	of	ADP
ejpam-6216	337	7	d1	d1	NOUN
ejpam-6216	337	8	=	=	SYM
ejpam-6216	337	9	{	{	PUNCT
ejpam-6216	337	10	κ1	κ1	NOUN
ejpam-6216	337	11	,	,	PUNCT
ejpam-6216	337	12	κ2	κ2	NOUN
ejpam-6216	337	13	}	}	PUNCT
ejpam-6216	337	14	in	in	ADP
ejpam-6216	337	15	γ2	γ2	PROPN
ejpam-6216	337	16	and	and	CCONJ
ejpam-6216	337	17	γ2	γ2	PROPN
ejpam-6216	337	18	is	be	AUX
ejpam-6216	337	19	:	:	PUNCT
ejpam-6216	337	20	ωd1(γ2	ωd1(γ2	NOUN
ejpam-6216	337	21	)	)	PUNCT
ejpam-6216	337	22	+	+	NUM
ejpam-6216	337	23	ωd2(γ2	ωd2(γ2	NOUN
ejpam-6216	337	24	)	)	PUNCT
ejpam-6216	337	25	=	=	SYM
ejpam-6216	338	1	1	1	NUM
ejpam-6216	338	2	+	+	NUM
ejpam-6216	338	3	0.3	0.3	NUM
ejpam-6216	338	4	+	+	CCONJ
ejpam-6216	338	5	(	(	PUNCT
ejpam-6216	338	6	−0.1	−0.1	X
ejpam-6216	338	7	)	)	PUNCT
ejpam-6216	338	8	2	2	NUM
ejpam-6216	339	1	+	+	CCONJ
ejpam-6216	339	2	1	1	NUM
ejpam-6216	339	3	+	+	NUM
ejpam-6216	339	4	0.1	0.1	NUM
ejpam-6216	339	5	+	+	CCONJ
ejpam-6216	339	6	(	(	PUNCT
ejpam-6216	339	7	−0.3	−0.3	PROPN
ejpam-6216	339	8	)	)	PUNCT
ejpam-6216	339	9	2	2	NUM
ejpam-6216	340	1	+	+	CCONJ
ejpam-6216	340	2	1	1	NUM
ejpam-6216	340	3	+	+	NUM
ejpam-6216	340	4	0.3	0.3	NUM
ejpam-6216	340	5	+	+	CCONJ
ejpam-6216	340	6	(	(	PUNCT
ejpam-6216	340	7	−0.2	−0.2	PROPN
ejpam-6216	340	8	)	)	PUNCT
ejpam-6216	340	9	2	2	NUM
ejpam-6216	341	1	+	+	CCONJ
ejpam-6216	341	2	1	1	NUM
ejpam-6216	341	3	+	+	NUM
ejpam-6216	341	4	0.4	0.4	NUM
ejpam-6216	341	5	+	+	CCONJ
ejpam-6216	341	6	(	(	PUNCT
ejpam-6216	341	7	−0.5	−0.5	NOUN
ejpam-6216	341	8	)	)	PUNCT
ejpam-6216	341	9	2	2	NUM
ejpam-6216	341	10	ωd1(γ2	ωd1(γ2	NOUN
ejpam-6216	341	11	)	)	PUNCT
ejpam-6216	341	12	+	+	NUM
ejpam-6216	341	13	ωd1(γ2	ωd1(γ2	NOUN
ejpam-6216	341	14	)	)	PUNCT
ejpam-6216	341	15	=	=	SYM
ejpam-6216	341	16	2	2	NUM
ejpam-6216	341	17	the	the	DET
ejpam-6216	341	18	sum	sum	NOUN
ejpam-6216	341	19	of	of	ADP
ejpam-6216	341	20	fuzzy	fuzzy	ADJ
ejpam-6216	341	21	cardinalities	cardinality	NOUN
ejpam-6216	341	22	of	of	ADP
ejpam-6216	341	23	d2	d2	PROPN
ejpam-6216	341	24	=	=	SYM
ejpam-6216	341	25	{	{	PUNCT
ejpam-6216	341	26	κ1	κ1	NOUN
ejpam-6216	341	27	,	,	PUNCT
ejpam-6216	341	28	κ3	κ3	PROPN
ejpam-6216	341	29	}	}	PUNCT
ejpam-6216	341	30	in	in	ADP
ejpam-6216	341	31	γ2	γ2	PROPN
ejpam-6216	341	32	and	and	CCONJ
ejpam-6216	341	33	γ2	γ2	PROPN
ejpam-6216	341	34	is	be	AUX
ejpam-6216	341	35	:	:	PUNCT
ejpam-6216	341	36	ωd2(γ2	ωd2(γ2	X
ejpam-6216	341	37	)	)	PUNCT
ejpam-6216	341	38	+	+	NUM
ejpam-6216	341	39	ωd2(γ2	ωd2(γ2	NOUN
ejpam-6216	341	40	)	)	PUNCT
ejpam-6216	341	41	=	=	SYM
ejpam-6216	341	42	1	1	NUM
ejpam-6216	342	1	+	+	NUM
ejpam-6216	342	2	0.3	0.3	NUM
ejpam-6216	342	3	+	+	CCONJ
ejpam-6216	342	4	(	(	PUNCT
ejpam-6216	342	5	−0.1	−0.1	X
ejpam-6216	342	6	)	)	PUNCT
ejpam-6216	342	7	2	2	NUM
ejpam-6216	343	1	+	+	CCONJ
ejpam-6216	343	2	1	1	NUM
ejpam-6216	343	3	+	+	NUM
ejpam-6216	343	4	0.2	0.2	NUM
ejpam-6216	343	5	+	+	CCONJ
ejpam-6216	343	6	(	(	PUNCT
ejpam-6216	343	7	−0.1	−0.1	X
ejpam-6216	343	8	)	)	PUNCT
ejpam-6216	343	9	2	2	NUM
ejpam-6216	344	1	+	+	CCONJ
ejpam-6216	344	2	1	1	NUM
ejpam-6216	344	3	+	+	NUM
ejpam-6216	344	4	0.3	0.3	NUM
ejpam-6216	344	5	+	+	CCONJ
ejpam-6216	344	6	(	(	PUNCT
ejpam-6216	344	7	−0.2	−0.2	PROPN
ejpam-6216	344	8	)	)	PUNCT
ejpam-6216	344	9	2	2	NUM
ejpam-6216	345	1	+	+	CCONJ
ejpam-6216	345	2	1	1	NUM
ejpam-6216	345	3	+	+	NUM
ejpam-6216	345	4	0.5	0.5	NUM
ejpam-6216	345	5	+	+	CCONJ
ejpam-6216	345	6	(	(	PUNCT
ejpam-6216	345	7	−0.4	−0.4	NUM
ejpam-6216	345	8	)	)	PUNCT
ejpam-6216	345	9	2	2	NUM
ejpam-6216	345	10	ωd2(γ2	ωd2(γ2	NOUN
ejpam-6216	345	11	)	)	PUNCT
ejpam-6216	345	12	+	+	NUM
ejpam-6216	345	13	ωd2(γ2	ωd2(γ2	NOUN
ejpam-6216	345	14	)	)	PUNCT
ejpam-6216	345	15	=	=	NOUN
ejpam-6216	345	16	2.25	2.25	NUM
ejpam-6216	345	17	the	the	DET
ejpam-6216	345	18	sum	sum	NOUN
ejpam-6216	345	19	of	of	ADP
ejpam-6216	345	20	fuzzy	fuzzy	ADJ
ejpam-6216	345	21	cardinalities	cardinality	NOUN
ejpam-6216	345	22	of	of	ADP
ejpam-6216	345	23	d3	d3	PROPN
ejpam-6216	345	24	=	=	SYM
ejpam-6216	345	25	{	{	PUNCT
ejpam-6216	345	26	κ2	κ2	PROPN
ejpam-6216	345	27	,	,	PUNCT
ejpam-6216	345	28	κ3	κ3	PROPN
ejpam-6216	345	29	}	}	PUNCT
ejpam-6216	345	30	in	in	ADP
ejpam-6216	345	31	γ2	γ2	PROPN
ejpam-6216	345	32	and	and	CCONJ
ejpam-6216	345	33	γ2	γ2	PROPN
ejpam-6216	345	34	is	be	AUX
ejpam-6216	345	35	:	:	PUNCT
ejpam-6216	345	36	ωd3(γ2	ωd3(γ2	X
ejpam-6216	345	37	)	)	PUNCT
ejpam-6216	345	38	+	+	NUM
ejpam-6216	345	39	ωd3(γ2	ωd3(γ2	NOUN
ejpam-6216	345	40	)	)	PUNCT
ejpam-6216	345	41	=	=	SYM
ejpam-6216	346	1	1	1	NUM
ejpam-6216	346	2	+	+	NUM
ejpam-6216	346	3	0.2	0.2	NUM
ejpam-6216	346	4	+	+	CCONJ
ejpam-6216	346	5	(	(	PUNCT
ejpam-6216	346	6	−0.1	−0.1	X
ejpam-6216	346	7	)	)	PUNCT
ejpam-6216	346	8	2	2	NUM
ejpam-6216	347	1	+	+	CCONJ
ejpam-6216	347	2	1	1	NUM
ejpam-6216	347	3	+	+	NUM
ejpam-6216	347	4	0.1	0.1	NUM
ejpam-6216	347	5	+	+	CCONJ
ejpam-6216	347	6	(	(	PUNCT
ejpam-6216	347	7	−0.3	−0.3	PROPN
ejpam-6216	347	8	)	)	PUNCT
ejpam-6216	347	9	2	2	NUM
ejpam-6216	348	1	+	+	CCONJ
ejpam-6216	348	2	1	1	NUM
ejpam-6216	348	3	+	+	NUM
ejpam-6216	348	4	0.5	0.5	NUM
ejpam-6216	348	5	+	+	CCONJ
ejpam-6216	348	6	(	(	PUNCT
ejpam-6216	348	7	−0.4	−0.4	NUM
ejpam-6216	348	8	)	)	PUNCT
ejpam-6216	348	9	2	2	NUM
ejpam-6216	349	1	+	+	CCONJ
ejpam-6216	349	2	1	1	NUM
ejpam-6216	349	3	+	+	NUM
ejpam-6216	349	4	0.4	0.4	NUM
ejpam-6216	349	5	+	+	CCONJ
ejpam-6216	349	6	(	(	PUNCT
ejpam-6216	349	7	−0.5	−0.5	NOUN
ejpam-6216	349	8	)	)	PUNCT
ejpam-6216	349	9	2	2	NUM
ejpam-6216	349	10	ωd3(γ2	ωd3(γ2	NOUN
ejpam-6216	349	11	)	)	PUNCT
ejpam-6216	349	12	+	+	NUM
ejpam-6216	349	13	ωd3(γ2	ωd3(γ2	NOUN
ejpam-6216	349	14	)	)	PUNCT
ejpam-6216	349	15	=	=	SYM
ejpam-6216	349	16	1.95	1.95	NUM
ejpam-6216	349	17	d3	d3	NOUN
ejpam-6216	349	18	=	=	SYM
ejpam-6216	349	19	{	{	PUNCT
ejpam-6216	349	20	κ2	κ2	PROPN
ejpam-6216	349	21	,	,	PUNCT
ejpam-6216	349	22	κ3	κ3	PROPN
ejpam-6216	349	23	}	}	PUNCT
ejpam-6216	349	24	has	have	VERB
ejpam-6216	349	25	minimum	minimum	ADJ
ejpam-6216	349	26	sum	sum	NOUN
ejpam-6216	349	27	of	of	ADP
ejpam-6216	349	28	fuzzy	fuzzy	ADJ
ejpam-6216	349	29	cardinalities	cardinality	NOUN
ejpam-6216	349	30	,	,	PUNCT
ejpam-6216	349	31	therefore	therefore	ADV
ejpam-6216	349	32	{	{	PUNCT
ejpam-6216	349	33	κ2	κ2	PROPN
ejpam-6216	349	34	,	,	PUNCT
ejpam-6216	349	35	κ3	κ3	PROPN
ejpam-6216	349	36	}	}	PUNCT
ejpam-6216	349	37	is	be	AUX
ejpam-6216	349	38	a	a	DET
ejpam-6216	349	39	mds	mds	NOUN
ejpam-6216	349	40	and	and	CCONJ
ejpam-6216	349	41	the	the	DET
ejpam-6216	349	42	domination	domination	NOUN
ejpam-6216	349	43	number	number	NOUN
ejpam-6216	349	44	is	be	AUX
ejpam-6216	349	45	ω(γ2	ω(γ2	NOUN
ejpam-6216	349	46	)	)	PUNCT
ejpam-6216	350	1	=	=	NOUN
ejpam-6216	350	2	1.95	1.95	NUM
ejpam-6216	350	3	.	.	PUNCT
ejpam-6216	350	4	by	by	ADP
ejpam-6216	350	5	using	use	VERB
ejpam-6216	350	6	the	the	DET
ejpam-6216	350	7	same	same	ADJ
ejpam-6216	350	8	procedure	procedure	NOUN
ejpam-6216	350	9	,	,	PUNCT
ejpam-6216	350	10	the	the	DET
ejpam-6216	350	11	minimal	minimal	ADJ
ejpam-6216	350	12	dominating	dominating	NOUN
ejpam-6216	350	13	set	set	NOUN
ejpam-6216	350	14	of	of	ADP
ejpam-6216	350	15	γ1	γ1	PROPN
ejpam-6216	350	16	∪	∪	ADP
ejpam-6216	350	17	γ2	γ2	PROPN
ejpam-6216	350	18	is	be	AUX
ejpam-6216	350	19	{	{	PUNCT
ejpam-6216	350	20	ξ1	ξ1	NOUN
ejpam-6216	350	21	,	,	PUNCT
ejpam-6216	350	22	ξ3	ξ3	PROPN
ejpam-6216	350	23	,	,	PUNCT
ejpam-6216	350	24	κ2	κ2	NOUN
ejpam-6216	350	25	,	,	PUNCT
ejpam-6216	350	26	κ3	κ3	PROPN
ejpam-6216	350	27	}	}	PUNCT
ejpam-6216	350	28	and	and	CCONJ
ejpam-6216	350	29	the	the	DET
ejpam-6216	350	30	domination	domination	NOUN
ejpam-6216	350	31	number	number	NOUN
ejpam-6216	350	32	is	be	AUX
ejpam-6216	350	33	ω(γ1	ω(γ1	NOUN
ejpam-6216	350	34	∪	∪	ADJ
ejpam-6216	350	35	γ2	γ2	NOUN
ejpam-6216	350	36	)	)	PUNCT
ejpam-6216	350	37	=	=	SYM
ejpam-6216	350	38	3.9	3.9	NUM
ejpam-6216	350	39	.	.	PUNCT
ejpam-6216	351	1	notice	notice	VERB
ejpam-6216	351	2	that	that	SCONJ
ejpam-6216	351	3	ω(γ1	ω(γ1	NOUN
ejpam-6216	351	4	∪	∪	ADJ
ejpam-6216	351	5	γ2	γ2	NOUN
ejpam-6216	351	6	)	)	PUNCT
ejpam-6216	351	7	=	=	SYM
ejpam-6216	351	8	ω(γ1	ω(γ1	NOUN
ejpam-6216	351	9	)	)	PUNCT
ejpam-6216	352	1	+	+	NUM
ejpam-6216	352	2	ω(γ2	ω(γ2	NOUN
ejpam-6216	352	3	)	)	PUNCT
ejpam-6216	352	4	.	.	PUNCT
ejpam-6216	353	1	definition	definition	NOUN
ejpam-6216	353	2	21	21	NUM
ejpam-6216	353	3	.	.	PUNCT
ejpam-6216	354	1	let	let	VERB
ejpam-6216	354	2	γ	γ	X
ejpam-6216	354	3	=	=	SYM
ejpam-6216	354	4	(	(	PUNCT
ejpam-6216	354	5	γ	γ	X
ejpam-6216	354	6	,	,	PUNCT
ejpam-6216	354	7	γ	γ	NOUN
ejpam-6216	354	8	)	)	PUNCT
ejpam-6216	354	9	be	be	VERB
ejpam-6216	354	10	a	a	DET
ejpam-6216	354	11	bfrd	bfrd	NOUN
ejpam-6216	354	12	,	,	PUNCT
ejpam-6216	354	13	the	the	DET
ejpam-6216	354	14	degree	degree	NOUN
ejpam-6216	354	15	of	of	ADP
ejpam-6216	354	16	a	a	DET
ejpam-6216	354	17	vertex	vertex	NOUN
ejpam-6216	354	18	ϵ0	ϵ0	NOUN
ejpam-6216	354	19	∈	∈	PROPN
ejpam-6216	354	20	v	v	NOUN
ejpam-6216	354	21	in	in	ADP
ejpam-6216	354	22	γ	γ	X
ejpam-6216	354	23	is	be	AUX
ejpam-6216	354	24	defined	define	VERB
ejpam-6216	354	25	as	as	ADP
ejpam-6216	354	26	:	:	PUNCT
ejpam-6216	354	27	dγ(ϵ0	dγ(ϵ0	ADJ
ejpam-6216	354	28	)	)	PUNCT
ejpam-6216	354	29	=(	=(	NOUN
ejpam-6216	354	30	d+γ	d+γ	PROPN
ejpam-6216	354	31	(	(	PUNCT
ejpam-6216	354	32	ϵ0	ϵ0	NUM
ejpam-6216	354	33	)	)	PUNCT
ejpam-6216	354	34	,	,	PUNCT
ejpam-6216	355	1	d	d	X
ejpam-6216	355	2	−	−	X
ejpam-6216	355	3	γ	γ	X
ejpam-6216	355	4	(	(	PUNCT
ejpam-6216	355	5	ϵ0	ϵ0	NUM
ejpam-6216	355	6	)	)	PUNCT
ejpam-6216	355	7	)	)	PUNCT
ejpam-6216	355	8	=(	=(	NOUN
ejpam-6216	355	9	(	(	PUNCT
ejpam-6216	355	10	(	(	PUNCT
ejpam-6216	355	11	∑	∑	ADV
ejpam-6216	355	12	ϵ0	ϵ0	ADJ
ejpam-6216	355	13	̸=ϵ1	̸=ϵ1	X
ejpam-6216	355	14	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	355	15	,	,	PUNCT
ejpam-6216	355	16	ϵ1	ϵ1	ADJ
ejpam-6216	355	17	)	)	PUNCT
ejpam-6216	355	18	+	+	CCONJ
ejpam-6216	355	19	∑	∑	PUNCT
ejpam-6216	355	20	ϵ0	ϵ0	ADJ
ejpam-6216	355	21	̸=ϵ1	̸=ϵ1	X
ejpam-6216	355	22	lλ+(ϵ1	lλ+(ϵ1	PROPN
ejpam-6216	355	23	,	,	PUNCT
ejpam-6216	355	24	ϵ0	ϵ0	NUM
ejpam-6216	355	25	)	)	PUNCT
ejpam-6216	356	1	+	+	CCONJ
ejpam-6216	356	2	∑	∑	PROPN
ejpam-6216	356	3	ϵ0=ϵ1	ϵ0=ϵ1	PROPN
ejpam-6216	356	4	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	356	5	,	,	PUNCT
ejpam-6216	356	6	ϵ1	ϵ1	ADJ
ejpam-6216	356	7	)	)	PUNCT
ejpam-6216	356	8	)	)	PUNCT
ejpam-6216	356	9	,	,	PUNCT
ejpam-6216	356	10	(	(	PUNCT
ejpam-6216	356	11	∑	∑	ADV
ejpam-6216	356	12	ϵ0	ϵ0	ADJ
ejpam-6216	356	13	̸=ϵ1	̸=ϵ1	X
ejpam-6216	356	14	lλ−(ϵ0	lλ−(ϵ0	PROPN
ejpam-6216	356	15	,	,	PUNCT
ejpam-6216	356	16	ϵ1	ϵ1	ADJ
ejpam-6216	356	17	)	)	PUNCT
ejpam-6216	357	1	+	+	CCONJ
ejpam-6216	357	2	∑	∑	PROPN
ejpam-6216	357	3	ϵ0	ϵ0	ADJ
ejpam-6216	357	4	̸=ϵ1	̸=ϵ1	X
ejpam-6216	357	5	lλ−(ϵ1	lλ−(ϵ1	NOUN
ejpam-6216	357	6	,	,	PUNCT
ejpam-6216	357	7	ϵ0	ϵ0	NUM
ejpam-6216	357	8	)	)	PUNCT
ejpam-6216	357	9	)	)	PUNCT
ejpam-6216	358	1	+	+	CCONJ
ejpam-6216	358	2	∑	∑	PROPN
ejpam-6216	358	3	ϵ0=ϵ1	ϵ0=ϵ1	PROPN
ejpam-6216	358	4	lλ−(ϵ1	lλ−(ϵ1	ADJ
ejpam-6216	358	5	,	,	PUNCT
ejpam-6216	358	6	ϵ0	ϵ0	NUM
ejpam-6216	358	7	)	)	PUNCT
ejpam-6216	358	8	)	)	PUNCT
ejpam-6216	358	9	)	)	PUNCT
ejpam-6216	359	1	dγ(ϵ0	dγ(ϵ0	ADJ
ejpam-6216	359	2	)	)	PUNCT
ejpam-6216	359	3	=(	=(	ADJ
ejpam-6216	359	4	d+	d+	PUNCT
ejpam-6216	359	5	γ	γ	X
ejpam-6216	359	6	(	(	PUNCT
ejpam-6216	359	7	ϵ0	ϵ0	NUM
ejpam-6216	359	8	)	)	PUNCT
ejpam-6216	359	9	,	,	PUNCT
ejpam-6216	360	1	d	d	X
ejpam-6216	360	2	−	−	X
ejpam-6216	360	3	γ	γ	X
ejpam-6216	360	4	(	(	PUNCT
ejpam-6216	360	5	ϵ0	ϵ0	NUM
ejpam-6216	360	6	)	)	PUNCT
ejpam-6216	360	7	)	)	PUNCT
ejpam-6216	360	8	=(	=(	NOUN
ejpam-6216	360	9	(	(	PUNCT
ejpam-6216	360	10	(	(	PUNCT
ejpam-6216	360	11	∑	∑	ADV
ejpam-6216	360	12	ϵ0	ϵ0	ADJ
ejpam-6216	360	13	̸=ϵ1	̸=ϵ1	X
ejpam-6216	360	14	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	360	15	,	,	PUNCT
ejpam-6216	360	16	ϵ1	ϵ1	ADJ
ejpam-6216	360	17	)	)	PUNCT
ejpam-6216	360	18	+	+	CCONJ
ejpam-6216	360	19	∑	∑	PUNCT
ejpam-6216	360	20	ϵ0	ϵ0	ADJ
ejpam-6216	360	21	̸=ϵ1	̸=ϵ1	X
ejpam-6216	360	22	lλ+(ϵ1	lλ+(ϵ1	PROPN
ejpam-6216	360	23	,	,	PUNCT
ejpam-6216	360	24	ϵ0	ϵ0	NUM
ejpam-6216	360	25	)	)	PUNCT
ejpam-6216	361	1	+	+	CCONJ
ejpam-6216	361	2	∑	∑	PROPN
ejpam-6216	361	3	ϵ0=ϵ1	ϵ0=ϵ1	PROPN
ejpam-6216	361	4	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	361	5	,	,	PUNCT
ejpam-6216	361	6	ϵ1	ϵ1	ADJ
ejpam-6216	361	7	)	)	PUNCT
ejpam-6216	361	8	)	)	PUNCT
ejpam-6216	361	9	,	,	PUNCT
ejpam-6216	361	10	(	(	PUNCT
ejpam-6216	361	11	∑	∑	ADV
ejpam-6216	361	12	ϵ0	ϵ0	ADJ
ejpam-6216	361	13	̸=ϵ1	̸=ϵ1	X
ejpam-6216	361	14	lλ−(ϵ0	lλ−(ϵ0	PROPN
ejpam-6216	361	15	,	,	PUNCT
ejpam-6216	361	16	ϵ1	ϵ1	ADJ
ejpam-6216	361	17	)	)	PUNCT
ejpam-6216	362	1	+	+	CCONJ
ejpam-6216	362	2	∑	∑	PROPN
ejpam-6216	362	3	ϵ0	ϵ0	ADJ
ejpam-6216	362	4	̸=ϵ1	̸=ϵ1	X
ejpam-6216	362	5	lλ−(ϵ1	lλ−(ϵ1	NOUN
ejpam-6216	362	6	,	,	PUNCT
ejpam-6216	362	7	ϵ0	ϵ0	NUM
ejpam-6216	362	8	)	)	PUNCT
ejpam-6216	362	9	)	)	PUNCT
ejpam-6216	363	1	+	+	CCONJ
ejpam-6216	363	2	∑	∑	PROPN
ejpam-6216	363	3	ϵ0=ϵ1	ϵ0=ϵ1	PROPN
ejpam-6216	363	4	lλ−(ϵ1	lλ−(ϵ1	ADJ
ejpam-6216	363	5	,	,	PUNCT
ejpam-6216	363	6	ϵ0	ϵ0	NUM
ejpam-6216	363	7	)	)	PUNCT
ejpam-6216	363	8	)	)	PUNCT
ejpam-6216	363	9	)	)	PUNCT
ejpam-6216	364	1	such	such	ADJ
ejpam-6216	364	2	that	that	SCONJ
ejpam-6216	364	3	:	:	PUNCT
ejpam-6216	364	4	dγ(ϵ0	dγ(ϵ0	X
ejpam-6216	364	5	)	)	PUNCT
ejpam-6216	364	6	=	=	PUNCT
ejpam-6216	364	7	dγ(ϵ0	dγ(ϵ0	X
ejpam-6216	364	8	)	)	PUNCT
ejpam-6216	365	1	+	+	CCONJ
ejpam-6216	365	2	dγ(ϵ0	dγ(ϵ0	X
ejpam-6216	365	3	)	)	PUNCT
ejpam-6216	365	4	=	=	SYM
ejpam-6216	365	5	(	(	PUNCT
ejpam-6216	365	6	d+γ	d+γ	X
ejpam-6216	365	7	(	(	PUNCT
ejpam-6216	365	8	ϵ0	ϵ0	NUM
ejpam-6216	365	9	)	)	PUNCT
ejpam-6216	365	10	+	+	NUM
ejpam-6216	365	11	d+	d+	NOUN
ejpam-6216	365	12	γ	γ	X
ejpam-6216	365	13	(	(	PUNCT
ejpam-6216	365	14	ϵ0	ϵ0	NUM
ejpam-6216	365	15	)	)	PUNCT
ejpam-6216	365	16	,	,	PUNCT
ejpam-6216	365	17	d	d	X
ejpam-6216	365	18	−	−	X
ejpam-6216	365	19	γ	γ	X
ejpam-6216	365	20	(	(	PUNCT
ejpam-6216	365	21	ϵ0	ϵ0	NUM
ejpam-6216	365	22	)	)	PUNCT
ejpam-6216	365	23	+	+	CCONJ
ejpam-6216	365	24	d−	d−	PROPN
ejpam-6216	365	25	γ	γ	X
ejpam-6216	365	26	(	(	PUNCT
ejpam-6216	365	27	ϵ0	ϵ0	NUM
ejpam-6216	365	28	)	)	PUNCT
ejpam-6216	365	29	)	)	PUNCT
ejpam-6216	365	30	a.	a.	PROPN
ejpam-6216	365	31	arif	arif	PROPN
ejpam-6216	365	32	et	et	PROPN
ejpam-6216	365	33	al	al	PROPN
ejpam-6216	365	34	.	.	PUNCT
ejpam-6216	365	35	/	/	SYM
ejpam-6216	365	36	eur	eur	PROPN
ejpam-6216	365	37	.	.	PUNCT
ejpam-6216	366	1	j.	j.	PROPN
ejpam-6216	366	2	pure	pure	PROPN
ejpam-6216	366	3	appl	appl	PROPN
ejpam-6216	366	4	.	.	PROPN
ejpam-6216	366	5	math	math	PROPN
ejpam-6216	366	6	,	,	PUNCT
ejpam-6216	366	7	18	18	NUM
ejpam-6216	366	8	(	(	PUNCT
ejpam-6216	366	9	4	4	NUM
ejpam-6216	366	10	)	)	PUNCT
ejpam-6216	366	11	(	(	PUNCT
ejpam-6216	366	12	2025	2025	NUM
ejpam-6216	366	13	)	)	PUNCT
ejpam-6216	366	14	,	,	PUNCT
ejpam-6216	366	15	6216	6216	NUM
ejpam-6216	366	16	21	21	NUM
ejpam-6216	366	17	of	of	ADP
ejpam-6216	366	18	36	36	NUM
ejpam-6216	366	19	example	example	NOUN
ejpam-6216	366	20	6	6	NUM
ejpam-6216	366	21	.	.	PUNCT
ejpam-6216	367	1	let	let	VERB
ejpam-6216	367	2	γ	γ	X
ejpam-6216	367	3	=	=	SYM
ejpam-6216	367	4	(	(	PUNCT
ejpam-6216	367	5	γ	γ	X
ejpam-6216	367	6	,	,	PUNCT
ejpam-6216	367	7	γ	γ	NOUN
ejpam-6216	367	8	)	)	PUNCT
ejpam-6216	367	9	be	be	VERB
ejpam-6216	367	10	a	a	DET
ejpam-6216	367	11	bfrd	bfrd	NOUN
ejpam-6216	367	12	defined	define	VERB
ejpam-6216	367	13	in	in	ADP
ejpam-6216	367	14	figure	figure	NOUN
ejpam-6216	367	15	1	1	NUM
ejpam-6216	367	16	then	then	ADV
ejpam-6216	367	17	the	the	DET
ejpam-6216	367	18	degree	degree	NOUN
ejpam-6216	367	19	of	of	ADP
ejpam-6216	367	20	ϵ	ϵ	PROPN
ejpam-6216	367	21	is	be	AUX
ejpam-6216	367	22	given	give	VERB
ejpam-6216	367	23	by	by	ADP
ejpam-6216	367	24	:	:	PUNCT
ejpam-6216	367	25	dγ(ϵ	dγ(ϵ	ADJ
ejpam-6216	367	26	)	)	PUNCT
ejpam-6216	367	27	=(	=(	NOUN
ejpam-6216	367	28	d+γ	d+γ	PROPN
ejpam-6216	367	29	(	(	PUNCT
ejpam-6216	367	30	ϵ	ϵ	NOUN
ejpam-6216	367	31	)	)	PUNCT
ejpam-6216	367	32	,	,	PUNCT
ejpam-6216	368	1	d	d	X
ejpam-6216	368	2	−	−	X
ejpam-6216	368	3	γ	γ	X
ejpam-6216	368	4	(	(	PUNCT
ejpam-6216	368	5	ϵ	ϵ	NOUN
ejpam-6216	368	6	)	)	PUNCT
ejpam-6216	368	7	)	)	PUNCT
ejpam-6216	369	1	=	=	SYM
ejpam-6216	369	2	(	(	PUNCT
ejpam-6216	369	3	(	(	PUNCT
ejpam-6216	369	4	lλ+(ϵ	lλ+(ϵ	X
ejpam-6216	369	5	,	,	PUNCT
ejpam-6216	369	6	ϵ	ϵ	X
ejpam-6216	369	7	)	)	PUNCT
ejpam-6216	369	8	+	+	CCONJ
ejpam-6216	370	1	lλ+(ϵ	lλ+(ϵ	PROPN
ejpam-6216	370	2	,	,	PUNCT
ejpam-6216	370	3	η	η	PROPN
ejpam-6216	370	4	)	)	PUNCT
ejpam-6216	370	5	+	+	PUNCT
ejpam-6216	370	6	lλ+(ϵ	lλ+(ϵ	ADJ
ejpam-6216	370	7	,	,	PUNCT
ejpam-6216	370	8	ξ	ξ	NOUN
ejpam-6216	370	9	)	)	PUNCT
ejpam-6216	370	10	)	)	PUNCT
ejpam-6216	370	11	,	,	PUNCT
ejpam-6216	370	12	(	(	PUNCT
ejpam-6216	370	13	lλ−(ϵ	lλ−(ϵ	PROPN
ejpam-6216	370	14	,	,	PUNCT
ejpam-6216	370	15	ϵ	ϵ	NOUN
ejpam-6216	370	16	)	)	PUNCT
ejpam-6216	370	17	+	+	CCONJ
ejpam-6216	370	18	lλ−(ϵ	lλ−(ϵ	PROPN
ejpam-6216	370	19	,	,	PUNCT
ejpam-6216	370	20	η	η	NOUN
ejpam-6216	370	21	)	)	PUNCT
ejpam-6216	370	22	+	+	CCONJ
ejpam-6216	370	23	lλ−(ϵ	lλ−(ϵ	PROPN
ejpam-6216	370	24	,	,	PUNCT
ejpam-6216	370	25	ξ	ξ	NOUN
ejpam-6216	370	26	)	)	PUNCT
ejpam-6216	370	27	)	)	PUNCT
ejpam-6216	370	28	)	)	PUNCT
ejpam-6216	371	1	=(	=(	PROPN
ejpam-6216	371	2	0.4,−0.5	0.4,−0.5	NUM
ejpam-6216	371	3	)	)	PUNCT
ejpam-6216	371	4	dγ(ϵ	dγ(ϵ	PUNCT
ejpam-6216	371	5	)	)	PUNCT
ejpam-6216	371	6	=(	=(	ADJ
ejpam-6216	371	7	d+	d+	PUNCT
ejpam-6216	371	8	γ	γ	X
ejpam-6216	371	9	(	(	PUNCT
ejpam-6216	371	10	ϵ	ϵ	NOUN
ejpam-6216	371	11	)	)	PUNCT
ejpam-6216	371	12	,	,	PUNCT
ejpam-6216	371	13	d−	d−	PROPN
ejpam-6216	371	14	γ	γ	X
ejpam-6216	371	15	(	(	PUNCT
ejpam-6216	371	16	ϵ	ϵ	NOUN
ejpam-6216	371	17	)	)	PUNCT
ejpam-6216	371	18	)	)	PUNCT
ejpam-6216	372	1	=	=	SYM
ejpam-6216	372	2	(	(	PUNCT
ejpam-6216	372	3	(	(	PUNCT
ejpam-6216	372	4	lλ+(ϵ	lλ+(ϵ	X
ejpam-6216	372	5	,	,	PUNCT
ejpam-6216	372	6	ϵ	ϵ	X
ejpam-6216	372	7	)	)	PUNCT
ejpam-6216	372	8	+	+	CCONJ
ejpam-6216	373	1	lλ+(ϵ	lλ+(ϵ	PROPN
ejpam-6216	373	2	,	,	PUNCT
ejpam-6216	373	3	η	η	PROPN
ejpam-6216	373	4	)	)	PUNCT
ejpam-6216	373	5	+	+	PUNCT
ejpam-6216	373	6	lλ+(ϵ	lλ+(ϵ	ADJ
ejpam-6216	373	7	,	,	PUNCT
ejpam-6216	373	8	ξ	ξ	NOUN
ejpam-6216	373	9	)	)	PUNCT
ejpam-6216	373	10	)	)	PUNCT
ejpam-6216	373	11	,	,	PUNCT
ejpam-6216	373	12	(	(	PUNCT
ejpam-6216	373	13	lλ−(ϵ	lλ−(ϵ	PROPN
ejpam-6216	373	14	,	,	PUNCT
ejpam-6216	373	15	ϵ	ϵ	NOUN
ejpam-6216	373	16	)	)	PUNCT
ejpam-6216	373	17	+	+	CCONJ
ejpam-6216	373	18	lλ−(ϵ	lλ−(ϵ	PROPN
ejpam-6216	373	19	,	,	PUNCT
ejpam-6216	373	20	η	η	NOUN
ejpam-6216	373	21	)	)	PUNCT
ejpam-6216	373	22	+	+	CCONJ
ejpam-6216	373	23	lλ−(ϵ	lλ−(ϵ	PROPN
ejpam-6216	373	24	,	,	PUNCT
ejpam-6216	373	25	ξ	ξ	NOUN
ejpam-6216	373	26	)	)	PUNCT
ejpam-6216	373	27	)	)	PUNCT
ejpam-6216	373	28	)	)	PUNCT
ejpam-6216	374	1	=(	=(	NOUN
ejpam-6216	374	2	0.5,−0.5	0.5,−0.5	NUM
ejpam-6216	374	3	)	)	PUNCT
ejpam-6216	374	4	dγ(ϵ	dγ(ϵ	PUNCT
ejpam-6216	374	5	)	)	PUNCT
ejpam-6216	374	6	=(	=(	NOUN
ejpam-6216	374	7	d+γ	d+γ	PROPN
ejpam-6216	374	8	(	(	PUNCT
ejpam-6216	374	9	ϵ	ϵ	NOUN
ejpam-6216	374	10	)	)	PUNCT
ejpam-6216	374	11	+	+	NUM
ejpam-6216	374	12	d+	d+	NOUN
ejpam-6216	374	13	γ	γ	X
ejpam-6216	374	14	(	(	PUNCT
ejpam-6216	374	15	ϵ	ϵ	NOUN
ejpam-6216	374	16	)	)	PUNCT
ejpam-6216	374	17	,	,	PUNCT
ejpam-6216	374	18	d−γ	d−γ	VERB
ejpam-6216	374	19	(	(	PUNCT
ejpam-6216	374	20	ϵ	ϵ	NOUN
ejpam-6216	374	21	)	)	PUNCT
ejpam-6216	375	1	+	+	CCONJ
ejpam-6216	375	2	d−	d−	PROPN
ejpam-6216	375	3	γ	γ	X
ejpam-6216	375	4	(	(	PUNCT
ejpam-6216	375	5	ϵ	ϵ	NOUN
ejpam-6216	375	6	)	)	PUNCT
ejpam-6216	375	7	)	)	PUNCT
ejpam-6216	375	8	=(	=(	NOUN
ejpam-6216	375	9	0.9,−1.0	0.9,−1.0	NUM
ejpam-6216	375	10	)	)	PUNCT
ejpam-6216	375	11	definition	definition	NOUN
ejpam-6216	375	12	22	22	NUM
ejpam-6216	375	13	.	.	PUNCT
ejpam-6216	376	1	let	let	VERB
ejpam-6216	376	2	γ	γ	X
ejpam-6216	376	3	=	=	SYM
ejpam-6216	376	4	(	(	PUNCT
ejpam-6216	376	5	γ	γ	X
ejpam-6216	376	6	,	,	PUNCT
ejpam-6216	376	7	γ	γ	NOUN
ejpam-6216	376	8	)	)	PUNCT
ejpam-6216	376	9	be	be	VERB
ejpam-6216	376	10	a	a	DET
ejpam-6216	376	11	bfrd	bfrd	NOUN
ejpam-6216	376	12	,	,	PUNCT
ejpam-6216	376	13	the	the	DET
ejpam-6216	376	14	total	total	ADJ
ejpam-6216	376	15	degree	degree	NOUN
ejpam-6216	376	16	of	of	ADP
ejpam-6216	376	17	a	a	DET
ejpam-6216	376	18	vertex	vertex	NOUN
ejpam-6216	376	19	ϵ0	ϵ0	NOUN
ejpam-6216	376	20	∈	∈	PROPN
ejpam-6216	376	21	v	v	NOUN
ejpam-6216	376	22	in	in	ADP
ejpam-6216	376	23	γ	γ	X
ejpam-6216	376	24	is	be	AUX
ejpam-6216	376	25	defined	define	VERB
ejpam-6216	376	26	as	as	ADP
ejpam-6216	376	27	:	:	PUNCT
ejpam-6216	376	28	tdγ(ϵ0	tdγ(ϵ0	NOUN
ejpam-6216	376	29	)	)	PUNCT
ejpam-6216	376	30	=(	=(	NOUN
ejpam-6216	376	31	td+γ	td+γ	PROPN
ejpam-6216	376	32	(	(	PUNCT
ejpam-6216	376	33	ϵ0	ϵ0	NUM
ejpam-6216	376	34	)	)	PUNCT
ejpam-6216	376	35	,	,	PUNCT
ejpam-6216	376	36	td	td	ADP
ejpam-6216	376	37	−	−	PROPN
ejpam-6216	376	38	γ	γ	X
ejpam-6216	376	39	(	(	PUNCT
ejpam-6216	376	40	ϵ0	ϵ0	NUM
ejpam-6216	376	41	)	)	PUNCT
ejpam-6216	376	42	)	)	PUNCT
ejpam-6216	377	1	td+γ	td+γ	PROPN
ejpam-6216	377	2	(	(	PUNCT
ejpam-6216	377	3	ϵ0	ϵ0	NUM
ejpam-6216	377	4	)	)	PUNCT
ejpam-6216	377	5	=	=	NOUN
ejpam-6216	377	6	d+γ	d+γ	X
ejpam-6216	377	7	(	(	PUNCT
ejpam-6216	377	8	ϵ0	ϵ0	NUM
ejpam-6216	377	9	)	)	PUNCT
ejpam-6216	377	10	+	+	CCONJ
ejpam-6216	377	11	υw+(ϵ0	υw+(ϵ0	ADJ
ejpam-6216	377	12	)	)	PUNCT
ejpam-6216	377	13	td−γ	td−γ	PROPN
ejpam-6216	377	14	(	(	PUNCT
ejpam-6216	377	15	ϵ0	ϵ0	NUM
ejpam-6216	377	16	)	)	PUNCT
ejpam-6216	378	1	=	=	PRON
ejpam-6216	378	2	d−γ	d−γ	VERB
ejpam-6216	378	3	(	(	PUNCT
ejpam-6216	378	4	ϵ0	ϵ0	NUM
ejpam-6216	378	5	)	)	PUNCT
ejpam-6216	378	6	+	+	CCONJ
ejpam-6216	379	1	υw−(ϵ0	υw−(ϵ0	ADJ
ejpam-6216	379	2	)	)	PUNCT
ejpam-6216	379	3	tdγ(ϵ0	tdγ(ϵ0	NOUN
ejpam-6216	379	4	)	)	PUNCT
ejpam-6216	379	5	=(	=(	PROPN
ejpam-6216	379	6	td+	td+	PROPN
ejpam-6216	379	7	γ	γ	X
ejpam-6216	379	8	(	(	PUNCT
ejpam-6216	379	9	ϵ0	ϵ0	NUM
ejpam-6216	379	10	)	)	PUNCT
ejpam-6216	379	11	,	,	PUNCT
ejpam-6216	379	12	td	td	ADP
ejpam-6216	379	13	−	−	PROPN
ejpam-6216	379	14	γ	γ	X
ejpam-6216	379	15	(	(	PUNCT
ejpam-6216	379	16	ϵ0	ϵ0	NUM
ejpam-6216	379	17	)	)	PUNCT
ejpam-6216	379	18	)	)	PUNCT
ejpam-6216	379	19	td+	td+	PROPN
ejpam-6216	379	20	γ	γ	X
ejpam-6216	379	21	(	(	PUNCT
ejpam-6216	379	22	ϵ0	ϵ0	NUM
ejpam-6216	379	23	)	)	PUNCT
ejpam-6216	379	24	=	=	NOUN
ejpam-6216	379	25	d+	d+	PUNCT
ejpam-6216	379	26	γ	γ	X
ejpam-6216	379	27	(	(	PUNCT
ejpam-6216	379	28	ϵ0	ϵ0	NUM
ejpam-6216	379	29	)	)	PUNCT
ejpam-6216	380	1	+	+	CCONJ
ejpam-6216	380	2	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	380	3	)	)	PUNCT
ejpam-6216	380	4	td−	td−	PROPN
ejpam-6216	380	5	γ	γ	X
ejpam-6216	380	6	(	(	PUNCT
ejpam-6216	380	7	ϵ0	ϵ0	NUM
ejpam-6216	380	8	)	)	PUNCT
ejpam-6216	380	9	=	=	SYM
ejpam-6216	380	10	d−	d−	PROPN
ejpam-6216	380	11	γ	γ	X
ejpam-6216	380	12	(	(	PUNCT
ejpam-6216	380	13	ϵ0	ϵ0	PROPN
ejpam-6216	380	14	)	)	PUNCT
ejpam-6216	380	15	+	+	CCONJ
ejpam-6216	380	16	υw−(ϵ0	υw−(ϵ0	NOUN
ejpam-6216	380	17	)	)	PUNCT
ejpam-6216	380	18	such	such	ADJ
ejpam-6216	380	19	that	that	SCONJ
ejpam-6216	380	20	:	:	PUNCT
ejpam-6216	380	21	tdγ(ϵ0	tdγ(ϵ0	X
ejpam-6216	380	22	)	)	PUNCT
ejpam-6216	380	23	=	=	SYM
ejpam-6216	381	1	tdγ(ϵ0	tdγ(ϵ0	NOUN
ejpam-6216	381	2	)	)	PUNCT
ejpam-6216	382	1	+	+	PUNCT
ejpam-6216	382	2	tdγ(ϵ0	tdγ(ϵ0	X
ejpam-6216	382	3	)	)	PUNCT
ejpam-6216	382	4	=	=	SYM
ejpam-6216	382	5	(	(	PUNCT
ejpam-6216	382	6	td+γ	td+γ	PROPN
ejpam-6216	382	7	(	(	PUNCT
ejpam-6216	382	8	ϵ0	ϵ0	PROPN
ejpam-6216	382	9	)	)	PUNCT
ejpam-6216	383	1	+	+	NUM
ejpam-6216	383	2	td+	td+	X
ejpam-6216	383	3	γ	γ	X
ejpam-6216	383	4	(	(	PUNCT
ejpam-6216	383	5	ϵ0	ϵ0	NUM
ejpam-6216	383	6	)	)	PUNCT
ejpam-6216	383	7	,	,	PUNCT
ejpam-6216	383	8	td	td	ADP
ejpam-6216	383	9	−	−	PROPN
ejpam-6216	383	10	γ	γ	X
ejpam-6216	383	11	(	(	PUNCT
ejpam-6216	383	12	ϵ0	ϵ0	NUM
ejpam-6216	383	13	)	)	PUNCT
ejpam-6216	383	14	+	+	CCONJ
ejpam-6216	383	15	td−	td−	NUM
ejpam-6216	383	16	γ	γ	X
ejpam-6216	383	17	(	(	PUNCT
ejpam-6216	383	18	ϵ0	ϵ0	NUM
ejpam-6216	383	19	)	)	PUNCT
ejpam-6216	383	20	)	)	PUNCT
ejpam-6216	383	21	example	example	NOUN
ejpam-6216	384	1	7	7	X
ejpam-6216	384	2	.	.	PUNCT
ejpam-6216	384	3	let	let	VERB
ejpam-6216	384	4	γ	γ	X
ejpam-6216	384	5	=	=	SYM
ejpam-6216	384	6	(	(	PUNCT
ejpam-6216	384	7	γ	γ	X
ejpam-6216	384	8	,	,	PUNCT
ejpam-6216	384	9	γ	γ	NOUN
ejpam-6216	384	10	)	)	PUNCT
ejpam-6216	384	11	be	be	VERB
ejpam-6216	384	12	a	a	DET
ejpam-6216	384	13	bfrd	bfrd	NOUN
ejpam-6216	384	14	on	on	ADP
ejpam-6216	384	15	universal	universal	ADJ
ejpam-6216	384	16	set	set	NOUN
ejpam-6216	384	17	x	x	X
ejpam-6216	384	18	=	=	PRON
ejpam-6216	384	19	{	{	PUNCT
ejpam-6216	384	20	ξ1	ξ1	NOUN
ejpam-6216	384	21	,	,	PUNCT
ejpam-6216	384	22	ξ2	ξ2	ADJ
ejpam-6216	384	23	,	,	PUNCT
ejpam-6216	384	24	ξ3	ξ3	NOUN
ejpam-6216	384	25	,	,	PUNCT
ejpam-6216	384	26	ξ4	ξ4	NOUN
ejpam-6216	384	27	}	}	PUNCT
ejpam-6216	384	28	defined	define	VERB
ejpam-6216	384	29	below	below	ADP
ejpam-6216	384	30	in	in	ADP
ejpam-6216	384	31	figure	figure	NOUN
ejpam-6216	384	32	8	8	NUM
ejpam-6216	384	33	:	:	PUNCT
ejpam-6216	384	34	the	the	DET
ejpam-6216	384	35	total	total	ADJ
ejpam-6216	384	36	degree	degree	NOUN
ejpam-6216	384	37	of	of	ADP
ejpam-6216	384	38	vertex	vertex	NOUN
ejpam-6216	384	39	ξ3	ξ3	PROPN
ejpam-6216	384	40	is	be	AUX
ejpam-6216	384	41	given	give	VERB
ejpam-6216	384	42	by	by	ADP
ejpam-6216	384	43	:	:	PUNCT
ejpam-6216	384	44	td+γ	td+γ	PROPN
ejpam-6216	384	45	(	(	PUNCT
ejpam-6216	384	46	ξ3	ξ3	NOUN
ejpam-6216	384	47	)	)	PUNCT
ejpam-6216	384	48	=	=	NOUN
ejpam-6216	384	49	0.1	0.1	NUM
ejpam-6216	384	50	+	+	NUM
ejpam-6216	384	51	0.1	0.1	NUM
ejpam-6216	384	52	+	+	CCONJ
ejpam-6216	384	53	0.1	0.1	NUM
ejpam-6216	384	54	+	+	CCONJ
ejpam-6216	384	55	0.2	0.2	NUM
ejpam-6216	384	56	=	=	SYM
ejpam-6216	384	57	0.5	0.5	NUM
ejpam-6216	384	58	td−γ	td−γ	PROPN
ejpam-6216	384	59	(	(	PUNCT
ejpam-6216	384	60	ξ3	ξ3	NOUN
ejpam-6216	384	61	)	)	PUNCT
ejpam-6216	384	62	=	=	NOUN
ejpam-6216	384	63	−	−	NOUN
ejpam-6216	384	64	0.1	0.1	NUM
ejpam-6216	385	1	+	+	CCONJ
ejpam-6216	385	2	(	(	PUNCT
ejpam-6216	385	3	−0.1	−0.1	X
ejpam-6216	385	4	)	)	PUNCT
ejpam-6216	386	1	+	+	CCONJ
ejpam-6216	386	2	(	(	PUNCT
ejpam-6216	386	3	−0.1	−0.1	X
ejpam-6216	386	4	)	)	PUNCT
ejpam-6216	387	1	+	+	CCONJ
ejpam-6216	387	2	(	(	PUNCT
ejpam-6216	387	3	−0.2	−0.2	PROPN
ejpam-6216	387	4	)	)	PUNCT
ejpam-6216	387	5	=	=	PUNCT
ejpam-6216	388	1	−0.5	−0.5	NUM
ejpam-6216	388	2	td+	td+	X
ejpam-6216	388	3	γ	γ	X
ejpam-6216	388	4	(	(	PUNCT
ejpam-6216	388	5	ξ3	ξ3	NOUN
ejpam-6216	388	6	)	)	PUNCT
ejpam-6216	388	7	=	=	NOUN
ejpam-6216	388	8	0.2	0.2	NUM
ejpam-6216	388	9	+	+	NUM
ejpam-6216	388	10	0.2	0.2	NUM
ejpam-6216	388	11	+	+	NUM
ejpam-6216	388	12	0.1	0.1	NUM
ejpam-6216	388	13	+	+	CCONJ
ejpam-6216	388	14	0.3	0.3	NUM
ejpam-6216	388	15	=	=	SYM
ejpam-6216	389	1	0.8	0.8	NUM
ejpam-6216	389	2	td−	td−	NUM
ejpam-6216	389	3	γ	γ	X
ejpam-6216	389	4	(	(	PUNCT
ejpam-6216	389	5	ξ3	ξ3	NOUN
ejpam-6216	389	6	)	)	PUNCT
ejpam-6216	389	7	=	=	NOUN
ejpam-6216	389	8	−	−	NOUN
ejpam-6216	389	9	0.2	0.2	NUM
ejpam-6216	389	10	+	+	CCONJ
ejpam-6216	389	11	(	(	PUNCT
ejpam-6216	389	12	−0.1	−0.1	X
ejpam-6216	389	13	)	)	PUNCT
ejpam-6216	390	1	+	+	CCONJ
ejpam-6216	390	2	(	(	PUNCT
ejpam-6216	390	3	−0.2	−0.2	PROPN
ejpam-6216	390	4	)	)	PUNCT
ejpam-6216	391	1	+	+	CCONJ
ejpam-6216	391	2	(	(	PUNCT
ejpam-6216	391	3	−0.4	−0.4	NUM
ejpam-6216	391	4	)	)	PUNCT
ejpam-6216	391	5	=	=	SYM
ejpam-6216	392	1	−0.9	−0.9	PROPN
ejpam-6216	392	2	a.	a.	PROPN
ejpam-6216	392	3	arif	arif	PROPN
ejpam-6216	392	4	et	et	PROPN
ejpam-6216	392	5	al	al	PROPN
ejpam-6216	392	6	.	.	PUNCT
ejpam-6216	392	7	/	/	SYM
ejpam-6216	392	8	eur	eur	PROPN
ejpam-6216	392	9	.	.	PUNCT
ejpam-6216	393	1	j.	j.	PROPN
ejpam-6216	393	2	pure	pure	PROPN
ejpam-6216	393	3	appl	appl	PROPN
ejpam-6216	393	4	.	.	PROPN
ejpam-6216	393	5	math	math	PROPN
ejpam-6216	393	6	,	,	PUNCT
ejpam-6216	393	7	18	18	NUM
ejpam-6216	393	8	(	(	PUNCT
ejpam-6216	393	9	4	4	NUM
ejpam-6216	393	10	)	)	PUNCT
ejpam-6216	393	11	(	(	PUNCT
ejpam-6216	393	12	2025	2025	NUM
ejpam-6216	393	13	)	)	PUNCT
ejpam-6216	393	14	,	,	PUNCT
ejpam-6216	393	15	6216	6216	NUM
ejpam-6216	393	16	22	22	NUM
ejpam-6216	393	17	of	of	ADP
ejpam-6216	393	18	36	36	NUM
ejpam-6216	393	19	ξ1	ξ1	NOUN
ejpam-6216	393	20	(	(	PUNCT
ejpam-6216	393	21	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	393	22	)	)	PUNCT
ejpam-6216	393	23	ξ2	ξ2	NOUN
ejpam-6216	393	24	(	(	PUNCT
ejpam-6216	393	25	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	393	26	)	)	PUNCT
ejpam-6216	393	27	ξ3	ξ3	NOUN
ejpam-6216	393	28	(	(	PUNCT
ejpam-6216	393	29	0.2,−0.2	0.2,−0.2	NOUN
ejpam-6216	393	30	)	)	PUNCT
ejpam-6216	393	31	ξ4	ξ4	NOUN
ejpam-6216	393	32	(	(	PUNCT
ejpam-6216	393	33	0.1,−0.1	0.1,−0.1	NOUN
ejpam-6216	393	34	)	)	PUNCT
ejpam-6216	393	35	(	(	PUNCT
ejpam-6216	393	36	0.1	0.1	NUM
ejpam-6216	393	37	,	,	PUNCT
ejpam-6216	393	38	-0.1	-0.1	PROPN
ejpam-6216	393	39	)	)	PUNCT
ejpam-6216	393	40	(	(	PUNCT
ejpam-6216	393	41	0.1	0.1	NUM
ejpam-6216	393	42	,	,	PUNCT
ejpam-6216	393	43	-0.1	-0.1	PROPN
ejpam-6216	393	44	)	)	PUNCT
ejpam-6216	393	45	(	(	PUNCT
ejpam-6216	393	46	0.1	0.1	NUM
ejpam-6216	393	47	,	,	PUNCT
ejpam-6216	393	48	-0.1	-0.1	PROPN
ejpam-6216	393	49	)	)	PUNCT
ejpam-6216	393	50	(	(	PUNCT
ejpam-6216	393	51	0.1	0.1	NUM
ejpam-6216	393	52	,	,	PUNCT
ejpam-6216	393	53	-0.1	-0.1	NOUN
ejpam-6216	393	54	)	)	PUNCT
ejpam-6216	393	55	γ	γ	NOUN
ejpam-6216	393	56	=	=	SYM
ejpam-6216	393	57	(	(	PUNCT
ejpam-6216	393	58	υw	υw	ADJ
ejpam-6216	393	59	,	,	PUNCT
ejpam-6216	393	60	lλ	lλ	NOUN
ejpam-6216	393	61	)	)	PUNCT
ejpam-6216	393	62	ξ1	ξ1	NOUN
ejpam-6216	393	63	(	(	PUNCT
ejpam-6216	393	64	0.3,−0.1	0.3,−0.1	NUM
ejpam-6216	393	65	)	)	PUNCT
ejpam-6216	393	66	ξ2	ξ2	NOUN
ejpam-6216	393	67	(	(	PUNCT
ejpam-6216	393	68	0.2,−0.3	0.2,−0.3	NUM
ejpam-6216	393	69	)	)	PUNCT
ejpam-6216	393	70	ξ3	ξ3	NOUN
ejpam-6216	393	71	(	(	PUNCT
ejpam-6216	393	72	0.3,−0.4	0.3,−0.4	NOUN
ejpam-6216	393	73	)	)	PUNCT
ejpam-6216	393	74	ξ4	ξ4	NOUN
ejpam-6216	393	75	(	(	PUNCT
ejpam-6216	393	76	0.4,−0.3	0.4,−0.3	NUM
ejpam-6216	393	77	)	)	PUNCT
ejpam-6216	393	78	(	(	PUNCT
ejpam-6216	393	79	0.1	0.1	NUM
ejpam-6216	393	80	,	,	PUNCT
ejpam-6216	393	81	-0.1	-0.1	PROPN
ejpam-6216	393	82	)	)	PUNCT
ejpam-6216	393	83	(	(	PUNCT
ejpam-6216	393	84	0.1	0.1	NUM
ejpam-6216	393	85	,	,	PUNCT
ejpam-6216	393	86	-0.2	-0.2	NOUN
ejpam-6216	393	87	)	)	PUNCT
ejpam-6216	393	88	(	(	PUNCT
ejpam-6216	393	89	0.2	0.2	NUM
ejpam-6216	393	90	,	,	PUNCT
ejpam-6216	393	91	-0.2	-0.2	NOUN
ejpam-6216	393	92	)	)	PUNCT
ejpam-6216	393	93	(	(	PUNCT
ejpam-6216	393	94	0.2	0.2	NUM
ejpam-6216	393	95	,	,	PUNCT
ejpam-6216	393	96	-0.1	-0.1	PROPN
ejpam-6216	393	97	)	)	PUNCT
ejpam-6216	393	98	γ	γ	NOUN
ejpam-6216	393	99	=	=	SYM
ejpam-6216	393	100	(	(	PUNCT
ejpam-6216	393	101	υw	υw	ADJ
ejpam-6216	393	102	,	,	PUNCT
ejpam-6216	393	103	lλ	lλ	NOUN
ejpam-6216	393	104	)	)	PUNCT
ejpam-6216	393	105	figure	figure	NOUN
ejpam-6216	393	106	8	8	NUM
ejpam-6216	393	107	:	:	PUNCT
ejpam-6216	393	108	γ	γ	X
ejpam-6216	393	109	=	=	SYM
ejpam-6216	393	110	(	(	PUNCT
ejpam-6216	393	111	γ	γ	X
ejpam-6216	393	112	,	,	PUNCT
ejpam-6216	393	113	γ	γ	NOUN
ejpam-6216	393	114	)	)	PUNCT
ejpam-6216	393	115	tdγ(ξ3	tdγ(ξ3	NOUN
ejpam-6216	393	116	)	)	PUNCT
ejpam-6216	393	117	=(	=(	NOUN
ejpam-6216	393	118	0.5	0.5	NUM
ejpam-6216	394	1	+	+	CCONJ
ejpam-6216	394	2	0.8,−0.5	0.8,−0.5	NUM
ejpam-6216	394	3	+	+	CCONJ
ejpam-6216	394	4	(	(	PUNCT
ejpam-6216	394	5	−0.9	−0.9	NOUN
ejpam-6216	394	6	)	)	PUNCT
ejpam-6216	394	7	)	)	PUNCT
ejpam-6216	395	1	=	=	PRON
ejpam-6216	395	2	(	(	PUNCT
ejpam-6216	395	3	1.3,−1.4	1.3,−1.4	NUM
ejpam-6216	395	4	)	)	PUNCT
ejpam-6216	395	5	definition	definition	NOUN
ejpam-6216	395	6	23	23	NUM
ejpam-6216	395	7	.	.	PUNCT
ejpam-6216	396	1	a	a	DET
ejpam-6216	396	2	bfrd	bfrd	NOUN
ejpam-6216	396	3	γ	γ	X
ejpam-6216	396	4	=	=	SYM
ejpam-6216	396	5	(	(	PUNCT
ejpam-6216	396	6	γ	γ	X
ejpam-6216	396	7	,	,	PUNCT
ejpam-6216	396	8	γ	γ	NOUN
ejpam-6216	396	9	)	)	PUNCT
ejpam-6216	396	10	is	be	AUX
ejpam-6216	396	11	said	say	VERB
ejpam-6216	396	12	to	to	PART
ejpam-6216	396	13	be	be	AUX
ejpam-6216	396	14	regular	regular	ADJ
ejpam-6216	396	15	if	if	SCONJ
ejpam-6216	396	16	dγ(ϵ0	dγ(ϵ0	ADJ
ejpam-6216	396	17	)	)	PUNCT
ejpam-6216	396	18	=	=	SYM
ejpam-6216	396	19	(	(	PUNCT
ejpam-6216	396	20	α	α	X
ejpam-6216	396	21	,	,	PUNCT
ejpam-6216	396	22	β	β	NOUN
ejpam-6216	396	23	)	)	PUNCT
ejpam-6216	397	1	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	397	2	∈	∈	PROPN
ejpam-6216	397	3	v	v	NOUN
ejpam-6216	397	4	,	,	PUNCT
ejpam-6216	397	5	where	where	SCONJ
ejpam-6216	397	6	α	α	X
ejpam-6216	397	7	,	,	PUNCT
ejpam-6216	397	8	β	β	X
ejpam-6216	397	9	are	be	AUX
ejpam-6216	397	10	real	real	ADJ
ejpam-6216	397	11	numbers	number	NOUN
ejpam-6216	397	12	.	.	PUNCT
ejpam-6216	398	1	definition	definition	NOUN
ejpam-6216	398	2	24	24	NUM
ejpam-6216	398	3	.	.	PUNCT
ejpam-6216	399	1	a	a	DET
ejpam-6216	399	2	bfrd	bfrd	NOUN
ejpam-6216	399	3	γ	γ	X
ejpam-6216	399	4	=	=	SYM
ejpam-6216	399	5	(	(	PUNCT
ejpam-6216	399	6	γ	γ	X
ejpam-6216	399	7	,	,	PUNCT
ejpam-6216	399	8	γ	γ	NOUN
ejpam-6216	399	9	)	)	PUNCT
ejpam-6216	399	10	is	be	AUX
ejpam-6216	399	11	said	say	VERB
ejpam-6216	399	12	to	to	PART
ejpam-6216	399	13	be	be	AUX
ejpam-6216	399	14	totally	totally	ADV
ejpam-6216	399	15	regular	regular	ADJ
ejpam-6216	399	16	if	if	SCONJ
ejpam-6216	399	17	tdγ(ϵ0	tdγ(ϵ0	NOUN
ejpam-6216	399	18	)	)	PUNCT
ejpam-6216	399	19	=	=	SYM
ejpam-6216	399	20	(	(	PUNCT
ejpam-6216	399	21	α	α	X
ejpam-6216	399	22	,	,	PUNCT
ejpam-6216	399	23	β	β	NOUN
ejpam-6216	399	24	)	)	PUNCT
ejpam-6216	399	25	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	399	26	∈	∈	PROPN
ejpam-6216	399	27	v	v	NOUN
ejpam-6216	399	28	,	,	PUNCT
ejpam-6216	399	29	where	where	SCONJ
ejpam-6216	399	30	α	α	X
ejpam-6216	399	31	,	,	PUNCT
ejpam-6216	399	32	β	β	X
ejpam-6216	399	33	are	be	AUX
ejpam-6216	399	34	real	real	ADJ
ejpam-6216	399	35	numbers	number	NOUN
ejpam-6216	399	36	.	.	PUNCT
ejpam-6216	400	1	example	example	NOUN
ejpam-6216	400	2	8	8	NUM
ejpam-6216	400	3	.	.	PUNCT
ejpam-6216	401	1	let	let	VERB
ejpam-6216	401	2	γ	γ	X
ejpam-6216	401	3	=	=	SYM
ejpam-6216	401	4	(	(	PUNCT
ejpam-6216	401	5	γ	γ	X
ejpam-6216	401	6	,	,	PUNCT
ejpam-6216	401	7	γ	γ	NOUN
ejpam-6216	401	8	)	)	PUNCT
ejpam-6216	401	9	be	be	VERB
ejpam-6216	401	10	a	a	DET
ejpam-6216	401	11	bfrd	bfrd	NOUN
ejpam-6216	401	12	on	on	ADP
ejpam-6216	401	13	universal	universal	ADJ
ejpam-6216	401	14	set	set	NOUN
ejpam-6216	401	15	x	x	X
ejpam-6216	401	16	=	=	PRON
ejpam-6216	401	17	{	{	PUNCT
ejpam-6216	401	18	ξ1	ξ1	NOUN
ejpam-6216	401	19	,	,	PUNCT
ejpam-6216	401	20	ξ2	ξ2	ADJ
ejpam-6216	401	21	,	,	PUNCT
ejpam-6216	401	22	ξ3	ξ3	NOUN
ejpam-6216	401	23	,	,	PUNCT
ejpam-6216	401	24	ξ4	ξ4	NOUN
ejpam-6216	401	25	}	}	PUNCT
ejpam-6216	401	26	defined	define	VERB
ejpam-6216	401	27	in	in	ADP
ejpam-6216	401	28	figure	figure	NOUN
ejpam-6216	401	29	9	9	NUM
ejpam-6216	401	30	:	:	PUNCT
ejpam-6216	401	31	notice	notice	VERB
ejpam-6216	401	32	that	that	SCONJ
ejpam-6216	401	33	the	the	DET
ejpam-6216	401	34	graph	graph	NOUN
ejpam-6216	401	35	γ	γ	PROPN
ejpam-6216	401	36	is	be	AUX
ejpam-6216	401	37	both	both	CCONJ
ejpam-6216	401	38	regular	regular	ADJ
ejpam-6216	401	39	and	and	CCONJ
ejpam-6216	401	40	totally	totally	ADV
ejpam-6216	401	41	regular	regular	ADJ
ejpam-6216	401	42	bipolar	bipolar	ADJ
ejpam-6216	401	43	fuzzy	fuzzy	ADJ
ejpam-6216	401	44	rough	rough	ADJ
ejpam-6216	401	45	digraph	digraph	NOUN
ejpam-6216	401	46	.	.	PUNCT
ejpam-6216	402	1	ξ1	ξ1	NOUN
ejpam-6216	402	2	(	(	PUNCT
ejpam-6216	402	3	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	402	4	)	)	PUNCT
ejpam-6216	402	5	ξ2	ξ2	NOUN
ejpam-6216	402	6	(	(	PUNCT
ejpam-6216	402	7	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	402	8	)	)	PUNCT
ejpam-6216	402	9	ξ3	ξ3	NOUN
ejpam-6216	402	10	(	(	PUNCT
ejpam-6216	402	11	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	402	12	)	)	PUNCT
ejpam-6216	402	13	ξ4(0.1,−0.2	ξ4(0.1,−0.2	NOUN
ejpam-6216	402	14	)	)	PUNCT
ejpam-6216	402	15	(	(	PUNCT
ejpam-6216	402	16	0.1	0.1	NUM
ejpam-6216	402	17	,	,	PUNCT
ejpam-6216	402	18	-0.1	-0.1	PROPN
ejpam-6216	402	19	)	)	PUNCT
ejpam-6216	402	20	(	(	PUNCT
ejpam-6216	402	21	0.2	0.2	NUM
ejpam-6216	402	22	,	,	PUNCT
ejpam-6216	402	23	-0.1	-0.1	PROPN
ejpam-6216	402	24	)	)	PUNCT
ejpam-6216	402	25	(	(	PUNCT
ejpam-6216	402	26	0.1	0.1	NUM
ejpam-6216	402	27	,	,	PUNCT
ejpam-6216	402	28	-0.1	-0.1	PROPN
ejpam-6216	402	29	)	)	PUNCT
ejpam-6216	402	30	(	(	PUNCT
ejpam-6216	402	31	0.2	0.2	NUM
ejpam-6216	402	32	,	,	PUNCT
ejpam-6216	402	33	-0.1	-0.1	NOUN
ejpam-6216	402	34	)	)	PUNCT
ejpam-6216	402	35	γ1	γ1	NOUN
ejpam-6216	402	36	=	=	SYM
ejpam-6216	402	37	(	(	PUNCT
ejpam-6216	402	38	υw1	υw1	PROPN
ejpam-6216	402	39	,	,	PUNCT
ejpam-6216	402	40	lλ1	lλ1	NOUN
ejpam-6216	402	41	)	)	PUNCT
ejpam-6216	402	42	ξ1	ξ1	NOUN
ejpam-6216	402	43	(	(	PUNCT
ejpam-6216	402	44	0.4,−0.6	0.4,−0.6	NOUN
ejpam-6216	402	45	)	)	PUNCT
ejpam-6216	402	46	ξ2	ξ2	NOUN
ejpam-6216	402	47	(	(	PUNCT
ejpam-6216	402	48	0.4,−0.6	0.4,−0.6	NOUN
ejpam-6216	402	49	)	)	PUNCT
ejpam-6216	402	50	ξ3	ξ3	NOUN
ejpam-6216	402	51	(	(	PUNCT
ejpam-6216	402	52	0.4,−0.6)ξ4	0.4,−0.6)ξ4	X
ejpam-6216	402	53	(	(	PUNCT
ejpam-6216	402	54	0.4,−0.6	0.4,−0.6	NOUN
ejpam-6216	402	55	)	)	PUNCT
ejpam-6216	402	56	(	(	PUNCT
ejpam-6216	402	57	0.3	0.3	NUM
ejpam-6216	402	58	,	,	PUNCT
ejpam-6216	402	59	-0.3	-0.3	NUM
ejpam-6216	402	60	)	)	PUNCT
ejpam-6216	402	61	(	(	PUNCT
ejpam-6216	402	62	0.3	0.3	NUM
ejpam-6216	402	63	,	,	PUNCT
ejpam-6216	402	64	-0.1	-0.1	PROPN
ejpam-6216	402	65	)	)	PUNCT
ejpam-6216	402	66	(	(	PUNCT
ejpam-6216	402	67	0.3	0.3	NUM
ejpam-6216	402	68	,	,	PUNCT
ejpam-6216	402	69	-0.3	-0.3	NUM
ejpam-6216	402	70	)	)	PUNCT
ejpam-6216	402	71	(	(	PUNCT
ejpam-6216	402	72	0.3	0.3	NUM
ejpam-6216	402	73	,	,	PUNCT
ejpam-6216	402	74	-0.1	-0.1	NOUN
ejpam-6216	402	75	)	)	PUNCT
ejpam-6216	402	76	γ1	γ1	NOUN
ejpam-6216	402	77	=	=	SYM
ejpam-6216	402	78	(	(	PUNCT
ejpam-6216	402	79	υw1	υw1	PROPN
ejpam-6216	402	80	,	,	PUNCT
ejpam-6216	402	81	lλ1	lλ1	NOUN
ejpam-6216	402	82	)	)	PUNCT
ejpam-6216	402	83	figure	figure	NOUN
ejpam-6216	402	84	9	9	NUM
ejpam-6216	402	85	:	:	PUNCT
ejpam-6216	402	86	γ	γ	X
ejpam-6216	402	87	=	=	SYM
ejpam-6216	402	88	(	(	PUNCT
ejpam-6216	402	89	γ	γ	X
ejpam-6216	402	90	,	,	PUNCT
ejpam-6216	402	91	γ	γ	NOUN
ejpam-6216	402	92	)	)	PUNCT
ejpam-6216	402	93	a.	a.	PROPN
ejpam-6216	402	94	arif	arif	PROPN
ejpam-6216	402	95	et	et	PROPN
ejpam-6216	402	96	al	al	PROPN
ejpam-6216	402	97	.	.	PUNCT
ejpam-6216	402	98	/	/	SYM
ejpam-6216	402	99	eur	eur	PROPN
ejpam-6216	402	100	.	.	PUNCT
ejpam-6216	403	1	j.	j.	PROPN
ejpam-6216	403	2	pure	pure	PROPN
ejpam-6216	403	3	appl	appl	PROPN
ejpam-6216	403	4	.	.	PROPN
ejpam-6216	403	5	math	math	PROPN
ejpam-6216	403	6	,	,	PUNCT
ejpam-6216	403	7	18	18	NUM
ejpam-6216	403	8	(	(	PUNCT
ejpam-6216	403	9	4	4	NUM
ejpam-6216	403	10	)	)	PUNCT
ejpam-6216	403	11	(	(	PUNCT
ejpam-6216	403	12	2025	2025	NUM
ejpam-6216	403	13	)	)	PUNCT
ejpam-6216	403	14	,	,	PUNCT
ejpam-6216	403	15	6216	6216	NUM
ejpam-6216	403	16	23	23	NUM
ejpam-6216	403	17	of	of	ADP
ejpam-6216	403	18	36	36	NUM
ejpam-6216	403	19	theorem	theorem	NOUN
ejpam-6216	403	20	3	3	X
ejpam-6216	403	21	.	.	PUNCT
ejpam-6216	404	1	let	let	VERB
ejpam-6216	404	2	γ	γ	X
ejpam-6216	404	3	=	=	SYM
ejpam-6216	404	4	(	(	PUNCT
ejpam-6216	404	5	γ	γ	X
ejpam-6216	404	6	,	,	PUNCT
ejpam-6216	404	7	γ	γ	NOUN
ejpam-6216	404	8	)	)	PUNCT
ejpam-6216	404	9	be	be	VERB
ejpam-6216	404	10	a	a	DET
ejpam-6216	404	11	bipolar	bipolar	ADJ
ejpam-6216	404	12	fuzzy	fuzzy	ADJ
ejpam-6216	404	13	rough	rough	ADJ
ejpam-6216	404	14	digraphs	digraph	NOUN
ejpam-6216	404	15	and	and	CCONJ
ejpam-6216	404	16	υw	υw	NOUN
ejpam-6216	404	17	=	=	SYM
ejpam-6216	404	18	(	(	PUNCT
ejpam-6216	404	19	υw+,υw−	υw+,υw−	PROPN
ejpam-6216	404	20	)	)	PUNCT
ejpam-6216	404	21	be	be	AUX
ejpam-6216	404	22	a	a	DET
ejpam-6216	404	23	constant	constant	ADJ
ejpam-6216	404	24	function	function	NOUN
ejpam-6216	404	25	in	in	ADP
ejpam-6216	404	26	γ	γ	NOUN
ejpam-6216	404	27	and	and	CCONJ
ejpam-6216	404	28	γ	γ	PROPN
ejpam-6216	404	29	then	then	ADV
ejpam-6216	404	30	γ	γ	PROPN
ejpam-6216	404	31	is	be	AUX
ejpam-6216	404	32	regular	regular	ADJ
ejpam-6216	404	33	iff	iff	NOUN
ejpam-6216	404	34	it	it	PRON
ejpam-6216	404	35	is	be	AUX
ejpam-6216	404	36	totally	totally	ADV
ejpam-6216	404	37	regular	regular	ADJ
ejpam-6216	404	38	bipolar	bipolar	ADJ
ejpam-6216	404	39	fuzzy	fuzzy	ADJ
ejpam-6216	404	40	rough	rough	ADJ
ejpam-6216	404	41	digraph	digraph	NOUN
ejpam-6216	404	42	.	.	PUNCT
ejpam-6216	405	1	proof	proof	NOUN
ejpam-6216	405	2	.	.	PUNCT
ejpam-6216	406	1	let	let	VERB
ejpam-6216	406	2	υw	υw	VERB
ejpam-6216	406	3	=	=	PUNCT
ejpam-6216	406	4	(	(	PUNCT
ejpam-6216	406	5	υw+,υw−	υw+,υw−	PROPN
ejpam-6216	406	6	)	)	PUNCT
ejpam-6216	406	7	be	be	AUX
ejpam-6216	406	8	a	a	DET
ejpam-6216	406	9	constant	constant	ADJ
ejpam-6216	406	10	function	function	NOUN
ejpam-6216	406	11	such	such	ADJ
ejpam-6216	406	12	that	that	SCONJ
ejpam-6216	406	13	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	406	14	)	)	PUNCT
ejpam-6216	406	15	=	=	SYM
ejpam-6216	406	16	ρ1	ρ1	NOUN
ejpam-6216	406	17	and	and	CCONJ
ejpam-6216	406	18	υw−(ϵ0	υw−(ϵ0	ADJ
ejpam-6216	406	19	)	)	PUNCT
ejpam-6216	406	20	=	=	SYM
ejpam-6216	406	21	ρ2	ρ2	NOUN
ejpam-6216	406	22	,	,	PUNCT
ejpam-6216	406	23	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	406	24	∈	∈	PROPN
ejpam-6216	407	1	v.	v.	CCONJ
ejpam-6216	407	2	consider	consider	VERB
ejpam-6216	407	3	γ	γ	NOUN
ejpam-6216	407	4	be	be	AUX
ejpam-6216	407	5	a	a	DET
ejpam-6216	407	6	regular	regular	ADJ
ejpam-6216	407	7	bipolar	bipolar	ADJ
ejpam-6216	407	8	fuzzy	fuzzy	ADJ
ejpam-6216	407	9	rough	rough	ADJ
ejpam-6216	407	10	digraph	digraph	NOUN
ejpam-6216	407	11	then	then	ADV
ejpam-6216	407	12	:	:	PUNCT
ejpam-6216	407	13	d+γ	d+γ	NOUN
ejpam-6216	407	14	(	(	PUNCT
ejpam-6216	407	15	ϵ0	ϵ0	NUM
ejpam-6216	407	16	)	)	PUNCT
ejpam-6216	407	17	=	=	SYM
ejpam-6216	407	18	α	α	PROPN
ejpam-6216	407	19	,	,	PUNCT
ejpam-6216	407	20	d−γ	d−γ	VERB
ejpam-6216	407	21	(	(	PUNCT
ejpam-6216	407	22	ϵ0	ϵ0	NUM
ejpam-6216	407	23	)	)	PUNCT
ejpam-6216	407	24	=	=	PUNCT
ejpam-6216	407	25	β	β	X
ejpam-6216	407	26	∀ϵ0	∀ϵ0	PUNCT
ejpam-6216	407	27	∈	∈	PROPN
ejpam-6216	407	28	v	v	ADP
ejpam-6216	407	29	td+γ	td+γ	PROPN
ejpam-6216	407	30	(	(	PUNCT
ejpam-6216	407	31	ϵ0	ϵ0	NUM
ejpam-6216	407	32	)	)	PUNCT
ejpam-6216	408	1	=	=	NOUN
ejpam-6216	408	2	d+γ	d+γ	X
ejpam-6216	408	3	(	(	PUNCT
ejpam-6216	408	4	ϵ0	ϵ0	NUM
ejpam-6216	408	5	)	)	PUNCT
ejpam-6216	408	6	+	+	CCONJ
ejpam-6216	408	7	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	408	8	)	)	PUNCT
ejpam-6216	408	9	,	,	PUNCT
ejpam-6216	408	10	td−γ	td−γ	PROPN
ejpam-6216	408	11	(	(	PUNCT
ejpam-6216	408	12	ϵ0	ϵ0	NUM
ejpam-6216	408	13	)	)	PUNCT
ejpam-6216	408	14	=	=	PUNCT
ejpam-6216	409	1	d−γ	d−γ	VERB
ejpam-6216	409	2	(	(	PUNCT
ejpam-6216	409	3	ϵ0	ϵ0	NUM
ejpam-6216	409	4	)	)	PUNCT
ejpam-6216	409	5	+	+	CCONJ
ejpam-6216	409	6	υw−(ϵ0	υw−(ϵ0	NOUN
ejpam-6216	409	7	)	)	PUNCT
ejpam-6216	410	1	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	410	2	∈	∈	PROPN
ejpam-6216	410	3	v	v	NOUN
ejpam-6216	410	4	=	=	NOUN
ejpam-6216	410	5	⇒	⇒	ADJ
ejpam-6216	410	6	td+γ	td+γ	PROPN
ejpam-6216	410	7	(	(	PUNCT
ejpam-6216	410	8	ϵ0	ϵ0	NUM
ejpam-6216	410	9	)	)	PUNCT
ejpam-6216	411	1	=	=	NOUN
ejpam-6216	411	2	α+	α+	NOUN
ejpam-6216	411	3	ρ1	ρ1	NOUN
ejpam-6216	411	4	,	,	PUNCT
ejpam-6216	411	5	td−γ	td−γ	PROPN
ejpam-6216	411	6	(	(	PUNCT
ejpam-6216	411	7	ϵ0	ϵ0	NUM
ejpam-6216	411	8	)	)	PUNCT
ejpam-6216	411	9	=	=	PUNCT
ejpam-6216	412	1	β	β	X
ejpam-6216	412	2	+	+	CCONJ
ejpam-6216	412	3	ρ2	ρ2	NOUN
ejpam-6216	412	4	∀ϵ0	∀ϵ0	SYM
ejpam-6216	412	5	∈	∈	PROPN
ejpam-6216	412	6	v	v	NOUN
ejpam-6216	412	7	hence	hence	ADV
ejpam-6216	412	8	γ	γ	PROPN
ejpam-6216	412	9	is	be	AUX
ejpam-6216	412	10	a	a	DET
ejpam-6216	412	11	totally	totally	ADV
ejpam-6216	412	12	regular	regular	ADJ
ejpam-6216	412	13	bipolar	bipolar	ADJ
ejpam-6216	412	14	fuzzy	fuzzy	ADJ
ejpam-6216	412	15	rough	rough	ADJ
ejpam-6216	412	16	digraph	digraph	NOUN
ejpam-6216	412	17	.	.	PUNCT
ejpam-6216	413	1	conversely	conversely	ADV
ejpam-6216	413	2	,	,	PUNCT
ejpam-6216	413	3	suppose	suppose	VERB
ejpam-6216	413	4	that	that	SCONJ
ejpam-6216	413	5	γ	γ	PROPN
ejpam-6216	413	6	is	be	AUX
ejpam-6216	413	7	a	a	DET
ejpam-6216	413	8	totally	totally	ADV
ejpam-6216	413	9	regular	regular	ADJ
ejpam-6216	413	10	bipolar	bipolar	ADJ
ejpam-6216	413	11	fuzzy	fuzzy	ADJ
ejpam-6216	413	12	rough	rough	ADJ
ejpam-6216	413	13	digraph	digraph	NOUN
ejpam-6216	413	14	such	such	ADJ
ejpam-6216	413	15	that	that	SCONJ
ejpam-6216	413	16	:	:	PUNCT
ejpam-6216	413	17	td+γ	td+γ	PROPN
ejpam-6216	413	18	(	(	PUNCT
ejpam-6216	413	19	ϵ0	ϵ0	NUM
ejpam-6216	413	20	)	)	PUNCT
ejpam-6216	413	21	=	=	SYM
ejpam-6216	413	22	µ1	µ1	ADJ
ejpam-6216	413	23	,	,	PUNCT
ejpam-6216	413	24	td−γ	td−γ	VERB
ejpam-6216	413	25	(	(	PUNCT
ejpam-6216	413	26	ϵ0	ϵ0	NUM
ejpam-6216	413	27	)	)	PUNCT
ejpam-6216	413	28	=	=	VERB
ejpam-6216	414	1	µ2	µ2	PROPN
ejpam-6216	414	2	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	414	3	∈	∈	PROPN
ejpam-6216	414	4	v	v	NOUN
ejpam-6216	414	5	=	=	NOUN
ejpam-6216	414	6	⇒	⇒	X
ejpam-6216	414	7	d+γ	d+γ	X
ejpam-6216	414	8	(	(	PUNCT
ejpam-6216	414	9	ϵ0	ϵ0	NUM
ejpam-6216	414	10	)	)	PUNCT
ejpam-6216	414	11	+	+	CCONJ
ejpam-6216	414	12	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	414	13	)	)	PUNCT
ejpam-6216	414	14	=	=	SYM
ejpam-6216	414	15	µ1	µ1	PROPN
ejpam-6216	414	16	,	,	PUNCT
ejpam-6216	414	17	d−γ	d−γ	VERB
ejpam-6216	414	18	(	(	PUNCT
ejpam-6216	414	19	ϵ0	ϵ0	NUM
ejpam-6216	414	20	)	)	PUNCT
ejpam-6216	414	21	+	+	CCONJ
ejpam-6216	414	22	υw−(ϵ0	υw−(ϵ0	ADJ
ejpam-6216	414	23	)	)	PUNCT
ejpam-6216	415	1	=	=	VERB
ejpam-6216	415	2	µ2	µ2	PROPN
ejpam-6216	415	3	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	415	4	∈	∈	PROPN
ejpam-6216	415	5	v	v	NOUN
ejpam-6216	415	6	=	=	NOUN
ejpam-6216	415	7	⇒	⇒	X
ejpam-6216	415	8	d+γ	d+γ	X
ejpam-6216	415	9	(	(	PUNCT
ejpam-6216	415	10	ϵ0	ϵ0	NUM
ejpam-6216	415	11	)	)	PUNCT
ejpam-6216	415	12	+	+	NUM
ejpam-6216	415	13	ρ1	ρ1	NOUN
ejpam-6216	415	14	=	=	SYM
ejpam-6216	415	15	µ1	µ1	PROPN
ejpam-6216	415	16	,	,	PUNCT
ejpam-6216	415	17	d−γ	d−γ	VERB
ejpam-6216	415	18	(	(	PUNCT
ejpam-6216	415	19	ϵ0	ϵ0	NUM
ejpam-6216	415	20	)	)	PUNCT
ejpam-6216	415	21	+	+	CCONJ
ejpam-6216	415	22	ρ2	ρ2	NOUN
ejpam-6216	415	23	=	=	SYM
ejpam-6216	415	24	µ2	µ2	PROPN
ejpam-6216	415	25	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	415	26	∈	∈	PROPN
ejpam-6216	415	27	v	v	NOUN
ejpam-6216	415	28	=	=	NOUN
ejpam-6216	415	29	⇒	⇒	X
ejpam-6216	415	30	d+γ	d+γ	X
ejpam-6216	415	31	(	(	PUNCT
ejpam-6216	415	32	ϵ0	ϵ0	NUM
ejpam-6216	415	33	)	)	PUNCT
ejpam-6216	415	34	=	=	PUNCT
ejpam-6216	415	35	µ1	µ1	PROPN
ejpam-6216	415	36	−	−	PROPN
ejpam-6216	415	37	ρ1	ρ1	NOUN
ejpam-6216	415	38	,	,	PUNCT
ejpam-6216	415	39	d−γ	d−γ	VERB
ejpam-6216	415	40	(	(	PUNCT
ejpam-6216	415	41	ϵ0	ϵ0	NUM
ejpam-6216	415	42	)	)	PUNCT
ejpam-6216	415	43	=	=	VERB
ejpam-6216	416	1	µ2	µ2	PROPN
ejpam-6216	416	2	−	−	PROPN
ejpam-6216	416	3	ρ2	ρ2	NOUN
ejpam-6216	416	4	∀ϵ0	∀ϵ0	SYM
ejpam-6216	416	5	∈	∈	PROPN
ejpam-6216	416	6	v	v	NOUN
ejpam-6216	416	7	hence	hence	ADV
ejpam-6216	416	8	γ	γ	PROPN
ejpam-6216	416	9	is	be	AUX
ejpam-6216	416	10	a	a	DET
ejpam-6216	416	11	regular	regular	ADJ
ejpam-6216	416	12	bipolar	bipolar	ADJ
ejpam-6216	416	13	fuzzy	fuzzy	ADJ
ejpam-6216	416	14	rough	rough	ADJ
ejpam-6216	416	15	digraph	digraph	NOUN
ejpam-6216	416	16	.	.	PUNCT
ejpam-6216	417	1	theorem	theorem	NOUN
ejpam-6216	417	2	4	4	NUM
ejpam-6216	417	3	.	.	PUNCT
ejpam-6216	418	1	let	let	VERB
ejpam-6216	418	2	γ	γ	X
ejpam-6216	418	3	=	=	SYM
ejpam-6216	418	4	(	(	PUNCT
ejpam-6216	418	5	γ	γ	X
ejpam-6216	418	6	,	,	PUNCT
ejpam-6216	418	7	γ	γ	NOUN
ejpam-6216	418	8	)	)	PUNCT
ejpam-6216	418	9	be	be	VERB
ejpam-6216	418	10	a	a	DET
ejpam-6216	418	11	regular	regular	ADJ
ejpam-6216	418	12	as	as	ADV
ejpam-6216	418	13	well	well	ADV
ejpam-6216	418	14	as	as	ADP
ejpam-6216	418	15	totally	totally	ADV
ejpam-6216	418	16	regular	regular	ADJ
ejpam-6216	418	17	bipolar	bipolar	ADJ
ejpam-6216	418	18	fuzzy	fuzzy	ADJ
ejpam-6216	418	19	rough	rough	ADJ
ejpam-6216	418	20	digraph	digraph	NOUN
ejpam-6216	418	21	then	then	ADV
ejpam-6216	418	22	υw	υw	NOUN
ejpam-6216	418	23	=	=	SYM
ejpam-6216	418	24	(	(	PUNCT
ejpam-6216	418	25	υw+,υw−	υw+,υw−	PROPN
ejpam-6216	418	26	)	)	PUNCT
ejpam-6216	418	27	is	be	AUX
ejpam-6216	418	28	a	a	DET
ejpam-6216	418	29	constant	constant	ADJ
ejpam-6216	418	30	function	function	NOUN
ejpam-6216	418	31	in	in	ADP
ejpam-6216	418	32	γ	γ	PROPN
ejpam-6216	418	33	and	and	CCONJ
ejpam-6216	418	34	γ	γ	PROPN
ejpam-6216	418	35	.	.	PROPN
ejpam-6216	418	36	proof	proof	NOUN
ejpam-6216	418	37	.	.	PUNCT
ejpam-6216	419	1	let	let	VERB
ejpam-6216	419	2	γ	γ	X
ejpam-6216	419	3	=	=	SYM
ejpam-6216	419	4	(	(	PUNCT
ejpam-6216	419	5	γ	γ	X
ejpam-6216	419	6	,	,	PUNCT
ejpam-6216	419	7	γ	γ	NOUN
ejpam-6216	419	8	)	)	PUNCT
ejpam-6216	419	9	be	be	VERB
ejpam-6216	419	10	a	a	DET
ejpam-6216	419	11	regular	regular	ADJ
ejpam-6216	419	12	and	and	CCONJ
ejpam-6216	419	13	totally	totally	ADV
ejpam-6216	419	14	regular	regular	ADJ
ejpam-6216	419	15	bipolar	bipolar	ADJ
ejpam-6216	419	16	fuzzy	fuzzy	ADJ
ejpam-6216	419	17	rough	rough	ADJ
ejpam-6216	419	18	digraph	digraph	NOUN
ejpam-6216	419	19	such	such	ADJ
ejpam-6216	419	20	that	that	PRON
ejpam-6216	419	21	:	:	PUNCT
ejpam-6216	419	22	d+γ	d+γ	X
ejpam-6216	419	23	(	(	PUNCT
ejpam-6216	419	24	ϵ0	ϵ0	NUM
ejpam-6216	419	25	)	)	PUNCT
ejpam-6216	419	26	=	=	NOUN
ejpam-6216	419	27	α	α	PROPN
ejpam-6216	419	28	,	,	PUNCT
ejpam-6216	419	29	d−γ	d−γ	VERB
ejpam-6216	419	30	(	(	PUNCT
ejpam-6216	419	31	ϵ0	ϵ0	NUM
ejpam-6216	419	32	)	)	PUNCT
ejpam-6216	419	33	=	=	PUNCT
ejpam-6216	419	34	β	β	X
ejpam-6216	419	35	∀ϵ0	∀ϵ0	PUNCT
ejpam-6216	419	36	∈	∈	PROPN
ejpam-6216	419	37	v	v	ADP
ejpam-6216	419	38	td+γ	td+γ	PROPN
ejpam-6216	419	39	(	(	PUNCT
ejpam-6216	419	40	ϵ0	ϵ0	NUM
ejpam-6216	419	41	)	)	PUNCT
ejpam-6216	419	42	=	=	SYM
ejpam-6216	419	43	µ1	µ1	ADJ
ejpam-6216	419	44	,	,	PUNCT
ejpam-6216	419	45	td−γ	td−γ	VERB
ejpam-6216	419	46	(	(	PUNCT
ejpam-6216	419	47	ϵ0	ϵ0	NUM
ejpam-6216	419	48	)	)	PUNCT
ejpam-6216	419	49	=	=	VERB
ejpam-6216	420	1	µ2	µ2	PROPN
ejpam-6216	420	2	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	420	3	∈	∈	PROPN
ejpam-6216	420	4	v	v	NOUN
ejpam-6216	420	5	=	=	NOUN
ejpam-6216	420	6	⇒	⇒	X
ejpam-6216	420	7	d+γ	d+γ	X
ejpam-6216	420	8	(	(	PUNCT
ejpam-6216	420	9	ϵ0	ϵ0	NUM
ejpam-6216	420	10	)	)	PUNCT
ejpam-6216	420	11	+	+	CCONJ
ejpam-6216	420	12	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	420	13	)	)	PUNCT
ejpam-6216	420	14	=	=	SYM
ejpam-6216	420	15	µ1	µ1	PROPN
ejpam-6216	420	16	,	,	PUNCT
ejpam-6216	420	17	d−γ	d−γ	VERB
ejpam-6216	420	18	(	(	PUNCT
ejpam-6216	420	19	ϵ0	ϵ0	NUM
ejpam-6216	420	20	)	)	PUNCT
ejpam-6216	420	21	+	+	CCONJ
ejpam-6216	420	22	υw−(ϵ0	υw−(ϵ0	ADJ
ejpam-6216	420	23	)	)	PUNCT
ejpam-6216	421	1	=	=	VERB
ejpam-6216	422	1	µ2	µ2	PROPN
ejpam-6216	422	2	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	422	3	∈	∈	PROPN
ejpam-6216	422	4	v	v	NOUN
ejpam-6216	422	5	=	=	NOUN
ejpam-6216	422	6	⇒	⇒	NOUN
ejpam-6216	422	7	α+υw+(ϵ0	α+υw+(ϵ0	NUM
ejpam-6216	422	8	)	)	PUNCT
ejpam-6216	422	9	=	=	SYM
ejpam-6216	422	10	µ1	µ1	PROPN
ejpam-6216	422	11	,	,	PUNCT
ejpam-6216	422	12	β	β	X
ejpam-6216	422	13	+	+	ADJ
ejpam-6216	422	14	υw−(ϵ0	υw−(ϵ0	NOUN
ejpam-6216	422	15	)	)	PUNCT
ejpam-6216	423	1	=	=	VERB
ejpam-6216	423	2	µ2	µ2	PROPN
ejpam-6216	423	3	∀ϵ0	∀ϵ0	PROPN
ejpam-6216	423	4	∈	∈	PROPN
ejpam-6216	423	5	v	v	NOUN
ejpam-6216	423	6	=	=	NOUN
ejpam-6216	423	7	⇒	⇒	NOUN
ejpam-6216	423	8	υw+(ϵ0	υw+(ϵ0	PROPN
ejpam-6216	423	9	)	)	PUNCT
ejpam-6216	423	10	=	=	PUNCT
ejpam-6216	423	11	µ1	µ1	PROPN
ejpam-6216	423	12	−	−	NOUN
ejpam-6216	423	13	α	α	NOUN
ejpam-6216	423	14	,	,	PUNCT
ejpam-6216	423	15	υw−(ϵ0	υw−(ϵ0	NOUN
ejpam-6216	423	16	)	)	PUNCT
ejpam-6216	423	17	=	=	VERB
ejpam-6216	424	1	µ2	µ2	NOUN
ejpam-6216	424	2	−	−	PROPN
ejpam-6216	424	3	β	β	NOUN
ejpam-6216	424	4	∀ϵ0	∀ϵ0	SYM
ejpam-6216	424	5	∈	∈	PROPN
ejpam-6216	424	6	v	v	ADP
ejpam-6216	424	7	hence	hence	ADV
ejpam-6216	424	8	υw	υw	NOUN
ejpam-6216	424	9	=	=	PUNCT
ejpam-6216	424	10	(	(	PUNCT
ejpam-6216	424	11	υw+,υw−	υw+,υw−	PROPN
ejpam-6216	424	12	)	)	PUNCT
ejpam-6216	424	13	is	be	AUX
ejpam-6216	424	14	a	a	DET
ejpam-6216	424	15	constant	constant	ADJ
ejpam-6216	424	16	function	function	NOUN
ejpam-6216	424	17	.	.	PUNCT
ejpam-6216	425	1	4	4	X
ejpam-6216	425	2	.	.	X
ejpam-6216	425	3	applications	application	NOUN
ejpam-6216	425	4	4.1	4.1	NUM
ejpam-6216	425	5	.	.	PUNCT
ejpam-6216	426	1	selecting	select	VERB
ejpam-6216	426	2	a	a	DET
ejpam-6216	426	3	minimum	minimum	ADJ
ejpam-6216	426	4	set	set	NOUN
ejpam-6216	426	5	of	of	ADP
ejpam-6216	426	6	rural	rural	ADJ
ejpam-6216	426	7	areas	area	NOUN
ejpam-6216	426	8	to	to	PART
ejpam-6216	426	9	set	set	VERB
ejpam-6216	426	10	up	up	ADP
ejpam-6216	426	11	medicine	medicine	NOUN
ejpam-6216	426	12	market	market	NOUN
ejpam-6216	426	13	rural	rural	ADJ
ejpam-6216	426	14	areas	area	NOUN
ejpam-6216	426	15	often	often	ADV
ejpam-6216	426	16	face	face	VERB
ejpam-6216	426	17	greater	great	ADJ
ejpam-6216	426	18	challenges	challenge	NOUN
ejpam-6216	426	19	in	in	ADP
ejpam-6216	426	20	accessing	access	VERB
ejpam-6216	426	21	medical	medical	ADJ
ejpam-6216	426	22	facilities	facility	NOUN
ejpam-6216	426	23	due	due	ADP
ejpam-6216	426	24	to	to	ADP
ejpam-6216	426	25	a	a	DET
ejpam-6216	426	26	combination	combination	NOUN
ejpam-6216	426	27	of	of	ADP
ejpam-6216	426	28	geographical	geographical	ADJ
ejpam-6216	426	29	,	,	PUNCT
ejpam-6216	426	30	infrastructural	infrastructural	ADJ
ejpam-6216	426	31	,	,	PUNCT
ejpam-6216	426	32	economic	economic	ADJ
ejpam-6216	426	33	,	,	PUNCT
ejpam-6216	426	34	and	and	CCONJ
ejpam-6216	426	35	demographic	demographic	ADJ
ejpam-6216	426	36	factors	factor	NOUN
ejpam-6216	426	37	.	.	PUNCT
ejpam-6216	427	1	as	as	ADP
ejpam-6216	427	2	a	a	DET
ejpam-6216	427	3	result	result	NOUN
ejpam-6216	427	4	,	,	PUNCT
ejpam-6216	427	5	residents	resident	NOUN
ejpam-6216	427	6	in	in	ADP
ejpam-6216	427	7	rural	rural	ADJ
ejpam-6216	427	8	areas	area	NOUN
ejpam-6216	427	9	may	may	AUX
ejpam-6216	427	10	experience	experience	VERB
ejpam-6216	427	11	difficulties	difficulty	NOUN
ejpam-6216	427	12	in	in	ADP
ejpam-6216	427	13	obtaining	obtain	VERB
ejpam-6216	427	14	essential	essential	ADJ
ejpam-6216	427	15	medications	medication	NOUN
ejpam-6216	427	16	a.	a.	NOUN
ejpam-6216	427	17	arif	arif	PROPN
ejpam-6216	427	18	et	et	PROPN
ejpam-6216	427	19	al	al	PROPN
ejpam-6216	427	20	.	.	PUNCT
ejpam-6216	427	21	/	/	SYM
ejpam-6216	427	22	eur	eur	PROPN
ejpam-6216	427	23	.	.	PUNCT
ejpam-6216	428	1	j.	j.	PROPN
ejpam-6216	428	2	pure	pure	PROPN
ejpam-6216	428	3	appl	appl	PROPN
ejpam-6216	428	4	.	.	PROPN
ejpam-6216	428	5	math	math	PROPN
ejpam-6216	428	6	,	,	PUNCT
ejpam-6216	428	7	18	18	NUM
ejpam-6216	428	8	(	(	PUNCT
ejpam-6216	428	9	4	4	NUM
ejpam-6216	428	10	)	)	PUNCT
ejpam-6216	428	11	(	(	PUNCT
ejpam-6216	428	12	2025	2025	NUM
ejpam-6216	428	13	)	)	PUNCT
ejpam-6216	428	14	,	,	PUNCT
ejpam-6216	428	15	6216	6216	NUM
ejpam-6216	428	16	24	24	NUM
ejpam-6216	428	17	of	of	ADP
ejpam-6216	428	18	36	36	NUM
ejpam-6216	428	19	needed	need	VERB
ejpam-6216	428	20	to	to	PART
ejpam-6216	428	21	manage	manage	VERB
ejpam-6216	428	22	acute	acute	ADJ
ejpam-6216	428	23	and	and	CCONJ
ejpam-6216	428	24	chronic	chronic	ADJ
ejpam-6216	428	25	health	health	NOUN
ejpam-6216	428	26	conditions	condition	NOUN
ejpam-6216	428	27	.	.	PUNCT
ejpam-6216	429	1	lack	lack	NOUN
ejpam-6216	429	2	of	of	ADP
ejpam-6216	429	3	access	access	NOUN
ejpam-6216	429	4	to	to	ADP
ejpam-6216	429	5	medicines	medicine	NOUN
ejpam-6216	429	6	can	can	AUX
ejpam-6216	429	7	lead	lead	VERB
ejpam-6216	429	8	to	to	ADP
ejpam-6216	429	9	delayed	delay	VERB
ejpam-6216	429	10	treatment	treatment	NOUN
ejpam-6216	429	11	,	,	PUNCT
ejpam-6216	429	12	exacerbation	exacerbation	NOUN
ejpam-6216	429	13	of	of	ADP
ejpam-6216	429	14	illnesses	illness	NOUN
ejpam-6216	429	15	,	,	PUNCT
ejpam-6216	429	16	and	and	CCONJ
ejpam-6216	429	17	preventable	preventable	ADJ
ejpam-6216	429	18	health	health	NOUN
ejpam-6216	429	19	complications	complication	NOUN
ejpam-6216	429	20	.	.	PUNCT
ejpam-6216	430	1	moreover	moreover	ADV
ejpam-6216	430	2	,	,	PUNCT
ejpam-6216	430	3	rural	rural	ADJ
ejpam-6216	430	4	populations	population	NOUN
ejpam-6216	430	5	are	be	AUX
ejpam-6216	430	6	often	often	ADV
ejpam-6216	430	7	disproportionately	disproportionately	ADV
ejpam-6216	430	8	affected	affect	VERB
ejpam-6216	430	9	by	by	ADP
ejpam-6216	430	10	certain	certain	ADJ
ejpam-6216	430	11	health	health	NOUN
ejpam-6216	430	12	issues	issue	NOUN
ejpam-6216	430	13	,	,	PUNCT
ejpam-6216	430	14	such	such	ADJ
ejpam-6216	430	15	as	as	ADP
ejpam-6216	430	16	chronic	chronic	ADJ
ejpam-6216	430	17	diseases	disease	NOUN
ejpam-6216	430	18	,	,	PUNCT
ejpam-6216	430	19	infectious	infectious	ADJ
ejpam-6216	430	20	diseases	disease	NOUN
ejpam-6216	430	21	,	,	PUNCT
ejpam-6216	430	22	and	and	CCONJ
ejpam-6216	430	23	maternal	maternal	ADJ
ejpam-6216	430	24	and	and	CCONJ
ejpam-6216	430	25	child	child	NOUN
ejpam-6216	430	26	health	health	NOUN
ejpam-6216	430	27	concerns	concern	NOUN
ejpam-6216	430	28	.	.	PUNCT
ejpam-6216	431	1	providing	provide	VERB
ejpam-6216	431	2	access	access	NOUN
ejpam-6216	431	3	to	to	ADP
ejpam-6216	431	4	medicines	medicine	NOUN
ejpam-6216	431	5	in	in	ADP
ejpam-6216	431	6	rural	rural	ADJ
ejpam-6216	431	7	areas	area	NOUN
ejpam-6216	431	8	helps	help	VERB
ejpam-6216	431	9	to	to	PART
ejpam-6216	431	10	improve	improve	VERB
ejpam-6216	431	11	health	health	NOUN
ejpam-6216	431	12	outcomes	outcome	NOUN
ejpam-6216	431	13	,	,	PUNCT
ejpam-6216	431	14	reduce	reduce	VERB
ejpam-6216	431	15	morbidity	morbidity	NOUN
ejpam-6216	431	16	and	and	CCONJ
ejpam-6216	431	17	mortality	mortality	NOUN
ejpam-6216	431	18	rates	rate	NOUN
ejpam-6216	431	19	,	,	PUNCT
ejpam-6216	431	20	and	and	CCONJ
ejpam-6216	431	21	enhance	enhance	VERB
ejpam-6216	431	22	the	the	DET
ejpam-6216	431	23	overall	overall	ADJ
ejpam-6216	431	24	quality	quality	NOUN
ejpam-6216	431	25	of	of	ADP
ejpam-6216	431	26	life	life	NOUN
ejpam-6216	431	27	for	for	ADP
ejpam-6216	431	28	rural	rural	ADJ
ejpam-6216	431	29	residents	resident	NOUN
ejpam-6216	431	30	.	.	PUNCT
ejpam-6216	432	1	additionally	additionally	ADV
ejpam-6216	432	2	,	,	PUNCT
ejpam-6216	432	3	ensuring	ensure	VERB
ejpam-6216	432	4	medication	medication	NOUN
ejpam-6216	432	5	supply	supply	NOUN
ejpam-6216	432	6	in	in	ADP
ejpam-6216	432	7	rural	rural	ADJ
ejpam-6216	432	8	communities	community	NOUN
ejpam-6216	432	9	contributes	contribute	VERB
ejpam-6216	432	10	to	to	ADP
ejpam-6216	432	11	economic	economic	ADJ
ejpam-6216	432	12	development	development	NOUN
ejpam-6216	432	13	,	,	PUNCT
ejpam-6216	432	14	as	as	SCONJ
ejpam-6216	432	15	healthy	healthy	ADJ
ejpam-6216	432	16	individuals	individual	NOUN
ejpam-6216	432	17	are	be	AUX
ejpam-6216	432	18	better	well	ADJ
ejpam-6216	432	19	able	able	ADJ
ejpam-6216	432	20	to	to	PART
ejpam-6216	432	21	participate	participate	VERB
ejpam-6216	432	22	in	in	ADP
ejpam-6216	432	23	the	the	DET
ejpam-6216	432	24	workforce	workforce	NOUN
ejpam-6216	432	25	and	and	CCONJ
ejpam-6216	432	26	contribute	contribute	VERB
ejpam-6216	432	27	to	to	ADP
ejpam-6216	432	28	local	local	ADJ
ejpam-6216	432	29	economies	economy	NOUN
ejpam-6216	432	30	.	.	PUNCT
ejpam-6216	433	1	consider	consider	VERB
ejpam-6216	433	2	a	a	DET
ejpam-6216	433	3	set	set	NOUN
ejpam-6216	433	4	of	of	ADP
ejpam-6216	433	5	rural	rural	ADJ
ejpam-6216	433	6	areas	area	NOUN
ejpam-6216	433	7	x	x	PUNCT
ejpam-6216	433	8	=	=	PRON
ejpam-6216	433	9	{	{	PUNCT
ejpam-6216	433	10	r1	r1	PROPN
ejpam-6216	433	11	,	,	PUNCT
ejpam-6216	433	12	r2	r2	PROPN
ejpam-6216	433	13	,	,	PUNCT
ejpam-6216	433	14	r3	r3	PROPN
ejpam-6216	433	15	,	,	PUNCT
ejpam-6216	433	16	r4	r4	NOUN
ejpam-6216	433	17	,	,	PUNCT
ejpam-6216	433	18	r5	r5	PROPN
ejpam-6216	433	19	,	,	PUNCT
ejpam-6216	433	20	r6	r6	NOUN
ejpam-6216	433	21	}	}	PUNCT
ejpam-6216	433	22	.	.	PUNCT
ejpam-6216	434	1	a	a	DET
ejpam-6216	434	2	medicine	medicine	NOUN
ejpam-6216	434	3	company	company	NOUN
ejpam-6216	434	4	wants	want	VERB
ejpam-6216	434	5	to	to	PART
ejpam-6216	434	6	set	set	VERB
ejpam-6216	434	7	up	up	ADP
ejpam-6216	434	8	a	a	DET
ejpam-6216	434	9	supply	supply	NOUN
ejpam-6216	434	10	market	market	NOUN
ejpam-6216	434	11	in	in	ADP
ejpam-6216	434	12	a	a	DET
ejpam-6216	434	13	minimum	minimum	ADJ
ejpam-6216	434	14	number	number	NOUN
ejpam-6216	434	15	of	of	ADP
ejpam-6216	434	16	rural	rural	ADJ
ejpam-6216	434	17	areas	area	NOUN
ejpam-6216	434	18	such	such	ADJ
ejpam-6216	434	19	that	that	SCONJ
ejpam-6216	434	20	medicines	medicine	NOUN
ejpam-6216	434	21	can	can	AUX
ejpam-6216	434	22	be	be	AUX
ejpam-6216	434	23	supplied	supply	VERB
ejpam-6216	434	24	to	to	ADP
ejpam-6216	434	25	each	each	DET
ejpam-6216	434	26	rural	rural	ADJ
ejpam-6216	434	27	area	area	NOUN
ejpam-6216	434	28	of	of	ADP
ejpam-6216	434	29	the	the	DET
ejpam-6216	434	30	set	set	NOUN
ejpam-6216	434	31	to	to	PART
ejpam-6216	434	32	meet	meet	VERB
ejpam-6216	434	33	the	the	DET
ejpam-6216	434	34	needs	need	NOUN
ejpam-6216	434	35	of	of	ADP
ejpam-6216	434	36	each	each	DET
ejpam-6216	434	37	rural	rural	ADJ
ejpam-6216	434	38	area	area	NOUN
ejpam-6216	434	39	.	.	PUNCT
ejpam-6216	435	1	a	a	DET
ejpam-6216	435	2	vertex	vertex	NOUN
ejpam-6216	435	3	’s	’s	PART
ejpam-6216	435	4	positive	positive	ADJ
ejpam-6216	435	5	membership	membership	NOUN
ejpam-6216	435	6	value	value	NOUN
ejpam-6216	435	7	in	in	ADP
ejpam-6216	435	8	the	the	DET
ejpam-6216	435	9	graph	graph	NOUN
ejpam-6216	435	10	indicates	indicate	VERB
ejpam-6216	435	11	how	how	SCONJ
ejpam-6216	435	12	much	much	ADJ
ejpam-6216	435	13	the	the	DET
ejpam-6216	435	14	rural	rural	ADJ
ejpam-6216	435	15	area	area	NOUN
ejpam-6216	435	16	has	have	VERB
ejpam-6216	435	17	the	the	DET
ejpam-6216	435	18	supply	supply	NOUN
ejpam-6216	435	19	of	of	ADP
ejpam-6216	435	20	medicines	medicine	NOUN
ejpam-6216	435	21	in	in	ADP
ejpam-6216	435	22	the	the	DET
ejpam-6216	435	23	set	set	NOUN
ejpam-6216	435	24	of	of	ADP
ejpam-6216	435	25	rural	rural	ADJ
ejpam-6216	435	26	areas	area	NOUN
ejpam-6216	435	27	and	and	CCONJ
ejpam-6216	435	28	the	the	DET
ejpam-6216	435	29	negative	negative	ADJ
ejpam-6216	435	30	membership	membership	NOUN
ejpam-6216	435	31	value	value	NOUN
ejpam-6216	435	32	represents	represent	VERB
ejpam-6216	435	33	how	how	SCONJ
ejpam-6216	435	34	much	much	ADJ
ejpam-6216	435	35	the	the	DET
ejpam-6216	435	36	rural	rural	ADJ
ejpam-6216	435	37	area	area	NOUN
ejpam-6216	435	38	needs	need	VERB
ejpam-6216	435	39	the	the	DET
ejpam-6216	435	40	supply	supply	NOUN
ejpam-6216	435	41	of	of	ADP
ejpam-6216	435	42	medicines	medicine	NOUN
ejpam-6216	435	43	in	in	ADP
ejpam-6216	435	44	the	the	DET
ejpam-6216	435	45	set	set	NOUN
ejpam-6216	435	46	of	of	ADP
ejpam-6216	435	47	rural	rural	ADJ
ejpam-6216	435	48	areas	area	NOUN
ejpam-6216	435	49	.	.	PUNCT
ejpam-6216	436	1	every	every	DET
ejpam-6216	436	2	directed	direct	VERB
ejpam-6216	436	3	edge	edge	NOUN
ejpam-6216	436	4	depicts	depict	VERB
ejpam-6216	436	5	the	the	DET
ejpam-6216	436	6	transport	transport	NOUN
ejpam-6216	436	7	of	of	ADP
ejpam-6216	436	8	medications	medication	NOUN
ejpam-6216	436	9	between	between	ADP
ejpam-6216	436	10	rural	rural	ADJ
ejpam-6216	436	11	areas	area	NOUN
ejpam-6216	436	12	.	.	PUNCT
ejpam-6216	437	1	the	the	DET
ejpam-6216	437	2	directed	direct	VERB
ejpam-6216	437	3	edge	edge	NOUN
ejpam-6216	437	4	’s	’s	PART
ejpam-6216	437	5	positive	positive	ADJ
ejpam-6216	437	6	membership	membership	NOUN
ejpam-6216	437	7	value	value	NOUN
ejpam-6216	437	8	from	from	ADP
ejpam-6216	437	9	one	one	NUM
ejpam-6216	437	10	rural	rural	ADJ
ejpam-6216	437	11	area	area	NOUN
ejpam-6216	437	12	to	to	ADP
ejpam-6216	437	13	another	another	PRON
ejpam-6216	437	14	represents	represent	VERB
ejpam-6216	437	15	the	the	DET
ejpam-6216	437	16	positive	positive	ADJ
ejpam-6216	437	17	supply	supply	NOUN
ejpam-6216	437	18	relationship	relationship	NOUN
ejpam-6216	437	19	from	from	ADP
ejpam-6216	437	20	one	one	NUM
ejpam-6216	437	21	rural	rural	ADJ
ejpam-6216	437	22	area	area	NOUN
ejpam-6216	437	23	to	to	ADP
ejpam-6216	437	24	the	the	DET
ejpam-6216	437	25	other	other	ADJ
ejpam-6216	437	26	.	.	PUNCT
ejpam-6216	438	1	the	the	DET
ejpam-6216	438	2	directed	direct	VERB
ejpam-6216	438	3	edge	edge	NOUN
ejpam-6216	438	4	’s	’s	PART
ejpam-6216	438	5	negative	negative	ADJ
ejpam-6216	438	6	membership	membership	NOUN
ejpam-6216	438	7	value	value	NOUN
ejpam-6216	438	8	from	from	ADP
ejpam-6216	438	9	one	one	NUM
ejpam-6216	438	10	rural	rural	ADJ
ejpam-6216	438	11	area	area	NOUN
ejpam-6216	438	12	to	to	ADP
ejpam-6216	438	13	another	another	PRON
ejpam-6216	438	14	represents	represent	VERB
ejpam-6216	438	15	a	a	DET
ejpam-6216	438	16	certain	certain	ADJ
ejpam-6216	438	17	level	level	NOUN
ejpam-6216	438	18	of	of	ADP
ejpam-6216	438	19	uncertainty	uncertainty	NOUN
ejpam-6216	438	20	or	or	CCONJ
ejpam-6216	438	21	ambiguity	ambiguity	NOUN
ejpam-6216	438	22	in	in	ADP
ejpam-6216	438	23	the	the	DET
ejpam-6216	438	24	supply	supply	NOUN
ejpam-6216	438	25	relationship	relationship	NOUN
ejpam-6216	438	26	due	due	ADP
ejpam-6216	438	27	to	to	ADP
ejpam-6216	438	28	factors	factor	NOUN
ejpam-6216	438	29	like	like	ADP
ejpam-6216	438	30	transportation	transportation	NOUN
ejpam-6216	438	31	challenges	challenge	NOUN
ejpam-6216	438	32	,	,	PUNCT
ejpam-6216	438	33	stock	stock	NOUN
ejpam-6216	438	34	availability	availability	NOUN
ejpam-6216	438	35	,	,	PUNCT
ejpam-6216	438	36	and	and	CCONJ
ejpam-6216	438	37	demand	demand	NOUN
ejpam-6216	438	38	fluctuations	fluctuation	NOUN
ejpam-6216	438	39	.	.	PUNCT
ejpam-6216	439	1	let	let	VERB
ejpam-6216	439	2	υ	υ	NOUN
ejpam-6216	439	3	=	=	SYM
ejpam-6216	439	4	(	(	PUNCT
ejpam-6216	439	5	υ+,υ−	υ+,υ−	NOUN
ejpam-6216	439	6	)	)	PUNCT
ejpam-6216	439	7	be	be	AUX
ejpam-6216	439	8	a	a	DET
ejpam-6216	439	9	bftr	bftr	NOUN
ejpam-6216	439	10	on	on	ADP
ejpam-6216	439	11	x	x	PUNCT
ejpam-6216	439	12	defined	define	VERB
ejpam-6216	439	13	in	in	ADP
ejpam-6216	439	14	the	the	DET
ejpam-6216	439	15	tables	table	NOUN
ejpam-6216	439	16	6	6	NUM
ejpam-6216	439	17	and	and	CCONJ
ejpam-6216	439	18	7	7	NUM
ejpam-6216	439	19	.	.	PUNCT
ejpam-6216	439	20	υ+	υ+	PROPN
ejpam-6216	439	21	r1	r1	PROPN
ejpam-6216	439	22	r2	r2	PROPN
ejpam-6216	439	23	r3	r3	PROPN
ejpam-6216	439	24	r4	r4	PROPN
ejpam-6216	439	25	r5	r5	PROPN
ejpam-6216	439	26	r6	r6	NOUN
ejpam-6216	439	27	r1	r1	PROPN
ejpam-6216	439	28	1	1	NUM
ejpam-6216	439	29	0.2	0.2	NUM
ejpam-6216	439	30	0.3	0.3	NUM
ejpam-6216	439	31	0.5	0.5	NUM
ejpam-6216	439	32	0.1	0.1	NUM
ejpam-6216	439	33	0.4	0.4	NUM
ejpam-6216	439	34	r2	r2	NOUN
ejpam-6216	439	35	0.2	0.2	NUM
ejpam-6216	439	36	1	1	NUM
ejpam-6216	439	37	0.1	0.1	NUM
ejpam-6216	439	38	0.2	0.2	NUM
ejpam-6216	439	39	0.3	0.3	NUM
ejpam-6216	439	40	0.5	0.5	NUM
ejpam-6216	439	41	r3	r3	NOUN
ejpam-6216	439	42	0.3	0.3	NUM
ejpam-6216	439	43	0.1	0.1	NUM
ejpam-6216	439	44	1	1	NUM
ejpam-6216	439	45	0.3	0.3	NUM
ejpam-6216	439	46	0.4	0.4	NUM
ejpam-6216	439	47	0.2	0.2	NUM
ejpam-6216	439	48	r4	r4	NOUN
ejpam-6216	439	49	0.5	0.5	NUM
ejpam-6216	439	50	0.2	0.2	NUM
ejpam-6216	439	51	0.3	0.3	NUM
ejpam-6216	439	52	1	1	NUM
ejpam-6216	439	53	0.1	0.1	NUM
ejpam-6216	439	54	0.2	0.2	NUM
ejpam-6216	439	55	r5	r5	PROPN
ejpam-6216	439	56	0.1	0.1	NUM
ejpam-6216	439	57	0.3	0.3	NUM
ejpam-6216	439	58	0.4	0.4	NUM
ejpam-6216	439	59	0.1	0.1	NUM
ejpam-6216	439	60	1	1	NUM
ejpam-6216	439	61	0.5	0.5	NUM
ejpam-6216	439	62	r6	r6	NOUN
ejpam-6216	439	63	0.4	0.4	NUM
ejpam-6216	439	64	0.5	0.5	NUM
ejpam-6216	439	65	0.2	0.2	NUM
ejpam-6216	439	66	0.2	0.2	NUM
ejpam-6216	439	67	0.5	0.5	NUM
ejpam-6216	439	68	1	1	NUM
ejpam-6216	439	69	table	table	NOUN
ejpam-6216	439	70	6	6	NUM
ejpam-6216	439	71	:	:	PUNCT
ejpam-6216	439	72	υ+	υ+	X
ejpam-6216	439	73	of	of	ADP
ejpam-6216	439	74	relation	relation	NOUN
ejpam-6216	439	75	υ	υ	PRON
ejpam-6216	439	76	υ−	υ−	PROPN
ejpam-6216	439	77	r1	r1	PROPN
ejpam-6216	439	78	r2	r2	PROPN
ejpam-6216	439	79	r3	r3	PROPN
ejpam-6216	439	80	r4	r4	PROPN
ejpam-6216	439	81	r5	r5	PROPN
ejpam-6216	439	82	r6	r6	PROPN
ejpam-6216	439	83	r1	r1	PROPN
ejpam-6216	439	84	−1	−1	NOUN
ejpam-6216	439	85	−0.1	−0.1	PROPN
ejpam-6216	439	86	−0.2	−0.2	PROPN
ejpam-6216	439	87	−0.4	−0.4	NUM
ejpam-6216	440	1	−0.3	−0.3	NUM
ejpam-6216	441	1	−0.25	−0.25	INTJ
ejpam-6216	441	2	r2	r2	PROPN
ejpam-6216	441	3	−0.1	−0.1	PROPN
ejpam-6216	441	4	−1	−1	NOUN
ejpam-6216	441	5	−0.3	−0.3	PROPN
ejpam-6216	441	6	−0.2	−0.2	PROPN
ejpam-6216	442	1	−0.5	−0.5	NOUN
ejpam-6216	442	2	−0.4	−0.4	NUM
ejpam-6216	443	1	r3	r3	NOUN
ejpam-6216	443	2	−0.2	−0.2	PROPN
ejpam-6216	443	3	−0.3	−0.3	PROPN
ejpam-6216	443	4	−1	−1	NOUN
ejpam-6216	443	5	−0.3	−0.3	PROPN
ejpam-6216	443	6	−0.1	−0.1	PROPN
ejpam-6216	443	7	−0.6	−0.6	PROPN
ejpam-6216	444	1	r4	r4	PROPN
ejpam-6216	444	2	−0.4	−0.4	PROPN
ejpam-6216	445	1	−0.2	−0.2	PROPN
ejpam-6216	445	2	−0.3	−0.3	PROPN
ejpam-6216	446	1	−1	−1	ADV
ejpam-6216	446	2	−0.35	−0.35	PROPN
ejpam-6216	447	1	−0.45	−0.45	ADV
ejpam-6216	447	2	r5	r5	PROPN
ejpam-6216	447	3	−0.3	−0.3	PROPN
ejpam-6216	447	4	−0.5	−0.5	PRON
ejpam-6216	448	1	−0.1	−0.1	PROPN
ejpam-6216	448	2	−0.35	−0.35	PROPN
ejpam-6216	448	3	−1	−1	NOUN
ejpam-6216	448	4	−0.2	−0.2	PROPN
ejpam-6216	448	5	r6	r6	NOUN
ejpam-6216	448	6	−0.25	−0.25	NOUN
ejpam-6216	448	7	−0.4	−0.4	PUNCT
ejpam-6216	449	1	−0.6	−0.6	PROPN
ejpam-6216	450	1	−0.45	−0.45	ADV
ejpam-6216	450	2	−0.2	−0.2	PROPN
ejpam-6216	450	3	−1	−1	NOUN
ejpam-6216	450	4	table	table	NOUN
ejpam-6216	450	5	7	7	NUM
ejpam-6216	450	6	:	:	PUNCT
ejpam-6216	450	7	υ−	υ−	PROPN
ejpam-6216	450	8	of	of	ADP
ejpam-6216	450	9	relation	relation	NOUN
ejpam-6216	450	10	υ	υ	DET
ejpam-6216	450	11	letw	letw	NOUN
ejpam-6216	450	12	=	=	SYM
ejpam-6216	450	13	{	{	PUNCT
ejpam-6216	450	14	(	(	PUNCT
ejpam-6216	450	15	r1	r1	PROPN
ejpam-6216	450	16	,	,	PUNCT
ejpam-6216	450	17	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	450	18	)	)	PUNCT
ejpam-6216	450	19	,	,	PUNCT
ejpam-6216	450	20	(	(	PUNCT
ejpam-6216	450	21	r2	r2	PROPN
ejpam-6216	450	22	,	,	PUNCT
ejpam-6216	450	23	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	450	24	)	)	PUNCT
ejpam-6216	450	25	,	,	PUNCT
ejpam-6216	450	26	(	(	PUNCT
ejpam-6216	450	27	r3	r3	PROPN
ejpam-6216	450	28	,	,	PUNCT
ejpam-6216	450	29	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	450	30	)	)	PUNCT
ejpam-6216	450	31	,	,	PUNCT
ejpam-6216	450	32	(	(	PUNCT
ejpam-6216	450	33	r4	r4	NOUN
ejpam-6216	450	34	,	,	PUNCT
ejpam-6216	450	35	0.4,−0.2	0.4,−0.2	NUM
ejpam-6216	450	36	)	)	PUNCT
ejpam-6216	450	37	,	,	PUNCT
ejpam-6216	450	38	(	(	PUNCT
ejpam-6216	450	39	r5	r5	PROPN
ejpam-6216	450	40	,	,	PUNCT
ejpam-6216	450	41	0.3,−0.5	0.3,−0.5	NUM
ejpam-6216	450	42	)	)	PUNCT
ejpam-6216	450	43	,	,	PUNCT
ejpam-6216	450	44	(	(	PUNCT
ejpam-6216	450	45	r6	r6	NOUN
ejpam-6216	450	46	,	,	PUNCT
ejpam-6216	450	47	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	450	48	)	)	PUNCT
ejpam-6216	450	49	}	}	PUNCT
ejpam-6216	450	50	be	be	AUX
ejpam-6216	450	51	a	a	DET
ejpam-6216	450	52	bfs	bfs	NOUN
ejpam-6216	450	53	on	on	ADP
ejpam-6216	450	54	x.	x.	NOUN
ejpam-6216	450	55	the	the	DET
ejpam-6216	450	56	lower	low	ADJ
ejpam-6216	450	57	approximation	approximation	NOUN
ejpam-6216	450	58	of	of	ADP
ejpam-6216	450	59	w	w	NOUN
ejpam-6216	450	60	with	with	ADP
ejpam-6216	450	61	respect	respect	NOUN
ejpam-6216	450	62	to	to	ADP
ejpam-6216	450	63	υ	υ	NOUN
ejpam-6216	450	64	is	be	AUX
ejpam-6216	450	65	:	:	PUNCT
ejpam-6216	450	66	υw	υw	ADJ
ejpam-6216	450	67	=	=	PUNCT
ejpam-6216	450	68	{	{	PUNCT
ejpam-6216	450	69	(	(	PUNCT
ejpam-6216	450	70	r1	r1	PROPN
ejpam-6216	450	71	,	,	PUNCT
ejpam-6216	450	72	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	450	73	)	)	PUNCT
ejpam-6216	450	74	,	,	PUNCT
ejpam-6216	450	75	(	(	PUNCT
ejpam-6216	450	76	r2	r2	PROPN
ejpam-6216	450	77	,	,	PUNCT
ejpam-6216	450	78	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	450	79	)	)	PUNCT
ejpam-6216	450	80	,	,	PUNCT
ejpam-6216	450	81	(	(	PUNCT
ejpam-6216	450	82	r3	r3	PROPN
ejpam-6216	450	83	,	,	PUNCT
ejpam-6216	450	84	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	450	85	)	)	PUNCT
ejpam-6216	450	86	,	,	PUNCT
ejpam-6216	450	87	(	(	PUNCT
ejpam-6216	450	88	r4	r4	NOUN
ejpam-6216	450	89	,	,	PUNCT
ejpam-6216	450	90	0.4,−0.2	0.4,−0.2	NUM
ejpam-6216	450	91	)	)	PUNCT
ejpam-6216	450	92	,	,	PUNCT
ejpam-6216	450	93	(	(	PUNCT
ejpam-6216	450	94	r5	r5	PROPN
ejpam-6216	450	95	,	,	PUNCT
ejpam-6216	450	96	0.3,−0.5	0.3,−0.5	NUM
ejpam-6216	450	97	)	)	PUNCT
ejpam-6216	450	98	,	,	PUNCT
ejpam-6216	450	99	(	(	PUNCT
ejpam-6216	450	100	r6	r6	NOUN
ejpam-6216	450	101	,	,	PUNCT
ejpam-6216	450	102	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	450	103	)	)	PUNCT
ejpam-6216	450	104	}	}	PUNCT
ejpam-6216	450	105	the	the	DET
ejpam-6216	450	106	upper	upper	ADJ
ejpam-6216	450	107	approximation	approximation	NOUN
ejpam-6216	450	108	of	of	ADP
ejpam-6216	450	109	w	w	NOUN
ejpam-6216	450	110	with	with	ADP
ejpam-6216	450	111	respect	respect	NOUN
ejpam-6216	450	112	to	to	ADP
ejpam-6216	450	113	υ	υ	NOUN
ejpam-6216	450	114	is	be	AUX
ejpam-6216	450	115	:	:	PUNCT
ejpam-6216	450	116	υw	υw	ADJ
ejpam-6216	450	117	=	=	PUNCT
ejpam-6216	450	118	{	{	PUNCT
ejpam-6216	450	119	(	(	PUNCT
ejpam-6216	450	120	r1	r1	PROPN
ejpam-6216	450	121	,	,	PUNCT
ejpam-6216	450	122	0.4,−0.3	0.4,−0.3	NUM
ejpam-6216	450	123	)	)	PUNCT
ejpam-6216	450	124	,	,	PUNCT
ejpam-6216	450	125	(	(	PUNCT
ejpam-6216	450	126	r2	r2	PROPN
ejpam-6216	450	127	,	,	PUNCT
ejpam-6216	450	128	0.4,−0.5	0.4,−0.5	NUM
ejpam-6216	450	129	)	)	PUNCT
ejpam-6216	450	130	,	,	PUNCT
ejpam-6216	450	131	(	(	PUNCT
ejpam-6216	450	132	r3	r3	PROPN
ejpam-6216	450	133	,	,	PUNCT
ejpam-6216	450	134	0.3,−0.4	0.3,−0.4	NUM
ejpam-6216	450	135	)	)	PUNCT
ejpam-6216	450	136	,	,	PUNCT
ejpam-6216	450	137	(	(	PUNCT
ejpam-6216	450	138	r4	r4	NOUN
ejpam-6216	450	139	,	,	PUNCT
ejpam-6216	450	140	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	450	141	)	)	PUNCT
ejpam-6216	450	142	,	,	PUNCT
ejpam-6216	450	143	(	(	PUNCT
ejpam-6216	450	144	r5	r5	PROPN
ejpam-6216	450	145	,	,	PUNCT
ejpam-6216	450	146	0.4,−0.5	0.4,−0.5	NUM
ejpam-6216	450	147	)	)	PUNCT
ejpam-6216	450	148	,	,	PUNCT
ejpam-6216	450	149	(	(	PUNCT
ejpam-6216	450	150	r6	r6	NOUN
ejpam-6216	450	151	,	,	PUNCT
ejpam-6216	450	152	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	450	153	)	)	PUNCT
ejpam-6216	450	154	}	}	PUNCT
ejpam-6216	450	155	let	let	VERB
ejpam-6216	450	156	l	l	NOUN
ejpam-6216	450	157	=	=	SYM
ejpam-6216	450	158	(	(	PUNCT
ejpam-6216	450	159	l+	l+	PROPN
ejpam-6216	450	160	,	,	PUNCT
ejpam-6216	450	161	l−	l−	PROPN
ejpam-6216	450	162	)	)	PUNCT
ejpam-6216	450	163	be	be	VERB
ejpam-6216	450	164	a	a	DET
ejpam-6216	450	165	bftr	bftr	NOUN
ejpam-6216	450	166	on	on	ADP
ejpam-6216	450	167	a	a	DET
ejpam-6216	450	168	⊆	⊆	NUM
ejpam-6216	450	169	x	x	SYM
ejpam-6216	450	170	×x	×x	ADV
ejpam-6216	450	171	and	and	CCONJ
ejpam-6216	450	172	defined	define	VERB
ejpam-6216	450	173	by	by	ADP
ejpam-6216	450	174	the	the	DET
ejpam-6216	450	175	tables	table	NOUN
ejpam-6216	450	176	8	8	NUM
ejpam-6216	450	177	and	and	CCONJ
ejpam-6216	450	178	9	9	NUM
ejpam-6216	450	179	:	:	PUNCT
ejpam-6216	450	180	a.	a.	PROPN
ejpam-6216	450	181	arif	arif	PROPN
ejpam-6216	450	182	et	et	PROPN
ejpam-6216	450	183	al	al	PROPN
ejpam-6216	450	184	.	.	PUNCT
ejpam-6216	450	185	/	/	SYM
ejpam-6216	450	186	eur	eur	PROPN
ejpam-6216	450	187	.	.	PUNCT
ejpam-6216	451	1	j.	j.	PROPN
ejpam-6216	451	2	pure	pure	PROPN
ejpam-6216	451	3	appl	appl	PROPN
ejpam-6216	451	4	.	.	PROPN
ejpam-6216	451	5	math	math	PROPN
ejpam-6216	451	6	,	,	PUNCT
ejpam-6216	451	7	18	18	NUM
ejpam-6216	451	8	(	(	PUNCT
ejpam-6216	451	9	4	4	NUM
ejpam-6216	451	10	)	)	PUNCT
ejpam-6216	451	11	(	(	PUNCT
ejpam-6216	451	12	2025	2025	NUM
ejpam-6216	451	13	)	)	PUNCT
ejpam-6216	451	14	,	,	PUNCT
ejpam-6216	451	15	6216	6216	NUM
ejpam-6216	451	16	25	25	NUM
ejpam-6216	451	17	of	of	ADP
ejpam-6216	451	18	36	36	NUM
ejpam-6216	451	19	l+	l+	X
ejpam-6216	451	20	r1r6	r1r6	PUNCT
ejpam-6216	451	21	r2r1	r2r1	NOUN
ejpam-6216	451	22	r2r5	r2r5	ADP
ejpam-6216	451	23	r3r4	r3r4	VERB
ejpam-6216	451	24	r5r6	r5r6	VERB
ejpam-6216	451	25	r2r6	r2r6	X
ejpam-6216	451	26	r5r1	r5r1	VERB
ejpam-6216	451	27	r1r6	r1r6	ADV
ejpam-6216	451	28	1	1	NUM
ejpam-6216	451	29	0.2	0.2	NUM
ejpam-6216	451	30	0.2	0.2	NUM
ejpam-6216	451	31	0.1	0.1	NUM
ejpam-6216	451	32	0.1	0.1	NUM
ejpam-6216	451	33	0.2	0.2	NUM
ejpam-6216	451	34	0.05	0.05	NUM
ejpam-6216	451	35	r2r1	r2r1	SYM
ejpam-6216	451	36	0.2	0.2	NUM
ejpam-6216	451	37	1	1	NUM
ejpam-6216	451	38	0.1	0.1	NUM
ejpam-6216	451	39	0.075	0.075	NUM
ejpam-6216	451	40	0.3	0.3	NUM
ejpam-6216	451	41	0.4	0.4	NUM
ejpam-6216	451	42	0.3	0.3	NUM
ejpam-6216	451	43	r2r5	r2r5	NOUN
ejpam-6216	451	44	0.2	0.2	NUM
ejpam-6216	451	45	0.1	0.1	NUM
ejpam-6216	451	46	1	1	NUM
ejpam-6216	451	47	0.1	0.1	NUM
ejpam-6216	451	48	0.3	0.3	NUM
ejpam-6216	451	49	0.5	0.5	NUM
ejpam-6216	451	50	0.1	0.1	NUM
ejpam-6216	451	51	r3r4	r3r4	NOUN
ejpam-6216	451	52	0.1	0.1	NUM
ejpam-6216	451	53	0.075	0.075	NUM
ejpam-6216	451	54	0.1	0.1	NUM
ejpam-6216	451	55	1	1	NUM
ejpam-6216	451	56	0.2	0.2	NUM
ejpam-6216	451	57	0.1	0.1	NUM
ejpam-6216	451	58	0.05	0.05	NUM
ejpam-6216	451	59	r5r6	r5r6	PROPN
ejpam-6216	451	60	0.1	0.1	NUM
ejpam-6216	451	61	0.3	0.3	NUM
ejpam-6216	451	62	0.3	0.3	NUM
ejpam-6216	451	63	0.2	0.2	NUM
ejpam-6216	451	64	1	1	NUM
ejpam-6216	451	65	0.1	0.1	NUM
ejpam-6216	451	66	0.4	0.4	NUM
ejpam-6216	451	67	r2r6	r2r6	SYM
ejpam-6216	451	68	0.2	0.2	NUM
ejpam-6216	451	69	0.4	0.4	NUM
ejpam-6216	451	70	0.5	0.5	NUM
ejpam-6216	451	71	0.1	0.1	NUM
ejpam-6216	451	72	0.1	0.1	NUM
ejpam-6216	451	73	1	1	NUM
ejpam-6216	451	74	0.3	0.3	NUM
ejpam-6216	451	75	r5r1	r5r1	VERB
ejpam-6216	451	76	0.05	0.05	NUM
ejpam-6216	451	77	0.3	0.3	NUM
ejpam-6216	451	78	0.1	0.1	NUM
ejpam-6216	451	79	0.05	0.05	NUM
ejpam-6216	451	80	0.4	0.4	NUM
ejpam-6216	451	81	0.3	0.3	NUM
ejpam-6216	451	82	1	1	NUM
ejpam-6216	451	83	table	table	NOUN
ejpam-6216	451	84	8	8	NUM
ejpam-6216	451	85	:	:	PUNCT
ejpam-6216	451	86	l+	l+	NOUN
ejpam-6216	451	87	of	of	ADP
ejpam-6216	451	88	relation	relation	NOUN
ejpam-6216	451	89	l	l	PROPN
ejpam-6216	451	90	l−	l−	PROPN
ejpam-6216	451	91	r1r6	r1r6	VERB
ejpam-6216	451	92	r2r1	r2r1	NOUN
ejpam-6216	451	93	r2r5	r2r5	ADP
ejpam-6216	451	94	r3r4	r3r4	VERB
ejpam-6216	451	95	r5r6	r5r6	VERB
ejpam-6216	451	96	r2r6	r2r6	X
ejpam-6216	451	97	r5r1	r5r1	VERB
ejpam-6216	451	98	r1r6	r1r6	VERB
ejpam-6216	451	99	−1	−1	NOUN
ejpam-6216	451	100	−0.1	−0.1	NOUN
ejpam-6216	451	101	−0.05	−0.05	NOUN
ejpam-6216	451	102	−0.2	−0.2	PROPN
ejpam-6216	451	103	−0.3	−0.3	PROPN
ejpam-6216	452	1	−0.1	−0.1	PROPN
ejpam-6216	452	2	−0.25	−0.25	NOUN
ejpam-6216	452	3	r2r1	r2r1	PUNCT
ejpam-6216	452	4	−0.1	−0.1	PROPN
ejpam-6216	452	5	−1	−1	NOUN
ejpam-6216	452	6	−0.3	−0.3	PROPN
ejpam-6216	452	7	−0.2	−0.2	PROPN
ejpam-6216	453	1	−0.25	−0.25	ADV
ejpam-6216	453	2	−0.1	−0.1	PUNCT
ejpam-6216	454	1	−0.5	−0.5	PRON
ejpam-6216	454	2	r2r5	r2r5	NOUN
ejpam-6216	454	3	−0.05	−0.05	ADJ
ejpam-6216	454	4	−0.3	−0.3	PROPN
ejpam-6216	454	5	−1	−1	NOUN
ejpam-6216	454	6	−0.3	−0.3	PROPN
ejpam-6216	454	7	−0.2	−0.2	PROPN
ejpam-6216	455	1	−0.1	−0.1	PROPN
ejpam-6216	455	2	−0.3	−0.3	PROPN
ejpam-6216	456	1	r3r4	r3r4	VERB
ejpam-6216	456	2	−0.2	−0.2	PROPN
ejpam-6216	456	3	−0.2	−0.2	PROPN
ejpam-6216	456	4	−0.3	−0.3	PROPN
ejpam-6216	457	1	−1	−1	ADV
ejpam-6216	457	2	−0.1	−0.1	PROPN
ejpam-6216	457	3	−0.3	−0.3	PROPN
ejpam-6216	458	1	−0.05	−0.05	ADV
ejpam-6216	458	2	r5r6	r5r6	VERB
ejpam-6216	458	3	−0.3	−0.3	PROPN
ejpam-6216	459	1	−0.25	−0.25	ADV
ejpam-6216	459	2	−0.2	−0.2	PROPN
ejpam-6216	459	3	−0.1	−0.1	PROPN
ejpam-6216	459	4	−1	−1	NOUN
ejpam-6216	459	5	−0.5	−0.5	NOUN
ejpam-6216	459	6	−0.25	−0.25	ADV
ejpam-6216	459	7	r2r6	r2r6	VERB
ejpam-6216	459	8	−0.1	−0.1	PROPN
ejpam-6216	459	9	−0.1	−0.1	X
ejpam-6216	459	10	−0.1	−0.1	X
ejpam-6216	459	11	−0.3	−0.3	PROPN
ejpam-6216	459	12	−0.5	−0.5	NUM
ejpam-6216	459	13	−1	−1	NOUN
ejpam-6216	460	1	−0.1	−0.1	PROPN
ejpam-6216	460	2	r5r1	r5r1	VERB
ejpam-6216	460	3	−0.25	−0.25	ADJ
ejpam-6216	460	4	−0.5	−0.5	PRON
ejpam-6216	460	5	−0.3	−0.3	VERB
ejpam-6216	461	1	−0.05	−0.05	ADV
ejpam-6216	462	1	−0.25	−0.25	ADP
ejpam-6216	462	2	−0.1	−0.1	ADJ
ejpam-6216	462	3	−1	−1	NOUN
ejpam-6216	462	4	table	table	NOUN
ejpam-6216	462	5	9	9	NUM
ejpam-6216	462	6	:	:	PUNCT
ejpam-6216	462	7	l+	l+	NOUN
ejpam-6216	462	8	of	of	ADP
ejpam-6216	462	9	relation	relation	NOUN
ejpam-6216	462	10	l	l	NOUN
ejpam-6216	462	11	let	let	VERB
ejpam-6216	462	12	λ	λ	X
ejpam-6216	462	13	=	=	PRON
ejpam-6216	462	14	(	(	PUNCT
ejpam-6216	462	15	λ+,λ−	λ+,λ−	PROPN
ejpam-6216	462	16	)	)	PUNCT
ejpam-6216	462	17	be	be	AUX
ejpam-6216	462	18	a	a	DET
ejpam-6216	462	19	bfs	bfs	NOUN
ejpam-6216	462	20	on	on	ADP
ejpam-6216	462	21	a	a	PRON
ejpam-6216	462	22	defined	define	VERB
ejpam-6216	462	23	by	by	ADP
ejpam-6216	462	24	:	:	PUNCT
ejpam-6216	462	25	λ	λ	SYM
ejpam-6216	462	26	=	=	PRON
ejpam-6216	462	27	{	{	PUNCT
ejpam-6216	462	28	(	(	PUNCT
ejpam-6216	462	29	r1r6	r1r6	PROPN
ejpam-6216	462	30	,	,	PUNCT
ejpam-6216	462	31	0.2.−	0.2.−	NOUN
ejpam-6216	462	32	0.1	0.1	NUM
ejpam-6216	462	33	)	)	PUNCT
ejpam-6216	462	34	,	,	PUNCT
ejpam-6216	462	35	(	(	PUNCT
ejpam-6216	462	36	r2r1	r2r1	PROPN
ejpam-6216	462	37	,	,	PUNCT
ejpam-6216	462	38	0.1,−0.1	0.1,−0.1	NOUN
ejpam-6216	462	39	)	)	PUNCT
ejpam-6216	462	40	,	,	PUNCT
ejpam-6216	462	41	(	(	PUNCT
ejpam-6216	462	42	r2r5	r2r5	X
ejpam-6216	462	43	,	,	PUNCT
ejpam-6216	462	44	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	462	45	)	)	PUNCT
ejpam-6216	462	46	,	,	PUNCT
ejpam-6216	462	47	(	(	PUNCT
ejpam-6216	462	48	r3r4	r3r4	NOUN
ejpam-6216	462	49	,	,	PUNCT
ejpam-6216	462	50	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	462	51	)	)	PUNCT
ejpam-6216	462	52	,	,	PUNCT
ejpam-6216	462	53	(	(	PUNCT
ejpam-6216	462	54	r5r6	r5r6	NOUN
ejpam-6216	462	55	,	,	PUNCT
ejpam-6216	462	56	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	462	57	)	)	PUNCT
ejpam-6216	462	58	,	,	PUNCT
ejpam-6216	462	59	(	(	PUNCT
ejpam-6216	462	60	r2r6	r2r6	X
ejpam-6216	462	61	,	,	PUNCT
ejpam-6216	462	62	0.3,−0.2	0.3,−0.2	NUM
ejpam-6216	462	63	)	)	PUNCT
ejpam-6216	462	64	,	,	PUNCT
ejpam-6216	462	65	(	(	PUNCT
ejpam-6216	462	66	r5r1	r5r1	NOUN
ejpam-6216	462	67	,	,	PUNCT
ejpam-6216	462	68	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	462	69	)	)	PUNCT
ejpam-6216	462	70	}	}	PUNCT
ejpam-6216	462	71	the	the	DET
ejpam-6216	462	72	set	set	NOUN
ejpam-6216	462	73	of	of	ADP
ejpam-6216	462	74	lower	low	ADJ
ejpam-6216	462	75	approximations	approximation	NOUN
ejpam-6216	462	76	of	of	ADP
ejpam-6216	462	77	λ	λ	PROPN
ejpam-6216	462	78	is	be	AUX
ejpam-6216	462	79	:	:	PUNCT
ejpam-6216	462	80	lλ	lλ	INTJ
ejpam-6216	462	81	=	=	SYM
ejpam-6216	462	82	{	{	PUNCT
ejpam-6216	462	83	(	(	PUNCT
ejpam-6216	462	84	r1r6	r1r6	PROPN
ejpam-6216	462	85	,	,	PUNCT
ejpam-6216	462	86	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	462	87	)	)	PUNCT
ejpam-6216	462	88	,	,	PUNCT
ejpam-6216	462	89	(	(	PUNCT
ejpam-6216	462	90	r2r1	r2r1	PROPN
ejpam-6216	462	91	,	,	PUNCT
ejpam-6216	462	92	0.1,−0.1	0.1,−0.1	NOUN
ejpam-6216	462	93	)	)	PUNCT
ejpam-6216	462	94	,	,	PUNCT
ejpam-6216	462	95	(	(	PUNCT
ejpam-6216	462	96	r2r5	r2r5	X
ejpam-6216	462	97	,	,	PUNCT
ejpam-6216	462	98	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	462	99	)	)	PUNCT
ejpam-6216	462	100	,	,	PUNCT
ejpam-6216	462	101	(	(	PUNCT
ejpam-6216	462	102	r3r4	r3r4	NOUN
ejpam-6216	462	103	,	,	PUNCT
ejpam-6216	462	104	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	462	105	)	)	PUNCT
ejpam-6216	462	106	,	,	PUNCT
ejpam-6216	462	107	(	(	PUNCT
ejpam-6216	462	108	r5r6	r5r6	NOUN
ejpam-6216	462	109	,	,	PUNCT
ejpam-6216	462	110	0.1,−0.2	0.1,−0.2	NOUN
ejpam-6216	462	111	)	)	PUNCT
ejpam-6216	462	112	,	,	PUNCT
ejpam-6216	462	113	(	(	PUNCT
ejpam-6216	462	114	r2r6	r2r6	X
ejpam-6216	462	115	,	,	PUNCT
ejpam-6216	462	116	0.3,−0.2	0.3,−0.2	NUM
ejpam-6216	462	117	)	)	PUNCT
ejpam-6216	462	118	,	,	PUNCT
ejpam-6216	462	119	(	(	PUNCT
ejpam-6216	462	120	r5r1	r5r1	NOUN
ejpam-6216	462	121	,	,	PUNCT
ejpam-6216	462	122	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	462	123	)	)	PUNCT
ejpam-6216	462	124	}	}	PUNCT
ejpam-6216	462	125	the	the	DET
ejpam-6216	462	126	set	set	NOUN
ejpam-6216	462	127	of	of	ADP
ejpam-6216	462	128	upper	upper	ADJ
ejpam-6216	462	129	approximation	approximation	NOUN
ejpam-6216	462	130	of	of	ADP
ejpam-6216	462	131	λ	λ	PROPN
ejpam-6216	462	132	is	be	AUX
ejpam-6216	462	133	:	:	PUNCT
ejpam-6216	462	134	lλ	lλ	INTJ
ejpam-6216	462	135	=	=	SYM
ejpam-6216	462	136	{	{	PUNCT
ejpam-6216	462	137	(	(	PUNCT
ejpam-6216	462	138	r1r6	r1r6	PROPN
ejpam-6216	462	139	,	,	PUNCT
ejpam-6216	462	140	0.2,−0.2	0.2,−0.2	NUM
ejpam-6216	462	141	)	)	PUNCT
ejpam-6216	462	142	,	,	PUNCT
ejpam-6216	462	143	(	(	PUNCT
ejpam-6216	462	144	r2r1	r2r1	PROPN
ejpam-6216	462	145	,	,	PUNCT
ejpam-6216	462	146	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	462	147	)	)	PUNCT
ejpam-6216	462	148	,	,	PUNCT
ejpam-6216	462	149	(	(	PUNCT
ejpam-6216	462	150	r2r5	r2r5	X
ejpam-6216	462	151	,	,	PUNCT
ejpam-6216	462	152	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	462	153	)	)	PUNCT
ejpam-6216	462	154	,	,	PUNCT
ejpam-6216	462	155	(	(	PUNCT
ejpam-6216	462	156	r3r4	r3r4	PROPN
ejpam-6216	462	157	,	,	PUNCT
ejpam-6216	462	158	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	462	159	)	)	PUNCT
ejpam-6216	462	160	,	,	PUNCT
ejpam-6216	462	161	(	(	PUNCT
ejpam-6216	462	162	r5r6	r5r6	NOUN
ejpam-6216	462	163	,	,	PUNCT
ejpam-6216	462	164	0.3,−0.2	0.3,−0.2	NUM
ejpam-6216	462	165	)	)	PUNCT
ejpam-6216	462	166	,	,	PUNCT
ejpam-6216	462	167	(	(	PUNCT
ejpam-6216	462	168	r2r6	r2r6	X
ejpam-6216	462	169	,	,	PUNCT
ejpam-6216	462	170	0.3,−0.2	0.3,−0.2	NUM
ejpam-6216	462	171	)	)	PUNCT
ejpam-6216	462	172	,	,	PUNCT
ejpam-6216	462	173	(	(	PUNCT
ejpam-6216	462	174	r5r1	r5r1	PROPN
ejpam-6216	462	175	,	,	PUNCT
ejpam-6216	462	176	0.3,−0.3	0.3,−0.3	NUM
ejpam-6216	462	177	)	)	PUNCT
ejpam-6216	462	178	}	}	PUNCT
ejpam-6216	462	179	using	use	VERB
ejpam-6216	462	180	this	this	DET
ejpam-6216	462	181	information	information	NOUN
ejpam-6216	462	182	,	,	PUNCT
ejpam-6216	462	183	the	the	DET
ejpam-6216	462	184	lower	low	ADJ
ejpam-6216	462	185	and	and	CCONJ
ejpam-6216	462	186	upper	upper	ADJ
ejpam-6216	462	187	approximations	approximation	NOUN
ejpam-6216	462	188	of	of	ADP
ejpam-6216	462	189	the	the	DET
ejpam-6216	462	190	bfrds	bfrd	NOUN
ejpam-6216	462	191	are	be	AUX
ejpam-6216	462	192	shown	show	VERB
ejpam-6216	462	193	in	in	ADP
ejpam-6216	462	194	figures	figure	NOUN
ejpam-6216	462	195	10	10	NUM
ejpam-6216	462	196	and	and	CCONJ
ejpam-6216	462	197	11	11	NUM
ejpam-6216	462	198	respectively	respectively	ADV
ejpam-6216	462	199	.	.	PUNCT
ejpam-6216	463	1	notice	notice	VERB
ejpam-6216	463	2	that	that	SCONJ
ejpam-6216	463	3	r5r6	r5r6	PROPN
ejpam-6216	463	4	is	be	AUX
ejpam-6216	463	5	not	not	PART
ejpam-6216	463	6	a	a	DET
ejpam-6216	463	7	strong	strong	ADJ
ejpam-6216	463	8	arc	arc	NOUN
ejpam-6216	463	9	in	in	ADP
ejpam-6216	463	10	γ	γ	NOUN
ejpam-6216	463	11	but	but	CCONJ
ejpam-6216	463	12	it	it	PRON
ejpam-6216	463	13	is	be	AUX
ejpam-6216	463	14	a	a	DET
ejpam-6216	463	15	strong	strong	ADJ
ejpam-6216	463	16	arc	arc	NOUN
ejpam-6216	463	17	in	in	ADP
ejpam-6216	463	18	γ	γ	PROPN
ejpam-6216	463	19	.	.	PUNCT
ejpam-6216	463	20	therefore	therefore	ADV
ejpam-6216	463	21	,	,	PUNCT
ejpam-6216	463	22	all	all	DET
ejpam-6216	463	23	the	the	DET
ejpam-6216	463	24	arcs	arc	NOUN
ejpam-6216	463	25	except	except	SCONJ
ejpam-6216	463	26	r5r6	r5r6	PROPN
ejpam-6216	463	27	are	be	AUX
ejpam-6216	463	28	strong	strong	ADJ
ejpam-6216	463	29	in	in	ADP
ejpam-6216	463	30	γ	γ	X
ejpam-6216	463	31	=	=	SYM
ejpam-6216	463	32	(	(	PUNCT
ejpam-6216	463	33	γ	γ	X
ejpam-6216	463	34	,	,	PUNCT
ejpam-6216	463	35	γ	γ	NOUN
ejpam-6216	463	36	)	)	PUNCT
ejpam-6216	463	37	.	.	PUNCT
ejpam-6216	464	1	the	the	DET
ejpam-6216	464	2	strong	strong	ADJ
ejpam-6216	464	3	arcs	arc	NOUN
ejpam-6216	464	4	show	show	VERB
ejpam-6216	464	5	that	that	SCONJ
ejpam-6216	464	6	a	a	DET
ejpam-6216	464	7	maximum	maximum	ADJ
ejpam-6216	464	8	amount	amount	NOUN
ejpam-6216	464	9	of	of	ADP
ejpam-6216	464	10	medicines	medicine	NOUN
ejpam-6216	464	11	can	can	AUX
ejpam-6216	464	12	be	be	AUX
ejpam-6216	464	13	supplied	supply	VERB
ejpam-6216	464	14	between	between	ADP
ejpam-6216	464	15	two	two	NUM
ejpam-6216	464	16	rural	rural	ADJ
ejpam-6216	464	17	areas	area	NOUN
ejpam-6216	464	18	most	most	ADJ
ejpam-6216	464	19	cost	cost	NOUN
ejpam-6216	464	20	-	-	PUNCT
ejpam-6216	464	21	effectively	effectively	ADV
ejpam-6216	464	22	.	.	PUNCT
ejpam-6216	465	1	the	the	DET
ejpam-6216	465	2	upper	upper	ADJ
ejpam-6216	465	3	and	and	CCONJ
ejpam-6216	465	4	lower	low	ADJ
ejpam-6216	465	5	minimum	minimum	ADJ
ejpam-6216	465	6	dominating	dominating	NOUN
ejpam-6216	465	7	set	set	NOUN
ejpam-6216	465	8	is	be	AUX
ejpam-6216	465	9	d	d	NOUN
ejpam-6216	465	10	=	=	PUNCT
ejpam-6216	465	11	{	{	PUNCT
ejpam-6216	465	12	r2	r2	PROPN
ejpam-6216	465	13	,	,	PUNCT
ejpam-6216	465	14	r3	r3	PROPN
ejpam-6216	465	15	}	}	PUNCT
ejpam-6216	465	16	,	,	PUNCT
ejpam-6216	465	17	therefore	therefore	ADV
ejpam-6216	465	18	the	the	DET
ejpam-6216	465	19	mds	mds	PROPN
ejpam-6216	465	20	of	of	ADP
ejpam-6216	465	21	a.	a.	PROPN
ejpam-6216	465	22	arif	arif	PROPN
ejpam-6216	465	23	et	et	PROPN
ejpam-6216	465	24	al	al	PROPN
ejpam-6216	465	25	.	.	PUNCT
ejpam-6216	465	26	/	/	SYM
ejpam-6216	465	27	eur	eur	PROPN
ejpam-6216	465	28	.	.	PUNCT
ejpam-6216	466	1	j.	j.	PROPN
ejpam-6216	466	2	pure	pure	PROPN
ejpam-6216	466	3	appl	appl	PROPN
ejpam-6216	466	4	.	.	PROPN
ejpam-6216	466	5	math	math	PROPN
ejpam-6216	466	6	,	,	PUNCT
ejpam-6216	466	7	18	18	NUM
ejpam-6216	466	8	(	(	PUNCT
ejpam-6216	466	9	4	4	NUM
ejpam-6216	466	10	)	)	PUNCT
ejpam-6216	466	11	(	(	PUNCT
ejpam-6216	466	12	2025	2025	NUM
ejpam-6216	466	13	)	)	PUNCT
ejpam-6216	466	14	,	,	PUNCT
ejpam-6216	466	15	6216	6216	NUM
ejpam-6216	466	16	26	26	NUM
ejpam-6216	466	17	of	of	ADP
ejpam-6216	466	18	36	36	NUM
ejpam-6216	466	19	r1	r1	NOUN
ejpam-6216	466	20	(	(	PUNCT
ejpam-6216	466	21	0.2,−0.1	0.2,−0.1	NOUN
ejpam-6216	466	22	)	)	PUNCT
ejpam-6216	466	23	r2	r2	NOUN
ejpam-6216	466	24	(	(	PUNCT
ejpam-6216	466	25	0.3,−0.3	0.3,−0.3	NOUN
ejpam-6216	466	26	)	)	PUNCT
ejpam-6216	466	27	r3	r3	PROPN
ejpam-6216	466	28	(	(	PUNCT
ejpam-6216	466	29	0.1,−0.3	0.1,−0.3	NUM
ejpam-6216	466	30	)	)	PUNCT
ejpam-6216	466	31	r4	r4	NOUN
ejpam-6216	466	32	(	(	PUNCT
ejpam-6216	466	33	0.4,−0.2	0.4,−0.2	NOUN
ejpam-6216	466	34	)	)	PUNCT
ejpam-6216	466	35	r5	r5	PROPN
ejpam-6216	466	36	(	(	PUNCT
ejpam-6216	466	37	0.3,−0.5	0.3,−0.5	NOUN
ejpam-6216	466	38	)	)	PUNCT
ejpam-6216	466	39	r6	r6	NOUN
ejpam-6216	466	40	(	(	PUNCT
ejpam-6216	466	41	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	466	42	)	)	PUNCT
ejpam-6216	466	43	(	(	PUNCT
ejpam-6216	466	44	0.2	0.2	NUM
ejpam-6216	466	45	,	,	PUNCT
ejpam-6216	466	46	-0.1	-0.1	PROPN
ejpam-6216	466	47	)	)	PUNCT
ejpam-6216	466	48	(	(	PUNCT
ejpam-6216	466	49	0.1	0.1	NUM
ejpam-6216	466	50	,	,	PUNCT
ejpam-6216	466	51	-0.1	-0.1	PROPN
ejpam-6216	466	52	)	)	PUNCT
ejpam-6216	466	53	(	(	PUNCT
ejpam-6216	466	54	0.3	0.3	NUM
ejpam-6216	466	55	,	,	PUNCT
ejpam-6216	466	56	-0.3	-0.3	NUM
ejpam-6216	466	57	)	)	PUNCT
ejpam-6216	466	58	(	(	PUNCT
ejpam-6216	466	59	0.1	0.1	NUM
ejpam-6216	466	60	,	,	PUNCT
ejpam-6216	466	61	-0.2	-0.2	NOUN
ejpam-6216	466	62	)	)	PUNCT
ejpam-6216	466	63	(	(	PUNCT
ejpam-6216	466	64	0.1	0.1	NUM
ejpam-6216	466	65	,	,	PUNCT
ejpam-6216	466	66	-0.2	-0.2	PROPN
ejpam-6216	466	67	)	)	PUNCT
ejpam-6216	466	68	(	(	PUNCT
ejpam-6216	466	69	0.3	0.3	NUM
ejpam-6216	466	70	,	,	PUNCT
ejpam-6216	466	71	-0.2	-0.2	PROPN
ejpam-6216	466	72	)	)	PUNCT
ejpam-6216	466	73	(	(	PUNCT
ejpam-6216	466	74	0.2	0.2	NUM
ejpam-6216	466	75	,	,	PUNCT
ejpam-6216	466	76	-0.1	-0.1	NOUN
ejpam-6216	466	77	)	)	PUNCT
ejpam-6216	466	78	figure	figure	NOUN
ejpam-6216	466	79	10	10	NUM
ejpam-6216	466	80	:	:	PUNCT
ejpam-6216	466	81	γ	γ	X
ejpam-6216	466	82	=	=	SYM
ejpam-6216	466	83	(	(	PUNCT
ejpam-6216	466	84	υw	υw	NOUN
ejpam-6216	466	85	,	,	PUNCT
ejpam-6216	466	86	lλ	lλ	NOUN
ejpam-6216	466	87	)	)	PUNCT
ejpam-6216	466	88	γ	γ	X
ejpam-6216	466	89	=	=	SYM
ejpam-6216	466	90	(	(	PUNCT
ejpam-6216	466	91	γ	γ	X
ejpam-6216	466	92	,	,	PUNCT
ejpam-6216	466	93	γ	γ	NOUN
ejpam-6216	466	94	)	)	PUNCT
ejpam-6216	466	95	is	be	AUX
ejpam-6216	466	96	d	d	NOUN
ejpam-6216	466	97	=	=	PUNCT
ejpam-6216	466	98	{	{	PUNCT
ejpam-6216	466	99	r2	r2	PROPN
ejpam-6216	466	100	,	,	PUNCT
ejpam-6216	466	101	r3	r3	PROPN
ejpam-6216	466	102	}	}	PUNCT
ejpam-6216	466	103	.	.	PUNCT
ejpam-6216	467	1	the	the	DET
ejpam-6216	467	2	lower	low	ADJ
ejpam-6216	467	3	domination	domination	NOUN
ejpam-6216	467	4	number	number	NOUN
ejpam-6216	467	5	is	be	AUX
ejpam-6216	467	6	:	:	PUNCT
ejpam-6216	467	7	ωd(γ	ωd(γ	NUM
ejpam-6216	467	8	)	)	PUNCT
ejpam-6216	467	9	=	=	SYM
ejpam-6216	468	1	1	1	NUM
ejpam-6216	468	2	+	+	CCONJ
ejpam-6216	468	3	(	(	PUNCT
ejpam-6216	468	4	0.3	0.3	NUM
ejpam-6216	468	5	)	)	PUNCT
ejpam-6216	469	1	+	+	CCONJ
ejpam-6216	469	2	(	(	PUNCT
ejpam-6216	469	3	−0.3	−0.3	NUM
ejpam-6216	469	4	)	)	PUNCT
ejpam-6216	469	5	2	2	NUM
ejpam-6216	470	1	+	+	CCONJ
ejpam-6216	470	2	1	1	NUM
ejpam-6216	470	3	+	+	CCONJ
ejpam-6216	470	4	(	(	PUNCT
ejpam-6216	470	5	0.1	0.1	NUM
ejpam-6216	470	6	)	)	PUNCT
ejpam-6216	471	1	+	+	CCONJ
ejpam-6216	471	2	(	(	PUNCT
ejpam-6216	471	3	−0.3	−0.3	NUM
ejpam-6216	471	4	)	)	PUNCT
ejpam-6216	471	5	2	2	NUM
ejpam-6216	472	1	=	=	SYM
ejpam-6216	472	2	0.9	0.9	NUM
ejpam-6216	472	3	the	the	DET
ejpam-6216	472	4	upper	upper	ADJ
ejpam-6216	472	5	domination	domination	NOUN
ejpam-6216	472	6	number	number	NOUN
ejpam-6216	472	7	is	be	AUX
ejpam-6216	472	8	:	:	PUNCT
ejpam-6216	472	9	ωd(γ	ωd(γ	NUM
ejpam-6216	472	10	)	)	PUNCT
ejpam-6216	472	11	=	=	SYM
ejpam-6216	472	12	1	1	NUM
ejpam-6216	472	13	+	+	CCONJ
ejpam-6216	472	14	(	(	PUNCT
ejpam-6216	472	15	0.4	0.4	NUM
ejpam-6216	472	16	)	)	PUNCT
ejpam-6216	473	1	+	+	CCONJ
ejpam-6216	473	2	(	(	PUNCT
ejpam-6216	473	3	−0.5	−0.5	NOUN
ejpam-6216	473	4	)	)	PUNCT
ejpam-6216	473	5	2	2	NUM
ejpam-6216	474	1	+	+	CCONJ
ejpam-6216	474	2	1	1	NUM
ejpam-6216	474	3	+	+	CCONJ
ejpam-6216	474	4	(	(	PUNCT
ejpam-6216	474	5	0.1	0.1	NUM
ejpam-6216	474	6	)	)	PUNCT
ejpam-6216	475	1	+	+	CCONJ
ejpam-6216	475	2	(	(	PUNCT
ejpam-6216	475	3	−0.3	−0.3	NUM
ejpam-6216	475	4	)	)	PUNCT
ejpam-6216	475	5	2	2	NUM
ejpam-6216	475	6	=	=	SYM
ejpam-6216	475	7	0.85	0.85	NUM
ejpam-6216	475	8	the	the	DET
ejpam-6216	475	9	domination	domination	NOUN
ejpam-6216	475	10	number	number	NOUN
ejpam-6216	475	11	is	be	AUX
ejpam-6216	475	12	:	:	PUNCT
ejpam-6216	475	13	ωd(γ	ωd(γ	NUM
ejpam-6216	475	14	)	)	PUNCT
ejpam-6216	475	15	=	=	SYM
ejpam-6216	475	16	ωd(γ	ωd(γ	X
ejpam-6216	475	17	)	)	PUNCT
ejpam-6216	475	18	+	+	NUM
ejpam-6216	475	19	ωd(γ	ωd(γ	X
ejpam-6216	475	20	)	)	PUNCT
ejpam-6216	475	21	=	=	SYM
ejpam-6216	476	1	0.9	0.9	NUM
ejpam-6216	476	2	+	+	CCONJ
ejpam-6216	476	3	0.85	0.85	NUM
ejpam-6216	476	4	=	=	SYM
ejpam-6216	476	5	1.75	1.75	NUM
ejpam-6216	476	6	the	the	DET
ejpam-6216	476	7	mds	mds	PROPN
ejpam-6216	476	8	is	be	AUX
ejpam-6216	476	9	the	the	DET
ejpam-6216	476	10	optimum	optimum	ADJ
ejpam-6216	476	11	set	set	NOUN
ejpam-6216	476	12	of	of	ADP
ejpam-6216	476	13	the	the	DET
ejpam-6216	476	14	minimum	minimum	ADJ
ejpam-6216	476	15	number	number	NOUN
ejpam-6216	476	16	of	of	ADP
ejpam-6216	476	17	rural	rural	ADJ
ejpam-6216	476	18	areas	area	NOUN
ejpam-6216	476	19	that	that	PRON
ejpam-6216	476	20	can	can	AUX
ejpam-6216	476	21	supply	supply	VERB
ejpam-6216	476	22	the	the	DET
ejpam-6216	476	23	medicines	medicine	NOUN
ejpam-6216	476	24	to	to	ADP
ejpam-6216	476	25	the	the	DET
ejpam-6216	476	26	other	other	ADJ
ejpam-6216	476	27	rural	rural	ADJ
ejpam-6216	476	28	areas	area	NOUN
ejpam-6216	476	29	in	in	ADP
ejpam-6216	476	30	the	the	DET
ejpam-6216	476	31	most	most	ADV
ejpam-6216	476	32	cost	cost	NOUN
ejpam-6216	476	33	-	-	PUNCT
ejpam-6216	476	34	effective	effective	ADJ
ejpam-6216	476	35	manner	manner	NOUN
ejpam-6216	476	36	.	.	PUNCT
ejpam-6216	477	1	the	the	DET
ejpam-6216	477	2	domination	domination	NOUN
ejpam-6216	477	3	number	number	NOUN
ejpam-6216	477	4	of	of	ADP
ejpam-6216	477	5	bfrd	bfrd	NOUN
ejpam-6216	477	6	shows	show	VERB
ejpam-6216	477	7	that	that	SCONJ
ejpam-6216	477	8	the	the	DET
ejpam-6216	477	9	net	net	ADJ
ejpam-6216	477	10	cost	cost	NOUN
ejpam-6216	477	11	to	to	PART
ejpam-6216	477	12	supply	supply	VERB
ejpam-6216	477	13	medicines	medicine	NOUN
ejpam-6216	477	14	to	to	ADP
ejpam-6216	477	15	the	the	DET
ejpam-6216	477	16	rural	rural	ADJ
ejpam-6216	477	17	areas	area	NOUN
ejpam-6216	477	18	of	of	ADP
ejpam-6216	477	19	the	the	DET
ejpam-6216	477	20	a.	a.	NOUN
ejpam-6216	477	21	arif	arif	PROPN
ejpam-6216	477	22	et	et	PROPN
ejpam-6216	477	23	al	al	PROPN
ejpam-6216	477	24	.	.	PUNCT
ejpam-6216	477	25	/	/	SYM
ejpam-6216	477	26	eur	eur	PROPN
ejpam-6216	477	27	.	.	PUNCT
ejpam-6216	478	1	j.	j.	PROPN
ejpam-6216	478	2	pure	pure	PROPN
ejpam-6216	478	3	appl	appl	PROPN
ejpam-6216	478	4	.	.	PROPN
ejpam-6216	478	5	math	math	PROPN
ejpam-6216	478	6	,	,	PUNCT
ejpam-6216	478	7	18	18	NUM
ejpam-6216	478	8	(	(	PUNCT
ejpam-6216	478	9	4	4	NUM
ejpam-6216	478	10	)	)	PUNCT
ejpam-6216	478	11	(	(	PUNCT
ejpam-6216	478	12	2025	2025	NUM
ejpam-6216	478	13	)	)	PUNCT
ejpam-6216	478	14	,	,	PUNCT
ejpam-6216	478	15	6216	6216	NUM
ejpam-6216	478	16	27	27	NUM
ejpam-6216	478	17	of	of	ADP
ejpam-6216	478	18	36	36	NUM
ejpam-6216	478	19	r1	r1	PROPN
ejpam-6216	478	20	(	(	PUNCT
ejpam-6216	478	21	0.4,−0.3	0.4,−0.3	NUM
ejpam-6216	478	22	)	)	PUNCT
ejpam-6216	478	23	r2	r2	NOUN
ejpam-6216	478	24	(	(	PUNCT
ejpam-6216	478	25	0.4,−0.5	0.4,−0.5	NOUN
ejpam-6216	478	26	)	)	PUNCT
ejpam-6216	478	27	r3	r3	PROPN
ejpam-6216	478	28	(	(	PUNCT
ejpam-6216	478	29	0.3,−0.4	0.3,−0.4	NOUN
ejpam-6216	478	30	)	)	PUNCT
ejpam-6216	478	31	r4	r4	NOUN
ejpam-6216	478	32	(	(	PUNCT
ejpam-6216	478	33	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	478	34	)	)	PUNCT
ejpam-6216	478	35	r5	r5	PROPN
ejpam-6216	478	36	(	(	PUNCT
ejpam-6216	478	37	0.4,−0.5	0.4,−0.5	NOUN
ejpam-6216	478	38	)	)	PUNCT
ejpam-6216	478	39	r6	r6	NOUN
ejpam-6216	478	40	(	(	PUNCT
ejpam-6216	478	41	0.4,−0.4	0.4,−0.4	NUM
ejpam-6216	478	42	)	)	PUNCT
ejpam-6216	478	43	(	(	PUNCT
ejpam-6216	478	44	0.2	0.2	NUM
ejpam-6216	478	45	,	,	PUNCT
ejpam-6216	478	46	-0.2	-0.2	NOUN
ejpam-6216	478	47	)	)	PUNCT
ejpam-6216	478	48	(	(	PUNCT
ejpam-6216	478	49	0.3	0.3	NUM
ejpam-6216	478	50	,	,	PUNCT
ejpam-6216	478	51	-0.3	-0.3	NUM
ejpam-6216	478	52	)	)	PUNCT
ejpam-6216	478	53	(	(	PUNCT
ejpam-6216	478	54	0.3	0.3	NUM
ejpam-6216	478	55	,	,	PUNCT
ejpam-6216	478	56	-0.3	-0.3	NUM
ejpam-6216	478	57	)	)	PUNCT
ejpam-6216	478	58	(	(	PUNCT
ejpam-6216	478	59	0.1	0.1	NUM
ejpam-6216	478	60	,	,	PUNCT
ejpam-6216	478	61	-0.3	-0.3	NUM
ejpam-6216	478	62	)	)	PUNCT
ejpam-6216	478	63	(	(	PUNCT
ejpam-6216	478	64	0.3	0.3	NUM
ejpam-6216	478	65	,	,	PUNCT
ejpam-6216	478	66	-0.2	-0.2	PROPN
ejpam-6216	478	67	)	)	PUNCT
ejpam-6216	478	68	(	(	PUNCT
ejpam-6216	478	69	0.3	0.3	NUM
ejpam-6216	478	70	,	,	PUNCT
ejpam-6216	478	71	-0.2	-0.2	PROPN
ejpam-6216	478	72	)	)	PUNCT
ejpam-6216	478	73	(	(	PUNCT
ejpam-6216	478	74	0.3	0.3	NUM
ejpam-6216	478	75	,	,	PUNCT
ejpam-6216	478	76	-0.3	-0.3	NUM
ejpam-6216	478	77	)	)	PUNCT
ejpam-6216	478	78	figure	figure	NOUN
ejpam-6216	478	79	11	11	NUM
ejpam-6216	478	80	:	:	PUNCT
ejpam-6216	478	81	γ	γ	X
ejpam-6216	478	82	=	=	SYM
ejpam-6216	478	83	(	(	PUNCT
ejpam-6216	478	84	υw	υw	ADJ
ejpam-6216	478	85	,	,	PUNCT
ejpam-6216	478	86	lλ	lλ	NOUN
ejpam-6216	478	87	)	)	PUNCT
ejpam-6216	478	88	mds	mds	PROPN
ejpam-6216	478	89	.	.	PUNCT
ejpam-6216	479	1	our	our	PRON
ejpam-6216	479	2	analysis	analysis	NOUN
ejpam-6216	479	3	of	of	ADP
ejpam-6216	479	4	the	the	DET
ejpam-6216	479	5	rural	rural	ADJ
ejpam-6216	479	6	medicine	medicine	NOUN
ejpam-6216	479	7	supply	supply	NOUN
ejpam-6216	479	8	network	network	NOUN
ejpam-6216	479	9	yielded	yield	VERB
ejpam-6216	479	10	a	a	DET
ejpam-6216	479	11	clear	clear	ADJ
ejpam-6216	479	12	and	and	CCONJ
ejpam-6216	479	13	actionable	actionable	ADJ
ejpam-6216	479	14	strategic	strategic	ADJ
ejpam-6216	479	15	plan	plan	NOUN
ejpam-6216	479	16	.	.	PUNCT
ejpam-6216	480	1	the	the	DET
ejpam-6216	480	2	algorithm	algorithm	NOUN
ejpam-6216	480	3	identified	identify	VERB
ejpam-6216	480	4	the	the	DET
ejpam-6216	480	5	mds	mds	NOUN
ejpam-6216	480	6	as	as	ADP
ejpam-6216	480	7	d	d	PROPN
ejpam-6216	480	8	=	=	PRON
ejpam-6216	480	9	{	{	PUNCT
ejpam-6216	480	10	r2	r2	PROPN
ejpam-6216	480	11	,	,	PUNCT
ejpam-6216	480	12	r3	r3	PROPN
ejpam-6216	480	13	}	}	PUNCT
ejpam-6216	480	14	with	with	ADP
ejpam-6216	480	15	an	an	DET
ejpam-6216	480	16	overall	overall	ADJ
ejpam-6216	480	17	domination	domination	NOUN
ejpam-6216	480	18	number	number	NOUN
ejpam-6216	480	19	of	of	ADP
ejpam-6216	480	20	1.75	1.75	NUM
ejpam-6216	480	21	.	.	PUNCT
ejpam-6216	481	1	it	it	PRON
ejpam-6216	481	2	means	mean	VERB
ejpam-6216	481	3	that	that	SCONJ
ejpam-6216	481	4	he	he	PRON
ejpam-6216	481	5	selection	selection	NOUN
ejpam-6216	481	6	of	of	ADP
ejpam-6216	481	7	{	{	PUNCT
ejpam-6216	481	8	r2	r2	PROPN
ejpam-6216	481	9	,	,	PUNCT
ejpam-6216	481	10	r3	r3	PROPN
ejpam-6216	481	11	}	}	PUNCT
ejpam-6216	481	12	as	as	SCONJ
ejpam-6216	481	13	the	the	DET
ejpam-6216	481	14	optimal	optimal	ADJ
ejpam-6216	481	15	set	set	NOUN
ejpam-6216	481	16	of	of	ADP
ejpam-6216	481	17	supply	supply	NOUN
ejpam-6216	481	18	hubs	hub	NOUN
ejpam-6216	481	19	is	be	AUX
ejpam-6216	481	20	not	not	PART
ejpam-6216	481	21	arbitrary	arbitrary	ADJ
ejpam-6216	481	22	;	;	PUNCT
ejpam-6216	481	23	it	it	PRON
ejpam-6216	481	24	is	be	AUX
ejpam-6216	481	25	a	a	DET
ejpam-6216	481	26	direct	direct	ADJ
ejpam-6216	481	27	result	result	NOUN
ejpam-6216	481	28	of	of	ADP
ejpam-6216	481	29	their	their	PRON
ejpam-6216	481	30	strategic	strategic	ADJ
ejpam-6216	481	31	position	position	NOUN
ejpam-6216	481	32	within	within	ADP
ejpam-6216	481	33	the	the	DET
ejpam-6216	481	34	bipolar	bipolar	ADJ
ejpam-6216	481	35	fuzzy	fuzzy	ADJ
ejpam-6216	481	36	rough	rough	ADJ
ejpam-6216	481	37	digraph	digraph	NOUN
ejpam-6216	481	38	.	.	PUNCT
ejpam-6216	482	1	these	these	DET
ejpam-6216	482	2	two	two	NUM
ejpam-6216	482	3	locations	location	NOUN
ejpam-6216	482	4	were	be	AUX
ejpam-6216	482	5	identified	identify	VERB
ejpam-6216	482	6	as	as	ADP
ejpam-6216	482	7	the	the	DET
ejpam-6216	482	8	strongest	strong	ADJ
ejpam-6216	482	9	positive	positive	ADJ
ejpam-6216	482	10	dominators	dominator	NOUN
ejpam-6216	482	11	,	,	PUNCT
ejpam-6216	482	12	meaning	mean	VERB
ejpam-6216	482	13	they	they	PRON
ejpam-6216	482	14	possess	possess	VERB
ejpam-6216	482	15	the	the	DET
ejpam-6216	482	16	most	most	ADV
ejpam-6216	482	17	effective	effective	ADJ
ejpam-6216	482	18	combination	combination	NOUN
ejpam-6216	482	19	of	of	ADP
ejpam-6216	482	20	high	high	ADJ
ejpam-6216	482	21	supply	supply	NOUN
ejpam-6216	482	22	capacity	capacity	NOUN
ejpam-6216	482	23	which	which	PRON
ejpam-6216	482	24	means	mean	VERB
ejpam-6216	482	25	they	they	PRON
ejpam-6216	482	26	have	have	VERB
ejpam-6216	482	27	a	a	DET
ejpam-6216	482	28	strong	strong	ADJ
ejpam-6216	482	29	positive	positive	ADJ
ejpam-6216	482	30	capacity	capacity	NOUN
ejpam-6216	482	31	to	to	PART
ejpam-6216	482	32	serve	serve	VERB
ejpam-6216	482	33	other	other	ADJ
ejpam-6216	482	34	areas	area	NOUN
ejpam-6216	482	35	and	and	CCONJ
ejpam-6216	482	36	their	their	PRON
ejpam-6216	482	37	connections	connection	NOUN
ejpam-6216	482	38	to	to	ADP
ejpam-6216	482	39	other	other	ADJ
ejpam-6216	482	40	areas	area	NOUN
ejpam-6216	482	41	are	be	AUX
ejpam-6216	482	42	characterized	characterize	VERB
ejpam-6216	482	43	by	by	ADP
ejpam-6216	482	44	high	high	ADJ
ejpam-6216	482	45	positive	positive	ADJ
ejpam-6216	482	46	weights	weight	NOUN
ejpam-6216	482	47	(	(	PUNCT
ejpam-6216	482	48	representing	represent	VERB
ejpam-6216	482	49	efficiency	efficiency	NOUN
ejpam-6216	482	50	)	)	PUNCT
ejpam-6216	482	51	and	and	CCONJ
ejpam-6216	482	52	low	low	ADJ
ejpam-6216	482	53	negative	negative	ADJ
ejpam-6216	482	54	weights	weight	NOUN
ejpam-6216	482	55	(	(	PUNCT
ejpam-6216	482	56	representing	represent	VERB
ejpam-6216	482	57	minimal	minimal	ADJ
ejpam-6216	482	58	uncertainty	uncertainty	NOUN
ejpam-6216	482	59	or	or	CCONJ
ejpam-6216	482	60	risk	risk	NOUN
ejpam-6216	482	61	)	)	PUNCT
ejpam-6216	482	62	.	.	PUNCT
ejpam-6216	483	1	in	in	ADP
ejpam-6216	483	2	practical	practical	ADJ
ejpam-6216	483	3	terms	term	NOUN
ejpam-6216	483	4	,	,	PUNCT
ejpam-6216	483	5	r2	r2	PROPN
ejpam-6216	483	6	might	might	AUX
ejpam-6216	483	7	be	be	AUX
ejpam-6216	483	8	located	locate	VERB
ejpam-6216	483	9	at	at	ADP
ejpam-6216	483	10	a	a	DET
ejpam-6216	483	11	major	major	ADJ
ejpam-6216	483	12	highway	highway	NOUN
ejpam-6216	483	13	intersection	intersection	NOUN
ejpam-6216	483	14	,	,	PUNCT
ejpam-6216	483	15	ensuring	ensure	VERB
ejpam-6216	483	16	reliable	reliable	ADJ
ejpam-6216	483	17	transport	transport	NOUN
ejpam-6216	483	18	,	,	PUNCT
ejpam-6216	483	19	while	while	SCONJ
ejpam-6216	483	20	r3	r3	PROPN
ejpam-6216	483	21	might	might	AUX
ejpam-6216	483	22	have	have	VERB
ejpam-6216	483	23	superior	superior	ADJ
ejpam-6216	483	24	storage	storage	NOUN
ejpam-6216	483	25	infrastructure	infrastructure	NOUN
ejpam-6216	483	26	.	.	PUNCT
ejpam-6216	484	1	our	our	PRON
ejpam-6216	484	2	model	model	NOUN
ejpam-6216	484	3	prioritizes	prioritize	VERB
ejpam-6216	484	4	these	these	DET
ejpam-6216	484	5	locations	location	NOUN
ejpam-6216	484	6	over	over	ADP
ejpam-6216	484	7	others	other	NOUN
ejpam-6216	484	8	that	that	PRON
ejpam-6216	484	9	might	might	AUX
ejpam-6216	484	10	be	be	AUX
ejpam-6216	484	11	more	more	ADV
ejpam-6216	484	12	geographically	geographically	ADV
ejpam-6216	484	13	central	central	ADJ
ejpam-6216	484	14	but	but	CCONJ
ejpam-6216	484	15	have	have	VERB
ejpam-6216	484	16	less	less	ADV
ejpam-6216	484	17	reliable	reliable	ADJ
ejpam-6216	484	18	supply	supply	NOUN
ejpam-6216	484	19	lines	line	NOUN
ejpam-6216	484	20	.	.	PUNCT
ejpam-6216	485	1	by	by	ADP
ejpam-6216	485	2	identifying	identify	VERB
ejpam-6216	485	3	a	a	DET
ejpam-6216	485	4	minimum	minimum	ADJ
ejpam-6216	485	5	dominating	dominating	NOUN
ejpam-6216	485	6	set	set	NOUN
ejpam-6216	485	7	of	of	ADP
ejpam-6216	485	8	just	just	ADV
ejpam-6216	485	9	two	two	NUM
ejpam-6216	485	10	locations	location	NOUN
ejpam-6216	485	11	,	,	PUNCT
ejpam-6216	485	12	the	the	DET
ejpam-6216	485	13	company	company	NOUN
ejpam-6216	485	14	can	can	AUX
ejpam-6216	485	15	avoid	avoid	VERB
ejpam-6216	485	16	the	the	DET
ejpam-6216	485	17	significant	significant	ADJ
ejpam-6216	485	18	expense	expense	NOUN
ejpam-6216	485	19	of	of	ADP
ejpam-6216	485	20	establishing	establish	VERB
ejpam-6216	485	21	depots	depot	NOUN
ejpam-6216	485	22	in	in	ADP
ejpam-6216	485	23	three	three	NUM
ejpam-6216	485	24	,	,	PUNCT
ejpam-6216	485	25	four	four	NUM
ejpam-6216	485	26	,	,	PUNCT
ejpam-6216	485	27	or	or	CCONJ
ejpam-6216	485	28	more	more	ADJ
ejpam-6216	485	29	areas	area	NOUN
ejpam-6216	485	30	.	.	PUNCT
ejpam-6216	486	1	this	this	DET
ejpam-6216	486	2	centralization	centralization	NOUN
ejpam-6216	486	3	drastically	drastically	ADV
ejpam-6216	486	4	reduces	reduce	VERB
ejpam-6216	486	5	costs	cost	NOUN
ejpam-6216	486	6	related	relate	VERB
ejpam-6216	486	7	to	to	ADP
ejpam-6216	486	8	infrastructure	infrastructure	NOUN
ejpam-6216	486	9	,	,	PUNCT
ejpam-6216	486	10	staffing	staffing	NOUN
ejpam-6216	486	11	,	,	PUNCT
ejpam-6216	486	12	inventory	inventory	NOUN
ejpam-6216	486	13	management	management	NOUN
ejpam-6216	486	14	,	,	PUNCT
ejpam-6216	486	15	and	and	CCONJ
ejpam-6216	486	16	bulk	bulk	ADJ
ejpam-6216	486	17	transportation	transportation	NOUN
ejpam-6216	486	18	,	,	PUNCT
ejpam-6216	486	19	thereby	thereby	ADV
ejpam-6216	486	20	maximizing	maximize	VERB
ejpam-6216	486	21	the	the	DET
ejpam-6216	486	22	return	return	NOUN
ejpam-6216	486	23	on	on	ADP
ejpam-6216	486	24	investment	investment	NOUN
ejpam-6216	486	25	.	.	PUNCT
ejpam-6216	487	1	in	in	ADP
ejpam-6216	487	2	summary	summary	NOUN
ejpam-6216	487	3	,	,	PUNCT
ejpam-6216	487	4	the	the	DET
ejpam-6216	487	5	results	result	NOUN
ejpam-6216	487	6	of	of	ADP
ejpam-6216	487	7	our	our	PRON
ejpam-6216	487	8	bfrd	bfrd	NOUN
ejpam-6216	487	9	model	model	NOUN
ejpam-6216	487	10	go	go	VERB
ejpam-6216	487	11	beyond	beyond	ADP
ejpam-6216	487	12	simply	simply	ADV
ejpam-6216	487	13	identifying	identify	VERB
ejpam-6216	487	14	important	important	ADJ
ejpam-6216	487	15	a.	a.	NOUN
ejpam-6216	487	16	arif	arif	PROPN
ejpam-6216	487	17	et	et	PROPN
ejpam-6216	487	18	al	al	PROPN
ejpam-6216	487	19	.	.	PUNCT
ejpam-6216	487	20	/	/	SYM
ejpam-6216	487	21	eur	eur	PROPN
ejpam-6216	487	22	.	.	PUNCT
ejpam-6216	488	1	j.	j.	PROPN
ejpam-6216	488	2	pure	pure	PROPN
ejpam-6216	488	3	appl	appl	PROPN
ejpam-6216	488	4	.	.	PROPN
ejpam-6216	488	5	math	math	PROPN
ejpam-6216	488	6	,	,	PUNCT
ejpam-6216	488	7	18	18	NUM
ejpam-6216	488	8	(	(	PUNCT
ejpam-6216	488	9	4	4	NUM
ejpam-6216	488	10	)	)	PUNCT
ejpam-6216	488	11	(	(	PUNCT
ejpam-6216	488	12	2025	2025	NUM
ejpam-6216	488	13	)	)	PUNCT
ejpam-6216	488	14	,	,	PUNCT
ejpam-6216	488	15	6216	6216	NUM
ejpam-6216	488	16	28	28	NUM
ejpam-6216	488	17	of	of	ADP
ejpam-6216	488	18	36	36	NUM
ejpam-6216	488	19	nodes	node	NOUN
ejpam-6216	488	20	;	;	PUNCT
ejpam-6216	488	21	they	they	PRON
ejpam-6216	488	22	provide	provide	VERB
ejpam-6216	488	23	a	a	DET
ejpam-6216	488	24	multi	multi	ADJ
ejpam-6216	488	25	-	-	ADJ
ejpam-6216	488	26	faceted	faceted	ADJ
ejpam-6216	488	27	,	,	PUNCT
ejpam-6216	488	28	evidence	evidence	NOUN
ejpam-6216	488	29	-	-	PUNCT
ejpam-6216	488	30	based	base	VERB
ejpam-6216	488	31	strategy	strategy	NOUN
ejpam-6216	488	32	for	for	ADP
ejpam-6216	488	33	optimizing	optimize	VERB
ejpam-6216	488	34	a	a	DET
ejpam-6216	488	35	supply	supply	NOUN
ejpam-6216	488	36	chain	chain	NOUN
ejpam-6216	488	37	,	,	PUNCT
ejpam-6216	488	38	managing	manage	VERB
ejpam-6216	488	39	risk	risk	NOUN
ejpam-6216	488	40	,	,	PUNCT
ejpam-6216	488	41	and	and	CCONJ
ejpam-6216	488	42	minimizing	minimize	VERB
ejpam-6216	488	43	operational	operational	ADJ
ejpam-6216	488	44	costs	cost	NOUN
ejpam-6216	488	45	.	.	PUNCT
ejpam-6216	489	1	the	the	DET
ejpam-6216	489	2	algorithm	algorithm	NOUN
ejpam-6216	489	3	of	of	ADP
ejpam-6216	489	4	the	the	DET
ejpam-6216	489	5	proposed	propose	VERB
ejpam-6216	489	6	method	method	NOUN
ejpam-6216	489	7	is	be	AUX
ejpam-6216	489	8	given	give	VERB
ejpam-6216	489	9	in	in	ADP
ejpam-6216	489	10	table	table	NOUN
ejpam-6216	489	11	10	10	NUM
ejpam-6216	489	12	.	.	PUNCT
ejpam-6216	490	1	4.2	4.2	NUM
ejpam-6216	490	2	.	.	PUNCT
ejpam-6216	491	1	a	a	DET
ejpam-6216	491	2	comparison	comparison	NOUN
ejpam-6216	491	3	of	of	ADP
ejpam-6216	491	4	bipolar	bipolar	ADJ
ejpam-6216	491	5	fuzzy	fuzzy	ADJ
ejpam-6216	491	6	rough	rough	ADJ
ejpam-6216	491	7	digraph	digraph	NOUN
ejpam-6216	491	8	and	and	CCONJ
ejpam-6216	491	9	fuzzy	fuzzy	ADJ
ejpam-6216	491	10	rough	rough	ADJ
ejpam-6216	491	11	digraph	digraph	NOUN
ejpam-6216	491	12	to	to	PART
ejpam-6216	491	13	clarify	clarify	VERB
ejpam-6216	491	14	the	the	DET
ejpam-6216	491	15	incremental	incremental	ADJ
ejpam-6216	491	16	contribution	contribution	NOUN
ejpam-6216	491	17	of	of	ADP
ejpam-6216	491	18	our	our	PRON
ejpam-6216	491	19	work	work	NOUN
ejpam-6216	491	20	,	,	PUNCT
ejpam-6216	491	21	this	this	DET
ejpam-6216	491	22	section	section	NOUN
ejpam-6216	491	23	provides	provide	VERB
ejpam-6216	491	24	a	a	DET
ejpam-6216	491	25	direct	direct	ADJ
ejpam-6216	491	26	comparison	comparison	NOUN
ejpam-6216	491	27	between	between	ADP
ejpam-6216	491	28	the	the	DET
ejpam-6216	491	29	analytical	analytical	ADJ
ejpam-6216	491	30	process	process	NOUN
ejpam-6216	491	31	of	of	ADP
ejpam-6216	491	32	existing	exist	VERB
ejpam-6216	491	33	fuzzy	fuzzy	ADJ
ejpam-6216	491	34	rough	rough	ADJ
ejpam-6216	491	35	domination	domination	NOUN
ejpam-6216	491	36	(	(	PUNCT
ejpam-6216	491	37	frd	frd	ADJ
ejpam-6216	491	38	)	)	PUNCT
ejpam-6216	491	39	models	model	NOUN
ejpam-6216	491	40	and	and	CCONJ
ejpam-6216	491	41	our	our	PRON
ejpam-6216	491	42	proposed	propose	VERB
ejpam-6216	491	43	bipolar	bipolar	ADJ
ejpam-6216	491	44	fuzzy	fuzzy	ADJ
ejpam-6216	491	45	rough	rough	ADJ
ejpam-6216	491	46	domination	domination	NOUN
ejpam-6216	491	47	(	(	PUNCT
ejpam-6216	491	48	bfrd	bfrd	NOUN
ejpam-6216	491	49	)	)	PUNCT
ejpam-6216	491	50	methodology	methodology	NOUN
ejpam-6216	491	51	.	.	PUNCT
ejpam-6216	492	1	4.2.1	4.2.1	NOUN
ejpam-6216	492	2	.	.	PUNCT
ejpam-6216	493	1	the	the	DET
ejpam-6216	493	2	process	process	NOUN
ejpam-6216	493	3	and	and	CCONJ
ejpam-6216	493	4	limitations	limitation	NOUN
ejpam-6216	493	5	of	of	ADP
ejpam-6216	493	6	existing	exist	VERB
ejpam-6216	493	7	fuzzy	fuzzy	ADJ
ejpam-6216	493	8	rough	rough	ADJ
ejpam-6216	493	9	digraph	digraph	NOUN
ejpam-6216	493	10	domination	domination	NOUN
ejpam-6216	493	11	existing	exist	VERB
ejpam-6216	493	12	models	model	NOUN
ejpam-6216	493	13	for	for	ADP
ejpam-6216	493	14	domination	domination	NOUN
ejpam-6216	493	15	in	in	ADP
ejpam-6216	493	16	fuzzy	fuzzy	ADJ
ejpam-6216	493	17	rough	rough	ADJ
ejpam-6216	493	18	digraphs	digraph	NOUN
ejpam-6216	493	19	follow	follow	VERB
ejpam-6216	493	20	a	a	DET
ejpam-6216	493	21	single	single	ADJ
ejpam-6216	493	22	-	-	PUNCT
ejpam-6216	493	23	channel	channel	NOUN
ejpam-6216	493	24	process	process	NOUN
ejpam-6216	493	25	.	.	PUNCT
ejpam-6216	494	1	they	they	PRON
ejpam-6216	494	2	model	model	VERB
ejpam-6216	494	3	a	a	DET
ejpam-6216	494	4	network	network	NOUN
ejpam-6216	494	5	using	use	VERB
ejpam-6216	494	6	one	one	NUM
ejpam-6216	494	7	fuzzy	fuzzy	ADJ
ejpam-6216	494	8	value	value	NOUN
ejpam-6216	494	9	per	per	ADP
ejpam-6216	494	10	relationship	relationship	NOUN
ejpam-6216	494	11	to	to	PART
ejpam-6216	494	12	represent	represent	VERB
ejpam-6216	494	13	its	its	PRON
ejpam-6216	494	14	strength	strength	NOUN
ejpam-6216	494	15	.	.	PUNCT
ejpam-6216	495	1	the	the	DET
ejpam-6216	495	2	analysis	analysis	NOUN
ejpam-6216	495	3	then	then	ADV
ejpam-6216	495	4	computes	compute	VERB
ejpam-6216	495	5	a	a	DET
ejpam-6216	495	6	single	single	ADJ
ejpam-6216	495	7	lower	low	ADJ
ejpam-6216	495	8	and	and	CCONJ
ejpam-6216	495	9	upper	upper	ADJ
ejpam-6216	495	10	approximation	approximation	NOUN
ejpam-6216	495	11	of	of	ADP
ejpam-6216	495	12	the	the	DET
ejpam-6216	495	13	graph	graph	NOUN
ejpam-6216	495	14	to	to	PART
ejpam-6216	495	15	identify	identify	VERB
ejpam-6216	495	16	a	a	DET
ejpam-6216	495	17	minimum	minimum	ADJ
ejpam-6216	495	18	dominating	dominating	NOUN
ejpam-6216	495	19	set	set	NOUN
ejpam-6216	495	20	.	.	PUNCT
ejpam-6216	496	1	the	the	DET
ejpam-6216	496	2	critical	critical	ADJ
ejpam-6216	496	3	limitation	limitation	NOUN
ejpam-6216	496	4	of	of	ADP
ejpam-6216	496	5	this	this	DET
ejpam-6216	496	6	process	process	NOUN
ejpam-6216	496	7	is	be	AUX
ejpam-6216	496	8	the	the	DET
ejpam-6216	496	9	ambiguity	ambiguity	NOUN
ejpam-6216	496	10	of	of	ADP
ejpam-6216	496	11	its	its	PRON
ejpam-6216	496	12	output	output	NOUN
ejpam-6216	496	13	.	.	PUNCT
ejpam-6216	497	1	while	while	SCONJ
ejpam-6216	497	2	it	it	PRON
ejpam-6216	497	3	can	can	AUX
ejpam-6216	497	4	identify	identify	VERB
ejpam-6216	497	5	a	a	DET
ejpam-6216	497	6	set	set	NOUN
ejpam-6216	497	7	of	of	ADP
ejpam-6216	497	8	influential	influential	ADJ
ejpam-6216	497	9	nodes	node	NOUN
ejpam-6216	497	10	,	,	PUNCT
ejpam-6216	497	11	it	it	PRON
ejpam-6216	497	12	provides	provide	VERB
ejpam-6216	497	13	no	no	DET
ejpam-6216	497	14	information	information	NOUN
ejpam-6216	497	15	about	about	ADP
ejpam-6216	497	16	the	the	DET
ejpam-6216	497	17	nature	nature	NOUN
ejpam-6216	497	18	of	of	ADP
ejpam-6216	497	19	that	that	DET
ejpam-6216	497	20	influence	influence	NOUN
ejpam-6216	497	21	.	.	PUNCT
ejpam-6216	498	1	a	a	DET
ejpam-6216	498	2	node	node	NOUN
ejpam-6216	498	3	identified	identify	VERB
ejpam-6216	498	4	as	as	ADP
ejpam-6216	498	5	”	"	PUNCT
ejpam-6216	498	6	dominant	dominant	NOUN
ejpam-6216	498	7	”	"	PUNCT
ejpam-6216	498	8	could	could	AUX
ejpam-6216	498	9	be	be	AUX
ejpam-6216	498	10	a	a	DET
ejpam-6216	498	11	positive	positive	ADJ
ejpam-6216	498	12	leader	leader	NOUN
ejpam-6216	498	13	or	or	CCONJ
ejpam-6216	498	14	a	a	DET
ejpam-6216	498	15	negative	negative	ADJ
ejpam-6216	498	16	bottleneck	bottleneck	NOUN
ejpam-6216	498	17	,	,	PUNCT
ejpam-6216	498	18	but	but	CCONJ
ejpam-6216	498	19	the	the	DET
ejpam-6216	498	20	model	model	NOUN
ejpam-6216	498	21	can	can	AUX
ejpam-6216	498	22	not	not	PART
ejpam-6216	498	23	distinguish	distinguish	VERB
ejpam-6216	498	24	between	between	ADP
ejpam-6216	498	25	the	the	DET
ejpam-6216	498	26	two	two	NUM
ejpam-6216	498	27	,	,	PUNCT
ejpam-6216	498	28	leaving	leave	VERB
ejpam-6216	498	29	decision	decision	NOUN
ejpam-6216	498	30	-	-	PUNCT
ejpam-6216	498	31	makers	maker	NOUN
ejpam-6216	498	32	with	with	ADP
ejpam-6216	498	33	an	an	DET
ejpam-6216	498	34	incomplete	incomplete	ADJ
ejpam-6216	498	35	picture	picture	NOUN
ejpam-6216	498	36	.	.	PUNCT
ejpam-6216	499	1	4.2.2	4.2.2	X
ejpam-6216	499	2	.	.	PUNCT
ejpam-6216	500	1	the	the	DET
ejpam-6216	500	2	incremental	incremental	ADJ
ejpam-6216	500	3	contribution	contribution	NOUN
ejpam-6216	500	4	of	of	ADP
ejpam-6216	500	5	the	the	DET
ejpam-6216	500	6	proposed	propose	VERB
ejpam-6216	500	7	bfrd	bfrd	NOUN
ejpam-6216	500	8	algorithm	algorithm	NOUN
ejpam-6216	500	9	our	our	PRON
ejpam-6216	500	10	proposed	propose	VERB
ejpam-6216	500	11	methodology	methodology	NOUN
ejpam-6216	500	12	,	,	PUNCT
ejpam-6216	500	13	detailed	detail	VERB
ejpam-6216	500	14	in	in	ADP
ejpam-6216	500	15	the	the	DET
ejpam-6216	500	16	algorithm	algorithm	NOUN
ejpam-6216	500	17	table	table	NOUN
ejpam-6216	500	18	10	10	NUM
ejpam-6216	500	19	,	,	PUNCT
ejpam-6216	500	20	introduces	introduce	VERB
ejpam-6216	500	21	a	a	DET
ejpam-6216	500	22	dual	dual	ADJ
ejpam-6216	500	23	-	-	PUNCT
ejpam-6216	500	24	channel	channel	NOUN
ejpam-6216	500	25	analytical	analytical	ADJ
ejpam-6216	500	26	process	process	NOUN
ejpam-6216	500	27	that	that	PRON
ejpam-6216	500	28	provides	provide	VERB
ejpam-6216	500	29	a	a	DET
ejpam-6216	500	30	far	far	ADV
ejpam-6216	500	31	richer	rich	ADJ
ejpam-6216	500	32	and	and	CCONJ
ejpam-6216	500	33	more	more	ADV
ejpam-6216	500	34	actionable	actionable	ADJ
ejpam-6216	500	35	output	output	NOUN
ejpam-6216	500	36	.	.	PUNCT
ejpam-6216	501	1	the	the	DET
ejpam-6216	501	2	incremental	incremental	ADJ
ejpam-6216	501	3	contribution	contribution	NOUN
ejpam-6216	501	4	is	be	AUX
ejpam-6216	501	5	embedded	embed	VERB
ejpam-6216	501	6	in	in	ADP
ejpam-6216	501	7	the	the	DET
ejpam-6216	501	8	specific	specific	ADJ
ejpam-6216	501	9	steps	step	NOUN
ejpam-6216	501	10	of	of	ADP
ejpam-6216	501	11	our	our	PRON
ejpam-6216	501	12	algorithm	algorithm	NOUN
ejpam-6216	501	13	:	:	PUNCT
ejpam-6216	501	14	(	(	PUNCT
ejpam-6216	501	15	i	i	NOUN
ejpam-6216	501	16	)	)	PUNCT
ejpam-6216	501	17	unlike	unlike	ADP
ejpam-6216	501	18	frd	frd	ADJ
ejpam-6216	501	19	models	model	NOUN
ejpam-6216	501	20	,	,	PUNCT
ejpam-6216	501	21	our	our	PRON
ejpam-6216	501	22	algorithm	algorithm	NOUN
ejpam-6216	501	23	begins	begin	VERB
ejpam-6216	501	24	by	by	ADP
ejpam-6216	501	25	capturing	capture	VERB
ejpam-6216	501	26	both	both	CCONJ
ejpam-6216	501	27	positive	positive	ADJ
ejpam-6216	501	28	and	and	CCONJ
ejpam-6216	501	29	negative	negative	ADJ
ejpam-6216	501	30	influences	influence	NOUN
ejpam-6216	501	31	explicitly	explicitly	ADV
ejpam-6216	501	32	,	,	PUNCT
ejpam-6216	501	33	using	use	VERB
ejpam-6216	501	34	bipolar	bipolar	ADJ
ejpam-6216	501	35	fuzzy	fuzzy	ADJ
ejpam-6216	501	36	sets	set	NOUN
ejpam-6216	501	37	for	for	ADP
ejpam-6216	501	38	vertices	vertex	NOUN
ejpam-6216	501	39	w	w	NOUN
ejpam-6216	501	40	and	and	CCONJ
ejpam-6216	501	41	edges	edge	VERB
ejpam-6216	501	42	λ	λ	PROPN
ejpam-6216	501	43	(	(	PUNCT
ejpam-6216	501	44	steps	step	NOUN
ejpam-6216	501	45	2	2	NUM
ejpam-6216	501	46	-	-	SYM
ejpam-6216	501	47	6	6	NUM
ejpam-6216	501	48	)	)	PUNCT
ejpam-6216	501	49	.	.	PUNCT
ejpam-6216	502	1	this	this	PRON
ejpam-6216	502	2	establishes	establish	VERB
ejpam-6216	502	3	a	a	DET
ejpam-6216	502	4	two	two	NUM
ejpam-6216	502	5	-	-	PUNCT
ejpam-6216	502	6	dimensional	dimensional	ADJ
ejpam-6216	502	7	foundation	foundation	NOUN
ejpam-6216	502	8	for	for	ADP
ejpam-6216	502	9	the	the	DET
ejpam-6216	502	10	entire	entire	ADJ
ejpam-6216	502	11	analysis	analysis	NOUN
ejpam-6216	502	12	from	from	ADP
ejpam-6216	502	13	the	the	DET
ejpam-6216	502	14	outset	outset	NOUN
ejpam-6216	502	15	.	.	PUNCT
ejpam-6216	503	1	(	(	PUNCT
ejpam-6216	503	2	ii	ii	X
ejpam-6216	503	3	)	)	PUNCT
ejpam-6216	503	4	the	the	DET
ejpam-6216	503	5	core	core	ADJ
ejpam-6216	503	6	novelty	novelty	NOUN
ejpam-6216	503	7	lies	lie	VERB
ejpam-6216	503	8	in	in	ADP
ejpam-6216	503	9	the	the	DET
ejpam-6216	503	10	computation	computation	NOUN
ejpam-6216	503	11	of	of	ADP
ejpam-6216	503	12	separate	separate	ADJ
ejpam-6216	503	13	lower	low	ADJ
ejpam-6216	503	14	(	(	PUNCT
ejpam-6216	503	15	υw	υw	ADJ
ejpam-6216	503	16	,	,	PUNCT
ejpam-6216	503	17	lλ	lλ	NOUN
ejpam-6216	503	18	)	)	PUNCT
ejpam-6216	503	19	and	and	CCONJ
ejpam-6216	503	20	upper	upper	ADJ
ejpam-6216	503	21	(	(	PUNCT
ejpam-6216	503	22	υw	υw	ADJ
ejpam-6216	503	23	,	,	PUNCT
ejpam-6216	503	24	lλ	lλ	NOUN
ejpam-6216	503	25	)	)	PUNCT
ejpam-6216	503	26	approximations	approximation	NOUN
ejpam-6216	503	27	for	for	ADP
ejpam-6216	503	28	both	both	CCONJ
ejpam-6216	503	29	the	the	DET
ejpam-6216	503	30	positive	positive	ADJ
ejpam-6216	503	31	and	and	CCONJ
ejpam-6216	503	32	negative	negative	ADJ
ejpam-6216	503	33	relationships	relationship	NOUN
ejpam-6216	503	34	(	(	PUNCT
ejpam-6216	503	35	steps	step	NOUN
ejpam-6216	503	36	7	7	NUM
ejpam-6216	503	37	-	-	SYM
ejpam-6216	503	38	8)	8)	NUM
ejpam-6216	503	39	.	.	PUNCT
ejpam-6216	504	1	this	this	PRON
ejpam-6216	504	2	constructs	construct	VERB
ejpam-6216	504	3	a	a	DET
ejpam-6216	504	4	multi	multi	ADJ
ejpam-6216	504	5	-	-	ADJ
ejpam-6216	504	6	layered	layered	ADJ
ejpam-6216	504	7	bipolar	bipolar	ADJ
ejpam-6216	504	8	fuzzy	fuzzy	ADJ
ejpam-6216	504	9	rough	rough	ADJ
ejpam-6216	504	10	digraph	digraph	NOUN
ejpam-6216	504	11	γ	γ	X
ejpam-6216	504	12	=	=	SYM
ejpam-6216	504	13	(	(	PUNCT
ejpam-6216	504	14	γ	γ	X
ejpam-6216	504	15	,	,	PUNCT
ejpam-6216	504	16	γ	γ	NOUN
ejpam-6216	504	17	)	)	PUNCT
ejpam-6216	504	18	that	that	PRON
ejpam-6216	504	19	preserves	preserve	VERB
ejpam-6216	504	20	the	the	DET
ejpam-6216	504	21	distinction	distinction	NOUN
ejpam-6216	504	22	between	between	ADP
ejpam-6216	504	23	positive	positive	ADJ
ejpam-6216	504	24	and	and	CCONJ
ejpam-6216	504	25	negative	negative	ADJ
ejpam-6216	504	26	ties	tie	NOUN
ejpam-6216	504	27	,	,	PUNCT
ejpam-6216	504	28	rather	rather	ADV
ejpam-6216	504	29	than	than	ADP
ejpam-6216	504	30	collapsing	collapse	VERB
ejpam-6216	504	31	them	they	PRON
ejpam-6216	504	32	into	into	ADP
ejpam-6216	504	33	a	a	DET
ejpam-6216	504	34	single	single	ADJ
ejpam-6216	504	35	measure	measure	NOUN
ejpam-6216	504	36	of	of	ADP
ejpam-6216	504	37	strength	strength	NOUN
ejpam-6216	504	38	.	.	PUNCT
ejpam-6216	505	1	(	(	PUNCT
ejpam-6216	505	2	iii	iii	X
ejpam-6216	505	3	)	)	PUNCT
ejpam-6216	505	4	crucially	crucially	ADV
ejpam-6216	505	5	,	,	PUNCT
ejpam-6216	505	6	the	the	DET
ejpam-6216	505	7	domination	domination	NOUN
ejpam-6216	505	8	analysis	analysis	NOUN
ejpam-6216	505	9	is	be	AUX
ejpam-6216	505	10	performed	perform	VERB
ejpam-6216	505	11	on	on	ADP
ejpam-6216	505	12	these	these	DET
ejpam-6216	505	13	distinct	distinct	ADJ
ejpam-6216	505	14	layers	layer	NOUN
ejpam-6216	505	15	.	.	PUNCT
ejpam-6216	506	1	our	our	PRON
ejpam-6216	506	2	algorithm	algorithm	NOUN
ejpam-6216	506	3	finds	find	VERB
ejpam-6216	506	4	minimal	minimal	ADJ
ejpam-6216	506	5	dominating	dominating	NOUN
ejpam-6216	506	6	sets	set	NOUN
ejpam-6216	506	7	independently	independently	ADV
ejpam-6216	506	8	in	in	ADP
ejpam-6216	506	9	the	the	DET
ejpam-6216	506	10	lower	low	ADJ
ejpam-6216	506	11	approximation	approximation	NOUN
ejpam-6216	506	12	γ	γ	X
ejpam-6216	506	13	(	(	PUNCT
ejpam-6216	506	14	representing	represent	VERB
ejpam-6216	506	15	certain	certain	ADJ
ejpam-6216	506	16	influence	influence	NOUN
ejpam-6216	506	17	)	)	PUNCT
ejpam-6216	506	18	and	and	CCONJ
ejpam-6216	506	19	the	the	DET
ejpam-6216	506	20	upper	upper	ADJ
ejpam-6216	506	21	approximation	approximation	NOUN
ejpam-6216	506	22	γ	γ	X
ejpam-6216	506	23	(	(	PUNCT
ejpam-6216	506	24	representing	represent	VERB
ejpam-6216	506	25	potential	potential	ADJ
ejpam-6216	506	26	influence	influence	NOUN
ejpam-6216	506	27	)	)	PUNCT
ejpam-6216	506	28	(	(	PUNCT
ejpam-6216	506	29	steps	step	NOUN
ejpam-6216	506	30	11	11	NUM
ejpam-6216	506	31	-	-	SYM
ejpam-6216	506	32	13	13	NUM
ejpam-6216	506	33	)	)	PUNCT
ejpam-6216	506	34	.	.	PUNCT
ejpam-6216	507	1	this	this	DET
ejpam-6216	507	2	multi	multi	ADJ
ejpam-6216	507	3	-	-	ADJ
ejpam-6216	507	4	step	step	ADJ
ejpam-6216	507	5	process	process	NOUN
ejpam-6216	507	6	allows	allow	VERB
ejpam-6216	507	7	us	we	PRON
ejpam-6216	507	8	to	to	PART
ejpam-6216	507	9	identify	identify	VERB
ejpam-6216	507	10	nodes	node	NOUN
ejpam-6216	507	11	a.	a.	PROPN
ejpam-6216	507	12	arif	arif	PROPN
ejpam-6216	507	13	et	et	PROPN
ejpam-6216	507	14	al	al	PROPN
ejpam-6216	507	15	.	.	PUNCT
ejpam-6216	507	16	/	/	SYM
ejpam-6216	507	17	eur	eur	PROPN
ejpam-6216	507	18	.	.	PUNCT
ejpam-6216	508	1	j.	j.	PROPN
ejpam-6216	508	2	pure	pure	PROPN
ejpam-6216	508	3	appl	appl	PROPN
ejpam-6216	508	4	.	.	PROPN
ejpam-6216	508	5	math	math	PROPN
ejpam-6216	508	6	,	,	PUNCT
ejpam-6216	508	7	18	18	NUM
ejpam-6216	508	8	(	(	PUNCT
ejpam-6216	508	9	4	4	NUM
ejpam-6216	508	10	)	)	PUNCT
ejpam-6216	508	11	(	(	PUNCT
ejpam-6216	508	12	2025	2025	NUM
ejpam-6216	508	13	)	)	PUNCT
ejpam-6216	508	14	,	,	PUNCT
ejpam-6216	508	15	6216	6216	NUM
ejpam-6216	508	16	29	29	NUM
ejpam-6216	508	17	of	of	ADP
ejpam-6216	508	18	36	36	NUM
ejpam-6216	508	19	based	base	VERB
ejpam-6216	508	20	on	on	ADP
ejpam-6216	508	21	the	the	DET
ejpam-6216	508	22	specific	specific	ADJ
ejpam-6216	508	23	nature	nature	NOUN
ejpam-6216	508	24	and	and	CCONJ
ejpam-6216	508	25	certainty	certainty	NOUN
ejpam-6216	508	26	of	of	ADP
ejpam-6216	508	27	their	their	PRON
ejpam-6216	508	28	influence	influence	NOUN
ejpam-6216	508	29	—	—	PUNCT
ejpam-6216	508	30	a	a	DET
ejpam-6216	508	31	level	level	NOUN
ejpam-6216	508	32	of	of	ADP
ejpam-6216	508	33	granularity	granularity	NOUN
ejpam-6216	508	34	impossible	impossible	ADJ
ejpam-6216	508	35	with	with	ADP
ejpam-6216	508	36	existing	exist	VERB
ejpam-6216	508	37	methods	method	NOUN
ejpam-6216	508	38	.	.	PUNCT
ejpam-6216	509	1	(	(	PUNCT
ejpam-6216	509	2	iv	iv	X
ejpam-6216	509	3	)	)	PUNCT
ejpam-6216	509	4	the	the	DET
ejpam-6216	509	5	final	final	ADJ
ejpam-6216	509	6	minimum	minimum	ADJ
ejpam-6216	509	7	dominating	dominating	NOUN
ejpam-6216	509	8	set	set	NOUN
ejpam-6216	509	9	(	(	PUNCT
ejpam-6216	509	10	dm	dm	NOUN
ejpam-6216	509	11	)	)	PUNCT
ejpam-6216	509	12	and	and	CCONJ
ejpam-6216	509	13	domination	domination	NOUN
ejpam-6216	509	14	number	number	NOUN
ejpam-6216	509	15	(	(	PUNCT
ejpam-6216	509	16	ωd	ωd	NOUN
ejpam-6216	509	17	)	)	PUNCT
ejpam-6216	509	18	(	(	PUNCT
ejpam-6216	509	19	steps	step	NOUN
ejpam-6216	509	20	1416	1416	NUM
ejpam-6216	509	21	)	)	PUNCT
ejpam-6216	509	22	are	be	AUX
ejpam-6216	509	23	derived	derive	VERB
ejpam-6216	509	24	from	from	ADP
ejpam-6216	509	25	this	this	DET
ejpam-6216	509	26	richer	rich	ADJ
ejpam-6216	509	27	,	,	PUNCT
ejpam-6216	509	28	multi	multi	ADJ
ejpam-6216	509	29	-	-	ADJ
ejpam-6216	509	30	layered	layered	ADJ
ejpam-6216	509	31	analysis	analysis	NOUN
ejpam-6216	509	32	.	.	PUNCT
ejpam-6216	510	1	the	the	DET
ejpam-6216	510	2	final	final	ADJ
ejpam-6216	510	3	interpretation	interpretation	NOUN
ejpam-6216	510	4	(	(	PUNCT
ejpam-6216	510	5	step	step	NOUN
ejpam-6216	510	6	17	17	NUM
ejpam-6216	510	7	)	)	PUNCT
ejpam-6216	510	8	is	be	AUX
ejpam-6216	510	9	therefore	therefore	ADV
ejpam-6216	510	10	not	not	PART
ejpam-6216	510	11	just	just	ADV
ejpam-6216	510	12	an	an	DET
ejpam-6216	510	13	identification	identification	NOUN
ejpam-6216	510	14	of	of	ADP
ejpam-6216	510	15	”	"	PUNCT
ejpam-6216	510	16	who	who	PRON
ejpam-6216	510	17	is	be	AUX
ejpam-6216	510	18	influential	influential	ADJ
ejpam-6216	510	19	,	,	PUNCT
ejpam-6216	510	20	”	"	PUNCT
ejpam-6216	510	21	but	but	CCONJ
ejpam-6216	510	22	a	a	DET
ejpam-6216	510	23	precise	precise	ADJ
ejpam-6216	510	24	,	,	PUNCT
ejpam-6216	510	25	evidence	evidence	NOUN
ejpam-6216	510	26	-	-	PUNCT
ejpam-6216	510	27	based	base	VERB
ejpam-6216	510	28	recommendation	recommendation	NOUN
ejpam-6216	510	29	on	on	ADP
ejpam-6216	510	30	which	which	PRON
ejpam-6216	510	31	nodes	node	NOUN
ejpam-6216	510	32	form	form	VERB
ejpam-6216	510	33	the	the	DET
ejpam-6216	510	34	optimal	optimal	ADJ
ejpam-6216	510	35	positive	positive	ADJ
ejpam-6216	510	36	-	-	PUNCT
ejpam-6216	510	37	influence	influence	NOUN
ejpam-6216	510	38	core	core	NOUN
ejpam-6216	510	39	of	of	ADP
ejpam-6216	510	40	the	the	DET
ejpam-6216	510	41	network	network	NOUN
ejpam-6216	510	42	.	.	PUNCT
ejpam-6216	511	1	to	to	PART
ejpam-6216	511	2	understand	understand	VERB
ejpam-6216	511	3	the	the	DET
ejpam-6216	511	4	practical	practical	ADJ
ejpam-6216	511	5	difference	difference	NOUN
ejpam-6216	511	6	,	,	PUNCT
ejpam-6216	511	7	consider	consider	VERB
ejpam-6216	511	8	a	a	DET
ejpam-6216	511	9	scenario	scenario	NOUN
ejpam-6216	511	10	of	of	ADP
ejpam-6216	511	11	evaluating	evaluate	VERB
ejpam-6216	511	12	a	a	DET
ejpam-6216	511	13	project	project	NOUN
ejpam-6216	511	14	team	team	NOUN
ejpam-6216	511	15	’s	’s	PART
ejpam-6216	511	16	performance	performance	NOUN
ejpam-6216	511	17	.	.	PUNCT
ejpam-6216	512	1	team	team	NOUN
ejpam-6216	512	2	dynamics	dynamic	NOUN
ejpam-6216	512	3	are	be	AUX
ejpam-6216	512	4	complex	complex	ADJ
ejpam-6216	512	5	,	,	PUNCT
ejpam-6216	512	6	influenced	influence	VERB
ejpam-6216	512	7	by	by	ADP
ejpam-6216	512	8	positive	positive	ADJ
ejpam-6216	512	9	factors	factor	NOUN
ejpam-6216	512	10	like	like	ADP
ejpam-6216	512	11	collaboration	collaboration	NOUN
ejpam-6216	512	12	and	and	CCONJ
ejpam-6216	512	13	expertise	expertise	NOUN
ejpam-6216	512	14	,	,	PUNCT
ejpam-6216	512	15	as	as	ADV
ejpam-6216	512	16	well	well	ADV
ejpam-6216	512	17	as	as	ADP
ejpam-6216	512	18	negative	negative	ADJ
ejpam-6216	512	19	factors	factor	NOUN
ejpam-6216	512	20	like	like	ADP
ejpam-6216	512	21	conflict	conflict	NOUN
ejpam-6216	512	22	and	and	CCONJ
ejpam-6216	512	23	poor	poor	ADJ
ejpam-6216	512	24	communication	communication	NOUN
ejpam-6216	512	25	.	.	PUNCT
ejpam-6216	513	1	a	a	DET
ejpam-6216	513	2	standard	standard	ADJ
ejpam-6216	513	3	fuzzy	fuzzy	ADJ
ejpam-6216	513	4	rough	rough	ADJ
ejpam-6216	513	5	digraph	digraph	NOUN
ejpam-6216	513	6	(	(	PUNCT
ejpam-6216	513	7	frd	frd	ADJ
ejpam-6216	513	8	)	)	PUNCT
ejpam-6216	513	9	can	can	AUX
ejpam-6216	513	10	capture	capture	VERB
ejpam-6216	513	11	the	the	DET
ejpam-6216	513	12	strength	strength	NOUN
ejpam-6216	513	13	of	of	ADP
ejpam-6216	513	14	the	the	DET
ejpam-6216	513	15	relationships	relationship	NOUN
ejpam-6216	513	16	.	.	PUNCT
ejpam-6216	514	1	for	for	ADP
ejpam-6216	514	2	example	example	NOUN
ejpam-6216	514	3	,	,	PUNCT
ejpam-6216	514	4	it	it	PRON
ejpam-6216	514	5	might	might	AUX
ejpam-6216	514	6	assign	assign	VERB
ejpam-6216	514	7	the	the	DET
ejpam-6216	514	8	connection	connection	NOUN
ejpam-6216	514	9	between	between	ADP
ejpam-6216	514	10	team	team	NOUN
ejpam-6216	514	11	member	member	NOUN
ejpam-6216	514	12	a	a	NOUN
ejpam-6216	514	13	and	and	CCONJ
ejpam-6216	514	14	team	team	NOUN
ejpam-6216	514	15	member	member	NOUN
ejpam-6216	514	16	b	b	PROPN
ejpam-6216	514	17	a	a	DET
ejpam-6216	514	18	high	high	ADJ
ejpam-6216	514	19	value	value	NOUN
ejpam-6216	514	20	of	of	ADP
ejpam-6216	514	21	0.8	0.8	NUM
ejpam-6216	514	22	,	,	PUNCT
ejpam-6216	514	23	indicating	indicate	VERB
ejpam-6216	514	24	a	a	DET
ejpam-6216	514	25	strong	strong	ADJ
ejpam-6216	514	26	bond	bond	NOUN
ejpam-6216	514	27	.	.	PUNCT
ejpam-6216	515	1	however	however	ADV
ejpam-6216	515	2	,	,	PUNCT
ejpam-6216	515	3	the	the	DET
ejpam-6216	515	4	frd	frd	NOUN
ejpam-6216	515	5	can	can	AUX
ejpam-6216	515	6	not	not	PART
ejpam-6216	515	7	distinguish	distinguish	VERB
ejpam-6216	515	8	the	the	DET
ejpam-6216	515	9	nature	nature	NOUN
ejpam-6216	515	10	of	of	ADP
ejpam-6216	515	11	this	this	DET
ejpam-6216	515	12	bond	bond	NOUN
ejpam-6216	515	13	.	.	PUNCT
ejpam-6216	516	1	is	be	AUX
ejpam-6216	516	2	it	it	PRON
ejpam-6216	516	3	a	a	DET
ejpam-6216	516	4	strong	strong	ADJ
ejpam-6216	516	5	,	,	PUNCT
ejpam-6216	516	6	positive	positive	ADJ
ejpam-6216	516	7	collaboration	collaboration	NOUN
ejpam-6216	516	8	,	,	PUNCT
ejpam-6216	516	9	or	or	CCONJ
ejpam-6216	516	10	a	a	DET
ejpam-6216	516	11	tense	tense	ADJ
ejpam-6216	516	12	,	,	PUNCT
ejpam-6216	516	13	negative	negative	ADJ
ejpam-6216	516	14	rivalry	rivalry	NOUN
ejpam-6216	516	15	that	that	PRON
ejpam-6216	516	16	forces	force	VERB
ejpam-6216	516	17	them	they	PRON
ejpam-6216	516	18	to	to	PART
ejpam-6216	516	19	interact	interact	VERB
ejpam-6216	516	20	?	?	PUNCT
ejpam-6216	517	1	the	the	DET
ejpam-6216	517	2	model	model	NOUN
ejpam-6216	517	3	’s	’s	PART
ejpam-6216	517	4	inability	inability	NOUN
ejpam-6216	517	5	to	to	PART
ejpam-6216	517	6	handle	handle	VERB
ejpam-6216	517	7	this	this	DET
ejpam-6216	517	8	bipolarity	bipolarity	NOUN
ejpam-6216	517	9	leaves	leave	VERB
ejpam-6216	517	10	the	the	DET
ejpam-6216	517	11	analysis	analysis	NOUN
ejpam-6216	517	12	incomplete	incomplete	ADJ
ejpam-6216	517	13	.	.	PUNCT
ejpam-6216	518	1	this	this	PRON
ejpam-6216	518	2	is	be	AUX
ejpam-6216	518	3	where	where	SCONJ
ejpam-6216	518	4	the	the	DET
ejpam-6216	518	5	bipolar	bipolar	ADJ
ejpam-6216	518	6	fuzzy	fuzzy	ADJ
ejpam-6216	518	7	rough	rough	ADJ
ejpam-6216	518	8	digraph	digraph	NOUN
ejpam-6216	518	9	(	(	PUNCT
ejpam-6216	518	10	bfrd	bfrd	NOUN
ejpam-6216	518	11	)	)	PUNCT
ejpam-6216	518	12	provides	provide	VERB
ejpam-6216	518	13	a	a	DET
ejpam-6216	518	14	far	far	ADV
ejpam-6216	518	15	more	more	ADV
ejpam-6216	518	16	insightful	insightful	ADJ
ejpam-6216	518	17	analysis	analysis	NOUN
ejpam-6216	518	18	.	.	PUNCT
ejpam-6216	519	1	the	the	DET
ejpam-6216	519	2	bfrd	bfrd	NOUN
ejpam-6216	519	3	can	can	AUX
ejpam-6216	519	4	represent	represent	VERB
ejpam-6216	519	5	the	the	DET
ejpam-6216	519	6	same	same	ADJ
ejpam-6216	519	7	relationship	relationship	NOUN
ejpam-6216	519	8	using	use	VERB
ejpam-6216	519	9	two	two	NUM
ejpam-6216	519	10	distinct	distinct	ADJ
ejpam-6216	519	11	values	value	NOUN
ejpam-6216	519	12	:	:	PUNCT
ejpam-6216	519	13	•	•	ADP
ejpam-6216	519	14	a	a	DET
ejpam-6216	519	15	positive	positive	ADJ
ejpam-6216	519	16	membership	membership	NOUN
ejpam-6216	519	17	of	of	ADP
ejpam-6216	519	18	0.8	0.8	NUM
ejpam-6216	519	19	to	to	PART
ejpam-6216	519	20	reflect	reflect	VERB
ejpam-6216	519	21	their	their	PRON
ejpam-6216	519	22	strong	strong	ADJ
ejpam-6216	519	23	collaboration	collaboration	NOUN
ejpam-6216	519	24	.	.	PUNCT
ejpam-6216	520	1	•	•	NUM
ejpam-6216	520	2	a	a	DET
ejpam-6216	520	3	negative	negative	ADJ
ejpam-6216	520	4	membership	membership	NOUN
ejpam-6216	520	5	of	of	ADP
ejpam-6216	520	6	−	−	PROPN
ejpam-6216	520	7	0.3	0.3	NUM
ejpam-6216	520	8	to	to	PART
ejpam-6216	520	9	account	account	VERB
ejpam-6216	520	10	for	for	ADP
ejpam-6216	520	11	some	some	DET
ejpam-6216	520	12	minor	minor	ADJ
ejpam-6216	520	13	communication	communication	NOUN
ejpam-6216	520	14	issues	issue	NOUN
ejpam-6216	520	15	.	.	PUNCT
ejpam-6216	521	1	this	this	DET
ejpam-6216	521	2	dual	dual	ADJ
ejpam-6216	521	3	representation	representation	NOUN
ejpam-6216	521	4	offers	offer	VERB
ejpam-6216	521	5	a	a	DET
ejpam-6216	521	6	much	much	ADV
ejpam-6216	521	7	clearer	clear	ADJ
ejpam-6216	521	8	and	and	CCONJ
ejpam-6216	521	9	more	more	ADV
ejpam-6216	521	10	realistic	realistic	ADJ
ejpam-6216	521	11	understanding	understanding	NOUN
ejpam-6216	521	12	of	of	ADP
ejpam-6216	521	13	the	the	DET
ejpam-6216	521	14	team	team	NOUN
ejpam-6216	521	15	’s	’s	PART
ejpam-6216	521	16	dynamics	dynamic	NOUN
ejpam-6216	521	17	,	,	PUNCT
ejpam-6216	521	18	capturing	capture	VERB
ejpam-6216	521	19	both	both	DET
ejpam-6216	521	20	the	the	DET
ejpam-6216	521	21	supportive	supportive	ADJ
ejpam-6216	521	22	and	and	CCONJ
ejpam-6216	521	23	conflicting	conflicting	ADJ
ejpam-6216	521	24	aspects	aspect	NOUN
ejpam-6216	521	25	of	of	ADP
ejpam-6216	521	26	their	their	PRON
ejpam-6216	521	27	relationship	relationship	NOUN
ejpam-6216	521	28	.	.	PUNCT
ejpam-6216	522	1	a.	a.	PROPN
ejpam-6216	522	2	arif	arif	PROPN
ejpam-6216	522	3	et	et	PROPN
ejpam-6216	522	4	al	al	PROPN
ejpam-6216	522	5	.	.	PUNCT
ejpam-6216	522	6	/	/	SYM
ejpam-6216	522	7	eur	eur	PROPN
ejpam-6216	522	8	.	.	PUNCT
ejpam-6216	523	1	j.	j.	PROPN
ejpam-6216	523	2	pure	pure	PROPN
ejpam-6216	523	3	appl	appl	PROPN
ejpam-6216	523	4	.	.	PROPN
ejpam-6216	523	5	math	math	PROPN
ejpam-6216	523	6	,	,	PUNCT
ejpam-6216	523	7	18	18	NUM
ejpam-6216	523	8	(	(	PUNCT
ejpam-6216	523	9	4	4	NUM
ejpam-6216	523	10	)	)	PUNCT
ejpam-6216	523	11	(	(	PUNCT
ejpam-6216	523	12	2025	2025	NUM
ejpam-6216	523	13	)	)	PUNCT
ejpam-6216	523	14	,	,	PUNCT
ejpam-6216	523	15	6216	6216	NUM
ejpam-6216	523	16	30	30	NUM
ejpam-6216	523	17	of	of	ADP
ejpam-6216	523	18	36	36	NUM
ejpam-6216	523	19	1	1	NUM
ejpam-6216	523	20	.	.	PUNCT
ejpam-6216	523	21	consider	consider	VERB
ejpam-6216	523	22	the	the	DET
ejpam-6216	523	23	set	set	NOUN
ejpam-6216	523	24	x	x	PUNCT
ejpam-6216	523	25	of	of	ADP
ejpam-6216	523	26	vertices	vertex	NOUN
ejpam-6216	523	27	ϵ1	ϵ1	ADJ
ejpam-6216	523	28	,	,	PUNCT
ejpam-6216	523	29	ϵ2	ϵ2	ADJ
ejpam-6216	523	30	,	,	PUNCT
ejpam-6216	523	31	.	.	PUNCT
ejpam-6216	523	32	.	.	PUNCT
ejpam-6216	524	1	.	.	PUNCT
ejpam-6216	525	1	,	,	PUNCT
ejpam-6216	525	2	ϵn	ϵn	PROPN
ejpam-6216	525	3	2	2	X
ejpam-6216	525	4	.	.	X
ejpam-6216	525	5	consider	consider	VERB
ejpam-6216	525	6	the	the	DET
ejpam-6216	525	7	bipolar	bipolar	ADJ
ejpam-6216	525	8	fuzzy	fuzzy	ADJ
ejpam-6216	525	9	vertex	vertex	NOUN
ejpam-6216	525	10	set	set	VERB
ejpam-6216	525	11	w	w	NOUN
ejpam-6216	525	12	on	on	ADP
ejpam-6216	525	13	x	x	SYM
ejpam-6216	525	14	3	3	X
ejpam-6216	525	15	.	.	PUNCT
ejpam-6216	525	16	consider	consider	VERB
ejpam-6216	525	17	the	the	DET
ejpam-6216	525	18	set	set	NOUN
ejpam-6216	525	19	a	a	PRON
ejpam-6216	525	20	of	of	ADP
ejpam-6216	525	21	edges	edge	NOUN
ejpam-6216	525	22	q1	q1	PROPN
ejpam-6216	525	23	,	,	PUNCT
ejpam-6216	525	24	q2	q2	NOUN
ejpam-6216	525	25	,	,	PUNCT
ejpam-6216	525	26	.	.	PUNCT
ejpam-6216	525	27	.	.	PUNCT
ejpam-6216	526	1	.	.	PUNCT
ejpam-6216	527	1	,	,	PUNCT
ejpam-6216	527	2	qu	qu	PROPN
ejpam-6216	527	3	where	where	SCONJ
ejpam-6216	527	4	qr	qr	NOUN
ejpam-6216	527	5	=	=	PUNCT
ejpam-6216	527	6	ϵsϵt	ϵsϵt	NOUN
ejpam-6216	527	7	for	for	ADP
ejpam-6216	527	8	some	some	DET
ejpam-6216	527	9	1	1	NUM
ejpam-6216	527	10	≤	≤	NUM
ejpam-6216	527	11	s	s	PROPN
ejpam-6216	527	12	,	,	PUNCT
ejpam-6216	527	13	t	t	PROPN
ejpam-6216	527	14	≤	≤	NUM
ejpam-6216	527	15	n	n	PRON
ejpam-6216	527	16	4	4	NUM
ejpam-6216	527	17	.	.	PUNCT
ejpam-6216	527	18	consider	consider	VERB
ejpam-6216	527	19	the	the	DET
ejpam-6216	527	20	bipolar	bipolar	ADJ
ejpam-6216	527	21	fuzzy	fuzzy	ADJ
ejpam-6216	527	22	edge	edge	NOUN
ejpam-6216	527	23	set	set	VERB
ejpam-6216	527	24	λ	λ	PROPN
ejpam-6216	527	25	on	on	ADP
ejpam-6216	527	26	a	a	DET
ejpam-6216	527	27	5	5	NUM
ejpam-6216	527	28	.	.	PUNCT
ejpam-6216	527	29	insert	insert	VERB
ejpam-6216	527	30	the	the	DET
ejpam-6216	527	31	bipolar	bipolar	ADJ
ejpam-6216	527	32	fuzzy	fuzzy	ADJ
ejpam-6216	527	33	tolerance	tolerance	NOUN
ejpam-6216	527	34	relation	relation	NOUN
ejpam-6216	527	35	l	l	NOUN
ejpam-6216	527	36	=	=	SYM
ejpam-6216	527	37	(	(	PUNCT
ejpam-6216	527	38	l+	l+	PROPN
ejpam-6216	527	39	,	,	PUNCT
ejpam-6216	527	40	l−	l−	PROPN
ejpam-6216	527	41	)	)	PUNCT
ejpam-6216	527	42	on	on	ADP
ejpam-6216	527	43	a	a	DET
ejpam-6216	527	44	⊆	⊆	NUM
ejpam-6216	527	45	x	x	SYM
ejpam-6216	527	46	×x	×x	NUM
ejpam-6216	527	47	6	6	NUM
ejpam-6216	527	48	.	.	PUNCT
ejpam-6216	527	49	insert	insert	VERB
ejpam-6216	527	50	the	the	DET
ejpam-6216	527	51	bipolar	bipolar	ADJ
ejpam-6216	527	52	fuzzy	fuzzy	ADJ
ejpam-6216	527	53	tolerance	tolerance	NOUN
ejpam-6216	527	54	relation	relation	NOUN
ejpam-6216	527	55	υ	υ	NOUN
ejpam-6216	527	56	on	on	ADP
ejpam-6216	527	57	x	x	SYM
ejpam-6216	527	58	7	7	X
ejpam-6216	527	59	.	.	X
ejpam-6216	527	60	compute	compute	VERB
ejpam-6216	527	61	lower	low	ADJ
ejpam-6216	527	62	approximation	approximation	NOUN
ejpam-6216	527	63	υw	υw	NOUN
ejpam-6216	527	64	and	and	CCONJ
ejpam-6216	527	65	upper	upper	ADJ
ejpam-6216	527	66	approximation	approximation	NOUN
ejpam-6216	527	67	υw	υw	NOUN
ejpam-6216	527	68	by	by	ADP
ejpam-6216	527	69	using	use	VERB
ejpam-6216	527	70	definition	definition	NOUN
ejpam-6216	527	71	:	:	PUNCT
ejpam-6216	527	72	{	{	PUNCT
ejpam-6216	527	73	υw+(α	υw+(α	NOUN
ejpam-6216	527	74	)	)	PUNCT
ejpam-6216	528	1	=	=	SYM
ejpam-6216	528	2	∧	∧	PROPN
ejpam-6216	529	1	[	[	X
ejpam-6216	529	2	1−υ+(α	1−υ+(α	PROPN
ejpam-6216	529	3	,	,	PUNCT
ejpam-6216	529	4	β	β	NOUN
ejpam-6216	529	5	)	)	PUNCT
ejpam-6216	529	6	∨w+(β	∨w+(β	PROPN
ejpam-6216	529	7	)	)	PUNCT
ejpam-6216	529	8	]	]	PUNCT
ejpam-6216	529	9	,	,	PUNCT
ejpam-6216	529	10	υw−(α	υw−(α	PROPN
ejpam-6216	529	11	)	)	PUNCT
ejpam-6216	529	12	=	=	PUNCT
ejpam-6216	530	1	∨	∨	NOUN
ejpam-6216	531	1	[	[	X
ejpam-6216	531	2	−1−υ−(α	−1−υ−(α	NOUN
ejpam-6216	531	3	,	,	PUNCT
ejpam-6216	531	4	β	β	NOUN
ejpam-6216	531	5	)	)	PUNCT
ejpam-6216	531	6	∧w−(β	∧w−(β	NUM
ejpam-6216	531	7	)	)	PUNCT
ejpam-6216	531	8	]	]	PUNCT
ejpam-6216	531	9	υw+(α	υw+(α	NOUN
ejpam-6216	531	10	)	)	PUNCT
ejpam-6216	531	11	=	=	PUNCT
ejpam-6216	532	1	∨	∨	PROPN
ejpam-6216	532	2	[	[	X
ejpam-6216	532	3	υ+(α	υ+(α	PROPN
ejpam-6216	532	4	,	,	PUNCT
ejpam-6216	532	5	β	β	NOUN
ejpam-6216	532	6	)	)	PUNCT
ejpam-6216	532	7	∧w+(β	∧w+(β	NOUN
ejpam-6216	532	8	)	)	PUNCT
ejpam-6216	532	9	]	]	PUNCT
ejpam-6216	532	10	,	,	PUNCT
ejpam-6216	532	11	υw−(α	υw−(α	PROPN
ejpam-6216	532	12	)	)	PUNCT
ejpam-6216	532	13	=	=	SYM
ejpam-6216	533	1	∧	∧	PROPN
ejpam-6216	533	2	[	[	X
ejpam-6216	533	3	υ−(α	υ−(α	PROPN
ejpam-6216	533	4	,	,	PUNCT
ejpam-6216	533	5	β	β	NOUN
ejpam-6216	533	6	)	)	PUNCT
ejpam-6216	533	7	∨w−(β	∨w−(β	VERB
ejpam-6216	533	8	)	)	PUNCT
ejpam-6216	533	9	]	]	PUNCT
ejpam-6216	533	10	,	,	PUNCT
ejpam-6216	533	11	∀α	∀α	NOUN
ejpam-6216	533	12	,	,	PUNCT
ejpam-6216	533	13	β	β	X
ejpam-6216	533	14	∈	∈	NOUN
ejpam-6216	533	15	x	x	SYM
ejpam-6216	533	16	8	8	X
ejpam-6216	533	17	.	.	X
ejpam-6216	533	18	compute	compute	VERB
ejpam-6216	533	19	lower	low	ADJ
ejpam-6216	533	20	approximation	approximation	NOUN
ejpam-6216	533	21	lλ	lλ	NOUN
ejpam-6216	533	22	and	and	CCONJ
ejpam-6216	533	23	upper	upper	ADJ
ejpam-6216	533	24	approximation	approximation	NOUN
ejpam-6216	533	25	lλ	lλ	INTJ
ejpam-6216	533	26	by	by	ADP
ejpam-6216	533	27	using	use	VERB
ejpam-6216	533	28	definitions	definition	NOUN
ejpam-6216	533	29	:	:	PUNCT
ejpam-6216	533	30	{	{	PUNCT
ejpam-6216	533	31	lλ+(αβ	lλ+(αβ	NOUN
ejpam-6216	533	32	)	)	PUNCT
ejpam-6216	533	33	=	=	PUNCT
ejpam-6216	534	1	∧	∧	PROPN
ejpam-6216	534	2	[	[	X
ejpam-6216	534	3	(	(	PUNCT
ejpam-6216	534	4	1−	1−	NUM
ejpam-6216	534	5	l+(αβ	l+(αβ	NOUN
ejpam-6216	534	6	,	,	PUNCT
ejpam-6216	534	7	γθ	γθ	NOUN
ejpam-6216	534	8	)	)	PUNCT
ejpam-6216	534	9	)	)	PUNCT
ejpam-6216	534	10	∨	∨	NUM
ejpam-6216	534	11	λ+(γθ	λ+(γθ	PROPN
ejpam-6216	534	12	)	)	PUNCT
ejpam-6216	534	13	]	]	PUNCT
ejpam-6216	534	14	,	,	PUNCT
ejpam-6216	534	15	lλ−(αβ	lλ−(αβ	NOUN
ejpam-6216	534	16	)	)	PUNCT
ejpam-6216	534	17	=	=	PUNCT
ejpam-6216	535	1	∨	∨	NOUN
ejpam-6216	535	2	[	[	X
ejpam-6216	535	3	(	(	PUNCT
ejpam-6216	535	4	−1−	−1−	NOUN
ejpam-6216	535	5	l−(αβ	l−(αβ	NOUN
ejpam-6216	535	6	,	,	PUNCT
ejpam-6216	535	7	γθ	γθ	NOUN
ejpam-6216	535	8	)	)	PUNCT
ejpam-6216	535	9	)	)	PUNCT
ejpam-6216	536	1	∧	∧	NOUN
ejpam-6216	536	2	λ−(γθ	λ−(γθ	NOUN
ejpam-6216	536	3	)	)	PUNCT
ejpam-6216	536	4	]	]	PUNCT
ejpam-6216	537	1	lλ+(αβ	lλ+(αβ	NOUN
ejpam-6216	537	2	)	)	PUNCT
ejpam-6216	537	3	=	=	PUNCT
ejpam-6216	538	1	∨	∨	NOUN
ejpam-6216	538	2	[	[	X
ejpam-6216	538	3	l+(αβ	l+(αβ	NOUN
ejpam-6216	538	4	,	,	PUNCT
ejpam-6216	538	5	γθ	γθ	NOUN
ejpam-6216	538	6	)	)	PUNCT
ejpam-6216	538	7	∧	∧	PROPN
ejpam-6216	538	8	λ+(γθ	λ+(γθ	PROPN
ejpam-6216	538	9	)	)	PUNCT
ejpam-6216	538	10	]	]	PUNCT
ejpam-6216	538	11	,	,	PUNCT
ejpam-6216	538	12	lλ−(αβ	lλ−(αβ	NOUN
ejpam-6216	538	13	)	)	PUNCT
ejpam-6216	538	14	=	=	PUNCT
ejpam-6216	539	1	∧	∧	PROPN
ejpam-6216	540	1	[	[	X
ejpam-6216	540	2	(	(	PUNCT
ejpam-6216	540	3	l−(αβ	l−(αβ	NOUN
ejpam-6216	540	4	,	,	PUNCT
ejpam-6216	540	5	γθ	γθ	NOUN
ejpam-6216	540	6	)	)	PUNCT
ejpam-6216	540	7	∨	∨	NUM
ejpam-6216	540	8	λ−(γθ	λ−(γθ	NOUN
ejpam-6216	540	9	)	)	PUNCT
ejpam-6216	540	10	]	]	PUNCT
ejpam-6216	540	11	,	,	PUNCT
ejpam-6216	540	12	∀γθ	∀γθ	PROPN
ejpam-6216	540	13	∈	∈	PROPN
ejpam-6216	540	14	a	a	DET
ejpam-6216	540	15	9	9	NUM
ejpam-6216	540	16	.	.	PUNCT
ejpam-6216	540	17	draw	draw	VERB
ejpam-6216	540	18	bipolar	bipolar	ADJ
ejpam-6216	540	19	fuzzy	fuzzy	ADJ
ejpam-6216	540	20	rough	rough	ADJ
ejpam-6216	540	21	digraph	digraph	NOUN
ejpam-6216	540	22	γ	γ	X
ejpam-6216	540	23	=	=	SYM
ejpam-6216	540	24	(	(	PUNCT
ejpam-6216	540	25	γ	γ	X
ejpam-6216	540	26	,	,	PUNCT
ejpam-6216	540	27	γ	γ	NOUN
ejpam-6216	540	28	)	)	PUNCT
ejpam-6216	540	29	10	10	NUM
ejpam-6216	540	30	.	.	PUNCT
ejpam-6216	541	1	find	find	VERB
ejpam-6216	541	2	out	out	ADP
ejpam-6216	541	3	strong	strong	ADJ
ejpam-6216	541	4	arcs	arc	NOUN
ejpam-6216	541	5	in	in	ADP
ejpam-6216	541	6	lower	low	ADJ
ejpam-6216	541	7	approximation	approximation	NOUN
ejpam-6216	541	8	γ	γ	NOUN
ejpam-6216	541	9	and	and	CCONJ
ejpam-6216	541	10	in	in	ADP
ejpam-6216	541	11	upper	upper	ADJ
ejpam-6216	541	12	approximation	approximation	NOUN
ejpam-6216	541	13	γ	γ	X
ejpam-6216	541	14	by	by	ADP
ejpam-6216	541	15	using	use	VERB
ejpam-6216	541	16	the	the	DET
ejpam-6216	541	17	definition	definition	NOUN
ejpam-6216	541	18	:	:	PUNCT
ejpam-6216	541	19	{	{	PUNCT
ejpam-6216	541	20	conn+	conn+	PRON
ejpam-6216	541	21	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	541	22	(	(	PUNCT
ejpam-6216	541	23	ϵ0	ϵ0	ADJ
ejpam-6216	541	24	,	,	PUNCT
ejpam-6216	541	25	ϵ1	ϵ1	ADJ
ejpam-6216	541	26	)	)	PUNCT
ejpam-6216	541	27	≤	≤	NOUN
ejpam-6216	542	1	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	542	2	,	,	PUNCT
ejpam-6216	542	3	ϵ1),conn−	ϵ1),conn−	PROPN
ejpam-6216	542	4	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	542	5	(	(	PUNCT
ejpam-6216	542	6	ϵ0	ϵ0	ADJ
ejpam-6216	542	7	,	,	PUNCT
ejpam-6216	542	8	ϵ1	ϵ1	ADJ
ejpam-6216	542	9	)	)	PUNCT
ejpam-6216	542	10	≥	≥	NOUN
ejpam-6216	542	11	lλ−(ϵ0	lλ−(ϵ0	VERB
ejpam-6216	542	12	,	,	PUNCT
ejpam-6216	542	13	ϵ1	ϵ1	ADJ
ejpam-6216	542	14	)	)	PUNCT
ejpam-6216	542	15	conn+	conn+	PART
ejpam-6216	542	16	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	542	17	(	(	PUNCT
ejpam-6216	542	18	ϵ0	ϵ0	ADJ
ejpam-6216	542	19	,	,	PUNCT
ejpam-6216	542	20	ϵ1	ϵ1	ADJ
ejpam-6216	542	21	)	)	PUNCT
ejpam-6216	542	22	≤	≤	NOUN
ejpam-6216	543	1	lλ+(ϵ0	lλ+(ϵ0	PROPN
ejpam-6216	543	2	,	,	PUNCT
ejpam-6216	543	3	ϵ1),conn−	ϵ1),conn−	PROPN
ejpam-6216	543	4	γ−ϵ0ϵ1	γ−ϵ0ϵ1	PROPN
ejpam-6216	543	5	(	(	PUNCT
ejpam-6216	543	6	ϵ0	ϵ0	ADJ
ejpam-6216	543	7	,	,	PUNCT
ejpam-6216	543	8	ϵ1	ϵ1	ADJ
ejpam-6216	543	9	)	)	PUNCT
ejpam-6216	543	10	≥	≥	NOUN
ejpam-6216	543	11	lλ−(ϵ0	lλ−(ϵ0	VERB
ejpam-6216	543	12	,	,	PUNCT
ejpam-6216	543	13	ϵ1	ϵ1	ADJ
ejpam-6216	543	14	)	)	PUNCT
ejpam-6216	543	15	11	11	NUM
ejpam-6216	543	16	.	.	PUNCT
ejpam-6216	544	1	find	find	VERB
ejpam-6216	544	2	the	the	DET
ejpam-6216	544	3	minimal	minimal	ADJ
ejpam-6216	544	4	dominating	dominating	NOUN
ejpam-6216	544	5	sets	set	NOUN
ejpam-6216	544	6	di	di	NOUN
ejpam-6216	544	7	,	,	PUNCT
ejpam-6216	544	8	i	i	PRON
ejpam-6216	544	9	=	=	NOUN
ejpam-6216	544	10	1	1	NUM
ejpam-6216	544	11	,	,	PUNCT
ejpam-6216	544	12	2	2	NUM
ejpam-6216	544	13	,	,	PUNCT
ejpam-6216	544	14	.	.	PUNCT
ejpam-6216	544	15	.	.	PUNCT
ejpam-6216	545	1	.	.	PUNCT
ejpam-6216	546	1	,	,	PUNCT
ejpam-6216	546	2	k	k	PROPN
ejpam-6216	546	3	in	in	ADP
ejpam-6216	546	4	γ	γ	PROPN
ejpam-6216	546	5	12	12	NUM
ejpam-6216	546	6	.	.	PUNCT
ejpam-6216	547	1	find	find	VERB
ejpam-6216	547	2	the	the	DET
ejpam-6216	547	3	minimal	minimal	ADJ
ejpam-6216	547	4	dominating	dominating	NOUN
ejpam-6216	547	5	sets	set	NOUN
ejpam-6216	547	6	di	di	NOUN
ejpam-6216	547	7	,	,	PUNCT
ejpam-6216	547	8	i	i	PRON
ejpam-6216	547	9	=	=	NOUN
ejpam-6216	547	10	1	1	NUM
ejpam-6216	547	11	,	,	PUNCT
ejpam-6216	547	12	2	2	NUM
ejpam-6216	547	13	,	,	PUNCT
ejpam-6216	547	14	.	.	PUNCT
ejpam-6216	547	15	.	.	PUNCT
ejpam-6216	548	1	.	.	PUNCT
ejpam-6216	549	1	,	,	PUNCT
ejpam-6216	549	2	k	k	PROPN
ejpam-6216	549	3	in	in	ADP
ejpam-6216	549	4	γ	γ	X
ejpam-6216	549	5	13	13	NUM
ejpam-6216	549	6	.	.	PUNCT
ejpam-6216	550	1	find	find	VERB
ejpam-6216	550	2	the	the	DET
ejpam-6216	550	3	minimal	minimal	ADJ
ejpam-6216	550	4	dominating	dominating	NOUN
ejpam-6216	550	5	sets	set	NOUN
ejpam-6216	550	6	di	di	NOUN
ejpam-6216	550	7	,	,	PUNCT
ejpam-6216	550	8	i	i	PRON
ejpam-6216	550	9	=	=	NOUN
ejpam-6216	550	10	1	1	NUM
ejpam-6216	550	11	,	,	PUNCT
ejpam-6216	550	12	2	2	NUM
ejpam-6216	550	13	,	,	PUNCT
ejpam-6216	550	14	.	.	PUNCT
ejpam-6216	550	15	.	.	PUNCT
ejpam-6216	551	1	.	.	PUNCT
ejpam-6216	552	1	,	,	PUNCT
ejpam-6216	552	2	k	k	PROPN
ejpam-6216	552	3	in	in	ADP
ejpam-6216	552	4	γ	γ	X
ejpam-6216	552	5	=	=	SYM
ejpam-6216	552	6	(	(	PUNCT
ejpam-6216	552	7	γ	γ	X
ejpam-6216	552	8	,	,	PUNCT
ejpam-6216	552	9	γ	γ	NOUN
ejpam-6216	552	10	)	)	PUNCT
ejpam-6216	552	11	14	14	NUM
ejpam-6216	552	12	.	.	PUNCT
ejpam-6216	553	1	find	find	VERB
ejpam-6216	553	2	the	the	DET
ejpam-6216	553	3	minimum	minimum	ADJ
ejpam-6216	553	4	dominating	dominating	NOUN
ejpam-6216	553	5	sets	set	NOUN
ejpam-6216	553	6	dm	dm	NOUN
ejpam-6216	553	7	in	in	ADP
ejpam-6216	553	8	γ	γ	X
ejpam-6216	553	9	=	=	SYM
ejpam-6216	553	10	(	(	PUNCT
ejpam-6216	553	11	γ	γ	X
ejpam-6216	553	12	,	,	PUNCT
ejpam-6216	553	13	γ	γ	NOUN
ejpam-6216	553	14	)	)	PUNCT
ejpam-6216	553	15	14	14	NUM
ejpam-6216	553	16	.	.	PUNCT
ejpam-6216	554	1	find	find	VERB
ejpam-6216	554	2	the	the	DET
ejpam-6216	554	3	lower	low	ADJ
ejpam-6216	554	4	domination	domination	NOUN
ejpam-6216	554	5	number	number	NOUN
ejpam-6216	554	6	ωd(γ	ωd(γ	NUM
ejpam-6216	554	7	)	)	PUNCT
ejpam-6216	554	8	of	of	ADP
ejpam-6216	554	9	a	a	DET
ejpam-6216	554	10	minimum	minimum	ADJ
ejpam-6216	554	11	dominating	dominating	NOUN
ejpam-6216	554	12	set	set	VERB
ejpam-6216	554	13	15	15	NUM
ejpam-6216	554	14	.	.	PUNCT
ejpam-6216	555	1	find	find	VERB
ejpam-6216	555	2	the	the	DET
ejpam-6216	555	3	upper	upper	ADJ
ejpam-6216	555	4	domination	domination	NOUN
ejpam-6216	555	5	number	number	NOUN
ejpam-6216	555	6	ωd(γ	ωd(γ	NUM
ejpam-6216	555	7	)	)	PUNCT
ejpam-6216	555	8	of	of	ADP
ejpam-6216	555	9	a	a	DET
ejpam-6216	555	10	minimum	minimum	ADJ
ejpam-6216	555	11	dominating	dominating	NOUN
ejpam-6216	555	12	set	set	VERB
ejpam-6216	555	13	16	16	NUM
ejpam-6216	555	14	.	.	PUNCT
ejpam-6216	556	1	find	find	VERB
ejpam-6216	556	2	the	the	DET
ejpam-6216	556	3	domination	domination	NOUN
ejpam-6216	556	4	number	number	NOUN
ejpam-6216	556	5	ωd(γ	ωd(γ	NUM
ejpam-6216	556	6	)	)	PUNCT
ejpam-6216	556	7	=	=	SYM
ejpam-6216	556	8	ωd(γ	ωd(γ	X
ejpam-6216	556	9	)	)	PUNCT
ejpam-6216	557	1	+	+	CCONJ
ejpam-6216	557	2	ωd(γ	ωd(γ	X
ejpam-6216	557	3	)	)	PUNCT
ejpam-6216	557	4	of	of	ADP
ejpam-6216	557	5	bfrd	bfrd	NOUN
ejpam-6216	557	6	17	17	NUM
ejpam-6216	557	7	.	.	PUNCT
ejpam-6216	558	1	the	the	DET
ejpam-6216	558	2	minimum	minimum	ADJ
ejpam-6216	558	3	dominating	dominating	NOUN
ejpam-6216	558	4	set	set	NOUN
ejpam-6216	558	5	is	be	AUX
ejpam-6216	558	6	the	the	DET
ejpam-6216	558	7	optimum	optimum	ADJ
ejpam-6216	558	8	set	set	NOUN
ejpam-6216	558	9	of	of	ADP
ejpam-6216	558	10	the	the	DET
ejpam-6216	558	11	minimum	minimum	ADJ
ejpam-6216	558	12	number	number	NOUN
ejpam-6216	558	13	of	of	ADP
ejpam-6216	558	14	rural	rural	ADJ
ejpam-6216	558	15	areas	area	NOUN
ejpam-6216	558	16	that	that	PRON
ejpam-6216	558	17	can	can	AUX
ejpam-6216	558	18	supply	supply	VERB
ejpam-6216	558	19	the	the	DET
ejpam-6216	558	20	medicines	medicine	NOUN
ejpam-6216	558	21	to	to	ADP
ejpam-6216	558	22	the	the	DET
ejpam-6216	558	23	other	other	ADJ
ejpam-6216	558	24	rural	rural	ADJ
ejpam-6216	558	25	areas	area	NOUN
ejpam-6216	558	26	in	in	ADP
ejpam-6216	558	27	the	the	DET
ejpam-6216	558	28	most	most	ADV
ejpam-6216	558	29	cost	cost	NOUN
ejpam-6216	558	30	-	-	PUNCT
ejpam-6216	558	31	effective	effective	ADJ
ejpam-6216	558	32	manner	manner	NOUN
ejpam-6216	558	33	table	table	NOUN
ejpam-6216	558	34	10	10	NUM
ejpam-6216	558	35	:	:	PUNCT
ejpam-6216	558	36	algorithm	algorithm	NOUN
ejpam-6216	558	37	for	for	ADP
ejpam-6216	558	38	finding	find	VERB
ejpam-6216	558	39	the	the	DET
ejpam-6216	558	40	optimum	optimum	ADJ
ejpam-6216	558	41	set	set	NOUN
ejpam-6216	558	42	of	of	ADP
ejpam-6216	558	43	vertices	vertex	NOUN
ejpam-6216	558	44	5	5	NUM
ejpam-6216	558	45	.	.	X
ejpam-6216	558	46	conclusion	conclusion	NOUN
ejpam-6216	558	47	this	this	DET
ejpam-6216	558	48	research	research	NOUN
ejpam-6216	558	49	addressed	address	VERB
ejpam-6216	558	50	a	a	DET
ejpam-6216	558	51	critical	critical	ADJ
ejpam-6216	558	52	limitation	limitation	NOUN
ejpam-6216	558	53	in	in	ADP
ejpam-6216	558	54	existing	exist	VERB
ejpam-6216	558	55	fuzzy	fuzzy	ADJ
ejpam-6216	558	56	rough	rough	ADJ
ejpam-6216	558	57	digraph	digraph	NOUN
ejpam-6216	558	58	(	(	PUNCT
ejpam-6216	558	59	frd	frd	ADJ
ejpam-6216	558	60	)	)	PUNCT
ejpam-6216	558	61	models	model	NOUN
ejpam-6216	558	62	:	:	PUNCT
ejpam-6216	558	63	their	their	PRON
ejpam-6216	558	64	inability	inability	NOUN
ejpam-6216	558	65	to	to	PART
ejpam-6216	558	66	handle	handle	VERB
ejpam-6216	558	67	the	the	DET
ejpam-6216	558	68	conflicting	conflicting	ADJ
ejpam-6216	558	69	positive	positive	ADJ
ejpam-6216	558	70	and	and	CCONJ
ejpam-6216	558	71	negative	negative	ADJ
ejpam-6216	558	72	preferences	preference	NOUN
ejpam-6216	558	73	inherent	inherent	ADJ
ejpam-6216	558	74	in	in	ADP
ejpam-6216	558	75	many	many	ADJ
ejpam-6216	558	76	real	real	ADJ
ejpam-6216	558	77	-	-	PUNCT
ejpam-6216	558	78	world	world	NOUN
ejpam-6216	558	79	decision	decision	NOUN
ejpam-6216	558	80	problems	problem	NOUN
ejpam-6216	558	81	.	.	PUNCT
ejpam-6216	559	1	to	to	PART
ejpam-6216	559	2	overcome	overcome	VERB
ejpam-6216	559	3	this	this	PRON
ejpam-6216	559	4	,	,	PUNCT
ejpam-6216	559	5	we	we	PRON
ejpam-6216	559	6	introduced	introduce	VERB
ejpam-6216	559	7	the	the	DET
ejpam-6216	559	8	bipolar	bipolar	ADJ
ejpam-6216	559	9	fuzzy	fuzzy	ADJ
ejpam-6216	559	10	rough	rough	ADJ
ejpam-6216	559	11	digraph	digraph	NOUN
ejpam-6216	559	12	(	(	PUNCT
ejpam-6216	559	13	bfrd	bfrd	PROPN
ejpam-6216	559	14	)	)	PUNCT
ejpam-6216	559	15	,	,	PUNCT
ejpam-6216	559	16	a	a	DET
ejpam-6216	559	17	novel	novel	ADJ
ejpam-6216	559	18	framework	framework	NOUN
ejpam-6216	559	19	designed	design	VERB
ejpam-6216	559	20	to	to	PART
ejpam-6216	559	21	model	model	VERB
ejpam-6216	559	22	and	and	CCONJ
ejpam-6216	559	23	analyze	analyze	VERB
ejpam-6216	559	24	complex	complex	ADJ
ejpam-6216	559	25	networks	network	NOUN
ejpam-6216	559	26	under	under	ADP
ejpam-6216	559	27	conditions	condition	NOUN
ejpam-6216	559	28	of	of	ADP
ejpam-6216	559	29	bipolar	bipolar	ADJ
ejpam-6216	559	30	uncertainty	uncertainty	NOUN
ejpam-6216	559	31	.	.	PUNCT
ejpam-6216	560	1	the	the	DET
ejpam-6216	560	2	primary	primary	ADJ
ejpam-6216	560	3	motivation	motivation	NOUN
ejpam-6216	560	4	for	for	ADP
ejpam-6216	560	5	this	this	DET
ejpam-6216	560	6	research	research	NOUN
ejpam-6216	560	7	was	be	AUX
ejpam-6216	560	8	the	the	DET
ejpam-6216	560	9	critical	critical	ADJ
ejpam-6216	560	10	inability	inability	NOUN
ejpam-6216	560	11	of	of	ADP
ejpam-6216	560	12	existing	exist	VERB
ejpam-6216	560	13	fuzzy	fuzzy	ADJ
ejpam-6216	560	14	rough	rough	ADJ
ejpam-6216	560	15	digraphs	digraph	NOUN
ejpam-6216	560	16	(	(	PUNCT
ejpam-6216	560	17	frds	frd	NOUN
ejpam-6216	560	18	)	)	PUNCT
ejpam-6216	560	19	to	to	PART
ejpam-6216	560	20	model	model	VERB
ejpam-6216	560	21	conflicting	conflicting	ADJ
ejpam-6216	560	22	information	information	NOUN
ejpam-6216	560	23	in	in	ADP
ejpam-6216	560	24	decision	decision	NOUN
ejpam-6216	560	25	-	-	PUNCT
ejpam-6216	560	26	making	make	VERB
ejpam-6216	560	27	scenarios	scenario	NOUN
ejpam-6216	560	28	.	.	PUNCT
ejpam-6216	561	1	our	our	PRON
ejpam-6216	561	2	work	work	NOUN
ejpam-6216	561	3	addresses	address	NOUN
ejpam-6216	561	4	this	this	DET
ejpam-6216	561	5	gap	gap	NOUN
ejpam-6216	561	6	through	through	ADP
ejpam-6216	561	7	the	the	DET
ejpam-6216	561	8	principal	principal	ADJ
ejpam-6216	561	9	novelty	novelty	NOUN
ejpam-6216	561	10	of	of	ADP
ejpam-6216	561	11	introducing	introduce	VERB
ejpam-6216	561	12	the	the	DET
ejpam-6216	561	13	bipolar	bipolar	ADJ
ejpam-6216	561	14	fuzzy	fuzzy	ADJ
ejpam-6216	561	15	rough	rough	ADJ
ejpam-6216	561	16	digraph	digraph	NOUN
ejpam-6216	561	17	(	(	PUNCT
ejpam-6216	561	18	bfrd	bfrd	PROPN
ejpam-6216	561	19	)	)	PUNCT
ejpam-6216	561	20	,	,	PUNCT
ejpam-6216	561	21	a	a	DET
ejpam-6216	561	22	new	new	ADJ
ejpam-6216	561	23	mathematical	mathematical	ADJ
ejpam-6216	561	24	structure	structure	NOUN
ejpam-6216	561	25	designed	design	VERB
ejpam-6216	561	26	to	to	PART
ejpam-6216	561	27	handle	handle	VERB
ejpam-6216	561	28	uncertainty	uncertainty	NOUN
ejpam-6216	561	29	with	with	ADP
ejpam-6216	561	30	both	both	CCONJ
ejpam-6216	561	31	positive	positive	ADJ
ejpam-6216	561	32	and	and	CCONJ
ejpam-6216	561	33	negative	negative	ADJ
ejpam-6216	561	34	preferences	preference	NOUN
ejpam-6216	561	35	.	.	PUNCT
ejpam-6216	562	1	our	our	PRON
ejpam-6216	562	2	proposed	propose	VERB
ejpam-6216	562	3	method	method	NOUN
ejpam-6216	562	4	centers	center	NOUN
ejpam-6216	562	5	on	on	ADP
ejpam-6216	562	6	a	a	DET
ejpam-6216	562	7	new	new	ADJ
ejpam-6216	562	8	domination	domination	NOUN
ejpam-6216	562	9	theory	theory	NOUN
ejpam-6216	562	10	developed	develop	VERB
ejpam-6216	562	11	specifically	specifically	ADV
ejpam-6216	562	12	for	for	ADP
ejpam-6216	562	13	bfrds	bfrd	NOUN
ejpam-6216	562	14	.	.	PUNCT
ejpam-6216	563	1	we	we	PRON
ejpam-6216	563	2	established	establish	VERB
ejpam-6216	563	3	the	the	DET
ejpam-6216	563	4	foundational	foundational	ADJ
ejpam-6216	563	5	concepts	concept	NOUN
ejpam-6216	563	6	of	of	ADP
ejpam-6216	563	7	the	the	DET
ejpam-6216	563	8	domination	domination	NOUN
ejpam-6216	563	9	number	number	NOUN
ejpam-6216	563	10	,	,	PUNCT
ejpam-6216	563	11	vertex	vertex	NOUN
ejpam-6216	563	12	degree	degree	NOUN
ejpam-6216	563	13	,	,	PUNCT
ejpam-6216	563	14	and	and	CCONJ
ejpam-6216	563	15	regular	regular	ADJ
ejpam-6216	563	16	bfrds	bfrd	NOUN
ejpam-6216	563	17	,	,	PUNCT
ejpam-6216	563	18	which	which	PRON
ejpam-6216	563	19	together	together	ADV
ejpam-6216	563	20	provide	provide	VERB
ejpam-6216	563	21	the	the	DET
ejpam-6216	563	22	mathematical	mathematical	ADJ
ejpam-6216	563	23	tools	tool	NOUN
ejpam-6216	563	24	to	to	PART
ejpam-6216	563	25	identify	identify	VERB
ejpam-6216	563	26	key	key	ADJ
ejpam-6216	563	27	influential	influential	ADJ
ejpam-6216	563	28	nodes	node	NOUN
ejpam-6216	563	29	within	within	ADP
ejpam-6216	563	30	networks	network	NOUN
ejpam-6216	563	31	characterized	characterize	VERB
ejpam-6216	563	32	by	by	ADP
ejpam-6216	563	33	dualistic	dualistic	ADJ
ejpam-6216	563	34	properties	property	NOUN
ejpam-6216	563	35	.	.	PUNCT
ejpam-6216	564	1	the	the	DET
ejpam-6216	564	2	primary	primary	ADJ
ejpam-6216	564	3	significance	significance	NOUN
ejpam-6216	564	4	of	of	ADP
ejpam-6216	564	5	this	this	DET
ejpam-6216	564	6	work	work	NOUN
ejpam-6216	564	7	lies	lie	VERB
ejpam-6216	564	8	in	in	ADP
ejpam-6216	564	9	its	its	PRON
ejpam-6216	564	10	ability	ability	NOUN
ejpam-6216	564	11	to	to	PART
ejpam-6216	564	12	provide	provide	VERB
ejpam-6216	564	13	a	a	DET
ejpam-6216	564	14	more	more	ADV
ejpam-6216	564	15	robust	robust	ADJ
ejpam-6216	564	16	and	and	CCONJ
ejpam-6216	564	17	realistic	realistic	ADJ
ejpam-6216	564	18	model	model	NOUN
ejpam-6216	564	19	for	for	ADP
ejpam-6216	564	20	decision	decision	NOUN
ejpam-6216	564	21	analysis	analysis	NOUN
ejpam-6216	564	22	.	.	PUNCT
ejpam-6216	565	1	by	by	ADP
ejpam-6216	565	2	formally	formally	ADV
ejpam-6216	565	3	incorporating	incorporate	VERB
ejpam-6216	565	4	both	both	PRON
ejpam-6216	565	5	supporting	support	VERB
ejpam-6216	565	6	and	and	CCONJ
ejpam-6216	565	7	opposing	opposing	ADJ
ejpam-6216	565	8	factors	factor	NOUN
ejpam-6216	565	9	,	,	PUNCT
ejpam-6216	565	10	the	the	DET
ejpam-6216	565	11	bfrd	bfrd	NOUN
ejpam-6216	565	12	framework	framework	NOUN
ejpam-6216	565	13	enables	enable	VERB
ejpam-6216	565	14	a	a	DET
ejpam-6216	565	15	more	more	ADV
ejpam-6216	565	16	nuanced	nuanced	ADJ
ejpam-6216	565	17	and	and	CCONJ
ejpam-6216	565	18	accurate	accurate	ADJ
ejpam-6216	565	19	assessment	assessment	NOUN
ejpam-6216	565	20	of	of	ADP
ejpam-6216	565	21	complex	complex	ADJ
ejpam-6216	565	22	systems	system	NOUN
ejpam-6216	565	23	,	,	PUNCT
ejpam-6216	565	24	which	which	PRON
ejpam-6216	565	25	is	be	AUX
ejpam-6216	565	26	a	a	DET
ejpam-6216	565	27	crucial	crucial	ADJ
ejpam-6216	565	28	advancement	advancement	NOUN
ejpam-6216	565	29	for	for	ADP
ejpam-6216	565	30	decision	decision	NOUN
ejpam-6216	565	31	-	-	PUNCT
ejpam-6216	565	32	support	support	NOUN
ejpam-6216	565	33	systems	system	NOUN
ejpam-6216	565	34	dealing	deal	VERB
ejpam-6216	565	35	with	with	ADP
ejpam-6216	565	36	real	real	ADJ
ejpam-6216	565	37	-	-	PUNCT
ejpam-6216	565	38	world	world	NOUN
ejpam-6216	565	39	ambiguity	ambiguity	NOUN
ejpam-6216	565	40	.	.	PUNCT
ejpam-6216	566	1	the	the	DET
ejpam-6216	566	2	practical	practical	ADJ
ejpam-6216	566	3	utility	utility	NOUN
ejpam-6216	566	4	of	of	ADP
ejpam-6216	566	5	our	our	PRON
ejpam-6216	566	6	theoretical	theoretical	ADJ
ejpam-6216	566	7	framework	framework	NOUN
ejpam-6216	566	8	was	be	AUX
ejpam-6216	566	9	validated	validate	VERB
ejpam-6216	566	10	through	through	ADP
ejpam-6216	566	11	a	a	DET
ejpam-6216	566	12	real	real	ADJ
ejpam-6216	566	13	-	-	PUNCT
ejpam-6216	566	14	world	world	NOUN
ejpam-6216	566	15	application	application	NOUN
ejpam-6216	566	16	.	.	PUNCT
ejpam-6216	567	1	we	we	PRON
ejpam-6216	567	2	developed	develop	VERB
ejpam-6216	567	3	a	a	DET
ejpam-6216	567	4	novel	novel	ADJ
ejpam-6216	567	5	algorithm	algorithm	NOUN
ejpam-6216	567	6	based	base	VERB
ejpam-6216	567	7	on	on	ADP
ejpam-6216	567	8	our	our	PRON
ejpam-6216	567	9	domination	domination	NOUN
ejpam-6216	567	10	model	model	NOUN
ejpam-6216	567	11	to	to	PART
ejpam-6216	567	12	solve	solve	VERB
ejpam-6216	567	13	a	a	DET
ejpam-6216	567	14	critical	critical	ADJ
ejpam-6216	567	15	logistics	logistic	NOUN
ejpam-6216	567	16	problem	problem	NOUN
ejpam-6216	567	17	:	:	PUNCT
ejpam-6216	567	18	identifying	identify	VERB
ejpam-6216	567	19	an	an	DET
ejpam-6216	567	20	optimal	optimal	ADJ
ejpam-6216	567	21	set	set	NOUN
ejpam-6216	567	22	of	of	ADP
ejpam-6216	567	23	rural	rural	ADJ
ejpam-6216	567	24	areas	area	NOUN
ejpam-6216	567	25	for	for	ADP
ejpam-6216	567	26	medicine	medicine	NOUN
ejpam-6216	567	27	distribution	distribution	NOUN
ejpam-6216	567	28	.	.	PUNCT
ejpam-6216	568	1	the	the	DET
ejpam-6216	568	2	a.	a.	PROPN
ejpam-6216	568	3	arif	arif	PROPN
ejpam-6216	568	4	et	et	PROPN
ejpam-6216	568	5	al	al	PROPN
ejpam-6216	568	6	.	.	PUNCT
ejpam-6216	568	7	/	/	SYM
ejpam-6216	568	8	eur	eur	PROPN
ejpam-6216	568	9	.	.	PUNCT
ejpam-6216	569	1	j.	j.	PROPN
ejpam-6216	569	2	pure	pure	PROPN
ejpam-6216	569	3	appl	appl	PROPN
ejpam-6216	569	4	.	.	PROPN
ejpam-6216	569	5	math	math	PROPN
ejpam-6216	569	6	,	,	PUNCT
ejpam-6216	569	7	18	18	NUM
ejpam-6216	569	8	(	(	PUNCT
ejpam-6216	569	9	4	4	NUM
ejpam-6216	569	10	)	)	PUNCT
ejpam-6216	569	11	(	(	PUNCT
ejpam-6216	569	12	2025	2025	NUM
ejpam-6216	569	13	)	)	PUNCT
ejpam-6216	569	14	,	,	PUNCT
ejpam-6216	569	15	6216	6216	NUM
ejpam-6216	569	16	31	31	NUM
ejpam-6216	569	17	of	of	ADP
ejpam-6216	569	18	36	36	NUM
ejpam-6216	569	19	results	result	NOUN
ejpam-6216	569	20	were	be	AUX
ejpam-6216	569	21	clear	clear	ADJ
ejpam-6216	569	22	and	and	CCONJ
ejpam-6216	569	23	impactful	impactful	ADJ
ejpam-6216	569	24	:	:	PUNCT
ejpam-6216	569	25	our	our	PRON
ejpam-6216	569	26	algorithm	algorithm	NOUN
ejpam-6216	569	27	successfully	successfully	ADV
ejpam-6216	569	28	identified	identify	VERB
ejpam-6216	569	29	the	the	DET
ejpam-6216	569	30	minimum	minimum	ADJ
ejpam-6216	569	31	dominating	dominating	NOUN
ejpam-6216	569	32	set	set	NOUN
ejpam-6216	569	33	of	of	ADP
ejpam-6216	569	34	the	the	DET
ejpam-6216	569	35	bfrd	bfrd	NOUN
ejpam-6216	569	36	,	,	PUNCT
ejpam-6216	569	37	which	which	PRON
ejpam-6216	569	38	directly	directly	ADV
ejpam-6216	569	39	corresponds	correspond	VERB
ejpam-6216	569	40	to	to	ADP
ejpam-6216	569	41	the	the	DET
ejpam-6216	569	42	smallest	small	ADJ
ejpam-6216	569	43	number	number	NOUN
ejpam-6216	569	44	of	of	ADP
ejpam-6216	569	45	supply	supply	NOUN
ejpam-6216	569	46	hubs	hub	NOUN
ejpam-6216	569	47	needed	need	VERB
ejpam-6216	569	48	to	to	PART
ejpam-6216	569	49	efficiently	efficiently	ADV
ejpam-6216	569	50	serve	serve	VERB
ejpam-6216	569	51	the	the	DET
ejpam-6216	569	52	entire	entire	ADJ
ejpam-6216	569	53	network	network	NOUN
ejpam-6216	569	54	.	.	PUNCT
ejpam-6216	570	1	this	this	DET
ejpam-6216	570	2	tangible	tangible	ADJ
ejpam-6216	570	3	outcome	outcome	NOUN
ejpam-6216	570	4	confirms	confirm	VERB
ejpam-6216	570	5	that	that	SCONJ
ejpam-6216	570	6	our	our	PRON
ejpam-6216	570	7	bfrd	bfrd	NOUN
ejpam-6216	570	8	-	-	PUNCT
ejpam-6216	570	9	based	base	VERB
ejpam-6216	570	10	method	method	NOUN
ejpam-6216	570	11	is	be	AUX
ejpam-6216	570	12	not	not	PART
ejpam-6216	570	13	just	just	ADV
ejpam-6216	570	14	a	a	DET
ejpam-6216	570	15	theoretical	theoretical	ADJ
ejpam-6216	570	16	construct	construct	NOUN
ejpam-6216	570	17	but	but	CCONJ
ejpam-6216	570	18	an	an	DET
ejpam-6216	570	19	effective	effective	ADJ
ejpam-6216	570	20	,	,	PUNCT
ejpam-6216	570	21	practical	practical	ADJ
ejpam-6216	570	22	tool	tool	NOUN
ejpam-6216	570	23	that	that	PRON
ejpam-6216	570	24	can	can	AUX
ejpam-6216	570	25	be	be	AUX
ejpam-6216	570	26	used	use	VERB
ejpam-6216	570	27	to	to	PART
ejpam-6216	570	28	generate	generate	VERB
ejpam-6216	570	29	cost	cost	NOUN
ejpam-6216	570	30	-	-	PUNCT
ejpam-6216	570	31	effective	effective	ADJ
ejpam-6216	570	32	solutions	solution	NOUN
ejpam-6216	570	33	for	for	ADP
ejpam-6216	570	34	complex	complex	ADJ
ejpam-6216	570	35	optimization	optimization	NOUN
ejpam-6216	570	36	challenges	challenge	NOUN
ejpam-6216	570	37	.	.	PUNCT
ejpam-6216	571	1	looking	look	VERB
ejpam-6216	571	2	ahead	ahead	ADV
ejpam-6216	571	3	,	,	PUNCT
ejpam-6216	571	4	this	this	DET
ejpam-6216	571	5	work	work	NOUN
ejpam-6216	571	6	opens	open	VERB
ejpam-6216	571	7	several	several	ADJ
ejpam-6216	571	8	avenues	avenue	NOUN
ejpam-6216	571	9	for	for	ADP
ejpam-6216	571	10	future	future	ADJ
ejpam-6216	571	11	research	research	NOUN
ejpam-6216	571	12	.	.	PUNCT
ejpam-6216	572	1	the	the	DET
ejpam-6216	572	2	immediate	immediate	ADJ
ejpam-6216	572	3	next	next	ADJ
ejpam-6216	572	4	steps	step	NOUN
ejpam-6216	572	5	will	will	AUX
ejpam-6216	572	6	involve	involve	VERB
ejpam-6216	572	7	extending	extend	VERB
ejpam-6216	572	8	this	this	DET
ejpam-6216	572	9	concept	concept	NOUN
ejpam-6216	572	10	to	to	ADP
ejpam-6216	572	11	more	more	ADV
ejpam-6216	572	12	complex	complex	ADJ
ejpam-6216	572	13	,	,	PUNCT
ejpam-6216	572	14	multi	multi	ADJ
ejpam-6216	572	15	-	-	ADJ
ejpam-6216	572	16	layered	layered	ADJ
ejpam-6216	572	17	structures	structure	NOUN
ejpam-6216	572	18	,	,	PUNCT
ejpam-6216	572	19	such	such	ADJ
ejpam-6216	572	20	as	as	ADP
ejpam-6216	572	21	bipolar	bipolar	ADJ
ejpam-6216	572	22	fuzzy	fuzzy	ADJ
ejpam-6216	572	23	soft	soft	ADJ
ejpam-6216	572	24	graphs	graph	NOUN
ejpam-6216	572	25	and	and	CCONJ
ejpam-6216	572	26	intuitionistic	intuitionistic	ADJ
ejpam-6216	572	27	bipolar	bipolar	ADJ
ejpam-6216	572	28	fuzzy	fuzzy	ADJ
ejpam-6216	572	29	rough	rough	ADJ
ejpam-6216	572	30	soft	soft	ADJ
ejpam-6216	572	31	digraphs	digraph	NOUN
ejpam-6216	572	32	.	.	PUNCT
ejpam-6216	573	1	furthermore	furthermore	ADV
ejpam-6216	573	2	,	,	PUNCT
ejpam-6216	573	3	there	there	PRON
ejpam-6216	573	4	is	be	VERB
ejpam-6216	573	5	significant	significant	ADJ
ejpam-6216	573	6	potential	potential	NOUN
ejpam-6216	573	7	in	in	ADP
ejpam-6216	573	8	developing	develop	VERB
ejpam-6216	573	9	dynamic	dynamic	ADJ
ejpam-6216	573	10	bfrd	bfrd	NOUN
ejpam-6216	573	11	models	model	NOUN
ejpam-6216	573	12	to	to	PART
ejpam-6216	573	13	analyze	analyze	VERB
ejpam-6216	573	14	evolving	evolving	NOUN
ejpam-6216	573	15	networks	network	NOUN
ejpam-6216	573	16	and	and	CCONJ
ejpam-6216	573	17	in	in	ADP
ejpam-6216	573	18	exploring	explore	VERB
ejpam-6216	573	19	the	the	DET
ejpam-6216	573	20	integration	integration	NOUN
ejpam-6216	573	21	of	of	ADP
ejpam-6216	573	22	our	our	PRON
ejpam-6216	573	23	domination	domination	NOUN
ejpam-6216	573	24	-	-	PUNCT
ejpam-6216	573	25	based	base	VERB
ejpam-6216	573	26	algorithms	algorithm	NOUN
ejpam-6216	573	27	with	with	ADP
ejpam-6216	573	28	machine	machine	NOUN
ejpam-6216	573	29	learning	learn	VERB
ejpam-6216	573	30	techniques	technique	NOUN
ejpam-6216	573	31	for	for	ADP
ejpam-6216	573	32	predictive	predictive	ADJ
ejpam-6216	573	33	analysis	analysis	NOUN
ejpam-6216	573	34	.	.	PUNCT
ejpam-6216	574	1	acknowledgements	acknowledgement	NOUN
ejpam-6216	574	2	a.k	a.k	PROPN
ejpam-6216	574	3	,	,	PUNCT
ejpam-6216	574	4	a.m	a.m	PROPN
ejpam-6216	574	5	and	and	CCONJ
ejpam-6216	574	6	t.a	t.a	PROPN
ejpam-6216	574	7	would	would	AUX
ejpam-6216	574	8	like	like	VERB
ejpam-6216	574	9	to	to	PART
ejpam-6216	574	10	thank	thank	VERB
ejpam-6216	574	11	prince	prince	PROPN
ejpam-6216	574	12	sultan	sultan	PROPN
ejpam-6216	574	13	university	university	PROPN
ejpam-6216	574	14	for	for	ADP
ejpam-6216	574	15	the	the	DET
ejpam-6216	574	16	support	support	NOUN
ejpam-6216	574	17	through	through	ADP
ejpam-6216	574	18	apc	apc	PROPN
ejpam-6216	574	19	tas	tas	PROPN
ejpam-6216	574	20	research	research	PROPN
ejpam-6216	574	21	lab	lab	NOUN
ejpam-6216	574	22	.	.	PUNCT
ejpam-6216	575	1	references	reference	NOUN
ejpam-6216	575	2	[	[	X
ejpam-6216	575	3	1	1	NUM
ejpam-6216	575	4	]	]	PUNCT
ejpam-6216	575	5	l.	l.	PROPN
ejpam-6216	575	6	a.	a.	PROPN
ejpam-6216	575	7	zadeh	zadeh	PROPN
ejpam-6216	575	8	.	.	PUNCT
ejpam-6216	576	1	fuzzy	fuzzy	ADJ
ejpam-6216	576	2	sets	set	NOUN
ejpam-6216	576	3	.	.	PUNCT
ejpam-6216	577	1	information	information	NOUN
ejpam-6216	577	2	and	and	CCONJ
ejpam-6216	577	3	control	control	NOUN
ejpam-6216	577	4	,	,	PUNCT
ejpam-6216	577	5	8(3):338–353	8(3):338–353	NUM
ejpam-6216	577	6	,	,	PUNCT
ejpam-6216	577	7	1965	1965	NUM
ejpam-6216	577	8	.	.	PUNCT
ejpam-6216	578	1	[	[	X
ejpam-6216	578	2	2	2	NUM
ejpam-6216	578	3	]	]	PUNCT
ejpam-6216	578	4	l.	l.	PROPN
ejpam-6216	578	5	a.	a.	PROPN
ejpam-6216	578	6	zadeh	zadeh	PROPN
ejpam-6216	578	7	.	.	PUNCT
ejpam-6216	579	1	similarity	similarity	NOUN
ejpam-6216	579	2	relations	relation	NOUN
ejpam-6216	579	3	and	and	CCONJ
ejpam-6216	579	4	fuzzy	fuzzy	ADJ
ejpam-6216	579	5	orderings	ordering	NOUN
ejpam-6216	579	6	.	.	PUNCT
ejpam-6216	580	1	information	information	NOUN
ejpam-6216	580	2	sciences	sciences	PROPN
ejpam-6216	580	3	,	,	PUNCT
ejpam-6216	580	4	3(2):177	3(2):177	NUM
ejpam-6216	580	5	–	–	PUNCT
ejpam-6216	580	6	200	200	NUM
ejpam-6216	580	7	,	,	PUNCT
ejpam-6216	580	8	1971	1971	NUM
ejpam-6216	580	9	.	.	PUNCT
ejpam-6216	581	1	[	[	X
ejpam-6216	581	2	3	3	X
ejpam-6216	581	3	]	]	PUNCT
ejpam-6216	581	4	m.	m.	NOUN
ejpam-6216	581	5	k.	k.	PROPN
ejpam-6216	581	6	chakraborty	chakraborty	PROPN
ejpam-6216	581	7	and	and	CCONJ
ejpam-6216	581	8	m.	m.	NOUN
ejpam-6216	581	9	das	das	PROPN
ejpam-6216	581	10	.	.	PUNCT
ejpam-6216	582	1	studies	study	NOUN
ejpam-6216	582	2	in	in	ADP
ejpam-6216	582	3	fuzzy	fuzzy	ADJ
ejpam-6216	582	4	relations	relation	NOUN
ejpam-6216	582	5	over	over	ADP
ejpam-6216	582	6	fuzzy	fuzzy	ADJ
ejpam-6216	582	7	subsets	subset	NOUN
ejpam-6216	582	8	.	.	PUNCT
ejpam-6216	583	1	fuzzy	fuzzy	ADJ
ejpam-6216	583	2	sets	set	NOUN
ejpam-6216	583	3	and	and	CCONJ
ejpam-6216	583	4	systems	system	NOUN
ejpam-6216	583	5	,	,	PUNCT
ejpam-6216	583	6	9(1–3):79–89	9(1–3):79–89	NUM
ejpam-6216	583	7	,	,	PUNCT
ejpam-6216	583	8	1983	1983	NUM
ejpam-6216	583	9	.	.	PUNCT
ejpam-6216	584	1	[	[	X
ejpam-6216	584	2	4	4	X
ejpam-6216	584	3	]	]	PUNCT
ejpam-6216	584	4	m.	m.	NOUN
ejpam-6216	584	5	k.	k.	PROPN
ejpam-6216	584	6	chakraborty	chakraborty	PROPN
ejpam-6216	584	7	and	and	CCONJ
ejpam-6216	584	8	m.	m.	NOUN
ejpam-6216	584	9	das	das	PROPN
ejpam-6216	584	10	.	.	PUNCT
ejpam-6216	585	1	on	on	ADP
ejpam-6216	585	2	fuzzy	fuzzy	ADJ
ejpam-6216	585	3	equivalence	equivalence	NOUN
ejpam-6216	585	4	i.	i.	NOUN
ejpam-6216	585	5	fuzzy	fuzzy	PROPN
ejpam-6216	585	6	sets	set	NOUN
ejpam-6216	585	7	and	and	CCONJ
ejpam-6216	585	8	systems	system	NOUN
ejpam-6216	585	9	,	,	PUNCT
ejpam-6216	585	10	11(1):185–193	11(1):185–193	NUM
ejpam-6216	585	11	,	,	PUNCT
ejpam-6216	585	12	1983	1983	NUM
ejpam-6216	585	13	.	.	PUNCT
ejpam-6216	586	1	[	[	X
ejpam-6216	586	2	5	5	NUM
ejpam-6216	586	3	]	]	PUNCT
ejpam-6216	586	4	m.	m.	NOUN
ejpam-6216	586	5	k.	k.	PROPN
ejpam-6216	586	6	chakraborty	chakraborty	PROPN
ejpam-6216	586	7	and	and	CCONJ
ejpam-6216	586	8	m.	m.	NOUN
ejpam-6216	586	9	das	das	PROPN
ejpam-6216	586	10	.	.	PUNCT
ejpam-6216	587	1	on	on	ADP
ejpam-6216	587	2	fuzzy	fuzzy	ADJ
ejpam-6216	587	3	equivalence	equivalence	NOUN
ejpam-6216	587	4	ii	ii	PROPN
ejpam-6216	587	5	.	.	PUNCT
ejpam-6216	587	6	fuzzy	fuzzy	ADJ
ejpam-6216	587	7	sets	set	NOUN
ejpam-6216	587	8	and	and	CCONJ
ejpam-6216	587	9	systems	system	NOUN
ejpam-6216	587	10	,	,	PUNCT
ejpam-6216	587	11	11(1–3):299–307	11(1–3):299–307	NUM
ejpam-6216	587	12	,	,	PUNCT
ejpam-6216	587	13	1983	1983	NUM
ejpam-6216	587	14	.	.	PUNCT
ejpam-6216	588	1	[	[	X
ejpam-6216	588	2	6	6	NUM
ejpam-6216	588	3	]	]	PUNCT
ejpam-6216	588	4	a.	a.	NOUN
ejpam-6216	588	5	kauffmann	kauffmann	PROPN
ejpam-6216	588	6	.	.	PUNCT
ejpam-6216	589	1	introduction	introduction	NOUN
ejpam-6216	589	2	à	à	PROPN
ejpam-6216	589	3	la	la	PROPN
ejpam-6216	589	4	théorie	théorie	PROPN
ejpam-6216	589	5	des	des	X
ejpam-6216	589	6	sous	sous	ADJ
ejpam-6216	589	7	-	-	PUNCT
ejpam-6216	589	8	ensembles	ensemble	NOUN
ejpam-6216	589	9	flous	flous	ADJ
ejpam-6216	589	10	,	,	PUNCT
ejpam-6216	589	11	1	1	NUM
ejpam-6216	589	12	,	,	PUNCT
ejpam-6216	589	13	volume	volume	NOUN
ejpam-6216	589	14	1	1	NUM
ejpam-6216	589	15	.	.	PUNCT
ejpam-6216	590	1	masson	masson	PROPN
ejpam-6216	590	2	,	,	PUNCT
ejpam-6216	590	3	1973	1973	NUM
ejpam-6216	590	4	.	.	PUNCT
ejpam-6216	591	1	[	[	X
ejpam-6216	591	2	7	7	X
ejpam-6216	591	3	]	]	X
ejpam-6216	591	4	r.	r.	PROPN
ejpam-6216	591	5	t.	t.	PROPN
ejpam-6216	591	6	yeh	yeh	PROPN
ejpam-6216	591	7	and	and	CCONJ
ejpam-6216	591	8	s.	s.	PROPN
ejpam-6216	591	9	y.	y.	PROPN
ejpam-6216	591	10	bang	bang	PROPN
ejpam-6216	591	11	.	.	PUNCT
ejpam-6216	592	1	fuzzy	fuzzy	ADJ
ejpam-6216	592	2	relations	relation	NOUN
ejpam-6216	592	3	,	,	PUNCT
ejpam-6216	592	4	fuzzy	fuzzy	ADJ
ejpam-6216	592	5	graphs	graph	NOUN
ejpam-6216	592	6	,	,	PUNCT
ejpam-6216	592	7	and	and	CCONJ
ejpam-6216	592	8	their	their	PRON
ejpam-6216	592	9	applications	application	NOUN
ejpam-6216	592	10	to	to	ADP
ejpam-6216	592	11	clustering	cluster	VERB
ejpam-6216	592	12	analysis	analysis	NOUN
ejpam-6216	592	13	.	.	PUNCT
ejpam-6216	593	1	in	in	ADP
ejpam-6216	593	2	fuzzy	fuzzy	ADJ
ejpam-6216	593	3	sets	set	NOUN
ejpam-6216	593	4	and	and	CCONJ
ejpam-6216	593	5	their	their	PRON
ejpam-6216	593	6	applications	application	NOUN
ejpam-6216	593	7	to	to	PART
ejpam-6216	593	8	cognitive	cognitive	VERB
ejpam-6216	593	9	and	and	CCONJ
ejpam-6216	593	10	decision	decision	NOUN
ejpam-6216	593	11	processes	process	NOUN
ejpam-6216	593	12	,	,	PUNCT
ejpam-6216	593	13	pages	page	NOUN
ejpam-6216	593	14	125–149	125–149	NUM
ejpam-6216	593	15	.	.	PUNCT
ejpam-6216	593	16	academic	academic	ADJ
ejpam-6216	593	17	press	press	NOUN
ejpam-6216	593	18	,	,	PUNCT
ejpam-6216	593	19	1975	1975	NUM
ejpam-6216	593	20	.	.	PUNCT
ejpam-6216	594	1	[	[	X
ejpam-6216	594	2	8	8	NUM
ejpam-6216	594	3	]	]	PUNCT
ejpam-6216	594	4	a.	a.	NOUN
ejpam-6216	594	5	rosenfeld	rosenfeld	PROPN
ejpam-6216	594	6	.	.	PUNCT
ejpam-6216	595	1	fuzzy	fuzzy	ADJ
ejpam-6216	595	2	graphs	graph	NOUN
ejpam-6216	595	3	.	.	PUNCT
ejpam-6216	596	1	in	in	ADP
ejpam-6216	596	2	fuzzy	fuzzy	ADJ
ejpam-6216	596	3	sets	set	NOUN
ejpam-6216	596	4	and	and	CCONJ
ejpam-6216	596	5	their	their	PRON
ejpam-6216	596	6	applications	application	NOUN
ejpam-6216	596	7	to	to	PART
ejpam-6216	596	8	cognitive	cognitive	VERB
ejpam-6216	596	9	and	and	CCONJ
ejpam-6216	596	10	decision	decision	NOUN
ejpam-6216	596	11	processes	process	NOUN
ejpam-6216	596	12	,	,	PUNCT
ejpam-6216	596	13	pages	page	NOUN
ejpam-6216	596	14	77–95	77–95	NUM
ejpam-6216	596	15	.	.	PUNCT
ejpam-6216	596	16	academic	academic	ADJ
ejpam-6216	596	17	press	press	NOUN
ejpam-6216	596	18	,	,	PUNCT
ejpam-6216	596	19	1975	1975	NUM
ejpam-6216	596	20	.	.	PUNCT
ejpam-6216	597	1	[	[	X
ejpam-6216	597	2	9	9	NUM
ejpam-6216	597	3	]	]	PUNCT
ejpam-6216	597	4	p.	p.	NOUN
ejpam-6216	597	5	bhattacharya	bhattacharya	PROPN
ejpam-6216	597	6	.	.	PUNCT
ejpam-6216	598	1	some	some	DET
ejpam-6216	598	2	remarks	remark	NOUN
ejpam-6216	598	3	on	on	ADP
ejpam-6216	598	4	fuzzy	fuzzy	ADJ
ejpam-6216	598	5	graphs	graph	NOUN
ejpam-6216	598	6	.	.	PUNCT
ejpam-6216	599	1	pattern	pattern	NOUN
ejpam-6216	599	2	recognition	recognition	NOUN
ejpam-6216	599	3	letters	letter	NOUN
ejpam-6216	599	4	,	,	PUNCT
ejpam-6216	599	5	6(5):297–302	6(5):297–302	NOUN
ejpam-6216	599	6	,	,	PUNCT
ejpam-6216	599	7	1987	1987	NUM
ejpam-6216	599	8	.	.	PUNCT
ejpam-6216	600	1	[	[	X
ejpam-6216	600	2	10	10	NUM
ejpam-6216	600	3	]	]	X
ejpam-6216	600	4	s.	s.	PROPN
ejpam-6216	600	5	banerjee	banerjee	PROPN
ejpam-6216	600	6	.	.	PUNCT
ejpam-6216	601	1	an	an	DET
ejpam-6216	601	2	optimal	optimal	ADJ
ejpam-6216	601	3	algorithm	algorithm	NOUN
ejpam-6216	601	4	to	to	PART
ejpam-6216	601	5	find	find	VERB
ejpam-6216	601	6	the	the	DET
ejpam-6216	601	7	degrees	degree	NOUN
ejpam-6216	601	8	of	of	ADP
ejpam-6216	601	9	connectedness	connectedness	NOUN
ejpam-6216	601	10	in	in	ADP
ejpam-6216	601	11	an	an	DET
ejpam-6216	601	12	undirected	undirected	ADJ
ejpam-6216	601	13	edge	edge	NOUN
ejpam-6216	601	14	-	-	PUNCT
ejpam-6216	601	15	weighted	weight	VERB
ejpam-6216	601	16	graph	graph	NOUN
ejpam-6216	601	17	.	.	PUNCT
ejpam-6216	602	1	pattern	pattern	NOUN
ejpam-6216	602	2	recognition	recognition	NOUN
ejpam-6216	602	3	letters	letter	NOUN
ejpam-6216	602	4	,	,	PUNCT
ejpam-6216	602	5	12(7):421–424	12(7):421–424	NUM
ejpam-6216	602	6	,	,	PUNCT
ejpam-6216	602	7	1991	1991	NUM
ejpam-6216	602	8	.	.	PUNCT
ejpam-6216	603	1	[	[	X
ejpam-6216	603	2	11	11	NUM
ejpam-6216	603	3	]	]	PUNCT
ejpam-6216	603	4	l.	l.	PROPN
ejpam-6216	603	5	kóczy	kóczy	PROPN
ejpam-6216	603	6	.	.	PUNCT
ejpam-6216	603	7	fuzzy	fuzzy	ADJ
ejpam-6216	603	8	graphs	graph	NOUN
ejpam-6216	603	9	in	in	ADP
ejpam-6216	603	10	the	the	DET
ejpam-6216	603	11	evaluation	evaluation	NOUN
ejpam-6216	603	12	and	and	CCONJ
ejpam-6216	603	13	optimization	optimization	NOUN
ejpam-6216	603	14	of	of	ADP
ejpam-6216	603	15	networks	network	NOUN
ejpam-6216	603	16	.	.	PUNCT
ejpam-6216	604	1	fuzzy	fuzzy	ADJ
ejpam-6216	604	2	sets	set	NOUN
ejpam-6216	604	3	and	and	CCONJ
ejpam-6216	604	4	systems	system	NOUN
ejpam-6216	604	5	,	,	PUNCT
ejpam-6216	604	6	46(3):307–319	46(3):307–319	PROPN
ejpam-6216	604	7	,	,	PUNCT
ejpam-6216	604	8	1992	1992	NUM
ejpam-6216	604	9	.	.	PUNCT
ejpam-6216	605	1	[	[	X
ejpam-6216	605	2	12	12	NUM
ejpam-6216	605	3	]	]	PUNCT
ejpam-6216	605	4	j.	j.	PROPN
ejpam-6216	605	5	k.	k.	PROPN
ejpam-6216	605	6	udupa	udupa	PROPN
ejpam-6216	605	7	and	and	CCONJ
ejpam-6216	605	8	s.	s.	PROPN
ejpam-6216	605	9	samarasekera	samarasekera	PROPN
ejpam-6216	605	10	.	.	PUNCT
ejpam-6216	606	1	fuzzy	fuzzy	ADJ
ejpam-6216	606	2	connectedness	connectedness	NOUN
ejpam-6216	606	3	and	and	CCONJ
ejpam-6216	606	4	object	object	VERB
ejpam-6216	606	5	definition	definition	NOUN
ejpam-6216	606	6	:	:	PUNCT
ejpam-6216	606	7	theory	theory	NOUN
ejpam-6216	606	8	,	,	PUNCT
ejpam-6216	606	9	a.	a.	PROPN
ejpam-6216	606	10	arif	arif	PROPN
ejpam-6216	606	11	et	et	PROPN
ejpam-6216	606	12	al	al	PROPN
ejpam-6216	606	13	.	.	PUNCT
ejpam-6216	606	14	/	/	SYM
ejpam-6216	606	15	eur	eur	PROPN
ejpam-6216	606	16	.	.	PUNCT
ejpam-6216	607	1	j.	j.	PROPN
ejpam-6216	607	2	pure	pure	PROPN
ejpam-6216	607	3	appl	appl	PROPN
ejpam-6216	607	4	.	.	PROPN
ejpam-6216	607	5	math	math	PROPN
ejpam-6216	607	6	,	,	PUNCT
ejpam-6216	607	7	18	18	NUM
ejpam-6216	607	8	(	(	PUNCT
ejpam-6216	607	9	4	4	NUM
ejpam-6216	607	10	)	)	PUNCT
ejpam-6216	607	11	(	(	PUNCT
ejpam-6216	607	12	2025	2025	NUM
ejpam-6216	607	13	)	)	PUNCT
ejpam-6216	607	14	,	,	PUNCT
ejpam-6216	607	15	6216	6216	NUM
ejpam-6216	607	16	32	32	NUM
ejpam-6216	607	17	of	of	ADP
ejpam-6216	607	18	36	36	NUM
ejpam-6216	607	19	algorithms	algorithm	NOUN
ejpam-6216	607	20	,	,	PUNCT
ejpam-6216	607	21	and	and	CCONJ
ejpam-6216	607	22	applications	application	NOUN
ejpam-6216	607	23	in	in	ADP
ejpam-6216	607	24	image	image	NOUN
ejpam-6216	607	25	segmentation	segmentation	NOUN
ejpam-6216	607	26	.	.	PUNCT
ejpam-6216	608	1	graphical	graphical	ADJ
ejpam-6216	608	2	models	model	NOUN
ejpam-6216	608	3	and	and	CCONJ
ejpam-6216	608	4	image	image	NOUN
ejpam-6216	608	5	processing	processing	NOUN
ejpam-6216	608	6	,	,	PUNCT
ejpam-6216	608	7	58(3):246–261	58(3):246–261	PROPN
ejpam-6216	608	8	,	,	PUNCT
ejpam-6216	608	9	1996	1996	NUM
ejpam-6216	608	10	.	.	PUNCT
ejpam-6216	609	1	[	[	X
ejpam-6216	609	2	13	13	NUM
ejpam-6216	609	3	]	]	PUNCT
ejpam-6216	609	4	k.	k.	PROPN
ejpam-6216	609	5	r.	r.	PROPN
ejpam-6216	609	6	bhutani	bhutani	PROPN
ejpam-6216	609	7	and	and	CCONJ
ejpam-6216	609	8	a.	a.	PROPN
ejpam-6216	609	9	rosenfeld	rosenfeld	PROPN
ejpam-6216	609	10	.	.	PUNCT
ejpam-6216	610	1	fuzzy	fuzzy	ADJ
ejpam-6216	610	2	end	end	NOUN
ejpam-6216	610	3	nodes	node	NOUN
ejpam-6216	610	4	in	in	ADP
ejpam-6216	610	5	fuzzy	fuzzy	ADJ
ejpam-6216	610	6	graphs	graph	NOUN
ejpam-6216	610	7	.	.	PUNCT
ejpam-6216	611	1	information	information	NOUN
ejpam-6216	611	2	sciences	science	NOUN
ejpam-6216	611	3	,	,	PUNCT
ejpam-6216	611	4	152:323–326	152:323–326	NUM
ejpam-6216	611	5	,	,	PUNCT
ejpam-6216	611	6	2003	2003	NUM
ejpam-6216	611	7	.	.	PUNCT
ejpam-6216	612	1	[	[	X
ejpam-6216	612	2	14	14	NUM
ejpam-6216	612	3	]	]	PUNCT
ejpam-6216	612	4	k.	k.	PROPN
ejpam-6216	612	5	r.	r.	PROPN
ejpam-6216	612	6	bhutani	bhutani	PROPN
ejpam-6216	612	7	and	and	CCONJ
ejpam-6216	612	8	a.	a.	PROPN
ejpam-6216	612	9	rosenfeld	rosenfeld	PROPN
ejpam-6216	612	10	.	.	PUNCT
ejpam-6216	613	1	geodesics	geodesic	NOUN
ejpam-6216	613	2	in	in	ADP
ejpam-6216	613	3	fuzzy	fuzzy	ADJ
ejpam-6216	613	4	graphs	graph	NOUN
ejpam-6216	613	5	.	.	PUNCT
ejpam-6216	614	1	electronic	electronic	ADJ
ejpam-6216	614	2	notes	note	NOUN
ejpam-6216	614	3	in	in	ADP
ejpam-6216	614	4	discrete	discrete	ADJ
ejpam-6216	614	5	mathematics	mathematic	NOUN
ejpam-6216	614	6	,	,	PUNCT
ejpam-6216	614	7	15:49–52	15:49–52	NUM
ejpam-6216	614	8	,	,	PUNCT
ejpam-6216	614	9	2003	2003	NUM
ejpam-6216	614	10	.	.	PUNCT
ejpam-6216	615	1	[	[	X
ejpam-6216	615	2	15	15	NUM
ejpam-6216	615	3	]	]	X
ejpam-6216	615	4	s.	s.	PROPN
ejpam-6216	615	5	mathew	mathew	PROPN
ejpam-6216	615	6	and	and	CCONJ
ejpam-6216	615	7	m.	m.	PROPN
ejpam-6216	615	8	s.	s.	PROPN
ejpam-6216	615	9	sunitha	sunitha	PROPN
ejpam-6216	615	10	.	.	PUNCT
ejpam-6216	616	1	node	node	ADJ
ejpam-6216	616	2	connectivity	connectivity	NOUN
ejpam-6216	616	3	and	and	CCONJ
ejpam-6216	616	4	arc	arc	NOUN
ejpam-6216	616	5	connectivity	connectivity	NOUN
ejpam-6216	616	6	of	of	ADP
ejpam-6216	616	7	a	a	DET
ejpam-6216	616	8	fuzzy	fuzzy	ADJ
ejpam-6216	616	9	graph	graph	NOUN
ejpam-6216	616	10	.	.	PUNCT
ejpam-6216	617	1	information	information	NOUN
ejpam-6216	617	2	sciences	sciences	PROPN
ejpam-6216	617	3	,	,	PUNCT
ejpam-6216	617	4	180(4):519–531	180(4):519–531	NUM
ejpam-6216	617	5	,	,	PUNCT
ejpam-6216	617	6	2010	2010	NUM
ejpam-6216	617	7	.	.	PUNCT
ejpam-6216	618	1	[	[	X
ejpam-6216	618	2	16	16	NUM
ejpam-6216	618	3	]	]	PUNCT
ejpam-6216	618	4	m.	m.	NOUN
ejpam-6216	618	5	s.	s.	PROPN
ejpam-6216	618	6	sunitha	sunitha	PROPN
ejpam-6216	618	7	and	and	CCONJ
ejpam-6216	618	8	s.	s.	PROPN
ejpam-6216	618	9	mathew	mathew	PROPN
ejpam-6216	618	10	.	.	PUNCT
ejpam-6216	619	1	fuzzy	fuzzy	ADJ
ejpam-6216	619	2	graph	graph	NOUN
ejpam-6216	619	3	theory	theory	NOUN
ejpam-6216	619	4	:	:	PUNCT
ejpam-6216	619	5	a	a	DET
ejpam-6216	619	6	survey	survey	NOUN
ejpam-6216	619	7	.	.	PUNCT
ejpam-6216	620	1	annals	annal	NOUN
ejpam-6216	620	2	of	of	ADP
ejpam-6216	620	3	pure	pure	ADJ
ejpam-6216	620	4	and	and	CCONJ
ejpam-6216	620	5	applied	applied	ADJ
ejpam-6216	620	6	mathematics	mathematic	NOUN
ejpam-6216	620	7	,	,	PUNCT
ejpam-6216	620	8	4(1):92–110	4(1):92–110	NUM
ejpam-6216	620	9	,	,	PUNCT
ejpam-6216	620	10	2013	2013	NUM
ejpam-6216	620	11	.	.	PUNCT
ejpam-6216	621	1	[	[	X
ejpam-6216	621	2	17	17	NUM
ejpam-6216	621	3	]	]	PUNCT
ejpam-6216	621	4	m.	m.	NOUN
ejpam-6216	621	5	binu	binu	NOUN
ejpam-6216	621	6	,	,	PUNCT
ejpam-6216	621	7	s.	s.	PROPN
ejpam-6216	621	8	mathew	mathew	PROPN
ejpam-6216	621	9	,	,	PUNCT
ejpam-6216	621	10	and	and	CCONJ
ejpam-6216	621	11	j.	j.	PROPN
ejpam-6216	621	12	n.	n.	PROPN
ejpam-6216	621	13	mordeson	mordeson	PROPN
ejpam-6216	621	14	.	.	PUNCT
ejpam-6216	622	1	connectivity	connectivity	NOUN
ejpam-6216	622	2	status	status	NOUN
ejpam-6216	622	3	of	of	ADP
ejpam-6216	622	4	fuzzy	fuzzy	ADJ
ejpam-6216	622	5	graphs	graph	NOUN
ejpam-6216	622	6	.	.	PUNCT
ejpam-6216	623	1	information	information	NOUN
ejpam-6216	623	2	sciences	sciences	PROPN
ejpam-6216	623	3	,	,	PUNCT
ejpam-6216	623	4	573:382–395	573:382–395	NUM
ejpam-6216	623	5	,	,	PUNCT
ejpam-6216	623	6	2021	2021	NUM
ejpam-6216	623	7	.	.	PUNCT
ejpam-6216	624	1	[	[	X
ejpam-6216	624	2	18	18	NUM
ejpam-6216	624	3	]	]	PUNCT
ejpam-6216	624	4	a.	a.	NOUN
ejpam-6216	624	5	somasundaram	somasundaram	PROPN
ejpam-6216	624	6	and	and	CCONJ
ejpam-6216	624	7	s.	s.	PROPN
ejpam-6216	624	8	somasundaram	somasundaram	PROPN
ejpam-6216	624	9	.	.	PUNCT
ejpam-6216	625	1	domination	domination	NOUN
ejpam-6216	625	2	in	in	ADP
ejpam-6216	625	3	fuzzy	fuzzy	ADJ
ejpam-6216	625	4	graphs	graph	NOUN
ejpam-6216	625	5	–	–	PUNCT
ejpam-6216	625	6	i.	i.	NOUN
ejpam-6216	625	7	pattern	pattern	NOUN
ejpam-6216	625	8	recognition	recognition	NOUN
ejpam-6216	625	9	letters	letter	NOUN
ejpam-6216	625	10	,	,	PUNCT
ejpam-6216	625	11	19(9):787–791	19(9):787–791	NUM
ejpam-6216	625	12	,	,	PUNCT
ejpam-6216	625	13	1998	1998	NUM
ejpam-6216	625	14	.	.	PUNCT
ejpam-6216	626	1	[	[	X
ejpam-6216	626	2	19	19	NUM
ejpam-6216	626	3	]	]	PUNCT
ejpam-6216	626	4	a.	a.	NOUN
ejpam-6216	626	5	n.	n.	PROPN
ejpam-6216	626	6	gani	gani	PROPN
ejpam-6216	626	7	and	and	CCONJ
ejpam-6216	626	8	p.	p.	PROPN
ejpam-6216	626	9	vadivel	vadivel	PROPN
ejpam-6216	626	10	.	.	PUNCT
ejpam-6216	627	1	on	on	ADP
ejpam-6216	627	2	domination	domination	NOUN
ejpam-6216	627	3	,	,	PUNCT
ejpam-6216	627	4	independence	independence	NOUN
ejpam-6216	627	5	and	and	CCONJ
ejpam-6216	627	6	irredunance	irredunance	NOUN
ejpam-6216	627	7	in	in	ADP
ejpam-6216	627	8	fuzzy	fuzzy	ADJ
ejpam-6216	627	9	graph	graph	NOUN
ejpam-6216	627	10	.	.	PUNCT
ejpam-6216	628	1	international	international	ADJ
ejpam-6216	628	2	review	review	NOUN
ejpam-6216	628	3	of	of	ADP
ejpam-6216	628	4	fuzzy	fuzzy	ADJ
ejpam-6216	628	5	mathematics	mathematic	NOUN
ejpam-6216	628	6	,	,	PUNCT
ejpam-6216	628	7	3(2):191–198	3(2):191–198	NUM
ejpam-6216	628	8	,	,	PUNCT
ejpam-6216	628	9	2008	2008	NUM
ejpam-6216	628	10	.	.	PUNCT
ejpam-6216	629	1	[	[	X
ejpam-6216	629	2	20	20	NUM
ejpam-6216	629	3	]	]	X
ejpam-6216	629	4	o.	o.	NOUN
ejpam-6216	629	5	t.	t.	PROPN
ejpam-6216	629	6	manjusha	manjusha	PROPN
ejpam-6216	629	7	and	and	CCONJ
ejpam-6216	629	8	m.	m.	PROPN
ejpam-6216	629	9	s.	s.	PROPN
ejpam-6216	629	10	sunitha	sunitha	PROPN
ejpam-6216	629	11	.	.	PUNCT
ejpam-6216	630	1	notes	note	NOUN
ejpam-6216	630	2	on	on	ADP
ejpam-6216	630	3	domination	domination	NOUN
ejpam-6216	630	4	in	in	ADP
ejpam-6216	630	5	fuzzy	fuzzy	ADJ
ejpam-6216	630	6	graphs	graph	NOUN
ejpam-6216	630	7	.	.	PUNCT
ejpam-6216	631	1	journal	journal	NOUN
ejpam-6216	631	2	of	of	ADP
ejpam-6216	631	3	intelligent	intelligent	ADJ
ejpam-6216	631	4	&	&	CCONJ
ejpam-6216	631	5	fuzzy	fuzzy	ADJ
ejpam-6216	631	6	systems	system	NOUN
ejpam-6216	631	7	,	,	PUNCT
ejpam-6216	631	8	27(6):3205–3212	27(6):3205–3212	NUM
ejpam-6216	631	9	,	,	PUNCT
ejpam-6216	631	10	2014	2014	NUM
ejpam-6216	631	11	.	.	PUNCT
ejpam-6216	632	1	[	[	X
ejpam-6216	632	2	21	21	NUM
ejpam-6216	632	3	]	]	PUNCT
ejpam-6216	632	4	a.	a.	NOUN
ejpam-6216	632	5	a.	a.	NOUN
ejpam-6216	632	6	talebi	talebi	PROPN
ejpam-6216	632	7	,	,	PUNCT
ejpam-6216	632	8	g.	g.	PROPN
ejpam-6216	632	9	muhiuddin	muhiuddin	PROPN
ejpam-6216	632	10	,	,	PUNCT
ejpam-6216	632	11	s.	s.	PROPN
ejpam-6216	632	12	h.	h.	PROPN
ejpam-6216	632	13	sadati	sadati	PROPN
ejpam-6216	632	14	,	,	PUNCT
ejpam-6216	632	15	and	and	CCONJ
ejpam-6216	632	16	h.	h.	PROPN
ejpam-6216	632	17	rashmanlou	rashmanlou	PROPN
ejpam-6216	632	18	.	.	PUNCT
ejpam-6216	633	1	new	new	ADJ
ejpam-6216	633	2	concepts	concept	NOUN
ejpam-6216	633	3	of	of	ADP
ejpam-6216	633	4	domination	domination	NOUN
ejpam-6216	633	5	in	in	ADP
ejpam-6216	633	6	fuzzy	fuzzy	ADJ
ejpam-6216	633	7	graph	graph	NOUN
ejpam-6216	633	8	structures	structure	NOUN
ejpam-6216	633	9	with	with	ADP
ejpam-6216	633	10	application	application	NOUN
ejpam-6216	633	11	.	.	PUNCT
ejpam-6216	634	1	journal	journal	NOUN
ejpam-6216	634	2	of	of	ADP
ejpam-6216	634	3	intelligent	intelligent	ADJ
ejpam-6216	634	4	&	&	CCONJ
ejpam-6216	634	5	fuzzy	fuzzy	ADJ
ejpam-6216	634	6	systems	system	NOUN
ejpam-6216	634	7	,	,	PUNCT
ejpam-6216	634	8	42(4):3705–3718	42(4):3705–3718	NUM
ejpam-6216	634	9	,	,	PUNCT
ejpam-6216	634	10	2022	2022	NUM
ejpam-6216	634	11	.	.	PUNCT
ejpam-6216	635	1	[	[	X
ejpam-6216	635	2	22	22	NUM
ejpam-6216	635	3	]	]	X
ejpam-6216	635	4	w.	w.	PROPN
ejpam-6216	635	5	r.	r.	PROPN
ejpam-6216	635	6	zhang	zhang	PROPN
ejpam-6216	635	7	.	.	PUNCT
ejpam-6216	636	1	bipolar	bipolar	ADJ
ejpam-6216	636	2	fuzzy	fuzzy	ADJ
ejpam-6216	636	3	sets	set	NOUN
ejpam-6216	636	4	and	and	CCONJ
ejpam-6216	636	5	relations	relation	NOUN
ejpam-6216	636	6	:	:	PUNCT
ejpam-6216	636	7	a	a	DET
ejpam-6216	636	8	computational	computational	ADJ
ejpam-6216	636	9	framework	framework	NOUN
ejpam-6216	636	10	for	for	ADP
ejpam-6216	636	11	cognitive	cognitive	ADJ
ejpam-6216	636	12	modeling	modeling	NOUN
ejpam-6216	636	13	and	and	CCONJ
ejpam-6216	636	14	multiagent	multiagent	ADJ
ejpam-6216	636	15	decision	decision	NOUN
ejpam-6216	636	16	analysis	analysis	NOUN
ejpam-6216	636	17	.	.	PUNCT
ejpam-6216	637	1	in	in	ADP
ejpam-6216	637	2	nafips	nafip	NOUN
ejpam-6216	637	3	/	/	SYM
ejpam-6216	637	4	ifis	ifis	PROPN
ejpam-6216	637	5	/	/	SYM
ejpam-6216	637	6	nasa’94	nasa’94	PROPN
ejpam-6216	637	7	.	.	PUNCT
ejpam-6216	638	1	proceedings	proceeding	NOUN
ejpam-6216	638	2	of	of	ADP
ejpam-6216	638	3	the	the	DET
ejpam-6216	638	4	first	first	ADJ
ejpam-6216	638	5	international	international	ADJ
ejpam-6216	638	6	joint	joint	ADJ
ejpam-6216	638	7	conference	conference	NOUN
ejpam-6216	638	8	of	of	ADP
ejpam-6216	638	9	the	the	DET
ejpam-6216	638	10	north	north	ADJ
ejpam-6216	638	11	american	american	ADJ
ejpam-6216	638	12	fuzzy	fuzzy	ADJ
ejpam-6216	638	13	information	information	NOUN
ejpam-6216	638	14	processing	processing	NOUN
ejpam-6216	638	15	society	society	NOUN
ejpam-6216	638	16	biannual	biannual	ADJ
ejpam-6216	638	17	conference	conference	NOUN
ejpam-6216	638	18	.	.	PUNCT
ejpam-6216	639	1	the	the	DET
ejpam-6216	639	2	industrial	industrial	ADJ
ejpam-6216	639	3	fuzzy	fuzzy	ADJ
ejpam-6216	639	4	control	control	NOUN
ejpam-6216	639	5	and	and	CCONJ
ejpam-6216	639	6	intelligent	intelligent	ADJ
ejpam-6216	639	7	systems	system	NOUN
ejpam-6216	639	8	conference	conference	NOUN
ejpam-6216	639	9	,	,	PUNCT
ejpam-6216	639	10	pages	page	NOUN
ejpam-6216	639	11	305–309	305–309	NUM
ejpam-6216	639	12	.	.	PUNCT
ejpam-6216	640	1	ieee	ieee	NOUN
ejpam-6216	640	2	,	,	PUNCT
ejpam-6216	640	3	december	december	PROPN
ejpam-6216	640	4	1994	1994	NUM
ejpam-6216	640	5	.	.	PUNCT
ejpam-6216	641	1	[	[	X
ejpam-6216	641	2	23	23	NUM
ejpam-6216	641	3	]	]	PUNCT
ejpam-6216	641	4	m.	m.	NOUN
ejpam-6216	641	5	akram	akram	PROPN
ejpam-6216	641	6	.	.	PUNCT
ejpam-6216	642	1	bipolar	bipolar	ADJ
ejpam-6216	642	2	fuzzy	fuzzy	ADJ
ejpam-6216	642	3	graphs	graph	NOUN
ejpam-6216	642	4	.	.	PUNCT
ejpam-6216	643	1	information	information	NOUN
ejpam-6216	643	2	sciences	sciences	PROPN
ejpam-6216	643	3	,	,	PUNCT
ejpam-6216	643	4	181(24):5548–5564	181(24):5548–5564	NUM
ejpam-6216	643	5	,	,	PUNCT
ejpam-6216	643	6	2011	2011	NUM
ejpam-6216	643	7	.	.	PUNCT
ejpam-6216	644	1	[	[	X
ejpam-6216	644	2	24	24	NUM
ejpam-6216	644	3	]	]	PUNCT
ejpam-6216	644	4	m.	m.	NOUN
ejpam-6216	644	5	akram	akram	PROPN
ejpam-6216	644	6	.	.	PUNCT
ejpam-6216	645	1	bipolar	bipolar	ADJ
ejpam-6216	645	2	fuzzy	fuzzy	ADJ
ejpam-6216	645	3	graphs	graph	NOUN
ejpam-6216	645	4	with	with	ADP
ejpam-6216	645	5	applications	application	NOUN
ejpam-6216	645	6	.	.	PUNCT
ejpam-6216	646	1	knowledge	knowledge	NOUN
ejpam-6216	646	2	-	-	PUNCT
ejpam-6216	646	3	based	base	VERB
ejpam-6216	646	4	systems	system	NOUN
ejpam-6216	646	5	,	,	PUNCT
ejpam-6216	646	6	39:1	39:1	NUM
ejpam-6216	646	7	–	–	PUNCT
ejpam-6216	646	8	8	8	NUM
ejpam-6216	646	9	,	,	PUNCT
ejpam-6216	646	10	2013	2013	NUM
ejpam-6216	646	11	.	.	PUNCT
ejpam-6216	647	1	[	[	X
ejpam-6216	647	2	25	25	NUM
ejpam-6216	647	3	]	]	PUNCT
ejpam-6216	647	4	m.	m.	NOUN
ejpam-6216	647	5	akram	akram	PROPN
ejpam-6216	647	6	and	and	CCONJ
ejpam-6216	647	7	r.	r.	PROPN
ejpam-6216	647	8	akmal	akmal	PROPN
ejpam-6216	647	9	.	.	PUNCT
ejpam-6216	648	1	certain	certain	ADJ
ejpam-6216	648	2	operations	operation	NOUN
ejpam-6216	648	3	on	on	ADP
ejpam-6216	648	4	bipolar	bipolar	ADJ
ejpam-6216	648	5	fuzzy	fuzzy	ADJ
ejpam-6216	648	6	graph	graph	NOUN
ejpam-6216	648	7	structures	structure	NOUN
ejpam-6216	648	8	.	.	PUNCT
ejpam-6216	649	1	applications	application	NOUN
ejpam-6216	649	2	and	and	CCONJ
ejpam-6216	649	3	applied	apply	VERB
ejpam-6216	649	4	mathematics	mathematic	NOUN
ejpam-6216	649	5	:	:	PUNCT
ejpam-6216	649	6	an	an	DET
ejpam-6216	649	7	international	international	ADJ
ejpam-6216	649	8	journal	journal	NOUN
ejpam-6216	649	9	(	(	PUNCT
ejpam-6216	649	10	aam	aam	PROPN
ejpam-6216	649	11	)	)	PUNCT
ejpam-6216	649	12	,	,	PUNCT
ejpam-6216	649	13	11(1):30	11(1):30	NUM
ejpam-6216	649	14	,	,	PUNCT
ejpam-6216	649	15	2016	2016	NUM
ejpam-6216	649	16	.	.	PUNCT
ejpam-6216	650	1	[	[	X
ejpam-6216	650	2	26	26	NUM
ejpam-6216	650	3	]	]	PUNCT
ejpam-6216	650	4	m.	m.	NOUN
ejpam-6216	650	5	akram	akram	PROPN
ejpam-6216	650	6	and	and	CCONJ
ejpam-6216	650	7	n.	n.	PROPN
ejpam-6216	650	8	waseem	waseem	PROPN
ejpam-6216	650	9	.	.	PUNCT
ejpam-6216	651	1	novel	novel	ADJ
ejpam-6216	651	2	applications	application	NOUN
ejpam-6216	651	3	of	of	ADP
ejpam-6216	651	4	bipolar	bipolar	ADJ
ejpam-6216	651	5	fuzzy	fuzzy	ADJ
ejpam-6216	651	6	graphs	graph	NOUN
ejpam-6216	651	7	to	to	PART
ejpam-6216	651	8	decision	decision	VERB
ejpam-6216	651	9	making	make	VERB
ejpam-6216	651	10	problems	problem	NOUN
ejpam-6216	651	11	.	.	PUNCT
ejpam-6216	652	1	journal	journal	NOUN
ejpam-6216	652	2	of	of	ADP
ejpam-6216	652	3	applied	apply	VERB
ejpam-6216	652	4	mathematics	mathematic	NOUN
ejpam-6216	652	5	and	and	CCONJ
ejpam-6216	652	6	computing	computing	NOUN
ejpam-6216	652	7	,	,	PUNCT
ejpam-6216	652	8	56:73–91	56:73–91	NUM
ejpam-6216	652	9	,	,	PUNCT
ejpam-6216	652	10	2018	2018	NUM
ejpam-6216	652	11	.	.	PUNCT
ejpam-6216	653	1	[	[	X
ejpam-6216	653	2	27	27	NUM
ejpam-6216	653	3	]	]	X
ejpam-6216	653	4	s.	s.	PROPN
ejpam-6216	653	5	poulik	poulik	PROPN
ejpam-6216	653	6	and	and	CCONJ
ejpam-6216	653	7	g.	g.	PROPN
ejpam-6216	653	8	ghorai	ghorai	PROPN
ejpam-6216	653	9	.	.	PUNCT
ejpam-6216	654	1	certain	certain	ADJ
ejpam-6216	654	2	indices	index	NOUN
ejpam-6216	654	3	of	of	ADP
ejpam-6216	654	4	graphs	graph	NOUN
ejpam-6216	654	5	under	under	ADP
ejpam-6216	654	6	bipolar	bipolar	ADJ
ejpam-6216	654	7	fuzzy	fuzzy	ADJ
ejpam-6216	654	8	environment	environment	NOUN
ejpam-6216	654	9	with	with	ADP
ejpam-6216	654	10	applications	application	NOUN
ejpam-6216	654	11	.	.	PUNCT
ejpam-6216	655	1	soft	soft	ADJ
ejpam-6216	655	2	computing	computing	NOUN
ejpam-6216	655	3	,	,	PUNCT
ejpam-6216	655	4	24:5119–5131	24:5119–5131	NUM
ejpam-6216	655	5	,	,	PUNCT
ejpam-6216	655	6	2020	2020	NUM
ejpam-6216	655	7	.	.	PUNCT
ejpam-6216	656	1	[	[	X
ejpam-6216	656	2	28	28	NUM
ejpam-6216	656	3	]	]	X
ejpam-6216	656	4	m.	m.	NOUN
ejpam-6216	656	5	akram	akram	PROPN
ejpam-6216	656	6	,	,	PUNCT
ejpam-6216	656	7	m.	m.	NOUN
ejpam-6216	656	8	sarwar	sarwar	PROPN
ejpam-6216	656	9	,	,	PUNCT
ejpam-6216	656	10	and	and	CCONJ
ejpam-6216	656	11	w.	w.	PROPN
ejpam-6216	656	12	a.	a.	PROPN
ejpam-6216	656	13	dudek	dudek	PROPN
ejpam-6216	656	14	.	.	PUNCT
ejpam-6216	657	1	special	special	ADJ
ejpam-6216	657	2	types	type	NOUN
ejpam-6216	657	3	of	of	ADP
ejpam-6216	657	4	bipolar	bipolar	ADJ
ejpam-6216	657	5	fuzzy	fuzzy	ADJ
ejpam-6216	657	6	graphs	graph	NOUN
ejpam-6216	657	7	.	.	PUNCT
ejpam-6216	658	1	in	in	ADP
ejpam-6216	658	2	graphs	graph	NOUN
ejpam-6216	658	3	for	for	ADP
ejpam-6216	658	4	the	the	DET
ejpam-6216	658	5	analysis	analysis	NOUN
ejpam-6216	658	6	of	of	ADP
ejpam-6216	658	7	bipolar	bipolar	ADJ
ejpam-6216	658	8	fuzzy	fuzzy	ADJ
ejpam-6216	658	9	information	information	NOUN
ejpam-6216	658	10	,	,	PUNCT
ejpam-6216	658	11	pages	page	NOUN
ejpam-6216	658	12	127–159	127–159	NUM
ejpam-6216	658	13	.	.	NOUN
ejpam-6216	658	14	2021	2021	NUM
ejpam-6216	658	15	.	.	PUNCT
ejpam-6216	659	1	[	[	X
ejpam-6216	659	2	29	29	NUM
ejpam-6216	659	3	]	]	PUNCT
ejpam-6216	659	4	m.	m.	NOUN
ejpam-6216	659	5	akram	akram	PROPN
ejpam-6216	659	6	,	,	PUNCT
ejpam-6216	659	7	m.	m.	NOUN
ejpam-6216	659	8	sarwar	sarwar	PROPN
ejpam-6216	659	9	,	,	PUNCT
ejpam-6216	659	10	and	and	CCONJ
ejpam-6216	659	11	w.	w.	PROPN
ejpam-6216	659	12	a.	a.	PROPN
ejpam-6216	659	13	dudek	dudek	PROPN
ejpam-6216	659	14	.	.	PUNCT
ejpam-6216	660	1	bipolar	bipolar	ADJ
ejpam-6216	660	2	fuzzy	fuzzy	ADJ
ejpam-6216	660	3	sets	set	NOUN
ejpam-6216	660	4	and	and	CCONJ
ejpam-6216	660	5	bipolar	bipolar	ADJ
ejpam-6216	660	6	fuzzy	fuzzy	ADJ
ejpam-6216	660	7	graphs	graph	NOUN
ejpam-6216	660	8	.	.	PUNCT
ejpam-6216	661	1	in	in	ADP
ejpam-6216	661	2	graphs	graph	NOUN
ejpam-6216	661	3	for	for	ADP
ejpam-6216	661	4	the	the	DET
ejpam-6216	661	5	analysis	analysis	NOUN
ejpam-6216	661	6	of	of	ADP
ejpam-6216	661	7	bipolar	bipolar	ADJ
ejpam-6216	661	8	fuzzy	fuzzy	ADJ
ejpam-6216	661	9	information	information	NOUN
ejpam-6216	661	10	,	,	PUNCT
ejpam-6216	661	11	pages	page	NOUN
ejpam-6216	661	12	1–80	1–80	PROPN
ejpam-6216	661	13	.	.	PROPN
ejpam-6216	661	14	2021	2021	NUM
ejpam-6216	661	15	.	.	PUNCT
ejpam-6216	662	1	[	[	X
ejpam-6216	662	2	30	30	NUM
ejpam-6216	662	3	]	]	PUNCT
ejpam-6216	662	4	s.	s.	PROPN
ejpam-6216	662	5	gong	gong	PROPN
ejpam-6216	662	6	and	and	CCONJ
ejpam-6216	662	7	g.	g.	PROPN
ejpam-6216	662	8	hua	hua	PROPN
ejpam-6216	662	9	.	.	PROPN
ejpam-6216	662	10	fuzzy	fuzzy	ADJ
ejpam-6216	662	11	edge	edge	NOUN
ejpam-6216	662	12	connectivity	connectivity	NOUN
ejpam-6216	662	13	in	in	ADP
ejpam-6216	662	14	bipolar	bipolar	ADJ
ejpam-6216	662	15	fuzzy	fuzzy	ADJ
ejpam-6216	662	16	networks	network	NOUN
ejpam-6216	662	17	and	and	CCONJ
ejpam-6216	662	18	the	the	DET
ejpam-6216	662	19	applications	application	NOUN
ejpam-6216	662	20	in	in	ADP
ejpam-6216	662	21	topology	topology	NOUN
ejpam-6216	662	22	design	design	NOUN
ejpam-6216	662	23	.	.	PUNCT
ejpam-6216	663	1	international	international	ADJ
ejpam-6216	663	2	journal	journal	NOUN
ejpam-6216	663	3	of	of	ADP
ejpam-6216	663	4	intelligent	intelligent	ADJ
ejpam-6216	663	5	systems	system	NOUN
ejpam-6216	663	6	,	,	PUNCT
ejpam-6216	663	7	37(8):5425	37(8):5425	NUM
ejpam-6216	663	8	–	–	PUNCT
ejpam-6216	663	9	5442	5442	NUM
ejpam-6216	663	10	,	,	PUNCT
ejpam-6216	663	11	2022	2022	NUM
ejpam-6216	663	12	.	.	PUNCT
ejpam-6216	664	1	a.	a.	PROPN
ejpam-6216	664	2	arif	arif	PROPN
ejpam-6216	664	3	et	et	PROPN
ejpam-6216	664	4	al	al	PROPN
ejpam-6216	664	5	.	.	PUNCT
ejpam-6216	664	6	/	/	SYM
ejpam-6216	664	7	eur	eur	PROPN
ejpam-6216	664	8	.	.	PUNCT
ejpam-6216	665	1	j.	j.	PROPN
ejpam-6216	665	2	pure	pure	PROPN
ejpam-6216	665	3	appl	appl	PROPN
ejpam-6216	665	4	.	.	PROPN
ejpam-6216	665	5	math	math	PROPN
ejpam-6216	665	6	,	,	PUNCT
ejpam-6216	665	7	18	18	NUM
ejpam-6216	665	8	(	(	PUNCT
ejpam-6216	665	9	4	4	NUM
ejpam-6216	665	10	)	)	PUNCT
ejpam-6216	665	11	(	(	PUNCT
ejpam-6216	665	12	2025	2025	NUM
ejpam-6216	665	13	)	)	PUNCT
ejpam-6216	665	14	,	,	PUNCT
ejpam-6216	665	15	6216	6216	NUM
ejpam-6216	665	16	33	33	NUM
ejpam-6216	665	17	of	of	ADP
ejpam-6216	665	18	36	36	NUM
ejpam-6216	665	19	[	[	X
ejpam-6216	665	20	31	31	NUM
ejpam-6216	665	21	]	]	PUNCT
ejpam-6216	665	22	m.	m.	NOUN
ejpam-6216	665	23	g.	g.	PROPN
ejpam-6216	665	24	karunambigai	karunambigai	PROPN
ejpam-6216	665	25	,	,	PUNCT
ejpam-6216	665	26	m.	m.	PROPN
ejpam-6216	665	27	akram	akram	PROPN
ejpam-6216	665	28	,	,	PUNCT
ejpam-6216	665	29	k.	k.	PROPN
ejpam-6216	665	30	palanivel	palanivel	PROPN
ejpam-6216	665	31	,	,	PUNCT
ejpam-6216	665	32	and	and	CCONJ
ejpam-6216	665	33	s.	s.	PROPN
ejpam-6216	665	34	sivasankar	sivasankar	PROPN
ejpam-6216	665	35	.	.	PUNCT
ejpam-6216	666	1	domination	domination	NOUN
ejpam-6216	666	2	in	in	ADP
ejpam-6216	666	3	bipolar	bipolar	ADJ
ejpam-6216	666	4	fuzzy	fuzzy	ADJ
ejpam-6216	666	5	graphs	graph	NOUN
ejpam-6216	666	6	.	.	PUNCT
ejpam-6216	667	1	in	in	ADP
ejpam-6216	667	2	2013	2013	NUM
ejpam-6216	667	3	ieee	ieee	NOUN
ejpam-6216	667	4	international	international	ADJ
ejpam-6216	667	5	conference	conference	NOUN
ejpam-6216	667	6	on	on	ADP
ejpam-6216	667	7	fuzzy	fuzzy	ADJ
ejpam-6216	667	8	systems	system	NOUN
ejpam-6216	667	9	(	(	PUNCT
ejpam-6216	667	10	fuzz	fuzz	NOUN
ejpam-6216	667	11	-	-	PUNCT
ejpam-6216	667	12	ieee	ieee	NOUN
ejpam-6216	667	13	)	)	PUNCT
ejpam-6216	667	14	,	,	PUNCT
ejpam-6216	667	15	pages	page	NOUN
ejpam-6216	667	16	1–6	1–6	NUM
ejpam-6216	667	17	.	.	PUNCT
ejpam-6216	667	18	ieee	ieee	PROPN
ejpam-6216	667	19	,	,	PUNCT
ejpam-6216	667	20	2013	2013	NUM
ejpam-6216	667	21	.	.	PUNCT
ejpam-6216	668	1	[	[	X
ejpam-6216	668	2	32	32	NUM
ejpam-6216	668	3	]	]	PUNCT
ejpam-6216	668	4	a.	a.	NOUN
ejpam-6216	668	5	muneera	muneera	PROPN
ejpam-6216	668	6	,	,	PUNCT
ejpam-6216	668	7	t.	t.	PROPN
ejpam-6216	668	8	n.	n.	PROPN
ejpam-6216	668	9	rao	rao	PROPN
ejpam-6216	668	10	,	,	PUNCT
ejpam-6216	668	11	j.	j.	PROPN
ejpam-6216	668	12	v.	v.	PROPN
ejpam-6216	668	13	rao	rao	PROPN
ejpam-6216	668	14	,	,	PUNCT
ejpam-6216	668	15	and	and	CCONJ
ejpam-6216	668	16	r.	r.	PROPN
ejpam-6216	668	17	s.	s.	PROPN
ejpam-6216	668	18	rao	rao	PROPN
ejpam-6216	668	19	.	.	PUNCT
ejpam-6216	669	1	domination	domination	NOUN
ejpam-6216	669	2	in	in	ADP
ejpam-6216	669	3	regular	regular	ADJ
ejpam-6216	669	4	and	and	CCONJ
ejpam-6216	669	5	irregular	irregular	ADJ
ejpam-6216	669	6	bipolar	bipolar	ADJ
ejpam-6216	669	7	fuzzy	fuzzy	ADJ
ejpam-6216	669	8	graphs	graph	NOUN
ejpam-6216	669	9	.	.	PUNCT
ejpam-6216	670	1	journal	journal	NOUN
ejpam-6216	670	2	of	of	ADP
ejpam-6216	670	3	critical	critical	ADJ
ejpam-6216	670	4	reviews	review	NOUN
ejpam-6216	670	5	,	,	PUNCT
ejpam-6216	670	6	7(11):793–796	7(11):793–796	NUM
ejpam-6216	670	7	,	,	PUNCT
ejpam-6216	670	8	2020	2020	NUM
ejpam-6216	670	9	.	.	PUNCT
ejpam-6216	671	1	[	[	X
ejpam-6216	671	2	33	33	NUM
ejpam-6216	671	3	]	]	PUNCT
ejpam-6216	671	4	m.	m.	NOUN
ejpam-6216	671	5	akram	akram	PROPN
ejpam-6216	671	6	,	,	PUNCT
ejpam-6216	671	7	m.	m.	NOUN
ejpam-6216	671	8	sarwar	sarwar	PROPN
ejpam-6216	671	9	,	,	PUNCT
ejpam-6216	671	10	and	and	CCONJ
ejpam-6216	671	11	w.	w.	PROPN
ejpam-6216	671	12	a.	a.	PROPN
ejpam-6216	671	13	dudek	dudek	PROPN
ejpam-6216	671	14	.	.	PUNCT
ejpam-6216	672	1	domination	domination	NOUN
ejpam-6216	672	2	in	in	ADP
ejpam-6216	672	3	bipolar	bipolar	ADJ
ejpam-6216	672	4	fuzzy	fuzzy	ADJ
ejpam-6216	672	5	graphs	graph	NOUN
ejpam-6216	672	6	.	.	PUNCT
ejpam-6216	673	1	in	in	ADP
ejpam-6216	673	2	graphs	graph	NOUN
ejpam-6216	673	3	for	for	ADP
ejpam-6216	673	4	the	the	DET
ejpam-6216	673	5	analysis	analysis	NOUN
ejpam-6216	673	6	of	of	ADP
ejpam-6216	673	7	bipolar	bipolar	ADJ
ejpam-6216	673	8	fuzzy	fuzzy	ADJ
ejpam-6216	673	9	information	information	NOUN
ejpam-6216	673	10	,	,	PUNCT
ejpam-6216	673	11	pages	page	NOUN
ejpam-6216	673	12	253–280	253–280	NUM
ejpam-6216	673	13	.	.	PUNCT
ejpam-6216	673	14	2021	2021	NUM
ejpam-6216	673	15	.	.	PUNCT
ejpam-6216	674	1	[	[	X
ejpam-6216	674	2	34	34	NUM
ejpam-6216	674	3	]	]	PUNCT
ejpam-6216	674	4	z.	z.	PROPN
ejpam-6216	674	5	pawlak	pawlak	PROPN
ejpam-6216	674	6	.	.	PUNCT
ejpam-6216	675	1	rough	rough	ADJ
ejpam-6216	675	2	sets	set	NOUN
ejpam-6216	675	3	.	.	PUNCT
ejpam-6216	676	1	international	international	ADJ
ejpam-6216	676	2	journal	journal	PROPN
ejpam-6216	676	3	of	of	ADP
ejpam-6216	676	4	computer	computer	PROPN
ejpam-6216	676	5	&	&	CCONJ
ejpam-6216	676	6	information	information	NOUN
ejpam-6216	676	7	sciences	sciences	PROPN
ejpam-6216	676	8	,	,	PUNCT
ejpam-6216	676	9	11:341–356	11:341–356	NUM
ejpam-6216	676	10	,	,	PUNCT
ejpam-6216	676	11	1982	1982	NUM
ejpam-6216	676	12	.	.	PUNCT
ejpam-6216	677	1	[	[	X
ejpam-6216	677	2	35	35	NUM
ejpam-6216	677	3	]	]	PUNCT
ejpam-6216	677	4	z.	z.	PROPN
ejpam-6216	677	5	pawlak	pawlak	PROPN
ejpam-6216	677	6	.	.	PUNCT
ejpam-6216	678	1	rough	rough	ADJ
ejpam-6216	678	2	set	set	NOUN
ejpam-6216	678	3	approach	approach	NOUN
ejpam-6216	678	4	to	to	ADP
ejpam-6216	678	5	knowledge	knowledge	NOUN
ejpam-6216	678	6	-	-	PUNCT
ejpam-6216	678	7	based	base	VERB
ejpam-6216	678	8	decision	decision	NOUN
ejpam-6216	678	9	support	support	NOUN
ejpam-6216	678	10	.	.	PUNCT
ejpam-6216	679	1	european	european	ADJ
ejpam-6216	679	2	journal	journal	PROPN
ejpam-6216	679	3	of	of	ADP
ejpam-6216	679	4	operational	operational	ADJ
ejpam-6216	679	5	research	research	NOUN
ejpam-6216	679	6	,	,	PUNCT
ejpam-6216	679	7	99(1):48–57	99(1):48–57	NUM
ejpam-6216	679	8	,	,	PUNCT
ejpam-6216	679	9	1997	1997	NUM
ejpam-6216	679	10	.	.	PUNCT
ejpam-6216	680	1	[	[	X
ejpam-6216	680	2	36	36	NUM
ejpam-6216	680	3	]	]	PUNCT
ejpam-6216	680	4	z.	z.	PROPN
ejpam-6216	680	5	pawlak	pawlak	PROPN
ejpam-6216	680	6	.	.	PUNCT
ejpam-6216	681	1	rough	rough	ADJ
ejpam-6216	681	2	set	set	NOUN
ejpam-6216	681	3	theory	theory	NOUN
ejpam-6216	681	4	and	and	CCONJ
ejpam-6216	681	5	its	its	PRON
ejpam-6216	681	6	applications	application	NOUN
ejpam-6216	681	7	to	to	ADP
ejpam-6216	681	8	data	datum	NOUN
ejpam-6216	681	9	analysis	analysis	NOUN
ejpam-6216	681	10	.	.	PUNCT
ejpam-6216	682	1	cybernetics	cybernetic	NOUN
ejpam-6216	682	2	&	&	CCONJ
ejpam-6216	682	3	systems	systems	PROPN
ejpam-6216	682	4	,	,	PUNCT
ejpam-6216	682	5	29(7):661–688	29(7):661–688	PROPN
ejpam-6216	682	6	,	,	PUNCT
ejpam-6216	682	7	1998	1998	NUM
ejpam-6216	682	8	.	.	PUNCT
ejpam-6216	683	1	[	[	X
ejpam-6216	683	2	37	37	NUM
ejpam-6216	683	3	]	]	PUNCT
ejpam-6216	683	4	m.	m.	NOUN
ejpam-6216	683	5	kryszkiewicz	kryszkiewicz	NOUN
ejpam-6216	683	6	.	.	PUNCT
ejpam-6216	684	1	rough	rough	ADJ
ejpam-6216	684	2	set	set	NOUN
ejpam-6216	684	3	approach	approach	NOUN
ejpam-6216	684	4	to	to	ADP
ejpam-6216	684	5	incomplete	incomplete	ADJ
ejpam-6216	684	6	information	information	NOUN
ejpam-6216	684	7	systems	system	NOUN
ejpam-6216	684	8	.	.	PUNCT
ejpam-6216	685	1	information	information	NOUN
ejpam-6216	685	2	sciences	sciences	PROPN
ejpam-6216	685	3	,	,	PUNCT
ejpam-6216	685	4	112(1	112(1	NUM
ejpam-6216	685	5	-	-	SYM
ejpam-6216	685	6	4):39–49	4):39–49	NUM
ejpam-6216	685	7	,	,	PUNCT
ejpam-6216	685	8	1998	1998	NUM
ejpam-6216	685	9	.	.	PUNCT
ejpam-6216	686	1	[	[	X
ejpam-6216	686	2	38	38	NUM
ejpam-6216	686	3	]	]	X
ejpam-6216	686	4	d.	d.	PROPN
ejpam-6216	686	5	dubois	dubois	PROPN
ejpam-6216	686	6	and	and	CCONJ
ejpam-6216	686	7	h.	h.	PROPN
ejpam-6216	686	8	prade	prade	PROPN
ejpam-6216	686	9	.	.	PUNCT
ejpam-6216	687	1	rough	rough	ADJ
ejpam-6216	687	2	fuzzy	fuzzy	ADJ
ejpam-6216	687	3	sets	set	NOUN
ejpam-6216	687	4	and	and	CCONJ
ejpam-6216	687	5	fuzzy	fuzzy	ADJ
ejpam-6216	687	6	rough	rough	ADJ
ejpam-6216	687	7	sets	set	NOUN
ejpam-6216	687	8	.	.	PUNCT
ejpam-6216	688	1	international	international	ADJ
ejpam-6216	688	2	journal	journal	PROPN
ejpam-6216	688	3	of	of	ADP
ejpam-6216	688	4	general	general	ADJ
ejpam-6216	688	5	system	system	NOUN
ejpam-6216	688	6	,	,	PUNCT
ejpam-6216	688	7	17(2	17(2	NUM
ejpam-6216	688	8	-	-	SYM
ejpam-6216	688	9	3):191–209	3):191–209	NUM
ejpam-6216	688	10	,	,	PUNCT
ejpam-6216	688	11	1990	1990	NUM
ejpam-6216	688	12	.	.	PUNCT
ejpam-6216	689	1	[	[	X
ejpam-6216	689	2	39	39	NUM
ejpam-6216	689	3	]	]	X
ejpam-6216	689	4	d.	d.	PROPN
ejpam-6216	689	5	dubois	dubois	PROPN
ejpam-6216	689	6	and	and	CCONJ
ejpam-6216	689	7	h.	h.	PROPN
ejpam-6216	689	8	prade	prade	PROPN
ejpam-6216	689	9	.	.	PUNCT
ejpam-6216	690	1	putting	put	VERB
ejpam-6216	690	2	rough	rough	ADJ
ejpam-6216	690	3	sets	set	NOUN
ejpam-6216	690	4	and	and	CCONJ
ejpam-6216	690	5	fuzzy	fuzzy	ADJ
ejpam-6216	690	6	sets	set	NOUN
ejpam-6216	690	7	together	together	ADV
ejpam-6216	690	8	.	.	PUNCT
ejpam-6216	691	1	in	in	ADP
ejpam-6216	691	2	intelligent	intelligent	ADJ
ejpam-6216	691	3	decision	decision	NOUN
ejpam-6216	691	4	support	support	NOUN
ejpam-6216	691	5	:	:	PUNCT
ejpam-6216	691	6	handbook	handbook	NOUN
ejpam-6216	691	7	of	of	ADP
ejpam-6216	691	8	applications	application	NOUN
ejpam-6216	691	9	and	and	CCONJ
ejpam-6216	691	10	advances	advance	NOUN
ejpam-6216	691	11	of	of	ADP
ejpam-6216	691	12	the	the	DET
ejpam-6216	691	13	rough	rough	ADJ
ejpam-6216	691	14	sets	set	NOUN
ejpam-6216	691	15	theory	theory	NOUN
ejpam-6216	691	16	,	,	PUNCT
ejpam-6216	691	17	pages	page	NOUN
ejpam-6216	691	18	203–232	203–232	NUM
ejpam-6216	691	19	.	.	PUNCT
ejpam-6216	691	20	springer	springer	PROPN
ejpam-6216	691	21	netherlands	netherlands	PROPN
ejpam-6216	691	22	,	,	PUNCT
ejpam-6216	691	23	dordrecht	dordrecht	PROPN
ejpam-6216	691	24	,	,	PUNCT
ejpam-6216	691	25	1992	1992	NUM
ejpam-6216	691	26	.	.	PUNCT
ejpam-6216	692	1	[	[	X
ejpam-6216	692	2	40	40	NUM
ejpam-6216	692	3	]	]	X
ejpam-6216	692	4	y.	y.	PROPN
ejpam-6216	692	5	y.	y.	PROPN
ejpam-6216	692	6	yao	yao	PROPN
ejpam-6216	692	7	.	.	PUNCT
ejpam-6216	693	1	a	a	DET
ejpam-6216	693	2	comparative	comparative	ADJ
ejpam-6216	693	3	study	study	NOUN
ejpam-6216	693	4	of	of	ADP
ejpam-6216	693	5	fuzzy	fuzzy	ADJ
ejpam-6216	693	6	sets	set	NOUN
ejpam-6216	693	7	and	and	CCONJ
ejpam-6216	693	8	rough	rough	ADJ
ejpam-6216	693	9	sets	set	NOUN
ejpam-6216	693	10	.	.	PUNCT
ejpam-6216	694	1	information	information	NOUN
ejpam-6216	694	2	sciences	science	NOUN
ejpam-6216	694	3	,	,	PUNCT
ejpam-6216	694	4	109(1	109(1	NUM
ejpam-6216	694	5	-	-	SYM
ejpam-6216	694	6	4):227–242	4):227–242	NUM
ejpam-6216	694	7	,	,	PUNCT
ejpam-6216	694	8	1998	1998	NUM
ejpam-6216	694	9	.	.	PUNCT
ejpam-6216	695	1	[	[	X
ejpam-6216	695	2	41	41	NUM
ejpam-6216	695	3	]	]	PUNCT
ejpam-6216	695	4	a.	a.	NOUN
ejpam-6216	695	5	m.	m.	NOUN
ejpam-6216	695	6	radzikowska	radzikowska	PROPN
ejpam-6216	695	7	and	and	CCONJ
ejpam-6216	695	8	e.	e.	PROPN
ejpam-6216	695	9	e.	e.	PROPN
ejpam-6216	695	10	kerre	kerre	PROPN
ejpam-6216	695	11	.	.	PUNCT
ejpam-6216	696	1	a	a	DET
ejpam-6216	696	2	comparative	comparative	ADJ
ejpam-6216	696	3	study	study	NOUN
ejpam-6216	696	4	of	of	ADP
ejpam-6216	696	5	fuzzy	fuzzy	ADJ
ejpam-6216	696	6	rough	rough	ADJ
ejpam-6216	696	7	sets	set	NOUN
ejpam-6216	696	8	.	.	PUNCT
ejpam-6216	697	1	fuzzy	fuzzy	ADJ
ejpam-6216	697	2	sets	set	NOUN
ejpam-6216	697	3	and	and	CCONJ
ejpam-6216	697	4	systems	system	NOUN
ejpam-6216	697	5	,	,	PUNCT
ejpam-6216	697	6	126(2):137–155	126(2):137–155	NUM
ejpam-6216	697	7	,	,	PUNCT
ejpam-6216	697	8	2002	2002	NUM
ejpam-6216	697	9	.	.	PUNCT
ejpam-6216	698	1	[	[	X
ejpam-6216	698	2	42	42	NUM
ejpam-6216	698	3	]	]	X
ejpam-6216	698	4	d.	d.	PROPN
ejpam-6216	698	5	s.	s.	PROPN
ejpam-6216	698	6	yeung	yeung	PROPN
ejpam-6216	698	7	,	,	PUNCT
ejpam-6216	698	8	d.	d.	PROPN
ejpam-6216	698	9	chen	chen	PROPN
ejpam-6216	698	10	,	,	PUNCT
ejpam-6216	698	11	e.	e.	PROPN
ejpam-6216	698	12	c.	c.	PROPN
ejpam-6216	698	13	tsang	tsang	PROPN
ejpam-6216	698	14	,	,	PUNCT
ejpam-6216	698	15	j.	j.	PROPN
ejpam-6216	698	16	w.	w.	PROPN
ejpam-6216	698	17	lee	lee	PROPN
ejpam-6216	698	18	,	,	PUNCT
ejpam-6216	698	19	and	and	CCONJ
ejpam-6216	698	20	x.	x.	PROPN
ejpam-6216	698	21	wang	wang	PROPN
ejpam-6216	698	22	.	.	PUNCT
ejpam-6216	699	1	on	on	ADP
ejpam-6216	699	2	the	the	DET
ejpam-6216	699	3	generalization	generalization	NOUN
ejpam-6216	699	4	of	of	ADP
ejpam-6216	699	5	fuzzy	fuzzy	ADJ
ejpam-6216	699	6	rough	rough	ADJ
ejpam-6216	699	7	sets	set	NOUN
ejpam-6216	699	8	.	.	PUNCT
ejpam-6216	700	1	ieee	ieee	NOUN
ejpam-6216	700	2	transactions	transaction	NOUN
ejpam-6216	700	3	on	on	ADP
ejpam-6216	700	4	fuzzy	fuzzy	ADJ
ejpam-6216	700	5	systems	system	NOUN
ejpam-6216	700	6	,	,	PUNCT
ejpam-6216	700	7	13(3):343–361	13(3):343–361	PROPN
ejpam-6216	700	8	,	,	PUNCT
ejpam-6216	700	9	2005	2005	NUM
ejpam-6216	700	10	.	.	PUNCT
ejpam-6216	701	1	[	[	X
ejpam-6216	701	2	43	43	NUM
ejpam-6216	701	3	]	]	X
ejpam-6216	701	4	h.	h.	PROPN
ejpam-6216	701	5	l.	l.	PROPN
ejpam-6216	701	6	yang	yang	PROPN
ejpam-6216	701	7	,	,	PUNCT
ejpam-6216	701	8	s.	s.	PROPN
ejpam-6216	701	9	g.	g.	PROPN
ejpam-6216	701	10	li	li	PROPN
ejpam-6216	701	11	,	,	PUNCT
ejpam-6216	701	12	s.	s.	PROPN
ejpam-6216	701	13	wang	wang	PROPN
ejpam-6216	701	14	,	,	PUNCT
ejpam-6216	701	15	and	and	CCONJ
ejpam-6216	701	16	j.	j.	PROPN
ejpam-6216	701	17	wang	wang	PROPN
ejpam-6216	701	18	.	.	PUNCT
ejpam-6216	702	1	bipolar	bipolar	ADJ
ejpam-6216	702	2	fuzzy	fuzzy	ADJ
ejpam-6216	702	3	rough	rough	ADJ
ejpam-6216	702	4	set	set	NOUN
ejpam-6216	702	5	model	model	NOUN
ejpam-6216	702	6	on	on	ADP
ejpam-6216	702	7	two	two	NUM
ejpam-6216	702	8	different	different	ADJ
ejpam-6216	702	9	universes	universe	NOUN
ejpam-6216	702	10	and	and	CCONJ
ejpam-6216	702	11	its	its	PRON
ejpam-6216	702	12	application	application	NOUN
ejpam-6216	702	13	.	.	PUNCT
ejpam-6216	703	1	knowledge	knowledge	NOUN
ejpam-6216	703	2	-	-	PUNCT
ejpam-6216	703	3	based	base	VERB
ejpam-6216	703	4	systems	system	NOUN
ejpam-6216	703	5	,	,	PUNCT
ejpam-6216	703	6	35:94–101	35:94–101	NUM
ejpam-6216	703	7	,	,	PUNCT
ejpam-6216	703	8	2012	2012	NUM
ejpam-6216	703	9	.	.	PUNCT
ejpam-6216	704	1	[	[	X
ejpam-6216	704	2	44	44	NUM
ejpam-6216	704	3	]	]	PUNCT
ejpam-6216	704	4	h.	h.	PROPN
ejpam-6216	704	5	l.	l.	PROPN
ejpam-6216	704	6	yang	yang	PROPN
ejpam-6216	704	7	,	,	PUNCT
ejpam-6216	704	8	s.	s.	PROPN
ejpam-6216	704	9	g.	g.	PROPN
ejpam-6216	704	10	li	li	PROPN
ejpam-6216	704	11	,	,	PUNCT
ejpam-6216	704	12	z.	z.	PROPN
ejpam-6216	704	13	l.	l.	PROPN
ejpam-6216	704	14	guo	guo	PROPN
ejpam-6216	704	15	,	,	PUNCT
ejpam-6216	704	16	and	and	CCONJ
ejpam-6216	705	1	c.	c.	PROPN
ejpam-6216	705	2	h.	h.	PROPN
ejpam-6216	705	3	ma	ma	PROPN
ejpam-6216	705	4	.	.	PROPN
ejpam-6216	705	5	transformation	transformation	NOUN
ejpam-6216	705	6	of	of	ADP
ejpam-6216	705	7	bipolar	bipolar	ADJ
ejpam-6216	705	8	fuzzy	fuzzy	ADJ
ejpam-6216	705	9	rough	rough	ADJ
ejpam-6216	705	10	set	set	NOUN
ejpam-6216	705	11	models	model	NOUN
ejpam-6216	705	12	.	.	PUNCT
ejpam-6216	706	1	knowledge	knowledge	NOUN
ejpam-6216	706	2	-	-	PUNCT
ejpam-6216	706	3	based	base	VERB
ejpam-6216	706	4	systems	system	NOUN
ejpam-6216	706	5	,	,	PUNCT
ejpam-6216	706	6	27:60–68	27:60–68	NUM
ejpam-6216	706	7	,	,	PUNCT
ejpam-6216	706	8	2012	2012	NUM
ejpam-6216	706	9	.	.	PUNCT
ejpam-6216	707	1	[	[	X
ejpam-6216	707	2	45	45	NUM
ejpam-6216	707	3	]	]	X
ejpam-6216	707	4	n.	n.	PROPN
ejpam-6216	707	5	malik	malik	PROPN
ejpam-6216	707	6	and	and	CCONJ
ejpam-6216	707	7	m.	m.	PROPN
ejpam-6216	707	8	shabir	shabir	PROPN
ejpam-6216	707	9	.	.	PUNCT
ejpam-6216	708	1	rough	rough	ADJ
ejpam-6216	708	2	fuzzy	fuzzy	ADJ
ejpam-6216	708	3	bipolar	bipolar	ADJ
ejpam-6216	708	4	soft	soft	ADJ
ejpam-6216	708	5	sets	set	NOUN
ejpam-6216	708	6	and	and	CCONJ
ejpam-6216	708	7	application	application	NOUN
ejpam-6216	708	8	in	in	ADP
ejpam-6216	708	9	decisionmaking	decisionmake	VERB
ejpam-6216	708	10	problems	problem	NOUN
ejpam-6216	708	11	.	.	PUNCT
ejpam-6216	709	1	soft	soft	ADJ
ejpam-6216	709	2	computing	computing	NOUN
ejpam-6216	709	3	,	,	PUNCT
ejpam-6216	709	4	23:1603–1614	23:1603–1614	NUM
ejpam-6216	709	5	,	,	PUNCT
ejpam-6216	709	6	2019	2019	NUM
ejpam-6216	709	7	.	.	PUNCT
ejpam-6216	710	1	[	[	X
ejpam-6216	710	2	46	46	NUM
ejpam-6216	710	3	]	]	X
ejpam-6216	710	4	y.	y.	PROPN
ejpam-6216	710	5	han	han	PROPN
ejpam-6216	710	6	,	,	PUNCT
ejpam-6216	710	7	p.	p.	PROPN
ejpam-6216	710	8	shi	shi	PROPN
ejpam-6216	710	9	,	,	PUNCT
ejpam-6216	710	10	and	and	CCONJ
ejpam-6216	710	11	s.	s.	PROPN
ejpam-6216	710	12	chen	chen	PROPN
ejpam-6216	710	13	.	.	PUNCT
ejpam-6216	711	1	bipolar	bipolar	ADJ
ejpam-6216	711	2	-	-	PUNCT
ejpam-6216	711	3	valued	value	VERB
ejpam-6216	711	4	rough	rough	ADJ
ejpam-6216	711	5	fuzzy	fuzzy	ADJ
ejpam-6216	711	6	set	set	NOUN
ejpam-6216	711	7	and	and	CCONJ
ejpam-6216	711	8	its	its	PRON
ejpam-6216	711	9	applications	application	NOUN
ejpam-6216	711	10	to	to	ADP
ejpam-6216	711	11	the	the	DET
ejpam-6216	711	12	decision	decision	NOUN
ejpam-6216	711	13	information	information	NOUN
ejpam-6216	711	14	system	system	NOUN
ejpam-6216	711	15	.	.	PUNCT
ejpam-6216	712	1	ieee	ieee	NOUN
ejpam-6216	712	2	transactions	transaction	NOUN
ejpam-6216	712	3	on	on	ADP
ejpam-6216	712	4	fuzzy	fuzzy	ADJ
ejpam-6216	712	5	systems	system	NOUN
ejpam-6216	712	6	,	,	PUNCT
ejpam-6216	712	7	23(6):2358–2370	23(6):2358–2370	NUM
ejpam-6216	712	8	,	,	PUNCT
ejpam-6216	712	9	2015	2015	NUM
ejpam-6216	712	10	.	.	PUNCT
ejpam-6216	713	1	[	[	X
ejpam-6216	713	2	47	47	NUM
ejpam-6216	713	3	]	]	PUNCT
ejpam-6216	713	4	s.	s.	PROPN
ejpam-6216	713	5	a.	a.	PROPN
ejpam-6216	713	6	shanthi	shanthi	PROPN
ejpam-6216	713	7	and	and	CCONJ
ejpam-6216	713	8	m.	m.	PROPN
ejpam-6216	713	9	saranya	saranya	PROPN
ejpam-6216	713	10	.	.	PUNCT
ejpam-6216	714	1	on	on	ADP
ejpam-6216	714	2	bipolar	bipolar	ADJ
ejpam-6216	714	3	fuzzy	fuzzy	ADJ
ejpam-6216	714	4	rough	rough	ADJ
ejpam-6216	714	5	connected	connected	ADJ
ejpam-6216	714	6	spaces	space	NOUN
ejpam-6216	714	7	.	.	PUNCT
ejpam-6216	715	1	in	in	ADP
ejpam-6216	715	2	aip	aip	PROPN
ejpam-6216	715	3	conference	conference	NOUN
ejpam-6216	715	4	proceedings	proceeding	NOUN
ejpam-6216	715	5	,	,	PUNCT
ejpam-6216	715	6	volume	volume	NOUN
ejpam-6216	715	7	2177	2177	NUM
ejpam-6216	715	8	,	,	PUNCT
ejpam-6216	715	9	page	page	NOUN
ejpam-6216	715	10	020002	020002	NUM
ejpam-6216	715	11	.	.	PUNCT
ejpam-6216	716	1	aip	aip	PROPN
ejpam-6216	716	2	publishing	publishing	PROPN
ejpam-6216	716	3	llc	llc	PROPN
ejpam-6216	716	4	,	,	PUNCT
ejpam-6216	716	5	2019	2019	NUM
ejpam-6216	716	6	.	.	PUNCT
ejpam-6216	717	1	[	[	X
ejpam-6216	717	2	48	48	NUM
ejpam-6216	717	3	]	]	PUNCT
ejpam-6216	717	4	a.	a.	NOUN
ejpam-6216	717	5	mubarak	mubarak	PROPN
ejpam-6216	717	6	,	,	PUNCT
ejpam-6216	717	7	m.	m.	NOUN
ejpam-6216	717	8	shabir	shabir	PROPN
ejpam-6216	717	9	,	,	PUNCT
ejpam-6216	717	10	and	and	CCONJ
ejpam-6216	717	11	w.	w.	PROPN
ejpam-6216	717	12	mahmood	mahmood	PROPN
ejpam-6216	717	13	.	.	PUNCT
ejpam-6216	718	1	pessimistic	pessimistic	ADJ
ejpam-6216	718	2	multigranulation	multigranulation	NOUN
ejpam-6216	718	3	rough	rough	ADJ
ejpam-6216	718	4	bipolar	bipolar	ADJ
ejpam-6216	718	5	fuzzy	fuzzy	ADJ
ejpam-6216	718	6	set	set	NOUN
ejpam-6216	718	7	and	and	CCONJ
ejpam-6216	718	8	their	their	PRON
ejpam-6216	718	9	application	application	NOUN
ejpam-6216	718	10	in	in	ADP
ejpam-6216	718	11	medical	medical	ADJ
ejpam-6216	718	12	diagnosis	diagnosis	NOUN
ejpam-6216	718	13	.	.	PUNCT
ejpam-6216	719	1	computational	computational	ADJ
ejpam-6216	719	2	and	and	CCONJ
ejpam-6216	719	3	applied	applied	ADJ
ejpam-6216	719	4	mathematics	mathematic	NOUN
ejpam-6216	719	5	,	,	PUNCT
ejpam-6216	719	6	42(6):249	42(6):249	NUM
ejpam-6216	719	7	,	,	PUNCT
ejpam-6216	719	8	2023	2023	NUM
ejpam-6216	719	9	.	.	PUNCT
ejpam-6216	720	1	[	[	X
ejpam-6216	720	2	49	49	NUM
ejpam-6216	720	3	]	]	PUNCT
ejpam-6216	720	4	t.	t.	X
ejpam-6216	720	5	he	he	PRON
ejpam-6216	720	6	and	and	CCONJ
ejpam-6216	720	7	k.	k.	PROPN
ejpam-6216	720	8	shi	shi	PROPN
ejpam-6216	720	9	.	.	PUNCT
ejpam-6216	721	1	rough	rough	ADJ
ejpam-6216	721	2	graph	graph	NOUN
ejpam-6216	721	3	and	and	CCONJ
ejpam-6216	721	4	its	its	PRON
ejpam-6216	721	5	structure	structure	NOUN
ejpam-6216	721	6	.	.	PUNCT
ejpam-6216	722	1	journal	journal	PROPN
ejpam-6216	722	2	of	of	ADP
ejpam-6216	722	3	shandong	shandong	PROPN
ejpam-6216	722	4	university	university	PROPN
ejpam-6216	722	5	,	,	PUNCT
ejpam-6216	722	6	41(6):46–50	41(6):46–50	NUM
ejpam-6216	722	7	,	,	PUNCT
ejpam-6216	722	8	2006	2006	NUM
ejpam-6216	722	9	.	.	PUNCT
ejpam-6216	723	1	[	[	X
ejpam-6216	723	2	50	50	NUM
ejpam-6216	723	3	]	]	PUNCT
ejpam-6216	723	4	t.	t.	PROPN
ejpam-6216	723	5	he	he	PRON
ejpam-6216	723	6	,	,	PUNCT
ejpam-6216	723	7	y.	y.	PROPN
ejpam-6216	723	8	chen	chen	PROPN
ejpam-6216	723	9	,	,	PUNCT
ejpam-6216	723	10	and	and	CCONJ
ejpam-6216	723	11	k.	k.	PROPN
ejpam-6216	723	12	shi	shi	PROPN
ejpam-6216	723	13	.	.	PROPN
ejpam-6216	723	14	weighted	weight	VERB
ejpam-6216	723	15	rough	rough	ADJ
ejpam-6216	723	16	graph	graph	NOUN
ejpam-6216	723	17	and	and	CCONJ
ejpam-6216	723	18	its	its	PRON
ejpam-6216	723	19	application	application	NOUN
ejpam-6216	723	20	.	.	PUNCT
ejpam-6216	724	1	in	in	ADP
ejpam-6216	724	2	sixth	sixth	ADJ
ejpam-6216	724	3	a.	a.	NOUN
ejpam-6216	724	4	arif	arif	PROPN
ejpam-6216	724	5	et	et	PROPN
ejpam-6216	724	6	al	al	PROPN
ejpam-6216	724	7	.	.	PUNCT
ejpam-6216	724	8	/	/	SYM
ejpam-6216	724	9	eur	eur	PROPN
ejpam-6216	724	10	.	.	PUNCT
ejpam-6216	725	1	j.	j.	PROPN
ejpam-6216	725	2	pure	pure	PROPN
ejpam-6216	725	3	appl	appl	PROPN
ejpam-6216	725	4	.	.	PROPN
ejpam-6216	725	5	math	math	PROPN
ejpam-6216	725	6	,	,	PUNCT
ejpam-6216	725	7	18	18	NUM
ejpam-6216	725	8	(	(	PUNCT
ejpam-6216	725	9	4	4	NUM
ejpam-6216	725	10	)	)	PUNCT
ejpam-6216	725	11	(	(	PUNCT
ejpam-6216	725	12	2025	2025	NUM
ejpam-6216	725	13	)	)	PUNCT
ejpam-6216	725	14	,	,	PUNCT
ejpam-6216	725	15	6216	6216	NUM
ejpam-6216	725	16	34	34	NUM
ejpam-6216	725	17	of	of	ADP
ejpam-6216	725	18	36	36	NUM
ejpam-6216	725	19	international	international	ADJ
ejpam-6216	725	20	conference	conference	NOUN
ejpam-6216	725	21	on	on	ADP
ejpam-6216	725	22	intelligent	intelligent	ADJ
ejpam-6216	725	23	systems	system	NOUN
ejpam-6216	725	24	design	design	NOUN
ejpam-6216	725	25	and	and	CCONJ
ejpam-6216	725	26	applications	application	NOUN
ejpam-6216	725	27	,	,	PUNCT
ejpam-6216	725	28	volume	volume	NOUN
ejpam-6216	725	29	1	1	NUM
ejpam-6216	725	30	,	,	PUNCT
ejpam-6216	725	31	pages	page	NOUN
ejpam-6216	725	32	486–491	486–491	NUM
ejpam-6216	725	33	,	,	PUNCT
ejpam-6216	725	34	2006	2006	NUM
ejpam-6216	725	35	.	.	PUNCT
ejpam-6216	726	1	[	[	X
ejpam-6216	726	2	51	51	NUM
ejpam-6216	726	3	]	]	PUNCT
ejpam-6216	726	4	t.	t.	NOUN
ejpam-6216	726	5	he	he	PRON
ejpam-6216	726	6	.	.	PUNCT
ejpam-6216	727	1	s	s	X
ejpam-6216	727	2	-	-	PUNCT
ejpam-6216	727	3	rough	rough	ADJ
ejpam-6216	727	4	graph	graph	NOUN
ejpam-6216	727	5	and	and	CCONJ
ejpam-6216	727	6	its	its	PRON
ejpam-6216	727	7	properties	property	NOUN
ejpam-6216	727	8	.	.	PUNCT
ejpam-6216	728	1	in	in	ADP
ejpam-6216	728	2	proceedings	proceeding	NOUN
ejpam-6216	728	3	of	of	ADP
ejpam-6216	728	4	2011	2011	NUM
ejpam-6216	728	5	international	international	ADJ
ejpam-6216	728	6	conference	conference	NOUN
ejpam-6216	728	7	on	on	ADP
ejpam-6216	728	8	computer	computer	NOUN
ejpam-6216	728	9	science	science	NOUN
ejpam-6216	728	10	and	and	CCONJ
ejpam-6216	728	11	network	network	NOUN
ejpam-6216	728	12	technology	technology	NOUN
ejpam-6216	728	13	,	,	PUNCT
ejpam-6216	728	14	volume	volume	NOUN
ejpam-6216	728	15	1	1	NUM
ejpam-6216	728	16	,	,	PUNCT
ejpam-6216	728	17	pages	page	NOUN
ejpam-6216	728	18	344–347	344–347	NUM
ejpam-6216	728	19	,	,	PUNCT
ejpam-6216	728	20	2011	2011	NUM
ejpam-6216	728	21	.	.	PUNCT
ejpam-6216	729	1	[	[	X
ejpam-6216	729	2	52	52	NUM
ejpam-6216	729	3	]	]	PUNCT
ejpam-6216	729	4	t.	t.	PROPN
ejpam-6216	729	5	he	he	PRON
ejpam-6216	729	6	.	.	PUNCT
ejpam-6216	730	1	representation	representation	NOUN
ejpam-6216	730	2	form	form	NOUN
ejpam-6216	730	3	of	of	ADP
ejpam-6216	730	4	rough	rough	ADJ
ejpam-6216	730	5	graph	graph	NOUN
ejpam-6216	730	6	.	.	PUNCT
ejpam-6216	731	1	applied	apply	VERB
ejpam-6216	731	2	mechanics	mechanic	NOUN
ejpam-6216	731	3	and	and	CCONJ
ejpam-6216	731	4	materials	material	NOUN
ejpam-6216	731	5	,	,	PUNCT
ejpam-6216	731	6	157:874–877	157:874–877	NUM
ejpam-6216	731	7	,	,	PUNCT
ejpam-6216	731	8	2012	2012	NUM
ejpam-6216	731	9	.	.	PUNCT
ejpam-6216	732	1	[	[	X
ejpam-6216	732	2	53	53	NUM
ejpam-6216	732	3	]	]	PUNCT
ejpam-6216	732	4	m.	m.	PROPN
ejpam-6216	732	5	liang	liang	PROPN
ejpam-6216	732	6	,	,	PUNCT
ejpam-6216	732	7	b.	b.	PROPN
ejpam-6216	732	8	liang	liang	PROPN
ejpam-6216	732	9	,	,	PUNCT
ejpam-6216	732	10	l.	l.	PROPN
ejpam-6216	732	11	wei	wei	PROPN
ejpam-6216	732	12	,	,	PUNCT
ejpam-6216	732	13	and	and	CCONJ
ejpam-6216	732	14	x.	x.	PROPN
ejpam-6216	732	15	xu	xu	PROPN
ejpam-6216	732	16	.	.	PUNCT
ejpam-6216	732	17	edge	edge	VERB
ejpam-6216	732	18	rough	rough	ADJ
ejpam-6216	732	19	graph	graph	NOUN
ejpam-6216	732	20	and	and	CCONJ
ejpam-6216	732	21	its	its	PRON
ejpam-6216	732	22	application	application	NOUN
ejpam-6216	732	23	.	.	PUNCT
ejpam-6216	733	1	in	in	ADP
ejpam-6216	733	2	2011	2011	NUM
ejpam-6216	733	3	eighth	eighth	ADJ
ejpam-6216	733	4	international	international	ADJ
ejpam-6216	733	5	conference	conference	NOUN
ejpam-6216	733	6	on	on	ADP
ejpam-6216	733	7	fuzzy	fuzzy	ADJ
ejpam-6216	733	8	systems	system	NOUN
ejpam-6216	733	9	and	and	CCONJ
ejpam-6216	733	10	knowledge	knowledge	NOUN
ejpam-6216	733	11	discovery	discovery	NOUN
ejpam-6216	733	12	(	(	PUNCT
ejpam-6216	733	13	fskd	fskd	ADJ
ejpam-6216	733	14	)	)	PUNCT
ejpam-6216	733	15	,	,	PUNCT
ejpam-6216	733	16	volume	volume	NOUN
ejpam-6216	733	17	1	1	NUM
ejpam-6216	733	18	,	,	PUNCT
ejpam-6216	733	19	pages	page	NOUN
ejpam-6216	733	20	335–338	335–338	NUM
ejpam-6216	733	21	,	,	PUNCT
ejpam-6216	733	22	2011	2011	NUM
ejpam-6216	733	23	.	.	PUNCT
ejpam-6216	734	1	[	[	X
ejpam-6216	734	2	54	54	NUM
ejpam-6216	734	3	]	]	PUNCT
ejpam-6216	734	4	t.	t.	PROPN
ejpam-6216	734	5	he	he	PRON
ejpam-6216	734	6	.	.	PUNCT
ejpam-6216	735	1	rough	rough	ADJ
ejpam-6216	735	2	properties	property	NOUN
ejpam-6216	735	3	of	of	ADP
ejpam-6216	735	4	rough	rough	ADJ
ejpam-6216	735	5	graph	graph	NOUN
ejpam-6216	735	6	.	.	PUNCT
ejpam-6216	736	1	applied	apply	VERB
ejpam-6216	736	2	mechanics	mechanic	NOUN
ejpam-6216	736	3	and	and	CCONJ
ejpam-6216	736	4	materials	material	NOUN
ejpam-6216	736	5	,	,	PUNCT
ejpam-6216	736	6	157158:517–520	157158:517–520	NUM
ejpam-6216	736	7	,	,	PUNCT
ejpam-6216	736	8	2012	2012	NUM
ejpam-6216	736	9	.	.	PUNCT
ejpam-6216	737	1	[	[	X
ejpam-6216	737	2	55	55	NUM
ejpam-6216	737	3	]	]	X
ejpam-6216	737	4	h.	h.	PROPN
ejpam-6216	737	5	tong	tong	PROPN
ejpam-6216	737	6	and	and	CCONJ
ejpam-6216	737	7	r.	r.	PROPN
ejpam-6216	737	8	yang	yang	PROPN
ejpam-6216	737	9	.	.	PUNCT
ejpam-6216	738	1	different	different	ADJ
ejpam-6216	738	2	kinds	kind	NOUN
ejpam-6216	738	3	of	of	ADP
ejpam-6216	738	4	rough	rough	ADJ
ejpam-6216	738	5	graph	graph	NOUN
ejpam-6216	738	6	and	and	CCONJ
ejpam-6216	738	7	their	their	PRON
ejpam-6216	738	8	representation	representation	NOUN
ejpam-6216	738	9	forms	form	NOUN
ejpam-6216	738	10	.	.	PUNCT
ejpam-6216	739	1	destech	destech	NOUN
ejpam-6216	739	2	transactions	transaction	NOUN
ejpam-6216	739	3	on	on	ADP
ejpam-6216	739	4	engineering	engineering	NOUN
ejpam-6216	739	5	and	and	CCONJ
ejpam-6216	739	6	technology	technology	NOUN
ejpam-6216	739	7	research	research	NOUN
ejpam-6216	739	8	,	,	PUNCT
ejpam-6216	739	9	2017	2017	NUM
ejpam-6216	739	10	.	.	PUNCT
ejpam-6216	740	1	no	no	INTJ
ejpam-6216	740	2	.	.	PUNCT
ejpam-6216	741	1	mdm	mdm	PROPN
ejpam-6216	741	2	,	,	PUNCT
ejpam-6216	741	3	destech	destech	NOUN
ejpam-6216	741	4	publications	publication	NOUN
ejpam-6216	741	5	.	.	PUNCT
ejpam-6216	742	1	[	[	X
ejpam-6216	742	2	56	56	NUM
ejpam-6216	742	3	]	]	PUNCT
ejpam-6216	742	4	t.	t.	X
ejpam-6216	742	5	he	he	PROPN
ejpam-6216	742	6	and	and	CCONJ
ejpam-6216	742	7	s.	s.	PROPN
ejpam-6216	742	8	jia	jia	PROPN
ejpam-6216	742	9	.	.	PUNCT
ejpam-6216	743	1	properties	property	NOUN
ejpam-6216	743	2	of	of	ADP
ejpam-6216	743	3	directed	direct	VERB
ejpam-6216	743	4	rough	rough	ADJ
ejpam-6216	743	5	graph	graph	NOUN
ejpam-6216	743	6	.	.	PUNCT
ejpam-6216	744	1	destech	destech	NOUN
ejpam-6216	744	2	transactions	transaction	NOUN
ejpam-6216	744	3	on	on	ADP
ejpam-6216	744	4	computer	computer	NOUN
ejpam-6216	744	5	science	science	NOUN
ejpam-6216	744	6	and	and	CCONJ
ejpam-6216	744	7	engineering	engineering	NOUN
ejpam-6216	744	8	,	,	PUNCT
ejpam-6216	744	9	2017	2017	NUM
ejpam-6216	744	10	.	.	PUNCT
ejpam-6216	745	1	[	[	X
ejpam-6216	745	2	57	57	NUM
ejpam-6216	745	3	]	]	PUNCT
ejpam-6216	745	4	b.	b.	PROPN
ejpam-6216	745	5	mathew	mathew	PROPN
ejpam-6216	745	6	,	,	PUNCT
ejpam-6216	745	7	s.	s.	PROPN
ejpam-6216	745	8	j.	j.	PROPN
ejpam-6216	745	9	john	john	PROPN
ejpam-6216	745	10	,	,	PUNCT
ejpam-6216	745	11	and	and	CCONJ
ejpam-6216	745	12	h.	h.	PROPN
ejpam-6216	745	13	garg	garg	PROPN
ejpam-6216	745	14	.	.	PUNCT
ejpam-6216	746	1	vertex	vertex	PROPN
ejpam-6216	746	2	rough	rough	ADJ
ejpam-6216	746	3	graphs	graph	NOUN
ejpam-6216	746	4	.	.	PUNCT
ejpam-6216	747	1	complex	complex	ADJ
ejpam-6216	747	2	&	&	CCONJ
ejpam-6216	747	3	intelligent	intelligent	ADJ
ejpam-6216	747	4	systems	system	NOUN
ejpam-6216	747	5	,	,	PUNCT
ejpam-6216	747	6	6:347–353	6:347–353	NUM
ejpam-6216	747	7	,	,	PUNCT
ejpam-6216	747	8	2020	2020	NUM
ejpam-6216	747	9	.	.	PUNCT
ejpam-6216	748	1	[	[	X
ejpam-6216	748	2	58	58	NUM
ejpam-6216	748	3	]	]	PUNCT
ejpam-6216	748	4	m.	m.	NOUN
ejpam-6216	748	5	akram	akram	PROPN
ejpam-6216	748	6	and	and	CCONJ
ejpam-6216	748	7	m.	m.	PROPN
ejpam-6216	748	8	arshad	arshad	PROPN
ejpam-6216	748	9	.	.	PROPN
ejpam-6216	749	1	fuzzy	fuzzy	ADJ
ejpam-6216	749	2	rough	rough	ADJ
ejpam-6216	749	3	graph	graph	NOUN
ejpam-6216	749	4	theory	theory	NOUN
ejpam-6216	749	5	with	with	ADP
ejpam-6216	749	6	applications	application	NOUN
ejpam-6216	749	7	.	.	PUNCT
ejpam-6216	750	1	international	international	ADJ
ejpam-6216	750	2	journal	journal	NOUN
ejpam-6216	750	3	of	of	ADP
ejpam-6216	750	4	computational	computational	ADJ
ejpam-6216	750	5	intelligence	intelligence	NOUN
ejpam-6216	750	6	systems	system	NOUN
ejpam-6216	750	7	,	,	PUNCT
ejpam-6216	750	8	12(1):90–107	12(1):90–107	NUM
ejpam-6216	750	9	,	,	PUNCT
ejpam-6216	750	10	2018	2018	NUM
ejpam-6216	750	11	.	.	PUNCT
ejpam-6216	751	1	[	[	X
ejpam-6216	751	2	59	59	NUM
ejpam-6216	751	3	]	]	PUNCT
ejpam-6216	751	4	j.	j.	PROPN
ejpam-6216	751	5	chen	chen	PROPN
ejpam-6216	751	6	,	,	PUNCT
ejpam-6216	751	7	j.	j.	PROPN
ejpam-6216	751	8	mi	mi	PROPN
ejpam-6216	751	9	,	,	PUNCT
ejpam-6216	751	10	and	and	CCONJ
ejpam-6216	751	11	y.	y.	PROPN
ejpam-6216	751	12	lin	lin	PROPN
ejpam-6216	751	13	.	.	PUNCT
ejpam-6216	752	1	a	a	DET
ejpam-6216	752	2	graph	graph	NOUN
ejpam-6216	752	3	approach	approach	NOUN
ejpam-6216	752	4	for	for	ADP
ejpam-6216	752	5	fuzzy	fuzzy	ADJ
ejpam-6216	752	6	-	-	PUNCT
ejpam-6216	752	7	rough	rough	ADJ
ejpam-6216	752	8	feature	feature	NOUN
ejpam-6216	752	9	selection	selection	NOUN
ejpam-6216	752	10	.	.	PUNCT
ejpam-6216	753	1	fuzzy	fuzzy	ADJ
ejpam-6216	753	2	sets	set	NOUN
ejpam-6216	753	3	and	and	CCONJ
ejpam-6216	753	4	systems	system	NOUN
ejpam-6216	753	5	,	,	PUNCT
ejpam-6216	753	6	391:96–116	391:96–116	NUM
ejpam-6216	753	7	,	,	PUNCT
ejpam-6216	753	8	2020	2020	NUM
ejpam-6216	753	9	.	.	PUNCT
ejpam-6216	754	1	[	[	X
ejpam-6216	754	2	60	60	NUM
ejpam-6216	754	3	]	]	PUNCT
ejpam-6216	754	4	b.	b.	PROPN
ejpam-6216	754	5	said	say	VERB
ejpam-6216	754	6	,	,	PUNCT
ejpam-6216	754	7	m.	m.	NOUN
ejpam-6216	754	8	lathamaheswari	lathamaheswari	PROPN
ejpam-6216	754	9	,	,	PUNCT
ejpam-6216	754	10	p.	p.	PROPN
ejpam-6216	754	11	k.	k.	PROPN
ejpam-6216	755	1	singh	singh	PROPN
ejpam-6216	755	2	,	,	PUNCT
ejpam-6216	755	3	a.	a.	NOUN
ejpam-6216	755	4	a.	a.	NOUN
ejpam-6216	755	5	ouallane	ouallane	PROPN
ejpam-6216	755	6	,	,	PUNCT
ejpam-6216	755	7	a.	a.	NOUN
ejpam-6216	755	8	bakhouyi	bakhouyi	NOUN
ejpam-6216	755	9	,	,	PUNCT
ejpam-6216	755	10	a.	a.	NOUN
ejpam-6216	755	11	bakali	bakali	PROPN
ejpam-6216	755	12	,	,	PUNCT
ejpam-6216	755	13	and	and	CCONJ
ejpam-6216	755	14	n.	n.	PROPN
ejpam-6216	755	15	deivanayagampillai	deivanayagampillai	PROPN
ejpam-6216	755	16	.	.	PUNCT
ejpam-6216	756	1	an	an	DET
ejpam-6216	756	2	intelligent	intelligent	ADJ
ejpam-6216	756	3	traffic	traffic	NOUN
ejpam-6216	756	4	control	control	NOUN
ejpam-6216	756	5	system	system	NOUN
ejpam-6216	756	6	using	use	VERB
ejpam-6216	756	7	neutrosophic	neutrosophic	ADJ
ejpam-6216	756	8	sets	set	NOUN
ejpam-6216	756	9	,	,	PUNCT
ejpam-6216	756	10	rough	rough	ADJ
ejpam-6216	756	11	sets	set	NOUN
ejpam-6216	756	12	,	,	PUNCT
ejpam-6216	756	13	graph	graph	NOUN
ejpam-6216	756	14	theory	theory	NOUN
ejpam-6216	756	15	,	,	PUNCT
ejpam-6216	756	16	fuzzy	fuzzy	ADJ
ejpam-6216	756	17	sets	set	NOUN
ejpam-6216	756	18	and	and	CCONJ
ejpam-6216	756	19	its	its	PRON
ejpam-6216	756	20	extended	extended	ADJ
ejpam-6216	756	21	approach	approach	NOUN
ejpam-6216	756	22	:	:	PUNCT
ejpam-6216	756	23	a	a	DET
ejpam-6216	756	24	literature	literature	NOUN
ejpam-6216	756	25	review	review	NOUN
ejpam-6216	756	26	.	.	PUNCT
ejpam-6216	757	1	neutrosophic	neutrosophic	ADJ
ejpam-6216	757	2	sets	set	NOUN
ejpam-6216	757	3	and	and	CCONJ
ejpam-6216	757	4	systems	system	NOUN
ejpam-6216	757	5	,	,	PUNCT
ejpam-6216	757	6	50:10–26	50:10–26	NUM
ejpam-6216	757	7	,	,	PUNCT
ejpam-6216	757	8	2022	2022	NUM
ejpam-6216	757	9	.	.	PUNCT
ejpam-6216	758	1	[	[	X
ejpam-6216	758	2	61	61	NUM
ejpam-6216	758	3	]	]	PUNCT
ejpam-6216	758	4	m.	m.	NOUN
ejpam-6216	758	5	akram	akram	PROPN
ejpam-6216	758	6	and	and	CCONJ
ejpam-6216	758	7	f.	f.	PROPN
ejpam-6216	758	8	zafar	zafar	PROPN
ejpam-6216	758	9	.	.	PUNCT
ejpam-6216	759	1	hybrid	hybrid	ADJ
ejpam-6216	759	2	soft	soft	ADJ
ejpam-6216	759	3	computing	computing	NOUN
ejpam-6216	759	4	models	model	NOUN
ejpam-6216	759	5	applied	apply	VERB
ejpam-6216	759	6	to	to	ADP
ejpam-6216	759	7	graph	graph	NOUN
ejpam-6216	759	8	theory	theory	NOUN
ejpam-6216	759	9	,	,	PUNCT
ejpam-6216	759	10	volume	volume	NOUN
ejpam-6216	759	11	380	380	NUM
ejpam-6216	759	12	.	.	PUNCT
ejpam-6216	760	1	springer	springer	NOUN
ejpam-6216	760	2	international	international	ADJ
ejpam-6216	760	3	publishing	publishing	NOUN
ejpam-6216	760	4	,	,	PUNCT
ejpam-6216	760	5	cham	cham	PROPN
ejpam-6216	760	6	,	,	PUNCT
ejpam-6216	760	7	switzerland	switzerland	PROPN
ejpam-6216	760	8	,	,	PUNCT
ejpam-6216	760	9	2020	2020	NUM
ejpam-6216	760	10	.	.	PUNCT
ejpam-6216	761	1	[	[	X
ejpam-6216	761	2	62	62	NUM
ejpam-6216	761	3	]	]	PUNCT
ejpam-6216	761	4	u.	u.	PROPN
ejpam-6216	761	5	ahmad	ahmad	PROPN
ejpam-6216	761	6	and	and	CCONJ
ejpam-6216	761	7	i.	i.	NOUN
ejpam-6216	761	8	nawaz	nawaz	PROPN
ejpam-6216	761	9	.	.	PUNCT
ejpam-6216	762	1	directed	direct	VERB
ejpam-6216	762	2	rough	rough	ADJ
ejpam-6216	762	3	fuzzy	fuzzy	ADJ
ejpam-6216	762	4	graph	graph	NOUN
ejpam-6216	762	5	with	with	ADP
ejpam-6216	762	6	application	application	NOUN
ejpam-6216	762	7	to	to	ADP
ejpam-6216	762	8	trade	trade	NOUN
ejpam-6216	762	9	networking	networking	NOUN
ejpam-6216	762	10	.	.	PUNCT
ejpam-6216	763	1	computational	computational	ADJ
ejpam-6216	763	2	and	and	CCONJ
ejpam-6216	763	3	applied	applied	ADJ
ejpam-6216	763	4	mathematics	mathematic	NOUN
ejpam-6216	763	5	,	,	PUNCT
ejpam-6216	763	6	41(8):366	41(8):366	VERB
ejpam-6216	763	7	,	,	PUNCT
ejpam-6216	763	8	2022	2022	NUM
ejpam-6216	763	9	.	.	PUNCT
ejpam-6216	764	1	[	[	X
ejpam-6216	764	2	63	63	NUM
ejpam-6216	764	3	]	]	PUNCT
ejpam-6216	764	4	u.	u.	PROPN
ejpam-6216	764	5	ahmad	ahmad	PROPN
ejpam-6216	764	6	and	and	CCONJ
ejpam-6216	764	7	i.	i.	NOUN
ejpam-6216	764	8	nawaz	nawaz	PROPN
ejpam-6216	764	9	.	.	PUNCT
ejpam-6216	765	1	wiener	wiener	NOUN
ejpam-6216	765	2	index	index	NOUN
ejpam-6216	765	3	of	of	ADP
ejpam-6216	765	4	a	a	DET
ejpam-6216	765	5	directed	direct	VERB
ejpam-6216	765	6	rough	rough	ADJ
ejpam-6216	765	7	fuzzy	fuzzy	ADJ
ejpam-6216	765	8	graph	graph	NOUN
ejpam-6216	765	9	and	and	CCONJ
ejpam-6216	765	10	application	application	NOUN
ejpam-6216	765	11	to	to	ADP
ejpam-6216	765	12	human	human	ADJ
ejpam-6216	765	13	trafficking	trafficking	NOUN
ejpam-6216	765	14	.	.	PUNCT
ejpam-6216	766	1	journal	journal	NOUN
ejpam-6216	766	2	of	of	ADP
ejpam-6216	766	3	intelligent	intelligent	ADJ
ejpam-6216	766	4	&	&	CCONJ
ejpam-6216	766	5	fuzzy	fuzzy	ADJ
ejpam-6216	766	6	systems	system	NOUN
ejpam-6216	766	7	,	,	PUNCT
ejpam-6216	766	8	2023	2023	NUM
ejpam-6216	766	9	.	.	PUNCT
ejpam-6216	767	1	preprint	preprint	NOUN
ejpam-6216	767	2	,	,	PUNCT
ejpam-6216	767	3	1–17	1–17	PROPN
ejpam-6216	767	4	.	.	PUNCT
ejpam-6216	768	1	[	[	X
ejpam-6216	768	2	64	64	NUM
ejpam-6216	768	3	]	]	PUNCT
ejpam-6216	768	4	i.	i.	NOUN
ejpam-6216	768	5	nawaz	nawaz	NOUN
ejpam-6216	768	6	and	and	CCONJ
ejpam-6216	768	7	u.	u.	PROPN
ejpam-6216	768	8	ahmad	ahmad	PROPN
ejpam-6216	768	9	.	.	PUNCT
ejpam-6216	769	1	certain	certain	ADJ
ejpam-6216	769	2	concepts	concept	NOUN
ejpam-6216	769	3	in	in	ADP
ejpam-6216	769	4	directed	direct	VERB
ejpam-6216	769	5	rough	rough	ADJ
ejpam-6216	769	6	fuzzy	fuzzy	ADJ
ejpam-6216	769	7	graphs	graph	NOUN
ejpam-6216	769	8	and	and	CCONJ
ejpam-6216	769	9	application	application	NOUN
ejpam-6216	769	10	to	to	ADP
ejpam-6216	769	11	mergers	merger	NOUN
ejpam-6216	769	12	of	of	ADP
ejpam-6216	769	13	companies	company	NOUN
ejpam-6216	769	14	.	.	PUNCT
ejpam-6216	770	1	fuzzy	fuzzy	ADJ
ejpam-6216	770	2	information	information	NOUN
ejpam-6216	770	3	and	and	CCONJ
ejpam-6216	770	4	engineering	engineering	NOUN
ejpam-6216	770	5	,	,	PUNCT
ejpam-6216	770	6	15(3	15(3	NUM
ejpam-6216	770	7	)	)	PUNCT
ejpam-6216	770	8	,	,	PUNCT
ejpam-6216	770	9	2023	2023	NUM
ejpam-6216	770	10	.	.	PUNCT
ejpam-6216	771	1	[	[	X
ejpam-6216	771	2	65	65	NUM
ejpam-6216	771	3	]	]	X
ejpam-6216	771	4	m.	m.	NOUN
ejpam-6216	771	5	akram	akram	PROPN
ejpam-6216	771	6	and	and	CCONJ
ejpam-6216	771	7	f.	f.	PROPN
ejpam-6216	771	8	zafar	zafar	PROPN
ejpam-6216	771	9	.	.	PUNCT
ejpam-6216	772	1	a	a	DET
ejpam-6216	772	2	new	new	ADJ
ejpam-6216	772	3	approach	approach	NOUN
ejpam-6216	772	4	to	to	PART
ejpam-6216	772	5	compute	compute	VERB
ejpam-6216	772	6	measures	measure	NOUN
ejpam-6216	772	7	of	of	ADP
ejpam-6216	772	8	connectivity	connectivity	NOUN
ejpam-6216	772	9	in	in	ADP
ejpam-6216	772	10	rough	rough	ADJ
ejpam-6216	772	11	fuzzy	fuzzy	ADJ
ejpam-6216	772	12	network	network	NOUN
ejpam-6216	772	13	models	model	NOUN
ejpam-6216	772	14	.	.	PUNCT
ejpam-6216	773	1	journal	journal	NOUN
ejpam-6216	773	2	of	of	ADP
ejpam-6216	773	3	intelligent	intelligent	ADJ
ejpam-6216	773	4	&	&	CCONJ
ejpam-6216	773	5	fuzzy	fuzzy	ADJ
ejpam-6216	773	6	systems	system	NOUN
ejpam-6216	773	7	,	,	PUNCT
ejpam-6216	773	8	36(1):449–465	36(1):449–465	NUM
ejpam-6216	773	9	,	,	PUNCT
ejpam-6216	773	10	2019	2019	NUM
ejpam-6216	773	11	.	.	PUNCT
ejpam-6216	774	1	[	[	X
ejpam-6216	774	2	66	66	NUM
ejpam-6216	774	3	]	]	PUNCT
ejpam-6216	774	4	u.	u.	PROPN
ejpam-6216	774	5	ahmad	ahmad	PROPN
ejpam-6216	774	6	,	,	PUNCT
ejpam-6216	774	7	i.	i.	NOUN
ejpam-6216	774	8	nawaz	nawaz	NOUN
ejpam-6216	774	9	,	,	PUNCT
ejpam-6216	774	10	and	and	CCONJ
ejpam-6216	774	11	s.	s.	PROPN
ejpam-6216	774	12	broumi	broumi	PROPN
ejpam-6216	774	13	.	.	PUNCT
ejpam-6216	775	1	connectivity	connectivity	NOUN
ejpam-6216	775	2	index	index	NOUN
ejpam-6216	775	3	of	of	ADP
ejpam-6216	775	4	directed	direct	VERB
ejpam-6216	775	5	rough	rough	ADJ
ejpam-6216	775	6	fuzzy	fuzzy	ADJ
ejpam-6216	775	7	graphs	graph	NOUN
ejpam-6216	775	8	and	and	CCONJ
ejpam-6216	775	9	its	its	PRON
ejpam-6216	775	10	application	application	NOUN
ejpam-6216	775	11	in	in	ADP
ejpam-6216	775	12	traffic	traffic	NOUN
ejpam-6216	775	13	flow	flow	NOUN
ejpam-6216	775	14	network	network	NOUN
ejpam-6216	775	15	.	.	PUNCT
ejpam-6216	776	1	granular	granular	ADJ
ejpam-6216	776	2	computing	computing	NOUN
ejpam-6216	776	3	,	,	PUNCT
ejpam-6216	776	4	pages	page	NOUN
ejpam-6216	776	5	1–22	1–22	PROPN
ejpam-6216	776	6	,	,	PUNCT
ejpam-6216	776	7	2023	2023	NUM
ejpam-6216	776	8	.	.	PUNCT
ejpam-6216	777	1	[	[	X
ejpam-6216	777	2	67	67	NUM
ejpam-6216	777	3	]	]	X
ejpam-6216	777	4	u.	u.	PROPN
ejpam-6216	777	5	ahmad	ahmad	PROPN
ejpam-6216	777	6	and	and	CCONJ
ejpam-6216	777	7	t.	t.	PROPN
ejpam-6216	777	8	batool	batool	NOUN
ejpam-6216	777	9	.	.	PUNCT
ejpam-6216	778	1	domination	domination	NOUN
ejpam-6216	778	2	in	in	ADP
ejpam-6216	778	3	rough	rough	ADJ
ejpam-6216	778	4	fuzzy	fuzzy	ADJ
ejpam-6216	778	5	digraphs	digraph	NOUN
ejpam-6216	778	6	with	with	ADP
ejpam-6216	778	7	application	application	NOUN
ejpam-6216	778	8	.	.	PUNCT
ejpam-6216	779	1	soft	soft	ADJ
ejpam-6216	779	2	computing	computing	NOUN
ejpam-6216	779	3	,	,	PUNCT
ejpam-6216	779	4	27(5):2425–2442	27(5):2425–2442	NUM
ejpam-6216	779	5	,	,	PUNCT
ejpam-6216	779	6	2023	2023	NUM
ejpam-6216	779	7	.	.	PUNCT
ejpam-6216	780	1	[	[	X
ejpam-6216	780	2	68	68	NUM
ejpam-6216	780	3	]	]	X
ejpam-6216	780	4	h.	h.	PROPN
ejpam-6216	780	5	khan	khan	PROPN
ejpam-6216	780	6	,	,	PUNCT
ejpam-6216	780	7	s.	s.	PROPN
ejpam-6216	780	8	ahmed	ahmed	PROPN
ejpam-6216	780	9	,	,	PUNCT
ejpam-6216	780	10	j.	j.	PROPN
ejpam-6216	780	11	alzabut	alzabut	PROPN
ejpam-6216	780	12	,	,	PUNCT
ejpam-6216	780	13	a.	a.	PROPN
ejpam-6216	780	14	t.	t.	PROPN
ejpam-6216	780	15	azar	azar	PROPN
ejpam-6216	780	16	,	,	PUNCT
ejpam-6216	780	17	and	and	CCONJ
ejpam-6216	780	18	j.	j.	PROPN
ejpam-6216	780	19	f.	f.	PROPN
ejpam-6216	780	20	gómez	gómez	PROPN
ejpam-6216	780	21	-	-	PUNCT
ejpam-6216	780	22	aguilar	aguilar	PROPN
ejpam-6216	780	23	.	.	PUNCT
ejpam-6216	781	1	nonlinear	nonlinear	PROPN
ejpam-6216	781	2	a.	a.	PROPN
ejpam-6216	781	3	arif	arif	PROPN
ejpam-6216	781	4	et	et	PROPN
ejpam-6216	781	5	al	al	PROPN
ejpam-6216	781	6	.	.	PUNCT
ejpam-6216	781	7	/	/	SYM
ejpam-6216	781	8	eur	eur	PROPN
ejpam-6216	781	9	.	.	PUNCT
ejpam-6216	782	1	j.	j.	PROPN
ejpam-6216	782	2	pure	pure	PROPN
ejpam-6216	782	3	appl	appl	PROPN
ejpam-6216	782	4	.	.	PROPN
ejpam-6216	782	5	math	math	PROPN
ejpam-6216	782	6	,	,	PUNCT
ejpam-6216	782	7	18	18	NUM
ejpam-6216	782	8	(	(	PUNCT
ejpam-6216	782	9	4	4	NUM
ejpam-6216	782	10	)	)	PUNCT
ejpam-6216	782	11	(	(	PUNCT
ejpam-6216	782	12	2025	2025	NUM
ejpam-6216	782	13	)	)	PUNCT
ejpam-6216	782	14	,	,	PUNCT
ejpam-6216	782	15	6216	6216	NUM
ejpam-6216	782	16	35	35	NUM
ejpam-6216	782	17	of	of	ADP
ejpam-6216	782	18	36	36	NUM
ejpam-6216	782	19	variable	variable	ADJ
ejpam-6216	782	20	order	order	NOUN
ejpam-6216	782	21	system	system	NOUN
ejpam-6216	782	22	of	of	ADP
ejpam-6216	782	23	multi	multi	ADJ
ejpam-6216	782	24	-	-	ADJ
ejpam-6216	782	25	point	point	ADJ
ejpam-6216	782	26	boundary	boundary	ADJ
ejpam-6216	782	27	conditions	condition	NOUN
ejpam-6216	782	28	with	with	ADP
ejpam-6216	782	29	adaptive	adaptive	ADJ
ejpam-6216	782	30	finite	finite	ADJ
ejpam-6216	782	31	-	-	PUNCT
ejpam-6216	782	32	time	time	NOUN
ejpam-6216	782	33	fractional	fractional	ADJ
ejpam-6216	782	34	-	-	PUNCT
ejpam-6216	782	35	order	order	NOUN
ejpam-6216	782	36	sliding	slide	VERB
ejpam-6216	782	37	mode	mode	NOUN
ejpam-6216	782	38	control	control	NOUN
ejpam-6216	782	39	.	.	PUNCT
ejpam-6216	783	1	international	international	ADJ
ejpam-6216	783	2	journal	journal	PROPN
ejpam-6216	783	3	of	of	ADP
ejpam-6216	783	4	dynamics	dynamic	NOUN
ejpam-6216	783	5	and	and	CCONJ
ejpam-6216	783	6	control	control	NOUN
ejpam-6216	783	7	,	,	PUNCT
ejpam-6216	783	8	pages	page	NOUN
ejpam-6216	783	9	1–17	1–17	PROPN
ejpam-6216	783	10	,	,	PUNCT
ejpam-6216	783	11	2024	2024	NUM
ejpam-6216	783	12	.	.	PUNCT
ejpam-6216	784	1	[	[	X
ejpam-6216	784	2	69	69	NUM
ejpam-6216	784	3	]	]	X
ejpam-6216	784	4	h.	h.	PROPN
ejpam-6216	784	5	khan	khan	PROPN
ejpam-6216	784	6	,	,	PUNCT
ejpam-6216	784	7	m.	m.	PROPN
ejpam-6216	784	8	aslam	aslam	PROPN
ejpam-6216	784	9	,	,	PUNCT
ejpam-6216	784	10	a.	a.	PROPN
ejpam-6216	784	11	h.	h.	PROPN
ejpam-6216	784	12	rajpar	rajpar	PROPN
ejpam-6216	784	13	,	,	PUNCT
ejpam-6216	784	14	y.	y.	PROPN
ejpam-6216	784	15	m.	m.	PROPN
ejpam-6216	784	16	chu	chu	PROPN
ejpam-6216	784	17	,	,	PUNCT
ejpam-6216	784	18	s.	s.	PROPN
ejpam-6216	784	19	etemad	etemad	PROPN
ejpam-6216	784	20	,	,	PUNCT
ejpam-6216	784	21	s.	s.	PROPN
ejpam-6216	784	22	rezapour	rezapour	PROPN
ejpam-6216	784	23	,	,	PUNCT
ejpam-6216	784	24	and	and	CCONJ
ejpam-6216	784	25	h.	h.	PROPN
ejpam-6216	784	26	ahmad	ahmad	PROPN
ejpam-6216	784	27	.	.	PUNCT
ejpam-6216	785	1	a	a	DET
ejpam-6216	785	2	new	new	ADJ
ejpam-6216	785	3	fractal	fractal	ADJ
ejpam-6216	785	4	-	-	PUNCT
ejpam-6216	785	5	fractional	fractional	ADJ
ejpam-6216	785	6	hybrid	hybrid	ADJ
ejpam-6216	785	7	model	model	NOUN
ejpam-6216	785	8	for	for	ADP
ejpam-6216	785	9	studying	study	VERB
ejpam-6216	785	10	climate	climate	NOUN
ejpam-6216	785	11	change	change	NOUN
ejpam-6216	785	12	on	on	ADP
ejpam-6216	785	13	coastal	coastal	ADJ
ejpam-6216	785	14	ecosystems	ecosystem	NOUN
ejpam-6216	785	15	from	from	ADP
ejpam-6216	785	16	the	the	DET
ejpam-6216	785	17	mathematical	mathematical	ADJ
ejpam-6216	785	18	point	point	NOUN
ejpam-6216	785	19	of	of	ADP
ejpam-6216	785	20	view	view	NOUN
ejpam-6216	785	21	.	.	PUNCT
ejpam-6216	786	1	fractals	fractal	NOUN
ejpam-6216	786	2	,	,	PUNCT
ejpam-6216	786	3	page	page	NOUN
ejpam-6216	786	4	2440015	2440015	NUM
ejpam-6216	786	5	,	,	PUNCT
ejpam-6216	786	6	2024	2024	NUM
ejpam-6216	786	7	.	.	PUNCT
ejpam-6216	787	1	[	[	X
ejpam-6216	787	2	70	70	NUM
ejpam-6216	787	3	]	]	X
ejpam-6216	787	4	s.	s.	PROPN
ejpam-6216	787	5	kundu	kundu	PROPN
ejpam-6216	787	6	,	,	PUNCT
ejpam-6216	787	7	j.	j.	PROPN
ejpam-6216	787	8	alzabut	alzabut	PROPN
ejpam-6216	787	9	,	,	PUNCT
ejpam-6216	787	10	m.	m.	PROPN
ejpam-6216	787	11	e.	e.	PROPN
ejpam-6216	787	12	samei	samei	PROPN
ejpam-6216	787	13	,	,	PUNCT
ejpam-6216	787	14	and	and	CCONJ
ejpam-6216	787	15	h.	h.	PROPN
ejpam-6216	787	16	khan	khan	PROPN
ejpam-6216	787	17	.	.	PUNCT
ejpam-6216	788	1	habitat	habitat	PROPN
ejpam-6216	788	2	complexity	complexity	NOUN
ejpam-6216	788	3	of	of	ADP
ejpam-6216	788	4	a	a	DET
ejpam-6216	788	5	discrete	discrete	ADJ
ejpam-6216	788	6	predator	predator	NOUN
ejpam-6216	788	7	-	-	PUNCT
ejpam-6216	788	8	prey	prey	NOUN
ejpam-6216	788	9	model	model	NOUN
ejpam-6216	788	10	with	with	ADP
ejpam-6216	788	11	hassell	hassell	PROPN
ejpam-6216	788	12	-	-	PUNCT
ejpam-6216	788	13	varley	varley	PROPN
ejpam-6216	788	14	type	type	NOUN
ejpam-6216	788	15	functional	functional	ADJ
ejpam-6216	788	16	response	response	NOUN
ejpam-6216	788	17	.	.	PUNCT
ejpam-6216	789	1	community	community	NOUN
ejpam-6216	789	2	and	and	CCONJ
ejpam-6216	789	3	ecology	ecology	NOUN
ejpam-6216	789	4	,	,	PUNCT
ejpam-6216	789	5	1(1	1(1	NUM
ejpam-6216	789	6	)	)	PUNCT
ejpam-6216	789	7	,	,	PUNCT
ejpam-6216	789	8	2023	2023	NUM
ejpam-6216	789	9	.	.	PUNCT
ejpam-6216	790	1	[	[	X
ejpam-6216	790	2	71	71	NUM
ejpam-6216	790	3	]	]	PUNCT
ejpam-6216	790	4	j.	j.	PROPN
ejpam-6216	790	5	alzabut	alzabut	PROPN
ejpam-6216	790	6	,	,	PUNCT
ejpam-6216	790	7	r.	r.	PROPN
ejpam-6216	790	8	dhineshbabu	dhineshbabu	PROPN
ejpam-6216	790	9	,	,	PUNCT
ejpam-6216	790	10	a.	a.	PROPN
ejpam-6216	790	11	g.	g.	PROPN
ejpam-6216	790	12	m.	m.	PROPN
ejpam-6216	790	13	selvam	selvam	PROPN
ejpam-6216	790	14	,	,	PUNCT
ejpam-6216	790	15	j.	j.	PROPN
ejpam-6216	790	16	f.	f.	PROPN
ejpam-6216	790	17	gómez	gómez	PROPN
ejpam-6216	790	18	-	-	PUNCT
ejpam-6216	790	19	aguilar	aguilar	ADJ
ejpam-6216	790	20	,	,	PUNCT
ejpam-6216	790	21	and	and	CCONJ
ejpam-6216	790	22	h.	h.	PROPN
ejpam-6216	790	23	khan	khan	PROPN
ejpam-6216	790	24	.	.	PUNCT
ejpam-6216	791	1	existence	existence	NOUN
ejpam-6216	791	2	,	,	PUNCT
ejpam-6216	791	3	uniqueness	uniqueness	NOUN
ejpam-6216	791	4	and	and	CCONJ
ejpam-6216	791	5	synchronization	synchronization	NOUN
ejpam-6216	791	6	of	of	ADP
ejpam-6216	791	7	a	a	DET
ejpam-6216	791	8	fractional	fractional	ADJ
ejpam-6216	791	9	tumor	tumor	NOUN
ejpam-6216	791	10	growth	growth	NOUN
ejpam-6216	791	11	model	model	NOUN
ejpam-6216	791	12	in	in	ADP
ejpam-6216	791	13	discrete	discrete	ADJ
ejpam-6216	791	14	time	time	NOUN
ejpam-6216	791	15	with	with	ADP
ejpam-6216	791	16	numerical	numerical	ADJ
ejpam-6216	791	17	results	result	NOUN
ejpam-6216	791	18	.	.	PUNCT
ejpam-6216	792	1	results	result	NOUN
ejpam-6216	792	2	in	in	ADP
ejpam-6216	792	3	physics	physics	NOUN
ejpam-6216	792	4	,	,	PUNCT
ejpam-6216	792	5	54:107030	54:107030	NUM
ejpam-6216	792	6	,	,	PUNCT
ejpam-6216	792	7	2023	2023	NUM
ejpam-6216	792	8	.	.	PUNCT
ejpam-6216	793	1	[	[	X
ejpam-6216	793	2	72	72	NUM
ejpam-6216	793	3	]	]	X
ejpam-6216	793	4	m.	m.	NOUN
ejpam-6216	793	5	akram	akram	PROPN
ejpam-6216	793	6	,	,	PUNCT
ejpam-6216	793	7	a.	a.	PROPN
ejpam-6216	793	8	j.	j.	PROPN
ejpam-6216	793	9	c.	c.	PROPN
ejpam-6216	793	10	r.	r.	PROPN
ejpam-6216	793	11	shumaiza	shumaiza	PROPN
ejpam-6216	793	12	,	,	PUNCT
ejpam-6216	793	13	and	and	CCONJ
ejpam-6216	793	14	j.	j.	PROPN
ejpam-6216	793	15	c.	c.	PROPN
ejpam-6216	793	16	r.	r.	PROPN
ejpam-6216	793	17	alcantud	alcantud	PROPN
ejpam-6216	793	18	.	.	PUNCT
ejpam-6216	794	1	multi	multi	ADJ
ejpam-6216	794	2	-	-	ADJ
ejpam-6216	794	3	criteria	criterion	NOUN
ejpam-6216	794	4	decision	decision	NOUN
ejpam-6216	794	5	making	make	VERB
ejpam-6216	794	6	methods	method	NOUN
ejpam-6216	794	7	with	with	ADP
ejpam-6216	794	8	bipolar	bipolar	ADJ
ejpam-6216	794	9	fuzzy	fuzzy	ADJ
ejpam-6216	794	10	sets	set	NOUN
ejpam-6216	794	11	.	.	PUNCT
ejpam-6216	795	1	in	in	ADP
ejpam-6216	795	2	mathematics	mathematic	NOUN
ejpam-6216	795	3	,	,	PUNCT
ejpam-6216	795	4	pages	page	NOUN
ejpam-6216	795	5	214–226	214–226	NUM
ejpam-6216	795	6	.	.	PUNCT
ejpam-6216	795	7	springer	springer	PROPN
ejpam-6216	795	8	,	,	PUNCT
ejpam-6216	795	9	singapore	singapore	PROPN
ejpam-6216	795	10	,	,	PUNCT
ejpam-6216	795	11	2023	2023	NUM
ejpam-6216	795	12	.	.	PUNCT
ejpam-6216	796	1	[	[	X
ejpam-6216	796	2	73	73	NUM
ejpam-6216	796	3	]	]	X
ejpam-6216	796	4	g.	g.	PROPN
ejpam-6216	796	5	ali	ali	PROPN
ejpam-6216	796	6	,	,	PUNCT
ejpam-6216	796	7	m.	m.	NOUN
ejpam-6216	796	8	akram	akram	PROPN
ejpam-6216	796	9	,	,	PUNCT
ejpam-6216	796	10	and	and	CCONJ
ejpam-6216	796	11	j.	j.	PROPN
ejpam-6216	796	12	c.	c.	PROPN
ejpam-6216	796	13	r.	r.	PROPN
ejpam-6216	796	14	alcantud	alcantud	PROPN
ejpam-6216	796	15	.	.	PUNCT
ejpam-6216	796	16	attributes	attribute	VERB
ejpam-6216	796	17	reductions	reduction	NOUN
ejpam-6216	796	18	of	of	ADP
ejpam-6216	796	19	bipolar	bipolar	ADJ
ejpam-6216	796	20	fuzzy	fuzzy	ADJ
ejpam-6216	796	21	relation	relation	NOUN
ejpam-6216	796	22	decision	decision	NOUN
ejpam-6216	796	23	systems	system	NOUN
ejpam-6216	796	24	.	.	PUNCT
ejpam-6216	797	1	neural	neural	ADJ
ejpam-6216	797	2	computing	computing	NOUN
ejpam-6216	797	3	and	and	CCONJ
ejpam-6216	797	4	applications	application	NOUN
ejpam-6216	797	5	,	,	PUNCT
ejpam-6216	797	6	32(14):10051–10071	32(14):10051–10071	NUM
ejpam-6216	797	7	,	,	PUNCT
ejpam-6216	797	8	2020	2020	NUM
ejpam-6216	797	9	.	.	PUNCT
ejpam-6216	798	1	[	[	X
ejpam-6216	798	2	74	74	NUM
ejpam-6216	798	3	]	]	PUNCT
ejpam-6216	798	4	m.	m.	NOUN
ejpam-6216	798	5	akram	akram	PROPN
ejpam-6216	798	6	,	,	PUNCT
ejpam-6216	798	7	u.	u.	PROPN
ejpam-6216	798	8	amjad	amjad	PROPN
ejpam-6216	798	9	,	,	PUNCT
ejpam-6216	798	10	and	and	CCONJ
ejpam-6216	798	11	b.	b.	PROPN
ejpam-6216	798	12	davvaz	davvaz	PROPN
ejpam-6216	798	13	.	.	PUNCT
ejpam-6216	799	1	decision	decision	NOUN
ejpam-6216	799	2	-	-	PUNCT
ejpam-6216	799	3	making	make	VERB
ejpam-6216	799	4	analysis	analysis	NOUN
ejpam-6216	799	5	based	base	VERB
ejpam-6216	799	6	on	on	ADP
ejpam-6216	799	7	bipolar	bipolar	ADJ
ejpam-6216	799	8	fuzzy	fuzzy	ADJ
ejpam-6216	799	9	n	n	CCONJ
ejpam-6216	799	10	-	-	PUNCT
ejpam-6216	799	11	soft	soft	ADJ
ejpam-6216	799	12	information	information	NOUN
ejpam-6216	799	13	.	.	PUNCT
ejpam-6216	800	1	computational	computational	ADJ
ejpam-6216	800	2	and	and	CCONJ
ejpam-6216	800	3	applied	applied	ADJ
ejpam-6216	800	4	mathematics	mathematic	NOUN
ejpam-6216	800	5	,	,	PUNCT
ejpam-6216	800	6	40(6):182	40(6):182	NOUN
ejpam-6216	800	7	,	,	PUNCT
ejpam-6216	800	8	2021	2021	NUM
ejpam-6216	800	9	.	.	PUNCT
ejpam-6216	801	1	[	[	X
ejpam-6216	801	2	75	75	NUM
ejpam-6216	801	3	]	]	PUNCT
ejpam-6216	801	4	m.	m.	NOUN
ejpam-6216	801	5	akram	akram	PROPN
ejpam-6216	801	6	and	and	CCONJ
ejpam-6216	801	7	a.	a.	PROPN
ejpam-6216	801	8	k.	k.	PROPN
ejpam-6216	801	9	shumaiza	shumaiza	PROPN
ejpam-6216	801	10	.	.	PUNCT
ejpam-6216	802	1	multi	multi	ADJ
ejpam-6216	802	2	-	-	ADJ
ejpam-6216	802	3	criteria	criterion	NOUN
ejpam-6216	802	4	group	group	NOUN
ejpam-6216	802	5	decision	decision	NOUN
ejpam-6216	802	6	-	-	PUNCT
ejpam-6216	802	7	making	making	NOUN
ejpam-6216	802	8	for	for	ADP
ejpam-6216	802	9	selection	selection	NOUN
ejpam-6216	802	10	of	of	ADP
ejpam-6216	802	11	green	green	ADJ
ejpam-6216	802	12	suppliers	supplier	NOUN
ejpam-6216	802	13	under	under	ADP
ejpam-6216	802	14	bipolar	bipolar	ADJ
ejpam-6216	802	15	fuzzy	fuzzy	ADJ
ejpam-6216	802	16	promethee	promethee	NOUN
ejpam-6216	802	17	process	process	NOUN
ejpam-6216	802	18	.	.	PUNCT
ejpam-6216	803	1	symmetry	symmetry	NOUN
ejpam-6216	803	2	,	,	PUNCT
ejpam-6216	803	3	12(1):77	12(1):77	NUM
ejpam-6216	803	4	,	,	PUNCT
ejpam-6216	803	5	2020	2020	NUM
ejpam-6216	803	6	.	.	PUNCT
ejpam-6216	804	1	[	[	X
ejpam-6216	804	2	76	76	NUM
ejpam-6216	804	3	]	]	X
ejpam-6216	804	4	m.	m.	NOUN
ejpam-6216	804	5	akram	akram	PROPN
ejpam-6216	804	6	,	,	PUNCT
ejpam-6216	804	7	shumaiza	shumaiza	NOUN
ejpam-6216	804	8	,	,	PUNCT
ejpam-6216	804	9	and	and	CCONJ
ejpam-6216	804	10	m.	m.	PROPN
ejpam-6216	804	11	arshad	arshad	VERB
ejpam-6216	804	12	.	.	PUNCT
ejpam-6216	805	1	bipolar	bipolar	ADJ
ejpam-6216	805	2	fuzzy	fuzzy	ADJ
ejpam-6216	805	3	topsis	topsis	NOUN
ejpam-6216	805	4	and	and	CCONJ
ejpam-6216	805	5	bipolar	bipolar	ADJ
ejpam-6216	805	6	fuzzy	fuzzy	ADJ
ejpam-6216	805	7	electre	electre	NOUN
ejpam-6216	805	8	-	-	PUNCT
ejpam-6216	805	9	i	i	PRON
ejpam-6216	805	10	methods	method	VERB
ejpam-6216	805	11	to	to	PART
ejpam-6216	805	12	diagnosis	diagnosis	VERB
ejpam-6216	805	13	.	.	PUNCT
ejpam-6216	806	1	computational	computational	ADJ
ejpam-6216	806	2	and	and	CCONJ
ejpam-6216	806	3	applied	applied	ADJ
ejpam-6216	806	4	mathematics	mathematic	NOUN
ejpam-6216	806	5	,	,	PUNCT
ejpam-6216	806	6	39(1):7	39(1):7	NUM
ejpam-6216	806	7	,	,	PUNCT
ejpam-6216	806	8	2020	2020	NUM
ejpam-6216	806	9	.	.	PUNCT
ejpam-6216	807	1	[	[	X
ejpam-6216	807	2	77	77	NUM
ejpam-6216	807	3	]	]	X
ejpam-6216	807	4	g.	g.	PROPN
ejpam-6216	807	5	ali	ali	PROPN
ejpam-6216	807	6	,	,	PUNCT
ejpam-6216	807	7	m.	m.	PROPN
ejpam-6216	807	8	akram	akram	PROPN
ejpam-6216	807	9	,	,	PUNCT
ejpam-6216	807	10	a.	a.	PROPN
ejpam-6216	807	11	n.	n.	PROPN
ejpam-6216	807	12	koam	koam	PROPN
ejpam-6216	807	13	,	,	PUNCT
ejpam-6216	807	14	and	and	CCONJ
ejpam-6216	807	15	j.	j.	PROPN
ejpam-6216	807	16	c.	c.	PROPN
ejpam-6216	807	17	r.	r.	PROPN
ejpam-6216	807	18	alcantud	alcantud	PROPN
ejpam-6216	807	19	.	.	PUNCT
ejpam-6216	808	1	parameter	parameter	NOUN
ejpam-6216	808	2	reductions	reduction	NOUN
ejpam-6216	808	3	of	of	ADP
ejpam-6216	808	4	bipolar	bipolar	ADJ
ejpam-6216	808	5	fuzzy	fuzzy	ADJ
ejpam-6216	808	6	soft	soft	ADJ
ejpam-6216	808	7	sets	set	NOUN
ejpam-6216	808	8	with	with	ADP
ejpam-6216	808	9	their	their	PRON
ejpam-6216	808	10	decision	decision	NOUN
ejpam-6216	808	11	-	-	PUNCT
ejpam-6216	808	12	making	make	VERB
ejpam-6216	808	13	algorithms	algorithm	NOUN
ejpam-6216	808	14	.	.	PUNCT
ejpam-6216	809	1	symmetry	symmetry	NOUN
ejpam-6216	809	2	,	,	PUNCT
ejpam-6216	809	3	11(8):949	11(8):949	NUM
ejpam-6216	809	4	,	,	PUNCT
ejpam-6216	809	5	2019	2019	NUM
ejpam-6216	809	6	.	.	PUNCT
ejpam-6216	810	1	[	[	X
ejpam-6216	810	2	78	78	NUM
ejpam-6216	810	3	]	]	PUNCT
ejpam-6216	810	4	aliya	aliya	NOUN
ejpam-6216	810	5	fahmi	fahmi	PROPN
ejpam-6216	810	6	,	,	PUNCT
ejpam-6216	810	7	a.	a.	PROPN
ejpam-6216	810	8	hashmi	hashmi	PROPN
ejpam-6216	810	9	,	,	PUNCT
ejpam-6216	810	10	a.	a.	PROPN
ejpam-6216	810	11	khan	khan	PROPN
ejpam-6216	810	12	,	,	PUNCT
ejpam-6216	810	13	a.	a.	NOUN
ejpam-6216	810	14	mukheimer	mukheimer	PROPN
ejpam-6216	810	15	,	,	PUNCT
ejpam-6216	810	16	thabet	thabet	ADJ
ejpam-6216	810	17	abdeljawad	abdeljawad	NOUN
ejpam-6216	810	18	,	,	PUNCT
ejpam-6216	810	19	and	and	CCONJ
ejpam-6216	810	20	r.	r.	PROPN
ejpam-6216	810	21	thinakaran	thinakaran	PROPN
ejpam-6216	810	22	.	.	PUNCT
ejpam-6216	811	1	triangular	triangular	PROPN
ejpam-6216	811	2	intuitionistic	intuitionistic	ADJ
ejpam-6216	811	3	fuzzy	fuzzy	ADJ
ejpam-6216	811	4	frank	frank	ADJ
ejpam-6216	811	5	aggregation	aggregation	NOUN
ejpam-6216	811	6	for	for	ADP
ejpam-6216	811	7	efficient	efficient	ADJ
ejpam-6216	811	8	renewable	renewable	ADJ
ejpam-6216	811	9	energy	energy	NOUN
ejpam-6216	811	10	project	project	NOUN
ejpam-6216	811	11	selection	selection	NOUN
ejpam-6216	811	12	.	.	PUNCT
ejpam-6216	812	1	european	european	PROPN
ejpam-6216	812	2	journal	journal	PROPN
ejpam-6216	812	3	of	of	ADP
ejpam-6216	812	4	pure	pure	ADJ
ejpam-6216	812	5	and	and	CCONJ
ejpam-6216	812	6	applied	applied	ADJ
ejpam-6216	812	7	mathematics	mathematic	NOUN
ejpam-6216	812	8	,	,	PUNCT
ejpam-6216	812	9	18(3):6227–6227	18(3):6227–6227	NUM
ejpam-6216	812	10	,	,	PUNCT
ejpam-6216	812	11	2025	2025	NUM
ejpam-6216	812	12	.	.	PUNCT
ejpam-6216	813	1	[	[	X
ejpam-6216	813	2	79	79	NUM
ejpam-6216	813	3	]	]	PUNCT
ejpam-6216	813	4	aliya	aliya	NOUN
ejpam-6216	813	5	fahmi	fahmi	PROPN
ejpam-6216	813	6	,	,	PUNCT
ejpam-6216	813	7	a.	a.	PROPN
ejpam-6216	813	8	khan	khan	PROPN
ejpam-6216	813	9	,	,	PUNCT
ejpam-6216	813	10	a.	a.	PROPN
ejpam-6216	813	11	hashmi	hashmi	PROPN
ejpam-6216	813	12	,	,	PUNCT
ejpam-6216	813	13	a.	a.	PROPN
ejpam-6216	813	14	mukheimer	mukheimer	PROPN
ejpam-6216	813	15	,	,	PUNCT
ejpam-6216	813	16	thabet	thabet	ADJ
ejpam-6216	813	17	abdeljawad	abdeljawad	NOUN
ejpam-6216	813	18	,	,	PUNCT
ejpam-6216	813	19	and	and	CCONJ
ejpam-6216	813	20	r.	r.	PROPN
ejpam-6216	813	21	thinakaran	thinakaran	PROPN
ejpam-6216	813	22	.	.	PUNCT
ejpam-6216	814	1	domination	domination	NOUN
ejpam-6216	814	2	in	in	ADP
ejpam-6216	814	3	rough	rough	ADJ
ejpam-6216	814	4	m	m	ADJ
ejpam-6216	814	5	-	-	ADJ
ejpam-6216	814	6	polar	polar	ADJ
ejpam-6216	814	7	fuzzy	fuzzy	ADJ
ejpam-6216	814	8	digraphs	digraph	NOUN
ejpam-6216	814	9	based	base	VERB
ejpam-6216	814	10	on	on	ADP
ejpam-6216	814	11	trade	trade	NOUN
ejpam-6216	814	12	networking	networking	NOUN
ejpam-6216	814	13	.	.	PUNCT
ejpam-6216	815	1	european	european	ADJ
ejpam-6216	815	2	journal	journal	PROPN
ejpam-6216	815	3	of	of	ADP
ejpam-6216	815	4	pure	pure	ADJ
ejpam-6216	815	5	and	and	CCONJ
ejpam-6216	815	6	applied	applied	ADJ
ejpam-6216	815	7	mathematics	mathematic	NOUN
ejpam-6216	815	8	,	,	PUNCT
ejpam-6216	815	9	18(3):6301–6301	18(3):6301–6301	NUM
ejpam-6216	815	10	,	,	PUNCT
ejpam-6216	815	11	2025	2025	NUM
ejpam-6216	815	12	.	.	PUNCT
ejpam-6216	816	1	[	[	X
ejpam-6216	816	2	80	80	NUM
ejpam-6216	816	3	]	]	PUNCT
ejpam-6216	816	4	aliya	aliya	NOUN
ejpam-6216	816	5	fahmi	fahmi	PROPN
ejpam-6216	816	6	,	,	PUNCT
ejpam-6216	816	7	a.	a.	PROPN
ejpam-6216	816	8	khan	khan	PROPN
ejpam-6216	816	9	,	,	PUNCT
ejpam-6216	816	10	thabet	thabet	ADJ
ejpam-6216	816	11	abdeljawad	abdeljawad	NOUN
ejpam-6216	816	12	,	,	PUNCT
ejpam-6216	816	13	m.	m.	NOUN
ejpam-6216	816	14	a.	a.	PROPN
ejpam-6216	816	15	hassan	hassan	PROPN
ejpam-6216	816	16	,	,	PUNCT
ejpam-6216	816	17	a.	a.	NOUN
ejpam-6216	816	18	mukheimer	mukheimer	PROPN
ejpam-6216	816	19	,	,	PUNCT
ejpam-6216	816	20	and	and	CCONJ
ejpam-6216	816	21	r.	r.	PROPN
ejpam-6216	816	22	thinakaran	thinakaran	PROPN
ejpam-6216	816	23	.	.	PUNCT
ejpam-6216	817	1	analyzing	analyze	VERB
ejpam-6216	817	2	global	global	ADJ
ejpam-6216	817	3	economic	economic	ADJ
ejpam-6216	817	4	shifts	shift	NOUN
ejpam-6216	817	5	due	due	ADP
ejpam-6216	817	6	to	to	ADP
ejpam-6216	817	7	the	the	DET
ejpam-6216	817	8	afghan	afghan	PROPN
ejpam-6216	817	9	-	-	PUNCT
ejpam-6216	817	10	america	america	PROPN
ejpam-6216	817	11	war	war	NOUN
ejpam-6216	817	12	using	use	VERB
ejpam-6216	817	13	complex	complex	ADJ
ejpam-6216	817	14	cubic	cubic	ADJ
ejpam-6216	817	15	fuzzy	fuzzy	ADJ
ejpam-6216	817	16	todim	todim	NOUN
ejpam-6216	817	17	method	method	NOUN
ejpam-6216	817	18	.	.	PUNCT
ejpam-6216	818	1	european	european	PROPN
ejpam-6216	818	2	journal	journal	PROPN
ejpam-6216	818	3	of	of	ADP
ejpam-6216	818	4	pure	pure	ADJ
ejpam-6216	818	5	and	and	CCONJ
ejpam-6216	818	6	applied	applied	ADJ
ejpam-6216	818	7	mathematics	mathematic	NOUN
ejpam-6216	818	8	,	,	PUNCT
ejpam-6216	818	9	18(3):5866–5866	18(3):5866–5866	NUM
ejpam-6216	818	10	,	,	PUNCT
ejpam-6216	818	11	2025	2025	NUM
ejpam-6216	818	12	.	.	PUNCT
ejpam-6216	819	1	[	[	X
ejpam-6216	819	2	81	81	NUM
ejpam-6216	819	3	]	]	PUNCT
ejpam-6216	819	4	h.	h.	PROPN
ejpam-6216	819	5	khan	khan	PROPN
ejpam-6216	819	6	,	,	PUNCT
ejpam-6216	819	7	w.	w.	PROPN
ejpam-6216	819	8	f.	f.	PROPN
ejpam-6216	819	9	alfwzan	alfwzan	PROPN
ejpam-6216	819	10	,	,	PUNCT
ejpam-6216	819	11	r.	r.	PROPN
ejpam-6216	819	12	latif	latif	PROPN
ejpam-6216	819	13	,	,	PUNCT
ejpam-6216	819	14	j.	j.	PROPN
ejpam-6216	819	15	alzabut	alzabut	PROPN
ejpam-6216	819	16	,	,	PUNCT
ejpam-6216	819	17	and	and	CCONJ
ejpam-6216	819	18	r.	r.	PROPN
ejpam-6216	819	19	thinakaran	thinakaran	PROPN
ejpam-6216	819	20	.	.	PUNCT
ejpam-6216	820	1	ai	ai	VERB
ejpam-6216	820	2	-	-	PUNCT
ejpam-6216	820	3	based	base	VERB
ejpam-6216	820	4	deep	deep	ADJ
ejpam-6216	820	5	learning	learning	NOUN
ejpam-6216	820	6	of	of	ADP
ejpam-6216	820	7	the	the	DET
ejpam-6216	820	8	water	water	NOUN
ejpam-6216	820	9	cycle	cycle	NOUN
ejpam-6216	820	10	system	system	NOUN
ejpam-6216	820	11	and	and	CCONJ
ejpam-6216	820	12	its	its	PRON
ejpam-6216	820	13	effects	effect	NOUN
ejpam-6216	820	14	on	on	ADP
ejpam-6216	820	15	climate	climate	NOUN
ejpam-6216	820	16	change	change	NOUN
ejpam-6216	820	17	.	.	PUNCT
ejpam-6216	821	1	fractal	fractal	ADJ
ejpam-6216	821	2	and	and	CCONJ
ejpam-6216	821	3	fractional	fractional	ADJ
ejpam-6216	821	4	,	,	PUNCT
ejpam-6216	821	5	9(6):361	9(6):361	NUM
ejpam-6216	821	6	,	,	PUNCT
ejpam-6216	821	7	2025	2025	NUM
ejpam-6216	821	8	.	.	PUNCT
ejpam-6216	822	1	[	[	X
ejpam-6216	822	2	82	82	NUM
ejpam-6216	822	3	]	]	X
ejpam-6216	822	4	h.	h.	PROPN
ejpam-6216	822	5	khan	khan	PROPN
ejpam-6216	822	6	,	,	PUNCT
ejpam-6216	822	7	j.	j.	PROPN
ejpam-6216	822	8	alzabut	alzabut	PROPN
ejpam-6216	822	9	,	,	PUNCT
ejpam-6216	822	10	d.	d.	PROPN
ejpam-6216	822	11	k.	k.	PROPN
ejpam-6216	822	12	almutairi	almutairi	PROPN
ejpam-6216	822	13	,	,	PUNCT
ejpam-6216	822	14	h.	h.	PROPN
ejpam-6216	822	15	gulzar	gulzar	PROPN
ejpam-6216	822	16	,	,	PUNCT
ejpam-6216	822	17	and	and	CCONJ
ejpam-6216	822	18	w.	w.	PROPN
ejpam-6216	822	19	k.	k.	PROPN
ejpam-6216	822	20	alqurashi	alqurashi	PROPN
ejpam-6216	822	21	.	.	PUNCT
ejpam-6216	823	1	data	datum	NOUN
ejpam-6216	823	2	analysis	analysis	NOUN
ejpam-6216	823	3	of	of	ADP
ejpam-6216	823	4	fractal	fractal	ADJ
ejpam-6216	823	5	-	-	PUNCT
ejpam-6216	823	6	fractional	fractional	ADJ
ejpam-6216	823	7	co	co	NOUN
ejpam-6216	823	8	-	-	NOUN
ejpam-6216	823	9	infection	infection	ADJ
ejpam-6216	823	10	covid	covid	NOUN
ejpam-6216	823	11	-	-	PUNCT
ejpam-6216	823	12	tb	tb	ADP
ejpam-6216	823	13	model	model	NOUN
ejpam-6216	823	14	with	with	ADP
ejpam-6216	823	15	the	the	DET
ejpam-6216	823	16	use	use	NOUN
ejpam-6216	823	17	of	of	ADP
ejpam-6216	823	18	artificial	artificial	ADJ
ejpam-6216	823	19	intelligence	intelligence	NOUN
ejpam-6216	823	20	.	.	PUNCT
ejpam-6216	824	1	a.	a.	PROPN
ejpam-6216	824	2	arif	arif	PROPN
ejpam-6216	824	3	et	et	PROPN
ejpam-6216	824	4	al	al	PROPN
ejpam-6216	824	5	.	.	PUNCT
ejpam-6216	824	6	/	/	SYM
ejpam-6216	824	7	eur	eur	PROPN
ejpam-6216	824	8	.	.	PUNCT
ejpam-6216	825	1	j.	j.	PROPN
ejpam-6216	825	2	pure	pure	PROPN
ejpam-6216	825	3	appl	appl	PROPN
ejpam-6216	825	4	.	.	PROPN
ejpam-6216	825	5	math	math	PROPN
ejpam-6216	825	6	,	,	PUNCT
ejpam-6216	825	7	18	18	NUM
ejpam-6216	825	8	(	(	PUNCT
ejpam-6216	825	9	4	4	NUM
ejpam-6216	825	10	)	)	PUNCT
ejpam-6216	825	11	(	(	PUNCT
ejpam-6216	825	12	2025	2025	NUM
ejpam-6216	825	13	)	)	PUNCT
ejpam-6216	825	14	,	,	PUNCT
ejpam-6216	825	15	6216	6216	NUM
ejpam-6216	825	16	36	36	NUM
ejpam-6216	825	17	of	of	ADP
ejpam-6216	825	18	36	36	NUM
ejpam-6216	825	19	fractals	fractal	NOUN
ejpam-6216	825	20	,	,	PUNCT
ejpam-6216	825	21	33(4):1–21	33(4):1–21	NUM
ejpam-6216	825	22	,	,	PUNCT
ejpam-6216	825	23	20255	20255	NUM
ejpam-6216	825	24	.	.	PUNCT
ejpam-6216	826	1	[	[	X
ejpam-6216	826	2	83	83	NUM
ejpam-6216	826	3	]	]	X
ejpam-6216	826	4	h.	h.	PROPN
ejpam-6216	826	5	khan	khan	PROPN
ejpam-6216	826	6	,	,	PUNCT
ejpam-6216	826	7	m.	m.	NOUN
ejpam-6216	826	8	abdel	abdel	PROPN
ejpam-6216	826	9	-	-	PUNCT
ejpam-6216	826	10	aty	aty	PROPN
ejpam-6216	826	11	,	,	PUNCT
ejpam-6216	826	12	d.	d.	PROPN
ejpam-6216	826	13	k.	k.	PROPN
ejpam-6216	826	14	almutairi	almutairi	PROPN
ejpam-6216	826	15	,	,	PUNCT
ejpam-6216	826	16	j.	j.	PROPN
ejpam-6216	826	17	f.	f.	PROPN
ejpam-6216	826	18	gómez	gómez	PROPN
ejpam-6216	826	19	-	-	PUNCT
ejpam-6216	826	20	aguilar	aguilar	ADJ
ejpam-6216	826	21	,	,	PUNCT
ejpam-6216	826	22	and	and	CCONJ
ejpam-6216	826	23	j.	j.	PROPN
ejpam-6216	826	24	alzabut	alzabut	PROPN
ejpam-6216	826	25	.	.	PUNCT
ejpam-6216	827	1	artificial	artificial	ADJ
ejpam-6216	827	2	intelligence	intelligence	NOUN
ejpam-6216	827	3	neural	neural	ADJ
ejpam-6216	827	4	networking	networking	NOUN
ejpam-6216	827	5	for	for	ADP
ejpam-6216	827	6	data	datum	NOUN
ejpam-6216	827	7	clustering	clustering	NOUN
ejpam-6216	827	8	of	of	ADP
ejpam-6216	827	9	carbon	carbon	NOUN
ejpam-6216	827	10	dioxide	dioxide	NOUN
ejpam-6216	827	11	model	model	NOUN
ejpam-6216	827	12	.	.	PUNCT
ejpam-6216	828	1	ain	ain	PROPN
ejpam-6216	828	2	shams	sham	NOUN
ejpam-6216	828	3	engineering	engineering	NOUN
ejpam-6216	828	4	journal	journal	NOUN
ejpam-6216	828	5	,	,	PUNCT
ejpam-6216	828	6	16(8):103460	16(8):103460	NUM
ejpam-6216	828	7	,	,	PUNCT
ejpam-6216	828	8	2025	2025	NUM
ejpam-6216	828	9	.	.	PUNCT
ejpam-6216	829	1	[	[	X
ejpam-6216	829	2	84	84	NUM
ejpam-6216	829	3	]	]	X
ejpam-6216	829	4	h.	h.	PROPN
ejpam-6216	829	5	khan	khan	PROPN
ejpam-6216	829	6	,	,	PUNCT
ejpam-6216	829	7	j.	j.	PROPN
ejpam-6216	829	8	alzabut	alzabut	PROPN
ejpam-6216	829	9	,	,	PUNCT
ejpam-6216	829	10	d.	d.	PROPN
ejpam-6216	829	11	k.	k.	PROPN
ejpam-6216	829	12	almutairi	almutairi	PROPN
ejpam-6216	829	13	,	,	PUNCT
ejpam-6216	829	14	w.	w.	PROPN
ejpam-6216	829	15	k.	k.	PROPN
ejpam-6216	829	16	alqurashi	alqurashi	PROPN
ejpam-6216	829	17	,	,	PUNCT
ejpam-6216	829	18	s.	s.	PROPN
ejpam-6216	829	19	pinelas	pinelas	PROPN
ejpam-6216	829	20	,	,	PUNCT
ejpam-6216	829	21	o.	o.	PROPN
ejpam-6216	829	22	tuna	tuna	PROPN
ejpam-6216	829	23	,	,	PUNCT
ejpam-6216	829	24	and	and	CCONJ
ejpam-6216	829	25	m.	m.	NOUN
ejpam-6216	829	26	a.	a.	PROPN
ejpam-6216	829	27	azim	azim	PROPN
ejpam-6216	829	28	.	.	PUNCT
ejpam-6216	830	1	a	a	DET
ejpam-6216	830	2	coupled	couple	VERB
ejpam-6216	830	3	nonlinear	nonlinear	ADJ
ejpam-6216	830	4	system	system	NOUN
ejpam-6216	830	5	of	of	ADP
ejpam-6216	830	6	integro	integro	ADJ
ejpam-6216	830	7	-	-	PUNCT
ejpam-6216	830	8	differential	differential	NOUN
ejpam-6216	830	9	equations	equation	NOUN
ejpam-6216	830	10	using	use	VERB
ejpam-6216	830	11	modified	modify	VERB
ejpam-6216	830	12	abc	abc	PROPN
ejpam-6216	830	13	operator	operator	NOUN
ejpam-6216	830	14	.	.	PUNCT
ejpam-6216	831	1	fractals	fractal	NOUN
ejpam-6216	831	2	,	,	PUNCT
ejpam-6216	831	3	33(6	33(6	NUM
ejpam-6216	831	4	)	)	PUNCT
ejpam-6216	831	5	,	,	PUNCT
ejpam-6216	831	6	2025	2025	NUM
ejpam-6216	831	7	.	.	PUNCT
ejpam-6216	832	1	[	[	X
ejpam-6216	832	2	85	85	NUM
ejpam-6216	832	3	]	]	PUNCT
ejpam-6216	832	4	m.	m.	NOUN
ejpam-6216	832	5	ullah	ullah	PROPN
ejpam-6216	832	6	,	,	PUNCT
ejpam-6216	832	7	m.	m.	NOUN
ejpam-6216	832	8	sarwar	sarwar	PROPN
ejpam-6216	832	9	,	,	PUNCT
ejpam-6216	832	10	h.	h.	PROPN
ejpam-6216	832	11	khan	khan	PROPN
ejpam-6216	832	12	,	,	PUNCT
ejpam-6216	832	13	t.	t.	NOUN
ejpam-6216	832	14	abdeljawad	abdeljawad	NOUN
ejpam-6216	832	15	,	,	PUNCT
ejpam-6216	832	16	and	and	CCONJ
ejpam-6216	832	17	a.	a.	PROPN
ejpam-6216	832	18	khan	khan	PROPN
ejpam-6216	832	19	.	.	PUNCT
ejpam-6216	833	1	near	near	ADP
ejpam-6216	833	2	-	-	PUNCT
ejpam-6216	833	3	coincidence	coincidence	NOUN
ejpam-6216	833	4	point	point	NOUN
ejpam-6216	833	5	results	result	NOUN
ejpam-6216	833	6	in	in	ADP
ejpam-6216	833	7	metric	metric	ADJ
ejpam-6216	833	8	interval	interval	NOUN
ejpam-6216	833	9	space	space	NOUN
ejpam-6216	833	10	and	and	CCONJ
ejpam-6216	833	11	hyperspace	hyperspace	NOUN
ejpam-6216	833	12	via	via	ADP
ejpam-6216	833	13	simulation	simulation	NOUN
ejpam-6216	833	14	functions	function	NOUN
ejpam-6216	833	15	.	.	PUNCT
ejpam-6216	834	1	advances	advance	NOUN
ejpam-6216	834	2	in	in	ADP
ejpam-6216	834	3	difference	difference	NOUN
ejpam-6216	834	4	equations	equation	NOUN
ejpam-6216	834	5	,	,	PUNCT
ejpam-6216	834	6	2020(1):291	2020(1):291	NUM
ejpam-6216	834	7	,	,	PUNCT
ejpam-6216	834	8	2020	2020	NUM
ejpam-6216	834	9	.	.	PUNCT
ejpam-6216	835	1	[	[	X
ejpam-6216	835	2	86	86	NUM
ejpam-6216	835	3	]	]	X
ejpam-6216	835	4	rajermani	rajermani	PROPN
ejpam-6216	835	5	thinakaran	thinakaran	PROPN
ejpam-6216	835	6	,	,	PUNCT
ejpam-6216	835	7	somasekar	somasekar	NOUN
ejpam-6216	835	8	jalari	jalari	PROPN
ejpam-6216	835	9	,	,	PUNCT
ejpam-6216	835	10	vikram	vikram	PROPN
ejpam-6216	835	11	neerugatti	neerugatti	PROPN
ejpam-6216	835	12	,	,	PUNCT
ejpam-6216	835	13	ravindra	ravindra	PROPN
ejpam-6216	835	14	raman	raman	NOUN
ejpam-6216	835	15	cholla	cholla	NOUN
ejpam-6216	835	16	,	,	PUNCT
ejpam-6216	835	17	and	and	CCONJ
ejpam-6216	835	18	k.	k.	PROPN
ejpam-6216	835	19	nagendra	nagendra	PROPN
ejpam-6216	835	20	rao	rao	PROPN
ejpam-6216	835	21	.	.	PUNCT
ejpam-6216	836	1	smart	smart	ADJ
ejpam-6216	836	2	energy	energy	NOUN
ejpam-6216	836	3	management	management	NOUN
ejpam-6216	836	4	system	system	NOUN
ejpam-6216	836	5	using	use	VERB
ejpam-6216	836	6	iot	iot	NOUN
ejpam-6216	836	7	for	for	ADP
ejpam-6216	836	8	realtime	realtime	NOUN
ejpam-6216	836	9	monitoring	monitoring	NOUN
ejpam-6216	836	10	and	and	CCONJ
ejpam-6216	836	11	theft	theft	NOUN
ejpam-6216	836	12	detection	detection	NOUN
ejpam-6216	836	13	.	.	PUNCT
ejpam-6216	837	1	in	in	ADP
ejpam-6216	837	2	proceedings	proceeding	NOUN
ejpam-6216	837	3	of	of	ADP
ejpam-6216	837	4	the	the	DET
ejpam-6216	837	5	2024	2024	NUM
ejpam-6216	837	6	9th	9th	ADJ
ejpam-6216	837	7	international	international	ADJ
ejpam-6216	837	8	conference	conference	NOUN
ejpam-6216	837	9	on	on	ADP
ejpam-6216	837	10	information	information	NOUN
ejpam-6216	837	11	technology	technology	NOUN
ejpam-6216	837	12	and	and	CCONJ
ejpam-6216	837	13	digital	digital	ADJ
ejpam-6216	837	14	applications	application	NOUN
ejpam-6216	837	15	(	(	PUNCT
ejpam-6216	837	16	icitda	icitda	NOUN
ejpam-6216	837	17	)	)	PUNCT
ejpam-6216	837	18	,	,	PUNCT
ejpam-6216	837	19	pages	page	NOUN
ejpam-6216	837	20	1	1	NUM
ejpam-6216	837	21	–	–	SYM
ejpam-6216	837	22	5	5	NUM
ejpam-6216	837	23	.	.	X
ejpam-6216	837	24	ieee	ieee	NOUN
ejpam-6216	837	25	,	,	PUNCT
ejpam-6216	837	26	2024	2024	NUM
ejpam-6216	837	27	.	.	PUNCT