id	sid	tid	token	lemma	pos
ejpam-6479	1	1	european	european	PROPN
ejpam-6479	1	2	journal	journal	PROPN
ejpam-6479	1	3	of	of	ADP
ejpam-6479	1	4	pure	pure	ADJ
ejpam-6479	1	5	and	and	CCONJ
ejpam-6479	1	6	applied	applied	ADJ
ejpam-6479	1	7	mathematics	mathematic	NOUN
ejpam-6479	1	8	2025	2025	NUM
ejpam-6479	1	9	,	,	PUNCT
ejpam-6479	1	10	vol	vol	NOUN
ejpam-6479	1	11	.	.	PROPN
ejpam-6479	1	12	18	18	NUM
ejpam-6479	1	13	,	,	PUNCT
ejpam-6479	1	14	issue	issue	NOUN
ejpam-6479	1	15	3	3	NUM
ejpam-6479	1	16	,	,	PUNCT
ejpam-6479	1	17	article	article	NOUN
ejpam-6479	1	18	number	number	NOUN
ejpam-6479	1	19	6479	6479	NUM
ejpam-6479	1	20	issn	issn	PROPN
ejpam-6479	1	21	1307	1307	NUM
ejpam-6479	1	22	-	-	SYM
ejpam-6479	1	23	5543	5543	NUM
ejpam-6479	1	24	–	–	PUNCT
ejpam-6479	1	25	ejpam.com	ejpam.com	X
ejpam-6479	1	26	published	publish	VERB
ejpam-6479	1	27	by	by	ADP
ejpam-6479	1	28	new	new	PROPN
ejpam-6479	1	29	york	york	PROPN
ejpam-6479	1	30	business	business	PROPN
ejpam-6479	1	31	global	global	PROPN
ejpam-6479	1	32	a	a	DET
ejpam-6479	1	33	degree	degree	NOUN
ejpam-6479	1	34	-	-	PUNCT
ejpam-6479	1	35	based	base	VERB
ejpam-6479	1	36	exponential	exponential	ADJ
ejpam-6479	1	37	fuzzy	fuzzy	ADJ
ejpam-6479	1	38	graph	graph	NOUN
ejpam-6479	1	39	for	for	ADP
ejpam-6479	1	40	pollution	pollution	NOUN
ejpam-6479	1	41	impact	impact	NOUN
ejpam-6479	1	42	analysis	analysis	NOUN
ejpam-6479	1	43	wadei	wadei	VERB
ejpam-6479	1	44	faris	faris	PROPN
ejpam-6479	1	45	al	al	PROPN
ejpam-6479	1	46	-	-	PUNCT
ejpam-6479	1	47	omeri1,∗	omeri1,∗	PROPN
ejpam-6479	1	48	,	,	PUNCT
ejpam-6479	1	49	m.kaviyarasu2,∗	m.kaviyarasu2,∗	PROPN
ejpam-6479	1	50	,	,	PUNCT
ejpam-6479	1	51	r.	r.	PROPN
ejpam-6479	1	52	venitha2	venitha2	PROPN
ejpam-6479	1	53	1	1	NUM
ejpam-6479	1	54	department	department	NOUN
ejpam-6479	1	55	of	of	ADP
ejpam-6479	1	56	mathematics	mathematic	NOUN
ejpam-6479	1	57	,	,	PUNCT
ejpam-6479	1	58	faculty	faculty	NOUN
ejpam-6479	1	59	of	of	ADP
ejpam-6479	1	60	science	science	NOUN
ejpam-6479	1	61	and	and	CCONJ
ejpam-6479	1	62	information	information	NOUN
ejpam-6479	1	63	technology	technology	NOUN
ejpam-6479	1	64	,	,	PUNCT
ejpam-6479	1	65	jadara	jadara	PROPN
ejpam-6479	1	66	university	university	PROPN
ejpam-6479	1	67	,	,	PUNCT
ejpam-6479	1	68	irbid	irbid	PROPN
ejpam-6479	1	69	,	,	PUNCT
ejpam-6479	1	70	jordan	jordan	PROPN
ejpam-6479	1	71	2	2	NUM
ejpam-6479	1	72	department	department	NOUN
ejpam-6479	1	73	of	of	ADP
ejpam-6479	1	74	mathematics	mathematic	NOUN
ejpam-6479	1	75	,	,	PUNCT
ejpam-6479	1	76	vel	vel	PROPN
ejpam-6479	1	77	tech	tech	PROPN
ejpam-6479	1	78	rangarajan	rangarajan	PROPN
ejpam-6479	1	79	dr	dr	PROPN
ejpam-6479	1	80	.	.	PROPN
ejpam-6479	1	81	sagunthala	sagunthala	PROPN
ejpam-6479	1	82	r&d	r&d	PROPN
ejpam-6479	1	83	institute	institute	PROPN
ejpam-6479	1	84	of	of	ADP
ejpam-6479	1	85	science	science	NOUN
ejpam-6479	1	86	and	and	CCONJ
ejpam-6479	1	87	technology	technology	NOUN
ejpam-6479	1	88	avadi	avadi	NOUN
ejpam-6479	1	89	,	,	PUNCT
ejpam-6479	1	90	chennai	chennai	PROPN
ejpam-6479	1	91	,	,	PUNCT
ejpam-6479	1	92	tamil	tamil	PROPN
ejpam-6479	1	93	nadu-600	nadu-600	ADP
ejpam-6479	1	94	062	062	NUM
ejpam-6479	1	95	,	,	PUNCT
ejpam-6479	1	96	india	india	PROPN
ejpam-6479	1	97	abstract	abstract	NOUN
ejpam-6479	1	98	.	.	PUNCT
ejpam-6479	2	1	exponential	exponential	ADJ
ejpam-6479	2	2	fuzzy	fuzzy	ADJ
ejpam-6479	2	3	graphs	graph	NOUN
ejpam-6479	2	4	(	(	PUNCT
ejpam-6479	2	5	efgs	efgs	PROPN
ejpam-6479	2	6	)	)	PUNCT
ejpam-6479	2	7	are	be	AUX
ejpam-6479	2	8	a	a	DET
ejpam-6479	2	9	new	new	ADJ
ejpam-6479	2	10	family	family	NOUN
ejpam-6479	2	11	of	of	ADP
ejpam-6479	2	12	fuzzy	fuzzy	ADJ
ejpam-6479	2	13	graphs	graph	NOUN
ejpam-6479	2	14	in	in	ADP
ejpam-6479	2	15	which	which	PRON
ejpam-6479	2	16	the	the	DET
ejpam-6479	2	17	vertices	vertex	NOUN
ejpam-6479	2	18	and	and	CCONJ
ejpam-6479	2	19	edges	edge	NOUN
ejpam-6479	2	20	’	'	PUNCT
ejpam-6479	2	21	membership	membership	NOUN
ejpam-6479	2	22	functions	function	NOUN
ejpam-6479	2	23	exhibit	exhibit	VERB
ejpam-6479	2	24	exponential	exponential	ADJ
ejpam-6479	2	25	decay	decay	NOUN
ejpam-6479	2	26	.	.	PUNCT
ejpam-6479	3	1	an	an	DET
ejpam-6479	3	2	efg	efg	NOUN
ejpam-6479	3	3	,	,	PUNCT
ejpam-6479	3	4	which	which	PRON
ejpam-6479	3	5	is	be	AUX
ejpam-6479	3	6	characterised	characterise	VERB
ejpam-6479	3	7	as	as	ADP
ejpam-6479	3	8	a	a	DET
ejpam-6479	3	9	pair	pair	NOUN
ejpam-6479	3	10	g	g	NOUN
ejpam-6479	3	11	=	=	SYM
ejpam-6479	3	12	(	(	PUNCT
ejpam-6479	3	13	v	v	NOUN
ejpam-6479	3	14	,	,	PUNCT
ejpam-6479	3	15	e	e	NOUN
ejpam-6479	3	16	)	)	PUNCT
ejpam-6479	3	17	,	,	PUNCT
ejpam-6479	3	18	captures	capture	VERB
ejpam-6479	3	19	the	the	DET
ejpam-6479	3	20	uncertainty	uncertainty	NOUN
ejpam-6479	3	21	and	and	CCONJ
ejpam-6479	3	22	degradation	degradation	NOUN
ejpam-6479	3	23	of	of	ADP
ejpam-6479	3	24	influence	influence	NOUN
ejpam-6479	3	25	in	in	ADP
ejpam-6479	3	26	complex	complex	ADJ
ejpam-6479	3	27	systems	system	NOUN
ejpam-6479	3	28	by	by	ADP
ejpam-6479	3	29	giving	give	VERB
ejpam-6479	3	30	each	each	DET
ejpam-6479	3	31	edge	edge	NOUN
ejpam-6479	3	32	(	(	PUNCT
ejpam-6479	3	33	r	r	NOUN
ejpam-6479	3	34	,	,	PUNCT
ejpam-6479	3	35	w	w	NOUN
ejpam-6479	3	36	)	)	PUNCT
ejpam-6479	3	37	∈	∈	PROPN
ejpam-6479	3	38	e	e	NOUN
ejpam-6479	3	39	a	a	DET
ejpam-6479	3	40	membership	membership	NOUN
ejpam-6479	3	41	value	value	NOUN
ejpam-6479	3	42	ϑe(r	ϑe(r	X
ejpam-6479	3	43	,	,	PUNCT
ejpam-6479	3	44	w	w	NOUN
ejpam-6479	3	45	)	)	PUNCT
ejpam-6479	3	46	=	=	SYM
ejpam-6479	3	47	αe(r	αe(r	X
ejpam-6479	3	48	,	,	PUNCT
ejpam-6479	3	49	w	w	NOUN
ejpam-6479	3	50	)	)	PUNCT
ejpam-6479	3	51	·	·	PUNCT
ejpam-6479	3	52	e−λαe(r	e−λαe(r	NUM
ejpam-6479	3	53	,	,	PUNCT
ejpam-6479	3	54	w	w	NOUN
ejpam-6479	3	55	)	)	PUNCT
ejpam-6479	3	56	and	and	CCONJ
ejpam-6479	3	57	each	each	DET
ejpam-6479	3	58	vertex	vertex	NOUN
ejpam-6479	3	59	v	v	ADP
ejpam-6479	3	60	∈	∈	NOUN
ejpam-6479	3	61	v	v	ADP
ejpam-6479	3	62	a	a	DET
ejpam-6479	3	63	membership	membership	NOUN
ejpam-6479	3	64	value	value	NOUN
ejpam-6479	3	65	ϑv	ϑv	ADP
ejpam-6479	3	66	(	(	PUNCT
ejpam-6479	3	67	w	w	NOUN
ejpam-6479	3	68	)	)	PUNCT
ejpam-6479	3	69	=	=	SYM
ejpam-6479	3	70	αv	αv	X
ejpam-6479	3	71	(	(	PUNCT
ejpam-6479	3	72	w	w	NOUN
ejpam-6479	3	73	)	)	PUNCT
ejpam-6479	3	74	·	·	PUNCT
ejpam-6479	3	75	e−λαv	e−λαv	NOUN
ejpam-6479	3	76	(	(	PUNCT
ejpam-6479	3	77	w	w	NOUN
ejpam-6479	3	78	)	)	PUNCT
ejpam-6479	3	79	,	,	PUNCT
ejpam-6479	3	80	where	where	SCONJ
ejpam-6479	3	81	λ	λ	X
ejpam-6479	3	82	>	>	X
ejpam-6479	3	83	0	0	NUM
ejpam-6479	3	84	is	be	AUX
ejpam-6479	3	85	a	a	DET
ejpam-6479	3	86	decay	decay	NOUN
ejpam-6479	3	87	parameter	parameter	NOUN
ejpam-6479	3	88	.	.	PUNCT
ejpam-6479	4	1	to	to	PART
ejpam-6479	4	2	maintain	maintain	VERB
ejpam-6479	4	3	consistency	consistency	NOUN
ejpam-6479	4	4	inside	inside	ADP
ejpam-6479	4	5	the	the	DET
ejpam-6479	4	6	fuzzy	fuzzy	ADJ
ejpam-6479	4	7	structure	structure	NOUN
ejpam-6479	4	8	,	,	PUNCT
ejpam-6479	4	9	the	the	DET
ejpam-6479	4	10	edge	edge	NOUN
ejpam-6479	4	11	membership	membership	NOUN
ejpam-6479	4	12	values	value	NOUN
ejpam-6479	4	13	are	be	AUX
ejpam-6479	4	14	limited	limit	VERB
ejpam-6479	4	15	by	by	ADP
ejpam-6479	4	16	ϑe(r	ϑe(r	NOUN
ejpam-6479	4	17	,	,	PUNCT
ejpam-6479	4	18	w	w	NOUN
ejpam-6479	4	19	)	)	PUNCT
ejpam-6479	4	20	≤	≤	NOUN
ejpam-6479	4	21	min{ϑv	min{ϑv	X
ejpam-6479	4	22	(	(	PUNCT
ejpam-6479	4	23	r	r	NOUN
ejpam-6479	4	24	)	)	PUNCT
ejpam-6479	4	25	,	,	PUNCT
ejpam-6479	4	26	ϑv	ϑv	ADP
ejpam-6479	4	27	(	(	PUNCT
ejpam-6479	4	28	w	w	NOUN
ejpam-6479	4	29	)	)	PUNCT
ejpam-6479	4	30	}	}	PUNCT
ejpam-6479	4	31	.	.	PUNCT
ejpam-6479	5	1	some	some	DET
ejpam-6479	5	2	fundamental	fundamental	ADJ
ejpam-6479	5	3	aspects	aspect	NOUN
ejpam-6479	5	4	such	such	ADJ
ejpam-6479	5	5	as	as	ADP
ejpam-6479	5	6	vertex	vertex	NOUN
ejpam-6479	5	7	degree	degree	NOUN
ejpam-6479	5	8	,	,	PUNCT
ejpam-6479	5	9	order	order	NOUN
ejpam-6479	5	10	and	and	CCONJ
ejpam-6479	5	11	size	size	NOUN
ejpam-6479	5	12	are	be	AUX
ejpam-6479	5	13	explored	explore	VERB
ejpam-6479	5	14	in	in	ADP
ejpam-6479	5	15	relation	relation	NOUN
ejpam-6479	5	16	to	to	ADP
ejpam-6479	5	17	the	the	DET
ejpam-6479	5	18	idea	idea	NOUN
ejpam-6479	5	19	of	of	ADP
ejpam-6479	5	20	exponential	exponential	ADJ
ejpam-6479	5	21	fuzzy	fuzzy	ADJ
ejpam-6479	5	22	graphs	graph	NOUN
ejpam-6479	5	23	(	(	PUNCT
ejpam-6479	5	24	efgs	efgs	PROPN
ejpam-6479	5	25	)	)	PUNCT
ejpam-6479	5	26	.	.	PUNCT
ejpam-6479	6	1	efgs	efgs	PROPN
ejpam-6479	6	2	are	be	AUX
ejpam-6479	6	3	characterised	characterise	VERB
ejpam-6479	6	4	as	as	ADP
ejpam-6479	6	5	complete	complete	ADJ
ejpam-6479	6	6	and	and	CCONJ
ejpam-6479	6	7	complement	complement	NOUN
ejpam-6479	6	8	.	.	PUNCT
ejpam-6479	7	1	some	some	DET
ejpam-6479	7	2	basic	basic	ADJ
ejpam-6479	7	3	operations	operation	NOUN
ejpam-6479	7	4	like	like	ADP
ejpam-6479	7	5	semi	semi	ADJ
ejpam-6479	7	6	-	-	ADJ
ejpam-6479	7	7	strong	strong	ADJ
ejpam-6479	7	8	product	product	NOUN
ejpam-6479	7	9	,	,	PUNCT
ejpam-6479	7	10	union	union	NOUN
ejpam-6479	7	11	,	,	PUNCT
ejpam-6479	7	12	join	join	NOUN
ejpam-6479	7	13	,	,	PUNCT
ejpam-6479	7	14	composition	composition	NOUN
ejpam-6479	7	15	and	and	CCONJ
ejpam-6479	7	16	cartesian	cartesian	ADJ
ejpam-6479	7	17	product	product	NOUN
ejpam-6479	7	18	are	be	AUX
ejpam-6479	7	19	defined	define	VERB
ejpam-6479	7	20	with	with	ADP
ejpam-6479	7	21	graphical	graphical	ADJ
ejpam-6479	7	22	representing	represent	VERB
ejpam-6479	7	23	examples	example	NOUN
ejpam-6479	7	24	.	.	PUNCT
ejpam-6479	8	1	the	the	DET
ejpam-6479	8	2	vertex	vertex	NOUN
ejpam-6479	8	3	degree	degree	NOUN
ejpam-6479	8	4	of	of	ADP
ejpam-6479	8	5	the	the	DET
ejpam-6479	8	6	generated	generate	VERB
ejpam-6479	8	7	vertices	vertex	NOUN
ejpam-6479	8	8	is	be	AUX
ejpam-6479	8	9	examined	examine	VERB
ejpam-6479	8	10	for	for	ADP
ejpam-6479	8	11	each	each	DET
ejpam-6479	8	12	operation	operation	NOUN
ejpam-6479	8	13	and	and	CCONJ
ejpam-6479	8	14	associated	associate	VERB
ejpam-6479	8	15	theorems	theorem	NOUN
ejpam-6479	8	16	are	be	AUX
ejpam-6479	8	17	demonstrated	demonstrate	VERB
ejpam-6479	8	18	.	.	PUNCT
ejpam-6479	9	1	the	the	DET
ejpam-6479	9	2	theoretical	theoretical	ADJ
ejpam-6479	9	3	findings	finding	NOUN
ejpam-6479	9	4	are	be	AUX
ejpam-6479	9	5	shown	show	VERB
ejpam-6479	9	6	using	use	VERB
ejpam-6479	9	7	examples	example	NOUN
ejpam-6479	9	8	.	.	PUNCT
ejpam-6479	10	1	the	the	DET
ejpam-6479	10	2	use	use	NOUN
ejpam-6479	10	3	of	of	ADP
ejpam-6479	10	4	efgs	efgs	NOUN
ejpam-6479	10	5	in	in	ADP
ejpam-6479	10	6	modelling	model	VERB
ejpam-6479	10	7	real	real	ADJ
ejpam-6479	10	8	-	-	PUNCT
ejpam-6479	10	9	life	life	NOUN
ejpam-6479	10	10	imprecise	imprecise	NOUN
ejpam-6479	10	11	and	and	CCONJ
ejpam-6479	10	12	uncertain	uncertain	ADJ
ejpam-6479	10	13	data	datum	NOUN
ejpam-6479	10	14	is	be	AUX
ejpam-6479	10	15	explained	explain	VERB
ejpam-6479	10	16	in	in	ADP
ejpam-6479	10	17	an	an	DET
ejpam-6479	10	18	application	application	NOUN
ejpam-6479	10	19	related	relate	VERB
ejpam-6479	10	20	to	to	ADP
ejpam-6479	10	21	environmental	environmental	ADJ
ejpam-6479	10	22	contamination	contamination	NOUN
ejpam-6479	10	23	.	.	PUNCT
ejpam-6479	11	1	2020	2020	NUM
ejpam-6479	11	2	mathematics	mathematic	NOUN
ejpam-6479	11	3	subject	subject	NOUN
ejpam-6479	11	4	classifications	classification	NOUN
ejpam-6479	11	5	:	:	PUNCT
ejpam-6479	11	6	03e72	03e72	NUM
ejpam-6479	11	7	,	,	PUNCT
ejpam-6479	11	8	03b52	03b52	NUM
ejpam-6479	11	9	,	,	PUNCT
ejpam-6479	11	10	28e10	28e10	NUM
ejpam-6479	11	11	key	key	ADJ
ejpam-6479	11	12	words	word	NOUN
ejpam-6479	11	13	and	and	CCONJ
ejpam-6479	11	14	phrases	phrase	NOUN
ejpam-6479	11	15	:	:	PUNCT
ejpam-6479	11	16	exponential	exponential	ADJ
ejpam-6479	11	17	fuzzy	fuzzy	ADJ
ejpam-6479	11	18	graphs	graph	NOUN
ejpam-6479	11	19	,	,	PUNCT
ejpam-6479	11	20	degree	degree	NOUN
ejpam-6479	11	21	of	of	ADP
ejpam-6479	11	22	vertices	vertex	NOUN
ejpam-6479	11	23	,	,	PUNCT
ejpam-6479	11	24	type	type	NOUN
ejpam-6479	11	25	of	of	ADP
ejpam-6479	11	26	product	product	NOUN
ejpam-6479	11	27	,	,	PUNCT
ejpam-6479	11	28	operations	operation	NOUN
ejpam-6479	11	29	,	,	PUNCT
ejpam-6479	11	30	decision	decision	NOUN
ejpam-6479	11	31	making	make	VERB
ejpam-6479	11	32	1	1	NUM
ejpam-6479	11	33	.	.	PUNCT
ejpam-6479	12	1	introduction	introduction	NOUN
ejpam-6479	12	2	zadeh	zadeh	NOUN
ejpam-6479	12	3	[	[	X
ejpam-6479	12	4	1	1	X
ejpam-6479	12	5	]	]	PUNCT
ejpam-6479	12	6	defined	define	VERB
ejpam-6479	12	7	a	a	DET
ejpam-6479	12	8	fuzzy	fuzzy	ADJ
ejpam-6479	12	9	set	set	NOUN
ejpam-6479	12	10	as	as	ADP
ejpam-6479	12	11	a	a	DET
ejpam-6479	12	12	class	class	NOUN
ejpam-6479	12	13	of	of	ADP
ejpam-6479	12	14	objects	object	NOUN
ejpam-6479	12	15	having	have	VERB
ejpam-6479	12	16	a	a	DET
ejpam-6479	12	17	range	range	NOUN
ejpam-6479	12	18	of	of	ADP
ejpam-6479	12	19	membership	membership	NOUN
ejpam-6479	12	20	grades	grade	NOUN
ejpam-6479	12	21	in	in	ADP
ejpam-6479	12	22	1965	1965	NUM
ejpam-6479	12	23	.	.	PUNCT
ejpam-6479	13	1	the	the	DET
ejpam-6479	13	2	function	function	NOUN
ejpam-6479	13	3	of	of	ADP
ejpam-6479	13	4	membership	membership	NOUN
ejpam-6479	13	5	that	that	PRON
ejpam-6479	13	6	produces	produce	VERB
ejpam-6479	13	7	an	an	DET
ejpam-6479	13	8	element	element	NOUN
ejpam-6479	13	9	of	of	ADP
ejpam-6479	13	10	membership	membership	NOUN
ejpam-6479	13	11	grade	grade	NOUN
ejpam-6479	13	12	from	from	ADP
ejpam-6479	13	13	0	0	NUM
ejpam-6479	13	14	to	to	PART
ejpam-6479	13	15	1	1	NUM
ejpam-6479	13	16	provides	provide	VERB
ejpam-6479	13	17	such	such	DET
ejpam-6479	13	18	a	a	DET
ejpam-6479	13	19	collection	collection	NOUN
ejpam-6479	13	20	.	.	PUNCT
ejpam-6479	14	1	in	in	ADP
ejpam-6479	14	2	certain	certain	ADJ
ejpam-6479	14	3	fundamental	fundamental	ADJ
ejpam-6479	14	4	operations	operation	NOUN
ejpam-6479	14	5	,	,	PUNCT
ejpam-6479	14	6	fuzzy	fuzzy	ADJ
ejpam-6479	14	7	sets	set	NOUN
ejpam-6479	14	8	are	be	AUX
ejpam-6479	14	9	created	create	VERB
ejpam-6479	14	10	.	.	PUNCT
ejpam-6479	15	1	∗corresponding	∗corresponde	VERB
ejpam-6479	15	2	author	author	NOUN
ejpam-6479	15	3	.	.	PUNCT
ejpam-6479	16	1	∗corresponding	∗corresponde	VERB
ejpam-6479	16	2	author	author	NOUN
ejpam-6479	16	3	.	.	PUNCT
ejpam-6479	17	1	doi	doi	NOUN
ejpam-6479	17	2	:	:	PUNCT
ejpam-6479	17	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6479	https://doi.org/10.29020/nybg.ejpam.v18i3.6479	PROPN
ejpam-6479	17	4	email	email	NOUN
ejpam-6479	17	5	addresses	address	NOUN
ejpam-6479	17	6	:	:	PUNCT
ejpam-6479	17	7	wadeimoon1@hotmail.com	wadeimoon1@hotmail.com	X
ejpam-6479	17	8	(	(	PUNCT
ejpam-6479	17	9	w.	w.	PROPN
ejpam-6479	17	10	al	al	PROPN
ejpam-6479	17	11	-	-	PUNCT
ejpam-6479	17	12	omeri	omeri	NOUN
ejpam-6479	17	13	)	)	PUNCT
ejpam-6479	17	14	,	,	PUNCT
ejpam-6479	17	15	drkaviyarasum@veltech.edu.in	drkaviyarasum@veltech.edu.in	NOUN
ejpam-6479	17	16	(	(	PUNCT
ejpam-6479	17	17	k.	k.	NOUN
ejpam-6479	17	18	m.	m.	PROPN
ejpam-6479	17	19	)	)	PUNCT
ejpam-6479	17	20	,	,	PUNCT
ejpam-6479	17	21	vtd1606@veltech.edu.in	vtd1606@veltech.edu.in	PROPN
ejpam-6479	17	22	(	(	PUNCT
ejpam-6479	17	23	r.	r.	PROPN
ejpam-6479	17	24	venitha	venitha	PROPN
ejpam-6479	17	25	)	)	PUNCT
ejpam-6479	17	26	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6479	18	1	1	1	NUM
ejpam-6479	18	2	copyright	copyright	NOUN
ejpam-6479	18	3	:	:	PUNCT
ejpam-6479	18	4	©	©	PROPN
ejpam-6479	18	5	2025	2025	NUM
ejpam-6479	18	6	the	the	DET
ejpam-6479	18	7	author(s	author(s	NOUN
ejpam-6479	18	8	)	)	PUNCT
ejpam-6479	18	9	.	.	PUNCT
ejpam-6479	19	1	(	(	PUNCT
ejpam-6479	19	2	cc	cc	NOUN
ejpam-6479	19	3	by	by	ADP
ejpam-6479	19	4	-	-	PUNCT
ejpam-6479	19	5	nc	nc	PROPN
ejpam-6479	19	6	4.0	4.0	NUM
ejpam-6479	19	7	)	)	PUNCT
ejpam-6479	19	8	w.	w.	PROPN
ejpam-6479	19	9	f.	f.	PROPN
ejpam-6479	19	10	al	al	PROPN
ejpam-6479	19	11	-	-	PUNCT
ejpam-6479	19	12	omeri	omeri	PROPN
ejpam-6479	19	13	et	et	PROPN
ejpam-6479	19	14	al	al	PROPN
ejpam-6479	19	15	.	.	PUNCT
ejpam-6479	19	16	/	/	SYM
ejpam-6479	19	17	eur	eur	PROPN
ejpam-6479	19	18	.	.	PUNCT
ejpam-6479	20	1	j.	j.	PROPN
ejpam-6479	20	2	pure	pure	PROPN
ejpam-6479	20	3	appl	appl	PROPN
ejpam-6479	20	4	.	.	PROPN
ejpam-6479	20	5	math	math	PROPN
ejpam-6479	20	6	,	,	PUNCT
ejpam-6479	20	7	18	18	NUM
ejpam-6479	20	8	(	(	PUNCT
ejpam-6479	20	9	3	3	NUM
ejpam-6479	20	10	)	)	PUNCT
ejpam-6479	20	11	(	(	PUNCT
ejpam-6479	20	12	2025	2025	NUM
ejpam-6479	20	13	)	)	PUNCT
ejpam-6479	20	14	,	,	PUNCT
ejpam-6479	20	15	6479	6479	NUM
ejpam-6479	20	16	2	2	NUM
ejpam-6479	20	17	of	of	ADP
ejpam-6479	20	18	28	28	NUM
ejpam-6479	20	19	specifically	specifically	ADV
ejpam-6479	21	1	,	,	PUNCT
ejpam-6479	21	2	it	it	PRON
ejpam-6479	21	3	is	be	AUX
ejpam-6479	21	4	possible	possible	ADJ
ejpam-6479	21	5	to	to	PART
ejpam-6479	21	6	establish	establish	VERB
ejpam-6479	21	7	a	a	DET
ejpam-6479	21	8	separation	separation	NOUN
ejpam-6479	21	9	theorem	theorem	VERB
ejpam-6479	21	10	for	for	ADP
ejpam-6479	21	11	convex	convex	ADJ
ejpam-6479	21	12	fuzzy	fuzzy	ADJ
ejpam-6479	21	13	sets	set	NOUN
ejpam-6479	21	14	without	without	ADP
ejpam-6479	21	15	the	the	DET
ejpam-6479	21	16	fuzzy	fuzzy	ADJ
ejpam-6479	21	17	sets	set	NOUN
ejpam-6479	21	18	having	have	VERB
ejpam-6479	21	19	to	to	PART
ejpam-6479	21	20	be	be	AUX
ejpam-6479	21	21	disjoint	disjoint	ADJ
ejpam-6479	21	22	.	.	PUNCT
ejpam-6479	22	1	fuzzy	fuzzy	ADJ
ejpam-6479	22	2	graphs	graph	NOUN
ejpam-6479	22	3	,	,	PUNCT
ejpam-6479	22	4	introduced	introduce	VERB
ejpam-6479	22	5	by	by	ADP
ejpam-6479	22	6	rosenfeld	rosenfeld	PROPN
ejpam-6479	22	7	(	(	PUNCT
ejpam-6479	22	8	1975	1975	NUM
ejpam-6479	22	9	)	)	PUNCT
ejpam-6479	22	10	,	,	PUNCT
ejpam-6479	22	11	expand	expand	VERB
ejpam-6479	22	12	on	on	ADP
ejpam-6479	22	13	traditional	traditional	ADJ
ejpam-6479	22	14	graph	graph	NOUN
ejpam-6479	22	15	theory	theory	NOUN
ejpam-6479	22	16	by	by	ADP
ejpam-6479	22	17	adding	add	VERB
ejpam-6479	22	18	the	the	DET
ejpam-6479	22	19	concept	concept	NOUN
ejpam-6479	22	20	of	of	ADP
ejpam-6479	22	21	fuzziness	fuzziness	NOUN
ejpam-6479	22	22	into	into	ADP
ejpam-6479	22	23	vertices	vertex	NOUN
ejpam-6479	22	24	and	and	CCONJ
ejpam-6479	22	25	edges	edge	NOUN
ejpam-6479	22	26	to	to	PART
ejpam-6479	22	27	model	model	VERB
ejpam-6479	22	28	uncertainty	uncertainty	NOUN
ejpam-6479	22	29	and	and	CCONJ
ejpam-6479	22	30	vagueness	vagueness	NOUN
ejpam-6479	22	31	in	in	ADP
ejpam-6479	22	32	relationships	relationship	NOUN
ejpam-6479	22	33	between	between	ADP
ejpam-6479	22	34	objects	object	NOUN
ejpam-6479	22	35	[	[	X
ejpam-6479	22	36	2	2	NUM
ejpam-6479	22	37	]	]	PUNCT
ejpam-6479	22	38	.	.	PUNCT
ejpam-6479	23	1	every	every	DET
ejpam-6479	23	2	vertex	vertex	NOUN
ejpam-6479	23	3	as	as	ADV
ejpam-6479	23	4	well	well	ADV
ejpam-6479	23	5	as	as	ADP
ejpam-6479	23	6	edge	edge	NOUN
ejpam-6479	23	7	in	in	ADP
ejpam-6479	23	8	a	a	DET
ejpam-6479	23	9	fuzzy	fuzzy	ADJ
ejpam-6479	23	10	network	network	NOUN
ejpam-6479	23	11	has	have	VERB
ejpam-6479	23	12	a	a	DET
ejpam-6479	23	13	membership	membership	NOUN
ejpam-6479	23	14	level	level	NOUN
ejpam-6479	23	15	in	in	ADP
ejpam-6479	23	16	the	the	DET
ejpam-6479	23	17	interval	interval	NOUN
ejpam-6479	23	18	[	[	X
ejpam-6479	23	19	0	0	NUM
ejpam-6479	23	20	,	,	PUNCT
ejpam-6479	23	21	1	1	NUM
ejpam-6479	23	22	]	]	PUNCT
ejpam-6479	23	23	,	,	PUNCT
ejpam-6479	23	24	which	which	PRON
ejpam-6479	23	25	indicates	indicate	VERB
ejpam-6479	23	26	the	the	DET
ejpam-6479	23	27	level	level	NOUN
ejpam-6479	23	28	of	of	ADP
ejpam-6479	23	29	connectedness	connectedness	NOUN
ejpam-6479	23	30	or	or	CCONJ
ejpam-6479	23	31	existence	existence	NOUN
ejpam-6479	23	32	,	,	PUNCT
ejpam-6479	23	33	respectively	respectively	ADV
ejpam-6479	23	34	.	.	PUNCT
ejpam-6479	24	1	numerous	numerous	ADJ
ejpam-6479	24	2	fuzzy	fuzzy	ADJ
ejpam-6479	24	3	graph	graph	NOUN
ejpam-6479	24	4	topics	topic	NOUN
ejpam-6479	24	5	have	have	AUX
ejpam-6479	24	6	been	be	AUX
ejpam-6479	24	7	examined	examine	VERB
ejpam-6479	24	8	in	in	ADP
ejpam-6479	24	9	[	[	X
ejpam-6479	24	10	3	3	NUM
ejpam-6479	24	11	]	]	PUNCT
ejpam-6479	24	12	.	.	PUNCT
ejpam-6479	25	1	mordeson	mordeson	NOUN
ejpam-6479	25	2	and	and	CCONJ
ejpam-6479	25	3	peng	peng	PROPN
ejpam-6479	25	4	,	,	PUNCT
ejpam-6479	25	5	fuzzy	fuzzy	ADJ
ejpam-6479	25	6	graph	graph	NOUN
ejpam-6479	25	7	theory	theory	NOUN
ejpam-6479	25	8	has	have	AUX
ejpam-6479	25	9	emerged	emerge	VERB
ejpam-6479	25	10	as	as	ADP
ejpam-6479	25	11	a	a	DET
ejpam-6479	25	12	powerful	powerful	ADJ
ejpam-6479	25	13	tool	tool	NOUN
ejpam-6479	25	14	for	for	ADP
ejpam-6479	25	15	representing	represent	VERB
ejpam-6479	25	16	imprecise	imprecise	ADJ
ejpam-6479	25	17	information	information	NOUN
ejpam-6479	25	18	in	in	ADP
ejpam-6479	25	19	areas	area	NOUN
ejpam-6479	25	20	include	include	VERB
ejpam-6479	25	21	network	network	NOUN
ejpam-6479	25	22	assessment	assessment	NOUN
ejpam-6479	25	23	,	,	PUNCT
ejpam-6479	25	24	image	image	NOUN
ejpam-6479	25	25	processing	processing	NOUN
ejpam-6479	25	26	,	,	PUNCT
ejpam-6479	25	27	the	the	DET
ejpam-6479	25	28	process	process	NOUN
ejpam-6479	25	29	of	of	ADP
ejpam-6479	25	30	decision	decision	NOUN
ejpam-6479	25	31	-	-	PUNCT
ejpam-6479	25	32	making	make	VERB
ejpam-6479	25	33	and	and	CCONJ
ejpam-6479	25	34	networking	network	VERB
ejpam-6479	25	35	sites	site	NOUN
ejpam-6479	25	36	[	[	X
ejpam-6479	25	37	4	4	NUM
ejpam-6479	25	38	]	]	PUNCT
ejpam-6479	25	39	.	.	PUNCT
ejpam-6479	26	1	in	in	ADP
ejpam-6479	26	2	[	[	X
ejpam-6479	26	3	5	5	NUM
ejpam-6479	26	4	]	]	X
ejpam-6479	26	5	allister	allister	NOUN
ejpam-6479	26	6	demonstrates	demonstrate	VERB
ejpam-6479	26	7	how	how	SCONJ
ejpam-6479	26	8	effective	effective	ADJ
ejpam-6479	26	9	numerical	numerical	ADJ
ejpam-6479	26	10	methods	method	NOUN
ejpam-6479	26	11	for	for	ADP
ejpam-6479	26	12	fixing	fix	VERB
ejpam-6479	26	13	a	a	DET
ejpam-6479	26	14	network	network	NOUN
ejpam-6479	26	15	’s	’s	PART
ejpam-6479	26	16	failing	fail	VERB
ejpam-6479	26	17	node	node	NOUN
ejpam-6479	26	18	or	or	CCONJ
ejpam-6479	26	19	link	link	NOUN
ejpam-6479	26	20	are	be	AUX
ejpam-6479	26	21	provided	provide	VERB
ejpam-6479	26	22	by	by	ADP
ejpam-6479	26	23	a	a	DET
ejpam-6479	26	24	novel	novel	ADJ
ejpam-6479	26	25	definition	definition	NOUN
ejpam-6479	26	26	.	.	PUNCT
ejpam-6479	27	1	akram	akram	PROPN
ejpam-6479	27	2	presented	present	VERB
ejpam-6479	27	3	the	the	DET
ejpam-6479	27	4	idea	idea	NOUN
ejpam-6479	27	5	of	of	ADP
ejpam-6479	27	6	strong	strong	ADJ
ejpam-6479	27	7	bipolar	bipolar	ADJ
ejpam-6479	27	8	fuzzy	fuzzy	ADJ
ejpam-6479	27	9	graphs	graph	NOUN
ejpam-6479	27	10	and	and	CCONJ
ejpam-6479	27	11	looked	look	VERB
ejpam-6479	27	12	at	at	ADP
ejpam-6479	27	13	a	a	DET
ejpam-6479	27	14	number	number	NOUN
ejpam-6479	27	15	of	of	ADP
ejpam-6479	27	16	their	their	PRON
ejpam-6479	27	17	basic	basic	ADJ
ejpam-6479	27	18	characteristics	characteristic	NOUN
ejpam-6479	27	19	in	in	ADP
ejpam-6479	27	20	[	[	X
ejpam-6479	27	21	6	6	NUM
ejpam-6479	27	22	]	]	PUNCT
ejpam-6479	27	23	and	and	CCONJ
ejpam-6479	27	24	additionally	additionally	ADV
ejpam-6479	27	25	investigates	investigate	VERB
ejpam-6479	27	26	a	a	DET
ejpam-6479	27	27	number	number	NOUN
ejpam-6479	27	28	of	of	ADP
ejpam-6479	27	29	statements	statement	NOUN
ejpam-6479	27	30	regarding	regard	VERB
ejpam-6479	27	31	these	these	DET
ejpam-6479	27	32	graphs	graph	NOUN
ejpam-6479	27	33	self	self	NOUN
ejpam-6479	27	34	-	-	PUNCT
ejpam-6479	27	35	weak	weak	ADJ
ejpam-6479	27	36	-	-	PUNCT
ejpam-6479	27	37	complementary	complementary	ADJ
ejpam-6479	27	38	forms	form	NOUN
ejpam-6479	27	39	.	.	PUNCT
ejpam-6479	28	1	recent	recent	ADJ
ejpam-6479	28	2	research	research	NOUN
ejpam-6479	28	3	has	have	AUX
ejpam-6479	28	4	explored	explore	VERB
ejpam-6479	28	5	operations	operation	NOUN
ejpam-6479	28	6	,	,	PUNCT
ejpam-6479	28	7	connectivity	connectivity	NOUN
ejpam-6479	28	8	and	and	CCONJ
ejpam-6479	28	9	fuzzy	fuzzy	ADJ
ejpam-6479	28	10	subgraph	subgraph	NOUN
ejpam-6479	28	11	properties	property	NOUN
ejpam-6479	28	12	,	,	PUNCT
ejpam-6479	28	13	leading	lead	VERB
ejpam-6479	28	14	to	to	ADP
ejpam-6479	28	15	the	the	DET
ejpam-6479	28	16	development	development	NOUN
ejpam-6479	28	17	of	of	ADP
ejpam-6479	28	18	specialized	specialized	ADJ
ejpam-6479	28	19	structures	structure	NOUN
ejpam-6479	28	20	of	of	ADP
ejpam-6479	28	21	fuzzy	fuzzy	ADJ
ejpam-6479	28	22	graphs	graph	NOUN
ejpam-6479	28	23	such	such	ADJ
ejpam-6479	28	24	as	as	ADP
ejpam-6479	28	25	interval	interval	NOUN
ejpam-6479	28	26	-	-	PUNCT
ejpam-6479	28	27	valued	value	VERB
ejpam-6479	28	28	,	,	PUNCT
ejpam-6479	28	29	bipolar	bipolar	ADJ
ejpam-6479	28	30	and	and	CCONJ
ejpam-6479	28	31	exponential	exponential	ADJ
ejpam-6479	28	32	[	[	X
ejpam-6479	28	33	7	7	NUM
ejpam-6479	28	34	]	]	X
ejpam-6479	28	35	[	[	X
ejpam-6479	28	36	8	8	NUM
ejpam-6479	28	37	]	]	PUNCT
ejpam-6479	28	38	.	.	PUNCT
ejpam-6479	29	1	these	these	DET
ejpam-6479	29	2	advancements	advancement	NOUN
ejpam-6479	29	3	enhance	enhance	VERB
ejpam-6479	29	4	the	the	DET
ejpam-6479	29	5	capability	capability	NOUN
ejpam-6479	29	6	of	of	ADP
ejpam-6479	29	7	fuzzy	fuzzy	ADJ
ejpam-6479	29	8	graphs	graph	NOUN
ejpam-6479	29	9	to	to	PART
ejpam-6479	29	10	handle	handle	VERB
ejpam-6479	29	11	diverse	diverse	ADJ
ejpam-6479	29	12	and	and	CCONJ
ejpam-6479	29	13	complex	complex	ADJ
ejpam-6479	29	14	real	real	ADJ
ejpam-6479	29	15	-	-	PUNCT
ejpam-6479	29	16	world	world	NOUN
ejpam-6479	29	17	applications	application	NOUN
ejpam-6479	29	18	.	.	PUNCT
ejpam-6479	30	1	the	the	DET
ejpam-6479	30	2	fuzzification	fuzzification	NOUN
ejpam-6479	30	3	of	of	ADP
ejpam-6479	30	4	graph	graph	NOUN
ejpam-6479	30	5	structures	structure	NOUN
ejpam-6479	30	6	allows	allow	VERB
ejpam-6479	30	7	for	for	ADP
ejpam-6479	30	8	more	more	ADV
ejpam-6479	30	9	realistic	realistic	ADJ
ejpam-6479	30	10	modeling	modeling	NOUN
ejpam-6479	30	11	of	of	ADP
ejpam-6479	30	12	systems	system	NOUN
ejpam-6479	30	13	where	where	SCONJ
ejpam-6479	30	14	binary	binary	ADJ
ejpam-6479	30	15	connections	connection	NOUN
ejpam-6479	30	16	are	be	AUX
ejpam-6479	30	17	inadequate	inadequate	ADJ
ejpam-6479	30	18	.	.	PUNCT
ejpam-6479	31	1	jun	jun	PROPN
ejpam-6479	31	2	and	and	CCONJ
ejpam-6479	31	3	colleagues	colleague	NOUN
ejpam-6479	31	4	(	(	PUNCT
ejpam-6479	31	5	2014	2014	NUM
ejpam-6479	31	6	)	)	PUNCT
ejpam-6479	31	7	further	far	ADV
ejpam-6479	31	8	generalized	generalize	VERB
ejpam-6479	31	9	fuzzy	fuzzy	ADJ
ejpam-6479	31	10	graphs	graph	NOUN
ejpam-6479	31	11	to	to	ADP
ejpam-6479	31	12	intuitionistic	intuitionistic	ADJ
ejpam-6479	31	13	and	and	CCONJ
ejpam-6479	31	14	interval	interval	NOUN
ejpam-6479	31	15	-	-	PUNCT
ejpam-6479	31	16	valued	value	VERB
ejpam-6479	31	17	fuzzy	fuzzy	ADJ
ejpam-6479	31	18	environments	environment	NOUN
ejpam-6479	31	19	,	,	PUNCT
ejpam-6479	31	20	capturing	capture	VERB
ejpam-6479	31	21	additional	additional	ADJ
ejpam-6479	31	22	uncertainty	uncertainty	NOUN
ejpam-6479	31	23	dimensions	dimension	NOUN
ejpam-6479	31	24	[	[	X
ejpam-6479	31	25	9	9	NUM
ejpam-6479	31	26	]	]	PUNCT
ejpam-6479	31	27	.	.	PUNCT
ejpam-6479	32	1	in	in	ADP
ejpam-6479	32	2	[	[	X
ejpam-6479	32	3	10	10	NUM
ejpam-6479	32	4	]	]	PUNCT
ejpam-6479	32	5	,	,	PUNCT
ejpam-6479	32	6	thakur	thakur	PROPN
ejpam-6479	32	7	,	,	PUNCT
ejpam-6479	32	8	priya	priya	PROPN
ejpam-6479	32	9	and	and	CCONJ
ejpam-6479	32	10	pawan	pawan	PROPN
ejpam-6479	32	11	kumar	kumar	PROPN
ejpam-6479	32	12	presented	present	VERB
ejpam-6479	32	13	a	a	DET
ejpam-6479	32	14	method	method	NOUN
ejpam-6479	32	15	that	that	PRON
ejpam-6479	32	16	enhances	enhance	VERB
ejpam-6479	32	17	optimal	optimal	ADJ
ejpam-6479	32	18	balanced	balanced	ADJ
ejpam-6479	32	19	histogram	histogram	NOUN
ejpam-6479	32	20	thresholding	thresholde	VERB
ejpam-6479	32	21	for	for	ADP
ejpam-6479	32	22	converting	convert	VERB
ejpam-6479	32	23	grayscale	grayscale	NOUN
ejpam-6479	32	24	images	image	NOUN
ejpam-6479	32	25	to	to	ADP
ejpam-6479	32	26	binary	binary	NOUN
ejpam-6479	32	27	.	.	PUNCT
ejpam-6479	33	1	their	their	PRON
ejpam-6479	33	2	approach	approach	NOUN
ejpam-6479	33	3	further	far	ADV
ejpam-6479	33	4	incorporates	incorporate	VERB
ejpam-6479	33	5	graphical	graphical	ADJ
ejpam-6479	33	6	abstraction	abstraction	NOUN
ejpam-6479	33	7	through	through	ADP
ejpam-6479	33	8	fuzzy	fuzzy	ADJ
ejpam-6479	33	9	graph	graph	NOUN
ejpam-6479	33	10	theory	theory	NOUN
ejpam-6479	33	11	and	and	CCONJ
ejpam-6479	33	12	applies	apply	VERB
ejpam-6479	33	13	widgerson	widgerson	NOUN
ejpam-6479	33	14	’s	’s	PART
ejpam-6479	33	15	color	color	NOUN
ejpam-6479	33	16	rendering	rendering	NOUN
ejpam-6479	33	17	algorithm	algorithm	NOUN
ejpam-6479	33	18	for	for	ADP
ejpam-6479	33	19	image	image	NOUN
ejpam-6479	33	20	depiction	depiction	NOUN
ejpam-6479	33	21	.	.	PUNCT
ejpam-6479	34	1	the	the	DET
ejpam-6479	34	2	ideas	idea	NOUN
ejpam-6479	34	3	of	of	ADP
ejpam-6479	34	4	efficient	efficient	ADJ
ejpam-6479	34	5	fuzzy	fuzzy	ADJ
ejpam-6479	34	6	graphs	graph	NOUN
ejpam-6479	34	7	and	and	CCONJ
ejpam-6479	34	8	dominance	dominance	NOUN
ejpam-6479	34	9	integrity	integrity	NOUN
ejpam-6479	34	10	in	in	ADP
ejpam-6479	34	11	fuzzy	fuzzy	ADJ
ejpam-6479	34	12	graphs	graph	NOUN
ejpam-6479	34	13	are	be	AUX
ejpam-6479	34	14	presented	present	VERB
ejpam-6479	34	15	and	and	CCONJ
ejpam-6479	34	16	shown	show	VERB
ejpam-6479	34	17	using	use	VERB
ejpam-6479	34	18	instances	instance	NOUN
ejpam-6479	34	19	in	in	ADP
ejpam-6479	34	20	2020	2020	NUM
ejpam-6479	35	1	[	[	X
ejpam-6479	35	2	11	11	NUM
ejpam-6479	35	3	]	]	PUNCT
ejpam-6479	35	4	.	.	PUNCT
ejpam-6479	36	1	muhiuddin	muhiuddin	AUX
ejpam-6479	36	2	et	et	PROPN
ejpam-6479	36	3	al	al	PROPN
ejpam-6479	36	4	.	.	PROPN
ejpam-6479	36	5	presented	present	VERB
ejpam-6479	36	6	the	the	DET
ejpam-6479	36	7	original	original	ADJ
ejpam-6479	36	8	idea	idea	NOUN
ejpam-6479	36	9	of	of	ADP
ejpam-6479	36	10	node	node	ADJ
ejpam-6479	36	11	integrity	integrity	NOUN
ejpam-6479	36	12	in	in	ADP
ejpam-6479	36	13	multi	multi	ADJ
ejpam-6479	36	14	-	-	ADJ
ejpam-6479	36	15	parameter	parameter	ADJ
ejpam-6479	36	16	fuzzy	fuzzy	ADJ
ejpam-6479	36	17	graphs	graph	NOUN
ejpam-6479	36	18	in	in	ADP
ejpam-6479	36	19	2023	2023	NUM
ejpam-6479	36	20	[	[	X
ejpam-6479	36	21	12	12	NUM
ejpam-6479	36	22	]	]	PUNCT
ejpam-6479	36	23	and	and	CCONJ
ejpam-6479	36	24	thoroughly	thoroughly	ADV
ejpam-6479	36	25	investigated	investigate	VERB
ejpam-6479	36	26	a	a	DET
ejpam-6479	36	27	number	number	NOUN
ejpam-6479	36	28	of	of	ADP
ejpam-6479	36	29	its	its	PRON
ejpam-6479	36	30	associated	associated	ADJ
ejpam-6479	36	31	features	feature	NOUN
ejpam-6479	36	32	.	.	PUNCT
ejpam-6479	37	1	along	along	ADP
ejpam-6479	37	2	with	with	ADP
ejpam-6479	37	3	a	a	DET
ejpam-6479	37	4	number	number	NOUN
ejpam-6479	37	5	of	of	ADP
ejpam-6479	37	6	significant	significant	ADJ
ejpam-6479	37	7	findings	finding	NOUN
ejpam-6479	37	8	,	,	PUNCT
ejpam-6479	37	9	the	the	DET
ejpam-6479	37	10	paper	paper	NOUN
ejpam-6479	37	11	also	also	ADV
ejpam-6479	37	12	offers	offer	VERB
ejpam-6479	37	13	a	a	DET
ejpam-6479	37	14	thorough	thorough	ADJ
ejpam-6479	37	15	analysis	analysis	NOUN
ejpam-6479	37	16	of	of	ADP
ejpam-6479	37	17	the	the	DET
ejpam-6479	37	18	many	many	ADJ
ejpam-6479	37	19	kinds	kind	NOUN
ejpam-6479	37	20	of	of	ADP
ejpam-6479	37	21	integrity	integrity	NOUN
ejpam-6479	37	22	in	in	ADP
ejpam-6479	37	23	mpfg	mpfg	NOUN
ejpam-6479	37	24	,	,	PUNCT
ejpam-6479	37	25	such	such	ADJ
ejpam-6479	37	26	as	as	ADP
ejpam-6479	37	27	edge	edge	NOUN
ejpam-6479	37	28	,	,	PUNCT
ejpam-6479	37	29	dominating	dominating	NOUN
ejpam-6479	37	30	and	and	CCONJ
ejpam-6479	37	31	node	node	ADJ
ejpam-6479	37	32	integrity	integrity	NOUN
ejpam-6479	37	33	.	.	PUNCT
ejpam-6479	38	1	ji	ji	PROPN
ejpam-6479	38	2	et	et	PROPN
ejpam-6479	38	3	al	al	PROPN
ejpam-6479	38	4	.	.	PUNCT
ejpam-6479	39	1	[	[	X
ejpam-6479	39	2	13	13	NUM
ejpam-6479	39	3	]	]	PUNCT
ejpam-6479	39	4	presented	present	VERB
ejpam-6479	39	5	a	a	DET
ejpam-6479	39	6	thorough	thorough	ADJ
ejpam-6479	39	7	classification	classification	NOUN
ejpam-6479	39	8	and	and	CCONJ
ejpam-6479	39	9	new	new	ADJ
ejpam-6479	39	10	taxonomies	taxonomy	NOUN
ejpam-6479	39	11	of	of	ADP
ejpam-6479	39	12	knowledge	knowledge	NOUN
ejpam-6479	39	13	graph	graph	NOUN
ejpam-6479	39	14	embedding	embed	VERB
ejpam-6479	39	15	in	in	ADP
ejpam-6479	39	16	2022	2022	NUM
ejpam-6479	39	17	.	.	PUNCT
ejpam-6479	40	1	these	these	PRON
ejpam-6479	40	2	were	be	AUX
ejpam-6479	40	3	arranged	arrange	VERB
ejpam-6479	40	4	according	accord	VERB
ejpam-6479	40	5	to	to	ADP
ejpam-6479	40	6	four	four	NUM
ejpam-6479	40	7	main	main	ADJ
ejpam-6479	40	8	components	component	NOUN
ejpam-6479	40	9	:	:	PUNCT
ejpam-6479	40	10	auxiliary	auxiliary	ADJ
ejpam-6479	40	11	data	data	PROPN
ejpam-6479	40	12	,	,	PUNCT
ejpam-6479	40	13	encoding	encode	VERB
ejpam-6479	40	14	designs	design	NOUN
ejpam-6479	40	15	,	,	PUNCT
ejpam-6479	40	16	grading	grade	VERB
ejpam-6479	40	17	operations	operation	NOUN
ejpam-6479	40	18	and	and	CCONJ
ejpam-6479	40	19	illustration	illustration	NOUN
ejpam-6479	40	20	environment	environment	NOUN
ejpam-6479	40	21	.	.	PUNCT
ejpam-6479	41	1	a	a	DET
ejpam-6479	41	2	novel	novel	ADJ
ejpam-6479	41	3	structure	structure	NOUN
ejpam-6479	41	4	to	to	PART
ejpam-6479	41	5	support	support	VERB
ejpam-6479	41	6	a	a	DET
ejpam-6479	41	7	rule	rule	NOUN
ejpam-6479	41	8	-	-	PUNCT
ejpam-6479	41	9	based	base	VERB
ejpam-6479	41	10	sampling	sampling	NOUN
ejpam-6479	41	11	technique	technique	NOUN
ejpam-6479	41	12	applied	apply	VERB
ejpam-6479	41	13	to	to	ADP
ejpam-6479	41	14	fuzzy	fuzzy	ADJ
ejpam-6479	41	15	knowledge	knowledge	NOUN
ejpam-6479	41	16	graphs	graph	NOUN
ejpam-6479	41	17	was	be	AUX
ejpam-6479	41	18	presented	present	VERB
ejpam-6479	41	19	by	by	ADP
ejpam-6479	41	20	tan	tan	PROPN
ejpam-6479	41	21	et	et	PROPN
ejpam-6479	41	22	al	al	PROPN
ejpam-6479	41	23	.	.	PUNCT
ejpam-6479	42	1	[	[	X
ejpam-6479	42	2	14	14	NUM
ejpam-6479	42	3	]	]	PUNCT
ejpam-6479	42	4	in	in	ADP
ejpam-6479	42	5	2025	2025	NUM
ejpam-6479	42	6	.	.	PUNCT
ejpam-6479	43	1	ramot	ramot	NOUN
ejpam-6479	43	2	et	et	PROPN
ejpam-6479	43	3	al	al	PROPN
ejpam-6479	43	4	.	.	PROPN
ejpam-6479	43	5	2002	2002	NUM
ejpam-6479	44	1	[	[	X
ejpam-6479	44	2	15	15	NUM
ejpam-6479	44	3	]	]	PUNCT
ejpam-6479	44	4	offered	offer	VERB
ejpam-6479	44	5	a	a	DET
ejpam-6479	44	6	mathematical	mathematical	ADJ
ejpam-6479	44	7	approach	approach	NOUN
ejpam-6479	44	8	that	that	PRON
ejpam-6479	44	9	uses	use	VERB
ejpam-6479	44	10	a	a	DET
ejpam-6479	44	11	complex	complex	ADJ
ejpam-6479	44	12	fuzzy	fuzzy	ADJ
ejpam-6479	44	13	number	number	NOUN
ejpam-6479	44	14	to	to	PART
ejpam-6479	44	15	describe	describe	VERB
ejpam-6479	44	16	membership	membership	NOUN
ejpam-6479	44	17	in	in	ADP
ejpam-6479	44	18	a	a	DET
ejpam-6479	44	19	set	set	NOUN
ejpam-6479	44	20	.	.	PUNCT
ejpam-6479	45	1	in	in	ADP
ejpam-6479	45	2	[	[	X
ejpam-6479	45	3	16	16	NUM
ejpam-6479	45	4	]	]	SYM
ejpam-6479	45	5	2016	2016	NUM
ejpam-6479	45	6	,	,	PUNCT
ejpam-6479	45	7	thirunavukarasu	thirunavukarasu	NOUN
ejpam-6479	45	8	et	et	NOUN
ejpam-6479	45	9	al	al	PROPN
ejpam-6479	45	10	.	.	PUNCT
ejpam-6479	45	11	expand	expand	VERB
ejpam-6479	45	12	on	on	ADP
ejpam-6479	45	13	the	the	DET
ejpam-6479	45	14	idea	idea	NOUN
ejpam-6479	45	15	based	base	VERB
ejpam-6479	45	16	on	on	ADP
ejpam-6479	45	17	certain	certain	ADJ
ejpam-6479	45	18	energies	energy	NOUN
ejpam-6479	45	19	and	and	CCONJ
ejpam-6479	45	20	their	their	PRON
ejpam-6479	45	21	intricate	intricate	ADJ
ejpam-6479	45	22	systems	system	NOUN
ejpam-6479	45	23	.	.	PUNCT
ejpam-6479	46	1	shoaib	shoaib	PROPN
ejpam-6479	46	2	et	et	PROPN
ejpam-6479	46	3	al	al	PROPN
ejpam-6479	46	4	,	,	PUNCT
ejpam-6479	46	5	applied	apply	VERB
ejpam-6479	46	6	the	the	DET
ejpam-6479	46	7	complex	complex	ADJ
ejpam-6479	46	8	fuzzy	fuzzy	ADJ
ejpam-6479	46	9	set	set	NOUN
ejpam-6479	46	10	in	in	ADP
ejpam-6479	46	11	graph	graph	NOUN
ejpam-6479	46	12	theory	theory	NOUN
ejpam-6479	46	13	and	and	CCONJ
ejpam-6479	46	14	varies	vary	VERB
ejpam-6479	46	15	operations	operation	NOUN
ejpam-6479	46	16	are	be	AUX
ejpam-6479	46	17	discussed	discuss	VERB
ejpam-6479	46	18	in	in	ADP
ejpam-6479	46	19	2022	2022	NUM
ejpam-6479	46	20	[	[	X
ejpam-6479	46	21	17	17	NUM
ejpam-6479	46	22	]	]	PUNCT
ejpam-6479	46	23	.	.	PUNCT
ejpam-6479	47	1	a	a	DET
ejpam-6479	47	2	sophisticated	sophisticated	ADJ
ejpam-6479	47	3	hesitant	hesitant	ADJ
ejpam-6479	47	4	fuzzy	fuzzy	ADJ
ejpam-6479	47	5	graph	graph	NOUN
ejpam-6479	47	6	model	model	NOUN
ejpam-6479	47	7	was	be	AUX
ejpam-6479	47	8	presented	present	VERB
ejpam-6479	47	9	by	by	ADP
ejpam-6479	47	10	abuhijleh	abuhijleh	PROPN
ejpam-6479	47	11	(	(	PUNCT
ejpam-6479	47	12	2023	2023	NUM
ejpam-6479	47	13	)	)	PUNCT
ejpam-6479	47	14	to	to	PART
ejpam-6479	47	15	depict	depict	VERB
ejpam-6479	47	16	the	the	DET
ejpam-6479	47	17	influencing	influence	VERB
ejpam-6479	47	18	elements	element	NOUN
ejpam-6479	47	19	and	and	CCONJ
ejpam-6479	47	20	cooperative	cooperative	ADJ
ejpam-6479	47	21	ties	tie	NOUN
ejpam-6479	47	22	amongst	amongst	ADP
ejpam-6479	47	23	ministries	ministry	NOUN
ejpam-6479	47	24	.	.	PUNCT
ejpam-6479	48	1	vertex	vertex	NOUN
ejpam-6479	48	2	degrees	degree	NOUN
ejpam-6479	48	3	in	in	ADP
ejpam-6479	48	4	two	two	NUM
ejpam-6479	48	5	of	of	ADP
ejpam-6479	48	6	these	these	DET
ejpam-6479	48	7	graphs	graph	NOUN
ejpam-6479	48	8	were	be	AUX
ejpam-6479	48	9	also	also	ADV
ejpam-6479	48	10	examined	examine	VERB
ejpam-6479	48	11	and	and	CCONJ
ejpam-6479	48	12	a	a	DET
ejpam-6479	48	13	case	case	NOUN
ejpam-6479	48	14	study	study	NOUN
ejpam-6479	48	15	assessing	assess	VERB
ejpam-6479	48	16	intra	intra	ADJ
ejpam-6479	48	17	-	-	ADJ
ejpam-6479	48	18	ministerial	ministerial	ADJ
ejpam-6479	48	19	and	and	CCONJ
ejpam-6479	48	20	interministerial	interministerial	ADJ
ejpam-6479	48	21	cooperation	cooperation	NOUN
ejpam-6479	48	22	to	to	PART
ejpam-6479	48	23	enhance	enhance	VERB
ejpam-6479	48	24	the	the	DET
ejpam-6479	48	25	representation	representation	NOUN
ejpam-6479	48	26	of	of	ADP
ejpam-6479	48	27	dual	dual	ADJ
ejpam-6479	48	28	-	-	PUNCT
ejpam-6479	48	29	variable	variable	NOUN
ejpam-6479	48	30	systems	system	NOUN
ejpam-6479	48	31	was	be	AUX
ejpam-6479	48	32	used	use	VERB
ejpam-6479	48	33	w.	w.	PROPN
ejpam-6479	48	34	f.	f.	PROPN
ejpam-6479	48	35	al	al	PROPN
ejpam-6479	48	36	-	-	PUNCT
ejpam-6479	48	37	omeri	omeri	PROPN
ejpam-6479	49	1	et	et	PROPN
ejpam-6479	49	2	al	al	PROPN
ejpam-6479	49	3	.	.	PUNCT
ejpam-6479	49	4	/	/	SYM
ejpam-6479	49	5	eur	eur	PROPN
ejpam-6479	49	6	.	.	PUNCT
ejpam-6479	50	1	j.	j.	PROPN
ejpam-6479	50	2	pure	pure	PROPN
ejpam-6479	50	3	appl	appl	PROPN
ejpam-6479	50	4	.	.	PROPN
ejpam-6479	50	5	math	math	PROPN
ejpam-6479	50	6	,	,	PUNCT
ejpam-6479	50	7	18	18	NUM
ejpam-6479	50	8	(	(	PUNCT
ejpam-6479	50	9	3	3	NUM
ejpam-6479	50	10	)	)	PUNCT
ejpam-6479	50	11	(	(	PUNCT
ejpam-6479	50	12	2025	2025	NUM
ejpam-6479	50	13	)	)	PUNCT
ejpam-6479	50	14	,	,	PUNCT
ejpam-6479	50	15	6479	6479	NUM
ejpam-6479	50	16	3	3	NUM
ejpam-6479	50	17	of	of	ADP
ejpam-6479	50	18	28	28	NUM
ejpam-6479	50	19	to	to	PART
ejpam-6479	50	20	illustrate	illustrate	VERB
ejpam-6479	50	21	the	the	DET
ejpam-6479	50	22	model	model	NOUN
ejpam-6479	50	23	’s	’s	PART
ejpam-6479	50	24	usefulness	usefulness	NOUN
ejpam-6479	50	25	in	in	ADP
ejpam-6479	50	26	[	[	X
ejpam-6479	50	27	18	18	NUM
ejpam-6479	50	28	]	]	PUNCT
ejpam-6479	50	29	.	.	PUNCT
ejpam-6479	51	1	in	in	ADP
ejpam-6479	51	2	2025	2025	NUM
ejpam-6479	51	3	[	[	X
ejpam-6479	51	4	19	19	NUM
ejpam-6479	51	5	]	]	PUNCT
ejpam-6479	51	6	,	,	PUNCT
ejpam-6479	51	7	kaviyarasu	kaviyarasu	PROPN
ejpam-6479	51	8	et	et	PROPN
ejpam-6479	51	9	al	al	PROPN
ejpam-6479	51	10	.	.	PROPN
ejpam-6479	51	11	developed	develop	VERB
ejpam-6479	51	12	the	the	DET
ejpam-6479	51	13	concept	concept	NOUN
ejpam-6479	51	14	of	of	ADP
ejpam-6479	51	15	exponential	exponential	ADJ
ejpam-6479	51	16	fuzzy	fuzzy	ADJ
ejpam-6479	51	17	sets	set	NOUN
ejpam-6479	51	18	,	,	PUNCT
ejpam-6479	51	19	subsequently	subsequently	ADV
ejpam-6479	51	20	developing	develop	VERB
ejpam-6479	51	21	foundational	foundational	ADJ
ejpam-6479	51	22	definitions	definition	NOUN
ejpam-6479	51	23	,	,	PUNCT
ejpam-6479	51	24	illustrative	illustrative	ADJ
ejpam-6479	51	25	examples	example	NOUN
ejpam-6479	51	26	,	,	PUNCT
ejpam-6479	51	27	key	key	ADJ
ejpam-6479	51	28	properties	property	NOUN
ejpam-6479	51	29	and	and	CCONJ
ejpam-6479	51	30	related	related	ADJ
ejpam-6479	51	31	theorems	theorem	NOUN
ejpam-6479	51	32	.	.	PUNCT
ejpam-6479	52	1	the	the	DET
ejpam-6479	52	2	study	study	NOUN
ejpam-6479	52	3	concluded	conclude	VERB
ejpam-6479	52	4	with	with	ADP
ejpam-6479	52	5	an	an	DET
ejpam-6479	52	6	application	application	NOUN
ejpam-6479	52	7	in	in	ADP
ejpam-6479	52	8	ai	ai	ADJ
ejpam-6479	52	9	-	-	PUNCT
ejpam-6479	52	10	powered	power	VERB
ejpam-6479	52	11	investment	investment	NOUN
ejpam-6479	52	12	decision	decision	NOUN
ejpam-6479	52	13	-	-	PUNCT
ejpam-6479	52	14	making	making	NOUN
ejpam-6479	52	15	,	,	PUNCT
ejpam-6479	52	16	employing	employ	VERB
ejpam-6479	52	17	a	a	DET
ejpam-6479	52	18	weighted	weighted	ADJ
ejpam-6479	52	19	average	average	ADJ
ejpam-6479	52	20	values	value	NOUN
ejpam-6479	52	21	to	to	ADP
ejpam-6479	52	22	approach.al	approach.al	PROPN
ejpam-6479	52	23	-	-	PUNCT
ejpam-6479	52	24	omeri	omeri	ADJ
ejpam-6479	52	25	et	et	PROPN
ejpam-6479	52	26	al	al	PROPN
ejpam-6479	52	27	.	.	PUNCT
ejpam-6479	53	1	[	[	X
ejpam-6479	53	2	20][21	20][21	X
ejpam-6479	53	3	]	]	PUNCT
ejpam-6479	53	4	presented	present	VERB
ejpam-6479	53	5	a	a	DET
ejpam-6479	53	6	novel	novel	ADJ
ejpam-6479	53	7	class	class	NOUN
ejpam-6479	53	8	of	of	ADP
ejpam-6479	53	9	sets	set	NOUN
ejpam-6479	53	10	,	,	PUNCT
ejpam-6479	53	11	known	know	VERB
ejpam-6479	53	12	as	as	ADP
ejpam-6479	53	13	e	e	NOUN
ejpam-6479	53	14	-	-	PROPN
ejpam-6479	53	15	i	i	NOUN
ejpam-6479	53	16	-	-	PUNCT
ejpam-6479	53	17	open	open	ADJ
ejpam-6479	53	18	sets	set	NOUN
ejpam-6479	53	19	,	,	PUNCT
ejpam-6479	53	20	has	have	AUX
ejpam-6479	53	21	been	be	AUX
ejpam-6479	53	22	presented	present	VERB
ejpam-6479	53	23	in	in	ADP
ejpam-6479	53	24	the	the	DET
ejpam-6479	53	25	context	context	NOUN
ejpam-6479	53	26	of	of	ADP
ejpam-6479	53	27	ideal	ideal	ADJ
ejpam-6479	53	28	topology	topology	NOUN
ejpam-6479	53	29	and	and	CCONJ
ejpam-6479	53	30	simple	simple	ADJ
ejpam-6479	53	31	extension	extension	NOUN
ejpam-6479	53	32	topology	topology	NOUN
ejpam-6479	53	33	.	.	PUNCT
ejpam-6479	54	1	it	it	PRON
ejpam-6479	54	2	has	have	AUX
ejpam-6479	54	3	been	be	AUX
ejpam-6479	54	4	demonstrated	demonstrate	VERB
ejpam-6479	54	5	that	that	SCONJ
ejpam-6479	54	6	these	these	DET
ejpam-6479	54	7	sets	set	NOUN
ejpam-6479	54	8	are	be	AUX
ejpam-6479	54	9	a	a	DET
ejpam-6479	54	10	less	less	ADV
ejpam-6479	54	11	powerful	powerful	ADJ
ejpam-6479	54	12	variant	variant	NOUN
ejpam-6479	54	13	of	of	ADP
ejpam-6479	54	14	m	m	ADJ
ejpam-6479	54	15	-	-	ADJ
ejpam-6479	54	16	open	open	ADJ
ejpam-6479	54	17	sets	set	NOUN
ejpam-6479	54	18	.	.	PUNCT
ejpam-6479	55	1	numerous	numerous	ADJ
ejpam-6479	55	2	topological	topological	ADJ
ejpam-6479	55	3	characteristics	characteristic	NOUN
ejpam-6479	55	4	of	of	ADP
ejpam-6479	55	5	the	the	DET
ejpam-6479	55	6	idea	idea	NOUN
ejpam-6479	55	7	have	have	AUX
ejpam-6479	55	8	been	be	AUX
ejpam-6479	55	9	investigated	investigate	VERB
ejpam-6479	55	10	,	,	PUNCT
ejpam-6479	55	11	and	and	CCONJ
ejpam-6479	55	12	it	it	PRON
ejpam-6479	55	13	has	have	AUX
ejpam-6479	55	14	been	be	AUX
ejpam-6479	55	15	further	far	ADV
ejpam-6479	55	16	expanded	expand	VERB
ejpam-6479	55	17	.	.	PUNCT
ejpam-6479	56	1	al	al	PROPN
ejpam-6479	56	2	-	-	PUNCT
ejpam-6479	56	3	shami	shami	PROPN
ejpam-6479	56	4	et	et	PROPN
ejpam-6479	56	5	al	al	PROPN
ejpam-6479	56	6	.	.	PUNCT
ejpam-6479	57	1	[	[	X
ejpam-6479	57	2	22	22	NUM
ejpam-6479	57	3	]	]	PUNCT
ejpam-6479	57	4	explores	explore	VERB
ejpam-6479	57	5	soft	soft	ADJ
ejpam-6479	57	6	closed	closed	ADJ
ejpam-6479	57	7	graphs	graph	NOUN
ejpam-6479	57	8	and	and	CCONJ
ejpam-6479	57	9	soft	soft	ADJ
ejpam-6479	57	10	continuous	continuous	ADJ
ejpam-6479	57	11	mappings	mapping	NOUN
ejpam-6479	57	12	,	,	PUNCT
ejpam-6479	57	13	characterizing	characterize	VERB
ejpam-6479	57	14	soft	soft	ADJ
ejpam-6479	57	15	continuity	continuity	NOUN
ejpam-6479	57	16	via	via	ADP
ejpam-6479	57	17	soft	soft	ADJ
ejpam-6479	57	18	points	point	NOUN
ejpam-6479	57	19	and	and	CCONJ
ejpam-6479	57	20	establishing	establish	VERB
ejpam-6479	57	21	conditions	condition	NOUN
ejpam-6479	57	22	for	for	ADP
ejpam-6479	57	23	soft	soft	ADJ
ejpam-6479	57	24	equalizers	equalizer	NOUN
ejpam-6479	57	25	to	to	PART
ejpam-6479	57	26	be	be	AUX
ejpam-6479	57	27	soft	soft	ADJ
ejpam-6479	57	28	closed	closed	ADJ
ejpam-6479	57	29	.	.	PUNCT
ejpam-6479	58	1	it	it	PRON
ejpam-6479	58	2	also	also	ADV
ejpam-6479	58	3	shows	show	VERB
ejpam-6479	58	4	the	the	DET
ejpam-6479	58	5	convergence	convergence	NOUN
ejpam-6479	58	6	equivalence	equivalence	NOUN
ejpam-6479	58	7	between	between	ADP
ejpam-6479	58	8	soft	soft	ADJ
ejpam-6479	58	9	nets	net	NOUN
ejpam-6479	58	10	and	and	CCONJ
ejpam-6479	58	11	soft	soft	ADJ
ejpam-6479	58	12	filters	filter	NOUN
ejpam-6479	58	13	,	,	PUNCT
ejpam-6479	58	14	and	and	CCONJ
ejpam-6479	58	15	proves	prove	VERB
ejpam-6479	58	16	that	that	SCONJ
ejpam-6479	58	17	in	in	ADP
ejpam-6479	58	18	soft	soft	ADJ
ejpam-6479	58	19	hausdorff	hausdorff	NOUN
ejpam-6479	58	20	and	and	CCONJ
ejpam-6479	58	21	compact	compact	ADJ
ejpam-6479	58	22	co	co	NOUN
ejpam-6479	58	23	-	-	NOUN
ejpam-6479	58	24	domains	domain	NOUN
ejpam-6479	58	25	,	,	PUNCT
ejpam-6479	58	26	soft	soft	ADJ
ejpam-6479	58	27	continuity	continuity	NOUN
ejpam-6479	58	28	is	be	AUX
ejpam-6479	58	29	equivalent	equivalent	ADJ
ejpam-6479	58	30	to	to	ADP
ejpam-6479	58	31	having	have	VERB
ejpam-6479	58	32	a	a	DET
ejpam-6479	58	33	soft	soft	ADJ
ejpam-6479	58	34	closed	closed	ADJ
ejpam-6479	58	35	graph	graph	NOUN
ejpam-6479	58	36	.	.	PUNCT
ejpam-6479	59	1	in	in	ADP
ejpam-6479	59	2	order	order	NOUN
ejpam-6479	59	3	to	to	PART
ejpam-6479	59	4	improve	improve	VERB
ejpam-6479	59	5	uncertainty	uncertainty	NOUN
ejpam-6479	59	6	modelling	modelling	NOUN
ejpam-6479	59	7	,	,	PUNCT
ejpam-6479	59	8	ibrahim	ibrahim	PROPN
ejpam-6479	59	9	et	et	PROPN
ejpam-6479	59	10	al	al	PROPN
ejpam-6479	59	11	.	.	PUNCT
ejpam-6479	60	1	[	[	X
ejpam-6479	60	2	23	23	NUM
ejpam-6479	60	3	]	]	PUNCT
ejpam-6479	60	4	presents	present	VERB
ejpam-6479	60	5	complex	complex	ADJ
ejpam-6479	60	6	nth	nth	NOUN
ejpam-6479	60	7	power	power	NOUN
ejpam-6479	60	8	root	root	NOUN
ejpam-6479	60	9	fuzzy	fuzzy	ADJ
ejpam-6479	60	10	sets	set	NOUN
ejpam-6479	60	11	,	,	PUNCT
ejpam-6479	60	12	which	which	PRON
ejpam-6479	60	13	combine	combine	VERB
ejpam-6479	60	14	complex	complex	ADJ
ejpam-6479	60	15	fuzzy	fuzzy	ADJ
ejpam-6479	60	16	logic	logic	NOUN
ejpam-6479	60	17	with	with	ADP
ejpam-6479	60	18	nth	nth	PROPN
ejpam-6479	60	19	power	power	NOUN
ejpam-6479	60	20	root	root	NOUN
ejpam-6479	60	21	fuzzy	fuzzy	ADJ
ejpam-6479	60	22	sets	set	NOUN
ejpam-6479	60	23	.	.	PUNCT
ejpam-6479	61	1	it	it	PRON
ejpam-6479	61	2	uses	use	VERB
ejpam-6479	61	3	the	the	DET
ejpam-6479	61	4	newly	newly	ADV
ejpam-6479	61	5	defined	define	VERB
ejpam-6479	61	6	comparison	comparison	NOUN
ejpam-6479	61	7	tools	tool	NOUN
ejpam-6479	61	8	and	and	CCONJ
ejpam-6479	61	9	aggregation	aggregation	NOUN
ejpam-6479	61	10	operators	operator	NOUN
ejpam-6479	61	11	to	to	PART
ejpam-6479	61	12	decision	decision	NOUN
ejpam-6479	61	13	-	-	PUNCT
ejpam-6479	61	14	making	make	VERB
ejpam-6479	61	15	issues	issue	NOUN
ejpam-6479	61	16	such	such	ADJ
ejpam-6479	61	17	as	as	ADP
ejpam-6479	61	18	venue	venue	NOUN
ejpam-6479	61	19	and	and	CCONJ
ejpam-6479	61	20	caterer	caterer	NOUN
ejpam-6479	61	21	selection	selection	NOUN
ejpam-6479	61	22	.	.	PUNCT
ejpam-6479	62	1	the	the	DET
ejpam-6479	62	2	n	n	CCONJ
ejpam-6479	62	3	,	,	PUNCT
ejpam-6479	62	4	m	m	NOUN
ejpam-6479	62	5	-	-	ADJ
ejpam-6479	62	6	rung	rung	ADJ
ejpam-6479	62	7	picture	picture	NOUN
ejpam-6479	62	8	fuzzy	fuzzy	ADJ
ejpam-6479	62	9	set	set	NOUN
ejpam-6479	62	10	,	,	PUNCT
ejpam-6479	62	11	an	an	DET
ejpam-6479	62	12	improved	improved	ADJ
ejpam-6479	62	13	model	model	NOUN
ejpam-6479	62	14	that	that	PRON
ejpam-6479	62	15	goes	go	VERB
ejpam-6479	62	16	beyond	beyond	ADP
ejpam-6479	62	17	q	q	ADJ
ejpam-6479	62	18	-	-	PUNCT
ejpam-6479	62	19	rung	rung	ADJ
ejpam-6479	62	20	picture	picture	NOUN
ejpam-6479	62	21	fuzzy	fuzzy	ADJ
ejpam-6479	62	22	sets	set	NOUN
ejpam-6479	62	23	by	by	ADP
ejpam-6479	62	24	accounting	account	VERB
ejpam-6479	62	25	for	for	ADP
ejpam-6479	62	26	greater	great	ADJ
ejpam-6479	62	27	uncertainty	uncertainty	NOUN
ejpam-6479	62	28	in	in	ADP
ejpam-6479	62	29	multi	multi	ADJ
ejpam-6479	62	30	-	-	ADJ
ejpam-6479	62	31	attribute	attribute	NOUN
ejpam-6479	62	32	decision	decision	NOUN
ejpam-6479	62	33	-	-	PUNCT
ejpam-6479	62	34	making	making	NOUN
ejpam-6479	62	35	,	,	PUNCT
ejpam-6479	62	36	is	be	AUX
ejpam-6479	62	37	presented	present	VERB
ejpam-6479	62	38	in	in	ADP
ejpam-6479	62	39	this	this	DET
ejpam-6479	62	40	work	work	NOUN
ejpam-6479	62	41	.	.	PUNCT
ejpam-6479	63	1	to	to	PART
ejpam-6479	63	2	evaluate	evaluate	VERB
ejpam-6479	63	3	expat	expat	NOUN
ejpam-6479	63	4	living	living	NOUN
ejpam-6479	63	5	standards	standard	NOUN
ejpam-6479	63	6	,	,	PUNCT
ejpam-6479	63	7	a	a	DET
ejpam-6479	63	8	new	new	ADJ
ejpam-6479	63	9	aggregation	aggregation	NOUN
ejpam-6479	63	10	operator	operator	NOUN
ejpam-6479	63	11	,	,	PUNCT
ejpam-6479	63	12	n	n	CCONJ
ejpam-6479	63	13	,	,	PUNCT
ejpam-6479	63	14	m	m	NOUN
ejpam-6479	63	15	-	-	PUNCT
ejpam-6479	63	16	rpfwpa	rpfwpa	NOUN
ejpam-6479	63	17	,	,	PUNCT
ejpam-6479	63	18	is	be	AUX
ejpam-6479	63	19	put	put	VERB
ejpam-6479	63	20	forth	forth	ADV
ejpam-6479	63	21	and	and	CCONJ
ejpam-6479	63	22	used	use	VERB
ejpam-6479	63	23	.	.	PUNCT
ejpam-6479	64	1	through	through	ADP
ejpam-6479	64	2	comparisons	comparison	NOUN
ejpam-6479	64	3	with	with	ADP
ejpam-6479	64	4	current	current	ADJ
ejpam-6479	64	5	fuzzy	fuzzy	ADJ
ejpam-6479	64	6	decision	decision	NOUN
ejpam-6479	64	7	-	-	PUNCT
ejpam-6479	64	8	making	make	VERB
ejpam-6479	64	9	operators	operator	NOUN
ejpam-6479	64	10	,	,	PUNCT
ejpam-6479	64	11	the	the	DET
ejpam-6479	64	12	model	model	NOUN
ejpam-6479	64	13	’s	’s	PART
ejpam-6479	64	14	efficacy	efficacy	NOUN
ejpam-6479	64	15	is	be	AUX
ejpam-6479	64	16	confirmed	confirm	VERB
ejpam-6479	64	17	ibrahim	ibrahim	PROPN
ejpam-6479	64	18	et	et	PROPN
ejpam-6479	64	19	al	al	PROPN
ejpam-6479	64	20	.	.	PUNCT
ejpam-6479	65	1	[	[	X
ejpam-6479	65	2	24	24	NUM
ejpam-6479	65	3	]	]	PUNCT
ejpam-6479	65	4	.	.	PUNCT
ejpam-6479	66	1	notation	notation	NOUN
ejpam-6479	66	2	table	table	NOUN
ejpam-6479	66	3	:	:	PUNCT
ejpam-6479	66	4	symbol	symbol	NOUN
ejpam-6479	66	5	meaning	mean	VERB
ejpam-6479	66	6	g	g	PROPN
ejpam-6479	66	7	exponential	exponential	ADJ
ejpam-6479	66	8	fuzzy	fuzzy	ADJ
ejpam-6479	66	9	graph	graph	NOUN
ejpam-6479	66	10	ev	ev	ADP
ejpam-6479	66	11	exponential	exponential	ADJ
ejpam-6479	66	12	fuzzy	fuzzy	ADJ
ejpam-6479	66	13	vertex	vertex	NOUN
ejpam-6479	66	14	set	set	VERB
ejpam-6479	66	15	ee	ee	ADP
ejpam-6479	66	16	exponential	exponential	ADJ
ejpam-6479	66	17	fuzzy	fuzzy	ADJ
ejpam-6479	66	18	edge	edge	NOUN
ejpam-6479	66	19	set	set	VERB
ejpam-6479	66	20	ϑv	ϑv	NOUN
ejpam-6479	66	21	(	(	PUNCT
ejpam-6479	66	22	w	w	NOUN
ejpam-6479	66	23	)	)	PUNCT
ejpam-6479	66	24	vertex	vertex	NOUN
ejpam-6479	66	25	membership	membership	NOUN
ejpam-6479	66	26	ϑe(r	ϑe(r	X
ejpam-6479	66	27	,	,	PUNCT
ejpam-6479	66	28	w	w	NOUN
ejpam-6479	66	29	)	)	PUNCT
ejpam-6479	66	30	edge	edge	NOUN
ejpam-6479	66	31	membership	membership	NOUN
ejpam-6479	66	32	αv	αv	ADP
ejpam-6479	66	33	(	(	PUNCT
ejpam-6479	66	34	w	w	NOUN
ejpam-6479	66	35	)	)	PUNCT
ejpam-6479	66	36	vertex	vertex	NOUN
ejpam-6479	66	37	base	base	NOUN
ejpam-6479	66	38	-	-	PUNCT
ejpam-6479	66	39	membership	membership	NOUN
ejpam-6479	66	40	αe(r	αe(r	NUM
ejpam-6479	66	41	,	,	PUNCT
ejpam-6479	66	42	w	w	NOUN
ejpam-6479	66	43	)	)	PUNCT
ejpam-6479	66	44	edge	edge	NOUN
ejpam-6479	66	45	base	base	NOUN
ejpam-6479	66	46	-	-	PUNCT
ejpam-6479	66	47	membership	membership	NOUN
ejpam-6479	66	48	λ	λ	PROPN
ejpam-6479	66	49	parameter	parameter	NOUN
ejpam-6479	66	50	degg(w	degg(w	PROPN
ejpam-6479	66	51	)	)	PUNCT
ejpam-6479	66	52	degree	degree	NOUN
ejpam-6479	66	53	of	of	ADP
ejpam-6479	66	54	a	a	DET
ejpam-6479	66	55	vertex	vertex	NOUN
ejpam-6479	66	56	table	table	NOUN
ejpam-6479	66	57	1	1	NUM
ejpam-6479	66	58	:	:	PUNCT
ejpam-6479	66	59	notation	notation	NOUN
ejpam-6479	66	60	table	table	NOUN
ejpam-6479	66	61	research	research	NOUN
ejpam-6479	66	62	gap	gap	NOUN
ejpam-6479	66	63	and	and	CCONJ
ejpam-6479	66	64	contribution	contribution	NOUN
ejpam-6479	66	65	of	of	ADP
ejpam-6479	66	66	this	this	DET
ejpam-6479	66	67	study	study	NOUN
ejpam-6479	66	68	:	:	PUNCT
ejpam-6479	66	69	the	the	DET
ejpam-6479	66	70	extension	extension	NOUN
ejpam-6479	66	71	of	of	ADP
ejpam-6479	66	72	fuzzy	fuzzy	ADJ
ejpam-6479	66	73	graph	graph	NOUN
ejpam-6479	66	74	theory	theory	NOUN
ejpam-6479	66	75	’s	’s	PART
ejpam-6479	66	76	notions	notion	NOUN
ejpam-6479	66	77	into	into	ADP
ejpam-6479	66	78	the	the	DET
ejpam-6479	66	79	exponential	exponential	ADJ
ejpam-6479	66	80	fuzzy	fuzzy	ADJ
ejpam-6479	66	81	framework	framework	NOUN
ejpam-6479	66	82	has	have	AUX
ejpam-6479	66	83	not	not	PART
ejpam-6479	66	84	yet	yet	ADV
ejpam-6479	66	85	been	be	AUX
ejpam-6479	66	86	investigated	investigate	VERB
ejpam-6479	66	87	in	in	ADP
ejpam-6479	66	88	the	the	DET
ejpam-6479	66	89	literature	literature	NOUN
ejpam-6479	66	90	,	,	PUNCT
ejpam-6479	66	91	despite	despite	SCONJ
ejpam-6479	66	92	the	the	DET
ejpam-6479	66	93	fact	fact	NOUN
ejpam-6479	66	94	that	that	SCONJ
ejpam-6479	66	95	the	the	DET
ejpam-6479	66	96	topic	topic	NOUN
ejpam-6479	66	97	is	be	AUX
ejpam-6479	66	98	well	well	ADV
ejpam-6479	66	99	-	-	PUNCT
ejpam-6479	66	100	established	establish	VERB
ejpam-6479	66	101	and	and	CCONJ
ejpam-6479	66	102	extensively	extensively	ADV
ejpam-6479	66	103	studied	study	VERB
ejpam-6479	66	104	.	.	PUNCT
ejpam-6479	67	1	in	in	ADP
ejpam-6479	67	2	this	this	DET
ejpam-6479	67	3	study	study	NOUN
ejpam-6479	67	4	,	,	PUNCT
ejpam-6479	67	5	we	we	PRON
ejpam-6479	67	6	introduce	introduce	VERB
ejpam-6479	67	7	the	the	DET
ejpam-6479	67	8	innovative	innovative	ADJ
ejpam-6479	67	9	idea	idea	NOUN
ejpam-6479	67	10	of	of	ADP
ejpam-6479	67	11	exponential	exponential	ADJ
ejpam-6479	67	12	fuzzy	fuzzy	ADJ
ejpam-6479	67	13	graphs	graph	NOUN
ejpam-6479	67	14	.	.	PUNCT
ejpam-6479	68	1	the	the	DET
ejpam-6479	68	2	study	study	NOUN
ejpam-6479	68	3	explores	explore	VERB
ejpam-6479	68	4	vertex	vertex	NOUN
ejpam-6479	68	5	degrees	degree	NOUN
ejpam-6479	68	6	,	,	PUNCT
ejpam-6479	68	7	various	various	ADJ
ejpam-6479	68	8	types	type	NOUN
ejpam-6479	68	9	of	of	ADP
ejpam-6479	68	10	graph	graph	NOUN
ejpam-6479	68	11	products	product	NOUN
ejpam-6479	68	12	and	and	CCONJ
ejpam-6479	68	13	provides	provide	VERB
ejpam-6479	68	14	illustrative	illustrative	ADJ
ejpam-6479	68	15	examples	example	NOUN
ejpam-6479	68	16	accompanied	accompany	VERB
ejpam-6479	68	17	by	by	ADP
ejpam-6479	68	18	noteworthy	noteworthy	ADJ
ejpam-6479	68	19	properties	property	NOUN
ejpam-6479	68	20	.	.	PUNCT
ejpam-6479	69	1	furthermore	furthermore	ADV
ejpam-6479	69	2	,	,	PUNCT
ejpam-6479	69	3	we	we	PRON
ejpam-6479	69	4	present	present	VERB
ejpam-6479	69	5	an	an	DET
ejpam-6479	69	6	application	application	NOUN
ejpam-6479	69	7	in	in	ADP
ejpam-6479	69	8	the	the	DET
ejpam-6479	69	9	dow	dow	NOUN
ejpam-6479	69	10	.	.	PUNCT
ejpam-6479	70	1	f.	f.	PROPN
ejpam-6479	70	2	al	al	PROPN
ejpam-6479	70	3	-	-	PUNCT
ejpam-6479	70	4	omeri	omeri	PROPN
ejpam-6479	70	5	et	et	PROPN
ejpam-6479	70	6	al	al	PROPN
ejpam-6479	70	7	.	.	PUNCT
ejpam-6479	70	8	/	/	SYM
ejpam-6479	70	9	eur	eur	PROPN
ejpam-6479	70	10	.	.	PUNCT
ejpam-6479	71	1	j.	j.	PROPN
ejpam-6479	71	2	pure	pure	PROPN
ejpam-6479	71	3	appl	appl	PROPN
ejpam-6479	71	4	.	.	PROPN
ejpam-6479	71	5	math	math	PROPN
ejpam-6479	71	6	,	,	PUNCT
ejpam-6479	71	7	18	18	NUM
ejpam-6479	71	8	(	(	PUNCT
ejpam-6479	71	9	3	3	NUM
ejpam-6479	71	10	)	)	PUNCT
ejpam-6479	71	11	(	(	PUNCT
ejpam-6479	71	12	2025	2025	NUM
ejpam-6479	71	13	)	)	PUNCT
ejpam-6479	71	14	,	,	PUNCT
ejpam-6479	71	15	6479	6479	NUM
ejpam-6479	71	16	4	4	NUM
ejpam-6479	71	17	of	of	ADP
ejpam-6479	71	18	28	28	NUM
ejpam-6479	71	19	main	main	ADJ
ejpam-6479	71	20	of	of	ADP
ejpam-6479	71	21	multi	multi	ADJ
ejpam-6479	71	22	-	-	ADJ
ejpam-6479	71	23	criteria	criterion	NOUN
ejpam-6479	71	24	decision	decision	NOUN
ejpam-6479	71	25	-	-	PUNCT
ejpam-6479	71	26	making	making	NOUN
ejpam-6479	71	27	(	(	PUNCT
ejpam-6479	71	28	mcdm	mcdm	ADJ
ejpam-6479	71	29	)	)	PUNCT
ejpam-6479	71	30	.	.	PUNCT
ejpam-6479	72	1	this	this	DET
ejpam-6479	72	2	work	work	NOUN
ejpam-6479	72	3	’s	’s	PART
ejpam-6479	72	4	vital	vital	ADJ
ejpam-6479	72	5	contribution	contribution	NOUN
ejpam-6479	72	6	is	be	AUX
ejpam-6479	72	7	to	to	ADP
ejpam-6479	72	8	the	the	DET
ejpam-6479	72	9	improvement	improvement	NOUN
ejpam-6479	72	10	of	of	ADP
ejpam-6479	72	11	exponential	exponential	ADJ
ejpam-6479	72	12	fuzzy	fuzzy	ADJ
ejpam-6479	72	13	graph	graph	NOUN
ejpam-6479	72	14	structures	structure	NOUN
ejpam-6479	72	15	and	and	CCONJ
ejpam-6479	72	16	their	their	PRON
ejpam-6479	72	17	specialized	specialized	ADJ
ejpam-6479	72	18	forms	form	NOUN
ejpam-6479	72	19	,	,	PUNCT
ejpam-6479	72	20	designed	design	VERB
ejpam-6479	72	21	to	to	PART
ejpam-6479	72	22	address	address	VERB
ejpam-6479	72	23	limitations	limitation	NOUN
ejpam-6479	72	24	found	find	VERB
ejpam-6479	72	25	in	in	ADP
ejpam-6479	72	26	existing	exist	VERB
ejpam-6479	72	27	models	model	NOUN
ejpam-6479	72	28	within	within	ADP
ejpam-6479	72	29	the	the	DET
ejpam-6479	72	30	literature	literature	NOUN
ejpam-6479	72	31	.	.	PUNCT
ejpam-6479	73	1	to	to	PART
ejpam-6479	73	2	support	support	VERB
ejpam-6479	73	3	practical	practical	ADJ
ejpam-6479	73	4	implementation	implementation	NOUN
ejpam-6479	73	5	,	,	PUNCT
ejpam-6479	73	6	we	we	PRON
ejpam-6479	73	7	propose	propose	VERB
ejpam-6479	73	8	an	an	DET
ejpam-6479	73	9	algorithm	algorithm	NOUN
ejpam-6479	73	10	aimed	aim	VERB
ejpam-6479	73	11	at	at	ADP
ejpam-6479	73	12	determining	determine	VERB
ejpam-6479	73	13	tolerance	tolerance	NOUN
ejpam-6479	73	14	levels	level	NOUN
ejpam-6479	73	15	among	among	ADP
ejpam-6479	73	16	real	real	ADJ
ejpam-6479	73	17	-	-	PUNCT
ejpam-6479	73	18	world	world	NOUN
ejpam-6479	73	19	entities	entity	NOUN
ejpam-6479	73	20	,	,	PUNCT
ejpam-6479	73	21	with	with	ADP
ejpam-6479	73	22	a	a	DET
ejpam-6479	73	23	focused	focused	ADJ
ejpam-6479	73	24	application	application	NOUN
ejpam-6479	73	25	in	in	ADP
ejpam-6479	73	26	solving	solve	VERB
ejpam-6479	73	27	mcdm	mcdm	ADJ
ejpam-6479	73	28	problems	problem	NOUN
ejpam-6479	73	29	.	.	PUNCT
ejpam-6479	74	1	novelty	novelty	NOUN
ejpam-6479	74	2	•	•	ADP
ejpam-6479	74	3	an	an	DET
ejpam-6479	74	4	exponential	exponential	ADJ
ejpam-6479	74	5	decay	decay	NOUN
ejpam-6479	74	6	function	function	NOUN
ejpam-6479	74	7	is	be	AUX
ejpam-6479	74	8	directly	directly	ADV
ejpam-6479	74	9	incorporated	incorporate	VERB
ejpam-6479	74	10	into	into	ADP
ejpam-6479	74	11	the	the	DET
ejpam-6479	74	12	vertex	vertex	NOUN
ejpam-6479	74	13	and	and	CCONJ
ejpam-6479	74	14	edge	edge	NOUN
ejpam-6479	74	15	membership	membership	NOUN
ejpam-6479	74	16	values	value	NOUN
ejpam-6479	74	17	in	in	ADP
ejpam-6479	74	18	efgs	efgs	NOUN
ejpam-6479	74	19	.	.	PUNCT
ejpam-6479	75	1	•	•	NUM
ejpam-6479	75	2	efgs	efgs	PROPN
ejpam-6479	75	3	dynamically	dynamically	ADV
ejpam-6479	75	4	model	model	VERB
ejpam-6479	75	5	how	how	SCONJ
ejpam-6479	75	6	impact	impact	NOUN
ejpam-6479	75	7	or	or	CCONJ
ejpam-6479	75	8	relevance	relevance	NOUN
ejpam-6479	75	9	diminishes	diminish	VERB
ejpam-6479	75	10	over	over	ADP
ejpam-6479	75	11	time	time	NOUN
ejpam-6479	75	12	or	or	CCONJ
ejpam-6479	75	13	through	through	ADP
ejpam-6479	75	14	intricate	intricate	ADJ
ejpam-6479	75	15	interactions	interaction	NOUN
ejpam-6479	75	16	,	,	PUNCT
ejpam-6479	75	17	in	in	ADP
ejpam-6479	75	18	contrast	contrast	NOUN
ejpam-6479	75	19	to	to	ADP
ejpam-6479	75	20	standard	standard	ADJ
ejpam-6479	75	21	fuzzy	fuzzy	ADJ
ejpam-6479	75	22	graphs	graph	NOUN
ejpam-6479	75	23	with	with	ADP
ejpam-6479	75	24	members	member	NOUN
ejpam-6479	75	25	that	that	PRON
ejpam-6479	75	26	are	be	AUX
ejpam-6479	75	27	fixed	fix	VERB
ejpam-6479	75	28	or	or	CCONJ
ejpam-6479	75	29	static	static	ADJ
ejpam-6479	75	30	.	.	PUNCT
ejpam-6479	76	1	•	•	NUM
ejpam-6479	76	2	efgs	efgs	NOUN
ejpam-6479	76	3	are	be	AUX
ejpam-6479	76	4	more	more	ADV
ejpam-6479	76	5	in	in	ADP
ejpam-6479	76	6	line	line	NOUN
ejpam-6479	76	7	with	with	ADP
ejpam-6479	76	8	real	real	ADJ
ejpam-6479	76	9	-	-	PUNCT
ejpam-6479	76	10	world	world	NOUN
ejpam-6479	76	11	situations	situation	NOUN
ejpam-6479	76	12	since	since	SCONJ
ejpam-6479	76	13	they	they	PRON
ejpam-6479	76	14	more	more	ADV
ejpam-6479	76	15	accurately	accurately	ADV
ejpam-6479	76	16	depict	depict	VERB
ejpam-6479	76	17	the	the	DET
ejpam-6479	76	18	impact	impact	NOUN
ejpam-6479	76	19	’s	’s	PART
ejpam-6479	76	20	natural	natural	ADJ
ejpam-6479	76	21	degradation	degradation	NOUN
ejpam-6479	76	22	.	.	PUNCT
ejpam-6479	77	1	in	in	ADP
ejpam-6479	77	2	network	network	NOUN
ejpam-6479	77	3	-	-	PUNCT
ejpam-6479	77	4	based	base	VERB
ejpam-6479	77	5	systems	system	NOUN
ejpam-6479	77	6	,	,	PUNCT
ejpam-6479	77	7	this	this	DET
ejpam-6479	77	8	dynamic	dynamic	ADJ
ejpam-6479	77	9	behavior	behavior	NOUN
ejpam-6479	77	10	improves	improve	VERB
ejpam-6479	77	11	the	the	DET
ejpam-6479	77	12	precision	precision	NOUN
ejpam-6479	77	13	and	and	CCONJ
ejpam-6479	77	14	dependability	dependability	NOUN
ejpam-6479	77	15	of	of	ADP
ejpam-6479	77	16	uncertainty	uncertainty	NOUN
ejpam-6479	77	17	representation	representation	NOUN
ejpam-6479	77	18	.	.	PUNCT
ejpam-6479	78	1	•	•	NUM
ejpam-6479	78	2	efgs	efgs	NOUN
ejpam-6479	78	3	’	'	PUNCT
ejpam-6479	78	4	adaptability	adaptability	NOUN
ejpam-6479	78	5	and	and	CCONJ
ejpam-6479	78	6	time	time	NOUN
ejpam-6479	78	7	sensitivity	sensitivity	NOUN
ejpam-6479	78	8	make	make	VERB
ejpam-6479	78	9	them	they	PRON
ejpam-6479	78	10	appropriate	appropriate	ADJ
ejpam-6479	78	11	for	for	ADP
ejpam-6479	78	12	a	a	DET
ejpam-6479	78	13	variety	variety	NOUN
ejpam-6479	78	14	of	of	ADP
ejpam-6479	78	15	applications	application	NOUN
ejpam-6479	78	16	,	,	PUNCT
ejpam-6479	78	17	such	such	ADJ
ejpam-6479	78	18	as	as	ADP
ejpam-6479	78	19	flood	flood	NOUN
ejpam-6479	78	20	prediction	prediction	NOUN
ejpam-6479	78	21	,	,	PUNCT
ejpam-6479	78	22	where	where	SCONJ
ejpam-6479	78	23	circumstances	circumstance	NOUN
ejpam-6479	78	24	can	can	AUX
ejpam-6479	78	25	change	change	VERB
ejpam-6479	78	26	suddenly	suddenly	ADV
ejpam-6479	78	27	and	and	CCONJ
ejpam-6479	78	28	without	without	ADP
ejpam-6479	78	29	warning	warning	NOUN
ejpam-6479	78	30	.	.	PUNCT
ejpam-6479	79	1	motivation	motivation	NOUN
ejpam-6479	79	2	•	•	NOUN
ejpam-6479	79	3	static	static	ADJ
ejpam-6479	79	4	membership	membership	NOUN
ejpam-6479	79	5	values	value	NOUN
ejpam-6479	79	6	,	,	PUNCT
ejpam-6479	79	7	which	which	PRON
ejpam-6479	79	8	are	be	AUX
ejpam-6479	79	9	used	use	VERB
ejpam-6479	79	10	in	in	ADP
ejpam-6479	79	11	traditional	traditional	ADJ
ejpam-6479	79	12	fuzzy	fuzzy	ADJ
ejpam-6479	79	13	graphs	graph	NOUN
ejpam-6479	79	14	,	,	PUNCT
ejpam-6479	79	15	are	be	AUX
ejpam-6479	79	16	insufficient	insufficient	ADJ
ejpam-6479	79	17	to	to	PART
ejpam-6479	79	18	depict	depict	VERB
ejpam-6479	79	19	systems	system	NOUN
ejpam-6479	79	20	with	with	ADP
ejpam-6479	79	21	interactions	interaction	NOUN
ejpam-6479	79	22	that	that	PRON
ejpam-6479	79	23	change	change	VERB
ejpam-6479	79	24	or	or	CCONJ
ejpam-6479	79	25	degrade	degrade	VERB
ejpam-6479	79	26	over	over	ADP
ejpam-6479	79	27	time	time	NOUN
ejpam-6479	79	28	.	.	PUNCT
ejpam-6479	80	1	•	•	NOUN
ejpam-6479	80	2	dynamic	dynamic	ADJ
ejpam-6479	80	3	modeling	modeling	NOUN
ejpam-6479	80	4	is	be	AUX
ejpam-6479	80	5	necessary	necessary	ADJ
ejpam-6479	80	6	for	for	ADP
ejpam-6479	80	7	many	many	ADJ
ejpam-6479	80	8	real	real	ADJ
ejpam-6479	80	9	-	-	PUNCT
ejpam-6479	80	10	world	world	NOUN
ejpam-6479	80	11	systems	system	NOUN
ejpam-6479	80	12	that	that	PRON
ejpam-6479	80	13	show	show	VERB
ejpam-6479	80	14	gradually	gradually	ADV
ejpam-6479	80	15	deteriorating	deteriorate	VERB
ejpam-6479	80	16	linkages	linkage	NOUN
ejpam-6479	80	17	,	,	PUNCT
ejpam-6479	80	18	such	such	ADJ
ejpam-6479	80	19	as	as	ADP
ejpam-6479	80	20	the	the	DET
ejpam-6479	80	21	spread	spread	NOUN
ejpam-6479	80	22	of	of	ADP
ejpam-6479	80	23	environmental	environmental	ADJ
ejpam-6479	80	24	pollution	pollution	NOUN
ejpam-6479	80	25	,	,	PUNCT
ejpam-6479	80	26	biological	biological	ADJ
ejpam-6479	80	27	network	network	NOUN
ejpam-6479	80	28	interactions	interaction	NOUN
ejpam-6479	80	29	and	and	CCONJ
ejpam-6479	80	30	the	the	DET
ejpam-6479	80	31	development	development	NOUN
ejpam-6479	80	32	of	of	ADP
ejpam-6479	80	33	social	social	ADJ
ejpam-6479	80	34	influence	influence	NOUN
ejpam-6479	80	35	.	.	PUNCT
ejpam-6479	81	1	•	•	NUM
ejpam-6479	81	2	efgs	efg	NOUN
ejpam-6479	81	3	are	be	AUX
ejpam-6479	81	4	created	create	VERB
ejpam-6479	81	5	to	to	PART
ejpam-6479	81	6	account	account	VERB
ejpam-6479	81	7	for	for	ADP
ejpam-6479	81	8	the	the	DET
ejpam-6479	81	9	time	time	NOUN
ejpam-6479	81	10	-	-	PUNCT
ejpam-6479	81	11	sensitive	sensitive	ADJ
ejpam-6479	81	12	and	and	CCONJ
ejpam-6479	81	13	interaction	interaction	NOUN
ejpam-6479	81	14	-	-	PUNCT
ejpam-6479	81	15	sensitive	sensitive	ADJ
ejpam-6479	81	16	decay	decay	NOUN
ejpam-6479	81	17	of	of	ADP
ejpam-6479	81	18	relationships	relationship	NOUN
ejpam-6479	81	19	in	in	ADP
ejpam-6479	81	20	order	order	NOUN
ejpam-6479	81	21	to	to	PART
ejpam-6479	81	22	overcome	overcome	VERB
ejpam-6479	81	23	this	this	DET
ejpam-6479	81	24	constraint	constraint	NOUN
ejpam-6479	81	25	.	.	PUNCT
ejpam-6479	82	1	•	•	NUM
ejpam-6479	82	2	the	the	DET
ejpam-6479	82	3	decay	decay	NOUN
ejpam-6479	82	4	parameter	parameter	NOUN
ejpam-6479	82	5	λ	λ	PROPN
ejpam-6479	82	6	,	,	PUNCT
ejpam-6479	82	7	which	which	PRON
ejpam-6479	82	8	is	be	AUX
ejpam-6479	82	9	modifiable	modifiable	ADJ
ejpam-6479	82	10	in	in	ADP
ejpam-6479	82	11	efgs	efgs	NOUN
ejpam-6479	82	12	,	,	PUNCT
ejpam-6479	82	13	allows	allow	VERB
ejpam-6479	82	14	for	for	ADP
ejpam-6479	82	15	flexible	flexible	ADJ
ejpam-6479	82	16	tweaking	tweaking	NOUN
ejpam-6479	82	17	of	of	ADP
ejpam-6479	82	18	the	the	DET
ejpam-6479	82	19	rate	rate	NOUN
ejpam-6479	82	20	at	at	ADP
ejpam-6479	82	21	which	which	PRON
ejpam-6479	82	22	influence	influence	NOUN
ejpam-6479	82	23	or	or	CCONJ
ejpam-6479	82	24	connection	connection	NOUN
ejpam-6479	82	25	strength	strength	NOUN
ejpam-6479	82	26	declines	decline	VERB
ejpam-6479	82	27	.	.	PUNCT
ejpam-6479	83	1	for	for	ADP
ejpam-6479	83	2	complex	complex	ADJ
ejpam-6479	83	3	and	and	CCONJ
ejpam-6479	83	4	unpredictable	unpredictable	ADJ
ejpam-6479	83	5	systems	system	NOUN
ejpam-6479	83	6	,	,	PUNCT
ejpam-6479	83	7	this	this	DET
ejpam-6479	83	8	dynamic	dynamic	ADJ
ejpam-6479	83	9	structure	structure	NOUN
ejpam-6479	83	10	offers	offer	VERB
ejpam-6479	83	11	deeper	deep	ADJ
ejpam-6479	83	12	analytical	analytical	ADJ
ejpam-6479	83	13	insights	insight	NOUN
ejpam-6479	83	14	and	and	CCONJ
ejpam-6479	83	15	more	more	ADV
ejpam-6479	83	16	accurate	accurate	ADJ
ejpam-6479	83	17	simulation	simulation	NOUN
ejpam-6479	83	18	.	.	PUNCT
ejpam-6479	84	1	structure	structure	NOUN
ejpam-6479	84	2	of	of	ADP
ejpam-6479	84	3	this	this	DET
ejpam-6479	84	4	paper	paper	NOUN
ejpam-6479	84	5	:	:	PUNCT
ejpam-6479	84	6	this	this	DET
ejpam-6479	84	7	section	section	NOUN
ejpam-6479	84	8	is	be	AUX
ejpam-6479	84	9	structured	structure	VERB
ejpam-6479	84	10	as	as	SCONJ
ejpam-6479	84	11	follows	follow	VERB
ejpam-6479	84	12	:	:	PUNCT
ejpam-6479	84	13	section	section	NOUN
ejpam-6479	84	14	2	2	NUM
ejpam-6479	84	15	provides	provide	VERB
ejpam-6479	84	16	fundamental	fundamental	ADJ
ejpam-6479	84	17	information	information	NOUN
ejpam-6479	84	18	of	of	ADP
ejpam-6479	84	19	exponential	exponential	ADJ
ejpam-6479	84	20	fuzzy	fuzzy	ADJ
ejpam-6479	84	21	graphs	graph	NOUN
ejpam-6479	84	22	.	.	PUNCT
ejpam-6479	85	1	the	the	DET
ejpam-6479	85	2	basic	basic	ADJ
ejpam-6479	85	3	concept	concept	NOUN
ejpam-6479	85	4	of	of	ADP
ejpam-6479	85	5	exponential	exponential	ADJ
ejpam-6479	85	6	fuzzy	fuzzy	ADJ
ejpam-6479	85	7	graphs	graph	NOUN
ejpam-6479	85	8	and	and	CCONJ
ejpam-6479	85	9	related	related	ADJ
ejpam-6479	85	10	functions	function	NOUN
ejpam-6479	85	11	is	be	AUX
ejpam-6479	85	12	presented	present	VERB
ejpam-6479	85	13	in	in	ADP
ejpam-6479	85	14	section	section	NOUN
ejpam-6479	85	15	3	3	NUM
ejpam-6479	85	16	,	,	PUNCT
ejpam-6479	85	17	supported	support	VERB
ejpam-6479	85	18	by	by	ADP
ejpam-6479	85	19	examples	example	NOUN
ejpam-6479	85	20	and	and	CCONJ
ejpam-6479	85	21	theorems	theorem	NOUN
ejpam-6479	85	22	.	.	PUNCT
ejpam-6479	86	1	section	section	NOUN
ejpam-6479	86	2	4	4	NUM
ejpam-6479	86	3	discusses	discuss	VERB
ejpam-6479	86	4	an	an	DET
ejpam-6479	86	5	application	application	NOUN
ejpam-6479	86	6	pertaining	pertain	VERB
ejpam-6479	86	7	to	to	ADP
ejpam-6479	86	8	environmental	environmental	ADJ
ejpam-6479	86	9	pollution	pollution	NOUN
ejpam-6479	86	10	.	.	PUNCT
ejpam-6479	87	1	lastly	lastly	ADV
ejpam-6479	87	2	,	,	PUNCT
ejpam-6479	87	3	the	the	DET
ejpam-6479	87	4	conclusion	conclusion	NOUN
ejpam-6479	87	5	and	and	CCONJ
ejpam-6479	87	6	future	future	ADJ
ejpam-6479	87	7	research	research	NOUN
ejpam-6479	87	8	prospects	prospect	NOUN
ejpam-6479	87	9	are	be	AUX
ejpam-6479	87	10	discussed	discuss	VERB
ejpam-6479	87	11	in	in	ADP
ejpam-6479	87	12	section	section	NOUN
ejpam-6479	87	13	5	5	NUM
ejpam-6479	87	14	.	.	PUNCT
ejpam-6479	88	1	w.	w.	PROPN
ejpam-6479	88	2	f.	f.	PROPN
ejpam-6479	88	3	al	al	PROPN
ejpam-6479	88	4	-	-	PUNCT
ejpam-6479	88	5	omeri	omeri	PROPN
ejpam-6479	88	6	et	et	PROPN
ejpam-6479	88	7	al	al	PROPN
ejpam-6479	88	8	.	.	PUNCT
ejpam-6479	88	9	/	/	SYM
ejpam-6479	88	10	eur	eur	PROPN
ejpam-6479	88	11	.	.	PUNCT
ejpam-6479	89	1	j.	j.	PROPN
ejpam-6479	89	2	pure	pure	PROPN
ejpam-6479	89	3	appl	appl	PROPN
ejpam-6479	89	4	.	.	PROPN
ejpam-6479	89	5	math	math	PROPN
ejpam-6479	89	6	,	,	PUNCT
ejpam-6479	89	7	18	18	NUM
ejpam-6479	89	8	(	(	PUNCT
ejpam-6479	89	9	3	3	NUM
ejpam-6479	89	10	)	)	PUNCT
ejpam-6479	89	11	(	(	PUNCT
ejpam-6479	89	12	2025	2025	NUM
ejpam-6479	89	13	)	)	PUNCT
ejpam-6479	89	14	,	,	PUNCT
ejpam-6479	89	15	6479	6479	NUM
ejpam-6479	89	16	5	5	NUM
ejpam-6479	89	17	of	of	ADP
ejpam-6479	89	18	28	28	NUM
ejpam-6479	89	19	2	2	NUM
ejpam-6479	89	20	.	.	PUNCT
ejpam-6479	90	1	preliminaries	preliminary	NOUN
ejpam-6479	90	2	definition	definition	NOUN
ejpam-6479	90	3	1	1	NUM
ejpam-6479	90	4	.	.	PUNCT
ejpam-6479	91	1	[	[	X
ejpam-6479	91	2	1	1	X
ejpam-6479	91	3	]	]	PUNCT
ejpam-6479	91	4	a	a	DET
ejpam-6479	91	5	function	function	NOUN
ejpam-6479	91	6	of	of	ADP
ejpam-6479	91	7	membership	membership	NOUN
ejpam-6479	91	8	ϑv	ϑv	NOUN
ejpam-6479	91	9	which	which	PRON
ejpam-6479	91	10	assumes	assume	VERB
ejpam-6479	91	11	values	value	NOUN
ejpam-6479	91	12	in	in	ADP
ejpam-6479	91	13	unit	unit	NOUN
ejpam-6479	91	14	interval	interval	NOUN
ejpam-6479	91	15	[	[	X
ejpam-6479	91	16	0	0	NUM
ejpam-6479	91	17	,	,	PUNCT
ejpam-6479	91	18	1	1	NUM
ejpam-6479	91	19	]	]	PUNCT
ejpam-6479	91	20	characterises	characterise	VERB
ejpam-6479	91	21	a	a	DET
ejpam-6479	91	22	fuzzy	fuzzy	ADJ
ejpam-6479	91	23	set	set	VERB
ejpam-6479	91	24	v	v	NOUN
ejpam-6479	91	25	in	in	ADP
ejpam-6479	91	26	a	a	DET
ejpam-6479	91	27	universal	universal	ADJ
ejpam-6479	91	28	set	set	VERB
ejpam-6479	91	29	g.	g.	NOUN
ejpam-6479	91	30	ϑv	ϑv	ADP
ejpam-6479	91	31	(	(	PUNCT
ejpam-6479	91	32	w	w	PROPN
ejpam-6479	91	33	)	)	PUNCT
ejpam-6479	91	34	=	=	SYM
ejpam-6479	91	35	g	g	NOUN
ejpam-6479	91	36	→	→	SYM
ejpam-6479	91	37	[	[	X
ejpam-6479	91	38	0	0	NUM
ejpam-6479	91	39	,	,	PUNCT
ejpam-6479	91	40	1	1	NUM
ejpam-6479	91	41	]	]	PUNCT
ejpam-6479	91	42	.	.	PUNCT
ejpam-6479	92	1	the	the	DET
ejpam-6479	92	2	grade	grade	NOUN
ejpam-6479	92	3	membership	membership	NOUN
ejpam-6479	92	4	of	of	ADP
ejpam-6479	92	5	g	g	PROPN
ejpam-6479	92	6	in	in	ADP
ejpam-6479	92	7	v	v	NUM
ejpam-6479	92	8	is	be	AUX
ejpam-6479	92	9	represented	represent	VERB
ejpam-6479	92	10	by	by	ADP
ejpam-6479	92	11	the	the	DET
ejpam-6479	92	12	value	value	NOUN
ejpam-6479	92	13	of	of	ADP
ejpam-6479	92	14	ϑv	ϑv	NOUN
ejpam-6479	92	15	(	(	PUNCT
ejpam-6479	92	16	w	w	NOUN
ejpam-6479	92	17	)	)	PUNCT
ejpam-6479	92	18	,	,	PUNCT
ejpam-6479	92	19	which	which	PRON
ejpam-6479	92	20	is	be	AUX
ejpam-6479	92	21	a	a	DET
ejpam-6479	92	22	point	point	NOUN
ejpam-6479	92	23	in	in	ADP
ejpam-6479	92	24	[	[	X
ejpam-6479	92	25	0	0	NUM
ejpam-6479	92	26	,	,	PUNCT
ejpam-6479	92	27	1	1	NUM
ejpam-6479	92	28	]	]	PUNCT
ejpam-6479	92	29	.	.	PUNCT
ejpam-6479	93	1	definition	definition	NOUN
ejpam-6479	93	2	2	2	NUM
ejpam-6479	93	3	.	.	PUNCT
ejpam-6479	94	1	a	a	DET
ejpam-6479	94	2	non	non	ADJ
ejpam-6479	94	3	-	-	ADJ
ejpam-6479	94	4	empty	empty	ADJ
ejpam-6479	94	5	collection	collection	NOUN
ejpam-6479	94	6	of	of	ADP
ejpam-6479	94	7	vertices	vertex	NOUN
ejpam-6479	94	8	is	be	AUX
ejpam-6479	94	9	denoted	denote	VERB
ejpam-6479	94	10	by	by	ADP
ejpam-6479	94	11	v	v	NOUN
ejpam-6479	94	12	.	.	PUNCT
ejpam-6479	95	1	definition	definition	NOUN
ejpam-6479	95	2	of	of	ADP
ejpam-6479	95	3	fuzzy	fuzzy	ADJ
ejpam-6479	95	4	graph	graph	NOUN
ejpam-6479	95	5	g	g	PROPN
ejpam-6479	95	6	=	=	PUNCT
ejpam-6479	95	7	(	(	PUNCT
ejpam-6479	95	8	ev	ev	INTJ
ejpam-6479	95	9	,	,	PUNCT
ejpam-6479	95	10	ee	ee	PROPN
ejpam-6479	95	11	)	)	PUNCT
ejpam-6479	95	12	is	be	AUX
ejpam-6479	95	13	:	:	PUNCT
ejpam-6479	95	14	every	every	DET
ejpam-6479	95	15	vertex	vertex	NOUN
ejpam-6479	95	16	w	w	PROPN
ejpam-6479	95	17	∈	∈	PROPN
ejpam-6479	95	18	v	v	NOUN
ejpam-6479	95	19	was	be	AUX
ejpam-6479	95	20	allotted	allot	VERB
ejpam-6479	95	21	a	a	DET
ejpam-6479	95	22	degree	degree	NOUN
ejpam-6479	95	23	ev	ev	X
ejpam-6479	95	24	(	(	PUNCT
ejpam-6479	95	25	w	w	NOUN
ejpam-6479	95	26	)	)	PUNCT
ejpam-6479	95	27	in	in	ADP
ejpam-6479	95	28	a	a	DET
ejpam-6479	95	29	fuzzy	fuzzy	ADJ
ejpam-6479	95	30	subset	subset	NOUN
ejpam-6479	95	31	ev	ev	X
ejpam-6479	95	32	:	:	PUNCT
ejpam-6479	95	33	v	v	PROPN
ejpam-6479	95	34	→	→	SYM
ejpam-6479	95	35	[	[	X
ejpam-6479	95	36	0	0	NUM
ejpam-6479	95	37	,	,	PUNCT
ejpam-6479	95	38	1	1	NUM
ejpam-6479	95	39	]	]	PUNCT
ejpam-6479	95	40	.	.	PUNCT
ejpam-6479	96	1	every	every	DET
ejpam-6479	96	2	edge	edge	NOUN
ejpam-6479	96	3	(	(	PUNCT
ejpam-6479	96	4	r	r	NOUN
ejpam-6479	96	5	,	,	PUNCT
ejpam-6479	96	6	w	w	NOUN
ejpam-6479	96	7	)	)	PUNCT
ejpam-6479	96	8	∈	∈	NOUN
ejpam-6479	96	9	v	v	NOUN
ejpam-6479	96	10	×v	×v	NOUN
ejpam-6479	96	11	was	be	AUX
ejpam-6479	96	12	allotted	allot	VERB
ejpam-6479	96	13	a	a	DET
ejpam-6479	96	14	degree	degree	NOUN
ejpam-6479	96	15	ϑ(r	ϑ(r	PROPN
ejpam-6479	96	16	,	,	PUNCT
ejpam-6479	96	17	w	w	PROPN
ejpam-6479	96	18	)	)	PUNCT
ejpam-6479	96	19	by	by	ADP
ejpam-6479	96	20	a	a	DET
ejpam-6479	96	21	fuzzy	fuzzy	ADJ
ejpam-6479	96	22	relation	relation	NOUN
ejpam-6479	96	23	ϑ	ϑ	X
ejpam-6479	96	24	:	:	PUNCT
ejpam-6479	96	25	v	v	NUM
ejpam-6479	96	26	×	×	NOUN
ejpam-6479	96	27	v	v	NOUN
ejpam-6479	96	28	→	→	SYM
ejpam-6479	96	29	[	[	X
ejpam-6479	96	30	0	0	NUM
ejpam-6479	96	31	,	,	PUNCT
ejpam-6479	96	32	1	1	NUM
ejpam-6479	96	33	]	]	PUNCT
ejpam-6479	96	34	,	,	PUNCT
ejpam-6479	96	35	so	so	SCONJ
ejpam-6479	96	36	that	that	SCONJ
ejpam-6479	96	37	:	:	PUNCT
ejpam-6479	96	38	ϑ(r	ϑ(r	PROPN
ejpam-6479	96	39	,	,	PUNCT
ejpam-6479	96	40	w	w	PROPN
ejpam-6479	96	41	)	)	PUNCT
ejpam-6479	96	42	≤	≤	NOUN
ejpam-6479	96	43	min{ev	min{ev	NUM
ejpam-6479	96	44	(	(	PUNCT
ejpam-6479	96	45	r	r	NOUN
ejpam-6479	96	46	)	)	PUNCT
ejpam-6479	96	47	,	,	PUNCT
ejpam-6479	96	48	ev	ev	X
ejpam-6479	96	49	(	(	PUNCT
ejpam-6479	96	50	w	w	NOUN
ejpam-6479	96	51	)	)	PUNCT
ejpam-6479	96	52	}	}	PUNCT
ejpam-6479	96	53	∀r	∀r	NOUN
ejpam-6479	96	54	,	,	PUNCT
ejpam-6479	96	55	w	w	PROPN
ejpam-6479	96	56	∈	∈	PROPN
ejpam-6479	96	57	v.	v.	ADP
ejpam-6479	96	58	according	accord	VERB
ejpam-6479	96	59	to	to	ADP
ejpam-6479	96	60	this	this	DET
ejpam-6479	96	61	condition	condition	NOUN
ejpam-6479	96	62	,	,	PUNCT
ejpam-6479	96	63	the	the	DET
ejpam-6479	96	64	edge	edge	NOUN
ejpam-6479	96	65	membership	membership	NOUN
ejpam-6479	96	66	can	can	AUX
ejpam-6479	96	67	not	not	PART
ejpam-6479	96	68	be	be	AUX
ejpam-6479	96	69	more	more	ADJ
ejpam-6479	96	70	than	than	SCONJ
ejpam-6479	96	71	the	the	DET
ejpam-6479	96	72	incident	incident	NOUN
ejpam-6479	96	73	vertices	vertice	VERB
ejpam-6479	96	74	membership	membership	NOUN
ejpam-6479	96	75	.	.	PUNCT
ejpam-6479	97	1	definition	definition	NOUN
ejpam-6479	97	2	3	3	NUM
ejpam-6479	97	3	.	.	PUNCT
ejpam-6479	98	1	[	[	X
ejpam-6479	98	2	19	19	NUM
ejpam-6479	98	3	]	]	X
ejpam-6479	98	4	if	if	SCONJ
ejpam-6479	98	5	g	g	PROPN
ejpam-6479	98	6	is	be	AUX
ejpam-6479	98	7	an	an	DET
ejpam-6479	98	8	universal	universal	ADJ
ejpam-6479	98	9	set	set	NOUN
ejpam-6479	98	10	and	and	CCONJ
ejpam-6479	98	11	w	w	NOUN
ejpam-6479	98	12	be	be	AUX
ejpam-6479	98	13	any	any	DET
ejpam-6479	98	14	specific	specific	ADJ
ejpam-6479	98	15	element	element	NOUN
ejpam-6479	98	16	of	of	ADP
ejpam-6479	98	17	g.	g.	PROPN
ejpam-6479	98	18	the	the	DET
ejpam-6479	98	19	exponential	exponential	ADJ
ejpam-6479	98	20	fuzzy	fuzzy	NOUN
ejpam-6479	98	21	set	set	VERB
ejpam-6479	98	22	ea	ea	CCONJ
ejpam-6479	98	23	defined	define	VERB
ejpam-6479	98	24	on	on	ADP
ejpam-6479	98	25	g	g	PROPN
ejpam-6479	98	26	is	be	AUX
ejpam-6479	98	27	a	a	DET
ejpam-6479	98	28	gathering	gathering	NOUN
ejpam-6479	98	29	of	of	ADP
ejpam-6479	98	30	ordered	order	VERB
ejpam-6479	98	31	pairs	pair	NOUN
ejpam-6479	98	32	,	,	PUNCT
ejpam-6479	98	33	ea	ea	X
ejpam-6479	98	34	=	=	SYM
ejpam-6479	98	35	{	{	PUNCT
ejpam-6479	98	36	(	(	PUNCT
ejpam-6479	98	37	w	w	NOUN
ejpam-6479	98	38	,	,	PUNCT
ejpam-6479	98	39	ϑv	ϑv	X
ejpam-6479	98	40	(	(	PUNCT
ejpam-6479	98	41	w)e	w)e	X
ejpam-6479	98	42	−λϑv	−λϑv	PROPN
ejpam-6479	98	43	(	(	PUNCT
ejpam-6479	98	44	w	w	NOUN
ejpam-6479	98	45	)	)	PUNCT
ejpam-6479	98	46	)	)	PUNCT
ejpam-6479	99	1	|w	|w	NOUN
ejpam-6479	99	2	∈	∈	PROPN
ejpam-6479	99	3	g	g	PROPN
ejpam-6479	99	4	,	,	PUNCT
ejpam-6479	99	5	λ	λ	X
ejpam-6479	99	6	>	>	X
ejpam-6479	99	7	0	0	NUM
ejpam-6479	99	8	}	}	PUNCT
ejpam-6479	99	9	,	,	PUNCT
ejpam-6479	99	10	where	where	SCONJ
ejpam-6479	99	11	ϑv	ϑv	X
ejpam-6479	99	12	(	(	PUNCT
ejpam-6479	99	13	w)e	w)e	X
ejpam-6479	99	14	−λϑa(y	−λϑa(y	NOUN
ejpam-6479	99	15	)	)	PUNCT
ejpam-6479	99	16	:	:	PUNCT
ejpam-6479	100	1	g	g	X
ejpam-6479	100	2	→	→	SYM
ejpam-6479	100	3	[	[	X
ejpam-6479	100	4	0	0	NUM
ejpam-6479	100	5	,	,	PUNCT
ejpam-6479	100	6	1	1	NUM
ejpam-6479	100	7	]	]	PUNCT
ejpam-6479	100	8	is	be	AUX
ejpam-6479	100	9	called	call	VERB
ejpam-6479	100	10	the	the	DET
ejpam-6479	100	11	membership	membership	NOUN
ejpam-6479	100	12	function	function	NOUN
ejpam-6479	100	13	.	.	PUNCT
ejpam-6479	101	1	the	the	DET
ejpam-6479	101	2	degree	degree	NOUN
ejpam-6479	101	3	of	of	ADP
ejpam-6479	101	4	membership	membership	NOUN
ejpam-6479	101	5	function	function	NOUN
ejpam-6479	101	6	0	0	NUM
ejpam-6479	101	7	≤	≤	NOUN
ejpam-6479	101	8	ϑv	ϑv	NOUN
ejpam-6479	101	9	(	(	PUNCT
ejpam-6479	101	10	w)e	w)e	X
ejpam-6479	101	11	−λϑv	−λϑv	PROPN
ejpam-6479	101	12	(	(	PUNCT
ejpam-6479	101	13	w	w	NOUN
ejpam-6479	101	14	)	)	PUNCT
ejpam-6479	101	15	≤	≤	NUM
ejpam-6479	101	16	1	1	NUM
ejpam-6479	101	17	.	.	PUNCT
ejpam-6479	101	18	example	example	NOUN
ejpam-6479	102	1	1	1	NUM
ejpam-6479	102	2	.	.	PUNCT
ejpam-6479	103	1	[	[	X
ejpam-6479	103	2	19	19	NUM
ejpam-6479	103	3	]	]	PUNCT
ejpam-6479	103	4	using	use	VERB
ejpam-6479	103	5	g	g	PROPN
ejpam-6479	103	6	=	=	SYM
ejpam-6479	103	7	{	{	PUNCT
ejpam-6479	103	8	1	1	NUM
ejpam-6479	103	9	,	,	PUNCT
ejpam-6479	103	10	2	2	NUM
ejpam-6479	103	11	,	,	PUNCT
ejpam-6479	103	12	3	3	NUM
ejpam-6479	103	13	,	,	PUNCT
ejpam-6479	103	14	4	4	NUM
ejpam-6479	103	15	,	,	PUNCT
ejpam-6479	103	16	5	5	NUM
ejpam-6479	103	17	}	}	PUNCT
ejpam-6479	103	18	as	as	ADP
ejpam-6479	103	19	the	the	DET
ejpam-6479	103	20	universal	universal	ADJ
ejpam-6479	103	21	set	set	NOUN
ejpam-6479	103	22	,	,	PUNCT
ejpam-6479	103	23	the	the	DET
ejpam-6479	103	24	decay	decay	NOUN
ejpam-6479	103	25	parameter	parameter	NOUN
ejpam-6479	103	26	λ	λ	PROPN
ejpam-6479	103	27	=	=	NOUN
ejpam-6479	103	28	0.02	0.02	NUM
ejpam-6479	103	29	and	and	CCONJ
ejpam-6479	103	30	the	the	DET
ejpam-6479	103	31	fuzzy	fuzzy	ADJ
ejpam-6479	103	32	membership	membership	NOUN
ejpam-6479	103	33	values	value	NOUN
ejpam-6479	103	34	of	of	ADP
ejpam-6479	103	35	g	g	PROPN
ejpam-6479	103	36	are	be	AUX
ejpam-6479	103	37	ϑa(w	ϑa(w	NOUN
ejpam-6479	103	38	)	)	PUNCT
ejpam-6479	103	39	=	=	SYM
ejpam-6479	103	40	{	{	PUNCT
ejpam-6479	103	41	0.9	0.9	NUM
ejpam-6479	103	42	,	,	PUNCT
ejpam-6479	103	43	0.7	0.7	NUM
ejpam-6479	103	44	,	,	PUNCT
ejpam-6479	103	45	0.5	0.5	NUM
ejpam-6479	103	46	,	,	PUNCT
ejpam-6479	103	47	0.4	0.4	NUM
ejpam-6479	103	48	,	,	PUNCT
ejpam-6479	103	49	0.3	0.3	NUM
ejpam-6479	103	50	}	}	PUNCT
ejpam-6479	103	51	.	.	PUNCT
ejpam-6479	104	1	ea(w	ea(w	NOUN
ejpam-6479	104	2	)	)	PUNCT
ejpam-6479	105	1	=	=	SYM
ejpam-6479	105	2	ϑv	ϑv	NOUN
ejpam-6479	105	3	(	(	PUNCT
ejpam-6479	105	4	w)e	w)e	PROPN
ejpam-6479	105	5	−λϑv	−λϑv	PROPN
ejpam-6479	105	6	(	(	PUNCT
ejpam-6479	105	7	w	w	NOUN
ejpam-6479	105	8	)	)	PUNCT
ejpam-6479	105	9	is	be	AUX
ejpam-6479	105	10	the	the	DET
ejpam-6479	105	11	exponential	exponential	ADJ
ejpam-6479	105	12	fuzzy	fuzzy	ADJ
ejpam-6479	105	13	membership	membership	NOUN
ejpam-6479	105	14	function	function	NOUN
ejpam-6479	105	15	.	.	PUNCT
ejpam-6479	106	1	the	the	DET
ejpam-6479	106	2	fuzzy	fuzzy	ADJ
ejpam-6479	106	3	membership	membership	NOUN
ejpam-6479	106	4	values	value	NOUN
ejpam-6479	106	5	that	that	PRON
ejpam-6479	106	6	are	be	AUX
ejpam-6479	106	7	exponential	exponential	ADJ
ejpam-6479	106	8	ea(w	ea(w	NOUN
ejpam-6479	106	9	)	)	PUNCT
ejpam-6479	106	10	=	=	PRON
ejpam-6479	106	11	{	{	PUNCT
ejpam-6479	106	12	(	(	PUNCT
ejpam-6479	106	13	1	1	NUM
ejpam-6479	106	14	,	,	PUNCT
ejpam-6479	106	15	0.8839	0.8839	NUM
ejpam-6479	106	16	)	)	PUNCT
ejpam-6479	106	17	,	,	PUNCT
ejpam-6479	106	18	(	(	PUNCT
ejpam-6479	106	19	2	2	NUM
ejpam-6479	106	20	,	,	PUNCT
ejpam-6479	106	21	0.6903	0.6903	NUM
ejpam-6479	106	22	)	)	PUNCT
ejpam-6479	106	23	,	,	PUNCT
ejpam-6479	106	24	(	(	PUNCT
ejpam-6479	106	25	3	3	NUM
ejpam-6479	106	26	,	,	PUNCT
ejpam-6479	106	27	0.4950	0.4950	NUM
ejpam-6479	106	28	)	)	PUNCT
ejpam-6479	106	29	,	,	PUNCT
ejpam-6479	106	30	(	(	PUNCT
ejpam-6479	106	31	4	4	NUM
ejpam-6479	106	32	,	,	PUNCT
ejpam-6479	106	33	0.3968	0.3968	NUM
ejpam-6479	106	34	)	)	PUNCT
ejpam-6479	106	35	,	,	PUNCT
ejpam-6479	106	36	(	(	PUNCT
ejpam-6479	106	37	5	5	NUM
ejpam-6479	106	38	,	,	PUNCT
ejpam-6479	106	39	0.2982	0.2982	NUM
ejpam-6479	106	40	)	)	PUNCT
ejpam-6479	106	41	}	}	PUNCT
ejpam-6479	106	42	.	.	PUNCT
ejpam-6479	107	1	definition	definition	NOUN
ejpam-6479	107	2	4	4	NUM
ejpam-6479	107	3	.	.	PUNCT
ejpam-6479	108	1	[	[	X
ejpam-6479	108	2	19	19	NUM
ejpam-6479	108	3	]	]	PUNCT
ejpam-6479	108	4	consider	consider	VERB
ejpam-6479	108	5	two	two	NUM
ejpam-6479	108	6	exponential	exponential	ADJ
ejpam-6479	108	7	fuzzy	fuzzy	ADJ
ejpam-6479	108	8	sets	set	NOUN
ejpam-6479	108	9	on	on	ADP
ejpam-6479	108	10	g	g	NOUN
ejpam-6479	108	11	with	with	ADP
ejpam-6479	108	12	grade	grade	NOUN
ejpam-6479	108	13	values	value	NOUN
ejpam-6479	108	14	ea	ea	NOUN
ejpam-6479	108	15	and	and	CCONJ
ejpam-6479	108	16	eb	eb	PROPN
ejpam-6479	108	17	.	.	PUNCT
ejpam-6479	109	1	their	their	PRON
ejpam-6479	109	2	values	value	NOUN
ejpam-6479	109	3	are	be	AUX
ejpam-6479	109	4	determined	determine	VERB
ejpam-6479	109	5	by	by	ADP
ejpam-6479	109	6	:	:	PUNCT
ejpam-6479	109	7	ϑea(w	ϑea(w	NOUN
ejpam-6479	109	8	)	)	PUNCT
ejpam-6479	109	9	=	=	PUNCT
ejpam-6479	110	1	ϑv1(w)e	ϑv1(w)e	PROPN
ejpam-6479	110	2	−λϑv1	−λϑv1	PROPN
ejpam-6479	110	3	(	(	PUNCT
ejpam-6479	110	4	w	w	NOUN
ejpam-6479	110	5	)	)	PUNCT
ejpam-6479	110	6	,	,	PUNCT
ejpam-6479	110	7	ϑeb(w	ϑeb(w	PROPN
ejpam-6479	110	8	)	)	PUNCT
ejpam-6479	110	9	=	=	SYM
ejpam-6479	111	1	ϑv2(w)e	ϑv2(w)e	ADJ
ejpam-6479	111	2	−λϑv2	−λϑv2	NOUN
ejpam-6479	111	3	(	(	PUNCT
ejpam-6479	111	4	w	w	NOUN
ejpam-6479	111	5	)	)	PUNCT
ejpam-6479	111	6	the	the	DET
ejpam-6479	111	7	following	follow	VERB
ejpam-6479	111	8	is	be	AUX
ejpam-6479	111	9	the	the	DET
ejpam-6479	111	10	definition	definition	NOUN
ejpam-6479	111	11	of	of	ADP
ejpam-6479	111	12	the	the	DET
ejpam-6479	111	13	intersection	intersection	NOUN
ejpam-6479	111	14	of	of	ADP
ejpam-6479	111	15	ea	ea	NOUN
ejpam-6479	111	16	and	and	CCONJ
ejpam-6479	111	17	eb	eb	PROPN
ejpam-6479	111	18	:	:	PUNCT
ejpam-6479	111	19	ϑea∩eb(w	ϑea∩eb(w	PROPN
ejpam-6479	111	20	)	)	PUNCT
ejpam-6479	112	1	=	=	SYM
ejpam-6479	112	2	min	min	NOUN
ejpam-6479	112	3	{	{	PUNCT
ejpam-6479	112	4	ϑea(w	ϑea(w	PROPN
ejpam-6479	112	5	)	)	PUNCT
ejpam-6479	112	6	,	,	PUNCT
ejpam-6479	112	7	ϑeb(w	ϑeb(w	PROPN
ejpam-6479	112	8	)	)	PUNCT
ejpam-6479	112	9	}	}	PUNCT
ejpam-6479	112	10	=	=	SYM
ejpam-6479	112	11	min	min	NOUN
ejpam-6479	112	12	{	{	PUNCT
ejpam-6479	112	13	ϑv1(w)e	ϑv1(w)e	PROPN
ejpam-6479	112	14	−λϑv1	−λϑv1	PROPN
ejpam-6479	112	15	(	(	PUNCT
ejpam-6479	112	16	w	w	NOUN
ejpam-6479	112	17	)	)	PUNCT
ejpam-6479	112	18	,	,	PUNCT
ejpam-6479	112	19	ϑv2(w)e	ϑv2(w)e	ADJ
ejpam-6479	112	20	−λϑv2	−λϑv2	NOUN
ejpam-6479	112	21	(	(	PUNCT
ejpam-6479	112	22	w	w	NOUN
ejpam-6479	112	23	)	)	PUNCT
ejpam-6479	112	24	}	}	PUNCT
ejpam-6479	112	25	likewise	likewise	ADV
ejpam-6479	112	26	,	,	PUNCT
ejpam-6479	112	27	ea	ea	PROPN
ejpam-6479	112	28	and	and	CCONJ
ejpam-6479	112	29	eb	eb	PROPN
ejpam-6479	112	30	have	have	VERB
ejpam-6479	112	31	an	an	DET
ejpam-6479	112	32	union	union	NOUN
ejpam-6479	112	33	that	that	PRON
ejpam-6479	112	34	is	be	AUX
ejpam-6479	112	35	defined	define	VERB
ejpam-6479	112	36	as	as	ADP
ejpam-6479	112	37	follows	follow	VERB
ejpam-6479	112	38	:	:	PUNCT
ejpam-6479	112	39	ϑea∪eb(w	ϑea∪eb(w	NOUN
ejpam-6479	112	40	)	)	PUNCT
ejpam-6479	113	1	=	=	SYM
ejpam-6479	113	2	max	max	X
ejpam-6479	113	3	{	{	PUNCT
ejpam-6479	113	4	ϑea(w	ϑea(w	PROPN
ejpam-6479	113	5	)	)	PUNCT
ejpam-6479	113	6	,	,	PUNCT
ejpam-6479	113	7	ϑeb(w	ϑeb(w	PROPN
ejpam-6479	113	8	)	)	PUNCT
ejpam-6479	113	9	}	}	PUNCT
ejpam-6479	113	10	=	=	SYM
ejpam-6479	113	11	max	max	X
ejpam-6479	113	12	{	{	PUNCT
ejpam-6479	113	13	ϑv1(w)e	ϑv1(w)e	PROPN
ejpam-6479	113	14	−λϑv1	−λϑv1	PROPN
ejpam-6479	113	15	(	(	PUNCT
ejpam-6479	113	16	w	w	NOUN
ejpam-6479	113	17	)	)	PUNCT
ejpam-6479	113	18	,	,	PUNCT
ejpam-6479	113	19	ϑv2(w)e	ϑv2(w)e	ADJ
ejpam-6479	113	20	−λϑv2	−λϑv2	NOUN
ejpam-6479	113	21	(	(	PUNCT
ejpam-6479	113	22	w	w	NOUN
ejpam-6479	113	23	)	)	PUNCT
ejpam-6479	113	24	}	}	PUNCT
ejpam-6479	113	25	w.	w.	PROPN
ejpam-6479	113	26	f.	f.	PROPN
ejpam-6479	113	27	al	al	PROPN
ejpam-6479	113	28	-	-	PUNCT
ejpam-6479	113	29	omeri	omeri	PROPN
ejpam-6479	113	30	et	et	PROPN
ejpam-6479	113	31	al	al	PROPN
ejpam-6479	113	32	.	.	PUNCT
ejpam-6479	113	33	/	/	SYM
ejpam-6479	113	34	eur	eur	PROPN
ejpam-6479	113	35	.	.	PUNCT
ejpam-6479	114	1	j.	j.	PROPN
ejpam-6479	114	2	pure	pure	PROPN
ejpam-6479	114	3	appl	appl	PROPN
ejpam-6479	114	4	.	.	PROPN
ejpam-6479	114	5	math	math	PROPN
ejpam-6479	114	6	,	,	PUNCT
ejpam-6479	114	7	18	18	NUM
ejpam-6479	114	8	(	(	PUNCT
ejpam-6479	114	9	3	3	NUM
ejpam-6479	114	10	)	)	PUNCT
ejpam-6479	114	11	(	(	PUNCT
ejpam-6479	114	12	2025	2025	NUM
ejpam-6479	114	13	)	)	PUNCT
ejpam-6479	114	14	,	,	PUNCT
ejpam-6479	114	15	6479	6479	NUM
ejpam-6479	114	16	6	6	NUM
ejpam-6479	114	17	of	of	ADP
ejpam-6479	114	18	28	28	NUM
ejpam-6479	114	19	3	3	NUM
ejpam-6479	114	20	.	.	PUNCT
ejpam-6479	114	21	main	main	ADJ
ejpam-6479	114	22	results	result	NOUN
ejpam-6479	114	23	definition	definition	NOUN
ejpam-6479	114	24	5	5	NUM
ejpam-6479	114	25	(	(	PUNCT
ejpam-6479	114	26	exponential	exponential	ADJ
ejpam-6479	114	27	fuzzy	fuzzy	ADJ
ejpam-6479	114	28	graph	graph	NOUN
ejpam-6479	114	29	)	)	PUNCT
ejpam-6479	114	30	.	.	PUNCT
ejpam-6479	115	1	let	let	VERB
ejpam-6479	115	2	v	v	PART
ejpam-6479	115	3	be	be	AUX
ejpam-6479	115	4	a	a	DET
ejpam-6479	115	5	non	non	ADJ
ejpam-6479	115	6	-	-	ADJ
ejpam-6479	115	7	empty	empty	ADJ
ejpam-6479	115	8	finite	finite	NOUN
ejpam-6479	115	9	set	set	NOUN
ejpam-6479	115	10	.	.	PUNCT
ejpam-6479	116	1	the	the	DET
ejpam-6479	116	2	exponential	exponential	ADJ
ejpam-6479	116	3	fuzzy	fuzzy	ADJ
ejpam-6479	116	4	graph	graph	NOUN
ejpam-6479	116	5	(	(	PUNCT
ejpam-6479	116	6	efg	efg	NOUN
ejpam-6479	116	7	)	)	PUNCT
ejpam-6479	116	8	is	be	AUX
ejpam-6479	116	9	denoted	denote	VERB
ejpam-6479	116	10	as	as	ADP
ejpam-6479	116	11	g	g	PROPN
ejpam-6479	116	12	=	=	PUNCT
ejpam-6479	116	13	(	(	PUNCT
ejpam-6479	116	14	ev	ev	INTJ
ejpam-6479	116	15	,	,	PUNCT
ejpam-6479	116	16	ee	ee	PROPN
ejpam-6479	116	17	)	)	PUNCT
ejpam-6479	116	18	,	,	PUNCT
ejpam-6479	116	19	where	where	SCONJ
ejpam-6479	116	20	:	:	PUNCT
ejpam-6479	116	21	ev	ev	X
ejpam-6479	116	22	=	=	SYM
ejpam-6479	116	23	{	{	PUNCT
ejpam-6479	116	24	(	(	PUNCT
ejpam-6479	116	25	w	w	NOUN
ejpam-6479	116	26	,	,	PUNCT
ejpam-6479	116	27	ϑv	ϑv	X
ejpam-6479	116	28	(	(	PUNCT
ejpam-6479	116	29	w	w	NOUN
ejpam-6479	116	30	)	)	PUNCT
ejpam-6479	116	31	)	)	PUNCT
ejpam-6479	117	1	|	|	ADV
ejpam-6479	117	2	w	w	PROPN
ejpam-6479	117	3	∈	∈	PROPN
ejpam-6479	117	4	v	v	NOUN
ejpam-6479	117	5	}	}	PUNCT
ejpam-6479	117	6	is	be	AUX
ejpam-6479	117	7	the	the	DET
ejpam-6479	117	8	exponential	exponential	ADJ
ejpam-6479	117	9	fuzzy	fuzzy	ADJ
ejpam-6479	117	10	vertex	vertex	NOUN
ejpam-6479	117	11	set	set	NOUN
ejpam-6479	117	12	,	,	PUNCT
ejpam-6479	117	13	with	with	ADP
ejpam-6479	117	14	ϑv	ϑv	NOUN
ejpam-6479	117	15	(	(	PUNCT
ejpam-6479	117	16	w	w	NOUN
ejpam-6479	117	17	)	)	PUNCT
ejpam-6479	117	18	=	=	SYM
ejpam-6479	117	19	αv	αv	X
ejpam-6479	117	20	(	(	PUNCT
ejpam-6479	117	21	w	w	NOUN
ejpam-6479	117	22	)	)	PUNCT
ejpam-6479	117	23	·	·	PUNCT
ejpam-6479	117	24	e−λαv	e−λαv	NOUN
ejpam-6479	117	25	(	(	PUNCT
ejpam-6479	117	26	w	w	NOUN
ejpam-6479	117	27	)	)	PUNCT
ejpam-6479	117	28	,	,	PUNCT
ejpam-6479	117	29	where	where	SCONJ
ejpam-6479	117	30	αv	αv	X
ejpam-6479	117	31	(	(	PUNCT
ejpam-6479	117	32	w	w	NOUN
ejpam-6479	117	33	)	)	PUNCT
ejpam-6479	117	34	∈	∈	PROPN
ejpam-6479	118	1	[	[	X
ejpam-6479	118	2	0	0	NUM
ejpam-6479	118	3	,	,	PUNCT
ejpam-6479	118	4	1	1	NUM
ejpam-6479	118	5	]	]	PUNCT
ejpam-6479	118	6	and	and	CCONJ
ejpam-6479	118	7	λ	λ	X
ejpam-6479	118	8	>	>	X
ejpam-6479	118	9	0	0	X
ejpam-6479	118	10	.	.	PUNCT
ejpam-6479	118	11	ee	ee	PROPN
ejpam-6479	118	12	=	=	PRON
ejpam-6479	118	13	{	{	PUNCT
ejpam-6479	118	14	(	(	PUNCT
ejpam-6479	118	15	(	(	PUNCT
ejpam-6479	118	16	r	r	NOUN
ejpam-6479	118	17	,	,	PUNCT
ejpam-6479	118	18	w	w	NOUN
ejpam-6479	118	19	)	)	PUNCT
ejpam-6479	118	20	,	,	PUNCT
ejpam-6479	118	21	ϑe(r	ϑe(r	X
ejpam-6479	118	22	,	,	PUNCT
ejpam-6479	118	23	w	w	NOUN
ejpam-6479	118	24	)	)	PUNCT
ejpam-6479	118	25	)	)	PUNCT
ejpam-6479	119	1	|	|	ADV
ejpam-6479	119	2	r	r	NOUN
ejpam-6479	119	3	,	,	PUNCT
ejpam-6479	119	4	w	w	PROPN
ejpam-6479	119	5	∈	∈	PROPN
ejpam-6479	119	6	v	v	NOUN
ejpam-6479	119	7	}	}	PUNCT
ejpam-6479	119	8	is	be	AUX
ejpam-6479	119	9	the	the	DET
ejpam-6479	119	10	exponential	exponential	ADJ
ejpam-6479	119	11	fuzzy	fuzzy	ADJ
ejpam-6479	119	12	edge	edge	NOUN
ejpam-6479	119	13	set	set	NOUN
ejpam-6479	119	14	,	,	PUNCT
ejpam-6479	119	15	with	with	ADP
ejpam-6479	119	16	ϑe(r	ϑe(r	NOUN
ejpam-6479	119	17	,	,	PUNCT
ejpam-6479	119	18	w	w	NOUN
ejpam-6479	119	19	)	)	PUNCT
ejpam-6479	119	20	=	=	SYM
ejpam-6479	119	21	αe(r	αe(r	X
ejpam-6479	119	22	,	,	PUNCT
ejpam-6479	119	23	w	w	NOUN
ejpam-6479	119	24	)	)	PUNCT
ejpam-6479	119	25	·	·	PUNCT
ejpam-6479	119	26	e−λαe(r	e−λαe(r	NUM
ejpam-6479	119	27	,	,	PUNCT
ejpam-6479	119	28	w	w	NOUN
ejpam-6479	119	29	)	)	PUNCT
ejpam-6479	119	30	,	,	PUNCT
ejpam-6479	119	31	where	where	SCONJ
ejpam-6479	119	32	αe(r	αe(r	NUM
ejpam-6479	119	33	,	,	PUNCT
ejpam-6479	119	34	w	w	NOUN
ejpam-6479	119	35	)	)	PUNCT
ejpam-6479	119	36	∈	∈	PROPN
ejpam-6479	120	1	[	[	X
ejpam-6479	120	2	0	0	NUM
ejpam-6479	120	3	,	,	PUNCT
ejpam-6479	120	4	1	1	NUM
ejpam-6479	120	5	]	]	PUNCT
ejpam-6479	120	6	.	.	PUNCT
ejpam-6479	121	1	the	the	DET
ejpam-6479	121	2	edge	edge	NOUN
ejpam-6479	121	3	membership	membership	NOUN
ejpam-6479	121	4	values	value	NOUN
ejpam-6479	121	5	must	must	AUX
ejpam-6479	121	6	satisfy	satisfy	VERB
ejpam-6479	121	7	the	the	DET
ejpam-6479	121	8	condition	condition	NOUN
ejpam-6479	121	9	:	:	PUNCT
ejpam-6479	121	10	ϑe(r	ϑe(r	X
ejpam-6479	121	11	,	,	PUNCT
ejpam-6479	121	12	w	w	NOUN
ejpam-6479	121	13	)	)	PUNCT
ejpam-6479	121	14	≤	≤	NUM
ejpam-6479	121	15	min	min	NOUN
ejpam-6479	121	16	{	{	PUNCT
ejpam-6479	121	17	ϑv	ϑv	X
ejpam-6479	121	18	(	(	PUNCT
ejpam-6479	121	19	r	r	NOUN
ejpam-6479	121	20	)	)	PUNCT
ejpam-6479	121	21	,	,	PUNCT
ejpam-6479	121	22	ϑv	ϑv	ADP
ejpam-6479	121	23	(	(	PUNCT
ejpam-6479	121	24	w	w	NOUN
ejpam-6479	121	25	)	)	PUNCT
ejpam-6479	121	26	}	}	PUNCT
ejpam-6479	121	27	,	,	PUNCT
ejpam-6479	121	28	∀r	∀r	NOUN
ejpam-6479	121	29	,	,	PUNCT
ejpam-6479	121	30	w	w	PROPN
ejpam-6479	121	31	∈	∈	PROPN
ejpam-6479	121	32	v.	v.	ADP
ejpam-6479	121	33	example	example	NOUN
ejpam-6479	121	34	2	2	NUM
ejpam-6479	121	35	.	.	X
ejpam-6479	121	36	consider	consider	VERB
ejpam-6479	121	37	the	the	DET
ejpam-6479	121	38	vertex	vertex	NOUN
ejpam-6479	121	39	set	set	VERB
ejpam-6479	121	40	v	v	NOUN
ejpam-6479	121	41	=	=	SYM
ejpam-6479	121	42	{	{	PUNCT
ejpam-6479	121	43	w1	w1	NOUN
ejpam-6479	121	44	,	,	PUNCT
ejpam-6479	121	45	w2	w2	NOUN
ejpam-6479	121	46	,	,	PUNCT
ejpam-6479	121	47	w3	w3	PROPN
ejpam-6479	121	48	}	}	PUNCT
ejpam-6479	121	49	with	with	ADP
ejpam-6479	121	50	αv	αv	NOUN
ejpam-6479	121	51	(	(	PUNCT
ejpam-6479	121	52	w1	w1	NOUN
ejpam-6479	121	53	)	)	PUNCT
ejpam-6479	121	54	=	=	SYM
ejpam-6479	121	55	0.8	0.8	NUM
ejpam-6479	121	56	,	,	PUNCT
ejpam-6479	121	57	αv	αv	ADP
ejpam-6479	121	58	(	(	PUNCT
ejpam-6479	121	59	w2	w2	NOUN
ejpam-6479	121	60	)	)	PUNCT
ejpam-6479	121	61	=	=	SYM
ejpam-6479	121	62	0.5	0.5	NUM
ejpam-6479	121	63	,	,	PUNCT
ejpam-6479	121	64	αv	αv	NOUN
ejpam-6479	121	65	(	(	PUNCT
ejpam-6479	121	66	w3	w3	PROPN
ejpam-6479	121	67	)	)	PUNCT
ejpam-6479	121	68	=	=	PUNCT
ejpam-6479	121	69	0.7	0.7	NUM
ejpam-6479	121	70	,	,	PUNCT
ejpam-6479	121	71	and	and	CCONJ
ejpam-6479	121	72	parameter	parameter	NOUN
ejpam-6479	121	73	λ	λ	X
ejpam-6479	121	74	=	=	NOUN
ejpam-6479	121	75	1	1	X
ejpam-6479	121	76	.	.	PUNCT
ejpam-6479	122	1	then	then	ADV
ejpam-6479	122	2	the	the	DET
ejpam-6479	122	3	vertex	vertex	NOUN
ejpam-6479	122	4	membership	membership	NOUN
ejpam-6479	122	5	values	value	NOUN
ejpam-6479	122	6	are	be	AUX
ejpam-6479	122	7	:	:	PUNCT
ejpam-6479	122	8	ϑv	ϑv	ADP
ejpam-6479	122	9	(	(	PUNCT
ejpam-6479	122	10	w1	w1	NOUN
ejpam-6479	122	11	)	)	PUNCT
ejpam-6479	122	12	=	=	NOUN
ejpam-6479	123	1	0.3594	0.3594	NUM
ejpam-6479	123	2	,	,	PUNCT
ejpam-6479	123	3	ϑv	ϑv	ADP
ejpam-6479	123	4	(	(	PUNCT
ejpam-6479	123	5	w2	w2	NOUN
ejpam-6479	123	6	)	)	PUNCT
ejpam-6479	123	7	=	=	PUNCT
ejpam-6479	124	1	0.3032	0.3032	NUM
ejpam-6479	124	2	,	,	PUNCT
ejpam-6479	124	3	ϑv	ϑv	ADP
ejpam-6479	124	4	(	(	PUNCT
ejpam-6479	124	5	w3	w3	PROPN
ejpam-6479	124	6	)	)	PUNCT
ejpam-6479	124	7	=	=	SYM
ejpam-6479	124	8	0.3476	0.3476	NUM
ejpam-6479	124	9	.	.	PUNCT
ejpam-6479	124	10	suppose	suppose	VERB
ejpam-6479	124	11	the	the	DET
ejpam-6479	124	12	edge	edge	NOUN
ejpam-6479	124	13	base	base	NOUN
ejpam-6479	124	14	membership	membership	NOUN
ejpam-6479	124	15	values	value	NOUN
ejpam-6479	124	16	are	be	AUX
ejpam-6479	124	17	:	:	PUNCT
ejpam-6479	124	18	αe(w1	αe(w1	NUM
ejpam-6479	124	19	,	,	PUNCT
ejpam-6479	124	20	w2	w2	NOUN
ejpam-6479	124	21	)	)	PUNCT
ejpam-6479	124	22	=	=	SYM
ejpam-6479	124	23	0.5	0.5	NUM
ejpam-6479	124	24	,	,	PUNCT
ejpam-6479	124	25	αe(w2	αe(w2	NOUN
ejpam-6479	124	26	,	,	PUNCT
ejpam-6479	124	27	w3	w3	PROPN
ejpam-6479	124	28	)	)	PUNCT
ejpam-6479	124	29	=	=	SYM
ejpam-6479	124	30	0.4	0.4	NUM
ejpam-6479	124	31	,	,	PUNCT
ejpam-6479	124	32	αe(w1	αe(w1	NOUN
ejpam-6479	124	33	,	,	PUNCT
ejpam-6479	124	34	w3	w3	PROPN
ejpam-6479	124	35	)	)	PUNCT
ejpam-6479	124	36	=	=	SYM
ejpam-6479	125	1	0.5	0.5	NUM
ejpam-6479	125	2	.	.	PUNCT
ejpam-6479	125	3	edge	edge	NOUN
ejpam-6479	125	4	memberships	membership	NOUN
ejpam-6479	125	5	are	be	AUX
ejpam-6479	125	6	:	:	PUNCT
ejpam-6479	125	7	ϑe(w1	ϑe(w1	ADJ
ejpam-6479	125	8	,	,	PUNCT
ejpam-6479	125	9	w2	w2	NOUN
ejpam-6479	125	10	)	)	PUNCT
ejpam-6479	125	11	=	=	PUNCT
ejpam-6479	126	1	0.3032	0.3032	NUM
ejpam-6479	126	2	,	,	PUNCT
ejpam-6479	126	3	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	126	4	,	,	PUNCT
ejpam-6479	126	5	w3	w3	PROPN
ejpam-6479	126	6	)	)	PUNCT
ejpam-6479	126	7	=	=	SYM
ejpam-6479	127	1	0.2681	0.2681	NUM
ejpam-6479	127	2	,	,	PUNCT
ejpam-6479	127	3	ϑe(w1	ϑe(w1	NOUN
ejpam-6479	127	4	,	,	PUNCT
ejpam-6479	127	5	w3	w3	PROPN
ejpam-6479	127	6	)	)	PUNCT
ejpam-6479	127	7	=	=	PUNCT
ejpam-6479	128	1	0.3032	0.3032	NUM
ejpam-6479	128	2	.	.	PUNCT
ejpam-6479	129	1	figure	figure	NOUN
ejpam-6479	129	2	1	1	NUM
ejpam-6479	129	3	:	:	PUNCT
ejpam-6479	129	4	exponential	exponential	ADJ
ejpam-6479	129	5	fuzzy	fuzzy	ADJ
ejpam-6479	129	6	graph	graph	NOUN
ejpam-6479	129	7	definition	definition	NOUN
ejpam-6479	129	8	6	6	NUM
ejpam-6479	129	9	(	(	PUNCT
ejpam-6479	129	10	degree	degree	NOUN
ejpam-6479	129	11	of	of	ADP
ejpam-6479	129	12	a	a	DET
ejpam-6479	129	13	vertex	vertex	NOUN
ejpam-6479	129	14	)	)	PUNCT
ejpam-6479	129	15	.	.	PUNCT
ejpam-6479	130	1	let	let	VERB
ejpam-6479	130	2	g	g	PROPN
ejpam-6479	130	3	=	=	SYM
ejpam-6479	130	4	(	(	PUNCT
ejpam-6479	130	5	ev	ev	INTJ
ejpam-6479	130	6	,	,	PUNCT
ejpam-6479	130	7	ee	ee	PROPN
ejpam-6479	130	8	)	)	PUNCT
ejpam-6479	130	9	is	be	AUX
ejpam-6479	130	10	a	a	DET
ejpam-6479	130	11	efg	efg	NOUN
ejpam-6479	130	12	,	,	PUNCT
ejpam-6479	130	13	the	the	DET
ejpam-6479	130	14	definition	definition	NOUN
ejpam-6479	130	15	for	for	ADP
ejpam-6479	130	16	degree	degree	NOUN
ejpam-6479	130	17	of	of	ADP
ejpam-6479	130	18	a	a	DET
ejpam-6479	130	19	vertex	vertex	NOUN
ejpam-6479	130	20	is	be	AUX
ejpam-6479	130	21	defined	define	VERB
ejpam-6479	130	22	as	as	ADP
ejpam-6479	130	23	:	:	PUNCT
ejpam-6479	130	24	degg(w	degg(w	ADJ
ejpam-6479	130	25	)	)	PUNCT
ejpam-6479	130	26	=	=	SYM
ejpam-6479	130	27	∑	∑	PUNCT
ejpam-6479	130	28	u∈v	u∈v	VERB
ejpam-6479	130	29	u̸=v	u̸=v	PROPN
ejpam-6479	130	30	ϑe(v	ϑe(v	NOUN
ejpam-6479	130	31	,	,	PUNCT
ejpam-6479	130	32	u	u	NOUN
ejpam-6479	130	33	)	)	PUNCT
ejpam-6479	130	34	=	=	SYM
ejpam-6479	130	35	∑	∑	PUNCT
ejpam-6479	130	36	u∈v	u∈v	VERB
ejpam-6479	130	37	u̸=v	u̸=v	PROPN
ejpam-6479	130	38	αe(v	αe(v	NOUN
ejpam-6479	130	39	,	,	PUNCT
ejpam-6479	130	40	u	u	NOUN
ejpam-6479	130	41	)	)	PUNCT
ejpam-6479	130	42	·	·	PUNCT
ejpam-6479	131	1	e−λαe(v	e−λαe(v	NUM
ejpam-6479	131	2	,	,	PUNCT
ejpam-6479	131	3	u	u	NOUN
ejpam-6479	131	4	)	)	PUNCT
ejpam-6479	131	5	.	.	PUNCT
ejpam-6479	131	6	example	example	NOUN
ejpam-6479	132	1	3	3	X
ejpam-6479	132	2	.	.	PUNCT
ejpam-6479	133	1	let	let	VERB
ejpam-6479	133	2	v	v	VERB
ejpam-6479	133	3	=	=	SYM
ejpam-6479	133	4	{	{	PUNCT
ejpam-6479	133	5	w1	w1	NOUN
ejpam-6479	133	6	,	,	PUNCT
ejpam-6479	133	7	w2	w2	NOUN
ejpam-6479	133	8	,	,	PUNCT
ejpam-6479	133	9	w3	w3	PROPN
ejpam-6479	133	10	}	}	PUNCT
ejpam-6479	133	11	be	be	AUX
ejpam-6479	133	12	a	a	DET
ejpam-6479	133	13	set	set	NOUN
ejpam-6479	133	14	of	of	ADP
ejpam-6479	133	15	vertices	vertex	NOUN
ejpam-6479	133	16	and	and	CCONJ
ejpam-6479	133	17	let	let	VERB
ejpam-6479	133	18	λ	λ	X
ejpam-6479	133	19	=	=	NOUN
ejpam-6479	133	20	2	2	X
ejpam-6479	133	21	.	.	PUNCT
ejpam-6479	134	1	let	let	VERB
ejpam-6479	134	2	the	the	DET
ejpam-6479	134	3	vertex	vertex	NOUN
ejpam-6479	134	4	strengths	strength	NOUN
ejpam-6479	134	5	αv	αv	ADP
ejpam-6479	134	6	(	(	PUNCT
ejpam-6479	134	7	wi	wi	PROPN
ejpam-6479	134	8	)	)	PUNCT
ejpam-6479	134	9	∈	∈	PROPN
ejpam-6479	135	1	[	[	X
ejpam-6479	135	2	0	0	NUM
ejpam-6479	135	3	,	,	PUNCT
ejpam-6479	135	4	1	1	NUM
ejpam-6479	135	5	]	]	PUNCT
ejpam-6479	135	6	be	be	AUX
ejpam-6479	135	7	given	give	VERB
ejpam-6479	135	8	as	as	ADP
ejpam-6479	135	9	:	:	PUNCT
ejpam-6479	135	10	αv	αv	NOUN
ejpam-6479	135	11	(	(	PUNCT
ejpam-6479	135	12	w1	w1	NOUN
ejpam-6479	135	13	)	)	PUNCT
ejpam-6479	135	14	=	=	SYM
ejpam-6479	135	15	0.8	0.8	NUM
ejpam-6479	135	16	,	,	PUNCT
ejpam-6479	135	17	αv	αv	ADP
ejpam-6479	135	18	(	(	PUNCT
ejpam-6479	135	19	w2	w2	NOUN
ejpam-6479	135	20	)	)	PUNCT
ejpam-6479	135	21	=	=	SYM
ejpam-6479	135	22	0.6	0.6	NUM
ejpam-6479	135	23	,	,	PUNCT
ejpam-6479	135	24	αv	αv	NOUN
ejpam-6479	135	25	(	(	PUNCT
ejpam-6479	135	26	w3	w3	PROPN
ejpam-6479	135	27	)	)	PUNCT
ejpam-6479	135	28	=	=	PUNCT
ejpam-6479	135	29	0.9	0.9	NUM
ejpam-6479	135	30	.	.	PUNCT
ejpam-6479	136	1	then	then	ADV
ejpam-6479	136	2	,	,	PUNCT
ejpam-6479	136	3	the	the	DET
ejpam-6479	136	4	exponential	exponential	ADJ
ejpam-6479	136	5	fuzzy	fuzzy	ADJ
ejpam-6479	136	6	membership	membership	NOUN
ejpam-6479	136	7	values	value	NOUN
ejpam-6479	136	8	are	be	AUX
ejpam-6479	136	9	:	:	PUNCT
ejpam-6479	136	10	ϑv	ϑv	ADP
ejpam-6479	136	11	(	(	PUNCT
ejpam-6479	136	12	w1	w1	NOUN
ejpam-6479	136	13	)	)	PUNCT
ejpam-6479	136	14	=	=	SYM
ejpam-6479	136	15	0.1615	0.1615	NUM
ejpam-6479	136	16	,	,	PUNCT
ejpam-6479	136	17	ϑv	ϑv	ADP
ejpam-6479	136	18	(	(	PUNCT
ejpam-6479	136	19	w2	w2	NOUN
ejpam-6479	136	20	)	)	PUNCT
ejpam-6479	136	21	=	=	PUNCT
ejpam-6479	136	22	0.1807	0.1807	NUM
ejpam-6479	136	23	,	,	PUNCT
ejpam-6479	136	24	ϑv	ϑv	ADP
ejpam-6479	136	25	(	(	PUNCT
ejpam-6479	136	26	w3	w3	PROPN
ejpam-6479	136	27	)	)	PUNCT
ejpam-6479	137	1	=	=	SYM
ejpam-6479	137	2	0.1488	0.1488	NUM
ejpam-6479	137	3	.	.	PUNCT
ejpam-6479	138	1	let	let	VERB
ejpam-6479	138	2	the	the	DET
ejpam-6479	138	3	edge	edge	NOUN
ejpam-6479	138	4	strengths	strength	NOUN
ejpam-6479	138	5	αe(r	αe(r	ADJ
ejpam-6479	138	6	,	,	PUNCT
ejpam-6479	138	7	w	w	NOUN
ejpam-6479	138	8	)	)	PUNCT
ejpam-6479	138	9	∈	∈	PROPN
ejpam-6479	139	1	[	[	X
ejpam-6479	139	2	0	0	NUM
ejpam-6479	139	3	,	,	PUNCT
ejpam-6479	139	4	1	1	NUM
ejpam-6479	139	5	]	]	PUNCT
ejpam-6479	139	6	be	be	AUX
ejpam-6479	139	7	:	:	PUNCT
ejpam-6479	139	8	αe(w1	αe(w1	NOUN
ejpam-6479	139	9	,	,	PUNCT
ejpam-6479	139	10	w2	w2	NOUN
ejpam-6479	139	11	)	)	PUNCT
ejpam-6479	139	12	=	=	SYM
ejpam-6479	139	13	0.5	0.5	NUM
ejpam-6479	139	14	,	,	PUNCT
ejpam-6479	139	15	αe(w1	αe(w1	NOUN
ejpam-6479	139	16	,	,	PUNCT
ejpam-6479	139	17	w3	w3	PROPN
ejpam-6479	139	18	)	)	PUNCT
ejpam-6479	139	19	=	=	SYM
ejpam-6479	139	20	0.6	0.6	NUM
ejpam-6479	139	21	,	,	PUNCT
ejpam-6479	139	22	αe(w2	αe(w2	NOUN
ejpam-6479	139	23	,	,	PUNCT
ejpam-6479	139	24	w3	w3	PROPN
ejpam-6479	139	25	)	)	PUNCT
ejpam-6479	139	26	=	=	PUNCT
ejpam-6479	140	1	0.4	0.4	NUM
ejpam-6479	140	2	.	.	PUNCT
ejpam-6479	141	1	then	then	ADV
ejpam-6479	141	2	the	the	DET
ejpam-6479	141	3	exponential	exponential	ADJ
ejpam-6479	141	4	fuzzy	fuzzy	ADJ
ejpam-6479	141	5	edge	edge	NOUN
ejpam-6479	141	6	memberships	membership	NOUN
ejpam-6479	141	7	are	be	AUX
ejpam-6479	141	8	:	:	PUNCT
ejpam-6479	141	9	w.	w.	PROPN
ejpam-6479	141	10	f.	f.	PROPN
ejpam-6479	141	11	al	al	PROPN
ejpam-6479	141	12	-	-	PUNCT
ejpam-6479	141	13	omeri	omeri	PROPN
ejpam-6479	141	14	et	et	PROPN
ejpam-6479	141	15	al	al	PROPN
ejpam-6479	141	16	.	.	PUNCT
ejpam-6479	141	17	/	/	SYM
ejpam-6479	141	18	eur	eur	PROPN
ejpam-6479	141	19	.	.	PUNCT
ejpam-6479	142	1	j.	j.	PROPN
ejpam-6479	142	2	pure	pure	PROPN
ejpam-6479	142	3	appl	appl	PROPN
ejpam-6479	142	4	.	.	PROPN
ejpam-6479	142	5	math	math	PROPN
ejpam-6479	142	6	,	,	PUNCT
ejpam-6479	142	7	18	18	NUM
ejpam-6479	142	8	(	(	PUNCT
ejpam-6479	142	9	3	3	NUM
ejpam-6479	142	10	)	)	PUNCT
ejpam-6479	142	11	(	(	PUNCT
ejpam-6479	142	12	2025	2025	NUM
ejpam-6479	142	13	)	)	PUNCT
ejpam-6479	142	14	,	,	PUNCT
ejpam-6479	142	15	6479	6479	NUM
ejpam-6479	142	16	7	7	NUM
ejpam-6479	142	17	of	of	ADP
ejpam-6479	142	18	28	28	NUM
ejpam-6479	142	19	ϑe(w1	ϑe(w1	NOUN
ejpam-6479	142	20	,	,	PUNCT
ejpam-6479	142	21	w2	w2	NOUN
ejpam-6479	142	22	)	)	PUNCT
ejpam-6479	142	23	=	=	SYM
ejpam-6479	142	24	0.1839	0.1839	NUM
ejpam-6479	142	25	,	,	PUNCT
ejpam-6479	142	26	ϑe(w1	ϑe(w1	NOUN
ejpam-6479	142	27	,	,	PUNCT
ejpam-6479	142	28	w3	w3	PROPN
ejpam-6479	142	29	)	)	PUNCT
ejpam-6479	142	30	=	=	SYM
ejpam-6479	142	31	0.1807	0.1807	NUM
ejpam-6479	142	32	,	,	PUNCT
ejpam-6479	142	33	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	142	34	,	,	PUNCT
ejpam-6479	142	35	w3	w3	PROPN
ejpam-6479	142	36	)	)	PUNCT
ejpam-6479	142	37	=	=	PUNCT
ejpam-6479	143	1	0.1797	0.1797	NUM
ejpam-6479	143	2	.	.	PUNCT
ejpam-6479	144	1	now	now	ADV
ejpam-6479	144	2	,	,	PUNCT
ejpam-6479	144	3	we	we	PRON
ejpam-6479	144	4	compute	compute	VERB
ejpam-6479	144	5	the	the	DET
ejpam-6479	144	6	degree	degree	NOUN
ejpam-6479	144	7	of	of	ADP
ejpam-6479	144	8	each	each	DET
ejpam-6479	144	9	vertex	vertex	NOUN
ejpam-6479	144	10	:	:	PUNCT
ejpam-6479	144	11	degg(w1	degg(w1	NOUN
ejpam-6479	144	12	)	)	PUNCT
ejpam-6479	144	13	=	=	SYM
ejpam-6479	144	14	ϑe(w1	ϑe(w1	X
ejpam-6479	144	15	,	,	PUNCT
ejpam-6479	144	16	w2	w2	NOUN
ejpam-6479	144	17	)	)	PUNCT
ejpam-6479	144	18	+	+	CCONJ
ejpam-6479	144	19	ϑe(w1	ϑe(w1	X
ejpam-6479	144	20	,	,	PUNCT
ejpam-6479	144	21	w3	w3	PROPN
ejpam-6479	144	22	)	)	PUNCT
ejpam-6479	144	23	=	=	PUNCT
ejpam-6479	145	1	0.1839	0.1839	NUM
ejpam-6479	145	2	+	+	NUM
ejpam-6479	145	3	0.1807	0.1807	NUM
ejpam-6479	145	4	=	=	SYM
ejpam-6479	145	5	0.3646	0.3646	NUM
ejpam-6479	145	6	,	,	PUNCT
ejpam-6479	145	7	degg(w2	degg(w2	NOUN
ejpam-6479	145	8	)	)	PUNCT
ejpam-6479	145	9	=	=	SYM
ejpam-6479	145	10	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	145	11	,	,	PUNCT
ejpam-6479	145	12	w1	w1	NOUN
ejpam-6479	145	13	)	)	PUNCT
ejpam-6479	145	14	+	+	CCONJ
ejpam-6479	145	15	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	145	16	,	,	PUNCT
ejpam-6479	145	17	w3	w3	PROPN
ejpam-6479	145	18	)	)	PUNCT
ejpam-6479	146	1	=	=	PUNCT
ejpam-6479	147	1	0.1839	0.1839	NUM
ejpam-6479	147	2	+	+	PUNCT
ejpam-6479	147	3	0.1797	0.1797	NUM
ejpam-6479	147	4	=	=	SYM
ejpam-6479	147	5	0.3636	0.3636	NUM
ejpam-6479	147	6	,	,	PUNCT
ejpam-6479	147	7	degg(w3	degg(w3	ADJ
ejpam-6479	147	8	)	)	PUNCT
ejpam-6479	147	9	=	=	SYM
ejpam-6479	147	10	ϑe(w3	ϑe(w3	PROPN
ejpam-6479	147	11	,	,	PUNCT
ejpam-6479	147	12	w1	w1	NOUN
ejpam-6479	147	13	)	)	PUNCT
ejpam-6479	147	14	+	+	CCONJ
ejpam-6479	147	15	ϑe(w3	ϑe(w3	PROPN
ejpam-6479	147	16	,	,	PUNCT
ejpam-6479	147	17	w2	w2	NOUN
ejpam-6479	147	18	)	)	PUNCT
ejpam-6479	147	19	=	=	PUNCT
ejpam-6479	148	1	0.1807	0.1807	NUM
ejpam-6479	148	2	+	+	CCONJ
ejpam-6479	148	3	0.1797	0.1797	NUM
ejpam-6479	148	4	=	=	SYM
ejpam-6479	148	5	0.3604	0.3604	NUM
ejpam-6479	148	6	.	.	PUNCT
ejpam-6479	149	1	figure	figure	NOUN
ejpam-6479	149	2	2	2	NUM
ejpam-6479	149	3	:	:	PUNCT
ejpam-6479	149	4	exponential	exponential	ADJ
ejpam-6479	149	5	fuzzy	fuzzy	ADJ
ejpam-6479	149	6	graph	graph	NOUN
ejpam-6479	149	7	definition	definition	NOUN
ejpam-6479	149	8	7	7	NUM
ejpam-6479	149	9	(	(	PUNCT
ejpam-6479	149	10	order	order	NOUN
ejpam-6479	149	11	)	)	PUNCT
ejpam-6479	149	12	.	.	PUNCT
ejpam-6479	150	1	let	let	VERB
ejpam-6479	150	2	g	g	PROPN
ejpam-6479	150	3	=	=	SYM
ejpam-6479	150	4	(	(	PUNCT
ejpam-6479	150	5	ev	ev	INTJ
ejpam-6479	150	6	,	,	PUNCT
ejpam-6479	150	7	ee	ee	PROPN
ejpam-6479	150	8	)	)	PUNCT
ejpam-6479	150	9	be	be	AUX
ejpam-6479	150	10	an	an	DET
ejpam-6479	150	11	exponential	exponential	ADJ
ejpam-6479	150	12	fuzzy	fuzzy	ADJ
ejpam-6479	150	13	graph	graph	NOUN
ejpam-6479	150	14	with	with	ADP
ejpam-6479	150	15	vertex	vertex	NOUN
ejpam-6479	150	16	membership	membership	NOUN
ejpam-6479	150	17	function	function	NOUN
ejpam-6479	150	18	ϑv	ϑv	NOUN
ejpam-6479	150	19	:	:	PUNCT
ejpam-6479	150	20	v	v	X
ejpam-6479	150	21	→	→	SYM
ejpam-6479	150	22	[	[	X
ejpam-6479	150	23	0	0	NUM
ejpam-6479	150	24	,	,	PUNCT
ejpam-6479	150	25	1	1	NUM
ejpam-6479	150	26	]	]	PUNCT
ejpam-6479	150	27	defined	define	VERB
ejpam-6479	150	28	by	by	ADP
ejpam-6479	150	29	ϑv	ϑv	NOUN
ejpam-6479	150	30	(	(	PUNCT
ejpam-6479	150	31	w	w	NOUN
ejpam-6479	150	32	)	)	PUNCT
ejpam-6479	150	33	=	=	SYM
ejpam-6479	150	34	αv	αv	NOUN
ejpam-6479	150	35	(	(	PUNCT
ejpam-6479	150	36	w)e	w)e	ADJ
ejpam-6479	150	37	−λαv	−λαv	ADJ
ejpam-6479	150	38	(	(	PUNCT
ejpam-6479	150	39	w	w	NOUN
ejpam-6479	150	40	)	)	PUNCT
ejpam-6479	150	41	,	,	PUNCT
ejpam-6479	150	42	where	where	SCONJ
ejpam-6479	150	43	αv	αv	X
ejpam-6479	150	44	(	(	PUNCT
ejpam-6479	150	45	w	w	NOUN
ejpam-6479	150	46	)	)	PUNCT
ejpam-6479	150	47	∈	∈	PROPN
ejpam-6479	151	1	[	[	X
ejpam-6479	151	2	0	0	NUM
ejpam-6479	151	3	,	,	PUNCT
ejpam-6479	151	4	1	1	NUM
ejpam-6479	151	5	]	]	PUNCT
ejpam-6479	151	6	is	be	AUX
ejpam-6479	151	7	the	the	DET
ejpam-6479	151	8	base	base	ADJ
ejpam-6479	151	9	membership	membership	NOUN
ejpam-6479	151	10	of	of	ADP
ejpam-6479	151	11	vertex	vertex	NOUN
ejpam-6479	151	12	w	w	PROPN
ejpam-6479	151	13	∈	∈	PROPN
ejpam-6479	151	14	v	v	NOUN
ejpam-6479	151	15	and	and	CCONJ
ejpam-6479	151	16	λ	λ	X
ejpam-6479	151	17	>	>	X
ejpam-6479	151	18	0	0	PUNCT
ejpam-6479	151	19	is	be	AUX
ejpam-6479	151	20	a	a	DET
ejpam-6479	151	21	fixed	fix	VERB
ejpam-6479	151	22	parameter	parameter	NOUN
ejpam-6479	151	23	.	.	PUNCT
ejpam-6479	152	1	the	the	DET
ejpam-6479	152	2	order	order	NOUN
ejpam-6479	152	3	of	of	ADP
ejpam-6479	152	4	g	g	NOUN
ejpam-6479	152	5	,	,	PUNCT
ejpam-6479	152	6	denoted	denote	VERB
ejpam-6479	152	7	|g|	|g|	ADJ
ejpam-6479	152	8	,	,	PUNCT
ejpam-6479	152	9	is	be	AUX
ejpam-6479	152	10	given	give	VERB
ejpam-6479	152	11	by	by	ADP
ejpam-6479	152	12	|g|	|g|	PROPN
ejpam-6479	152	13	=	=	SYM
ejpam-6479	152	14	∑	∑	PROPN
ejpam-6479	152	15	w∈v	w∈v	PROPN
ejpam-6479	152	16	ϑv	ϑv	PROPN
ejpam-6479	152	17	(	(	PUNCT
ejpam-6479	152	18	w	w	NOUN
ejpam-6479	152	19	)	)	PUNCT
ejpam-6479	152	20	=	=	PUNCT
ejpam-6479	152	21	∑	∑	PROPN
ejpam-6479	152	22	w∈v	w∈v	PROPN
ejpam-6479	152	23	αv	αv	PROPN
ejpam-6479	152	24	(	(	PUNCT
ejpam-6479	152	25	w)e	w)e	ADJ
ejpam-6479	152	26	−λαv	−λαv	ADJ
ejpam-6479	152	27	(	(	PUNCT
ejpam-6479	152	28	w	w	NOUN
ejpam-6479	152	29	)	)	PUNCT
ejpam-6479	152	30	.	.	PUNCT
ejpam-6479	153	1	definition	definition	NOUN
ejpam-6479	153	2	8	8	NUM
ejpam-6479	153	3	(	(	PUNCT
ejpam-6479	153	4	size	size	NOUN
ejpam-6479	153	5	)	)	PUNCT
ejpam-6479	153	6	.	.	PUNCT
ejpam-6479	154	1	let	let	VERB
ejpam-6479	154	2	ϑe	ϑe	VERB
ejpam-6479	154	3	:	:	PUNCT
ejpam-6479	154	4	e	e	X
ejpam-6479	154	5	→	→	SYM
ejpam-6479	154	6	[	[	X
ejpam-6479	154	7	0	0	NUM
ejpam-6479	154	8	,	,	PUNCT
ejpam-6479	154	9	1	1	NUM
ejpam-6479	154	10	]	]	PUNCT
ejpam-6479	154	11	be	be	AUX
ejpam-6479	154	12	the	the	DET
ejpam-6479	154	13	edge	edge	NOUN
ejpam-6479	154	14	membership	membership	NOUN
ejpam-6479	154	15	function	function	NOUN
ejpam-6479	154	16	defined	define	VERB
ejpam-6479	154	17	by	by	ADP
ejpam-6479	154	18	ϑe(r	ϑe(r	NOUN
ejpam-6479	154	19	,	,	PUNCT
ejpam-6479	154	20	w	w	NOUN
ejpam-6479	154	21	)	)	PUNCT
ejpam-6479	154	22	=	=	SYM
ejpam-6479	154	23	αe(r	αe(r	NOUN
ejpam-6479	154	24	,	,	PUNCT
ejpam-6479	154	25	w)e	w)e	ADJ
ejpam-6479	154	26	−λαe(r	−λαe(r	PROPN
ejpam-6479	154	27	,	,	PUNCT
ejpam-6479	154	28	w	w	NOUN
ejpam-6479	154	29	)	)	PUNCT
ejpam-6479	154	30	,	,	PUNCT
ejpam-6479	154	31	where	where	SCONJ
ejpam-6479	154	32	αe(r	αe(r	NUM
ejpam-6479	154	33	,	,	PUNCT
ejpam-6479	154	34	w	w	NOUN
ejpam-6479	154	35	)	)	PUNCT
ejpam-6479	154	36	∈	∈	PROPN
ejpam-6479	155	1	[	[	X
ejpam-6479	155	2	0	0	NUM
ejpam-6479	155	3	,	,	PUNCT
ejpam-6479	155	4	1	1	NUM
ejpam-6479	155	5	]	]	PUNCT
ejpam-6479	155	6	is	be	AUX
ejpam-6479	155	7	the	the	DET
ejpam-6479	155	8	base	base	ADJ
ejpam-6479	155	9	membership	membership	NOUN
ejpam-6479	155	10	of	of	ADP
ejpam-6479	155	11	edge	edge	NOUN
ejpam-6479	155	12	(	(	PUNCT
ejpam-6479	155	13	r	r	NOUN
ejpam-6479	155	14	,	,	PUNCT
ejpam-6479	155	15	w	w	NOUN
ejpam-6479	155	16	)	)	PUNCT
ejpam-6479	155	17	∈	∈	PROPN
ejpam-6479	155	18	e.	e.	PROPN
ejpam-6479	156	1	the	the	DET
ejpam-6479	156	2	size	size	NOUN
ejpam-6479	156	3	of	of	ADP
ejpam-6479	156	4	g	g	NOUN
ejpam-6479	156	5	,	,	PUNCT
ejpam-6479	156	6	denoted	denote	VERB
ejpam-6479	156	7	∥g∥	∥g∥	PROPN
ejpam-6479	156	8	,	,	PUNCT
ejpam-6479	156	9	is	be	AUX
ejpam-6479	156	10	given	give	VERB
ejpam-6479	156	11	by	by	ADP
ejpam-6479	156	12	∥g∥	∥g∥	PROPN
ejpam-6479	156	13	=	=	SYM
ejpam-6479	156	14	∑	∑	PUNCT
ejpam-6479	156	15	(	(	PUNCT
ejpam-6479	156	16	r	r	NOUN
ejpam-6479	156	17	,	,	PUNCT
ejpam-6479	156	18	w)∈e	w)∈e	X
ejpam-6479	156	19	ϑe(r	ϑe(r	X
ejpam-6479	156	20	,	,	PUNCT
ejpam-6479	156	21	w	w	NOUN
ejpam-6479	156	22	)	)	PUNCT
ejpam-6479	156	23	=	=	SYM
ejpam-6479	157	1	∑	∑	PUNCT
ejpam-6479	157	2	(	(	PUNCT
ejpam-6479	157	3	r	r	NOUN
ejpam-6479	157	4	,	,	PUNCT
ejpam-6479	157	5	w)∈e	w)∈e	NOUN
ejpam-6479	157	6	αe(r	αe(r	NUM
ejpam-6479	157	7	,	,	PUNCT
ejpam-6479	157	8	w)e	w)e	X
ejpam-6479	157	9	−λαe(r	−λαe(r	PROPN
ejpam-6479	157	10	,	,	PUNCT
ejpam-6479	157	11	w	w	NOUN
ejpam-6479	157	12	)	)	PUNCT
ejpam-6479	157	13	.	.	PUNCT
ejpam-6479	158	1	example	example	NOUN
ejpam-6479	159	1	4	4	X
ejpam-6479	159	2	.	.	PUNCT
ejpam-6479	159	3	consider	consider	VERB
ejpam-6479	159	4	the	the	DET
ejpam-6479	159	5	exponential	exponential	ADJ
ejpam-6479	159	6	fuzzy	fuzzy	ADJ
ejpam-6479	159	7	graph	graph	NOUN
ejpam-6479	159	8	g	g	PROPN
ejpam-6479	159	9	=	=	PUNCT
ejpam-6479	159	10	(	(	PUNCT
ejpam-6479	159	11	ev	ev	INTJ
ejpam-6479	159	12	,	,	PUNCT
ejpam-6479	159	13	ee	ee	PROPN
ejpam-6479	159	14	)	)	PUNCT
ejpam-6479	159	15	where	where	SCONJ
ejpam-6479	159	16	v	v	NOUN
ejpam-6479	159	17	=	=	SYM
ejpam-6479	159	18	{	{	PUNCT
ejpam-6479	159	19	w1	w1	NOUN
ejpam-6479	159	20	,	,	PUNCT
ejpam-6479	159	21	w2	w2	NOUN
ejpam-6479	159	22	,	,	PUNCT
ejpam-6479	159	23	w3	w3	PROPN
ejpam-6479	159	24	}	}	PUNCT
ejpam-6479	159	25	,	,	PUNCT
ejpam-6479	159	26	e	e	X
ejpam-6479	159	27	=	=	PRON
ejpam-6479	159	28	{	{	PUNCT
ejpam-6479	159	29	(	(	PUNCT
ejpam-6479	159	30	w1	w1	NOUN
ejpam-6479	159	31	,	,	PUNCT
ejpam-6479	159	32	w2	w2	NOUN
ejpam-6479	159	33	)	)	PUNCT
ejpam-6479	159	34	,	,	PUNCT
ejpam-6479	159	35	(	(	PUNCT
ejpam-6479	159	36	w2	w2	NOUN
ejpam-6479	159	37	,	,	PUNCT
ejpam-6479	159	38	w3	w3	PROPN
ejpam-6479	159	39	)	)	PUNCT
ejpam-6479	159	40	}	}	PUNCT
ejpam-6479	159	41	,	,	PUNCT
ejpam-6479	159	42	with	with	ADP
ejpam-6479	159	43	λ	λ	PROPN
ejpam-6479	159	44	=	=	NOUN
ejpam-6479	159	45	1	1	X
ejpam-6479	159	46	.	.	PUNCT
ejpam-6479	160	1	the	the	DET
ejpam-6479	160	2	base	base	ADJ
ejpam-6479	160	3	vertex	vertex	NOUN
ejpam-6479	160	4	memberships	membership	NOUN
ejpam-6479	160	5	are	be	AUX
ejpam-6479	160	6	:	:	PUNCT
ejpam-6479	160	7	αv	αv	X
ejpam-6479	160	8	(	(	PUNCT
ejpam-6479	160	9	w1	w1	NOUN
ejpam-6479	160	10	)	)	PUNCT
ejpam-6479	160	11	=	=	SYM
ejpam-6479	160	12	0.7	0.7	NUM
ejpam-6479	160	13	,	,	PUNCT
ejpam-6479	160	14	αv	αv	ADP
ejpam-6479	160	15	(	(	PUNCT
ejpam-6479	160	16	w2	w2	NOUN
ejpam-6479	160	17	)	)	PUNCT
ejpam-6479	160	18	=	=	SYM
ejpam-6479	160	19	0.5	0.5	NUM
ejpam-6479	160	20	,	,	PUNCT
ejpam-6479	160	21	αv	αv	NOUN
ejpam-6479	160	22	(	(	PUNCT
ejpam-6479	160	23	w3	w3	PROPN
ejpam-6479	160	24	)	)	PUNCT
ejpam-6479	160	25	=	=	PUNCT
ejpam-6479	160	26	0.8	0.8	NUM
ejpam-6479	160	27	,	,	PUNCT
ejpam-6479	160	28	and	and	CCONJ
ejpam-6479	160	29	the	the	DET
ejpam-6479	160	30	base	base	NOUN
ejpam-6479	160	31	edge	edge	NOUN
ejpam-6479	160	32	memberships	membership	NOUN
ejpam-6479	160	33	are	be	AUX
ejpam-6479	160	34	:	:	PUNCT
ejpam-6479	160	35	αe(w1	αe(w1	NUM
ejpam-6479	160	36	,	,	PUNCT
ejpam-6479	160	37	w2	w2	NOUN
ejpam-6479	160	38	)	)	PUNCT
ejpam-6479	160	39	=	=	SYM
ejpam-6479	160	40	0.5	0.5	NUM
ejpam-6479	160	41	,	,	PUNCT
ejpam-6479	160	42	αe(w2	αe(w2	NOUN
ejpam-6479	160	43	,	,	PUNCT
ejpam-6479	160	44	w3	w3	PROPN
ejpam-6479	160	45	)	)	PUNCT
ejpam-6479	160	46	=	=	PUNCT
ejpam-6479	161	1	0.4	0.4	NUM
ejpam-6479	161	2	.	.	PUNCT
ejpam-6479	162	1	compute	compute	ADJ
ejpam-6479	162	2	vertex	vertex	NOUN
ejpam-6479	162	3	memberships	membership	NOUN
ejpam-6479	162	4	:	:	PUNCT
ejpam-6479	162	5	ϑv	ϑv	ADP
ejpam-6479	162	6	(	(	PUNCT
ejpam-6479	162	7	w1	w1	NOUN
ejpam-6479	162	8	)	)	PUNCT
ejpam-6479	162	9	=	=	SYM
ejpam-6479	162	10	0.3476	0.3476	NUM
ejpam-6479	162	11	,	,	PUNCT
ejpam-6479	162	12	ϑv	ϑv	ADP
ejpam-6479	162	13	(	(	PUNCT
ejpam-6479	162	14	w2	w2	NOUN
ejpam-6479	162	15	)	)	PUNCT
ejpam-6479	162	16	=	=	PUNCT
ejpam-6479	163	1	0.3032	0.3032	NUM
ejpam-6479	163	2	,	,	PUNCT
ejpam-6479	163	3	ϑv	ϑv	ADP
ejpam-6479	163	4	(	(	PUNCT
ejpam-6479	163	5	w3	w3	PROPN
ejpam-6479	163	6	)	)	PUNCT
ejpam-6479	163	7	=	=	NOUN
ejpam-6479	164	1	0.3594	0.3594	NUM
ejpam-6479	164	2	.	.	PUNCT
ejpam-6479	165	1	order	order	NOUN
ejpam-6479	165	2	of	of	ADP
ejpam-6479	165	3	g	g	NOUN
ejpam-6479	165	4	:	:	PUNCT
ejpam-6479	165	5	|g|	|g|	PROPN
ejpam-6479	165	6	=	=	SYM
ejpam-6479	165	7	0.3476	0.3476	NUM
ejpam-6479	166	1	+	+	NUM
ejpam-6479	166	2	0.3032	0.3032	NUM
ejpam-6479	166	3	+	+	NUM
ejpam-6479	166	4	0.3594	0.3594	NUM
ejpam-6479	166	5	=	=	SYM
ejpam-6479	166	6	1.0103	1.0103	NUM
ejpam-6479	166	7	.	.	PUNCT
ejpam-6479	167	1	w.	w.	PROPN
ejpam-6479	167	2	f.	f.	PROPN
ejpam-6479	167	3	al	al	PROPN
ejpam-6479	167	4	-	-	PUNCT
ejpam-6479	167	5	omeri	omeri	PROPN
ejpam-6479	167	6	et	et	PROPN
ejpam-6479	167	7	al	al	PROPN
ejpam-6479	167	8	.	.	PUNCT
ejpam-6479	167	9	/	/	SYM
ejpam-6479	167	10	eur	eur	PROPN
ejpam-6479	167	11	.	.	PUNCT
ejpam-6479	168	1	j.	j.	PROPN
ejpam-6479	168	2	pure	pure	PROPN
ejpam-6479	168	3	appl	appl	PROPN
ejpam-6479	168	4	.	.	PROPN
ejpam-6479	168	5	math	math	PROPN
ejpam-6479	168	6	,	,	PUNCT
ejpam-6479	168	7	18	18	NUM
ejpam-6479	168	8	(	(	PUNCT
ejpam-6479	168	9	3	3	NUM
ejpam-6479	168	10	)	)	PUNCT
ejpam-6479	168	11	(	(	PUNCT
ejpam-6479	168	12	2025	2025	NUM
ejpam-6479	168	13	)	)	PUNCT
ejpam-6479	168	14	,	,	PUNCT
ejpam-6479	168	15	6479	6479	NUM
ejpam-6479	168	16	8	8	NUM
ejpam-6479	168	17	of	of	ADP
ejpam-6479	168	18	28	28	NUM
ejpam-6479	168	19	figure	figure	NOUN
ejpam-6479	168	20	3	3	NUM
ejpam-6479	168	21	:	:	PUNCT
ejpam-6479	168	22	order	order	NOUN
ejpam-6479	168	23	and	and	CCONJ
ejpam-6479	168	24	size	size	NOUN
ejpam-6479	168	25	of	of	ADP
ejpam-6479	168	26	exponential	exponential	ADJ
ejpam-6479	168	27	fuzzy	fuzzy	ADJ
ejpam-6479	168	28	graph	graph	NOUN
ejpam-6479	168	29	compute	compute	NOUN
ejpam-6479	168	30	edge	edge	NOUN
ejpam-6479	168	31	memberships	membership	NOUN
ejpam-6479	168	32	:	:	PUNCT
ejpam-6479	168	33	ϑe(w1	ϑe(w1	NOUN
ejpam-6479	168	34	,	,	PUNCT
ejpam-6479	168	35	w2	w2	NOUN
ejpam-6479	168	36	)	)	PUNCT
ejpam-6479	168	37	=	=	PUNCT
ejpam-6479	169	1	0.3032	0.3032	NUM
ejpam-6479	169	2	,	,	PUNCT
ejpam-6479	169	3	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	169	4	,	,	PUNCT
ejpam-6479	169	5	w3	w3	PROPN
ejpam-6479	169	6	)	)	PUNCT
ejpam-6479	169	7	=	=	PUNCT
ejpam-6479	170	1	0.2681	0.2681	NUM
ejpam-6479	170	2	.	.	PUNCT
ejpam-6479	170	3	size	size	NOUN
ejpam-6479	170	4	of	of	ADP
ejpam-6479	170	5	g	g	NOUN
ejpam-6479	170	6	:	:	PUNCT
ejpam-6479	170	7	∥g∥	∥g∥	X
ejpam-6479	170	8	=	=	SYM
ejpam-6479	171	1	0.3032	0.3032	NUM
ejpam-6479	171	2	+	+	NUM
ejpam-6479	171	3	0.2681	0.2681	NUM
ejpam-6479	171	4	=	=	SYM
ejpam-6479	171	5	0.5714	0.5714	NUM
ejpam-6479	171	6	.	.	PUNCT
ejpam-6479	172	1	definition	definition	NOUN
ejpam-6479	172	2	9	9	NUM
ejpam-6479	172	3	(	(	PUNCT
ejpam-6479	172	4	complete	complete	ADJ
ejpam-6479	172	5	)	)	PUNCT
ejpam-6479	172	6	.	.	PUNCT
ejpam-6479	173	1	let	let	VERB
ejpam-6479	173	2	v	v	VERB
ejpam-6479	173	3	=	=	SYM
ejpam-6479	173	4	{	{	PUNCT
ejpam-6479	173	5	w1	w1	NOUN
ejpam-6479	173	6	,	,	PUNCT
ejpam-6479	173	7	.	.	PUNCT
ejpam-6479	173	8	.	.	PUNCT
ejpam-6479	174	1	.	.	PUNCT
ejpam-6479	175	1	,	,	PUNCT
ejpam-6479	175	2	wn	wn	AUX
ejpam-6479	175	3	}	}	PUNCT
ejpam-6479	175	4	be	be	AUX
ejpam-6479	175	5	a	a	DET
ejpam-6479	175	6	finite	finite	ADJ
ejpam-6479	175	7	vertex	vertex	NOUN
ejpam-6479	175	8	set	set	NOUN
ejpam-6479	175	9	and	and	CCONJ
ejpam-6479	175	10	let	let	VERB
ejpam-6479	175	11	ϑv	ϑv	NOUN
ejpam-6479	175	12	(	(	PUNCT
ejpam-6479	175	13	w	w	NOUN
ejpam-6479	175	14	)	)	PUNCT
ejpam-6479	175	15	=	=	SYM
ejpam-6479	176	1	αv	αv	X
ejpam-6479	176	2	(	(	PUNCT
ejpam-6479	176	3	w	w	NOUN
ejpam-6479	176	4	)	)	PUNCT
ejpam-6479	176	5	e	e	NOUN
ejpam-6479	176	6	−λαv	−λαv	ADJ
ejpam-6479	176	7	(	(	PUNCT
ejpam-6479	176	8	w	w	NOUN
ejpam-6479	176	9	)	)	PUNCT
ejpam-6479	176	10	,	,	PUNCT
ejpam-6479	176	11	αv	αv	ADP
ejpam-6479	176	12	(	(	PUNCT
ejpam-6479	176	13	w	w	NOUN
ejpam-6479	176	14	)	)	PUNCT
ejpam-6479	176	15	∈	∈	PROPN
ejpam-6479	177	1	[	[	X
ejpam-6479	177	2	0	0	NUM
ejpam-6479	177	3	,	,	PUNCT
ejpam-6479	177	4	1	1	NUM
ejpam-6479	177	5	]	]	PUNCT
ejpam-6479	177	6	,	,	PUNCT
ejpam-6479	177	7	λ	λ	X
ejpam-6479	177	8	>	>	X
ejpam-6479	177	9	0	0	NUM
ejpam-6479	177	10	.	.	PUNCT
ejpam-6479	178	1	the	the	DET
ejpam-6479	178	2	complete	complete	ADJ
ejpam-6479	178	3	exponential	exponential	ADJ
ejpam-6479	178	4	fuzzy	fuzzy	ADJ
ejpam-6479	178	5	graph	graph	NOUN
ejpam-6479	178	6	on	on	ADP
ejpam-6479	178	7	v	v	NUM
ejpam-6479	178	8	is	be	AUX
ejpam-6479	178	9	gk	gk	NOUN
ejpam-6479	178	10	=	=	PUNCT
ejpam-6479	178	11	(	(	PUNCT
ejpam-6479	178	12	ev	ev	INTJ
ejpam-6479	178	13	,	,	PUNCT
ejpam-6479	178	14	ee	ee	PROPN
ejpam-6479	178	15	,	,	PUNCT
ejpam-6479	178	16	ϑv	ϑv	NOUN
ejpam-6479	178	17	,	,	PUNCT
ejpam-6479	178	18	ϑe	ϑe	VERB
ejpam-6479	178	19	)	)	PUNCT
ejpam-6479	178	20	,	,	PUNCT
ejpam-6479	178	21	where	where	SCONJ
ejpam-6479	178	22	e	e	NOUN
ejpam-6479	178	23	=	=	PRON
ejpam-6479	178	24	{	{	PUNCT
ejpam-6479	178	25	(	(	PUNCT
ejpam-6479	178	26	r	r	NOUN
ejpam-6479	178	27	,	,	PUNCT
ejpam-6479	178	28	w	w	NOUN
ejpam-6479	178	29	)	)	PUNCT
ejpam-6479	178	30	|	|	ADV
ejpam-6479	178	31	r	r	NOUN
ejpam-6479	178	32	,	,	PUNCT
ejpam-6479	178	33	w	w	PROPN
ejpam-6479	178	34	∈	∈	PROPN
ejpam-6479	178	35	v	v	NOUN
ejpam-6479	178	36	,	,	PUNCT
ejpam-6479	178	37	r	r	PROPN
ejpam-6479	178	38	̸=	̸=	PROPN
ejpam-6479	178	39	w	w	PROPN
ejpam-6479	178	40	}	}	PUNCT
ejpam-6479	178	41	.	.	PUNCT
ejpam-6479	179	1	the	the	DET
ejpam-6479	179	2	edge	edge	NOUN
ejpam-6479	179	3	membership	membership	NOUN
ejpam-6479	179	4	values	value	NOUN
ejpam-6479	179	5	must	must	AUX
ejpam-6479	179	6	satisfy	satisfy	VERB
ejpam-6479	179	7	the	the	DET
ejpam-6479	179	8	condition	condition	NOUN
ejpam-6479	179	9	:	:	PUNCT
ejpam-6479	179	10	ϑe(r	ϑe(r	X
ejpam-6479	179	11	,	,	PUNCT
ejpam-6479	179	12	w	w	NOUN
ejpam-6479	179	13	)	)	PUNCT
ejpam-6479	179	14	=	=	SYM
ejpam-6479	179	15	min	min	NOUN
ejpam-6479	179	16	{	{	PUNCT
ejpam-6479	179	17	ϑv	ϑv	X
ejpam-6479	179	18	(	(	PUNCT
ejpam-6479	179	19	r	r	NOUN
ejpam-6479	179	20	)	)	PUNCT
ejpam-6479	179	21	,	,	PUNCT
ejpam-6479	179	22	ϑv	ϑv	ADP
ejpam-6479	179	23	(	(	PUNCT
ejpam-6479	179	24	w	w	NOUN
ejpam-6479	179	25	)	)	PUNCT
ejpam-6479	179	26	}	}	PUNCT
ejpam-6479	179	27	,	,	PUNCT
ejpam-6479	179	28	∀r	∀r	NOUN
ejpam-6479	179	29	,	,	PUNCT
ejpam-6479	179	30	w	w	PROPN
ejpam-6479	179	31	∈	∈	PROPN
ejpam-6479	179	32	v.	v.	ADP
ejpam-6479	179	33	example	example	NOUN
ejpam-6479	179	34	5	5	X
ejpam-6479	179	35	.	.	X
ejpam-6479	179	36	take	take	VERB
ejpam-6479	179	37	v	v	NOUN
ejpam-6479	179	38	=	=	SYM
ejpam-6479	179	39	{	{	PUNCT
ejpam-6479	179	40	w1	w1	NOUN
ejpam-6479	179	41	,	,	PUNCT
ejpam-6479	179	42	w2	w2	NOUN
ejpam-6479	179	43	,	,	PUNCT
ejpam-6479	179	44	w3	w3	PROPN
ejpam-6479	179	45	,	,	PUNCT
ejpam-6479	179	46	w4	w4	NOUN
ejpam-6479	179	47	}	}	PUNCT
ejpam-6479	179	48	,	,	PUNCT
ejpam-6479	179	49	λ	λ	NOUN
ejpam-6479	179	50	=	=	SYM
ejpam-6479	179	51	1	1	NUM
ejpam-6479	179	52	and	and	CCONJ
ejpam-6479	179	53	base	base	ADJ
ejpam-6479	179	54	vertex	vertex	NOUN
ejpam-6479	179	55	-	-	PUNCT
ejpam-6479	179	56	memberships	membership	NOUN
ejpam-6479	179	57	αv	αv	NOUN
ejpam-6479	179	58	(	(	PUNCT
ejpam-6479	179	59	w1	w1	NOUN
ejpam-6479	179	60	)	)	PUNCT
ejpam-6479	179	61	=	=	SYM
ejpam-6479	179	62	0.5	0.5	NUM
ejpam-6479	179	63	,	,	PUNCT
ejpam-6479	179	64	αv	αv	ADP
ejpam-6479	179	65	(	(	PUNCT
ejpam-6479	179	66	w2	w2	NOUN
ejpam-6479	179	67	)	)	PUNCT
ejpam-6479	179	68	=	=	SYM
ejpam-6479	179	69	0.6	0.6	NUM
ejpam-6479	179	70	,	,	PUNCT
ejpam-6479	179	71	αv	αv	NOUN
ejpam-6479	179	72	(	(	PUNCT
ejpam-6479	179	73	w3	w3	PROPN
ejpam-6479	179	74	)	)	PUNCT
ejpam-6479	179	75	=	=	PUNCT
ejpam-6479	179	76	0.4	0.4	NUM
ejpam-6479	179	77	,	,	PUNCT
ejpam-6479	179	78	αv	αv	NOUN
ejpam-6479	179	79	(	(	PUNCT
ejpam-6479	179	80	w4	w4	NOUN
ejpam-6479	179	81	)	)	PUNCT
ejpam-6479	179	82	=	=	PUNCT
ejpam-6479	180	1	0.7	0.7	NUM
ejpam-6479	180	2	.	.	PUNCT
ejpam-6479	181	1	then	then	ADV
ejpam-6479	181	2	ϑv	ϑv	X
ejpam-6479	181	3	(	(	PUNCT
ejpam-6479	181	4	w1	w1	NOUN
ejpam-6479	181	5	)	)	PUNCT
ejpam-6479	181	6	=	=	NOUN
ejpam-6479	181	7	0.5e−0.5	0.5e−0.5	NUM
ejpam-6479	182	1	≈	≈	PROPN
ejpam-6479	182	2	0.3032	0.3032	NUM
ejpam-6479	182	3	,	,	PUNCT
ejpam-6479	182	4	ϑv	ϑv	ADP
ejpam-6479	182	5	(	(	PUNCT
ejpam-6479	182	6	w2	w2	NOUN
ejpam-6479	182	7	)	)	PUNCT
ejpam-6479	182	8	=	=	PUNCT
ejpam-6479	183	1	0.6e−0.6	0.6e−0.6	NUM
ejpam-6479	184	1	≈	≈	PROPN
ejpam-6479	184	2	0.3293	0.3293	NUM
ejpam-6479	184	3	,	,	PUNCT
ejpam-6479	184	4	ϑv	ϑv	ADP
ejpam-6479	184	5	(	(	PUNCT
ejpam-6479	184	6	w3	w3	PROPN
ejpam-6479	184	7	)	)	PUNCT
ejpam-6479	184	8	=	=	PUNCT
ejpam-6479	185	1	0.4e−0.4	0.4e−0.4	NUM
ejpam-6479	186	1	≈	≈	PROPN
ejpam-6479	186	2	0.2681	0.2681	NUM
ejpam-6479	186	3	,	,	PUNCT
ejpam-6479	186	4	ϑv	ϑv	ADP
ejpam-6479	186	5	(	(	PUNCT
ejpam-6479	186	6	w4	w4	NOUN
ejpam-6479	186	7	)	)	PUNCT
ejpam-6479	186	8	=	=	PUNCT
ejpam-6479	187	1	0.7e−0.7	0.7e−0.7	NUM
ejpam-6479	187	2	≈	≈	PROPN
ejpam-6479	187	3	0.3476	0.3476	NUM
ejpam-6479	187	4	.	.	PUNCT
ejpam-6479	188	1	for	for	ADP
ejpam-6479	188	2	the	the	DET
ejpam-6479	188	3	complete	complete	ADJ
ejpam-6479	188	4	graph	graph	NOUN
ejpam-6479	188	5	,	,	PUNCT
ejpam-6479	188	6	ϑe(r	ϑe(r	X
ejpam-6479	188	7	,	,	PUNCT
ejpam-6479	188	8	w	w	NOUN
ejpam-6479	188	9	)	)	PUNCT
ejpam-6479	188	10	=	=	SYM
ejpam-6479	188	11	min	min	NOUN
ejpam-6479	188	12	{	{	PUNCT
ejpam-6479	188	13	ϑv	ϑv	X
ejpam-6479	188	14	(	(	PUNCT
ejpam-6479	188	15	r	r	NOUN
ejpam-6479	188	16	)	)	PUNCT
ejpam-6479	188	17	,	,	PUNCT
ejpam-6479	188	18	ϑv	ϑv	ADP
ejpam-6479	188	19	(	(	PUNCT
ejpam-6479	188	20	w	w	NOUN
ejpam-6479	188	21	)	)	PUNCT
ejpam-6479	188	22	}	}	PUNCT
ejpam-6479	188	23	,	,	PUNCT
ejpam-6479	188	24	∀r	∀r	NOUN
ejpam-6479	188	25	,	,	PUNCT
ejpam-6479	188	26	w	w	PROPN
ejpam-6479	188	27	∈	∈	PROPN
ejpam-6479	188	28	v.	v.	CCONJ
ejpam-6479	188	29	αe(w1	αe(w1	NOUN
ejpam-6479	188	30	,	,	PUNCT
ejpam-6479	188	31	w2	w2	NOUN
ejpam-6479	188	32	)	)	PUNCT
ejpam-6479	188	33	=	=	SYM
ejpam-6479	188	34	0.5	0.5	NUM
ejpam-6479	188	35	,	,	PUNCT
ejpam-6479	188	36	αe(w2	αe(w2	NOUN
ejpam-6479	188	37	,	,	PUNCT
ejpam-6479	188	38	w3	w3	PROPN
ejpam-6479	188	39	)	)	PUNCT
ejpam-6479	188	40	=	=	SYM
ejpam-6479	188	41	0.4	0.4	NUM
ejpam-6479	188	42	,	,	PUNCT
ejpam-6479	188	43	αe(w3	αe(w3	NUM
ejpam-6479	188	44	,	,	PUNCT
ejpam-6479	188	45	w4	w4	NOUN
ejpam-6479	188	46	)	)	PUNCT
ejpam-6479	188	47	=	=	PUNCT
ejpam-6479	189	1	0.4	0.4	NUM
ejpam-6479	189	2	.	.	PUNCT
ejpam-6479	190	1	then	then	ADV
ejpam-6479	190	2	ϑe(w1	ϑe(w1	PROPN
ejpam-6479	190	3	,	,	PUNCT
ejpam-6479	190	4	w2	w2	NOUN
ejpam-6479	190	5	)	)	PUNCT
ejpam-6479	190	6	=	=	PUNCT
ejpam-6479	190	7	0.3032	0.3032	NUM
ejpam-6479	190	8	,	,	PUNCT
ejpam-6479	190	9	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	190	10	,	,	PUNCT
ejpam-6479	190	11	w3	w3	PROPN
ejpam-6479	190	12	)	)	PUNCT
ejpam-6479	190	13	=	=	PUNCT
ejpam-6479	191	1	0.2681	0.2681	NUM
ejpam-6479	191	2	,	,	PUNCT
ejpam-6479	191	3	ϑe(w3	ϑe(w3	PROPN
ejpam-6479	191	4	,	,	PUNCT
ejpam-6479	191	5	w4	w4	NOUN
ejpam-6479	191	6	)	)	PUNCT
ejpam-6479	191	7	=	=	PUNCT
ejpam-6479	192	1	0.2681	0.2681	NUM
ejpam-6479	192	2	.	.	PUNCT
ejpam-6479	193	1	figure	figure	VERB
ejpam-6479	193	2	4	4	NUM
ejpam-6479	193	3	:	:	PUNCT
ejpam-6479	193	4	exponential	exponential	ADJ
ejpam-6479	193	5	fuzzy	fuzzy	ADJ
ejpam-6479	193	6	graph	graph	NOUN
ejpam-6479	193	7	w.	w.	PROPN
ejpam-6479	193	8	f.	f.	PROPN
ejpam-6479	193	9	al	al	PROPN
ejpam-6479	193	10	-	-	PUNCT
ejpam-6479	193	11	omeri	omeri	PROPN
ejpam-6479	193	12	et	et	PROPN
ejpam-6479	193	13	al	al	PROPN
ejpam-6479	193	14	.	.	PUNCT
ejpam-6479	193	15	/	/	SYM
ejpam-6479	193	16	eur	eur	PROPN
ejpam-6479	193	17	.	.	PUNCT
ejpam-6479	194	1	j.	j.	PROPN
ejpam-6479	194	2	pure	pure	PROPN
ejpam-6479	194	3	appl	appl	PROPN
ejpam-6479	194	4	.	.	PROPN
ejpam-6479	194	5	math	math	PROPN
ejpam-6479	194	6	,	,	PUNCT
ejpam-6479	194	7	18	18	NUM
ejpam-6479	194	8	(	(	PUNCT
ejpam-6479	194	9	3	3	NUM
ejpam-6479	194	10	)	)	PUNCT
ejpam-6479	194	11	(	(	PUNCT
ejpam-6479	194	12	2025	2025	NUM
ejpam-6479	194	13	)	)	PUNCT
ejpam-6479	194	14	,	,	PUNCT
ejpam-6479	194	15	6479	6479	NUM
ejpam-6479	194	16	9	9	NUM
ejpam-6479	194	17	of	of	ADP
ejpam-6479	194	18	28	28	NUM
ejpam-6479	194	19	definition	definition	NOUN
ejpam-6479	194	20	10	10	NUM
ejpam-6479	194	21	(	(	PUNCT
ejpam-6479	194	22	complement	complement	NOUN
ejpam-6479	194	23	)	)	PUNCT
ejpam-6479	194	24	.	.	PUNCT
ejpam-6479	195	1	let	let	VERB
ejpam-6479	195	2	g	g	PROPN
ejpam-6479	195	3	=	=	SYM
ejpam-6479	195	4	(	(	PUNCT
ejpam-6479	195	5	ev	ev	INTJ
ejpam-6479	195	6	,	,	PUNCT
ejpam-6479	195	7	ee	ee	PROPN
ejpam-6479	195	8	,	,	PUNCT
ejpam-6479	195	9	ϑv	ϑv	NOUN
ejpam-6479	195	10	,	,	PUNCT
ejpam-6479	195	11	ϑe	ϑe	VERB
ejpam-6479	195	12	)	)	PUNCT
ejpam-6479	195	13	be	be	AUX
ejpam-6479	195	14	an	an	DET
ejpam-6479	195	15	exponential	exponential	ADJ
ejpam-6479	195	16	fuzzy	fuzzy	ADJ
ejpam-6479	195	17	graph	graph	NOUN
ejpam-6479	195	18	with	with	ADP
ejpam-6479	195	19	vertex	vertex	NOUN
ejpam-6479	195	20	membership	membership	NOUN
ejpam-6479	195	21	function	function	NOUN
ejpam-6479	195	22	ϑv	ϑv	NOUN
ejpam-6479	195	23	:	:	PUNCT
ejpam-6479	195	24	v	v	X
ejpam-6479	195	25	→	→	SYM
ejpam-6479	195	26	[	[	X
ejpam-6479	195	27	0	0	NUM
ejpam-6479	195	28	,	,	PUNCT
ejpam-6479	195	29	1	1	NUM
ejpam-6479	195	30	]	]	PUNCT
ejpam-6479	195	31	,	,	PUNCT
ejpam-6479	195	32	ϑv	ϑv	X
ejpam-6479	195	33	(	(	PUNCT
ejpam-6479	195	34	w	w	NOUN
ejpam-6479	195	35	)	)	PUNCT
ejpam-6479	195	36	=	=	SYM
ejpam-6479	195	37	αv	αv	NOUN
ejpam-6479	195	38	(	(	PUNCT
ejpam-6479	195	39	w)e	w)e	ADJ
ejpam-6479	195	40	−λαv	−λαv	ADJ
ejpam-6479	195	41	(	(	PUNCT
ejpam-6479	195	42	w	w	NOUN
ejpam-6479	195	43	)	)	PUNCT
ejpam-6479	195	44	,	,	PUNCT
ejpam-6479	195	45	and	and	CCONJ
ejpam-6479	195	46	edge	edge	NOUN
ejpam-6479	195	47	membership	membership	NOUN
ejpam-6479	195	48	function	function	NOUN
ejpam-6479	195	49	ϑe	ϑe	VERB
ejpam-6479	195	50	:	:	PUNCT
ejpam-6479	195	51	e	e	X
ejpam-6479	195	52	→	→	SYM
ejpam-6479	196	1	[	[	X
ejpam-6479	196	2	0	0	NUM
ejpam-6479	196	3	,	,	PUNCT
ejpam-6479	196	4	1	1	NUM
ejpam-6479	196	5	]	]	PUNCT
ejpam-6479	196	6	,	,	PUNCT
ejpam-6479	196	7	ϑe(r	ϑe(r	X
ejpam-6479	196	8	,	,	PUNCT
ejpam-6479	196	9	w	w	NOUN
ejpam-6479	196	10	)	)	PUNCT
ejpam-6479	196	11	=	=	SYM
ejpam-6479	196	12	αe(r	αe(r	NOUN
ejpam-6479	196	13	,	,	PUNCT
ejpam-6479	196	14	w)e	w)e	ADJ
ejpam-6479	196	15	−λαe(r	−λαe(r	PROPN
ejpam-6479	196	16	,	,	PUNCT
ejpam-6479	196	17	w	w	NOUN
ejpam-6479	196	18	)	)	PUNCT
ejpam-6479	196	19	,	,	PUNCT
ejpam-6479	196	20	where	where	SCONJ
ejpam-6479	196	21	αv	αv	INTJ
ejpam-6479	196	22	(	(	PUNCT
ejpam-6479	196	23	w	w	NOUN
ejpam-6479	196	24	)	)	PUNCT
ejpam-6479	196	25	,	,	PUNCT
ejpam-6479	196	26	αe(r	αe(r	NUM
ejpam-6479	196	27	,	,	PUNCT
ejpam-6479	196	28	w	w	NOUN
ejpam-6479	196	29	)	)	PUNCT
ejpam-6479	196	30	∈	∈	PROPN
ejpam-6479	197	1	[	[	X
ejpam-6479	197	2	0	0	NUM
ejpam-6479	197	3	,	,	PUNCT
ejpam-6479	197	4	1	1	NUM
ejpam-6479	197	5	]	]	PUNCT
ejpam-6479	197	6	are	be	AUX
ejpam-6479	197	7	base	base	ADJ
ejpam-6479	197	8	membership	membership	NOUN
ejpam-6479	197	9	degrees	degree	NOUN
ejpam-6479	197	10	and	and	CCONJ
ejpam-6479	197	11	λ	λ	X
ejpam-6479	197	12	>	>	X
ejpam-6479	197	13	0	0	NUM
ejpam-6479	197	14	.	.	PUNCT
ejpam-6479	198	1	the	the	DET
ejpam-6479	198	2	complement	complement	NOUN
ejpam-6479	198	3	of	of	ADP
ejpam-6479	198	4	g	g	NOUN
ejpam-6479	198	5	,	,	PUNCT
ejpam-6479	198	6	denoted	denote	VERB
ejpam-6479	198	7	gc	gc	PROPN
ejpam-6479	198	8	=	=	SYM
ejpam-6479	198	9	(	(	PUNCT
ejpam-6479	198	10	ev	ev	ADP
ejpam-6479	198	11	c	c	PROPN
ejpam-6479	198	12	,	,	PUNCT
ejpam-6479	198	13	eec	eec	PROPN
ejpam-6479	198	14	,	,	PUNCT
ejpam-6479	198	15	ϑv	ϑv	ADP
ejpam-6479	198	16	c	c	NOUN
ejpam-6479	198	17	,	,	PUNCT
ejpam-6479	198	18	ϑec	ϑec	PROPN
ejpam-6479	198	19	)	)	PUNCT
ejpam-6479	198	20	,	,	PUNCT
ejpam-6479	198	21	is	be	AUX
ejpam-6479	198	22	defined	define	VERB
ejpam-6479	198	23	by	by	ADP
ejpam-6479	198	24	:	:	PUNCT
ejpam-6479	198	25	ϑv	ϑv	ADP
ejpam-6479	198	26	c(w	c(w	PROPN
ejpam-6479	198	27	)	)	PUNCT
ejpam-6479	199	1	=	=	SYM
ejpam-6479	199	2	1−	1−	NUM
ejpam-6479	199	3	ϑv	ϑv	NOUN
ejpam-6479	199	4	(	(	PUNCT
ejpam-6479	199	5	w	w	NOUN
ejpam-6479	199	6	)	)	PUNCT
ejpam-6479	199	7	,	,	PUNCT
ejpam-6479	199	8	ϑec(r	ϑec(r	PROPN
ejpam-6479	199	9	,	,	PUNCT
ejpam-6479	199	10	w	w	NOUN
ejpam-6479	199	11	)	)	PUNCT
ejpam-6479	199	12	=	=	SYM
ejpam-6479	199	13	{	{	PUNCT
ejpam-6479	199	14	1−	1−	NUM
ejpam-6479	199	15	ϑe(r	ϑe(r	NOUN
ejpam-6479	199	16	,	,	PUNCT
ejpam-6479	199	17	w	w	NOUN
ejpam-6479	199	18	)	)	PUNCT
ejpam-6479	199	19	,	,	PUNCT
ejpam-6479	199	20	if	if	SCONJ
ejpam-6479	199	21	(	(	PUNCT
ejpam-6479	199	22	r	r	NOUN
ejpam-6479	199	23	,	,	PUNCT
ejpam-6479	199	24	w	w	NOUN
ejpam-6479	199	25	)	)	PUNCT
ejpam-6479	199	26	∈	∈	PROPN
ejpam-6479	199	27	e	e	NOUN
ejpam-6479	199	28	,	,	PUNCT
ejpam-6479	199	29	ϑe(r	ϑe(r	X
ejpam-6479	199	30	,	,	PUNCT
ejpam-6479	199	31	w	w	NOUN
ejpam-6479	199	32	)	)	PUNCT
ejpam-6479	199	33	,	,	PUNCT
ejpam-6479	199	34	if	if	SCONJ
ejpam-6479	199	35	(	(	PUNCT
ejpam-6479	199	36	r	r	NOUN
ejpam-6479	199	37	,	,	PUNCT
ejpam-6479	199	38	w	w	NOUN
ejpam-6479	199	39	)	)	PUNCT
ejpam-6479	199	40	/∈	/∈	PUNCT
ejpam-6479	200	1	e.	e.	PROPN
ejpam-6479	200	2	example	example	NOUN
ejpam-6479	200	3	6	6	NUM
ejpam-6479	200	4	.	.	PUNCT
ejpam-6479	201	1	consider	consider	VERB
ejpam-6479	201	2	the	the	DET
ejpam-6479	201	3	exponential	exponential	ADJ
ejpam-6479	201	4	fuzzy	fuzzy	ADJ
ejpam-6479	201	5	graph	graph	NOUN
ejpam-6479	201	6	g	g	PROPN
ejpam-6479	201	7	=	=	PUNCT
ejpam-6479	201	8	(	(	PUNCT
ejpam-6479	201	9	ev	ev	INTJ
ejpam-6479	201	10	,	,	PUNCT
ejpam-6479	201	11	ee	ee	PROPN
ejpam-6479	201	12	)	)	PUNCT
ejpam-6479	201	13	where	where	SCONJ
ejpam-6479	201	14	v	v	NOUN
ejpam-6479	201	15	=	=	SYM
ejpam-6479	201	16	{	{	PUNCT
ejpam-6479	201	17	w1	w1	NOUN
ejpam-6479	201	18	,	,	PUNCT
ejpam-6479	201	19	w2	w2	NOUN
ejpam-6479	201	20	,	,	PUNCT
ejpam-6479	201	21	w3	w3	PROPN
ejpam-6479	201	22	,	,	PUNCT
ejpam-6479	201	23	w4	w4	NOUN
ejpam-6479	201	24	}	}	PUNCT
ejpam-6479	201	25	,	,	PUNCT
ejpam-6479	201	26	e	e	X
ejpam-6479	201	27	=	=	PRON
ejpam-6479	201	28	{	{	PUNCT
ejpam-6479	201	29	(	(	PUNCT
ejpam-6479	201	30	w1	w1	NOUN
ejpam-6479	201	31	,	,	PUNCT
ejpam-6479	201	32	w2	w2	NOUN
ejpam-6479	201	33	)	)	PUNCT
ejpam-6479	201	34	,	,	PUNCT
ejpam-6479	201	35	(	(	PUNCT
ejpam-6479	201	36	w2	w2	NOUN
ejpam-6479	201	37	,	,	PUNCT
ejpam-6479	201	38	w3	w3	PROPN
ejpam-6479	201	39	)	)	PUNCT
ejpam-6479	201	40	,	,	PUNCT
ejpam-6479	201	41	(	(	PUNCT
ejpam-6479	201	42	w3	w3	PROPN
ejpam-6479	201	43	,	,	PUNCT
ejpam-6479	201	44	w4	w4	NOUN
ejpam-6479	201	45	)	)	PUNCT
ejpam-6479	201	46	}	}	PUNCT
ejpam-6479	201	47	,	,	PUNCT
ejpam-6479	201	48	with	with	ADP
ejpam-6479	201	49	λ	λ	PROPN
ejpam-6479	201	50	=	=	NOUN
ejpam-6479	201	51	1	1	X
ejpam-6479	201	52	.	.	PUNCT
ejpam-6479	202	1	the	the	DET
ejpam-6479	202	2	base	base	ADJ
ejpam-6479	202	3	vertex	vertex	NOUN
ejpam-6479	202	4	memberships	membership	NOUN
ejpam-6479	202	5	are	be	AUX
ejpam-6479	202	6	:	:	PUNCT
ejpam-6479	202	7	αv	αv	X
ejpam-6479	202	8	(	(	PUNCT
ejpam-6479	202	9	w1	w1	NOUN
ejpam-6479	202	10	)	)	PUNCT
ejpam-6479	202	11	=	=	SYM
ejpam-6479	202	12	0.5	0.5	NUM
ejpam-6479	202	13	,	,	PUNCT
ejpam-6479	202	14	αv	αv	ADP
ejpam-6479	202	15	(	(	PUNCT
ejpam-6479	202	16	w2	w2	NOUN
ejpam-6479	202	17	)	)	PUNCT
ejpam-6479	202	18	=	=	PUNCT
ejpam-6479	202	19	0.7	0.7	NUM
ejpam-6479	202	20	,	,	PUNCT
ejpam-6479	202	21	αv	αv	NOUN
ejpam-6479	202	22	(	(	PUNCT
ejpam-6479	202	23	w3	w3	PROPN
ejpam-6479	202	24	)	)	PUNCT
ejpam-6479	202	25	=	=	PUNCT
ejpam-6479	202	26	0.8	0.8	NUM
ejpam-6479	202	27	,	,	PUNCT
ejpam-6479	202	28	αv	αv	NOUN
ejpam-6479	202	29	(	(	PUNCT
ejpam-6479	202	30	w4	w4	NOUN
ejpam-6479	202	31	)	)	PUNCT
ejpam-6479	202	32	=	=	SYM
ejpam-6479	202	33	0.4	0.4	NUM
ejpam-6479	202	34	and	and	CCONJ
ejpam-6479	202	35	the	the	DET
ejpam-6479	202	36	base	base	NOUN
ejpam-6479	202	37	edge	edge	NOUN
ejpam-6479	202	38	memberships	membership	NOUN
ejpam-6479	202	39	are	be	AUX
ejpam-6479	202	40	:	:	PUNCT
ejpam-6479	202	41	αe(w1	αe(w1	NUM
ejpam-6479	202	42	,	,	PUNCT
ejpam-6479	202	43	w2	w2	NOUN
ejpam-6479	202	44	)	)	PUNCT
ejpam-6479	202	45	=	=	SYM
ejpam-6479	202	46	0.5	0.5	NUM
ejpam-6479	202	47	,	,	PUNCT
ejpam-6479	202	48	αe(w2	αe(w2	NOUN
ejpam-6479	202	49	,	,	PUNCT
ejpam-6479	202	50	w3	w3	PROPN
ejpam-6479	202	51	)	)	PUNCT
ejpam-6479	202	52	=	=	SYM
ejpam-6479	202	53	0.6	0.6	NUM
ejpam-6479	202	54	,	,	PUNCT
ejpam-6479	202	55	αe(w3	αe(w3	NUM
ejpam-6479	202	56	,	,	PUNCT
ejpam-6479	202	57	w4	w4	NOUN
ejpam-6479	202	58	)	)	PUNCT
ejpam-6479	202	59	=	=	PUNCT
ejpam-6479	203	1	0.4	0.4	NUM
ejpam-6479	203	2	.	.	PUNCT
ejpam-6479	204	1	compute	compute	ADJ
ejpam-6479	204	2	vertex	vertex	NOUN
ejpam-6479	204	3	memberships	membership	NOUN
ejpam-6479	204	4	:	:	PUNCT
ejpam-6479	204	5	ϑv	ϑv	ADP
ejpam-6479	204	6	(	(	PUNCT
ejpam-6479	204	7	w1	w1	NOUN
ejpam-6479	204	8	)	)	PUNCT
ejpam-6479	204	9	=	=	SYM
ejpam-6479	204	10	0.3032	0.3032	NUM
ejpam-6479	204	11	,	,	PUNCT
ejpam-6479	204	12	ϑv	ϑv	ADP
ejpam-6479	204	13	(	(	PUNCT
ejpam-6479	204	14	w2	w2	NOUN
ejpam-6479	204	15	)	)	PUNCT
ejpam-6479	204	16	=	=	SYM
ejpam-6479	205	1	0.3476	0.3476	NUM
ejpam-6479	205	2	,	,	PUNCT
ejpam-6479	205	3	ϑv	ϑv	ADP
ejpam-6479	205	4	(	(	PUNCT
ejpam-6479	205	5	w3	w3	PROPN
ejpam-6479	205	6	)	)	PUNCT
ejpam-6479	205	7	=	=	NOUN
ejpam-6479	206	1	0.3594	0.3594	NUM
ejpam-6479	206	2	,	,	PUNCT
ejpam-6479	206	3	ϑv	ϑv	ADP
ejpam-6479	206	4	(	(	PUNCT
ejpam-6479	206	5	w4	w4	NOUN
ejpam-6479	206	6	)	)	PUNCT
ejpam-6479	206	7	=	=	PUNCT
ejpam-6479	207	1	0.2681	0.2681	NUM
ejpam-6479	207	2	.	.	PUNCT
ejpam-6479	208	1	compute	compute	NOUN
ejpam-6479	208	2	edge	edge	NOUN
ejpam-6479	208	3	memberships	membership	NOUN
ejpam-6479	208	4	:	:	PUNCT
ejpam-6479	208	5	ϑe(w1	ϑe(w1	NOUN
ejpam-6479	208	6	,	,	PUNCT
ejpam-6479	208	7	w2	w2	NOUN
ejpam-6479	208	8	)	)	PUNCT
ejpam-6479	208	9	=	=	PUNCT
ejpam-6479	209	1	0.3032	0.3032	NUM
ejpam-6479	209	2	,	,	PUNCT
ejpam-6479	209	3	ϑe(w2	ϑe(w2	NOUN
ejpam-6479	209	4	,	,	PUNCT
ejpam-6479	209	5	w3	w3	PROPN
ejpam-6479	209	6	)	)	PUNCT
ejpam-6479	209	7	=	=	PUNCT
ejpam-6479	210	1	0.3292	0.3292	NUM
ejpam-6479	210	2	,	,	PUNCT
ejpam-6479	210	3	ϑe(w3	ϑe(w3	PROPN
ejpam-6479	210	4	,	,	PUNCT
ejpam-6479	210	5	w4	w4	NOUN
ejpam-6479	210	6	)	)	PUNCT
ejpam-6479	210	7	=	=	PUNCT
ejpam-6479	211	1	0.2681	0.2681	NUM
ejpam-6479	211	2	.	.	PUNCT
ejpam-6479	212	1	the	the	DET
ejpam-6479	212	2	complement	complement	NOUN
ejpam-6479	212	3	of	of	ADP
ejpam-6479	212	4	the	the	DET
ejpam-6479	212	5	efg	efg	NOUN
ejpam-6479	212	6	is	be	AUX
ejpam-6479	212	7	gc	gc	PROPN
ejpam-6479	212	8	=	=	PUNCT
ejpam-6479	212	9	(	(	PUNCT
ejpam-6479	212	10	ev	ev	ADP
ejpam-6479	212	11	c	c	PROPN
ejpam-6479	212	12	,	,	PUNCT
ejpam-6479	212	13	eec	eec	PROPN
ejpam-6479	212	14	)	)	PUNCT
ejpam-6479	212	15	,	,	PUNCT
ejpam-6479	212	16	then	then	ADV
ejpam-6479	212	17	vertex	vertex	NOUN
ejpam-6479	212	18	memberships	membership	NOUN
ejpam-6479	212	19	:	:	PUNCT
ejpam-6479	212	20	ϑv	ϑv	NOUN
ejpam-6479	212	21	c(w1	c(w1	NOUN
ejpam-6479	212	22	)	)	PUNCT
ejpam-6479	212	23	=	=	SYM
ejpam-6479	213	1	0.6968	0.6968	NUM
ejpam-6479	213	2	,	,	PUNCT
ejpam-6479	213	3	ϑv	ϑv	PRON
ejpam-6479	213	4	c(w2	c(w2	VERB
ejpam-6479	213	5	)	)	PUNCT
ejpam-6479	213	6	=	=	SYM
ejpam-6479	213	7	0.6524	0.6524	NUM
ejpam-6479	213	8	,	,	PUNCT
ejpam-6479	213	9	ϑv	ϑv	X
ejpam-6479	213	10	c(w3	c(w3	PROPN
ejpam-6479	213	11	)	)	PUNCT
ejpam-6479	213	12	=	=	SYM
ejpam-6479	213	13	0.6404	0.6404	NUM
ejpam-6479	213	14	,	,	PUNCT
ejpam-6479	213	15	ϑv	ϑv	ADP
ejpam-6479	213	16	c(w4	c(w4	NOUN
ejpam-6479	213	17	)	)	PUNCT
ejpam-6479	213	18	=	=	SYM
ejpam-6479	213	19	0.7319	0.7319	NUM
ejpam-6479	213	20	.	.	PUNCT
ejpam-6479	214	1	edge	edge	NOUN
ejpam-6479	214	2	memberships	membership	NOUN
ejpam-6479	214	3	:	:	PUNCT
ejpam-6479	215	1	ϑec(w1	ϑec(w1	NOUN
ejpam-6479	215	2	,	,	PUNCT
ejpam-6479	215	3	w2	w2	NOUN
ejpam-6479	215	4	)	)	PUNCT
ejpam-6479	215	5	=	=	PUNCT
ejpam-6479	216	1	0.6968	0.6968	NUM
ejpam-6479	216	2	,	,	PUNCT
ejpam-6479	216	3	ϑec(w2	ϑec(w2	ADP
ejpam-6479	216	4	,	,	PUNCT
ejpam-6479	216	5	w3	w3	NOUN
ejpam-6479	216	6	)	)	PUNCT
ejpam-6479	216	7	=	=	SYM
ejpam-6479	217	1	0.6708	0.6708	NUM
ejpam-6479	217	2	,	,	PUNCT
ejpam-6479	217	3	ϑec(w3	ϑec(w3	PROPN
ejpam-6479	217	4	,	,	PUNCT
ejpam-6479	217	5	w4	w4	NOUN
ejpam-6479	217	6	)	)	PUNCT
ejpam-6479	217	7	=	=	SYM
ejpam-6479	217	8	0.7319	0.7319	NUM
ejpam-6479	217	9	.	.	PUNCT
ejpam-6479	218	1	definition	definition	NOUN
ejpam-6479	218	2	11	11	NUM
ejpam-6479	218	3	(	(	PUNCT
ejpam-6479	218	4	cartesian	cartesian	ADJ
ejpam-6479	218	5	product	product	NOUN
ejpam-6479	218	6	of	of	ADP
ejpam-6479	218	7	efgs	efgs	NOUN
ejpam-6479	218	8	)	)	PUNCT
ejpam-6479	218	9	.	.	PUNCT
ejpam-6479	219	1	let	let	VERB
ejpam-6479	219	2	g1	g1	PROPN
ejpam-6479	219	3	=	=	SYM
ejpam-6479	219	4	(	(	PUNCT
ejpam-6479	219	5	ev	ev	INTJ
ejpam-6479	219	6	1	1	NUM
ejpam-6479	219	7	,	,	PUNCT
ejpam-6479	219	8	ee1	ee1	PROPN
ejpam-6479	219	9	,	,	PUNCT
ejpam-6479	219	10	ϑv	ϑv	ADP
ejpam-6479	219	11	1	1	NUM
ejpam-6479	219	12	,	,	PUNCT
ejpam-6479	219	13	ϑe1	ϑe1	ADJ
ejpam-6479	219	14	)	)	PUNCT
ejpam-6479	219	15	,	,	PUNCT
ejpam-6479	219	16	g2	g2	PROPN
ejpam-6479	219	17	=	=	PRON
ejpam-6479	219	18	(	(	PUNCT
ejpam-6479	219	19	ev	ev	INTJ
ejpam-6479	219	20	2	2	NUM
ejpam-6479	219	21	,	,	PUNCT
ejpam-6479	219	22	ee2	ee2	NOUN
ejpam-6479	219	23	,	,	PUNCT
ejpam-6479	219	24	ϑv	ϑv	ADP
ejpam-6479	219	25	2	2	NUM
ejpam-6479	219	26	,	,	PUNCT
ejpam-6479	219	27	ϑe2	ϑe2	NOUN
ejpam-6479	219	28	)	)	PUNCT
ejpam-6479	219	29	be	be	VERB
ejpam-6479	219	30	two	two	NUM
ejpam-6479	219	31	exponential	exponential	ADJ
ejpam-6479	219	32	fuzzy	fuzzy	ADJ
ejpam-6479	219	33	graphs	graph	NOUN
ejpam-6479	219	34	with	with	ADP
ejpam-6479	219	35	ϑv	ϑv	ADP
ejpam-6479	219	36	i(w	i(w	NOUN
ejpam-6479	219	37	)	)	PUNCT
ejpam-6479	219	38	=	=	SYM
ejpam-6479	219	39	αv	αv	ADP
ejpam-6479	219	40	i(w	i(w	NOUN
ejpam-6479	219	41	)	)	PUNCT
ejpam-6479	220	1	e−λαv	e−λαv	NOUN
ejpam-6479	221	1	i	i	PRON
ejpam-6479	221	2	(	(	PUNCT
ejpam-6479	221	3	w	w	NOUN
ejpam-6479	221	4	)	)	PUNCT
ejpam-6479	221	5	,	,	PUNCT
ejpam-6479	221	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	221	7	,	,	PUNCT
ejpam-6479	221	8	w	w	NOUN
ejpam-6479	221	9	)	)	PUNCT
ejpam-6479	221	10	=	=	SYM
ejpam-6479	221	11	αei(r	αei(r	PROPN
ejpam-6479	221	12	,	,	PUNCT
ejpam-6479	221	13	w	w	PROPN
ejpam-6479	221	14	)	)	PUNCT
ejpam-6479	221	15	e−λαei	e−λαei	X
ejpam-6479	221	16	(	(	PUNCT
ejpam-6479	221	17	r	r	NOUN
ejpam-6479	221	18	,	,	PUNCT
ejpam-6479	221	19	w	w	NOUN
ejpam-6479	221	20	)	)	PUNCT
ejpam-6479	221	21	,	,	PUNCT
ejpam-6479	221	22	i	i	PRON
ejpam-6479	221	23	=	=	NOUN
ejpam-6479	221	24	1	1	NUM
ejpam-6479	221	25	,	,	PUNCT
ejpam-6479	221	26	2	2	NUM
ejpam-6479	221	27	.	.	PUNCT
ejpam-6479	222	1	their	their	PRON
ejpam-6479	222	2	cartesian	cartesian	ADJ
ejpam-6479	222	3	product	product	NOUN
ejpam-6479	222	4	is	be	AUX
ejpam-6479	222	5	g	g	NOUN
ejpam-6479	222	6	=	=	PROPN
ejpam-6479	222	7	g1	g1	PROPN
ejpam-6479	222	8	×	×	PROPN
ejpam-6479	222	9	g2	g2	PROPN
ejpam-6479	222	10	=	=	PRON
ejpam-6479	223	1	(	(	PUNCT
ejpam-6479	223	2	ev	ev	INTJ
ejpam-6479	223	3	1×v	1×v	NUM
ejpam-6479	223	4	2	2	NUM
ejpam-6479	223	5	,	,	PUNCT
ejpam-6479	223	6	ee1×e2	ee1×e2	PROPN
ejpam-6479	223	7	,	,	PUNCT
ejpam-6479	223	8	ϑv	ϑv	NOUN
ejpam-6479	223	9	,	,	PUNCT
ejpam-6479	223	10	ϑe	ϑe	VERB
ejpam-6479	223	11	)	)	PUNCT
ejpam-6479	223	12	,	,	PUNCT
ejpam-6479	224	1	where	where	SCONJ
ejpam-6479	224	2	ee1×e2	ee1×e2	PROPN
ejpam-6479	224	3	=	=	X
ejpam-6479	224	4	{	{	PUNCT
ejpam-6479	224	5	(	(	PUNCT
ejpam-6479	224	6	(	(	PUNCT
ejpam-6479	224	7	r1	r1	PROPN
ejpam-6479	224	8	,	,	PUNCT
ejpam-6479	224	9	w1	w1	NOUN
ejpam-6479	224	10	)	)	PUNCT
ejpam-6479	224	11	,	,	PUNCT
ejpam-6479	224	12	(	(	PUNCT
ejpam-6479	224	13	r2	r2	NOUN
ejpam-6479	224	14	,	,	PUNCT
ejpam-6479	224	15	w2	w2	NOUN
ejpam-6479	224	16	)	)	PUNCT
ejpam-6479	224	17	)	)	PUNCT
ejpam-6479	224	18	|	|	ADV
ejpam-6479	224	19	(	(	PUNCT
ejpam-6479	224	20	r1	r1	PROPN
ejpam-6479	224	21	=	=	PUNCT
ejpam-6479	224	22	w1	w1	PROPN
ejpam-6479	224	23	,	,	PUNCT
ejpam-6479	224	24	(	(	PUNCT
ejpam-6479	224	25	r2	r2	PROPN
ejpam-6479	224	26	,	,	PUNCT
ejpam-6479	224	27	w2	w2	NOUN
ejpam-6479	224	28	)	)	PUNCT
ejpam-6479	224	29	∈	∈	PROPN
ejpam-6479	224	30	ee2	ee2	NOUN
ejpam-6479	224	31	)	)	PUNCT
ejpam-6479	224	32	∨	∨	PROPN
ejpam-6479	224	33	(	(	PUNCT
ejpam-6479	224	34	(	(	PUNCT
ejpam-6479	224	35	r1	r1	PROPN
ejpam-6479	224	36	,	,	PUNCT
ejpam-6479	224	37	w1	w1	NOUN
ejpam-6479	224	38	)	)	PUNCT
ejpam-6479	224	39	∈	∈	PROPN
ejpam-6479	224	40	ee1	ee1	PROPN
ejpam-6479	224	41	,	,	PUNCT
ejpam-6479	224	42	r2	r2	PROPN
ejpam-6479	224	43	=	=	PUNCT
ejpam-6479	224	44	w2	w2	NOUN
ejpam-6479	224	45	)	)	PUNCT
ejpam-6479	224	46	}	}	PUNCT
ejpam-6479	224	47	,	,	PUNCT
ejpam-6479	224	48	and	and	CCONJ
ejpam-6479	224	49	the	the	DET
ejpam-6479	224	50	exponential	exponential	ADJ
ejpam-6479	224	51	memberships	membership	NOUN
ejpam-6479	224	52	are	be	AUX
ejpam-6479	224	53	ϑv	ϑv	ADP
ejpam-6479	224	54	1×v	1×v	NUM
ejpam-6479	224	55	2(r1	2(r1	NUM
ejpam-6479	224	56	,	,	PUNCT
ejpam-6479	224	57	w1	w1	NOUN
ejpam-6479	224	58	)	)	PUNCT
ejpam-6479	224	59	=	=	PUNCT
ejpam-6479	225	1	min{ϑv	min{ϑv	NUM
ejpam-6479	225	2	1(r1	1(r1	NUM
ejpam-6479	225	3	)	)	PUNCT
ejpam-6479	225	4	,	,	PUNCT
ejpam-6479	225	5	ϑv	ϑv	ADP
ejpam-6479	225	6	2(w1	2(w1	NUM
ejpam-6479	225	7	)	)	PUNCT
ejpam-6479	225	8	}	}	PUNCT
ejpam-6479	225	9	,	,	PUNCT
ejpam-6479	225	10	ϑe1×e2	ϑe1×e2	PROPN
ejpam-6479	225	11	(	(	PUNCT
ejpam-6479	225	12	(	(	PUNCT
ejpam-6479	225	13	r1	r1	PROPN
ejpam-6479	225	14	,	,	PUNCT
ejpam-6479	225	15	w1	w1	NOUN
ejpam-6479	225	16	)	)	PUNCT
ejpam-6479	225	17	,	,	PUNCT
ejpam-6479	225	18	(	(	PUNCT
ejpam-6479	225	19	r2	r2	NOUN
ejpam-6479	225	20	,	,	PUNCT
ejpam-6479	225	21	w2	w2	NOUN
ejpam-6479	225	22	)	)	PUNCT
ejpam-6479	225	23	)	)	PUNCT
ejpam-6479	226	1	=	=	PUNCT
ejpam-6479	226	2	min{ϑv	min{ϑv	ADJ
ejpam-6479	226	3	1(r1	1(r1	NUM
ejpam-6479	226	4	)	)	PUNCT
ejpam-6479	226	5	,	,	PUNCT
ejpam-6479	226	6	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	226	7	,	,	PUNCT
ejpam-6479	226	8	w2	w2	NOUN
ejpam-6479	226	9	)	)	PUNCT
ejpam-6479	226	10	}	}	PUNCT
ejpam-6479	226	11	,	,	PUNCT
ejpam-6479	226	12	r1	r1	PROPN
ejpam-6479	226	13	=	=	SYM
ejpam-6479	226	14	w1	w1	PROPN
ejpam-6479	226	15	,	,	PUNCT
ejpam-6479	226	16	(	(	PUNCT
ejpam-6479	226	17	r2	r2	PROPN
ejpam-6479	226	18	,	,	PUNCT
ejpam-6479	226	19	w2	w2	NOUN
ejpam-6479	226	20	)	)	PUNCT
ejpam-6479	226	21	∈	∈	PROPN
ejpam-6479	226	22	ee2	ee2	NOUN
ejpam-6479	226	23	,	,	PUNCT
ejpam-6479	226	24	min{ϑe1(r1	min{ϑe1(r1	PROPN
ejpam-6479	226	25	,	,	PUNCT
ejpam-6479	226	26	w1	w1	NOUN
ejpam-6479	226	27	)	)	PUNCT
ejpam-6479	226	28	,	,	PUNCT
ejpam-6479	226	29	ϑv	ϑv	ADP
ejpam-6479	226	30	2(r2	2(r2	NUM
ejpam-6479	226	31	)	)	PUNCT
ejpam-6479	226	32	}	}	PUNCT
ejpam-6479	226	33	,	,	PUNCT
ejpam-6479	226	34	(	(	PUNCT
ejpam-6479	226	35	r1	r1	PROPN
ejpam-6479	226	36	,	,	PUNCT
ejpam-6479	226	37	w1	w1	NOUN
ejpam-6479	226	38	)	)	PUNCT
ejpam-6479	226	39	∈	∈	PROPN
ejpam-6479	226	40	ee1	ee1	PROPN
ejpam-6479	226	41	,	,	PUNCT
ejpam-6479	226	42	r2	r2	PROPN
ejpam-6479	226	43	=	=	PUNCT
ejpam-6479	226	44	w2	w2	PROPN
ejpam-6479	226	45	.	.	PUNCT
ejpam-6479	227	1	w.	w.	PROPN
ejpam-6479	227	2	f.	f.	PROPN
ejpam-6479	227	3	al	al	PROPN
ejpam-6479	227	4	-	-	PUNCT
ejpam-6479	227	5	omeri	omeri	PROPN
ejpam-6479	227	6	et	et	PROPN
ejpam-6479	227	7	al	al	PROPN
ejpam-6479	227	8	.	.	PUNCT
ejpam-6479	227	9	/	/	SYM
ejpam-6479	227	10	eur	eur	PROPN
ejpam-6479	227	11	.	.	PUNCT
ejpam-6479	228	1	j.	j.	PROPN
ejpam-6479	228	2	pure	pure	PROPN
ejpam-6479	228	3	appl	appl	PROPN
ejpam-6479	228	4	.	.	PROPN
ejpam-6479	228	5	math	math	PROPN
ejpam-6479	228	6	,	,	PUNCT
ejpam-6479	228	7	18	18	NUM
ejpam-6479	228	8	(	(	PUNCT
ejpam-6479	228	9	3	3	NUM
ejpam-6479	228	10	)	)	PUNCT
ejpam-6479	228	11	(	(	PUNCT
ejpam-6479	228	12	2025	2025	NUM
ejpam-6479	228	13	)	)	PUNCT
ejpam-6479	228	14	,	,	PUNCT
ejpam-6479	228	15	6479	6479	NUM
ejpam-6479	228	16	10	10	NUM
ejpam-6479	228	17	of	of	ADP
ejpam-6479	228	18	28	28	NUM
ejpam-6479	228	19	figure	figure	NOUN
ejpam-6479	228	20	5	5	NUM
ejpam-6479	228	21	:	:	PUNCT
ejpam-6479	228	22	exponential	exponential	ADJ
ejpam-6479	228	23	fuzzy	fuzzy	ADJ
ejpam-6479	228	24	graph	graph	NOUN
ejpam-6479	228	25	definition	definition	NOUN
ejpam-6479	228	26	12	12	NUM
ejpam-6479	228	27	(	(	PUNCT
ejpam-6479	228	28	degree	degree	NOUN
ejpam-6479	228	29	of	of	ADP
ejpam-6479	228	30	cartesian	cartesian	ADJ
ejpam-6479	228	31	product	product	NOUN
ejpam-6479	228	32	)	)	PUNCT
ejpam-6479	228	33	.	.	PUNCT
ejpam-6479	229	1	let	let	VERB
ejpam-6479	229	2	g1	g1	PROPN
ejpam-6479	229	3	=	=	SYM
ejpam-6479	229	4	(	(	PUNCT
ejpam-6479	229	5	ev	ev	INTJ
ejpam-6479	229	6	1	1	NUM
ejpam-6479	229	7	,	,	PUNCT
ejpam-6479	229	8	ee1	ee1	PROPN
ejpam-6479	229	9	,	,	PUNCT
ejpam-6479	229	10	ϑv	ϑv	ADP
ejpam-6479	229	11	1	1	NUM
ejpam-6479	229	12	,	,	PUNCT
ejpam-6479	229	13	ϑe1	ϑe1	ADJ
ejpam-6479	229	14	)	)	PUNCT
ejpam-6479	229	15	,	,	PUNCT
ejpam-6479	229	16	g2	g2	PROPN
ejpam-6479	229	17	=	=	PRON
ejpam-6479	229	18	(	(	PUNCT
ejpam-6479	229	19	ev	ev	INTJ
ejpam-6479	229	20	2	2	NUM
ejpam-6479	229	21	,	,	PUNCT
ejpam-6479	229	22	ee2	ee2	NOUN
ejpam-6479	229	23	,	,	PUNCT
ejpam-6479	229	24	ϑv	ϑv	ADP
ejpam-6479	229	25	2	2	NUM
ejpam-6479	229	26	,	,	PUNCT
ejpam-6479	229	27	ϑe2	ϑe2	NOUN
ejpam-6479	229	28	)	)	PUNCT
ejpam-6479	229	29	be	be	VERB
ejpam-6479	229	30	two	two	NUM
ejpam-6479	229	31	exponential	exponential	ADJ
ejpam-6479	229	32	fuzzy	fuzzy	ADJ
ejpam-6479	229	33	graphs	graph	NOUN
ejpam-6479	229	34	with	with	ADP
ejpam-6479	229	35	ϑv	ϑv	ADP
ejpam-6479	229	36	i(w	i(w	NOUN
ejpam-6479	229	37	)	)	PUNCT
ejpam-6479	229	38	=	=	SYM
ejpam-6479	229	39	αv	αv	ADP
ejpam-6479	229	40	i(w	i(w	NOUN
ejpam-6479	229	41	)	)	PUNCT
ejpam-6479	230	1	e−λαv	e−λαv	NOUN
ejpam-6479	231	1	i	i	PRON
ejpam-6479	231	2	(	(	PUNCT
ejpam-6479	231	3	w	w	NOUN
ejpam-6479	231	4	)	)	PUNCT
ejpam-6479	231	5	,	,	PUNCT
ejpam-6479	231	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	231	7	,	,	PUNCT
ejpam-6479	231	8	w	w	NOUN
ejpam-6479	231	9	)	)	PUNCT
ejpam-6479	231	10	=	=	SYM
ejpam-6479	231	11	αei(r	αei(r	PROPN
ejpam-6479	231	12	,	,	PUNCT
ejpam-6479	231	13	w	w	PROPN
ejpam-6479	231	14	)	)	PUNCT
ejpam-6479	231	15	e−λαei	e−λαei	X
ejpam-6479	231	16	(	(	PUNCT
ejpam-6479	231	17	r	r	NOUN
ejpam-6479	231	18	,	,	PUNCT
ejpam-6479	231	19	w	w	NOUN
ejpam-6479	231	20	)	)	PUNCT
ejpam-6479	231	21	,	,	PUNCT
ejpam-6479	231	22	i	i	PRON
ejpam-6479	231	23	=	=	NOUN
ejpam-6479	231	24	1	1	NUM
ejpam-6479	231	25	,	,	PUNCT
ejpam-6479	231	26	2	2	NUM
ejpam-6479	231	27	.	.	PUNCT
ejpam-6479	232	1	their	their	PRON
ejpam-6479	232	2	cartesian	cartesian	ADJ
ejpam-6479	232	3	product	product	NOUN
ejpam-6479	232	4	is	be	AUX
ejpam-6479	232	5	g	g	PROPN
ejpam-6479	232	6	=	=	SYM
ejpam-6479	232	7	g1×g2	g1×g2	PROPN
ejpam-6479	232	8	=	=	SYM
ejpam-6479	232	9	(	(	PUNCT
ejpam-6479	232	10	ev	ev	INTJ
ejpam-6479	232	11	1×v	1×v	NUM
ejpam-6479	232	12	2	2	NUM
ejpam-6479	232	13	,	,	PUNCT
ejpam-6479	232	14	ee1×e2	ee1×e2	PROPN
ejpam-6479	232	15	,	,	PUNCT
ejpam-6479	232	16	ϑv	ϑv	NOUN
ejpam-6479	232	17	,	,	PUNCT
ejpam-6479	232	18	ϑe	ϑe	VERB
ejpam-6479	232	19	)	)	PUNCT
ejpam-6479	232	20	.	.	PUNCT
ejpam-6479	233	1	then	then	ADV
ejpam-6479	233	2	the	the	DET
ejpam-6479	233	3	degree	degree	NOUN
ejpam-6479	233	4	of	of	ADP
ejpam-6479	233	5	vertex	vertex	NOUN
ejpam-6479	233	6	of	of	ADP
ejpam-6479	233	7	cartesian	cartesian	ADJ
ejpam-6479	233	8	product	product	NOUN
ejpam-6479	233	9	is	be	AUX
ejpam-6479	233	10	degg1×g2(r1	degg1×g2(r1	VERB
ejpam-6479	233	11	,	,	PUNCT
ejpam-6479	233	12	w1	w1	NOUN
ejpam-6479	233	13	)	)	PUNCT
ejpam-6479	233	14	,	,	PUNCT
ejpam-6479	233	15	(	(	PUNCT
ejpam-6479	233	16	r2	r2	NOUN
ejpam-6479	233	17	,	,	PUNCT
ejpam-6479	233	18	w2	w2	NOUN
ejpam-6479	233	19	)	)	PUNCT
ejpam-6479	233	20	=	=	PUNCT
ejpam-6479	234	1	∑	∑	PUNCT
ejpam-6479	234	2	r1	r1	PROPN
ejpam-6479	234	3	=	=	NOUN
ejpam-6479	234	4	w1	w1	NOUN
ejpam-6479	234	5	,	,	PUNCT
ejpam-6479	234	6	(	(	PUNCT
ejpam-6479	234	7	r2,w2)∈ee2	r2,w2)∈ee2	X
ejpam-6479	234	8	min{ϑv	min{ϑv	X
ejpam-6479	234	9	1(r1	1(r1	NUM
ejpam-6479	234	10	)	)	PUNCT
ejpam-6479	234	11	,	,	PUNCT
ejpam-6479	234	12	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	234	13	,	,	PUNCT
ejpam-6479	234	14	w2)}+	w2)}+	NOUN
ejpam-6479	234	15	∑	∑	PUNCT
ejpam-6479	234	16	(	(	PUNCT
ejpam-6479	234	17	r1,w1)∈ee1	r1,w1)∈ee1	NOUN
ejpam-6479	234	18	,	,	PUNCT
ejpam-6479	234	19	r2	r2	PROPN
ejpam-6479	234	20	=	=	PROPN
ejpam-6479	234	21	w2	w2	NOUN
ejpam-6479	234	22	min{ϑe1(r1	min{ϑe1(r1	PROPN
ejpam-6479	234	23	,	,	PUNCT
ejpam-6479	234	24	w1	w1	NOUN
ejpam-6479	234	25	)	)	PUNCT
ejpam-6479	234	26	,	,	PUNCT
ejpam-6479	234	27	ϑv	ϑv	ADP
ejpam-6479	234	28	2(r2	2(r2	NUM
ejpam-6479	234	29	)	)	PUNCT
ejpam-6479	234	30	}	}	PUNCT
ejpam-6479	234	31	example	example	NOUN
ejpam-6479	234	32	7	7	NUM
ejpam-6479	234	33	.	.	PUNCT
ejpam-6479	235	1	let	let	VERB
ejpam-6479	235	2	v	v	NOUN
ejpam-6479	235	3	1	1	NUM
ejpam-6479	235	4	=	=	SYM
ejpam-6479	235	5	{	{	PUNCT
ejpam-6479	235	6	r1	r1	PROPN
ejpam-6479	235	7	,	,	PUNCT
ejpam-6479	235	8	r2	r2	PROPN
ejpam-6479	235	9	,	,	PUNCT
ejpam-6479	235	10	r3	r3	PROPN
ejpam-6479	235	11	}	}	PUNCT
ejpam-6479	235	12	,	,	PUNCT
ejpam-6479	235	13	v	v	NOUN
ejpam-6479	235	14	2	2	NUM
ejpam-6479	235	15	=	=	SYM
ejpam-6479	235	16	{	{	PUNCT
ejpam-6479	235	17	w1	w1	NOUN
ejpam-6479	235	18	,	,	PUNCT
ejpam-6479	235	19	w2	w2	NOUN
ejpam-6479	235	20	}	}	PUNCT
ejpam-6479	235	21	,	,	PUNCT
ejpam-6479	235	22	with	with	ADP
ejpam-6479	235	23	λ	λ	PROPN
ejpam-6479	235	24	=	=	SYM
ejpam-6479	235	25	1	1	X
ejpam-6479	235	26	.	.	PUNCT
ejpam-6479	235	27	base	base	NOUN
ejpam-6479	235	28	vertex	vertex	NOUN
ejpam-6479	235	29	-	-	PUNCT
ejpam-6479	235	30	memberships	membership	NOUN
ejpam-6479	235	31	and	and	CCONJ
ejpam-6479	235	32	base	base	NOUN
ejpam-6479	235	33	edge	edge	NOUN
ejpam-6479	235	34	-	-	PUNCT
ejpam-6479	235	35	membership	membership	NOUN
ejpam-6479	235	36	,	,	PUNCT
ejpam-6479	235	37	αv	αv	NOUN
ejpam-6479	235	38	1(r1	1(r1	NUM
ejpam-6479	235	39	)	)	PUNCT
ejpam-6479	235	40	=	=	SYM
ejpam-6479	235	41	0.3	0.3	NUM
ejpam-6479	235	42	,	,	PUNCT
ejpam-6479	235	43	αv	αv	NOUN
ejpam-6479	235	44	1(r2	1(r2	NUM
ejpam-6479	235	45	)	)	PUNCT
ejpam-6479	235	46	=	=	SYM
ejpam-6479	235	47	0.7	0.7	NUM
ejpam-6479	235	48	,	,	PUNCT
ejpam-6479	235	49	αv	αv	NOUN
ejpam-6479	235	50	1(r3	1(r3	NUM
ejpam-6479	235	51	)	)	PUNCT
ejpam-6479	236	1	=	=	SYM
ejpam-6479	236	2	0.5	0.5	NUM
ejpam-6479	236	3	,	,	PUNCT
ejpam-6479	236	4	αv	αv	ADP
ejpam-6479	236	5	2(w1	2(w1	NUM
ejpam-6479	236	6	)	)	PUNCT
ejpam-6479	236	7	=	=	SYM
ejpam-6479	236	8	0.4	0.4	NUM
ejpam-6479	236	9	,	,	PUNCT
ejpam-6479	236	10	αv	αv	NOUN
ejpam-6479	236	11	2(w2	2(w2	NUM
ejpam-6479	236	12	)	)	PUNCT
ejpam-6479	236	13	=	=	SYM
ejpam-6479	236	14	0.4	0.4	NUM
ejpam-6479	236	15	,	,	PUNCT
ejpam-6479	236	16	αe1(r1	αe1(r1	NUM
ejpam-6479	236	17	,	,	PUNCT
ejpam-6479	236	18	r3	r3	PROPN
ejpam-6479	236	19	)	)	PUNCT
ejpam-6479	236	20	=	=	SYM
ejpam-6479	236	21	0.3	0.3	NUM
ejpam-6479	236	22	,	,	PUNCT
ejpam-6479	236	23	αe1(r2	αe1(r2	NUM
ejpam-6479	236	24	,	,	PUNCT
ejpam-6479	236	25	r3	r3	PROPN
ejpam-6479	236	26	)	)	PUNCT
ejpam-6479	236	27	=	=	SYM
ejpam-6479	236	28	0.3	0.3	NUM
ejpam-6479	236	29	,	,	PUNCT
ejpam-6479	236	30	αe2(w1	αe2(w1	NOUN
ejpam-6479	236	31	,	,	PUNCT
ejpam-6479	236	32	w2	w2	NOUN
ejpam-6479	236	33	)	)	PUNCT
ejpam-6479	236	34	=	=	PUNCT
ejpam-6479	237	1	0.3	0.3	X
ejpam-6479	237	2	.	.	PUNCT
ejpam-6479	237	3	compute	compute	NOUN
ejpam-6479	237	4	ϑv	ϑv	ADP
ejpam-6479	237	5	1(r1	1(r1	NUM
ejpam-6479	237	6	)	)	PUNCT
ejpam-6479	237	7	=	=	SYM
ejpam-6479	237	8	0.2222	0.2222	NUM
ejpam-6479	237	9	,	,	PUNCT
ejpam-6479	237	10	ϑv	ϑv	ADP
ejpam-6479	237	11	1(r2	1(r2	NUM
ejpam-6479	237	12	)	)	PUNCT
ejpam-6479	237	13	=	=	SYM
ejpam-6479	237	14	0.3476	0.3476	NUM
ejpam-6479	237	15	,	,	PUNCT
ejpam-6479	237	16	ϑv	ϑv	ADP
ejpam-6479	237	17	1(r3	1(r3	NUM
ejpam-6479	237	18	)	)	PUNCT
ejpam-6479	237	19	=	=	PUNCT
ejpam-6479	238	1	0.3032	0.3032	NUM
ejpam-6479	238	2	,	,	PUNCT
ejpam-6479	238	3	ϑv	ϑv	ADP
ejpam-6479	238	4	2(w1	2(w1	NUM
ejpam-6479	238	5	)	)	PUNCT
ejpam-6479	238	6	=	=	SYM
ejpam-6479	238	7	0.2681	0.2681	NUM
ejpam-6479	238	8	,	,	PUNCT
ejpam-6479	238	9	ϑv	ϑv	ADP
ejpam-6479	238	10	2(w2	2(w2	NUM
ejpam-6479	238	11	)	)	PUNCT
ejpam-6479	238	12	=	=	SYM
ejpam-6479	238	13	0.3292ϑe1(r1	0.3292ϑe1(r1	NOUN
ejpam-6479	238	14	,	,	PUNCT
ejpam-6479	238	15	r3	r3	PROPN
ejpam-6479	238	16	)	)	PUNCT
ejpam-6479	238	17	=	=	SYM
ejpam-6479	238	18	0.1637	0.1637	NUM
ejpam-6479	238	19	,	,	PUNCT
ejpam-6479	238	20	ϑe1(r2	ϑe1(r2	NOUN
ejpam-6479	238	21	,	,	PUNCT
ejpam-6479	238	22	r3	r3	NOUN
ejpam-6479	238	23	)	)	PUNCT
ejpam-6479	238	24	=	=	SYM
ejpam-6479	238	25	0.3032	0.3032	NUM
ejpam-6479	238	26	,	,	PUNCT
ejpam-6479	238	27	ϑe2(w1	ϑe2(w1	NOUN
ejpam-6479	238	28	,	,	PUNCT
ejpam-6479	238	29	w2	w2	NOUN
ejpam-6479	238	30	)	)	PUNCT
ejpam-6479	238	31	=	=	SYM
ejpam-6479	238	32	0.2222	0.2222	NUM
ejpam-6479	238	33	.	.	PUNCT
ejpam-6479	239	1	then	then	ADV
ejpam-6479	239	2	ev	ev	X
ejpam-6479	239	3	=	=	PRON
ejpam-6479	239	4	{	{	PUNCT
ejpam-6479	239	5	(	(	PUNCT
ejpam-6479	239	6	r1	r1	PROPN
ejpam-6479	239	7	,	,	PUNCT
ejpam-6479	239	8	w1	w1	NOUN
ejpam-6479	239	9	)	)	PUNCT
ejpam-6479	239	10	,	,	PUNCT
ejpam-6479	239	11	(	(	PUNCT
ejpam-6479	239	12	r1	r1	NOUN
ejpam-6479	239	13	,	,	PUNCT
ejpam-6479	239	14	w2	w2	NOUN
ejpam-6479	239	15	)	)	PUNCT
ejpam-6479	239	16	,	,	PUNCT
ejpam-6479	239	17	(	(	PUNCT
ejpam-6479	239	18	r2	r2	PROPN
ejpam-6479	239	19	,	,	PUNCT
ejpam-6479	239	20	w1	w1	NOUN
ejpam-6479	239	21	)	)	PUNCT
ejpam-6479	239	22	,	,	PUNCT
ejpam-6479	239	23	(	(	PUNCT
ejpam-6479	239	24	r2	r2	NOUN
ejpam-6479	239	25	,	,	PUNCT
ejpam-6479	239	26	w2	w2	NOUN
ejpam-6479	239	27	)	)	PUNCT
ejpam-6479	239	28	,	,	PUNCT
ejpam-6479	239	29	(	(	PUNCT
ejpam-6479	239	30	r3	r3	PROPN
ejpam-6479	239	31	,	,	PUNCT
ejpam-6479	239	32	w1	w1	NOUN
ejpam-6479	239	33	)	)	PUNCT
ejpam-6479	239	34	,	,	PUNCT
ejpam-6479	239	35	(	(	PUNCT
ejpam-6479	239	36	r3	r3	PROPN
ejpam-6479	239	37	,	,	PUNCT
ejpam-6479	239	38	w2	w2	NOUN
ejpam-6479	239	39	)	)	PUNCT
ejpam-6479	239	40	}	}	PUNCT
ejpam-6479	239	41	with	with	ADP
ejpam-6479	239	42	ϑv	ϑv	ADP
ejpam-6479	239	43	1×v	1×v	PROPN
ejpam-6479	239	44	2(r1	2(r1	NUM
ejpam-6479	239	45	,	,	PUNCT
ejpam-6479	239	46	w1	w1	NOUN
ejpam-6479	239	47	)	)	PUNCT
ejpam-6479	239	48	=	=	SYM
ejpam-6479	239	49	0.2222	0.2222	NUM
ejpam-6479	239	50	,	,	PUNCT
ejpam-6479	239	51	ϑv	ϑv	ADP
ejpam-6479	239	52	1×v	1×v	NUM
ejpam-6479	239	53	2(r1	2(r1	NUM
ejpam-6479	239	54	,	,	PUNCT
ejpam-6479	239	55	w2	w2	NOUN
ejpam-6479	239	56	)	)	PUNCT
ejpam-6479	239	57	=	=	PUNCT
ejpam-6479	240	1	0.2222	0.2222	NUM
ejpam-6479	240	2	ϑv	ϑv	ADP
ejpam-6479	240	3	1×v	1×v	NUM
ejpam-6479	240	4	2(r2	2(r2	NUM
ejpam-6479	240	5	,	,	PUNCT
ejpam-6479	240	6	w1	w1	NOUN
ejpam-6479	240	7	)	)	PUNCT
ejpam-6479	240	8	=	=	SYM
ejpam-6479	241	1	0.2681	0.2681	NUM
ejpam-6479	241	2	,	,	PUNCT
ejpam-6479	241	3	ϑv	ϑv	ADP
ejpam-6479	241	4	1×v	1×v	NUM
ejpam-6479	241	5	2(r2	2(r2	NUM
ejpam-6479	241	6	,	,	PUNCT
ejpam-6479	241	7	w2	w2	NOUN
ejpam-6479	241	8	)	)	PUNCT
ejpam-6479	241	9	=	=	PUNCT
ejpam-6479	242	1	0.3292	0.3292	NUM
ejpam-6479	242	2	ϑv	ϑv	ADP
ejpam-6479	242	3	1×v	1×v	NUM
ejpam-6479	242	4	2(r3	2(r3	NUM
ejpam-6479	242	5	,	,	PUNCT
ejpam-6479	242	6	w1	w1	NOUN
ejpam-6479	242	7	)	)	PUNCT
ejpam-6479	242	8	=	=	SYM
ejpam-6479	243	1	0.2681	0.2681	NUM
ejpam-6479	243	2	,	,	PUNCT
ejpam-6479	243	3	ϑv	ϑv	ADP
ejpam-6479	243	4	1×v	1×v	NUM
ejpam-6479	243	5	2(r3	2(r3	NUM
ejpam-6479	243	6	,	,	PUNCT
ejpam-6479	243	7	w2	w2	NOUN
ejpam-6479	243	8	)	)	PUNCT
ejpam-6479	243	9	=	=	PUNCT
ejpam-6479	244	1	0.3032	0.3032	NUM
ejpam-6479	244	2	ϑe1×e2((r1	ϑe1×e2((r1	NOUN
ejpam-6479	244	3	,	,	PUNCT
ejpam-6479	244	4	w1	w1	NOUN
ejpam-6479	244	5	)	)	PUNCT
ejpam-6479	244	6	,	,	PUNCT
ejpam-6479	244	7	(	(	PUNCT
ejpam-6479	244	8	r1	r1	NOUN
ejpam-6479	244	9	,	,	PUNCT
ejpam-6479	244	10	w2	w2	NOUN
ejpam-6479	244	11	)	)	PUNCT
ejpam-6479	244	12	)	)	PUNCT
ejpam-6479	245	1	=	=	SYM
ejpam-6479	245	2	0.2222	0.2222	NUM
ejpam-6479	245	3	,	,	PUNCT
ejpam-6479	245	4	ϑe1×e2((r1	ϑe1×e2((r1	NOUN
ejpam-6479	245	5	,	,	PUNCT
ejpam-6479	245	6	w1	w1	NOUN
ejpam-6479	245	7	)	)	PUNCT
ejpam-6479	245	8	,	,	PUNCT
ejpam-6479	245	9	(	(	PUNCT
ejpam-6479	245	10	r2	r2	PROPN
ejpam-6479	245	11	,	,	PUNCT
ejpam-6479	245	12	w1	w1	NOUN
ejpam-6479	245	13	)	)	PUNCT
ejpam-6479	245	14	)	)	PUNCT
ejpam-6479	246	1	=	=	PUNCT
ejpam-6479	246	2	0.2222	0.2222	NUM
ejpam-6479	246	3	ϑe1×e2((r2	ϑe1×e2((r2	NOUN
ejpam-6479	246	4	,	,	PUNCT
ejpam-6479	246	5	w1	w1	NOUN
ejpam-6479	246	6	)	)	PUNCT
ejpam-6479	246	7	,	,	PUNCT
ejpam-6479	246	8	(	(	PUNCT
ejpam-6479	246	9	r2	r2	NOUN
ejpam-6479	246	10	,	,	PUNCT
ejpam-6479	246	11	w2	w2	NOUN
ejpam-6479	246	12	)	)	PUNCT
ejpam-6479	246	13	)	)	PUNCT
ejpam-6479	247	1	=	=	SYM
ejpam-6479	247	2	0.2222	0.2222	NUM
ejpam-6479	247	3	,	,	PUNCT
ejpam-6479	247	4	ϑe1×e2((r2	ϑe1×e2((r2	NOUN
ejpam-6479	247	5	,	,	PUNCT
ejpam-6479	247	6	w2	w2	NOUN
ejpam-6479	247	7	)	)	PUNCT
ejpam-6479	247	8	,	,	PUNCT
ejpam-6479	247	9	(	(	PUNCT
ejpam-6479	247	10	r3	r3	PROPN
ejpam-6479	247	11	,	,	PUNCT
ejpam-6479	247	12	w2	w2	NOUN
ejpam-6479	247	13	)	)	PUNCT
ejpam-6479	247	14	)	)	PUNCT
ejpam-6479	248	1	=	=	PUNCT
ejpam-6479	248	2	0.3292	0.3292	NUM
ejpam-6479	248	3	,	,	PUNCT
ejpam-6479	248	4	ϑe1×e2((r3	ϑe1×e2((r3	PROPN
ejpam-6479	248	5	,	,	PUNCT
ejpam-6479	248	6	w1	w1	NOUN
ejpam-6479	248	7	)	)	PUNCT
ejpam-6479	248	8	,	,	PUNCT
ejpam-6479	248	9	(	(	PUNCT
ejpam-6479	248	10	r3	r3	PROPN
ejpam-6479	248	11	,	,	PUNCT
ejpam-6479	248	12	w2	w2	NOUN
ejpam-6479	248	13	)	)	PUNCT
ejpam-6479	248	14	)	)	PUNCT
ejpam-6479	249	1	=	=	SYM
ejpam-6479	249	2	0.2222	0.2222	NUM
ejpam-6479	249	3	w.	w.	PROPN
ejpam-6479	249	4	f.	f.	PROPN
ejpam-6479	249	5	al	al	PROPN
ejpam-6479	249	6	-	-	PUNCT
ejpam-6479	249	7	omeri	omeri	PROPN
ejpam-6479	249	8	et	et	PROPN
ejpam-6479	249	9	al	al	PROPN
ejpam-6479	249	10	.	.	PUNCT
ejpam-6479	249	11	/	/	SYM
ejpam-6479	249	12	eur	eur	PROPN
ejpam-6479	249	13	.	.	PUNCT
ejpam-6479	250	1	j.	j.	PROPN
ejpam-6479	250	2	pure	pure	PROPN
ejpam-6479	250	3	appl	appl	PROPN
ejpam-6479	250	4	.	.	PROPN
ejpam-6479	250	5	math	math	PROPN
ejpam-6479	250	6	,	,	PUNCT
ejpam-6479	250	7	18	18	NUM
ejpam-6479	250	8	(	(	PUNCT
ejpam-6479	250	9	3	3	NUM
ejpam-6479	250	10	)	)	PUNCT
ejpam-6479	250	11	(	(	PUNCT
ejpam-6479	250	12	2025	2025	NUM
ejpam-6479	250	13	)	)	PUNCT
ejpam-6479	250	14	,	,	PUNCT
ejpam-6479	250	15	6479	6479	NUM
ejpam-6479	250	16	11	11	NUM
ejpam-6479	250	17	of	of	ADP
ejpam-6479	250	18	28	28	NUM
ejpam-6479	250	19	figure	figure	NOUN
ejpam-6479	250	20	6	6	NUM
ejpam-6479	250	21	:	:	PUNCT
ejpam-6479	250	22	exponential	exponential	ADJ
ejpam-6479	250	23	fuzzy	fuzzy	ADJ
ejpam-6479	250	24	graph	graph	NOUN
ejpam-6479	250	25	figure	figure	NOUN
ejpam-6479	250	26	7	7	NUM
ejpam-6479	250	27	:	:	PUNCT
ejpam-6479	250	28	exponential	exponential	ADJ
ejpam-6479	250	29	fuzzy	fuzzy	ADJ
ejpam-6479	250	30	graph	graph	NOUN
ejpam-6479	250	31	proposition	proposition	NOUN
ejpam-6479	250	32	1	1	NUM
ejpam-6479	250	33	.	.	PUNCT
ejpam-6479	251	1	let	let	VERB
ejpam-6479	251	2	g	g	NOUN
ejpam-6479	251	3	be	be	AUX
ejpam-6479	251	4	the	the	DET
ejpam-6479	251	5	cartesian	cartesian	ADJ
ejpam-6479	251	6	product	product	NOUN
ejpam-6479	251	7	of	of	ADP
ejpam-6479	251	8	efgs	efgs	PROPN
ejpam-6479	251	9	g1	g1	PROPN
ejpam-6479	251	10	and	and	CCONJ
ejpam-6479	251	11	g2	g2	PROPN
ejpam-6479	251	12	.	.	PUNCT
ejpam-6479	252	1	let	let	AUX
ejpam-6479	252	2	(	(	PUNCT
ejpam-6479	252	3	ϑv	ϑv	ADP
ejpam-6479	252	4	i	i	PRON
ejpam-6479	252	5	,	,	PUNCT
ejpam-6479	252	6	ϑei	ϑei	NOUN
ejpam-6479	252	7	)	)	PUNCT
ejpam-6479	252	8	be	be	AUX
ejpam-6479	252	9	a	a	DET
ejpam-6479	252	10	exponential	exponential	ADJ
ejpam-6479	252	11	fuzzy	fuzzy	ADJ
ejpam-6479	252	12	subgraph	subgraph	NOUN
ejpam-6479	252	13	of	of	ADP
ejpam-6479	252	14	gi	gi	NOUN
ejpam-6479	252	15	,	,	PUNCT
ejpam-6479	252	16	i	i	PRON
ejpam-6479	252	17	=	=	NOUN
ejpam-6479	252	18	1	1	NUM
ejpam-6479	252	19	,	,	PUNCT
ejpam-6479	252	20	2	2	NUM
ejpam-6479	252	21	.	.	PUNCT
ejpam-6479	253	1	then	then	ADV
ejpam-6479	253	2	the	the	DET
ejpam-6479	253	3	cartesian	cartesian	ADJ
ejpam-6479	253	4	product	product	NOUN
ejpam-6479	253	5	(	(	PUNCT
ejpam-6479	253	6	ϑv	ϑv	ADP
ejpam-6479	253	7	1×v	1×v	NUM
ejpam-6479	253	8	2	2	NUM
ejpam-6479	253	9	,	,	PUNCT
ejpam-6479	253	10	ϑe1×e2	ϑe1×e2	PROPN
ejpam-6479	253	11	)	)	PUNCT
ejpam-6479	253	12	is	be	AUX
ejpam-6479	253	13	a	a	DET
ejpam-6479	253	14	exponential	exponential	ADJ
ejpam-6479	253	15	fuzzy	fuzzy	ADJ
ejpam-6479	253	16	subgraph	subgraph	NOUN
ejpam-6479	253	17	.	.	PUNCT
ejpam-6479	254	1	proof	proof	NOUN
ejpam-6479	254	2	.	.	PUNCT
ejpam-6479	255	1	ϑe1×e2	ϑe1×e2	PROPN
ejpam-6479	255	2	(	(	PUNCT
ejpam-6479	255	3	(	(	PUNCT
ejpam-6479	255	4	r1	r1	PROPN
ejpam-6479	255	5	,	,	PUNCT
ejpam-6479	255	6	w1	w1	NOUN
ejpam-6479	255	7	)	)	PUNCT
ejpam-6479	255	8	,	,	PUNCT
ejpam-6479	255	9	(	(	PUNCT
ejpam-6479	255	10	r2	r2	NOUN
ejpam-6479	255	11	,	,	PUNCT
ejpam-6479	255	12	w2	w2	NOUN
ejpam-6479	255	13	)	)	PUNCT
ejpam-6479	255	14	)	)	PUNCT
ejpam-6479	256	1	=	=	X
ejpam-6479	256	2	min{ϑv	min{ϑv	NUM
ejpam-6479	256	3	1(r1	1(r1	NUM
ejpam-6479	256	4	)	)	PUNCT
ejpam-6479	256	5	,	,	PUNCT
ejpam-6479	256	6	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	256	7	,	,	PUNCT
ejpam-6479	256	8	w2	w2	NOUN
ejpam-6479	256	9	)	)	PUNCT
ejpam-6479	256	10	}	}	PUNCT
ejpam-6479	256	11	,	,	PUNCT
ejpam-6479	256	12	r1	r1	PROPN
ejpam-6479	256	13	=	=	SYM
ejpam-6479	256	14	w1	w1	PROPN
ejpam-6479	256	15	,	,	PUNCT
ejpam-6479	256	16	(	(	PUNCT
ejpam-6479	256	17	r2	r2	PROPN
ejpam-6479	256	18	,	,	PUNCT
ejpam-6479	256	19	w2	w2	NOUN
ejpam-6479	256	20	)	)	PUNCT
ejpam-6479	256	21	∈	∈	PROPN
ejpam-6479	256	22	ee2	ee2	NOUN
ejpam-6479	256	23	=	=	X
ejpam-6479	256	24	min{ϑv	min{ϑv	X
ejpam-6479	256	25	1(r1),min{ϑv	1(r1),min{ϑv	NUM
ejpam-6479	256	26	2(r2	2(r2	NUM
ejpam-6479	256	27	)	)	PUNCT
ejpam-6479	256	28	,	,	PUNCT
ejpam-6479	256	29	ϑv	ϑv	ADP
ejpam-6479	256	30	2(w2	2(w2	NUM
ejpam-6479	256	31	)	)	PUNCT
ejpam-6479	256	32	}	}	PUNCT
ejpam-6479	256	33	}	}	PUNCT
ejpam-6479	256	34	=	=	NUM
ejpam-6479	256	35	min{min{ϑv	min{min{ϑv	NOUN
ejpam-6479	256	36	1(r1	1(r1	NUM
ejpam-6479	256	37	)	)	PUNCT
ejpam-6479	256	38	,	,	PUNCT
ejpam-6479	256	39	ϑv	ϑv	ADP
ejpam-6479	256	40	2(r2)},min{ϑv	2(r2)},min{ϑv	ADJ
ejpam-6479	256	41	1(r1	1(r1	NUM
ejpam-6479	256	42	)	)	PUNCT
ejpam-6479	256	43	,	,	PUNCT
ejpam-6479	256	44	ϑv	ϑv	ADP
ejpam-6479	256	45	2(w2	2(w2	NUM
ejpam-6479	256	46	)	)	PUNCT
ejpam-6479	256	47	}	}	PUNCT
ejpam-6479	256	48	}	}	PUNCT
ejpam-6479	256	49	=	=	NUM
ejpam-6479	256	50	min{ϑv	min{ϑv	NOUN
ejpam-6479	256	51	1×v	1×v	NUM
ejpam-6479	256	52	2(r1	2(r1	NUM
ejpam-6479	256	53	,	,	PUNCT
ejpam-6479	256	54	r2	r2	PROPN
ejpam-6479	256	55	)	)	PUNCT
ejpam-6479	256	56	,	,	PUNCT
ejpam-6479	256	57	ϑv	ϑv	ADP
ejpam-6479	256	58	1×v	1×v	NUM
ejpam-6479	256	59	2(r1	2(r1	NUM
ejpam-6479	256	60	,	,	PUNCT
ejpam-6479	256	61	r2	r2	PROPN
ejpam-6479	256	62	)	)	PUNCT
ejpam-6479	256	63	}	}	PUNCT
ejpam-6479	256	64	w.	w.	PROPN
ejpam-6479	256	65	f.	f.	PROPN
ejpam-6479	256	66	al	al	PROPN
ejpam-6479	256	67	-	-	PUNCT
ejpam-6479	256	68	omeri	omeri	PROPN
ejpam-6479	256	69	et	et	PROPN
ejpam-6479	256	70	al	al	PROPN
ejpam-6479	256	71	.	.	PUNCT
ejpam-6479	256	72	/	/	SYM
ejpam-6479	256	73	eur	eur	PROPN
ejpam-6479	256	74	.	.	PUNCT
ejpam-6479	257	1	j.	j.	PROPN
ejpam-6479	257	2	pure	pure	PROPN
ejpam-6479	257	3	appl	appl	PROPN
ejpam-6479	257	4	.	.	PROPN
ejpam-6479	257	5	math	math	PROPN
ejpam-6479	257	6	,	,	PUNCT
ejpam-6479	257	7	18	18	NUM
ejpam-6479	257	8	(	(	PUNCT
ejpam-6479	257	9	3	3	NUM
ejpam-6479	257	10	)	)	PUNCT
ejpam-6479	257	11	(	(	PUNCT
ejpam-6479	257	12	2025	2025	NUM
ejpam-6479	257	13	)	)	PUNCT
ejpam-6479	257	14	,	,	PUNCT
ejpam-6479	257	15	6479	6479	NUM
ejpam-6479	257	16	12	12	NUM
ejpam-6479	257	17	of	of	ADP
ejpam-6479	257	18	28	28	NUM
ejpam-6479	257	19	the	the	DET
ejpam-6479	257	20	exponential	exponential	ADJ
ejpam-6479	257	21	fuzzy	fuzzy	ADJ
ejpam-6479	257	22	graph	graph	NOUN
ejpam-6479	257	23	(	(	PUNCT
ejpam-6479	257	24	ev	ev	INTJ
ejpam-6479	257	25	1×v	1×v	NUM
ejpam-6479	257	26	2	2	NUM
ejpam-6479	257	27	,	,	PUNCT
ejpam-6479	257	28	ee1	ee1	PROPN
ejpam-6479	257	29	×	×	NOUN
ejpam-6479	257	30	ee2	ee2	NOUN
ejpam-6479	257	31	)	)	PUNCT
ejpam-6479	257	32	of	of	ADP
ejpam-6479	257	33	proposition	proposition	NOUN
ejpam-6479	257	34	is	be	AUX
ejpam-6479	257	35	called	call	VERB
ejpam-6479	257	36	the	the	DET
ejpam-6479	257	37	cartesian	cartesian	ADJ
ejpam-6479	257	38	product	product	NOUN
ejpam-6479	257	39	of	of	ADP
ejpam-6479	257	40	(	(	PUNCT
ejpam-6479	257	41	ϑv	ϑv	PART
ejpam-6479	257	42	1×v	1×v	NUM
ejpam-6479	257	43	2	2	NUM
ejpam-6479	257	44	,	,	PUNCT
ejpam-6479	257	45	ϑe1×e2	ϑe1×e2	PROPN
ejpam-6479	257	46	)	)	PUNCT
ejpam-6479	257	47	.	.	PUNCT
ejpam-6479	258	1	theorem	theorem	NOUN
ejpam-6479	258	2	1	1	NUM
ejpam-6479	258	3	.	.	PUNCT
ejpam-6479	258	4	assume	assume	VERB
ejpam-6479	258	5	that	that	SCONJ
ejpam-6479	258	6	g	g	PROPN
ejpam-6479	258	7	is	be	AUX
ejpam-6479	258	8	a	a	DET
ejpam-6479	258	9	cartesian	cartesian	ADJ
ejpam-6479	258	10	product	product	NOUN
ejpam-6479	258	11	of	of	ADP
ejpam-6479	258	12	efgs	efgs	NOUN
ejpam-6479	258	13	g1	g1	PROPN
ejpam-6479	258	14	and	and	CCONJ
ejpam-6479	258	15	g2	g2	PROPN
ejpam-6479	258	16	.	.	PUNCT
ejpam-6479	259	1	let	let	AUX
ejpam-6479	259	2	(	(	PUNCT
ejpam-6479	259	3	ϑv	ϑv	PART
ejpam-6479	259	4	,	,	PUNCT
ejpam-6479	259	5	ϑe	ϑe	VERB
ejpam-6479	259	6	)	)	PUNCT
ejpam-6479	259	7	be	be	AUX
ejpam-6479	259	8	a	a	DET
ejpam-6479	259	9	exponential	exponential	ADJ
ejpam-6479	259	10	fuzzy	fuzzy	ADJ
ejpam-6479	259	11	subgraph	subgraph	NOUN
ejpam-6479	259	12	of	of	ADP
ejpam-6479	259	13	g.	g.	PROPN
ejpam-6479	259	14	then	then	ADV
ejpam-6479	259	15	(	(	PUNCT
ejpam-6479	259	16	ϑv	ϑv	INTJ
ejpam-6479	259	17	,	,	PUNCT
ejpam-6479	259	18	ϑe	ϑe	VERB
ejpam-6479	259	19	)	)	PUNCT
ejpam-6479	259	20	is	be	AUX
ejpam-6479	259	21	a	a	DET
ejpam-6479	259	22	cartesian	cartesian	ADJ
ejpam-6479	259	23	product	product	NOUN
ejpam-6479	259	24	of	of	ADP
ejpam-6479	259	25	a	a	DET
ejpam-6479	259	26	exponential	exponential	ADJ
ejpam-6479	259	27	fuzzy	fuzzy	ADJ
ejpam-6479	259	28	subgraph	subgraph	NOUN
ejpam-6479	259	29	of	of	ADP
ejpam-6479	259	30	g1	g1	PROPN
ejpam-6479	259	31	and	and	CCONJ
ejpam-6479	259	32	g2	g2	PROPN
ejpam-6479	259	33	and	and	CCONJ
ejpam-6479	259	34	iff	iff	VERB
ejpam-6479	259	35	the	the	DET
ejpam-6479	259	36	following	follow	VERB
ejpam-6479	259	37	equations	equation	NOUN
ejpam-6479	259	38	has	have	VERB
ejpam-6479	259	39	many	many	ADJ
ejpam-6479	259	40	outputs	output	NOUN
ejpam-6479	259	41	for	for	ADP
ejpam-6479	259	42	ak	ak	PROPN
ejpam-6479	259	43	,	,	PUNCT
ejpam-6479	259	44	bm	bm	PROPN
ejpam-6479	259	45	,	,	PUNCT
ejpam-6479	259	46	cmn	cmn	PROPN
ejpam-6479	259	47	,	,	PUNCT
ejpam-6479	259	48	dkl	dkl	PROPN
ejpam-6479	259	49	,	,	PUNCT
ejpam-6479	259	50	where	where	SCONJ
ejpam-6479	259	51	v	v	NOUN
ejpam-6479	259	52	1	1	NUM
ejpam-6479	259	53	=	=	SYM
ejpam-6479	259	54	{	{	PUNCT
ejpam-6479	259	55	w11	w11	PROPN
ejpam-6479	259	56	,	,	PUNCT
ejpam-6479	259	57	w12	w12	NOUN
ejpam-6479	259	58	·	·	PUNCT
ejpam-6479	259	59	·	·	PUNCT
ejpam-6479	259	60	·	·	PUNCT
ejpam-6479	259	61	w1i	w1i	NUM
ejpam-6479	259	62	}	}	PUNCT
ejpam-6479	259	63	and	and	CCONJ
ejpam-6479	259	64	v	v	ADP
ejpam-6479	259	65	2	2	NUM
ejpam-6479	259	66	=	=	SYM
ejpam-6479	259	67	{	{	PUNCT
ejpam-6479	259	68	w21	w21	PROPN
ejpam-6479	259	69	,	,	PUNCT
ejpam-6479	259	70	w22	w22	X
ejpam-6479	259	71	·	·	PUNCT
ejpam-6479	259	72	·	·	PUNCT
ejpam-6479	259	73	·	·	PUNCT
ejpam-6479	259	74	w2j	w2j	NOUN
ejpam-6479	259	75	}	}	PUNCT
ejpam-6479	259	76	:	:	PUNCT
ejpam-6479	259	77	min{ak	min{ak	PROPN
ejpam-6479	259	78	,	,	PUNCT
ejpam-6479	259	79	bm	bm	NOUN
ejpam-6479	259	80	}	}	PUNCT
ejpam-6479	259	81	=	=	VERB
ejpam-6479	259	82	ϑv	ϑv	NOUN
ejpam-6479	259	83	(	(	PUNCT
ejpam-6479	259	84	w1k	w1k	PROPN
ejpam-6479	259	85	,	,	PUNCT
ejpam-6479	259	86	w2	w2	NOUN
ejpam-6479	259	87	m	m	PROPN
ejpam-6479	259	88	)	)	PUNCT
ejpam-6479	259	89	,	,	PUNCT
ejpam-6479	259	90	k	k	PROPN
ejpam-6479	259	91	=	=	SYM
ejpam-6479	259	92	1	1	NUM
ejpam-6479	259	93	,	,	PUNCT
ejpam-6479	259	94	·	·	PUNCT
ejpam-6479	259	95	·	·	PUNCT
ejpam-6479	259	96	·	·	PUNCT
ejpam-6479	259	97	,	,	PUNCT
ejpam-6479	259	98	i;m	i;m	PUNCT
ejpam-6479	260	1	=	=	NOUN
ejpam-6479	260	2	1	1	NUM
ejpam-6479	260	3	,	,	PUNCT
ejpam-6479	260	4	·	·	PUNCT
ejpam-6479	260	5	·	·	PUNCT
ejpam-6479	260	6	·	·	PUNCT
ejpam-6479	260	7	,	,	PUNCT
ejpam-6479	260	8	j	j	PROPN
ejpam-6479	260	9	,	,	PUNCT
ejpam-6479	260	10	(	(	PUNCT
ejpam-6479	260	11	1	1	X
ejpam-6479	260	12	)	)	PUNCT
ejpam-6479	260	13	min{ak	min{ak	VERB
ejpam-6479	260	14	,	,	PUNCT
ejpam-6479	260	15	cmn	cmn	VERB
ejpam-6479	260	16	}	}	PUNCT
ejpam-6479	260	17	=	=	SYM
ejpam-6479	260	18	ϑe((w1k	ϑe((w1k	PROPN
ejpam-6479	260	19	,	,	PUNCT
ejpam-6479	260	20	w2	w2	NOUN
ejpam-6479	260	21	m	m	PROPN
ejpam-6479	260	22	)	)	PUNCT
ejpam-6479	260	23	,	,	PUNCT
ejpam-6479	260	24	(	(	PUNCT
ejpam-6479	260	25	w1k	w1k	PROPN
ejpam-6479	260	26	,	,	PUNCT
ejpam-6479	260	27	w2n	w2n	X
ejpam-6479	260	28	)	)	PUNCT
ejpam-6479	260	29	)	)	PUNCT
ejpam-6479	260	30	,	,	PUNCT
ejpam-6479	261	1	k	k	PROPN
ejpam-6479	261	2	=	=	SYM
ejpam-6479	261	3	1	1	NUM
ejpam-6479	261	4	,	,	PUNCT
ejpam-6479	261	5	·	·	PUNCT
ejpam-6479	261	6	·	·	PUNCT
ejpam-6479	261	7	·	·	PUNCT
ejpam-6479	261	8	,	,	PUNCT
ejpam-6479	261	9	i	i	PRON
ejpam-6479	261	10	;	;	PUNCT
ejpam-6479	261	11	and	and	CCONJ
ejpam-6479	261	12	m	m	PROPN
ejpam-6479	261	13	,	,	PUNCT
ejpam-6479	261	14	n	n	PRON
ejpam-6479	261	15	are	be	AUX
ejpam-6479	261	16	such	such	ADJ
ejpam-6479	261	17	that	that	SCONJ
ejpam-6479	261	18	w2mw2n	w2mw2n	PUNCT
ejpam-6479	261	19	∈	∈	PROPN
ejpam-6479	261	20	ee2	ee2	NOUN
ejpam-6479	261	21	(	(	PUNCT
ejpam-6479	261	22	2	2	NUM
ejpam-6479	261	23	)	)	PUNCT
ejpam-6479	261	24	min{bm	min{bm	PROPN
ejpam-6479	261	25	,	,	PUNCT
ejpam-6479	261	26	dkl	dkl	PROPN
ejpam-6479	261	27	}	}	PUNCT
ejpam-6479	261	28	=	=	SYM
ejpam-6479	261	29	ϑe((w1k	ϑe((w1k	PROPN
ejpam-6479	261	30	,	,	PUNCT
ejpam-6479	261	31	w2	w2	NOUN
ejpam-6479	261	32	m	m	PROPN
ejpam-6479	261	33	)	)	PUNCT
ejpam-6479	261	34	,	,	PUNCT
ejpam-6479	261	35	(	(	PUNCT
ejpam-6479	261	36	w1l	w1l	PROPN
ejpam-6479	261	37	,	,	PUNCT
ejpam-6479	261	38	w2	w2	NOUN
ejpam-6479	261	39	m	m	PROPN
ejpam-6479	261	40	)	)	PUNCT
ejpam-6479	261	41	)	)	PUNCT
ejpam-6479	261	42	,	,	PUNCT
ejpam-6479	261	43	m	m	VERB
ejpam-6479	261	44	=	=	NOUN
ejpam-6479	261	45	1	1	NUM
ejpam-6479	261	46	,	,	PUNCT
ejpam-6479	261	47	·	·	PUNCT
ejpam-6479	261	48	·	·	PUNCT
ejpam-6479	261	49	·	·	PUNCT
ejpam-6479	261	50	,	,	PUNCT
ejpam-6479	261	51	j	j	NOUN
ejpam-6479	261	52	;	;	PUNCT
ejpam-6479	261	53	and	and	CCONJ
ejpam-6479	261	54	k	k	NOUN
ejpam-6479	261	55	,	,	PUNCT
ejpam-6479	261	56	l	l	NOUN
ejpam-6479	261	57	are	be	AUX
ejpam-6479	261	58	such	such	ADJ
ejpam-6479	261	59	that	that	DET
ejpam-6479	261	60	w1kw1l	w1kw1l	ADJ
ejpam-6479	261	61	∈	∈	PROPN
ejpam-6479	261	62	ee1	ee1	PROPN
ejpam-6479	261	63	(	(	PUNCT
ejpam-6479	261	64	3	3	X
ejpam-6479	261	65	)	)	PUNCT
ejpam-6479	261	66	proof	proof	NOUN
ejpam-6479	261	67	.	.	PUNCT
ejpam-6479	262	1	the	the	DET
ejpam-6479	262	2	given	give	VERB
ejpam-6479	262	3	equations	equation	NOUN
ejpam-6479	262	4	(	(	PUNCT
ejpam-6479	262	5	1),(2	1),(2	NUM
ejpam-6479	262	6	)	)	PUNCT
ejpam-6479	262	7	and	and	CCONJ
ejpam-6479	262	8	(	(	PUNCT
ejpam-6479	262	9	3	3	X
ejpam-6479	262	10	)	)	PUNCT
ejpam-6479	262	11	have	have	VERB
ejpam-6479	262	12	a	a	DET
ejpam-6479	262	13	solution	solution	NOUN
ejpam-6479	262	14	.	.	PUNCT
ejpam-6479	263	1	consider	consider	VERB
ejpam-6479	263	2	an	an	DET
ejpam-6479	263	3	arbitrary	arbitrary	ADJ
ejpam-6479	263	4	,	,	PUNCT
ejpam-6479	263	5	but	but	CCONJ
ejpam-6479	263	6	m	m	PROPN
ejpam-6479	263	7	,	,	PUNCT
ejpam-6479	263	8	n	n	PRON
ejpam-6479	263	9	fixed	fix	VERB
ejpam-6479	263	10	in	in	ADP
ejpam-6479	263	11	equation	equation	NOUN
ejpam-6479	263	12	(	(	PUNCT
ejpam-6479	263	13	2	2	NUM
ejpam-6479	263	14	)	)	PUNCT
ejpam-6479	263	15	and	and	CCONJ
ejpam-6479	263	16	k	k	NOUN
ejpam-6479	263	17	,	,	PUNCT
ejpam-6479	263	18	l	l	PROPN
ejpam-6479	263	19	fixed	fix	VERB
ejpam-6479	263	20	in	in	ADP
ejpam-6479	263	21	equation	equation	NOUN
ejpam-6479	263	22	(	(	PUNCT
ejpam-6479	263	23	3	3	NUM
ejpam-6479	263	24	)	)	PUNCT
ejpam-6479	263	25	.	.	PUNCT
ejpam-6479	264	1	let	let	VERB
ejpam-6479	264	2	ĉmn	ĉmn	ADP
ejpam-6479	264	3	=	=	SYM
ejpam-6479	264	4	max{ϑe((w1k	max{ϑe((w1k	PROPN
ejpam-6479	264	5	,	,	PUNCT
ejpam-6479	264	6	w2	w2	NOUN
ejpam-6479	264	7	m	m	PROPN
ejpam-6479	264	8	)	)	PUNCT
ejpam-6479	264	9	,	,	PUNCT
ejpam-6479	264	10	(	(	PUNCT
ejpam-6479	264	11	w1k	w1k	PROPN
ejpam-6479	264	12	,	,	PUNCT
ejpam-6479	264	13	w2n))|k	w2n))|k	PROPN
ejpam-6479	264	14	=	=	SYM
ejpam-6479	264	15	1	1	NUM
ejpam-6479	264	16	,	,	PUNCT
ejpam-6479	264	17	·	·	PUNCT
ejpam-6479	264	18	·	·	PUNCT
ejpam-6479	264	19	·	·	PUNCT
ejpam-6479	264	20	,	,	PUNCT
ejpam-6479	264	21	i	i	PRON
ejpam-6479	264	22	}	}	PUNCT
ejpam-6479	264	23	and	and	CCONJ
ejpam-6479	264	24	d̂kl	d̂kl	NOUN
ejpam-6479	264	25	=	=	SYM
ejpam-6479	264	26	max{ϑe((w1k	max{ϑe((w1k	PROPN
ejpam-6479	264	27	,	,	PUNCT
ejpam-6479	264	28	w2	w2	NOUN
ejpam-6479	264	29	m	m	PROPN
ejpam-6479	264	30	)	)	PUNCT
ejpam-6479	264	31	,	,	PUNCT
ejpam-6479	264	32	(	(	PUNCT
ejpam-6479	264	33	w1l	w1l	PROPN
ejpam-6479	264	34	,	,	PUNCT
ejpam-6479	264	35	w2m))|m	w2m))|m	PROPN
ejpam-6479	264	36	=	=	SYM
ejpam-6479	264	37	1	1	NUM
ejpam-6479	264	38	,	,	PUNCT
ejpam-6479	264	39	·	·	PUNCT
ejpam-6479	264	40	·	·	PUNCT
ejpam-6479	264	41	·	·	PUNCT
ejpam-6479	264	42	,	,	PUNCT
ejpam-6479	264	43	j	j	PROPN
ejpam-6479	264	44	}	}	PUNCT
ejpam-6479	264	45	.	.	PUNCT
ejpam-6479	265	1	then	then	ADV
ejpam-6479	265	2	the	the	DET
ejpam-6479	265	3	set	set	NOUN
ejpam-6479	265	4	of	of	ADP
ejpam-6479	265	5	the	the	DET
ejpam-6479	265	6	subgraphs	subgraph	NOUN
ejpam-6479	265	7	m	m	VERB
ejpam-6479	265	8	=	=	SYM
ejpam-6479	265	9	{	{	PUNCT
ejpam-6479	265	10	(	(	PUNCT
ejpam-6479	265	11	m	m	PROPN
ejpam-6479	265	12	,	,	PUNCT
ejpam-6479	265	13	n)|m	n)|m	PROPN
ejpam-6479	265	14	,	,	PUNCT
ejpam-6479	265	15	n	n	PRON
ejpam-6479	265	16	are	be	AUX
ejpam-6479	265	17	such	such	ADJ
ejpam-6479	265	18	that	that	SCONJ
ejpam-6479	265	19	w2mw2n	w2mw2n	PUNCT
ejpam-6479	265	20	∈	∈	PROPN
ejpam-6479	265	21	ee2	ee2	X
ejpam-6479	265	22	}	}	PUNCT
ejpam-6479	265	23	and	and	CCONJ
ejpam-6479	265	24	k	k	PROPN
ejpam-6479	266	1	=	=	PRON
ejpam-6479	266	2	{	{	PUNCT
ejpam-6479	266	3	(	(	PUNCT
ejpam-6479	266	4	k	k	NOUN
ejpam-6479	266	5	,	,	PUNCT
ejpam-6479	266	6	l)|k	l)|k	PROPN
ejpam-6479	266	7	,	,	PUNCT
ejpam-6479	266	8	l	l	NOUN
ejpam-6479	266	9	are	be	AUX
ejpam-6479	266	10	such	such	ADJ
ejpam-6479	266	11	that	that	PRON
ejpam-6479	266	12	w1kw1l	w1kw1l	NOUN
ejpam-6479	266	13	∈	∈	PROPN
ejpam-6479	266	14	ee1	ee1	PROPN
ejpam-6479	266	15	}	}	PUNCT
ejpam-6479	266	16	.	.	PUNCT
ejpam-6479	267	1	now	now	ADV
ejpam-6479	267	2	if	if	SCONJ
ejpam-6479	267	3	{	{	PUNCT
ejpam-6479	267	4	x1	x1	PROPN
ejpam-6479	267	5	,	,	PUNCT
ejpam-6479	267	6	·	·	PUNCT
ejpam-6479	267	7	·	·	PUNCT
ejpam-6479	267	8	·	·	PUNCT
ejpam-6479	267	9	,	,	PUNCT
ejpam-6479	267	10	xn	xn	X
ejpam-6479	267	11	}	}	PUNCT
ejpam-6479	267	12	∪	∪	ADJ
ejpam-6479	267	13	{	{	PUNCT
ejpam-6479	267	14	cmn|(m	cmn|(m	X
ejpam-6479	267	15	,	,	PUNCT
ejpam-6479	267	16	n	n	CCONJ
ejpam-6479	267	17	)	)	PUNCT
ejpam-6479	267	18	∈	∈	PROPN
ejpam-6479	267	19	j	j	PROPN
ejpam-6479	267	20	}	}	PUNCT
ejpam-6479	267	21	∪	∪	NOUN
ejpam-6479	267	22	{	{	PUNCT
ejpam-6479	267	23	y1	y1	NOUN
ejpam-6479	267	24	,	,	PUNCT
ejpam-6479	267	25	·	·	PUNCT
ejpam-6479	267	26	·	·	PUNCT
ejpam-6479	267	27	·	·	PUNCT
ejpam-6479	267	28	,	,	PUNCT
ejpam-6479	267	29	ym	ym	PRON
ejpam-6479	267	30	}	}	PUNCT
ejpam-6479	267	31	∪	∪	X
ejpam-6479	267	32	{	{	PUNCT
ejpam-6479	267	33	dkl|(k	dkl|(k	PROPN
ejpam-6479	267	34	,	,	PUNCT
ejpam-6479	267	35	l	l	NOUN
ejpam-6479	267	36	)	)	PUNCT
ejpam-6479	267	37	∈	∈	PROPN
ejpam-6479	267	38	i	i	PRON
ejpam-6479	267	39	}	}	PUNCT
ejpam-6479	267	40	is	be	AUX
ejpam-6479	267	41	any	any	DET
ejpam-6479	267	42	solution	solution	NOUN
ejpam-6479	267	43	to	to	ADP
ejpam-6479	267	44	(	(	PUNCT
ejpam-6479	267	45	1),(2	1),(2	NUM
ejpam-6479	267	46	)	)	PUNCT
ejpam-6479	267	47	and	and	CCONJ
ejpam-6479	267	48	(	(	PUNCT
ejpam-6479	267	49	3	3	X
ejpam-6479	267	50	)	)	PUNCT
ejpam-6479	267	51	then	then	ADV
ejpam-6479	267	52	{	{	PUNCT
ejpam-6479	267	53	x1	x1	PROPN
ejpam-6479	267	54	,	,	PUNCT
ejpam-6479	267	55	·	·	PUNCT
ejpam-6479	267	56	·	·	PUNCT
ejpam-6479	267	57	·	·	PUNCT
ejpam-6479	267	58	,	,	PUNCT
ejpam-6479	267	59	xi	xi	X
ejpam-6479	267	60	}	}	PUNCT
ejpam-6479	267	61	∪	∪	NOUN
ejpam-6479	267	62	{	{	PUNCT
ejpam-6479	267	63	ĉmn|(m	ĉmn|(m	NOUN
ejpam-6479	267	64	,	,	PUNCT
ejpam-6479	267	65	n	n	CCONJ
ejpam-6479	267	66	)	)	PUNCT
ejpam-6479	267	67	∈	∈	PROPN
ejpam-6479	267	68	j	j	PROPN
ejpam-6479	267	69	}	}	PUNCT
ejpam-6479	267	70	∪	∪	NOUN
ejpam-6479	267	71	{	{	PUNCT
ejpam-6479	267	72	y1	y1	NOUN
ejpam-6479	267	73	,	,	PUNCT
ejpam-6479	267	74	·	·	PUNCT
ejpam-6479	267	75	·	·	PUNCT
ejpam-6479	267	76	·	·	PUNCT
ejpam-6479	267	77	,	,	PUNCT
ejpam-6479	267	78	yj	yj	PROPN
ejpam-6479	267	79	}	}	PUNCT
ejpam-6479	267	80	∪	∪	ADJ
ejpam-6479	267	81	{	{	PUNCT
ejpam-6479	267	82	d̂kl|(k	d̂kl|(k	PROPN
ejpam-6479	267	83	,	,	PUNCT
ejpam-6479	267	84	l	l	NOUN
ejpam-6479	267	85	)	)	PUNCT
ejpam-6479	267	86	∈	∈	PROPN
ejpam-6479	268	1	i	i	PRON
ejpam-6479	268	2	}	}	PUNCT
ejpam-6479	268	3	is	be	AUX
ejpam-6479	268	4	also	also	ADV
ejpam-6479	268	5	a	a	DET
ejpam-6479	268	6	solution	solution	NOUN
ejpam-6479	268	7	and	and	CCONJ
ejpam-6479	268	8	in	in	ADP
ejpam-6479	268	9	fact	fact	NOUN
ejpam-6479	268	10	,	,	PUNCT
ejpam-6479	268	11	ĉmn	ĉmn	SCONJ
ejpam-6479	268	12	is	be	AUX
ejpam-6479	268	13	the	the	DET
ejpam-6479	268	14	smallest	small	ADJ
ejpam-6479	268	15	possible	possible	ADJ
ejpam-6479	268	16	cmn	cmn	NOUN
ejpam-6479	268	17	and	and	CCONJ
ejpam-6479	268	18	d̂kl	d̂kl	NOUN
ejpam-6479	268	19	is	be	AUX
ejpam-6479	268	20	the	the	DET
ejpam-6479	268	21	smallest	small	ADJ
ejpam-6479	268	22	possible	possible	ADJ
ejpam-6479	268	23	dkl	dkl	PROPN
ejpam-6479	268	24	.	.	PUNCT
ejpam-6479	269	1	let	let	VERB
ejpam-6479	269	2	us	we	PRON
ejpam-6479	269	3	fix	fix	VERB
ejpam-6479	269	4	a	a	DET
ejpam-6479	269	5	solution	solution	NOUN
ejpam-6479	269	6	of	of	ADP
ejpam-6479	269	7	this	this	DET
ejpam-6479	269	8	kind	kind	NOUN
ejpam-6479	269	9	and	and	CCONJ
ejpam-6479	269	10	define	define	VERB
ejpam-6479	269	11	the	the	DET
ejpam-6479	269	12	exponential	exponential	ADJ
ejpam-6479	269	13	fuzzy	fuzzy	ADJ
ejpam-6479	269	14	subsets	subset	NOUN
ejpam-6479	269	15	ϑv	ϑv	ADP
ejpam-6479	269	16	1	1	NUM
ejpam-6479	269	17	,	,	PUNCT
ejpam-6479	269	18	ϑv	ϑv	ADP
ejpam-6479	269	19	2	2	NUM
ejpam-6479	269	20	,	,	PUNCT
ejpam-6479	269	21	ϑe1	ϑe1	ADJ
ejpam-6479	269	22	and	and	CCONJ
ejpam-6479	269	23	ϑe2	ϑe2	NOUN
ejpam-6479	269	24	of	of	ADP
ejpam-6479	269	25	ev	ev	PROPN
ejpam-6479	269	26	1	1	NUM
ejpam-6479	269	27	,	,	PUNCT
ejpam-6479	269	28	ev	ev	ADP
ejpam-6479	269	29	2	2	NUM
ejpam-6479	269	30	,	,	PUNCT
ejpam-6479	269	31	ee1	ee1	PROPN
ejpam-6479	269	32	and	and	CCONJ
ejpam-6479	269	33	ee2	ee2	NOUN
ejpam-6479	269	34	respectively	respectively	ADV
ejpam-6479	269	35	,	,	PUNCT
ejpam-6479	269	36	as	as	SCONJ
ejpam-6479	269	37	follows	follow	VERB
ejpam-6479	269	38	:	:	PUNCT
ejpam-6479	269	39	ϑv	ϑv	ADP
ejpam-6479	269	40	1(w1k	1(w1k	NOUN
ejpam-6479	269	41	)	)	PUNCT
ejpam-6479	270	1	=	=	NOUN
ejpam-6479	270	2	xk	xk	PROPN
ejpam-6479	270	3	for	for	ADP
ejpam-6479	270	4	k	k	PROPN
ejpam-6479	270	5	=	=	SYM
ejpam-6479	270	6	1	1	NUM
ejpam-6479	270	7	,	,	PUNCT
ejpam-6479	270	8	·	·	PUNCT
ejpam-6479	270	9	·	·	PUNCT
ejpam-6479	270	10	·	·	PUNCT
ejpam-6479	270	11	,	,	PUNCT
ejpam-6479	270	12	i	i	PRON
ejpam-6479	270	13	ϑv	ϑv	VERB
ejpam-6479	270	14	2(w2	2(w2	NUM
ejpam-6479	270	15	m	m	VERB
ejpam-6479	270	16	)	)	PUNCT
ejpam-6479	271	1	=	=	VERB
ejpam-6479	271	2	ym	ym	PROPN
ejpam-6479	271	3	for	for	ADP
ejpam-6479	271	4	m	m	PROPN
ejpam-6479	271	5	=	=	SYM
ejpam-6479	271	6	1	1	NUM
ejpam-6479	271	7	,	,	PUNCT
ejpam-6479	271	8	·	·	PUNCT
ejpam-6479	271	9	·	·	PUNCT
ejpam-6479	271	10	·	·	PUNCT
ejpam-6479	271	11	,	,	PUNCT
ejpam-6479	271	12	j	j	PROPN
ejpam-6479	271	13	ϑe2(w2	ϑe2(w2	PROPN
ejpam-6479	271	14	m	m	PROPN
ejpam-6479	271	15	,	,	PUNCT
ejpam-6479	271	16	w2n	w2n	X
ejpam-6479	271	17	)	)	PUNCT
ejpam-6479	271	18	=	=	SYM
ejpam-6479	271	19	ĉmn	ĉmn	ADP
ejpam-6479	271	20	for	for	ADP
ejpam-6479	271	21	m	m	PROPN
ejpam-6479	271	22	,	,	PUNCT
ejpam-6479	271	23	n	n	PRON
ejpam-6479	271	24	are	be	AUX
ejpam-6479	271	25	such	such	ADJ
ejpam-6479	271	26	thatw2mw2n	thatw2mw2n	PROPN
ejpam-6479	271	27	∈	∈	PROPN
ejpam-6479	271	28	ee2	ee2	NOUN
ejpam-6479	271	29	,	,	PUNCT
ejpam-6479	271	30	ϑe1(w1k	ϑe1(w1k	ADV
ejpam-6479	271	31	,	,	PUNCT
ejpam-6479	271	32	w1l	w1l	NOUN
ejpam-6479	271	33	)	)	PUNCT
ejpam-6479	271	34	=	=	VERB
ejpam-6479	271	35	d̂kl	d̂kl	NOUN
ejpam-6479	271	36	for	for	ADP
ejpam-6479	271	37	k	k	PROPN
ejpam-6479	271	38	,	,	PUNCT
ejpam-6479	271	39	l	l	NOUN
ejpam-6479	271	40	are	be	AUX
ejpam-6479	271	41	such	such	ADJ
ejpam-6479	271	42	thatw1kw1l	thatw1kw1l	NOUN
ejpam-6479	271	43	∈	∈	PROPN
ejpam-6479	271	44	ee1	ee1	NOUN
ejpam-6479	271	45	for	for	ADP
ejpam-6479	271	46	any	any	DET
ejpam-6479	271	47	fixed	fix	VERB
ejpam-6479	271	48	m	m	PROPN
ejpam-6479	271	49	,	,	PUNCT
ejpam-6479	271	50	n	n	CCONJ
ejpam-6479	271	51	,	,	PUNCT
ejpam-6479	271	52	ϑe((w1k	ϑe((w1k	PROPN
ejpam-6479	271	53	,	,	PUNCT
ejpam-6479	271	54	w2	w2	NOUN
ejpam-6479	271	55	m	m	PROPN
ejpam-6479	271	56	)	)	PUNCT
ejpam-6479	271	57	,	,	PUNCT
ejpam-6479	271	58	(	(	PUNCT
ejpam-6479	271	59	w1k	w1k	PROPN
ejpam-6479	271	60	,	,	PUNCT
ejpam-6479	271	61	w2n	w2n	X
ejpam-6479	271	62	)	)	PUNCT
ejpam-6479	271	63	)	)	PUNCT
ejpam-6479	271	64	≤	≤	NUM
ejpam-6479	272	1	min{ϑv	min{ϑv	X
ejpam-6479	272	2	(	(	PUNCT
ejpam-6479	272	3	w1k	w1k	PROPN
ejpam-6479	272	4	,	,	PUNCT
ejpam-6479	272	5	w2	w2	NOUN
ejpam-6479	272	6	m	m	PROPN
ejpam-6479	272	7	)	)	PUNCT
ejpam-6479	272	8	,	,	PUNCT
ejpam-6479	272	9	ϑv	ϑv	ADP
ejpam-6479	272	10	(	(	PUNCT
ejpam-6479	272	11	w1k	w1k	PROPN
ejpam-6479	272	12	,	,	PUNCT
ejpam-6479	272	13	w2n	w2n	X
ejpam-6479	272	14	)	)	PUNCT
ejpam-6479	272	15	}	}	PUNCT
ejpam-6479	272	16	w.	w.	PROPN
ejpam-6479	272	17	f.	f.	PROPN
ejpam-6479	272	18	al	al	PROPN
ejpam-6479	272	19	-	-	PUNCT
ejpam-6479	272	20	omeri	omeri	PROPN
ejpam-6479	272	21	et	et	PROPN
ejpam-6479	272	22	al	al	PROPN
ejpam-6479	272	23	.	.	PUNCT
ejpam-6479	272	24	/	/	SYM
ejpam-6479	272	25	eur	eur	PROPN
ejpam-6479	272	26	.	.	PUNCT
ejpam-6479	273	1	j.	j.	PROPN
ejpam-6479	273	2	pure	pure	PROPN
ejpam-6479	273	3	appl	appl	PROPN
ejpam-6479	273	4	.	.	PROPN
ejpam-6479	273	5	math	math	PROPN
ejpam-6479	273	6	,	,	PUNCT
ejpam-6479	273	7	18	18	NUM
ejpam-6479	273	8	(	(	PUNCT
ejpam-6479	273	9	3	3	NUM
ejpam-6479	273	10	)	)	PUNCT
ejpam-6479	273	11	(	(	PUNCT
ejpam-6479	273	12	2025	2025	NUM
ejpam-6479	273	13	)	)	PUNCT
ejpam-6479	273	14	,	,	PUNCT
ejpam-6479	273	15	6479	6479	NUM
ejpam-6479	273	16	13	13	NUM
ejpam-6479	273	17	of	of	ADP
ejpam-6479	273	18	28	28	NUM
ejpam-6479	273	19	=	=	SYM
ejpam-6479	273	20	min{min{ϑv	min{min{ϑv	NOUN
ejpam-6479	273	21	1(w1k	1(w1k	NOUN
ejpam-6479	273	22	)	)	PUNCT
ejpam-6479	273	23	,	,	PUNCT
ejpam-6479	273	24	ϑv	ϑv	ADP
ejpam-6479	273	25	2(w2m),min{ϑv	2(w2m),min{ϑv	NUM
ejpam-6479	273	26	1(w1k	1(w1k	NOUN
ejpam-6479	273	27	)	)	PUNCT
ejpam-6479	273	28	,	,	PUNCT
ejpam-6479	273	29	ϑv	ϑv	ADP
ejpam-6479	273	30	2(w2n	2(w2n	NOUN
ejpam-6479	273	31	)	)	PUNCT
ejpam-6479	273	32	}	}	PUNCT
ejpam-6479	273	33	}	}	PUNCT
ejpam-6479	273	34	≤	≤	NOUN
ejpam-6479	273	35	min{ϑv	min{ϑv	ADP
ejpam-6479	273	36	2(w2	2(w2	NUM
ejpam-6479	273	37	m	m	NOUN
ejpam-6479	273	38	)	)	PUNCT
ejpam-6479	273	39	,	,	PUNCT
ejpam-6479	273	40	ϑv	ϑv	ADP
ejpam-6479	273	41	2(w2n)},m	2(w2n)},m	NUM
ejpam-6479	273	42	,	,	PUNCT
ejpam-6479	273	43	n	n	NOUN
ejpam-6479	273	44	=	=	SYM
ejpam-6479	273	45	1	1	NUM
ejpam-6479	273	46	,	,	PUNCT
ejpam-6479	273	47	·	·	PUNCT
ejpam-6479	273	48	·	·	PUNCT
ejpam-6479	273	49	·	·	PUNCT
ejpam-6479	273	50	,	,	PUNCT
ejpam-6479	273	51	j	j	PROPN
ejpam-6479	273	52	;	;	PUNCT
ejpam-6479	273	53	k	k	X
ejpam-6479	273	54	=	=	SYM
ejpam-6479	273	55	1	1	NUM
ejpam-6479	273	56	,	,	PUNCT
ejpam-6479	273	57	·	·	PUNCT
ejpam-6479	273	58	·	·	PUNCT
ejpam-6479	273	59	·	·	PUNCT
ejpam-6479	273	60	,	,	PUNCT
ejpam-6479	273	61	i	i	PRON
ejpam-6479	273	62	thus	thus	ADV
ejpam-6479	273	63	ĉmn	ĉmn	ADP
ejpam-6479	273	64	=	=	SYM
ejpam-6479	273	65	max{ϑe((w1k	max{ϑe((w1k	PROPN
ejpam-6479	273	66	,	,	PUNCT
ejpam-6479	273	67	w2	w2	NOUN
ejpam-6479	273	68	m	m	PROPN
ejpam-6479	273	69	)	)	PUNCT
ejpam-6479	273	70	,	,	PUNCT
ejpam-6479	273	71	(	(	PUNCT
ejpam-6479	273	72	w1k	w1k	PROPN
ejpam-6479	273	73	,	,	PUNCT
ejpam-6479	273	74	w2n))|k	w2n))|k	PROPN
ejpam-6479	273	75	=	=	SYM
ejpam-6479	273	76	1	1	NUM
ejpam-6479	273	77	,	,	PUNCT
ejpam-6479	273	78	·	·	PUNCT
ejpam-6479	273	79	·	·	PUNCT
ejpam-6479	273	80	·	·	PUNCT
ejpam-6479	273	81	,	,	PUNCT
ejpam-6479	273	82	i	i	PRON
ejpam-6479	273	83	}	}	PUNCT
ejpam-6479	273	84	≤	≤	NOUN
ejpam-6479	273	85	min{ϑv	min{ϑv	ADP
ejpam-6479	273	86	2(w2	2(w2	NUM
ejpam-6479	273	87	m	m	NOUN
ejpam-6479	273	88	)	)	PUNCT
ejpam-6479	273	89	,	,	PUNCT
ejpam-6479	273	90	ϑv	ϑv	SCONJ
ejpam-6479	273	91	2(w2n	2(w2n	NOUN
ejpam-6479	273	92	)	)	PUNCT
ejpam-6479	273	93	}	}	PUNCT
ejpam-6479	273	94	.	.	PUNCT
ejpam-6479	274	1	hence	hence	ADV
ejpam-6479	274	2	ϑe2(w2	ϑe2(w2	NOUN
ejpam-6479	274	3	m	m	PROPN
ejpam-6479	274	4	,	,	PUNCT
ejpam-6479	274	5	w2n	w2n	X
ejpam-6479	274	6	)	)	PUNCT
ejpam-6479	274	7	≤	≤	NOUN
ejpam-6479	275	1	min{ϑv	min{ϑv	X
ejpam-6479	275	2	2(w2	2(w2	NUM
ejpam-6479	275	3	m	m	NOUN
ejpam-6479	275	4	)	)	PUNCT
ejpam-6479	275	5	,	,	PUNCT
ejpam-6479	275	6	ϑv	ϑv	ADP
ejpam-6479	275	7	2(w2n	2(w2n	NOUN
ejpam-6479	275	8	)	)	PUNCT
ejpam-6479	275	9	}	}	PUNCT
ejpam-6479	275	10	.	.	PUNCT
ejpam-6479	276	1	thus	thus	ADV
ejpam-6479	276	2	(	(	PUNCT
ejpam-6479	276	3	ϑw2	ϑw2	NOUN
ejpam-6479	276	4	,	,	PUNCT
ejpam-6479	276	5	ϑe2	ϑe2	NOUN
ejpam-6479	276	6	)	)	PUNCT
ejpam-6479	276	7	is	be	AUX
ejpam-6479	276	8	a	a	DET
ejpam-6479	276	9	exponential	exponential	ADJ
ejpam-6479	276	10	fuzzy	fuzzy	ADJ
ejpam-6479	276	11	subgraph	subgraph	NOUN
ejpam-6479	276	12	of	of	ADP
ejpam-6479	276	13	g2	g2	PROPN
ejpam-6479	276	14	.	.	PUNCT
ejpam-6479	277	1	similarly	similarly	ADV
ejpam-6479	277	2	,	,	PUNCT
ejpam-6479	277	3	(	(	PUNCT
ejpam-6479	277	4	ϑw1	ϑw1	NOUN
ejpam-6479	277	5	,	,	PUNCT
ejpam-6479	277	6	ϑe1	ϑe1	ADV
ejpam-6479	277	7	)	)	PUNCT
ejpam-6479	277	8	is	be	AUX
ejpam-6479	277	9	a	a	DET
ejpam-6479	277	10	exponential	exponential	ADJ
ejpam-6479	277	11	fuzzy	fuzzy	ADJ
ejpam-6479	277	12	subgraph	subgraph	NOUN
ejpam-6479	277	13	of	of	ADP
ejpam-6479	277	14	g1	g1	PROPN
ejpam-6479	277	15	.	.	PUNCT
ejpam-6479	278	1	clearly	clearly	ADV
ejpam-6479	278	2	,	,	PUNCT
ejpam-6479	278	3	ϑv	ϑv	ADP
ejpam-6479	278	4	=	=	NOUN
ejpam-6479	278	5	ϑv	ϑv	SYM
ejpam-6479	278	6	1×v	1×v	NUM
ejpam-6479	278	7	2	2	NUM
ejpam-6479	278	8	and	and	CCONJ
ejpam-6479	278	9	ϑe	ϑe	VERB
ejpam-6479	278	10	=	=	SYM
ejpam-6479	278	11	ϑe1×e2	ϑe1×e2	PROPN
ejpam-6479	278	12	.	.	PUNCT
ejpam-6479	279	1	conversely	conversely	ADV
ejpam-6479	279	2	,	,	PUNCT
ejpam-6479	279	3	suppose	suppose	VERB
ejpam-6479	279	4	that	that	SCONJ
ejpam-6479	279	5	(	(	PUNCT
ejpam-6479	279	6	ϑv	ϑv	INTJ
ejpam-6479	279	7	,	,	PUNCT
ejpam-6479	279	8	ϑe	ϑe	VERB
ejpam-6479	279	9	)	)	PUNCT
ejpam-6479	279	10	is	be	AUX
ejpam-6479	279	11	a	a	DET
ejpam-6479	279	12	cartesian	cartesian	ADJ
ejpam-6479	279	13	product	product	NOUN
ejpam-6479	279	14	of	of	ADP
ejpam-6479	279	15	exponential	exponential	ADJ
ejpam-6479	279	16	fuzzy	fuzzy	ADJ
ejpam-6479	279	17	subgraph	subgraph	NOUN
ejpam-6479	279	18	of	of	ADP
ejpam-6479	279	19	g1	g1	PROPN
ejpam-6479	279	20	and	and	CCONJ
ejpam-6479	279	21	g2	g2	PROPN
ejpam-6479	279	22	.	.	PUNCT
ejpam-6479	280	1	the	the	DET
ejpam-6479	280	2	solution	solution	NOUN
ejpam-6479	280	3	of	of	ADP
ejpam-6479	280	4	equations	equation	NOUN
ejpam-6479	280	5	(	(	PUNCT
ejpam-6479	280	6	1),(2	1),(2	NUM
ejpam-6479	280	7	)	)	PUNCT
ejpam-6479	280	8	and	and	CCONJ
ejpam-6479	280	9	(	(	PUNCT
ejpam-6479	280	10	3	3	X
ejpam-6479	280	11	)	)	PUNCT
ejpam-6479	280	12	exists	exist	VERB
ejpam-6479	280	13	by	by	ADP
ejpam-6479	280	14	definition	definition	NOUN
ejpam-6479	280	15	of	of	ADP
ejpam-6479	280	16	cartesian	cartesian	ADJ
ejpam-6479	280	17	product	product	NOUN
ejpam-6479	280	18	.	.	PUNCT
ejpam-6479	281	1	definition	definition	NOUN
ejpam-6479	281	2	13	13	NUM
ejpam-6479	281	3	(	(	PUNCT
ejpam-6479	281	4	composition	composition	NOUN
ejpam-6479	281	5	of	of	ADP
ejpam-6479	281	6	efgs	efgs	NOUN
ejpam-6479	281	7	)	)	PUNCT
ejpam-6479	281	8	.	.	PUNCT
ejpam-6479	282	1	let	let	VERB
ejpam-6479	282	2	g1	g1	PROPN
ejpam-6479	282	3	=	=	SYM
ejpam-6479	282	4	(	(	PUNCT
ejpam-6479	282	5	ev	ev	INTJ
ejpam-6479	282	6	,	,	PUNCT
ejpam-6479	282	7	ee	ee	PROPN
ejpam-6479	282	8	,	,	PUNCT
ejpam-6479	282	9	ϑv	ϑv	ADP
ejpam-6479	282	10	1	1	NUM
ejpam-6479	282	11	,	,	PUNCT
ejpam-6479	282	12	ϑe1	ϑe1	ADJ
ejpam-6479	282	13	)	)	PUNCT
ejpam-6479	282	14	and	and	CCONJ
ejpam-6479	282	15	g2	g2	PROPN
ejpam-6479	282	16	=	=	PRON
ejpam-6479	282	17	(	(	PUNCT
ejpam-6479	282	18	ev	ev	INTJ
ejpam-6479	282	19	,	,	PUNCT
ejpam-6479	282	20	ee	ee	PROPN
ejpam-6479	282	21	,	,	PUNCT
ejpam-6479	282	22	ϑv	ϑv	ADP
ejpam-6479	282	23	2	2	NUM
ejpam-6479	282	24	,	,	PUNCT
ejpam-6479	282	25	ϑe2	ϑe2	NOUN
ejpam-6479	282	26	)	)	PUNCT
ejpam-6479	282	27	be	be	VERB
ejpam-6479	282	28	two	two	NUM
ejpam-6479	282	29	exponential	exponential	ADJ
ejpam-6479	282	30	fuzzy	fuzzy	ADJ
ejpam-6479	282	31	graphs	graph	NOUN
ejpam-6479	282	32	,	,	PUNCT
ejpam-6479	282	33	where	where	SCONJ
ejpam-6479	282	34	:	:	PUNCT
ejpam-6479	282	35	ϑv	ϑv	ADP
ejpam-6479	282	36	i(w	i(w	NOUN
ejpam-6479	282	37	)	)	PUNCT
ejpam-6479	282	38	=	=	SYM
ejpam-6479	283	1	αv	αv	X
ejpam-6479	283	2	i(w)·e−λαv	i(w)·e−λαv	NOUN
ejpam-6479	284	1	i	i	PRON
ejpam-6479	284	2	(	(	PUNCT
ejpam-6479	284	3	w	w	NOUN
ejpam-6479	284	4	)	)	PUNCT
ejpam-6479	284	5	,	,	PUNCT
ejpam-6479	284	6	;	;	PUNCT
ejpam-6479	284	7	∀w	∀w	X
ejpam-6479	284	8	∈	∈	PROPN
ejpam-6479	284	9	ev	ev	ADP
ejpam-6479	284	10	i	i	PROPN
ejpam-6479	284	11	,	,	PUNCT
ejpam-6479	284	12	ϑei(r	ϑei(r	PROPN
ejpam-6479	284	13	,	,	PUNCT
ejpam-6479	284	14	w	w	NOUN
ejpam-6479	284	15	)	)	PUNCT
ejpam-6479	284	16	=	=	SYM
ejpam-6479	284	17	αei(r	αei(r	PROPN
ejpam-6479	284	18	,	,	PUNCT
ejpam-6479	284	19	w	w	PROPN
ejpam-6479	284	20	)	)	PUNCT
ejpam-6479	284	21	·	·	PUNCT
ejpam-6479	284	22	e−λαei	e−λαei	X
ejpam-6479	284	23	(	(	PUNCT
ejpam-6479	284	24	r	r	NOUN
ejpam-6479	284	25	,	,	PUNCT
ejpam-6479	284	26	w	w	NOUN
ejpam-6479	284	27	)	)	PUNCT
ejpam-6479	284	28	;	;	PUNCT
ejpam-6479	284	29	∀(r	∀(r	NUM
ejpam-6479	284	30	,	,	PUNCT
ejpam-6479	284	31	w	w	NOUN
ejpam-6479	284	32	)	)	PUNCT
ejpam-6479	284	33	∈	∈	NOUN
ejpam-6479	284	34	ev	ev	X
ejpam-6479	284	35	i×v	i×v	PROPN
ejpam-6479	284	36	i	i	PROPN
ejpam-6479	284	37	,	,	PUNCT
ejpam-6479	284	38	where	where	SCONJ
ejpam-6479	284	39	i=1,2	i=1,2	ADJ
ejpam-6479	284	40	.	.	PUNCT
ejpam-6479	285	1	then	then	ADV
ejpam-6479	285	2	,	,	PUNCT
ejpam-6479	285	3	the	the	DET
ejpam-6479	285	4	composition	composition	NOUN
ejpam-6479	285	5	of	of	ADP
ejpam-6479	285	6	g1	g1	NOUN
ejpam-6479	285	7	and	and	CCONJ
ejpam-6479	285	8	g2	g2	PROPN
ejpam-6479	285	9	,	,	PUNCT
ejpam-6479	285	10	denoted	denote	VERB
ejpam-6479	285	11	by	by	ADP
ejpam-6479	285	12	g1	g1	PROPN
ejpam-6479	285	13	◦	◦	PROPN
ejpam-6479	285	14	g2	g2	PROPN
ejpam-6479	285	15	=	=	PRON
ejpam-6479	285	16	(	(	PUNCT
ejpam-6479	285	17	ev	ev	INTJ
ejpam-6479	285	18	1	1	NUM
ejpam-6479	285	19	◦	◦	NOUN
ejpam-6479	285	20	v	v	NOUN
ejpam-6479	285	21	2	2	NUM
ejpam-6479	285	22	,	,	PUNCT
ejpam-6479	285	23	ee1	ee1	PROPN
ejpam-6479	285	24	◦	◦	NOUN
ejpam-6479	285	25	e2	e2	PROPN
ejpam-6479	285	26	)	)	PUNCT
ejpam-6479	285	27	,	,	PUNCT
ejpam-6479	285	28	is	be	AUX
ejpam-6479	285	29	defined	define	VERB
ejpam-6479	285	30	as	as	SCONJ
ejpam-6479	285	31	follows	follow	VERB
ejpam-6479	285	32	:	:	PUNCT
ejpam-6479	285	33	the	the	DET
ejpam-6479	285	34	vertex	vertex	NOUN
ejpam-6479	285	35	set	set	NOUN
ejpam-6479	285	36	of	of	ADP
ejpam-6479	285	37	the	the	DET
ejpam-6479	285	38	composition	composition	NOUN
ejpam-6479	285	39	is	be	AUX
ejpam-6479	285	40	,	,	PUNCT
ejpam-6479	285	41	ϑv	ϑv	ADP
ejpam-6479	285	42	1	1	NUM
ejpam-6479	285	43	◦	◦	NOUN
ejpam-6479	285	44	v	v	NOUN
ejpam-6479	285	45	2(w1	2(w1	NUM
ejpam-6479	285	46	,	,	PUNCT
ejpam-6479	285	47	w2	w2	NOUN
ejpam-6479	285	48	)	)	PUNCT
ejpam-6479	286	1	=	=	SYM
ejpam-6479	286	2	min	min	NOUN
ejpam-6479	286	3	{	{	PUNCT
ejpam-6479	286	4	ϑv	ϑv	ADP
ejpam-6479	286	5	1(w1	1(w1	NUM
ejpam-6479	286	6	)	)	PUNCT
ejpam-6479	286	7	,	,	PUNCT
ejpam-6479	286	8	ϑv	ϑv	ADP
ejpam-6479	286	9	2(w2	2(w2	NUM
ejpam-6479	286	10	)	)	PUNCT
ejpam-6479	286	11	}	}	PUNCT
ejpam-6479	286	12	=	=	NOUN
ejpam-6479	286	13	min	min	NOUN
ejpam-6479	286	14	{	{	PUNCT
ejpam-6479	286	15	αv	αv	NOUN
ejpam-6479	286	16	1(w1)e	1(w1)e	NUM
ejpam-6479	286	17	−λαv	−λαv	ADJ
ejpam-6479	286	18	1	1	NUM
ejpam-6479	286	19	(	(	PUNCT
ejpam-6479	286	20	w1	w1	NOUN
ejpam-6479	286	21	)	)	PUNCT
ejpam-6479	286	22	,	,	PUNCT
ejpam-6479	286	23	αv	αv	ADP
ejpam-6479	286	24	2(w2)e	2(w2)e	NUM
ejpam-6479	286	25	−λαv	−λαv	ADJ
ejpam-6479	286	26	2	2	NUM
ejpam-6479	286	27	(	(	PUNCT
ejpam-6479	286	28	w2	w2	NOUN
ejpam-6479	286	29	)	)	PUNCT
ejpam-6479	286	30	}	}	PUNCT
ejpam-6479	286	31	the	the	DET
ejpam-6479	286	32	edge	edge	NOUN
ejpam-6479	286	33	set	set	NOUN
ejpam-6479	286	34	of	of	ADP
ejpam-6479	286	35	the	the	DET
ejpam-6479	286	36	composition	composition	NOUN
ejpam-6479	286	37	is	be	AUX
ejpam-6479	286	38	,	,	PUNCT
ejpam-6479	286	39	ϑe1	ϑe1	ADV
ejpam-6479	286	40	◦	◦	NOUN
ejpam-6479	286	41	e2((r1	e2((r1	PROPN
ejpam-6479	286	42	,	,	PUNCT
ejpam-6479	286	43	w1	w1	NOUN
ejpam-6479	286	44	)	)	PUNCT
ejpam-6479	286	45	,	,	PUNCT
ejpam-6479	286	46	(	(	PUNCT
ejpam-6479	286	47	r2	r2	NOUN
ejpam-6479	286	48	,	,	PUNCT
ejpam-6479	286	49	w2	w2	NOUN
ejpam-6479	286	50	)	)	PUNCT
ejpam-6479	286	51	)	)	PUNCT
ejpam-6479	287	1	=	=	PUNCT
ejpam-6479	287	2			NUM
ejpam-6479	287	3	min	min	NOUN
ejpam-6479	287	4	{	{	PUNCT
ejpam-6479	287	5	ϑv	ϑv	ADP
ejpam-6479	287	6	1(r1	1(r1	NUM
ejpam-6479	287	7	)	)	PUNCT
ejpam-6479	287	8	,	,	PUNCT
ejpam-6479	287	9	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	287	10	,	,	PUNCT
ejpam-6479	287	11	w2	w2	NOUN
ejpam-6479	287	12	)	)	PUNCT
ejpam-6479	287	13	}	}	PUNCT
ejpam-6479	287	14	,	,	PUNCT
ejpam-6479	287	15	if	if	SCONJ
ejpam-6479	287	16	r1	r1	PROPN
ejpam-6479	287	17	=	=	SYM
ejpam-6479	287	18	w1	w1	PROPN
ejpam-6479	287	19	,	,	PUNCT
ejpam-6479	287	20	(	(	PUNCT
ejpam-6479	287	21	r2	r2	PROPN
ejpam-6479	287	22	,	,	PUNCT
ejpam-6479	287	23	w2	w2	NOUN
ejpam-6479	287	24	)	)	PUNCT
ejpam-6479	287	25	∈	∈	PROPN
ejpam-6479	287	26	ee2	ee2	NOUN
ejpam-6479	287	27	min	min	PROPN
ejpam-6479	287	28	{	{	PUNCT
ejpam-6479	287	29	ϑe1(r1	ϑe1(r1	PROPN
ejpam-6479	287	30	,	,	PUNCT
ejpam-6479	287	31	w1	w1	NOUN
ejpam-6479	287	32	)	)	PUNCT
ejpam-6479	287	33	,	,	PUNCT
ejpam-6479	287	34	ϑv	ϑv	ADP
ejpam-6479	287	35	2(r2	2(r2	NUM
ejpam-6479	287	36	)	)	PUNCT
ejpam-6479	287	37	}	}	PUNCT
ejpam-6479	287	38	,	,	PUNCT
ejpam-6479	287	39	if	if	SCONJ
ejpam-6479	287	40	r2	r2	PROPN
ejpam-6479	287	41	=	=	SYM
ejpam-6479	287	42	w2	w2	NOUN
ejpam-6479	287	43	,	,	PUNCT
ejpam-6479	287	44	(	(	PUNCT
ejpam-6479	287	45	r1	r1	PROPN
ejpam-6479	287	46	,	,	PUNCT
ejpam-6479	287	47	w1	w1	NOUN
ejpam-6479	287	48	)	)	PUNCT
ejpam-6479	287	49	∈	∈	PROPN
ejpam-6479	287	50	ee1	ee1	PROPN
ejpam-6479	287	51	min	min	PROPN
ejpam-6479	287	52	{	{	PUNCT
ejpam-6479	287	53	ϑe1(r1	ϑe1(r1	PROPN
ejpam-6479	287	54	,	,	PUNCT
ejpam-6479	287	55	w1	w1	NOUN
ejpam-6479	287	56	)	)	PUNCT
ejpam-6479	287	57	,	,	PUNCT
ejpam-6479	287	58	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	287	59	,	,	PUNCT
ejpam-6479	287	60	w2	w2	NOUN
ejpam-6479	287	61	)	)	PUNCT
ejpam-6479	287	62	}	}	PUNCT
ejpam-6479	287	63	,	,	PUNCT
ejpam-6479	287	64	if	if	SCONJ
ejpam-6479	287	65	(	(	PUNCT
ejpam-6479	287	66	r1	r1	PROPN
ejpam-6479	287	67	,	,	PUNCT
ejpam-6479	287	68	w1	w1	NOUN
ejpam-6479	287	69	)	)	PUNCT
ejpam-6479	287	70	∈	∈	PROPN
ejpam-6479	287	71	ee1	ee1	PROPN
ejpam-6479	287	72	,	,	PUNCT
ejpam-6479	287	73	(	(	PUNCT
ejpam-6479	287	74	r2	r2	PROPN
ejpam-6479	287	75	,	,	PUNCT
ejpam-6479	287	76	w2	w2	NOUN
ejpam-6479	287	77	)	)	PUNCT
ejpam-6479	287	78	∈	∈	PROPN
ejpam-6479	287	79	ee2	ee2	NOUN
ejpam-6479	287	80	0	0	NUM
ejpam-6479	287	81	,	,	PUNCT
ejpam-6479	287	82	otherwise	otherwise	ADV
ejpam-6479	287	83	definition	definition	NOUN
ejpam-6479	287	84	14	14	NUM
ejpam-6479	287	85	(	(	PUNCT
ejpam-6479	287	86	degree	degree	NOUN
ejpam-6479	287	87	of	of	ADP
ejpam-6479	287	88	composition	composition	NOUN
ejpam-6479	287	89	)	)	PUNCT
ejpam-6479	287	90	.	.	PUNCT
ejpam-6479	288	1	let	let	VERB
ejpam-6479	288	2	g1	g1	PROPN
ejpam-6479	288	3	=	=	SYM
ejpam-6479	288	4	(	(	PUNCT
ejpam-6479	288	5	ev	ev	INTJ
ejpam-6479	288	6	1	1	NUM
ejpam-6479	288	7	,	,	PUNCT
ejpam-6479	288	8	ee1	ee1	PROPN
ejpam-6479	288	9	,	,	PUNCT
ejpam-6479	288	10	ϑv	ϑv	ADP
ejpam-6479	288	11	1	1	NUM
ejpam-6479	288	12	,	,	PUNCT
ejpam-6479	288	13	ϑe1	ϑe1	ADJ
ejpam-6479	288	14	)	)	PUNCT
ejpam-6479	288	15	,	,	PUNCT
ejpam-6479	288	16	g2	g2	PROPN
ejpam-6479	288	17	=	=	PRON
ejpam-6479	288	18	(	(	PUNCT
ejpam-6479	288	19	ev	ev	INTJ
ejpam-6479	288	20	2	2	NUM
ejpam-6479	288	21	,	,	PUNCT
ejpam-6479	288	22	ee2	ee2	NOUN
ejpam-6479	288	23	,	,	PUNCT
ejpam-6479	288	24	ϑv	ϑv	ADP
ejpam-6479	288	25	2	2	NUM
ejpam-6479	288	26	,	,	PUNCT
ejpam-6479	288	27	ϑe2	ϑe2	NOUN
ejpam-6479	288	28	)	)	PUNCT
ejpam-6479	288	29	be	be	VERB
ejpam-6479	288	30	two	two	NUM
ejpam-6479	288	31	exponential	exponential	ADJ
ejpam-6479	288	32	fuzzy	fuzzy	ADJ
ejpam-6479	288	33	graphs	graph	NOUN
ejpam-6479	288	34	with	with	ADP
ejpam-6479	288	35	ϑv	ϑv	ADP
ejpam-6479	288	36	i(w	i(w	NOUN
ejpam-6479	288	37	)	)	PUNCT
ejpam-6479	288	38	=	=	SYM
ejpam-6479	288	39	αv	αv	ADP
ejpam-6479	288	40	i(w	i(w	NOUN
ejpam-6479	288	41	)	)	PUNCT
ejpam-6479	289	1	e−λαv	e−λαv	NOUN
ejpam-6479	290	1	i	i	PRON
ejpam-6479	290	2	(	(	PUNCT
ejpam-6479	290	3	w	w	NOUN
ejpam-6479	290	4	)	)	PUNCT
ejpam-6479	290	5	,	,	PUNCT
ejpam-6479	290	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	290	7	,	,	PUNCT
ejpam-6479	290	8	w	w	NOUN
ejpam-6479	290	9	)	)	PUNCT
ejpam-6479	290	10	=	=	SYM
ejpam-6479	290	11	αei(r	αei(r	PROPN
ejpam-6479	290	12	,	,	PUNCT
ejpam-6479	290	13	w	w	PROPN
ejpam-6479	290	14	)	)	PUNCT
ejpam-6479	290	15	e−λαei	e−λαei	X
ejpam-6479	290	16	(	(	PUNCT
ejpam-6479	290	17	r	r	NOUN
ejpam-6479	290	18	,	,	PUNCT
ejpam-6479	290	19	w	w	NOUN
ejpam-6479	290	20	)	)	PUNCT
ejpam-6479	290	21	,	,	PUNCT
ejpam-6479	290	22	i	i	PRON
ejpam-6479	290	23	=	=	NOUN
ejpam-6479	290	24	1	1	NUM
ejpam-6479	290	25	,	,	PUNCT
ejpam-6479	290	26	2	2	NUM
ejpam-6479	290	27	.	.	PUNCT
ejpam-6479	291	1	their	their	PRON
ejpam-6479	291	2	composition	composition	NOUN
ejpam-6479	291	3	is	be	AUX
ejpam-6479	291	4	g	g	NOUN
ejpam-6479	291	5	=	=	NOUN
ejpam-6479	291	6	g1	g1	PROPN
ejpam-6479	291	7	◦	◦	NOUN
ejpam-6479	291	8	g2	g2	PROPN
ejpam-6479	291	9	=	=	PRON
ejpam-6479	292	1	(	(	PUNCT
ejpam-6479	292	2	ev	ev	INTJ
ejpam-6479	292	3	1	1	NUM
ejpam-6479	292	4	◦	◦	NOUN
ejpam-6479	292	5	v	v	NOUN
ejpam-6479	292	6	2	2	NUM
ejpam-6479	292	7	,	,	PUNCT
ejpam-6479	292	8	ee1	ee1	PROPN
ejpam-6479	292	9	◦	◦	NOUN
ejpam-6479	292	10	e2	e2	NOUN
ejpam-6479	292	11	,	,	PUNCT
ejpam-6479	292	12	ϑv	ϑv	NOUN
ejpam-6479	292	13	,	,	PUNCT
ejpam-6479	292	14	ϑe	ϑe	VERB
ejpam-6479	292	15	)	)	PUNCT
ejpam-6479	292	16	,	,	PUNCT
ejpam-6479	292	17	.	.	PUNCT
ejpam-6479	293	1	then	then	ADV
ejpam-6479	293	2	the	the	DET
ejpam-6479	293	3	degree	degree	NOUN
ejpam-6479	293	4	of	of	ADP
ejpam-6479	293	5	vertex	vertex	NOUN
ejpam-6479	293	6	of	of	ADP
ejpam-6479	293	7	composition	composition	NOUN
ejpam-6479	293	8	is	be	AUX
ejpam-6479	293	9	degg1	degg1	NOUN
ejpam-6479	293	10	◦	◦	NOUN
ejpam-6479	293	11	g2(r1	g2(r1	ADJ
ejpam-6479	293	12	,	,	PUNCT
ejpam-6479	293	13	w1	w1	NOUN
ejpam-6479	293	14	)	)	PUNCT
ejpam-6479	293	15	,	,	PUNCT
ejpam-6479	293	16	(	(	PUNCT
ejpam-6479	293	17	r2	r2	NOUN
ejpam-6479	293	18	,	,	PUNCT
ejpam-6479	293	19	w2	w2	NOUN
ejpam-6479	293	20	)	)	PUNCT
ejpam-6479	293	21	=	=	PUNCT
ejpam-6479	293	22	∑	∑	PUNCT
ejpam-6479	293	23	r1	r1	PROPN
ejpam-6479	293	24	=	=	NOUN
ejpam-6479	293	25	w1	w1	NOUN
ejpam-6479	293	26	,	,	PUNCT
ejpam-6479	293	27	(	(	PUNCT
ejpam-6479	293	28	r2,w2)∈ee2	r2,w2)∈ee2	X
ejpam-6479	293	29	min{ϑv	min{ϑv	X
ejpam-6479	293	30	1(r1	1(r1	NUM
ejpam-6479	293	31	)	)	PUNCT
ejpam-6479	293	32	,	,	PUNCT
ejpam-6479	293	33	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	293	34	,	,	PUNCT
ejpam-6479	293	35	w2	w2	NOUN
ejpam-6479	293	36	)	)	PUNCT
ejpam-6479	293	37	}	}	PUNCT
ejpam-6479	294	1	+	+	CCONJ
ejpam-6479	294	2	∑	∑	PUNCT
ejpam-6479	294	3	r2	r2	PROPN
ejpam-6479	294	4	=	=	NOUN
ejpam-6479	294	5	w2	w2	NOUN
ejpam-6479	294	6	,	,	PUNCT
ejpam-6479	294	7	(	(	PUNCT
ejpam-6479	294	8	r1,w1)∈ee1	r1,w1)∈ee1	X
ejpam-6479	294	9	min{ϑe1(r1	min{ϑe1(r1	NOUN
ejpam-6479	294	10	,	,	PUNCT
ejpam-6479	294	11	w1	w1	NOUN
ejpam-6479	294	12	)	)	PUNCT
ejpam-6479	294	13	,	,	PUNCT
ejpam-6479	294	14	ϑv	ϑv	ADP
ejpam-6479	294	15	2(r2	2(r2	NUM
ejpam-6479	294	16	)	)	PUNCT
ejpam-6479	294	17	}	}	PUNCT
ejpam-6479	294	18	+	+	CCONJ
ejpam-6479	294	19	∑	∑	PUNCT
ejpam-6479	294	20	(	(	PUNCT
ejpam-6479	294	21	r1,w1)∈ee1	r1,w1)∈ee1	NOUN
ejpam-6479	294	22	,	,	PUNCT
ejpam-6479	294	23	(	(	PUNCT
ejpam-6479	294	24	r2,w2)∈ee2	r2,w2)∈ee2	X
ejpam-6479	294	25	min{ϑe1(r1	min{ϑe1(r1	NOUN
ejpam-6479	294	26	,	,	PUNCT
ejpam-6479	294	27	w1	w1	NOUN
ejpam-6479	294	28	)	)	PUNCT
ejpam-6479	294	29	,	,	PUNCT
ejpam-6479	294	30	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	294	31	,	,	PUNCT
ejpam-6479	294	32	w2	w2	NOUN
ejpam-6479	294	33	)	)	PUNCT
ejpam-6479	294	34	}	}	PUNCT
ejpam-6479	294	35	w.	w.	PROPN
ejpam-6479	294	36	f.	f.	PROPN
ejpam-6479	294	37	al	al	PROPN
ejpam-6479	294	38	-	-	PUNCT
ejpam-6479	294	39	omeri	omeri	PROPN
ejpam-6479	294	40	et	et	PROPN
ejpam-6479	294	41	al	al	PROPN
ejpam-6479	294	42	.	.	PUNCT
ejpam-6479	294	43	/	/	SYM
ejpam-6479	294	44	eur	eur	PROPN
ejpam-6479	294	45	.	.	PUNCT
ejpam-6479	295	1	j.	j.	PROPN
ejpam-6479	295	2	pure	pure	PROPN
ejpam-6479	295	3	appl	appl	PROPN
ejpam-6479	295	4	.	.	PROPN
ejpam-6479	295	5	math	math	PROPN
ejpam-6479	295	6	,	,	PUNCT
ejpam-6479	295	7	18	18	NUM
ejpam-6479	295	8	(	(	PUNCT
ejpam-6479	295	9	3	3	NUM
ejpam-6479	295	10	)	)	PUNCT
ejpam-6479	295	11	(	(	PUNCT
ejpam-6479	295	12	2025	2025	NUM
ejpam-6479	295	13	)	)	PUNCT
ejpam-6479	295	14	,	,	PUNCT
ejpam-6479	295	15	6479	6479	NUM
ejpam-6479	295	16	14	14	NUM
ejpam-6479	295	17	of	of	ADP
ejpam-6479	295	18	28	28	NUM
ejpam-6479	295	19	example	example	NOUN
ejpam-6479	295	20	8	8	NUM
ejpam-6479	295	21	.	.	PUNCT
ejpam-6479	296	1	let	let	VERB
ejpam-6479	296	2	ev	ev	X
ejpam-6479	296	3	1	1	NUM
ejpam-6479	296	4	=	=	SYM
ejpam-6479	296	5	{	{	PUNCT
ejpam-6479	296	6	p	p	X
ejpam-6479	296	7	,	,	PUNCT
ejpam-6479	296	8	q	q	NOUN
ejpam-6479	296	9	}	}	PUNCT
ejpam-6479	296	10	,	,	PUNCT
ejpam-6479	296	11	ev	ev	ADP
ejpam-6479	296	12	2	2	NUM
ejpam-6479	296	13	=	=	SYM
ejpam-6479	296	14	{	{	PUNCT
ejpam-6479	296	15	s	s	PROPN
ejpam-6479	296	16	,	,	PUNCT
ejpam-6479	296	17	t	t	PROPN
ejpam-6479	296	18	}	}	PUNCT
ejpam-6479	296	19	,	,	PUNCT
ejpam-6479	296	20	with	with	ADP
ejpam-6479	296	21	λ	λ	PROPN
ejpam-6479	296	22	=	=	SYM
ejpam-6479	296	23	1	1	X
ejpam-6479	296	24	.	.	PUNCT
ejpam-6479	296	25	base	base	NOUN
ejpam-6479	296	26	vertex	vertex	NOUN
ejpam-6479	296	27	-	-	PUNCT
ejpam-6479	296	28	memberships	membership	NOUN
ejpam-6479	296	29	:	:	PUNCT
ejpam-6479	296	30	αv	αv	NOUN
ejpam-6479	296	31	1(p	1(p	NUM
ejpam-6479	296	32	)	)	PUNCT
ejpam-6479	296	33	=	=	SYM
ejpam-6479	296	34	0.6	0.6	NUM
ejpam-6479	296	35	,	,	PUNCT
ejpam-6479	296	36	αv	αv	NOUN
ejpam-6479	296	37	1(q	1(q	NUM
ejpam-6479	296	38	)	)	PUNCT
ejpam-6479	297	1	=	=	SYM
ejpam-6479	297	2	0.4	0.4	NUM
ejpam-6479	297	3	;	;	PUNCT
ejpam-6479	297	4	αv	αv	ADP
ejpam-6479	297	5	2(s	2(s	NUM
ejpam-6479	297	6	)	)	PUNCT
ejpam-6479	298	1	=	=	SYM
ejpam-6479	298	2	0.5	0.5	NUM
ejpam-6479	298	3	,	,	PUNCT
ejpam-6479	298	4	αv	αv	ADP
ejpam-6479	298	5	2(t	2(t	NUM
ejpam-6479	298	6	)	)	PUNCT
ejpam-6479	298	7	=	=	PUNCT
ejpam-6479	299	1	0.7	0.7	NUM
ejpam-6479	299	2	.	.	PUNCT
ejpam-6479	299	3	compute	compute	NOUN
ejpam-6479	299	4	ϑv	ϑv	NOUN
ejpam-6479	299	5	1(p	1(p	NUM
ejpam-6479	299	6	)	)	PUNCT
ejpam-6479	299	7	=	=	PUNCT
ejpam-6479	299	8	0.6e−0.6	0.6e−0.6	NUM
ejpam-6479	300	1	≈	≈	PROPN
ejpam-6479	300	2	0.3293	0.3293	NUM
ejpam-6479	300	3	,	,	PUNCT
ejpam-6479	300	4	ϑv	ϑv	ADP
ejpam-6479	300	5	1(q	1(q	NUM
ejpam-6479	300	6	)	)	PUNCT
ejpam-6479	301	1	=	=	PUNCT
ejpam-6479	301	2	0.4e−0.4	0.4e−0.4	NUM
ejpam-6479	302	1	≈	≈	PROPN
ejpam-6479	302	2	0.2681	0.2681	NUM
ejpam-6479	302	3	,	,	PUNCT
ejpam-6479	302	4	ϑv	ϑv	ADP
ejpam-6479	302	5	2(s	2(s	NUM
ejpam-6479	302	6	)	)	PUNCT
ejpam-6479	303	1	=	=	NOUN
ejpam-6479	303	2	0.5e−0.5	0.5e−0.5	NUM
ejpam-6479	304	1	≈	≈	PROPN
ejpam-6479	304	2	0.3032	0.3032	NUM
ejpam-6479	304	3	,	,	PUNCT
ejpam-6479	304	4	ϑv	ϑv	ADP
ejpam-6479	304	5	2(t	2(t	NUM
ejpam-6479	304	6	)	)	PUNCT
ejpam-6479	305	1	=	=	PUNCT
ejpam-6479	305	2	0.7e−0.7	0.7e−0.7	NUM
ejpam-6479	305	3	≈	≈	PROPN
ejpam-6479	305	4	0.3476	0.3476	NUM
ejpam-6479	305	5	.	.	PUNCT
ejpam-6479	306	1	then	then	ADV
ejpam-6479	306	2	ev	ev	X
ejpam-6479	306	3	=	=	PRON
ejpam-6479	306	4	{	{	PUNCT
ejpam-6479	306	5	(	(	PUNCT
ejpam-6479	306	6	p	p	X
ejpam-6479	306	7	,	,	PUNCT
ejpam-6479	306	8	s	s	PART
ejpam-6479	306	9	)	)	PUNCT
ejpam-6479	306	10	,	,	PUNCT
ejpam-6479	306	11	(	(	PUNCT
ejpam-6479	306	12	p	p	X
ejpam-6479	306	13	,	,	PUNCT
ejpam-6479	306	14	t	t	PROPN
ejpam-6479	306	15	)	)	PUNCT
ejpam-6479	306	16	,	,	PUNCT
ejpam-6479	306	17	(	(	PUNCT
ejpam-6479	306	18	q	q	X
ejpam-6479	306	19	,	,	PUNCT
ejpam-6479	306	20	s	s	PART
ejpam-6479	306	21	)	)	PUNCT
ejpam-6479	306	22	,	,	PUNCT
ejpam-6479	306	23	(	(	PUNCT
ejpam-6479	306	24	q	q	X
ejpam-6479	306	25	,	,	PUNCT
ejpam-6479	306	26	t	t	PROPN
ejpam-6479	306	27	)	)	PUNCT
ejpam-6479	306	28	}	}	PUNCT
ejpam-6479	306	29	with	with	ADP
ejpam-6479	306	30	ϑv	ϑv	NOUN
ejpam-6479	306	31	(	(	PUNCT
ejpam-6479	306	32	p	p	X
ejpam-6479	306	33	,	,	PUNCT
ejpam-6479	306	34	s	s	NOUN
ejpam-6479	306	35	)	)	PUNCT
ejpam-6479	306	36	=	=	SYM
ejpam-6479	306	37	min(0.3293	min(0.3293	NOUN
ejpam-6479	306	38	,	,	PUNCT
ejpam-6479	306	39	0.3032	0.3032	NUM
ejpam-6479	306	40	)	)	PUNCT
ejpam-6479	306	41	=	=	SYM
ejpam-6479	307	1	0.3032	0.3032	NUM
ejpam-6479	307	2	,	,	PUNCT
ejpam-6479	307	3	ϑv	ϑv	X
ejpam-6479	307	4	(	(	PUNCT
ejpam-6479	307	5	p	p	X
ejpam-6479	307	6	,	,	PUNCT
ejpam-6479	307	7	t	t	PROPN
ejpam-6479	307	8	)	)	PUNCT
ejpam-6479	307	9	=	=	SYM
ejpam-6479	307	10	min(0.3293	min(0.3293	NOUN
ejpam-6479	307	11	,	,	PUNCT
ejpam-6479	307	12	0.3476	0.3476	NUM
ejpam-6479	307	13	)	)	PUNCT
ejpam-6479	307	14	=	=	SYM
ejpam-6479	307	15	0.3293	0.3293	NUM
ejpam-6479	307	16	,	,	PUNCT
ejpam-6479	307	17	ϑv	ϑv	X
ejpam-6479	307	18	(	(	PUNCT
ejpam-6479	307	19	q	q	X
ejpam-6479	307	20	,	,	PUNCT
ejpam-6479	307	21	s	s	X
ejpam-6479	307	22	)	)	PUNCT
ejpam-6479	307	23	=	=	PUNCT
ejpam-6479	308	1	min(0.2681	min(0.2681	ADV
ejpam-6479	308	2	,	,	PUNCT
ejpam-6479	308	3	0.3032	0.3032	NUM
ejpam-6479	308	4	)	)	PUNCT
ejpam-6479	308	5	=	=	SYM
ejpam-6479	309	1	0.2681	0.2681	NUM
ejpam-6479	309	2	,	,	PUNCT
ejpam-6479	309	3	ϑv	ϑv	ADP
ejpam-6479	309	4	(	(	PUNCT
ejpam-6479	309	5	q	q	NOUN
ejpam-6479	309	6	,	,	PUNCT
ejpam-6479	309	7	t	t	PROPN
ejpam-6479	309	8	)	)	PUNCT
ejpam-6479	309	9	=	=	PUNCT
ejpam-6479	310	1	min(0.2681	min(0.2681	ADV
ejpam-6479	310	2	,	,	PUNCT
ejpam-6479	310	3	0.3476	0.3476	NUM
ejpam-6479	310	4	)	)	PUNCT
ejpam-6479	310	5	=	=	SYM
ejpam-6479	311	1	0.2681	0.2681	NUM
ejpam-6479	311	2	.	.	PUNCT
ejpam-6479	312	1	edges	edge	NOUN
ejpam-6479	312	2	:	:	PUNCT
ejpam-6479	312	3	since	since	SCONJ
ejpam-6479	312	4	each	each	DET
ejpam-6479	312	5	eei	eei	NOUN
ejpam-6479	312	6	has	have	VERB
ejpam-6479	312	7	(	(	PUNCT
ejpam-6479	312	8	p	p	X
ejpam-6479	312	9	,	,	PUNCT
ejpam-6479	312	10	q	q	NOUN
ejpam-6479	312	11	)	)	PUNCT
ejpam-6479	312	12	,	,	PUNCT
ejpam-6479	312	13	ee	ee	ADP
ejpam-6479	312	14	=	=	PRON
ejpam-6479	312	15	{	{	PUNCT
ejpam-6479	312	16	(	(	PUNCT
ejpam-6479	312	17	(	(	PUNCT
ejpam-6479	312	18	p	p	X
ejpam-6479	312	19	,	,	PUNCT
ejpam-6479	312	20	s	s	PART
ejpam-6479	312	21	)	)	PUNCT
ejpam-6479	312	22	,	,	PUNCT
ejpam-6479	312	23	(	(	PUNCT
ejpam-6479	312	24	q	q	X
ejpam-6479	312	25	,	,	PUNCT
ejpam-6479	312	26	t	t	PROPN
ejpam-6479	312	27	)	)	PUNCT
ejpam-6479	312	28	)	)	PUNCT
ejpam-6479	312	29	,	,	PUNCT
ejpam-6479	312	30	(	(	PUNCT
ejpam-6479	312	31	(	(	PUNCT
ejpam-6479	312	32	p	p	X
ejpam-6479	312	33	,	,	PUNCT
ejpam-6479	312	34	t	t	PROPN
ejpam-6479	312	35	)	)	PUNCT
ejpam-6479	312	36	,	,	PUNCT
ejpam-6479	312	37	(	(	PUNCT
ejpam-6479	312	38	q	q	X
ejpam-6479	312	39	,	,	PUNCT
ejpam-6479	312	40	s	s	NOUN
ejpam-6479	312	41	)	)	PUNCT
ejpam-6479	312	42	)	)	PUNCT
ejpam-6479	312	43	(	(	PUNCT
ejpam-6479	312	44	(	(	PUNCT
ejpam-6479	312	45	p	p	X
ejpam-6479	312	46	,	,	PUNCT
ejpam-6479	312	47	s	s	PART
ejpam-6479	312	48	)	)	PUNCT
ejpam-6479	312	49	,	,	PUNCT
ejpam-6479	312	50	(	(	PUNCT
ejpam-6479	312	51	q	q	X
ejpam-6479	312	52	,	,	PUNCT
ejpam-6479	312	53	s	s	NOUN
ejpam-6479	312	54	)	)	PUNCT
ejpam-6479	312	55	)	)	PUNCT
ejpam-6479	312	56	(	(	PUNCT
ejpam-6479	312	57	(	(	PUNCT
ejpam-6479	312	58	q	q	NOUN
ejpam-6479	312	59	,	,	PUNCT
ejpam-6479	312	60	s	s	PART
ejpam-6479	312	61	)	)	PUNCT
ejpam-6479	312	62	,	,	PUNCT
ejpam-6479	312	63	(	(	PUNCT
ejpam-6479	312	64	q	q	X
ejpam-6479	312	65	,	,	PUNCT
ejpam-6479	312	66	t	t	PROPN
ejpam-6479	312	67	)	)	PUNCT
ejpam-6479	312	68	)	)	PUNCT
ejpam-6479	312	69	}	}	PUNCT
ejpam-6479	312	70	.	.	PUNCT
ejpam-6479	313	1	if	if	SCONJ
ejpam-6479	313	2	αe1(p	αe1(p	PROPN
ejpam-6479	313	3	,	,	PUNCT
ejpam-6479	313	4	q	q	X
ejpam-6479	313	5	)	)	PUNCT
ejpam-6479	313	6	=	=	SYM
ejpam-6479	313	7	0.5	0.5	NUM
ejpam-6479	313	8	,	,	PUNCT
ejpam-6479	313	9	αe2(s	αe2(s	PROPN
ejpam-6479	313	10	,	,	PUNCT
ejpam-6479	313	11	t	t	PROPN
ejpam-6479	313	12	)	)	PUNCT
ejpam-6479	313	13	=	=	SYM
ejpam-6479	313	14	0.4	0.4	NUM
ejpam-6479	313	15	,	,	PUNCT
ejpam-6479	313	16	then	then	ADV
ejpam-6479	313	17	ϑe1(p	ϑe1(p	PROPN
ejpam-6479	313	18	,	,	PUNCT
ejpam-6479	313	19	q	q	NOUN
ejpam-6479	313	20	)	)	PUNCT
ejpam-6479	313	21	=	=	SYM
ejpam-6479	313	22	0.3032	0.3032	NUM
ejpam-6479	313	23	,	,	PUNCT
ejpam-6479	313	24	ϑe2(s	ϑe2(s	PROPN
ejpam-6479	313	25	,	,	PUNCT
ejpam-6479	313	26	t	t	PROPN
ejpam-6479	313	27	)	)	PUNCT
ejpam-6479	313	28	=	=	SYM
ejpam-6479	313	29	0.2681	0.2681	NUM
ejpam-6479	313	30	,	,	PUNCT
ejpam-6479	313	31	and	and	CCONJ
ejpam-6479	313	32	ϑe((p	ϑe((p	NOUN
ejpam-6479	313	33	,	,	PUNCT
ejpam-6479	313	34	s	s	PART
ejpam-6479	313	35	)	)	PUNCT
ejpam-6479	313	36	,	,	PUNCT
ejpam-6479	313	37	(	(	PUNCT
ejpam-6479	313	38	q	q	X
ejpam-6479	313	39	,	,	PUNCT
ejpam-6479	313	40	t	t	PROPN
ejpam-6479	313	41	)	)	PUNCT
ejpam-6479	313	42	)	)	PUNCT
ejpam-6479	314	1	=	=	PUNCT
ejpam-6479	314	2	0.2681	0.2681	NUM
ejpam-6479	314	3	,	,	PUNCT
ejpam-6479	314	4	ϑe((p	ϑe((p	NOUN
ejpam-6479	314	5	,	,	PUNCT
ejpam-6479	314	6	t	t	PROPN
ejpam-6479	314	7	)	)	PUNCT
ejpam-6479	314	8	,	,	PUNCT
ejpam-6479	314	9	(	(	PUNCT
ejpam-6479	314	10	q	q	X
ejpam-6479	314	11	,	,	PUNCT
ejpam-6479	314	12	s	s	NOUN
ejpam-6479	314	13	)	)	PUNCT
ejpam-6479	314	14	)	)	PUNCT
ejpam-6479	315	1	=	=	PUNCT
ejpam-6479	315	2	0.2681	0.2681	NUM
ejpam-6479	315	3	,	,	PUNCT
ejpam-6479	315	4	ϑe((p	ϑe((p	NOUN
ejpam-6479	315	5	,	,	PUNCT
ejpam-6479	315	6	s	s	PART
ejpam-6479	315	7	)	)	PUNCT
ejpam-6479	315	8	,	,	PUNCT
ejpam-6479	315	9	(	(	PUNCT
ejpam-6479	315	10	q	q	X
ejpam-6479	315	11	,	,	PUNCT
ejpam-6479	315	12	s	s	NOUN
ejpam-6479	315	13	)	)	PUNCT
ejpam-6479	315	14	)	)	PUNCT
ejpam-6479	316	1	=	=	PUNCT
ejpam-6479	316	2	0.3032	0.3032	NUM
ejpam-6479	316	3	,	,	PUNCT
ejpam-6479	316	4	ϑe((q	ϑe((q	NOUN
ejpam-6479	316	5	,	,	PUNCT
ejpam-6479	316	6	s	s	NOUN
ejpam-6479	316	7	)	)	PUNCT
ejpam-6479	316	8	,	,	PUNCT
ejpam-6479	316	9	(	(	PUNCT
ejpam-6479	316	10	q	q	X
ejpam-6479	316	11	,	,	PUNCT
ejpam-6479	316	12	t	t	PROPN
ejpam-6479	316	13	)	)	PUNCT
ejpam-6479	316	14	)	)	PUNCT
ejpam-6479	317	1	=	=	PUNCT
ejpam-6479	317	2	0.2681	0.2681	NUM
ejpam-6479	317	3	.	.	PUNCT
ejpam-6479	318	1	figure	figure	NOUN
ejpam-6479	318	2	8	8	NUM
ejpam-6479	318	3	:	:	PUNCT
ejpam-6479	318	4	exponential	exponential	ADJ
ejpam-6479	318	5	fuzzy	fuzzy	ADJ
ejpam-6479	318	6	graph	graph	NOUN
ejpam-6479	318	7	theorem	theorem	ADJ
ejpam-6479	318	8	2	2	NUM
ejpam-6479	318	9	.	.	PUNCT
ejpam-6479	318	10	suppose	suppose	VERB
ejpam-6479	318	11	that	that	SCONJ
ejpam-6479	318	12	g	g	PROPN
ejpam-6479	318	13	is	be	AUX
ejpam-6479	318	14	the	the	DET
ejpam-6479	318	15	composition	composition	NOUN
ejpam-6479	318	16	of	of	ADP
ejpam-6479	318	17	two	two	NUM
ejpam-6479	318	18	exponential	exponential	ADJ
ejpam-6479	318	19	fuzzy	fuzzy	ADJ
ejpam-6479	318	20	graph	graph	NOUN
ejpam-6479	318	21	g1	g1	PROPN
ejpam-6479	318	22	and	and	CCONJ
ejpam-6479	318	23	g2	g2	PROPN
ejpam-6479	318	24	.	.	PUNCT
ejpam-6479	319	1	let	let	AUX
ejpam-6479	319	2	(	(	PUNCT
ejpam-6479	319	3	ϑv	ϑv	PART
ejpam-6479	319	4	,	,	PUNCT
ejpam-6479	319	5	ϑe	ϑe	VERB
ejpam-6479	319	6	)	)	PUNCT
ejpam-6479	319	7	be	be	AUX
ejpam-6479	319	8	a	a	DET
ejpam-6479	319	9	exponential	exponential	ADJ
ejpam-6479	319	10	fuzzy	fuzzy	ADJ
ejpam-6479	319	11	subgraph	subgraph	NOUN
ejpam-6479	319	12	of	of	ADP
ejpam-6479	319	13	g.	g.	PROPN
ejpam-6479	319	14	then	then	ADV
ejpam-6479	319	15	(	(	PUNCT
ejpam-6479	319	16	ϑv	ϑv	INTJ
ejpam-6479	319	17	,	,	PUNCT
ejpam-6479	319	18	ϑe	ϑe	VERB
ejpam-6479	319	19	)	)	PUNCT
ejpam-6479	319	20	is	be	AUX
ejpam-6479	319	21	the	the	DET
ejpam-6479	319	22	composition	composition	NOUN
ejpam-6479	319	23	w.	w.	PROPN
ejpam-6479	319	24	f.	f.	PROPN
ejpam-6479	319	25	al	al	PROPN
ejpam-6479	319	26	-	-	PUNCT
ejpam-6479	319	27	omeri	omeri	PROPN
ejpam-6479	319	28	et	et	PROPN
ejpam-6479	319	29	al	al	PROPN
ejpam-6479	319	30	.	.	PUNCT
ejpam-6479	319	31	/	/	SYM
ejpam-6479	319	32	eur	eur	PROPN
ejpam-6479	319	33	.	.	PUNCT
ejpam-6479	320	1	j.	j.	PROPN
ejpam-6479	320	2	pure	pure	PROPN
ejpam-6479	320	3	appl	appl	PROPN
ejpam-6479	320	4	.	.	PROPN
ejpam-6479	320	5	math	math	PROPN
ejpam-6479	320	6	,	,	PUNCT
ejpam-6479	320	7	18	18	NUM
ejpam-6479	320	8	(	(	PUNCT
ejpam-6479	320	9	3	3	NUM
ejpam-6479	320	10	)	)	PUNCT
ejpam-6479	320	11	(	(	PUNCT
ejpam-6479	320	12	2025	2025	NUM
ejpam-6479	320	13	)	)	PUNCT
ejpam-6479	320	14	,	,	PUNCT
ejpam-6479	320	15	6479	6479	NUM
ejpam-6479	320	16	15	15	NUM
ejpam-6479	320	17	of	of	ADP
ejpam-6479	320	18	28	28	NUM
ejpam-6479	320	19	of	of	ADP
ejpam-6479	320	20	exponential	exponential	ADJ
ejpam-6479	320	21	fuzzy	fuzzy	ADJ
ejpam-6479	320	22	subgraphs	subgraphs	NOUN
ejpam-6479	320	23	g1	g1	PROPN
ejpam-6479	320	24	and	and	CCONJ
ejpam-6479	320	25	g2	g2	PROPN
ejpam-6479	320	26	.	.	PUNCT
ejpam-6479	321	1	consider	consider	VERB
ejpam-6479	321	2	the	the	DET
ejpam-6479	321	3	following	follow	VERB
ejpam-6479	321	4	equation	equation	NOUN
ejpam-6479	321	5	(	(	PUNCT
ejpam-6479	321	6	1),(2	1),(2	NUM
ejpam-6479	321	7	)	)	PUNCT
ejpam-6479	321	8	and	and	CCONJ
ejpam-6479	321	9	(	(	PUNCT
ejpam-6479	321	10	3	3	X
ejpam-6479	321	11	)	)	PUNCT
ejpam-6479	321	12	of	of	ADP
ejpam-6479	321	13	theorem	theorem	ADJ
ejpam-6479	321	14	1	1	NUM
ejpam-6479	321	15	and	and	CCONJ
ejpam-6479	321	16	min{ym	min{ym	PROPN
ejpam-6479	321	17	,	,	PUNCT
ejpam-6479	321	18	yn	yn	PROPN
ejpam-6479	321	19	,	,	PUNCT
ejpam-6479	321	20	dkl	dkl	PROPN
ejpam-6479	321	21	}	}	PUNCT
ejpam-6479	321	22	=	=	SYM
ejpam-6479	321	23	ϑe((w1k	ϑe((w1k	PROPN
ejpam-6479	321	24	,	,	PUNCT
ejpam-6479	321	25	w2	w2	NOUN
ejpam-6479	321	26	m	m	PROPN
ejpam-6479	321	27	)	)	PUNCT
ejpam-6479	321	28	,	,	PUNCT
ejpam-6479	321	29	(	(	PUNCT
ejpam-6479	321	30	w1l	w1l	PROPN
ejpam-6479	321	31	,	,	PUNCT
ejpam-6479	321	32	w2n	w2n	X
ejpam-6479	321	33	)	)	PUNCT
ejpam-6479	321	34	)	)	PUNCT
ejpam-6479	321	35	,	,	PUNCT
ejpam-6479	321	36	where(w1k	where(w1k	PROPN
ejpam-6479	321	37	,	,	PUNCT
ejpam-6479	321	38	w2	w2	NOUN
ejpam-6479	321	39	m	m	PROPN
ejpam-6479	321	40	)	)	PUNCT
ejpam-6479	321	41	,	,	PUNCT
ejpam-6479	321	42	(	(	PUNCT
ejpam-6479	321	43	w1l	w1l	PROPN
ejpam-6479	321	44	,	,	PUNCT
ejpam-6479	321	45	w2n	w2n	X
ejpam-6479	321	46	)	)	PUNCT
ejpam-6479	321	47	∈	∈	PROPN
ejpam-6479	321	48	ee1	ee1	PROPN
ejpam-6479	321	49	◦	◦	NOUN
ejpam-6479	321	50	e2	e2	PROPN
ejpam-6479	321	51	(	(	PUNCT
ejpam-6479	321	52	4	4	NUM
ejpam-6479	321	53	)	)	PUNCT
ejpam-6479	321	54	a	a	DET
ejpam-6479	321	55	necessary	necessary	ADJ
ejpam-6479	321	56	condition	condition	NOUN
ejpam-6479	321	57	for	for	ADP
ejpam-6479	321	58	(	(	PUNCT
ejpam-6479	321	59	ϑv	ϑv	NOUN
ejpam-6479	321	60	,	,	PUNCT
ejpam-6479	321	61	ϑe	ϑe	VERB
ejpam-6479	321	62	)	)	PUNCT
ejpam-6479	321	63	to	to	PART
ejpam-6479	321	64	be	be	AUX
ejpam-6479	321	65	a	a	DET
ejpam-6479	321	66	composition	composition	NOUN
ejpam-6479	321	67	of	of	ADP
ejpam-6479	321	68	exponential	exponential	ADJ
ejpam-6479	321	69	fuzzy	fuzzy	ADJ
ejpam-6479	321	70	subgraph	subgraph	NOUN
ejpam-6479	321	71	of	of	ADP
ejpam-6479	321	72	g1	g1	PROPN
ejpam-6479	321	73	and	and	CCONJ
ejpam-6479	321	74	g2	g2	PROPN
ejpam-6479	321	75	is	be	AUX
ejpam-6479	321	76	that	that	SCONJ
ejpam-6479	321	77	a	a	DET
ejpam-6479	321	78	solution	solution	NOUN
ejpam-6479	321	79	to	to	ADP
ejpam-6479	321	80	equation	equation	NOUN
ejpam-6479	321	81	(	(	PUNCT
ejpam-6479	321	82	1	1	NUM
ejpam-6479	321	83	)	)	PUNCT
ejpam-6479	321	84	to	to	ADP
ejpam-6479	321	85	(	(	PUNCT
ejpam-6479	321	86	4	4	X
ejpam-6479	321	87	)	)	PUNCT
ejpam-6479	321	88	exists	exist	VERB
ejpam-6479	321	89	.	.	PUNCT
ejpam-6479	322	1	suppose	suppose	VERB
ejpam-6479	322	2	that	that	SCONJ
ejpam-6479	322	3	a	a	DET
ejpam-6479	322	4	solution	solution	NOUN
ejpam-6479	322	5	to	to	ADP
ejpam-6479	322	6	equation	equation	NOUN
ejpam-6479	322	7	(	(	PUNCT
ejpam-6479	322	8	1	1	NUM
ejpam-6479	322	9	)	)	PUNCT
ejpam-6479	322	10	to	to	ADP
ejpam-6479	322	11	(	(	PUNCT
ejpam-6479	322	12	4	4	X
ejpam-6479	322	13	)	)	PUNCT
ejpam-6479	322	14	exists	exist	VERB
ejpam-6479	322	15	.	.	PUNCT
ejpam-6479	323	1	if	if	SCONJ
ejpam-6479	323	2	d̂kl	d̂kl	PROPN
ejpam-6479	323	3	≥	≥	PROPN
ejpam-6479	323	4	ϑe((w1k	ϑe((w1k	PROPN
ejpam-6479	323	5	,	,	PUNCT
ejpam-6479	323	6	w2	w2	NOUN
ejpam-6479	323	7	m	m	PROPN
ejpam-6479	323	8	)	)	PUNCT
ejpam-6479	323	9	,	,	PUNCT
ejpam-6479	323	10	(	(	PUNCT
ejpam-6479	323	11	w1l	w1l	PROPN
ejpam-6479	323	12	,	,	PUNCT
ejpam-6479	323	13	w2n	w2n	X
ejpam-6479	323	14	)	)	PUNCT
ejpam-6479	323	15	)	)	PUNCT
ejpam-6479	324	1	∈	∈	PROPN
ejpam-6479	324	2	ee1	ee1	PROPN
ejpam-6479	324	3	◦	◦	NOUN
ejpam-6479	324	4	e2	e2	PROPN
ejpam-6479	324	5	,	,	PUNCT
ejpam-6479	324	6	then	then	ADV
ejpam-6479	324	7	(	(	PUNCT
ejpam-6479	324	8	ϑv	ϑv	INTJ
ejpam-6479	324	9	,	,	PUNCT
ejpam-6479	324	10	ϑe	ϑe	VERB
ejpam-6479	324	11	)	)	PUNCT
ejpam-6479	324	12	is	be	AUX
ejpam-6479	324	13	a	a	DET
ejpam-6479	324	14	composition	composition	NOUN
ejpam-6479	324	15	of	of	ADP
ejpam-6479	324	16	exponential	exponential	ADJ
ejpam-6479	324	17	fuzzy	fuzzy	ADJ
ejpam-6479	324	18	subgraphs	subgraph	NOUN
ejpam-6479	324	19	of	of	ADP
ejpam-6479	324	20	g1	g1	NOUN
ejpam-6479	324	21	and	and	CCONJ
ejpam-6479	324	22	g2	g2	PROPN
ejpam-6479	324	23	.	.	PUNCT
ejpam-6479	325	1	proof	proof	NOUN
ejpam-6479	325	2	.	.	PUNCT
ejpam-6479	326	1	the	the	DET
ejpam-6479	326	2	necessary	necessary	ADJ
ejpam-6479	326	3	part	part	NOUN
ejpam-6479	326	4	of	of	ADP
ejpam-6479	326	5	the	the	DET
ejpam-6479	326	6	theorem	theorem	NOUN
ejpam-6479	326	7	is	be	AUX
ejpam-6479	326	8	clear	clear	ADJ
ejpam-6479	326	9	.	.	PUNCT
ejpam-6479	327	1	suppose	suppose	VERB
ejpam-6479	327	2	that	that	SCONJ
ejpam-6479	327	3	a	a	DET
ejpam-6479	327	4	solution	solution	NOUN
ejpam-6479	327	5	of	of	ADP
ejpam-6479	327	6	equation	equation	NOUN
ejpam-6479	327	7	(	(	PUNCT
ejpam-6479	327	8	1	1	NUM
ejpam-6479	327	9	)	)	PUNCT
ejpam-6479	327	10	to	to	ADP
ejpam-6479	327	11	(	(	PUNCT
ejpam-6479	327	12	4	4	X
ejpam-6479	327	13	)	)	PUNCT
ejpam-6479	327	14	exists	exist	VERB
ejpam-6479	327	15	.	.	PUNCT
ejpam-6479	328	1	let	let	VERB
ejpam-6479	328	2	ĉmn	ĉmn	ADP
ejpam-6479	328	3	=	=	SYM
ejpam-6479	328	4	min{ϑe((w1k	min{ϑe((w1k	PROPN
ejpam-6479	328	5	,	,	PUNCT
ejpam-6479	328	6	w2	w2	NOUN
ejpam-6479	328	7	m	m	PROPN
ejpam-6479	328	8	)	)	PUNCT
ejpam-6479	328	9	,	,	PUNCT
ejpam-6479	328	10	(	(	PUNCT
ejpam-6479	328	11	w1k	w1k	PROPN
ejpam-6479	328	12	,	,	PUNCT
ejpam-6479	328	13	w2n))|k	w2n))|k	PROPN
ejpam-6479	328	14	=	=	SYM
ejpam-6479	328	15	1	1	NUM
ejpam-6479	328	16	,	,	PUNCT
ejpam-6479	328	17	·	·	PUNCT
ejpam-6479	328	18	·	·	PUNCT
ejpam-6479	328	19	·	·	PUNCT
ejpam-6479	328	20	,	,	PUNCT
ejpam-6479	328	21	i	i	PRON
ejpam-6479	328	22	}	}	PUNCT
ejpam-6479	328	23	and	and	CCONJ
ejpam-6479	328	24	d̂kl	d̂kl	NOUN
ejpam-6479	328	25	=	=	SYM
ejpam-6479	328	26	min{ϑe((w1k	min{ϑe((w1k	PROPN
ejpam-6479	328	27	,	,	PUNCT
ejpam-6479	328	28	w2	w2	NOUN
ejpam-6479	328	29	m	m	PROPN
ejpam-6479	328	30	)	)	PUNCT
ejpam-6479	328	31	,	,	PUNCT
ejpam-6479	328	32	(	(	PUNCT
ejpam-6479	328	33	w1l	w1l	PROPN
ejpam-6479	328	34	,	,	PUNCT
ejpam-6479	328	35	w2m))|m	w2m))|m	PROPN
ejpam-6479	328	36	=	=	SYM
ejpam-6479	328	37	1	1	NUM
ejpam-6479	328	38	,	,	PUNCT
ejpam-6479	328	39	·	·	PUNCT
ejpam-6479	328	40	·	·	PUNCT
ejpam-6479	328	41	·	·	PUNCT
ejpam-6479	328	42	,	,	PUNCT
ejpam-6479	328	43	j	j	PROPN
ejpam-6479	328	44	}	}	PUNCT
ejpam-6479	328	45	.	.	PUNCT
ejpam-6479	329	1	then	then	ADV
ejpam-6479	329	2	there	there	PRON
ejpam-6479	329	3	exists	exist	VERB
ejpam-6479	329	4	a	a	DET
ejpam-6479	329	5	solution	solution	NOUN
ejpam-6479	329	6	to	to	ADP
ejpam-6479	329	7	equations	equation	NOUN
ejpam-6479	329	8	(	(	PUNCT
ejpam-6479	329	9	1	1	NUM
ejpam-6479	329	10	)	)	PUNCT
ejpam-6479	329	11	to	to	ADP
ejpam-6479	329	12	(	(	PUNCT
ejpam-6479	329	13	4	4	NUM
ejpam-6479	329	14	)	)	PUNCT
ejpam-6479	329	15	as	as	SCONJ
ejpam-6479	329	16	determined	determine	VERB
ejpam-6479	329	17	.	.	PUNCT
ejpam-6479	330	1	then	then	ADV
ejpam-6479	330	2	the	the	DET
ejpam-6479	330	3	set	set	NOUN
ejpam-6479	330	4	of	of	ADP
ejpam-6479	330	5	the	the	DET
ejpam-6479	330	6	subgraphs	subgraph	NOUN
ejpam-6479	330	7	m	m	VERB
ejpam-6479	330	8	=	=	SYM
ejpam-6479	330	9	{	{	PUNCT
ejpam-6479	330	10	(	(	PUNCT
ejpam-6479	330	11	m	m	PROPN
ejpam-6479	330	12	,	,	PUNCT
ejpam-6479	330	13	n)|m	n)|m	PROPN
ejpam-6479	330	14	,	,	PUNCT
ejpam-6479	330	15	n	n	PRON
ejpam-6479	330	16	are	be	AUX
ejpam-6479	330	17	such	such	ADJ
ejpam-6479	330	18	that	that	SCONJ
ejpam-6479	330	19	w2mw2n	w2mw2n	PUNCT
ejpam-6479	330	20	∈	∈	PROPN
ejpam-6479	330	21	ee2	ee2	X
ejpam-6479	330	22	}	}	PUNCT
ejpam-6479	330	23	and	and	CCONJ
ejpam-6479	330	24	k	k	PROPN
ejpam-6479	331	1	=	=	PRON
ejpam-6479	331	2	{	{	PUNCT
ejpam-6479	331	3	(	(	PUNCT
ejpam-6479	331	4	k	k	NOUN
ejpam-6479	331	5	,	,	PUNCT
ejpam-6479	331	6	l)|k	l)|k	PROPN
ejpam-6479	331	7	,	,	PUNCT
ejpam-6479	331	8	l	l	NOUN
ejpam-6479	331	9	are	be	AUX
ejpam-6479	331	10	such	such	ADJ
ejpam-6479	331	11	that	that	PRON
ejpam-6479	331	12	w1kw1l	w1kw1l	ADJ
ejpam-6479	331	13	∈	∈	PROPN
ejpam-6479	331	14	ee1	ee1	PROPN
ejpam-6479	331	15	}	}	PUNCT
ejpam-6479	331	16	.	.	PUNCT
ejpam-6479	332	1	now	now	ADV
ejpam-6479	332	2	if	if	SCONJ
ejpam-6479	332	3	{	{	PUNCT
ejpam-6479	332	4	x1	x1	PROPN
ejpam-6479	332	5	,	,	PUNCT
ejpam-6479	332	6	·	·	PUNCT
ejpam-6479	332	7	·	·	PUNCT
ejpam-6479	332	8	·	·	PUNCT
ejpam-6479	332	9	,	,	PUNCT
ejpam-6479	332	10	xn	xn	X
ejpam-6479	332	11	}	}	PUNCT
ejpam-6479	332	12	∩	∩	NOUN
ejpam-6479	332	13	{	{	PUNCT
ejpam-6479	332	14	cmn|(m	cmn|(m	X
ejpam-6479	332	15	,	,	PUNCT
ejpam-6479	332	16	n	n	CCONJ
ejpam-6479	332	17	)	)	PUNCT
ejpam-6479	332	18	∈	∈	PROPN
ejpam-6479	332	19	j	j	PROPN
ejpam-6479	332	20	}	}	PUNCT
ejpam-6479	332	21	∩	∩	NOUN
ejpam-6479	332	22	{	{	PUNCT
ejpam-6479	332	23	y1	y1	NOUN
ejpam-6479	332	24	,	,	PUNCT
ejpam-6479	332	25	·	·	PUNCT
ejpam-6479	332	26	·	·	PUNCT
ejpam-6479	332	27	·	·	PUNCT
ejpam-6479	332	28	,	,	PUNCT
ejpam-6479	332	29	ym	ym	PROPN
ejpam-6479	332	30	}	}	PUNCT
ejpam-6479	332	31	∩	∩	NOUN
ejpam-6479	332	32	{	{	PUNCT
ejpam-6479	332	33	dkl|(k	dkl|(k	PROPN
ejpam-6479	332	34	,	,	PUNCT
ejpam-6479	332	35	l	l	NOUN
ejpam-6479	332	36	)	)	PUNCT
ejpam-6479	332	37	∈	∈	PROPN
ejpam-6479	332	38	i	i	PRON
ejpam-6479	332	39	}	}	PUNCT
ejpam-6479	332	40	is	be	AUX
ejpam-6479	332	41	any	any	DET
ejpam-6479	332	42	solution	solution	NOUN
ejpam-6479	332	43	to	to	ADP
ejpam-6479	332	44	(	(	PUNCT
ejpam-6479	332	45	4	4	NUM
ejpam-6479	332	46	)	)	PUNCT
ejpam-6479	332	47	then	then	ADV
ejpam-6479	332	48	{	{	PUNCT
ejpam-6479	332	49	x1	x1	PROPN
ejpam-6479	332	50	,	,	PUNCT
ejpam-6479	332	51	·	·	PUNCT
ejpam-6479	332	52	·	·	PUNCT
ejpam-6479	332	53	·	·	PUNCT
ejpam-6479	332	54	,	,	PUNCT
ejpam-6479	332	55	xi	xi	X
ejpam-6479	332	56	}	}	PUNCT
ejpam-6479	332	57	∩	∩	NOUN
ejpam-6479	332	58	{	{	PUNCT
ejpam-6479	332	59	ĉmn|(m	ĉmn|(m	PROPN
ejpam-6479	332	60	,	,	PUNCT
ejpam-6479	332	61	n	n	CCONJ
ejpam-6479	332	62	)	)	PUNCT
ejpam-6479	332	63	∈	∈	PROPN
ejpam-6479	332	64	j	j	PROPN
ejpam-6479	332	65	}	}	PUNCT
ejpam-6479	332	66	∩	∩	NOUN
ejpam-6479	332	67	{	{	PUNCT
ejpam-6479	332	68	y1	y1	NOUN
ejpam-6479	332	69	,	,	PUNCT
ejpam-6479	332	70	·	·	PUNCT
ejpam-6479	332	71	·	·	PUNCT
ejpam-6479	332	72	·	·	PUNCT
ejpam-6479	332	73	,	,	PUNCT
ejpam-6479	332	74	yj	yj	PROPN
ejpam-6479	332	75	}	}	PUNCT
ejpam-6479	332	76	∩	∩	NOUN
ejpam-6479	332	77	{	{	PUNCT
ejpam-6479	332	78	d̂kl|(k	d̂kl|(k	PROPN
ejpam-6479	332	79	,	,	PUNCT
ejpam-6479	332	80	l	l	NOUN
ejpam-6479	332	81	)	)	PUNCT
ejpam-6479	332	82	∈	∈	PROPN
ejpam-6479	333	1	i	i	PROPN
ejpam-6479	333	2	}	}	PUNCT
ejpam-6479	333	3	because	because	SCONJ
ejpam-6479	333	4	every	every	DET
ejpam-6479	333	5	dkl	dkl	PROPN
ejpam-6479	333	6	≥	≥	PRON
ejpam-6479	333	7	d̂kl	d̂kl	NOUN
ejpam-6479	333	8	and	and	CCONJ
ejpam-6479	333	9	by	by	ADP
ejpam-6479	333	10	the	the	DET
ejpam-6479	333	11	hypothesis	hypothesis	NOUN
ejpam-6479	333	12	concerning	concern	VERB
ejpam-6479	333	13	the	the	DET
ejpam-6479	333	14	d̂kl	d̂kl	NOUN
ejpam-6479	333	15	.	.	PUNCT
ejpam-6479	334	1	thus	thus	ADV
ejpam-6479	334	2	if	if	SCONJ
ejpam-6479	334	3	(	(	PUNCT
ejpam-6479	334	4	ϑv	ϑv	ADP
ejpam-6479	334	5	i	i	PRON
ejpam-6479	334	6	,	,	PUNCT
ejpam-6479	334	7	ϑei	ϑei	NOUN
ejpam-6479	334	8	)	)	PUNCT
ejpam-6479	334	9	,	,	PUNCT
ejpam-6479	334	10	i	i	PRON
ejpam-6479	334	11	=	=	NOUN
ejpam-6479	334	12	1	1	NUM
ejpam-6479	334	13	,	,	PUNCT
ejpam-6479	334	14	2	2	NUM
ejpam-6479	334	15	are	be	AUX
ejpam-6479	334	16	defined	define	VERB
ejpam-6479	334	17	as	as	ADP
ejpam-6479	334	18	in	in	ADP
ejpam-6479	334	19	the	the	DET
ejpam-6479	334	20	proof	proof	NOUN
ejpam-6479	334	21	of	of	ADP
ejpam-6479	334	22	the	the	DET
ejpam-6479	334	23	theorem	theorem	NOUN
ejpam-6479	334	24	1	1	NUM
ejpam-6479	334	25	we	we	PRON
ejpam-6479	334	26	have	have	VERB
ejpam-6479	334	27	that	that	PRON
ejpam-6479	334	28	(	(	PUNCT
ejpam-6479	334	29	ϑv	ϑv	ADP
ejpam-6479	334	30	i	i	PRON
ejpam-6479	334	31	,	,	PUNCT
ejpam-6479	334	32	ϑei	ϑei	NOUN
ejpam-6479	334	33	)	)	PUNCT
ejpam-6479	334	34	is	be	AUX
ejpam-6479	334	35	a	a	DET
ejpam-6479	334	36	exponential	exponential	ADJ
ejpam-6479	334	37	fuzzy	fuzzy	ADJ
ejpam-6479	334	38	subgraph	subgraph	NOUN
ejpam-6479	334	39	of	of	ADP
ejpam-6479	334	40	gi	gi	NOUN
ejpam-6479	334	41	,	,	PUNCT
ejpam-6479	334	42	i	i	PRON
ejpam-6479	334	43	=	=	NOUN
ejpam-6479	334	44	1	1	NUM
ejpam-6479	334	45	,	,	PUNCT
ejpam-6479	334	46	2	2	NUM
ejpam-6479	334	47	and	and	CCONJ
ejpam-6479	334	48	ϑv	ϑv	NOUN
ejpam-6479	334	49	=	=	NOUN
ejpam-6479	334	50	ϑv	ϑv	ADP
ejpam-6479	334	51	1	1	NUM
ejpam-6479	335	1	◦	◦	NOUN
ejpam-6479	335	2	v	v	NOUN
ejpam-6479	335	3	2	2	NUM
ejpam-6479	335	4	and	and	CCONJ
ejpam-6479	335	5	ϑe	ϑe	VERB
ejpam-6479	335	6	=	=	PUNCT
ejpam-6479	335	7	ϑe1	ϑe1	NOUN
ejpam-6479	335	8	◦	◦	NOUN
ejpam-6479	335	9	e2	e2	NOUN
ejpam-6479	335	10	.	.	PUNCT
ejpam-6479	336	1	definition	definition	NOUN
ejpam-6479	336	2	15	15	NUM
ejpam-6479	336	3	(	(	PUNCT
ejpam-6479	336	4	union	union	NOUN
ejpam-6479	336	5	of	of	ADP
ejpam-6479	336	6	efg	efg	PROPN
ejpam-6479	336	7	)	)	PUNCT
ejpam-6479	336	8	.	.	PUNCT
ejpam-6479	337	1	let	let	VERB
ejpam-6479	337	2	g1	g1	PROPN
ejpam-6479	337	3	=	=	SYM
ejpam-6479	337	4	(	(	PUNCT
ejpam-6479	337	5	ev	ev	INTJ
ejpam-6479	337	6	,	,	PUNCT
ejpam-6479	337	7	ee	ee	PROPN
ejpam-6479	337	8	,	,	PUNCT
ejpam-6479	337	9	ϑv	ϑv	ADP
ejpam-6479	337	10	1	1	NUM
ejpam-6479	337	11	,	,	PUNCT
ejpam-6479	337	12	ϑe1	ϑe1	ADJ
ejpam-6479	337	13	)	)	PUNCT
ejpam-6479	337	14	and	and	CCONJ
ejpam-6479	337	15	g2	g2	PROPN
ejpam-6479	337	16	=	=	PRON
ejpam-6479	337	17	(	(	PUNCT
ejpam-6479	337	18	ev	ev	INTJ
ejpam-6479	337	19	,	,	PUNCT
ejpam-6479	337	20	ee	ee	PROPN
ejpam-6479	337	21	,	,	PUNCT
ejpam-6479	337	22	ϑv	ϑv	ADP
ejpam-6479	337	23	2	2	NUM
ejpam-6479	337	24	,	,	PUNCT
ejpam-6479	337	25	ϑe2	ϑe2	NOUN
ejpam-6479	337	26	)	)	PUNCT
ejpam-6479	337	27	be	be	VERB
ejpam-6479	337	28	two	two	NUM
ejpam-6479	337	29	efgs	efgs	NOUN
ejpam-6479	337	30	with	with	ADP
ejpam-6479	337	31	ϑv	ϑv	ADP
ejpam-6479	337	32	i(w	i(w	NOUN
ejpam-6479	337	33	)	)	PUNCT
ejpam-6479	337	34	=	=	SYM
ejpam-6479	338	1	αv	αv	X
ejpam-6479	338	2	i(w)e−λαv	i(w)e−λαv	PROPN
ejpam-6479	339	1	i	i	PRON
ejpam-6479	339	2	(	(	PUNCT
ejpam-6479	339	3	w	w	NOUN
ejpam-6479	339	4	)	)	PUNCT
ejpam-6479	339	5	,	,	PUNCT
ejpam-6479	339	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	339	7	,	,	PUNCT
ejpam-6479	339	8	w	w	NOUN
ejpam-6479	339	9	)	)	PUNCT
ejpam-6479	339	10	=	=	SYM
ejpam-6479	339	11	αei(r	αei(r	PROPN
ejpam-6479	339	12	,	,	PUNCT
ejpam-6479	339	13	w)e−λαei	w)e−λαei	PROPN
ejpam-6479	339	14	(	(	PUNCT
ejpam-6479	339	15	r	r	NOUN
ejpam-6479	339	16	,	,	PUNCT
ejpam-6479	339	17	w	w	NOUN
ejpam-6479	339	18	)	)	PUNCT
ejpam-6479	339	19	,	,	PUNCT
ejpam-6479	339	20	i	i	PRON
ejpam-6479	339	21	=	=	NOUN
ejpam-6479	339	22	1	1	NUM
ejpam-6479	339	23	,	,	PUNCT
ejpam-6479	339	24	2	2	NUM
ejpam-6479	339	25	.	.	PUNCT
ejpam-6479	339	26	then	then	ADV
ejpam-6479	339	27	the	the	DET
ejpam-6479	339	28	union	union	NOUN
ejpam-6479	339	29	of	of	ADP
ejpam-6479	339	30	efg	efg	PROPN
ejpam-6479	339	31	(	(	PUNCT
ejpam-6479	339	32	g1	g1	PROPN
ejpam-6479	339	33	∪	∪	PROPN
ejpam-6479	339	34	g2	g2	PROPN
ejpam-6479	339	35	)	)	PUNCT
ejpam-6479	339	36	is	be	AUX
ejpam-6479	339	37	defined	define	VERB
ejpam-6479	339	38	by	by	ADP
ejpam-6479	339	39	ϑv	ϑv	ADP
ejpam-6479	339	40	1∪v	1∪v	NUM
ejpam-6479	339	41	2(w	2(w	NUM
ejpam-6479	339	42	)	)	PUNCT
ejpam-6479	340	1	=	=	NOUN
ejpam-6479	340	2	max{ϑv	max{ϑv	NUM
ejpam-6479	340	3	1(w	1(w	NUM
ejpam-6479	340	4	)	)	PUNCT
ejpam-6479	340	5	,	,	PUNCT
ejpam-6479	340	6	ϑv	ϑv	ADP
ejpam-6479	340	7	2(w	2(w	NUM
ejpam-6479	340	8	)	)	PUNCT
ejpam-6479	340	9	}	}	PUNCT
ejpam-6479	340	10	ϑe1∪e2(r	ϑe1∪e2(r	VERB
ejpam-6479	340	11	,	,	PUNCT
ejpam-6479	340	12	w	w	NOUN
ejpam-6479	340	13	)	)	PUNCT
ejpam-6479	340	14	=	=	NOUN
ejpam-6479	340	15	max{ϑe1(r	max{ϑe1(r	NOUN
ejpam-6479	340	16	,	,	PUNCT
ejpam-6479	340	17	w	w	PROPN
ejpam-6479	340	18	)	)	PUNCT
ejpam-6479	340	19	,	,	PUNCT
ejpam-6479	340	20	ϑe2(r	ϑe2(r	PROPN
ejpam-6479	340	21	,	,	PUNCT
ejpam-6479	340	22	w	w	NOUN
ejpam-6479	340	23	)	)	PUNCT
ejpam-6479	340	24	}	}	PUNCT
ejpam-6479	340	25	w.	w.	PROPN
ejpam-6479	340	26	f.	f.	PROPN
ejpam-6479	340	27	al	al	PROPN
ejpam-6479	340	28	-	-	PUNCT
ejpam-6479	340	29	omeri	omeri	PROPN
ejpam-6479	340	30	et	et	PROPN
ejpam-6479	340	31	al	al	PROPN
ejpam-6479	340	32	.	.	PUNCT
ejpam-6479	340	33	/	/	SYM
ejpam-6479	340	34	eur	eur	PROPN
ejpam-6479	340	35	.	.	PUNCT
ejpam-6479	341	1	j.	j.	PROPN
ejpam-6479	341	2	pure	pure	PROPN
ejpam-6479	341	3	appl	appl	PROPN
ejpam-6479	341	4	.	.	PROPN
ejpam-6479	341	5	math	math	PROPN
ejpam-6479	341	6	,	,	PUNCT
ejpam-6479	341	7	18	18	NUM
ejpam-6479	341	8	(	(	PUNCT
ejpam-6479	341	9	3	3	NUM
ejpam-6479	341	10	)	)	PUNCT
ejpam-6479	341	11	(	(	PUNCT
ejpam-6479	341	12	2025	2025	NUM
ejpam-6479	341	13	)	)	PUNCT
ejpam-6479	341	14	,	,	PUNCT
ejpam-6479	341	15	6479	6479	NUM
ejpam-6479	341	16	16	16	NUM
ejpam-6479	341	17	of	of	ADP
ejpam-6479	341	18	28	28	NUM
ejpam-6479	341	19	definition	definition	NOUN
ejpam-6479	341	20	16	16	NUM
ejpam-6479	341	21	(	(	PUNCT
ejpam-6479	341	22	degree	degree	NOUN
ejpam-6479	341	23	of	of	ADP
ejpam-6479	341	24	union	union	NOUN
ejpam-6479	341	25	)	)	PUNCT
ejpam-6479	341	26	.	.	PUNCT
ejpam-6479	342	1	let	let	VERB
ejpam-6479	342	2	g1	g1	PROPN
ejpam-6479	342	3	=	=	SYM
ejpam-6479	342	4	(	(	PUNCT
ejpam-6479	342	5	ev	ev	INTJ
ejpam-6479	342	6	,	,	PUNCT
ejpam-6479	342	7	ee	ee	PROPN
ejpam-6479	342	8	,	,	PUNCT
ejpam-6479	342	9	ϑv	ϑv	ADP
ejpam-6479	342	10	1	1	NUM
ejpam-6479	342	11	,	,	PUNCT
ejpam-6479	342	12	ϑe1	ϑe1	ADJ
ejpam-6479	342	13	)	)	PUNCT
ejpam-6479	342	14	and	and	CCONJ
ejpam-6479	342	15	g2	g2	PROPN
ejpam-6479	342	16	=	=	PRON
ejpam-6479	342	17	(	(	PUNCT
ejpam-6479	342	18	ev	ev	INTJ
ejpam-6479	342	19	,	,	PUNCT
ejpam-6479	342	20	ee	ee	PROPN
ejpam-6479	342	21	,	,	PUNCT
ejpam-6479	342	22	ϑv	ϑv	ADP
ejpam-6479	342	23	2	2	NUM
ejpam-6479	342	24	,	,	PUNCT
ejpam-6479	342	25	ϑe2	ϑe2	NOUN
ejpam-6479	342	26	)	)	PUNCT
ejpam-6479	342	27	be	be	VERB
ejpam-6479	342	28	two	two	NUM
ejpam-6479	342	29	efgs	efgs	NOUN
ejpam-6479	342	30	with	with	ADP
ejpam-6479	342	31	ϑv	ϑv	ADP
ejpam-6479	342	32	i(w	i(w	NOUN
ejpam-6479	342	33	)	)	PUNCT
ejpam-6479	342	34	=	=	SYM
ejpam-6479	343	1	αv	αv	X
ejpam-6479	343	2	i(w)e−λαv	i(w)e−λαv	PROPN
ejpam-6479	344	1	i	i	PRON
ejpam-6479	344	2	(	(	PUNCT
ejpam-6479	344	3	w	w	NOUN
ejpam-6479	344	4	)	)	PUNCT
ejpam-6479	344	5	,	,	PUNCT
ejpam-6479	344	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	344	7	,	,	PUNCT
ejpam-6479	344	8	w	w	NOUN
ejpam-6479	344	9	)	)	PUNCT
ejpam-6479	344	10	=	=	SYM
ejpam-6479	344	11	αei(r	αei(r	PROPN
ejpam-6479	344	12	,	,	PUNCT
ejpam-6479	344	13	w)e−λαei	w)e−λαei	PROPN
ejpam-6479	344	14	(	(	PUNCT
ejpam-6479	344	15	r	r	NOUN
ejpam-6479	344	16	,	,	PUNCT
ejpam-6479	344	17	w	w	NOUN
ejpam-6479	344	18	)	)	PUNCT
ejpam-6479	344	19	,	,	PUNCT
ejpam-6479	344	20	i	i	PRON
ejpam-6479	344	21	=	=	NOUN
ejpam-6479	344	22	1	1	NUM
ejpam-6479	344	23	,	,	PUNCT
ejpam-6479	344	24	2	2	NUM
ejpam-6479	344	25	.	.	PUNCT
ejpam-6479	345	1	their	their	PRON
ejpam-6479	345	2	union	union	NOUN
ejpam-6479	345	3	of	of	ADP
ejpam-6479	345	4	efg	efg	PROPN
ejpam-6479	345	5	(	(	PUNCT
ejpam-6479	345	6	g1	g1	PROPN
ejpam-6479	345	7	∪	∪	ADP
ejpam-6479	345	8	g2	g2	PROPN
ejpam-6479	345	9	)	)	PUNCT
ejpam-6479	345	10	.	.	PUNCT
ejpam-6479	346	1	then	then	ADV
ejpam-6479	346	2	the	the	DET
ejpam-6479	346	3	degree	degree	NOUN
ejpam-6479	346	4	of	of	ADP
ejpam-6479	346	5	vertex	vertex	NOUN
ejpam-6479	346	6	of	of	ADP
ejpam-6479	346	7	union	union	NOUN
ejpam-6479	346	8	is	be	AUX
ejpam-6479	346	9	degg1∪g2(r	degg1∪g2(r	ADJ
ejpam-6479	346	10	)	)	PUNCT
ejpam-6479	347	1	=	=	SYM
ejpam-6479	347	2	∑	∑	PUNCT
ejpam-6479	347	3	max{ϑe1(r	max{ϑe1(r	PROPN
ejpam-6479	347	4	,	,	PUNCT
ejpam-6479	347	5	w	w	PROPN
ejpam-6479	347	6	)	)	PUNCT
ejpam-6479	347	7	,	,	PUNCT
ejpam-6479	347	8	ϑe2(r	ϑe2(r	PROPN
ejpam-6479	347	9	,	,	PUNCT
ejpam-6479	347	10	w	w	NOUN
ejpam-6479	347	11	)	)	PUNCT
ejpam-6479	347	12	}	}	PUNCT
ejpam-6479	347	13	example	example	NOUN
ejpam-6479	348	1	9	9	NUM
ejpam-6479	348	2	.	.	PUNCT
ejpam-6479	349	1	let	let	VERB
ejpam-6479	349	2	v	v	NOUN
ejpam-6479	349	3	1	1	NUM
ejpam-6479	349	4	=	=	SYM
ejpam-6479	349	5	{	{	PUNCT
ejpam-6479	349	6	r1	r1	PROPN
ejpam-6479	349	7	,	,	PUNCT
ejpam-6479	349	8	r2	r2	PROPN
ejpam-6479	349	9	,	,	PUNCT
ejpam-6479	349	10	r3	r3	PROPN
ejpam-6479	349	11	}	}	PUNCT
ejpam-6479	349	12	,	,	PUNCT
ejpam-6479	349	13	v	v	NOUN
ejpam-6479	349	14	2	2	NUM
ejpam-6479	349	15	=	=	SYM
ejpam-6479	349	16	{	{	PUNCT
ejpam-6479	349	17	r1	r1	PROPN
ejpam-6479	349	18	,	,	PUNCT
ejpam-6479	349	19	r4	r4	NOUN
ejpam-6479	349	20	,	,	PUNCT
ejpam-6479	349	21	r3	r3	PROPN
ejpam-6479	349	22	}	}	PUNCT
ejpam-6479	349	23	,	,	PUNCT
ejpam-6479	349	24	with	with	ADP
ejpam-6479	349	25	λ	λ	PROPN
ejpam-6479	349	26	=	=	SYM
ejpam-6479	349	27	1	1	X
ejpam-6479	349	28	.	.	PUNCT
ejpam-6479	349	29	base	base	NOUN
ejpam-6479	349	30	vertex	vertex	NOUN
ejpam-6479	349	31	-	-	PUNCT
ejpam-6479	349	32	memberships	membership	NOUN
ejpam-6479	349	33	and	and	CCONJ
ejpam-6479	349	34	base	base	NOUN
ejpam-6479	349	35	edge	edge	NOUN
ejpam-6479	349	36	-	-	PUNCT
ejpam-6479	349	37	membership	membership	NOUN
ejpam-6479	349	38	,	,	PUNCT
ejpam-6479	349	39	αv	αv	NOUN
ejpam-6479	349	40	1(r1	1(r1	NUM
ejpam-6479	349	41	)	)	PUNCT
ejpam-6479	350	1	=	=	SYM
ejpam-6479	350	2	0.4	0.4	NUM
ejpam-6479	350	3	,	,	PUNCT
ejpam-6479	350	4	αv	αv	NOUN
ejpam-6479	350	5	1(r2	1(r2	NUM
ejpam-6479	350	6	)	)	PUNCT
ejpam-6479	350	7	=	=	SYM
ejpam-6479	350	8	0.8	0.8	NUM
ejpam-6479	350	9	,	,	PUNCT
ejpam-6479	350	10	αv	αv	ADP
ejpam-6479	350	11	1(r3	1(r3	NUM
ejpam-6479	350	12	)	)	PUNCT
ejpam-6479	351	1	=	=	SYM
ejpam-6479	351	2	0.2	0.2	NUM
ejpam-6479	351	3	,	,	PUNCT
ejpam-6479	351	4	αv	αv	NOUN
ejpam-6479	351	5	2(r1	2(r1	NUM
ejpam-6479	351	6	)	)	PUNCT
ejpam-6479	351	7	=	=	PUNCT
ejpam-6479	351	8	0.3	0.3	NUM
ejpam-6479	351	9	,	,	PUNCT
ejpam-6479	351	10	αv	αv	ADP
ejpam-6479	351	11	2(r4	2(r4	NUM
ejpam-6479	351	12	)	)	PUNCT
ejpam-6479	351	13	=	=	NOUN
ejpam-6479	351	14	0.1	0.1	NUM
ejpam-6479	351	15	,	,	PUNCT
ejpam-6479	351	16	αv	αv	ADP
ejpam-6479	351	17	2(r3	2(r3	NUM
ejpam-6479	351	18	)	)	PUNCT
ejpam-6479	351	19	=	=	SYM
ejpam-6479	351	20	0.5	0.5	NUM
ejpam-6479	351	21	αe1(r1	αe1(r1	NOUN
ejpam-6479	351	22	,	,	PUNCT
ejpam-6479	351	23	r2	r2	PROPN
ejpam-6479	351	24	)	)	PUNCT
ejpam-6479	351	25	=	=	SYM
ejpam-6479	351	26	0.4	0.4	NUM
ejpam-6479	351	27	,	,	PUNCT
ejpam-6479	351	28	αe1(r2	αe1(r2	NUM
ejpam-6479	351	29	,	,	PUNCT
ejpam-6479	351	30	r3	r3	PROPN
ejpam-6479	351	31	)	)	PUNCT
ejpam-6479	351	32	=	=	SYM
ejpam-6479	351	33	0.2	0.2	NUM
ejpam-6479	351	34	,	,	PUNCT
ejpam-6479	351	35	αe2(r1	αe2(r1	NOUN
ejpam-6479	351	36	,	,	PUNCT
ejpam-6479	351	37	r4	r4	NOUN
ejpam-6479	351	38	)	)	PUNCT
ejpam-6479	351	39	=	=	SYM
ejpam-6479	351	40	0.3	0.3	NUM
ejpam-6479	351	41	,	,	PUNCT
ejpam-6479	351	42	αe2(r4	αe2(r4	NUM
ejpam-6479	351	43	,	,	PUNCT
ejpam-6479	351	44	r3	r3	PROPN
ejpam-6479	351	45	)	)	PUNCT
ejpam-6479	351	46	=	=	SYM
ejpam-6479	351	47	0.1	0.1	NUM
ejpam-6479	351	48	compute	compute	NOUN
ejpam-6479	351	49	ϑv	ϑv	ADP
ejpam-6479	351	50	1(r1	1(r1	NUM
ejpam-6479	351	51	)	)	PUNCT
ejpam-6479	351	52	=	=	SYM
ejpam-6479	352	1	0.2681	0.2681	NUM
ejpam-6479	352	2	,	,	PUNCT
ejpam-6479	352	3	ϑv	ϑv	ADP
ejpam-6479	352	4	1(r2	1(r2	NUM
ejpam-6479	352	5	)	)	PUNCT
ejpam-6479	352	6	=	=	SYM
ejpam-6479	352	7	0.3594	0.3594	NUM
ejpam-6479	352	8	,	,	PUNCT
ejpam-6479	352	9	ϑv	ϑv	ADP
ejpam-6479	352	10	1(r3	1(r3	NUM
ejpam-6479	352	11	)	)	PUNCT
ejpam-6479	352	12	=	=	PUNCT
ejpam-6479	353	1	0.1637	0.1637	NUM
ejpam-6479	353	2	ϑv	ϑv	ADP
ejpam-6479	353	3	2(r1	2(r1	NUM
ejpam-6479	353	4	)	)	PUNCT
ejpam-6479	353	5	=	=	SYM
ejpam-6479	353	6	0.2222	0.2222	NUM
ejpam-6479	353	7	,	,	PUNCT
ejpam-6479	353	8	ϑv	ϑv	ADP
ejpam-6479	353	9	2(r3	2(r3	NUM
ejpam-6479	353	10	)	)	PUNCT
ejpam-6479	353	11	=	=	SYM
ejpam-6479	353	12	0.0904	0.0904	NUM
ejpam-6479	353	13	,	,	PUNCT
ejpam-6479	353	14	ϑv	ϑv	ADP
ejpam-6479	353	15	2(r2	2(r2	NUM
ejpam-6479	353	16	)	)	PUNCT
ejpam-6479	353	17	=	=	PUNCT
ejpam-6479	353	18	0.3032	0.3032	NUM
ejpam-6479	353	19	ϑe1(r1	ϑe1(r1	NOUN
ejpam-6479	353	20	,	,	PUNCT
ejpam-6479	353	21	r2	r2	PROPN
ejpam-6479	353	22	)	)	PUNCT
ejpam-6479	353	23	=	=	SYM
ejpam-6479	354	1	0.2681	0.2681	NUM
ejpam-6479	354	2	,	,	PUNCT
ejpam-6479	354	3	ϑe1(r2	ϑe1(r2	NOUN
ejpam-6479	354	4	,	,	PUNCT
ejpam-6479	354	5	r3	r3	PROPN
ejpam-6479	354	6	)	)	PUNCT
ejpam-6479	354	7	=	=	PUNCT
ejpam-6479	355	1	0.1637	0.1637	NUM
ejpam-6479	355	2	ϑe2(r1	ϑe2(r1	NOUN
ejpam-6479	355	3	,	,	PUNCT
ejpam-6479	355	4	r4	r4	NOUN
ejpam-6479	355	5	)	)	PUNCT
ejpam-6479	355	6	=	=	SYM
ejpam-6479	355	7	0.2222	0.2222	NUM
ejpam-6479	355	8	,	,	PUNCT
ejpam-6479	355	9	ϑe2(r4	ϑe2(r4	NUM
ejpam-6479	355	10	,	,	PUNCT
ejpam-6479	355	11	r3	r3	PROPN
ejpam-6479	355	12	)	)	PUNCT
ejpam-6479	355	13	=	=	PUNCT
ejpam-6479	356	1	0.0904	0.0904	NUM
ejpam-6479	356	2	then	then	ADV
ejpam-6479	356	3	the	the	DET
ejpam-6479	356	4	union	union	NOUN
ejpam-6479	356	5	of	of	ADP
ejpam-6479	356	6	efg	efg	PROPN
ejpam-6479	356	7	is	be	AUX
ejpam-6479	356	8	ϑv	ϑv	ADP
ejpam-6479	356	9	1∪v	1∪v	NUM
ejpam-6479	356	10	2(r1	2(r1	NUM
ejpam-6479	356	11	)	)	PUNCT
ejpam-6479	356	12	=	=	SYM
ejpam-6479	356	13	0.2222	0.2222	NUM
ejpam-6479	356	14	,	,	PUNCT
ejpam-6479	356	15	ϑv	ϑv	ADP
ejpam-6479	356	16	1∪v	1∪v	NUM
ejpam-6479	356	17	2(r2	2(r2	NUM
ejpam-6479	356	18	)	)	PUNCT
ejpam-6479	356	19	=	=	PUNCT
ejpam-6479	356	20	0.2222	0.2222	NUM
ejpam-6479	356	21	ϑv	ϑv	ADP
ejpam-6479	356	22	1∪v	1∪v	NUM
ejpam-6479	356	23	2(r3	2(r3	NUM
ejpam-6479	356	24	)	)	PUNCT
ejpam-6479	356	25	=	=	SYM
ejpam-6479	357	1	0.2681	0.2681	NUM
ejpam-6479	357	2	,	,	PUNCT
ejpam-6479	357	3	ϑv	ϑv	ADP
ejpam-6479	357	4	1∪v	1∪v	NUM
ejpam-6479	357	5	2(r4	2(r4	NUM
ejpam-6479	357	6	)	)	PUNCT
ejpam-6479	357	7	=	=	PUNCT
ejpam-6479	358	1	0.3292	0.3292	NUM
ejpam-6479	358	2	ϑe1∪e2(r1	ϑe1∪e2(r1	PROPN
ejpam-6479	358	3	,	,	PUNCT
ejpam-6479	358	4	r2	r2	PROPN
ejpam-6479	358	5	)	)	PUNCT
ejpam-6479	359	1	=	=	SYM
ejpam-6479	359	2	0.2681	0.2681	NUM
ejpam-6479	359	3	,	,	PUNCT
ejpam-6479	359	4	ϑe1∪e2(r2	ϑe1∪e2(r2	NOUN
ejpam-6479	359	5	,	,	PUNCT
ejpam-6479	359	6	r3	r3	PROPN
ejpam-6479	359	7	)	)	PUNCT
ejpam-6479	359	8	=	=	PUNCT
ejpam-6479	360	1	0.1637	0.1637	NUM
ejpam-6479	360	2	ϑe1∪e2(r1	ϑe1∪e2(r1	PROPN
ejpam-6479	360	3	,	,	PUNCT
ejpam-6479	360	4	r4	r4	NOUN
ejpam-6479	360	5	)	)	PUNCT
ejpam-6479	360	6	=	=	SYM
ejpam-6479	360	7	0.0904	0.0904	NUM
ejpam-6479	360	8	,	,	PUNCT
ejpam-6479	360	9	ϑe1∪e2(r4	ϑe1∪e2(r4	PROPN
ejpam-6479	360	10	,	,	PUNCT
ejpam-6479	360	11	r3	r3	PROPN
ejpam-6479	360	12	)	)	PUNCT
ejpam-6479	360	13	=	=	PUNCT
ejpam-6479	360	14	0.2222	0.2222	NUM
ejpam-6479	360	15	theorem	theorem	NOUN
ejpam-6479	360	16	3	3	X
ejpam-6479	360	17	.	.	PUNCT
ejpam-6479	361	1	if	if	SCONJ
ejpam-6479	361	2	g	g	PROPN
ejpam-6479	361	3	is	be	AUX
ejpam-6479	361	4	a	a	DET
ejpam-6479	361	5	union	union	NOUN
ejpam-6479	361	6	of	of	ADP
ejpam-6479	361	7	two	two	NUM
ejpam-6479	361	8	exponential	exponential	ADJ
ejpam-6479	361	9	fuzzy	fuzzy	ADJ
ejpam-6479	361	10	subgraphs	subgraphs	NOUN
ejpam-6479	361	11	g1	g1	PROPN
ejpam-6479	361	12	and	and	CCONJ
ejpam-6479	361	13	g2	g2	PROPN
ejpam-6479	361	14	then	then	ADV
ejpam-6479	361	15	every	every	DET
ejpam-6479	361	16	exponential	exponential	ADJ
ejpam-6479	361	17	fuzzy	fuzzy	ADJ
ejpam-6479	361	18	subgraphs	subgraph	NOUN
ejpam-6479	361	19	(	(	PUNCT
ejpam-6479	361	20	ϑv	ϑv	INTJ
ejpam-6479	361	21	,	,	PUNCT
ejpam-6479	361	22	ϑe	ϑe	VERB
ejpam-6479	361	23	)	)	PUNCT
ejpam-6479	361	24	is	be	AUX
ejpam-6479	361	25	a	a	DET
ejpam-6479	361	26	union	union	NOUN
ejpam-6479	361	27	of	of	ADP
ejpam-6479	361	28	a	a	DET
ejpam-6479	361	29	exponential	exponential	ADJ
ejpam-6479	361	30	fuzzy	fuzzy	ADJ
ejpam-6479	361	31	subgraphs	subgraph	NOUN
ejpam-6479	361	32	of	of	ADP
ejpam-6479	361	33	g1	g1	NOUN
ejpam-6479	361	34	and	and	CCONJ
ejpam-6479	361	35	g2	g2	PROPN
ejpam-6479	361	36	.	.	PUNCT
ejpam-6479	362	1	proof	proof	NOUN
ejpam-6479	362	2	.	.	PUNCT
ejpam-6479	363	1	define	define	VERB
ejpam-6479	363	2	the	the	DET
ejpam-6479	363	3	exponential	exponential	ADJ
ejpam-6479	363	4	fuzzy	fuzzy	ADJ
ejpam-6479	363	5	subsets	subset	NOUN
ejpam-6479	363	6	ϑv	ϑv	ADP
ejpam-6479	363	7	1	1	NUM
ejpam-6479	363	8	,	,	PUNCT
ejpam-6479	363	9	ϑv	ϑv	ADP
ejpam-6479	363	10	2	2	NUM
ejpam-6479	363	11	,	,	PUNCT
ejpam-6479	363	12	ϑe1	ϑe1	ADJ
ejpam-6479	363	13	and	and	CCONJ
ejpam-6479	363	14	ϑe2	ϑe2	NOUN
ejpam-6479	363	15	of	of	ADP
ejpam-6479	363	16	ev	ev	PROPN
ejpam-6479	363	17	1	1	NUM
ejpam-6479	363	18	,	,	PUNCT
ejpam-6479	363	19	ev	ev	ADP
ejpam-6479	363	20	2	2	NUM
ejpam-6479	363	21	,	,	PUNCT
ejpam-6479	363	22	ee1	ee1	PROPN
ejpam-6479	363	23	and	and	CCONJ
ejpam-6479	363	24	ee2	ee2	NOUN
ejpam-6479	363	25	respectively	respectively	ADV
ejpam-6479	363	26	,	,	PUNCT
ejpam-6479	363	27	as	as	SCONJ
ejpam-6479	363	28	follows	follow	VERB
ejpam-6479	363	29	:	:	PUNCT
ejpam-6479	363	30	ϑv	ϑv	PART
ejpam-6479	363	31	i(r	i(r	PROPN
ejpam-6479	363	32	)	)	PUNCT
ejpam-6479	363	33	if	if	SCONJ
ejpam-6479	363	34	u	u	PROPN
ejpam-6479	363	35	∈	∈	PROPN
ejpam-6479	363	36	ev	ev	ADP
ejpam-6479	363	37	i	i	PRON
ejpam-6479	363	38	and	and	CCONJ
ejpam-6479	363	39	ϑei(rw	ϑei(rw	X
ejpam-6479	363	40	)	)	PUNCT
ejpam-6479	363	41	if	if	SCONJ
ejpam-6479	363	42	uv	uv	PROPN
ejpam-6479	363	43	∈	∈	PROPN
ejpam-6479	363	44	eei	eei	NOUN
ejpam-6479	363	45	,	,	PUNCT
ejpam-6479	363	46	i	i	PRON
ejpam-6479	363	47	=	=	NOUN
ejpam-6479	363	48	1	1	NUM
ejpam-6479	363	49	,	,	PUNCT
ejpam-6479	363	50	2	2	NUM
ejpam-6479	363	51	.	.	PUNCT
ejpam-6479	363	52	then	then	ADV
ejpam-6479	363	53	ϑei(riwi	ϑei(riwi	NOUN
ejpam-6479	363	54	)	)	PUNCT
ejpam-6479	363	55	≤	≤	NUM
ejpam-6479	363	56	max{ϑv	max{ϑv	NOUN
ejpam-6479	363	57	(	(	PUNCT
ejpam-6479	363	58	ri	ri	NOUN
ejpam-6479	363	59	)	)	PUNCT
ejpam-6479	363	60	,	,	PUNCT
ejpam-6479	363	61	ϑv	ϑv	PROPN
ejpam-6479	363	62	(	(	PUNCT
ejpam-6479	363	63	wi	wi	PROPN
ejpam-6479	363	64	)	)	PUNCT
ejpam-6479	363	65	}	}	PUNCT
ejpam-6479	364	1	=	=	SYM
ejpam-6479	364	2	max{ϑv	max{ϑv	NUM
ejpam-6479	364	3	i(ri	i(ri	NUM
ejpam-6479	364	4	)	)	PUNCT
ejpam-6479	364	5	,	,	PUNCT
ejpam-6479	364	6	ϑv	ϑv	ADP
ejpam-6479	364	7	i(wi	i(wi	ADV
ejpam-6479	364	8	)	)	PUNCT
ejpam-6479	364	9	}	}	PUNCT
ejpam-6479	364	10	if	if	SCONJ
ejpam-6479	364	11	uiwi	uiwi	VERB
ejpam-6479	364	12	∈	∈	PROPN
ejpam-6479	364	13	eei	eei	NOUN
ejpam-6479	364	14	,	,	PUNCT
ejpam-6479	364	15	i	i	PRON
ejpam-6479	364	16	=	=	NOUN
ejpam-6479	364	17	1	1	NUM
ejpam-6479	364	18	,	,	PUNCT
ejpam-6479	364	19	2	2	NUM
ejpam-6479	364	20	.	.	PUNCT
ejpam-6479	364	21	thus	thus	ADV
ejpam-6479	364	22	ϑv	ϑv	ADP
ejpam-6479	365	1	i	i	PRON
ejpam-6479	365	2	,	,	PUNCT
ejpam-6479	365	3	ϑei	ϑei	NOUN
ejpam-6479	365	4	is	be	AUX
ejpam-6479	365	5	a	a	DET
ejpam-6479	365	6	exponential	exponential	ADJ
ejpam-6479	365	7	fuzzy	fuzzy	ADJ
ejpam-6479	365	8	subgraph	subgraph	NOUN
ejpam-6479	365	9	of	of	ADP
ejpam-6479	365	10	gi	gi	NOUN
ejpam-6479	365	11	,	,	PUNCT
ejpam-6479	365	12	i	i	PRON
ejpam-6479	365	13	=	=	NOUN
ejpam-6479	365	14	1	1	NUM
ejpam-6479	365	15	,	,	PUNCT
ejpam-6479	365	16	2	2	NUM
ejpam-6479	365	17	.	.	PUNCT
ejpam-6479	365	18	clearly	clearly	ADV
ejpam-6479	365	19	ϑv	ϑv	VERB
ejpam-6479	365	20	=	=	PUNCT
ejpam-6479	365	21	ϑv	ϑv	ADP
ejpam-6479	365	22	1∪v	1∪v	NUM
ejpam-6479	365	23	2	2	NUM
ejpam-6479	365	24	and	and	CCONJ
ejpam-6479	365	25	ϑe	ϑe	VERB
ejpam-6479	365	26	=	=	SYM
ejpam-6479	365	27	ϑe1∪e2	ϑe1∪e2	PROPN
ejpam-6479	365	28	definition	definition	NOUN
ejpam-6479	365	29	17	17	NUM
ejpam-6479	365	30	(	(	PUNCT
ejpam-6479	365	31	join	join	NOUN
ejpam-6479	365	32	of	of	ADP
ejpam-6479	365	33	efgs	efgs	NOUN
ejpam-6479	365	34	)	)	PUNCT
ejpam-6479	365	35	.	.	PUNCT
ejpam-6479	366	1	let	let	VERB
ejpam-6479	366	2	g1	g1	PROPN
ejpam-6479	366	3	=	=	SYM
ejpam-6479	366	4	(	(	PUNCT
ejpam-6479	366	5	ev	ev	INTJ
ejpam-6479	366	6	1	1	NUM
ejpam-6479	366	7	,	,	PUNCT
ejpam-6479	366	8	ee1	ee1	PROPN
ejpam-6479	366	9	,	,	PUNCT
ejpam-6479	366	10	ϑv	ϑv	ADP
ejpam-6479	366	11	1	1	NUM
ejpam-6479	366	12	,	,	PUNCT
ejpam-6479	366	13	ϑe1	ϑe1	ADJ
ejpam-6479	366	14	)	)	PUNCT
ejpam-6479	366	15	,	,	PUNCT
ejpam-6479	366	16	g2	g2	PROPN
ejpam-6479	366	17	=	=	PRON
ejpam-6479	366	18	(	(	PUNCT
ejpam-6479	366	19	ev	ev	INTJ
ejpam-6479	366	20	2	2	NUM
ejpam-6479	366	21	,	,	PUNCT
ejpam-6479	366	22	ee2	ee2	NOUN
ejpam-6479	366	23	,	,	PUNCT
ejpam-6479	366	24	ϑv	ϑv	ADP
ejpam-6479	366	25	2	2	NUM
ejpam-6479	366	26	,	,	PUNCT
ejpam-6479	366	27	ϑe2	ϑe2	NOUN
ejpam-6479	366	28	)	)	PUNCT
ejpam-6479	366	29	be	be	VERB
ejpam-6479	366	30	two	two	NUM
ejpam-6479	366	31	exponential	exponential	ADJ
ejpam-6479	366	32	fuzzy	fuzzy	ADJ
ejpam-6479	366	33	graphs	graph	NOUN
ejpam-6479	366	34	,	,	PUNCT
ejpam-6479	366	35	where	where	SCONJ
ejpam-6479	366	36	:	:	PUNCT
ejpam-6479	366	37	for	for	ADP
ejpam-6479	366	38	each	each	DET
ejpam-6479	366	39	vertex	vertex	NOUN
ejpam-6479	366	40	w	w	NOUN
ejpam-6479	366	41	∈	∈	PROPN
ejpam-6479	366	42	ev	ev	X
ejpam-6479	366	43	i	i	PROPN
ejpam-6479	366	44	,	,	PUNCT
ejpam-6479	366	45	the	the	DET
ejpam-6479	366	46	membership	membership	NOUN
ejpam-6479	366	47	function	function	NOUN
ejpam-6479	366	48	is	be	AUX
ejpam-6479	366	49	given	give	VERB
ejpam-6479	366	50	by	by	ADP
ejpam-6479	366	51	ϑv	ϑv	ADP
ejpam-6479	366	52	i(w	i(w	NOUN
ejpam-6479	366	53	)	)	PUNCT
ejpam-6479	366	54	=	=	SYM
ejpam-6479	366	55	αv	αv	ADP
ejpam-6479	366	56	i(w	i(w	NOUN
ejpam-6479	366	57	)	)	PUNCT
ejpam-6479	366	58	·	·	PUNCT
ejpam-6479	367	1	e−λαv	e−λαv	NOUN
ejpam-6479	368	1	i	i	PRON
ejpam-6479	368	2	(	(	PUNCT
ejpam-6479	368	3	w	w	NOUN
ejpam-6479	368	4	)	)	PUNCT
ejpam-6479	368	5	,	,	PUNCT
ejpam-6479	368	6	αv	αv	ADP
ejpam-6479	368	7	i(w	i(w	NOUN
ejpam-6479	368	8	)	)	PUNCT
ejpam-6479	368	9	∈	∈	PROPN
ejpam-6479	369	1	[	[	X
ejpam-6479	369	2	0	0	NUM
ejpam-6479	369	3	,	,	PUNCT
ejpam-6479	369	4	1	1	NUM
ejpam-6479	369	5	]	]	PUNCT
ejpam-6479	369	6	,	,	PUNCT
ejpam-6479	369	7	λ	λ	X
ejpam-6479	369	8	>	>	X
ejpam-6479	369	9	0	0	NUM
ejpam-6479	369	10	.	.	PUNCT
ejpam-6479	370	1	for	for	ADP
ejpam-6479	370	2	each	each	DET
ejpam-6479	370	3	edge	edge	NOUN
ejpam-6479	370	4	(	(	PUNCT
ejpam-6479	370	5	r	r	NOUN
ejpam-6479	370	6	,	,	PUNCT
ejpam-6479	370	7	w	w	NOUN
ejpam-6479	370	8	)	)	PUNCT
ejpam-6479	370	9	∈	∈	PROPN
ejpam-6479	370	10	w.	w.	PROPN
ejpam-6479	370	11	f.	f.	PROPN
ejpam-6479	370	12	al	al	PROPN
ejpam-6479	370	13	-	-	PUNCT
ejpam-6479	370	14	omeri	omeri	PROPN
ejpam-6479	370	15	et	et	PROPN
ejpam-6479	370	16	al	al	PROPN
ejpam-6479	370	17	.	.	PUNCT
ejpam-6479	370	18	/	/	SYM
ejpam-6479	370	19	eur	eur	PROPN
ejpam-6479	370	20	.	.	PUNCT
ejpam-6479	371	1	j.	j.	PROPN
ejpam-6479	371	2	pure	pure	PROPN
ejpam-6479	371	3	appl	appl	PROPN
ejpam-6479	371	4	.	.	PROPN
ejpam-6479	371	5	math	math	PROPN
ejpam-6479	371	6	,	,	PUNCT
ejpam-6479	371	7	18	18	NUM
ejpam-6479	371	8	(	(	PUNCT
ejpam-6479	371	9	3	3	NUM
ejpam-6479	371	10	)	)	PUNCT
ejpam-6479	371	11	(	(	PUNCT
ejpam-6479	371	12	2025	2025	NUM
ejpam-6479	371	13	)	)	PUNCT
ejpam-6479	371	14	,	,	PUNCT
ejpam-6479	371	15	6479	6479	NUM
ejpam-6479	371	16	17	17	NUM
ejpam-6479	371	17	of	of	ADP
ejpam-6479	371	18	28	28	NUM
ejpam-6479	371	19	figure	figure	NOUN
ejpam-6479	371	20	9	9	NUM
ejpam-6479	371	21	:	:	PUNCT
ejpam-6479	371	22	exponential	exponential	ADJ
ejpam-6479	371	23	fuzzy	fuzzy	ADJ
ejpam-6479	371	24	graph	graph	NOUN
ejpam-6479	371	25	ev	ev	ADP
ejpam-6479	371	26	i×v	i×v	PROPN
ejpam-6479	371	27	i	i	PROPN
ejpam-6479	371	28	,	,	PUNCT
ejpam-6479	371	29	ϑei(r	ϑei(r	PROPN
ejpam-6479	371	30	,	,	PUNCT
ejpam-6479	371	31	w	w	NOUN
ejpam-6479	371	32	)	)	PUNCT
ejpam-6479	371	33	=	=	SYM
ejpam-6479	371	34	αei(r	αei(r	PROPN
ejpam-6479	371	35	,	,	PUNCT
ejpam-6479	371	36	w	w	PROPN
ejpam-6479	371	37	)	)	PUNCT
ejpam-6479	371	38	·	·	PUNCT
ejpam-6479	371	39	e−λαei	e−λαei	X
ejpam-6479	371	40	(	(	PUNCT
ejpam-6479	371	41	r	r	NOUN
ejpam-6479	371	42	,	,	PUNCT
ejpam-6479	371	43	w	w	NOUN
ejpam-6479	371	44	)	)	PUNCT
ejpam-6479	371	45	,	,	PUNCT
ejpam-6479	371	46	with	with	ADP
ejpam-6479	371	47	ϑei(r	ϑei(r	PROPN
ejpam-6479	371	48	,	,	PUNCT
ejpam-6479	371	49	w	w	NOUN
ejpam-6479	371	50	)	)	PUNCT
ejpam-6479	371	51	≤	≤	NOUN
ejpam-6479	371	52	min{ϑv	min{ϑv	ADP
ejpam-6479	371	53	i(r	i(r	PROPN
ejpam-6479	371	54	)	)	PUNCT
ejpam-6479	371	55	,	,	PUNCT
ejpam-6479	371	56	ϑv	ϑv	ADP
ejpam-6479	371	57	i(w	i(w	NOUN
ejpam-6479	371	58	)	)	PUNCT
ejpam-6479	371	59	}	}	PUNCT
ejpam-6479	371	60	,	,	PUNCT
ejpam-6479	371	61	for	for	ADP
ejpam-6479	371	62	i	i	PROPN
ejpam-6479	371	63	=	=	SYM
ejpam-6479	371	64	1	1	NUM
ejpam-6479	371	65	,	,	PUNCT
ejpam-6479	371	66	2	2	NUM
ejpam-6479	371	67	.	.	PUNCT
ejpam-6479	372	1	the	the	DET
ejpam-6479	372	2	join	join	NOUN
ejpam-6479	372	3	of	of	ADP
ejpam-6479	372	4	efg	efg	PROPN
ejpam-6479	372	5	g1	g1	PROPN
ejpam-6479	372	6	+	+	CCONJ
ejpam-6479	372	7	g2	g2	PROPN
ejpam-6479	372	8	=	=	SYM
ejpam-6479	372	9	{	{	PUNCT
ejpam-6479	372	10	(	(	PUNCT
ejpam-6479	372	11	v	v	NOUN
ejpam-6479	372	12	1	1	NUM
ejpam-6479	372	13	∪	∪	ADP
ejpam-6479	372	14	v	v	NOUN
ejpam-6479	372	15	2)(e1	2)(e1	NUM
ejpam-6479	372	16	∪	∪	ADP
ejpam-6479	372	17	e2	e2	PROPN
ejpam-6479	372	18	∪	∪	ADP
ejpam-6479	372	19	e′	e′	PROPN
ejpam-6479	372	20	)	)	PUNCT
ejpam-6479	372	21	}	}	PUNCT
ejpam-6479	372	22	where	where	SCONJ
ejpam-6479	372	23	e′	e′	PROPN
ejpam-6479	372	24	is	be	AUX
ejpam-6479	372	25	the	the	DET
ejpam-6479	372	26	set	set	NOUN
ejpam-6479	372	27	of	of	ADP
ejpam-6479	372	28	all	all	DET
ejpam-6479	372	29	edges	edge	NOUN
ejpam-6479	372	30	joining	join	VERB
ejpam-6479	372	31	the	the	DET
ejpam-6479	372	32	nodes	node	NOUN
ejpam-6479	372	33	ev	ev	ADP
ejpam-6479	372	34	1	1	NUM
ejpam-6479	372	35	,	,	PUNCT
ejpam-6479	372	36	ev	ev	ADP
ejpam-6479	372	37	2	2	NUM
ejpam-6479	372	38	.	.	PUNCT
ejpam-6479	373	1	then	then	ADV
ejpam-6479	373	2	,	,	PUNCT
ejpam-6479	373	3	ϑv	ϑv	ADP
ejpam-6479	373	4	1+v	1+v	NUM
ejpam-6479	373	5	2(w	2(w	NUM
ejpam-6479	373	6	)	)	PUNCT
ejpam-6479	374	1	=	=	NOUN
ejpam-6479	374	2	max{ϑv	max{ϑv	NUM
ejpam-6479	374	3	1(w	1(w	NUM
ejpam-6479	374	4	)	)	PUNCT
ejpam-6479	374	5	,	,	PUNCT
ejpam-6479	374	6	ϑv	ϑv	ADP
ejpam-6479	374	7	2(w)};w	2(w)};w	NUM
ejpam-6479	374	8	∈	∈	NOUN
ejpam-6479	374	9	ev	ev	ADP
ejpam-6479	374	10	1∪v	1∪v	NUM
ejpam-6479	374	11	2	2	NUM
ejpam-6479	374	12	ϑe1+e2(r	ϑe1+e2(r	NOUN
ejpam-6479	374	13	,	,	PUNCT
ejpam-6479	374	14	w	w	NOUN
ejpam-6479	374	15	)	)	PUNCT
ejpam-6479	375	1	=	=	NOUN
ejpam-6479	375	2	max{ϑe1(r	max{ϑe1(r	NOUN
ejpam-6479	375	3	,	,	PUNCT
ejpam-6479	375	4	w	w	PROPN
ejpam-6479	375	5	)	)	PUNCT
ejpam-6479	375	6	,	,	PUNCT
ejpam-6479	375	7	ϑe2(r	ϑe2(r	PROPN
ejpam-6479	375	8	,	,	PUNCT
ejpam-6479	375	9	w	w	NOUN
ejpam-6479	375	10	)	)	PUNCT
ejpam-6479	375	11	}	}	PUNCT
ejpam-6479	375	12	;	;	PUNCT
ejpam-6479	375	13	(	(	PUNCT
ejpam-6479	375	14	r	r	NOUN
ejpam-6479	375	15	,	,	PUNCT
ejpam-6479	375	16	w	w	NOUN
ejpam-6479	375	17	)	)	PUNCT
ejpam-6479	375	18	∈	∈	PROPN
ejpam-6479	375	19	ee1∪e2	ee1∪e2	PROPN
ejpam-6479	375	20	ϑe1+e2(r	ϑe1+e2(r	PROPN
ejpam-6479	375	21	,	,	PUNCT
ejpam-6479	375	22	w	w	NOUN
ejpam-6479	375	23	)	)	PUNCT
ejpam-6479	375	24	=	=	NOUN
ejpam-6479	375	25	min{ϑv	min{ϑv	X
ejpam-6479	375	26	1∪v	1∪v	NUM
ejpam-6479	375	27	2(r	2(r	NUM
ejpam-6479	375	28	)	)	PUNCT
ejpam-6479	375	29	,	,	PUNCT
ejpam-6479	375	30	ϑv	ϑv	ADP
ejpam-6479	375	31	1∪v	1∪v	NUM
ejpam-6479	375	32	2(w	2(w	NUM
ejpam-6479	375	33	)	)	PUNCT
ejpam-6479	375	34	}	}	PUNCT
ejpam-6479	375	35	;	;	PUNCT
ejpam-6479	375	36	(	(	PUNCT
ejpam-6479	375	37	r	r	NOUN
ejpam-6479	375	38	,	,	PUNCT
ejpam-6479	375	39	w	w	NOUN
ejpam-6479	375	40	)	)	PUNCT
ejpam-6479	375	41	∈	∈	PROPN
ejpam-6479	375	42	ee′	ee′	NOUN
ejpam-6479	375	43	definition	definition	NOUN
ejpam-6479	375	44	18	18	NUM
ejpam-6479	375	45	(	(	PUNCT
ejpam-6479	375	46	degree	degree	NOUN
ejpam-6479	375	47	of	of	ADP
ejpam-6479	375	48	join	join	NOUN
ejpam-6479	375	49	)	)	PUNCT
ejpam-6479	375	50	.	.	PUNCT
ejpam-6479	376	1	let	let	VERB
ejpam-6479	376	2	g1	g1	PROPN
ejpam-6479	376	3	=	=	SYM
ejpam-6479	376	4	(	(	PUNCT
ejpam-6479	376	5	ev	ev	INTJ
ejpam-6479	376	6	1	1	NUM
ejpam-6479	376	7	,	,	PUNCT
ejpam-6479	376	8	ee1	ee1	PROPN
ejpam-6479	376	9	,	,	PUNCT
ejpam-6479	376	10	ϑv	ϑv	ADP
ejpam-6479	376	11	1	1	NUM
ejpam-6479	376	12	,	,	PUNCT
ejpam-6479	376	13	ϑe1	ϑe1	ADJ
ejpam-6479	376	14	)	)	PUNCT
ejpam-6479	376	15	,	,	PUNCT
ejpam-6479	376	16	g2	g2	PROPN
ejpam-6479	376	17	=	=	PRON
ejpam-6479	376	18	(	(	PUNCT
ejpam-6479	376	19	ev	ev	INTJ
ejpam-6479	376	20	2	2	NUM
ejpam-6479	376	21	,	,	PUNCT
ejpam-6479	376	22	ee2	ee2	NOUN
ejpam-6479	376	23	,	,	PUNCT
ejpam-6479	376	24	ϑv	ϑv	ADP
ejpam-6479	376	25	2	2	NUM
ejpam-6479	376	26	,	,	PUNCT
ejpam-6479	376	27	ϑe2	ϑe2	NOUN
ejpam-6479	376	28	)	)	PUNCT
ejpam-6479	376	29	be	be	VERB
ejpam-6479	376	30	two	two	NUM
ejpam-6479	376	31	exponential	exponential	ADJ
ejpam-6479	376	32	fuzzy	fuzzy	ADJ
ejpam-6479	376	33	graphs	graph	NOUN
ejpam-6479	376	34	with	with	ADP
ejpam-6479	376	35	ϑv	ϑv	ADP
ejpam-6479	376	36	i(w	i(w	NOUN
ejpam-6479	376	37	)	)	PUNCT
ejpam-6479	376	38	=	=	SYM
ejpam-6479	376	39	αv	αv	ADP
ejpam-6479	376	40	i(w	i(w	NOUN
ejpam-6479	376	41	)	)	PUNCT
ejpam-6479	377	1	e−λαv	e−λαv	NOUN
ejpam-6479	378	1	i	i	PRON
ejpam-6479	378	2	(	(	PUNCT
ejpam-6479	378	3	w	w	NOUN
ejpam-6479	378	4	)	)	PUNCT
ejpam-6479	378	5	,	,	PUNCT
ejpam-6479	378	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	378	7	,	,	PUNCT
ejpam-6479	378	8	w	w	NOUN
ejpam-6479	378	9	)	)	PUNCT
ejpam-6479	378	10	=	=	SYM
ejpam-6479	378	11	αei(r	αei(r	PROPN
ejpam-6479	378	12	,	,	PUNCT
ejpam-6479	378	13	w	w	PROPN
ejpam-6479	378	14	)	)	PUNCT
ejpam-6479	378	15	e−λαei	e−λαei	X
ejpam-6479	378	16	(	(	PUNCT
ejpam-6479	378	17	r	r	NOUN
ejpam-6479	378	18	,	,	PUNCT
ejpam-6479	378	19	w	w	NOUN
ejpam-6479	378	20	)	)	PUNCT
ejpam-6479	378	21	,	,	PUNCT
ejpam-6479	378	22	i	i	PRON
ejpam-6479	378	23	=	=	NOUN
ejpam-6479	378	24	1	1	NUM
ejpam-6479	378	25	,	,	PUNCT
ejpam-6479	378	26	2	2	NUM
ejpam-6479	378	27	.	.	PUNCT
ejpam-6479	379	1	their	their	PRON
ejpam-6479	379	2	join	join	NOUN
ejpam-6479	379	3	is	be	AUX
ejpam-6479	379	4	g	g	NOUN
ejpam-6479	379	5	=	=	SYM
ejpam-6479	379	6	g1+g2	g1+g2	PROPN
ejpam-6479	379	7	=	=	SYM
ejpam-6479	379	8	(	(	PUNCT
ejpam-6479	379	9	ev	ev	INTJ
ejpam-6479	379	10	1+v	1+v	NUM
ejpam-6479	379	11	2	2	NUM
ejpam-6479	379	12	,	,	PUNCT
ejpam-6479	379	13	ee1+e2	ee1+e2	PROPN
ejpam-6479	379	14	,	,	PUNCT
ejpam-6479	379	15	ϑv	ϑv	INTJ
ejpam-6479	379	16	,	,	PUNCT
ejpam-6479	379	17	ϑe	ϑe	VERB
ejpam-6479	379	18	)	)	PUNCT
ejpam-6479	379	19	,	,	PUNCT
ejpam-6479	379	20	.	.	PUNCT
ejpam-6479	380	1	then	then	ADV
ejpam-6479	380	2	the	the	DET
ejpam-6479	380	3	degree	degree	NOUN
ejpam-6479	380	4	of	of	ADP
ejpam-6479	380	5	vertex	vertex	NOUN
ejpam-6479	380	6	of	of	ADP
ejpam-6479	380	7	join	join	NOUN
ejpam-6479	380	8	is	be	AUX
ejpam-6479	380	9	degg1+g2(r1	degg1+g2(r1	PROPN
ejpam-6479	380	10	,	,	PUNCT
ejpam-6479	380	11	w1	w1	NOUN
ejpam-6479	380	12	)	)	PUNCT
ejpam-6479	380	13	,	,	PUNCT
ejpam-6479	380	14	(	(	PUNCT
ejpam-6479	380	15	r2	r2	NOUN
ejpam-6479	380	16	,	,	PUNCT
ejpam-6479	380	17	w2	w2	NOUN
ejpam-6479	380	18	)	)	PUNCT
ejpam-6479	380	19	=	=	PUNCT
ejpam-6479	381	1	∑	∑	PUNCT
ejpam-6479	381	2	w∈ev	w∈ev	VERB
ejpam-6479	381	3	1∪v	1∪v	NUM
ejpam-6479	381	4	2	2	NUM
ejpam-6479	381	5	max{ϑv	max{ϑv	NUM
ejpam-6479	381	6	1(w	1(w	NUM
ejpam-6479	381	7	)	)	PUNCT
ejpam-6479	381	8	,	,	PUNCT
ejpam-6479	381	9	ϑv	ϑv	ADP
ejpam-6479	381	10	2(w)}+	2(w)}+	NUM
ejpam-6479	381	11	∑	∑	PUNCT
ejpam-6479	381	12	(	(	PUNCT
ejpam-6479	381	13	r	r	NOUN
ejpam-6479	381	14	,	,	PUNCT
ejpam-6479	381	15	w)∈ee1∪e2	w)∈ee1∪e2	ADJ
ejpam-6479	381	16	max{ϑe1(r	max{ϑe1(r	PROPN
ejpam-6479	381	17	,	,	PUNCT
ejpam-6479	381	18	w	w	PROPN
ejpam-6479	381	19	)	)	PUNCT
ejpam-6479	381	20	,	,	PUNCT
ejpam-6479	381	21	ϑe2(r	ϑe2(r	PROPN
ejpam-6479	381	22	,	,	PUNCT
ejpam-6479	381	23	w	w	NOUN
ejpam-6479	381	24	)	)	PUNCT
ejpam-6479	381	25	}	}	PUNCT
ejpam-6479	382	1	+	+	CCONJ
ejpam-6479	382	2	∑	∑	PUNCT
ejpam-6479	382	3	(	(	PUNCT
ejpam-6479	382	4	r	r	NOUN
ejpam-6479	382	5	,	,	PUNCT
ejpam-6479	382	6	w)∈ee′	w)∈ee′	NOUN
ejpam-6479	382	7	min{ϑv	min{ϑv	ADP
ejpam-6479	382	8	1(w	1(w	NUM
ejpam-6479	382	9	)	)	PUNCT
ejpam-6479	382	10	,	,	PUNCT
ejpam-6479	382	11	ϑv	ϑv	ADP
ejpam-6479	382	12	2(w	2(w	NUM
ejpam-6479	382	13	)	)	PUNCT
ejpam-6479	382	14	}	}	PUNCT
ejpam-6479	382	15	example	example	NOUN
ejpam-6479	382	16	10	10	NUM
ejpam-6479	382	17	.	.	PUNCT
ejpam-6479	383	1	let	let	VERB
ejpam-6479	383	2	ev	ev	X
ejpam-6479	383	3	1	1	NUM
ejpam-6479	383	4	=	=	SYM
ejpam-6479	383	5	{	{	PUNCT
ejpam-6479	383	6	r1	r1	PROPN
ejpam-6479	383	7	,	,	PUNCT
ejpam-6479	383	8	r2	r2	PROPN
ejpam-6479	383	9	,	,	PUNCT
ejpam-6479	383	10	r3	r3	PROPN
ejpam-6479	383	11	,	,	PUNCT
ejpam-6479	383	12	r4	r4	PROPN
ejpam-6479	383	13	}	}	PUNCT
ejpam-6479	383	14	,	,	PUNCT
ejpam-6479	383	15	ev	ev	ADP
ejpam-6479	383	16	2	2	NUM
ejpam-6479	383	17	=	=	SYM
ejpam-6479	383	18	{	{	PUNCT
ejpam-6479	383	19	r1	r1	PROPN
ejpam-6479	383	20	,	,	PUNCT
ejpam-6479	383	21	r2	r2	PROPN
ejpam-6479	383	22	,	,	PUNCT
ejpam-6479	383	23	r3	r3	PROPN
ejpam-6479	383	24	,	,	PUNCT
ejpam-6479	383	25	r4	r4	PROPN
ejpam-6479	383	26	}	}	PUNCT
ejpam-6479	383	27	,	,	PUNCT
ejpam-6479	383	28	with	with	ADP
ejpam-6479	383	29	λ	λ	PROPN
ejpam-6479	383	30	=	=	SYM
ejpam-6479	383	31	1	1	X
ejpam-6479	383	32	.	.	PUNCT
ejpam-6479	383	33	base	base	NOUN
ejpam-6479	383	34	vertexw	vertexw	PROPN
ejpam-6479	383	35	.	.	PUNCT
ejpam-6479	384	1	f.	f.	PROPN
ejpam-6479	384	2	al	al	PROPN
ejpam-6479	384	3	-	-	PUNCT
ejpam-6479	384	4	omeri	omeri	PROPN
ejpam-6479	384	5	et	et	PROPN
ejpam-6479	384	6	al	al	PROPN
ejpam-6479	384	7	.	.	PUNCT
ejpam-6479	384	8	/	/	SYM
ejpam-6479	384	9	eur	eur	PROPN
ejpam-6479	384	10	.	.	PUNCT
ejpam-6479	385	1	j.	j.	PROPN
ejpam-6479	385	2	pure	pure	PROPN
ejpam-6479	385	3	appl	appl	PROPN
ejpam-6479	385	4	.	.	PROPN
ejpam-6479	385	5	math	math	PROPN
ejpam-6479	385	6	,	,	PUNCT
ejpam-6479	385	7	18	18	NUM
ejpam-6479	385	8	(	(	PUNCT
ejpam-6479	385	9	3	3	NUM
ejpam-6479	385	10	)	)	PUNCT
ejpam-6479	385	11	(	(	PUNCT
ejpam-6479	385	12	2025	2025	NUM
ejpam-6479	385	13	)	)	PUNCT
ejpam-6479	385	14	,	,	PUNCT
ejpam-6479	385	15	6479	6479	NUM
ejpam-6479	385	16	18	18	NUM
ejpam-6479	385	17	of	of	ADP
ejpam-6479	385	18	28	28	NUM
ejpam-6479	385	19	memberships	membership	NOUN
ejpam-6479	385	20	and	and	CCONJ
ejpam-6479	385	21	base	base	NOUN
ejpam-6479	385	22	edge	edge	NOUN
ejpam-6479	385	23	-	-	PUNCT
ejpam-6479	385	24	membership	membership	NOUN
ejpam-6479	385	25	,	,	PUNCT
ejpam-6479	385	26	αv	αv	NOUN
ejpam-6479	385	27	1(r1	1(r1	NUM
ejpam-6479	385	28	)	)	PUNCT
ejpam-6479	385	29	=	=	SYM
ejpam-6479	385	30	0.3	0.3	NUM
ejpam-6479	385	31	,	,	PUNCT
ejpam-6479	385	32	αv	αv	NOUN
ejpam-6479	385	33	1(r2	1(r2	NUM
ejpam-6479	385	34	)	)	PUNCT
ejpam-6479	385	35	=	=	SYM
ejpam-6479	385	36	0.7	0.7	NUM
ejpam-6479	385	37	,	,	PUNCT
ejpam-6479	385	38	αv	αv	NOUN
ejpam-6479	385	39	1(r3	1(r3	NUM
ejpam-6479	385	40	)	)	PUNCT
ejpam-6479	385	41	=	=	SYM
ejpam-6479	385	42	0.9	0.9	NUM
ejpam-6479	385	43	,	,	PUNCT
ejpam-6479	385	44	αv	αv	NOUN
ejpam-6479	385	45	1(r4	1(r4	NUM
ejpam-6479	385	46	)	)	PUNCT
ejpam-6479	385	47	=	=	NOUN
ejpam-6479	386	1	0.8	0.8	NUM
ejpam-6479	386	2	αv	αv	NUM
ejpam-6479	386	3	2(r1	2(r1	NUM
ejpam-6479	386	4	)	)	PUNCT
ejpam-6479	386	5	=	=	SYM
ejpam-6479	386	6	0.9	0.9	NUM
ejpam-6479	386	7	,	,	PUNCT
ejpam-6479	386	8	αv	αv	NOUN
ejpam-6479	386	9	2(r2	2(r2	NOUN
ejpam-6479	386	10	)	)	PUNCT
ejpam-6479	386	11	=	=	SYM
ejpam-6479	386	12	0.6	0.6	NUM
ejpam-6479	386	13	,	,	PUNCT
ejpam-6479	386	14	αv	αv	ADP
ejpam-6479	386	15	2(r3	2(r3	NUM
ejpam-6479	386	16	)	)	PUNCT
ejpam-6479	387	1	=	=	SYM
ejpam-6479	387	2	0.4	0.4	NUM
ejpam-6479	387	3	,	,	PUNCT
ejpam-6479	387	4	αv	αv	ADP
ejpam-6479	387	5	2(r4	2(r4	NUM
ejpam-6479	387	6	)	)	PUNCT
ejpam-6479	387	7	=	=	NOUN
ejpam-6479	387	8	0.7	0.7	NUM
ejpam-6479	387	9	αe1(r1	αe1(r1	NOUN
ejpam-6479	387	10	,	,	PUNCT
ejpam-6479	387	11	r2	r2	PROPN
ejpam-6479	387	12	)	)	PUNCT
ejpam-6479	387	13	=	=	SYM
ejpam-6479	387	14	0.3	0.3	NUM
ejpam-6479	387	15	,	,	PUNCT
ejpam-6479	387	16	αe1(r1	αe1(r1	NUM
ejpam-6479	387	17	,	,	PUNCT
ejpam-6479	387	18	r4	r4	NOUN
ejpam-6479	387	19	)	)	PUNCT
ejpam-6479	387	20	=	=	SYM
ejpam-6479	387	21	0.3	0.3	NUM
ejpam-6479	387	22	,	,	PUNCT
ejpam-6479	387	23	αe1(r3	αe1(r3	NUM
ejpam-6479	387	24	,	,	PUNCT
ejpam-6479	387	25	r4	r4	NOUN
ejpam-6479	387	26	)	)	PUNCT
ejpam-6479	387	27	=	=	SYM
ejpam-6479	387	28	0.8	0.8	NUM
ejpam-6479	387	29	,	,	PUNCT
ejpam-6479	387	30	αe1(r2	αe1(r2	NUM
ejpam-6479	387	31	,	,	PUNCT
ejpam-6479	387	32	r4	r4	NOUN
ejpam-6479	387	33	)	)	PUNCT
ejpam-6479	387	34	=	=	NOUN
ejpam-6479	387	35	0.7	0.7	NUM
ejpam-6479	387	36	αe2(r1	αe2(r1	NOUN
ejpam-6479	387	37	,	,	PUNCT
ejpam-6479	387	38	r2	r2	PROPN
ejpam-6479	387	39	)	)	PUNCT
ejpam-6479	387	40	=	=	SYM
ejpam-6479	387	41	0.6	0.6	NUM
ejpam-6479	387	42	,	,	PUNCT
ejpam-6479	387	43	αe2(r2	αe2(r2	NOUN
ejpam-6479	387	44	,	,	PUNCT
ejpam-6479	387	45	r3	r3	PROPN
ejpam-6479	387	46	)	)	PUNCT
ejpam-6479	387	47	=	=	SYM
ejpam-6479	387	48	0.4	0.4	NUM
ejpam-6479	387	49	,	,	PUNCT
ejpam-6479	387	50	αe2(r3	αe2(r3	NUM
ejpam-6479	387	51	,	,	PUNCT
ejpam-6479	387	52	r4	r4	NOUN
ejpam-6479	387	53	)	)	PUNCT
ejpam-6479	387	54	=	=	SYM
ejpam-6479	387	55	0.4	0.4	NUM
ejpam-6479	387	56	compute	compute	NOUN
ejpam-6479	387	57	ϑv	ϑv	ADP
ejpam-6479	387	58	1(r1	1(r1	NUM
ejpam-6479	387	59	)	)	PUNCT
ejpam-6479	387	60	=	=	SYM
ejpam-6479	388	1	0.2222	0.2222	NUM
ejpam-6479	388	2	,	,	PUNCT
ejpam-6479	388	3	ϑv	ϑv	ADP
ejpam-6479	388	4	1(r2	1(r2	NUM
ejpam-6479	388	5	)	)	PUNCT
ejpam-6479	388	6	=	=	SYM
ejpam-6479	388	7	0.3476	0.3476	NUM
ejpam-6479	388	8	,	,	PUNCT
ejpam-6479	388	9	ϑv	ϑv	ADP
ejpam-6479	388	10	1(r3	1(r3	NUM
ejpam-6479	388	11	)	)	PUNCT
ejpam-6479	388	12	=	=	PUNCT
ejpam-6479	389	1	0.3659	0.3659	NUM
ejpam-6479	389	2	,	,	PUNCT
ejpam-6479	389	3	ϑv	ϑv	ADP
ejpam-6479	389	4	1(r4	1(r4	NUM
ejpam-6479	389	5	)	)	PUNCT
ejpam-6479	390	1	=	=	NOUN
ejpam-6479	390	2	0.3594	0.3594	NUM
ejpam-6479	390	3	ϑv	ϑv	ADP
ejpam-6479	390	4	2(r1	2(r1	NUM
ejpam-6479	390	5	)	)	PUNCT
ejpam-6479	390	6	=	=	PUNCT
ejpam-6479	391	1	0.3659	0.3659	NUM
ejpam-6479	391	2	,	,	PUNCT
ejpam-6479	391	3	ϑv	ϑv	ADP
ejpam-6479	391	4	2(r2	2(r2	NUM
ejpam-6479	391	5	)	)	PUNCT
ejpam-6479	391	6	=	=	SYM
ejpam-6479	391	7	0.3292	0.3292	NUM
ejpam-6479	391	8	,	,	PUNCT
ejpam-6479	391	9	ϑv	ϑv	ADP
ejpam-6479	391	10	2(r3	2(r3	NUM
ejpam-6479	391	11	)	)	PUNCT
ejpam-6479	391	12	=	=	SYM
ejpam-6479	392	1	0.2681	0.2681	NUM
ejpam-6479	392	2	,	,	PUNCT
ejpam-6479	392	3	ϑv	ϑv	ADP
ejpam-6479	392	4	2(r4	2(r4	NUM
ejpam-6479	392	5	)	)	PUNCT
ejpam-6479	392	6	=	=	PUNCT
ejpam-6479	392	7	0.3476	0.3476	NUM
ejpam-6479	392	8	ϑe1(r1	ϑe1(r1	NOUN
ejpam-6479	392	9	,	,	PUNCT
ejpam-6479	392	10	r2	r2	PROPN
ejpam-6479	392	11	)	)	PUNCT
ejpam-6479	392	12	=	=	SYM
ejpam-6479	392	13	0.2222	0.2222	NUM
ejpam-6479	392	14	,	,	PUNCT
ejpam-6479	392	15	ϑe1(r1	ϑe1(r1	PROPN
ejpam-6479	392	16	,	,	PUNCT
ejpam-6479	392	17	r4	r4	NOUN
ejpam-6479	392	18	)	)	PUNCT
ejpam-6479	392	19	=	=	SYM
ejpam-6479	392	20	0.2222	0.2222	NUM
ejpam-6479	392	21	,	,	PUNCT
ejpam-6479	392	22	ϑe1(r3	ϑe1(r3	NUM
ejpam-6479	392	23	,	,	PUNCT
ejpam-6479	392	24	r4	r4	NOUN
ejpam-6479	392	25	)	)	PUNCT
ejpam-6479	393	1	=	=	SYM
ejpam-6479	393	2	0.3594	0.3594	NUM
ejpam-6479	393	3	,	,	PUNCT
ejpam-6479	393	4	ϑe1(r2	ϑe1(r2	NOUN
ejpam-6479	393	5	,	,	PUNCT
ejpam-6479	393	6	r4	r4	NOUN
ejpam-6479	393	7	)	)	PUNCT
ejpam-6479	393	8	=	=	SYM
ejpam-6479	393	9	0.3476	0.3476	NUM
ejpam-6479	393	10	ϑe2(r1	ϑe2(r1	NOUN
ejpam-6479	393	11	,	,	PUNCT
ejpam-6479	393	12	r2	r2	NOUN
ejpam-6479	393	13	)	)	PUNCT
ejpam-6479	393	14	=	=	SYM
ejpam-6479	394	1	0.3292	0.3292	NUM
ejpam-6479	394	2	,	,	PUNCT
ejpam-6479	394	3	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	394	4	,	,	PUNCT
ejpam-6479	394	5	r3	r3	NOUN
ejpam-6479	394	6	)	)	PUNCT
ejpam-6479	394	7	=	=	SYM
ejpam-6479	395	1	0.2681	0.2681	NUM
ejpam-6479	395	2	,	,	PUNCT
ejpam-6479	395	3	ϑe2(r3	ϑe2(r3	NOUN
ejpam-6479	395	4	,	,	PUNCT
ejpam-6479	395	5	r4	r4	NOUN
ejpam-6479	395	6	)	)	PUNCT
ejpam-6479	395	7	=	=	PUNCT
ejpam-6479	396	1	0.2681	0.2681	NUM
ejpam-6479	396	2	then	then	ADV
ejpam-6479	396	3	the	the	DET
ejpam-6479	396	4	union	union	NOUN
ejpam-6479	396	5	of	of	ADP
ejpam-6479	396	6	efg	efg	PROPN
ejpam-6479	396	7	is	be	AUX
ejpam-6479	396	8	ϑv	ϑv	ADP
ejpam-6479	396	9	1+v	1+v	NUM
ejpam-6479	396	10	2(r1	2(r1	NUM
ejpam-6479	396	11	)	)	PUNCT
ejpam-6479	396	12	=	=	SYM
ejpam-6479	397	1	0.3659	0.3659	NUM
ejpam-6479	397	2	,	,	PUNCT
ejpam-6479	397	3	ϑv	ϑv	ADP
ejpam-6479	397	4	1+v	1+v	NUM
ejpam-6479	397	5	2(r2	2(r2	NUM
ejpam-6479	397	6	)	)	PUNCT
ejpam-6479	397	7	=	=	SYM
ejpam-6479	397	8	0.3476	0.3476	NUM
ejpam-6479	397	9	ϑv	ϑv	NOUN
ejpam-6479	397	10	1+v	1+v	NUM
ejpam-6479	397	11	2(r3	2(r3	NUM
ejpam-6479	397	12	)	)	PUNCT
ejpam-6479	397	13	=	=	SYM
ejpam-6479	397	14	0.3659	0.3659	NUM
ejpam-6479	397	15	,	,	PUNCT
ejpam-6479	397	16	ϑv	ϑv	ADP
ejpam-6479	397	17	1+v	1+v	NUM
ejpam-6479	397	18	2(r4	2(r4	NUM
ejpam-6479	397	19	)	)	PUNCT
ejpam-6479	397	20	=	=	NOUN
ejpam-6479	397	21	0.3594	0.3594	NUM
ejpam-6479	397	22	ϑe1+e2(r1	ϑe1+e2(r1	NOUN
ejpam-6479	397	23	,	,	PUNCT
ejpam-6479	397	24	r2	r2	PROPN
ejpam-6479	397	25	)	)	PUNCT
ejpam-6479	398	1	=	=	SYM
ejpam-6479	398	2	0.3292	0.3292	NUM
ejpam-6479	398	3	,	,	PUNCT
ejpam-6479	398	4	ϑe1+e2(r2	ϑe1+e2(r2	PROPN
ejpam-6479	398	5	,	,	PUNCT
ejpam-6479	398	6	r3	r3	PROPN
ejpam-6479	398	7	)	)	PUNCT
ejpam-6479	398	8	=	=	PUNCT
ejpam-6479	399	1	0.2681	0.2681	NUM
ejpam-6479	399	2	ϑe1+e2(r3	ϑe1+e2(r3	NOUN
ejpam-6479	399	3	,	,	PUNCT
ejpam-6479	399	4	r4	r4	NOUN
ejpam-6479	399	5	)	)	PUNCT
ejpam-6479	399	6	=	=	NOUN
ejpam-6479	399	7	0.3594	0.3594	NUM
ejpam-6479	399	8	,	,	PUNCT
ejpam-6479	399	9	ϑe1+e2(r4	ϑe1+e2(r4	PROPN
ejpam-6479	399	10	,	,	PUNCT
ejpam-6479	399	11	r1	r1	PROPN
ejpam-6479	399	12	)	)	PUNCT
ejpam-6479	399	13	=	=	SYM
ejpam-6479	399	14	0.2222	0.2222	NUM
ejpam-6479	399	15	ϑe1+e2(r1	ϑe1+e2(r1	PROPN
ejpam-6479	399	16	,	,	PUNCT
ejpam-6479	399	17	r3	r3	PROPN
ejpam-6479	399	18	)	)	PUNCT
ejpam-6479	399	19	=	=	SYM
ejpam-6479	399	20	0.3659	0.3659	NUM
ejpam-6479	399	21	,	,	PUNCT
ejpam-6479	399	22	ϑe1+e2(r2	ϑe1+e2(r2	NOUN
ejpam-6479	399	23	,	,	PUNCT
ejpam-6479	399	24	r4	r4	NOUN
ejpam-6479	399	25	)	)	PUNCT
ejpam-6479	399	26	=	=	SYM
ejpam-6479	399	27	0.3476	0.3476	NUM
ejpam-6479	399	28	theorem	theorem	NOUN
ejpam-6479	399	29	4	4	NUM
ejpam-6479	399	30	.	.	PUNCT
ejpam-6479	400	1	if	if	SCONJ
ejpam-6479	400	2	g	g	PROPN
ejpam-6479	400	3	is	be	AUX
ejpam-6479	400	4	the	the	DET
ejpam-6479	400	5	join	join	NOUN
ejpam-6479	400	6	of	of	ADP
ejpam-6479	400	7	two	two	NUM
ejpam-6479	400	8	exponential	exponential	ADJ
ejpam-6479	400	9	fuzzy	fuzzy	ADJ
ejpam-6479	400	10	subgraphs	subgraphs	NOUN
ejpam-6479	400	11	g1	g1	PROPN
ejpam-6479	400	12	and	and	CCONJ
ejpam-6479	400	13	g2	g2	PROPN
ejpam-6479	400	14	then	then	ADV
ejpam-6479	400	15	every	every	DET
ejpam-6479	400	16	strong	strong	ADJ
ejpam-6479	400	17	exponential	exponential	ADJ
ejpam-6479	400	18	fuzzy	fuzzy	ADJ
ejpam-6479	400	19	subgraph	subgraph	NOUN
ejpam-6479	400	20	(	(	PUNCT
ejpam-6479	400	21	ϑv	ϑv	INTJ
ejpam-6479	400	22	,	,	PUNCT
ejpam-6479	400	23	ϑe	ϑe	VERB
ejpam-6479	400	24	)	)	PUNCT
ejpam-6479	400	25	of	of	ADP
ejpam-6479	400	26	g	g	PROPN
ejpam-6479	400	27	is	be	AUX
ejpam-6479	400	28	a	a	DET
ejpam-6479	400	29	join	join	NOUN
ejpam-6479	400	30	of	of	ADP
ejpam-6479	400	31	a	a	DET
ejpam-6479	400	32	strong	strong	ADJ
ejpam-6479	400	33	exponential	exponential	ADJ
ejpam-6479	400	34	fuzzy	fuzzy	ADJ
ejpam-6479	400	35	subgraph	subgraph	NOUN
ejpam-6479	400	36	of	of	ADP
ejpam-6479	400	37	g1	g1	PROPN
ejpam-6479	400	38	and	and	CCONJ
ejpam-6479	400	39	g2	g2	PROPN
ejpam-6479	400	40	.	.	PUNCT
ejpam-6479	401	1	proof	proof	NOUN
ejpam-6479	401	2	.	.	PUNCT
ejpam-6479	402	1	let	let	VERB
ejpam-6479	402	2	g	g	PROPN
ejpam-6479	402	3	is	be	AUX
ejpam-6479	402	4	the	the	DET
ejpam-6479	402	5	join	join	NOUN
ejpam-6479	402	6	of	of	ADP
ejpam-6479	402	7	two	two	NUM
ejpam-6479	402	8	exponential	exponential	ADJ
ejpam-6479	402	9	fuzzy	fuzzy	ADJ
ejpam-6479	402	10	subgraphs	subgraphs	NOUN
ejpam-6479	402	11	g1	g1	PROPN
ejpam-6479	402	12	and	and	CCONJ
ejpam-6479	402	13	g2	g2	PROPN
ejpam-6479	402	14	.	.	PUNCT
ejpam-6479	403	1	define	define	VERB
ejpam-6479	403	2	the	the	DET
ejpam-6479	403	3	exponential	exponential	ADJ
ejpam-6479	403	4	fuzzy	fuzzy	ADJ
ejpam-6479	403	5	subsets	subset	NOUN
ejpam-6479	403	6	ϑv	ϑv	ADP
ejpam-6479	403	7	1	1	NUM
ejpam-6479	403	8	,	,	PUNCT
ejpam-6479	403	9	ϑv	ϑv	ADP
ejpam-6479	403	10	2	2	NUM
ejpam-6479	403	11	,	,	PUNCT
ejpam-6479	403	12	ϑe1	ϑe1	ADJ
ejpam-6479	403	13	and	and	CCONJ
ejpam-6479	403	14	ϑe2	ϑe2	NOUN
ejpam-6479	403	15	of	of	ADP
ejpam-6479	403	16	ev	ev	PROPN
ejpam-6479	403	17	1	1	NUM
ejpam-6479	403	18	,	,	PUNCT
ejpam-6479	403	19	ev	ev	ADP
ejpam-6479	403	20	2	2	NUM
ejpam-6479	403	21	,	,	PUNCT
ejpam-6479	403	22	ee1	ee1	PROPN
ejpam-6479	403	23	and	and	CCONJ
ejpam-6479	403	24	ee2	ee2	NOUN
ejpam-6479	403	25	respectively	respectively	ADV
ejpam-6479	403	26	,	,	PUNCT
ejpam-6479	403	27	as	as	SCONJ
ejpam-6479	403	28	follows	follow	VERB
ejpam-6479	403	29	:	:	PUNCT
ejpam-6479	403	30	ϑv	ϑv	PART
ejpam-6479	403	31	i(r	i(r	PROPN
ejpam-6479	403	32	)	)	PUNCT
ejpam-6479	403	33	=	=	SYM
ejpam-6479	403	34	ϑv	ϑv	NOUN
ejpam-6479	403	35	(	(	PUNCT
ejpam-6479	403	36	r	r	NOUN
ejpam-6479	403	37	)	)	PUNCT
ejpam-6479	403	38	,	,	PUNCT
ejpam-6479	403	39	r	r	NOUN
ejpam-6479	403	40	∈	∈	PROPN
ejpam-6479	403	41	ev	ev	ADP
ejpam-6479	403	42	i	i	PRON
ejpam-6479	403	43	and	and	CCONJ
ejpam-6479	403	44	ϑei(rw	ϑei(rw	X
ejpam-6479	403	45	)	)	PUNCT
ejpam-6479	403	46	=	=	SYM
ejpam-6479	403	47	ϑe(rw	ϑe(rw	PROPN
ejpam-6479	403	48	)	)	PUNCT
ejpam-6479	403	49	,	,	PUNCT
ejpam-6479	403	50	rw	rw	PROPN
ejpam-6479	403	51	∈	∈	PROPN
ejpam-6479	403	52	eei	eei	PROPN
ejpam-6479	403	53	,	,	PUNCT
ejpam-6479	403	54	i	i	PRON
ejpam-6479	403	55	=	=	NOUN
ejpam-6479	403	56	1	1	NUM
ejpam-6479	403	57	,	,	PUNCT
ejpam-6479	403	58	2	2	NUM
ejpam-6479	403	59	.	.	PUNCT
ejpam-6479	404	1	then	then	ADV
ejpam-6479	404	2	(	(	PUNCT
ejpam-6479	404	3	ϑv	ϑv	ADP
ejpam-6479	404	4	i	i	PRON
ejpam-6479	404	5	,	,	PUNCT
ejpam-6479	404	6	ϑei	ϑei	NOUN
ejpam-6479	404	7	)	)	PUNCT
ejpam-6479	404	8	is	be	AUX
ejpam-6479	404	9	a	a	DET
ejpam-6479	404	10	exponential	exponential	ADJ
ejpam-6479	404	11	fuzzy	fuzzy	ADJ
ejpam-6479	404	12	subgraph	subgraph	NOUN
ejpam-6479	404	13	of	of	ADP
ejpam-6479	404	14	gi	gi	NOUN
ejpam-6479	404	15	,	,	PUNCT
ejpam-6479	404	16	i	i	PRON
ejpam-6479	404	17	=	=	NOUN
ejpam-6479	404	18	1	1	NUM
ejpam-6479	404	19	,	,	PUNCT
ejpam-6479	404	20	2	2	NUM
ejpam-6479	404	21	and	and	CCONJ
ejpam-6479	404	22	by	by	ADP
ejpam-6479	404	23	the	the	DET
ejpam-6479	404	24	proof	proof	NOUN
ejpam-6479	404	25	of	of	ADP
ejpam-6479	404	26	theorem	theorem	NOUN
ejpam-6479	404	27	3	3	NUM
ejpam-6479	404	28	we	we	PRON
ejpam-6479	404	29	have	have	VERB
ejpam-6479	404	30	ϑv	ϑv	NOUN
ejpam-6479	404	31	=	=	VERB
ejpam-6479	404	32	ϑv	ϑv	NOUN
ejpam-6479	404	33	1+v	1+v	NUM
ejpam-6479	404	34	2	2	NUM
ejpam-6479	404	35	.	.	PUNCT
ejpam-6479	405	1	if	if	SCONJ
ejpam-6479	405	2	uv	uv	NOUN
ejpam-6479	405	3	∈	∈	PROPN
ejpam-6479	405	4	ee1∪e2	ee1∪e2	PROPN
ejpam-6479	405	5	,	,	PUNCT
ejpam-6479	405	6	then	then	ADV
ejpam-6479	405	7	ϑe(rw	ϑe(rw	PROPN
ejpam-6479	405	8	)	)	PUNCT
ejpam-6479	405	9	=	=	SYM
ejpam-6479	405	10	ϑe1+e2(rw	ϑe1+e2(rw	NOUN
ejpam-6479	405	11	)	)	PUNCT
ejpam-6479	405	12	as	as	ADP
ejpam-6479	405	13	in	in	ADP
ejpam-6479	405	14	the	the	DET
ejpam-6479	405	15	proof	proof	NOUN
ejpam-6479	405	16	of	of	ADP
ejpam-6479	405	17	theorem	theorem	NOUN
ejpam-6479	405	18	3	3	X
ejpam-6479	405	19	.	.	PUNCT
ejpam-6479	405	20	suppose	suppose	VERB
ejpam-6479	405	21	that	that	SCONJ
ejpam-6479	405	22	uv	uv	PROPN
ejpam-6479	405	23	∈	∈	PROPN
ejpam-6479	405	24	ee′	ee′	NOUN
ejpam-6479	405	25	,	,	PUNCT
ejpam-6479	405	26	where	where	SCONJ
ejpam-6479	405	27	u	u	PROPN
ejpam-6479	405	28	∈	∈	PROPN
ejpam-6479	405	29	ev	ev	X
ejpam-6479	405	30	1	1	NUM
ejpam-6479	405	31	and	and	CCONJ
ejpam-6479	405	32	u	u	NOUN
ejpam-6479	405	33	∈	∈	PROPN
ejpam-6479	405	34	ev	ev	ADP
ejpam-6479	405	35	2	2	NUM
ejpam-6479	405	36	.	.	PUNCT
ejpam-6479	406	1	then	then	ADV
ejpam-6479	406	2	ϑe1+e2(rw	ϑe1+e2(rw	NUM
ejpam-6479	406	3	)	)	PUNCT
ejpam-6479	407	1	=	=	PUNCT
ejpam-6479	408	1	min{ϑ(v	min{ϑ(v	PROPN
ejpam-6479	408	2	1)(r	1)(r	NUM
ejpam-6479	408	3	)	)	PUNCT
ejpam-6479	408	4	,	,	PUNCT
ejpam-6479	408	5	ϑ(v	ϑ(v	PROPN
ejpam-6479	408	6	2)(w	2)(w	NUM
ejpam-6479	408	7	)	)	PUNCT
ejpam-6479	408	8	}	}	PUNCT
ejpam-6479	408	9	=	=	SYM
ejpam-6479	408	10	min{ϑv	min{ϑv	X
ejpam-6479	408	11	(	(	PUNCT
ejpam-6479	408	12	r	r	NOUN
ejpam-6479	408	13	)	)	PUNCT
ejpam-6479	408	14	,	,	PUNCT
ejpam-6479	408	15	ϑv	ϑv	ADP
ejpam-6479	408	16	(	(	PUNCT
ejpam-6479	408	17	w	w	NOUN
ejpam-6479	408	18	)	)	PUNCT
ejpam-6479	408	19	}	}	PUNCT
ejpam-6479	408	20	=	=	SYM
ejpam-6479	408	21	ϑe(rw	ϑe(rw	PROPN
ejpam-6479	408	22	)	)	PUNCT
ejpam-6479	408	23	,	,	PUNCT
ejpam-6479	408	24	where	where	SCONJ
ejpam-6479	408	25	the	the	DET
ejpam-6479	408	26	latter	latter	ADJ
ejpam-6479	408	27	equality	equality	NOUN
ejpam-6479	408	28	holds	hold	VERB
ejpam-6479	408	29	because	because	SCONJ
ejpam-6479	408	30	(	(	PUNCT
ejpam-6479	408	31	ϑv	ϑv	INTJ
ejpam-6479	408	32	,	,	PUNCT
ejpam-6479	408	33	ϑe	ϑe	VERB
ejpam-6479	408	34	)	)	PUNCT
ejpam-6479	408	35	is	be	AUX
ejpam-6479	408	36	strong	strong	ADJ
ejpam-6479	408	37	.	.	PUNCT
ejpam-6479	409	1	hence	hence	ADV
ejpam-6479	409	2	,	,	PUNCT
ejpam-6479	409	3	every	every	DET
ejpam-6479	409	4	strong	strong	ADJ
ejpam-6479	409	5	exponential	exponential	ADJ
ejpam-6479	409	6	fuzzy	fuzzy	ADJ
ejpam-6479	409	7	subgraph	subgraph	NOUN
ejpam-6479	409	8	(	(	PUNCT
ejpam-6479	409	9	ϑv	ϑv	INTJ
ejpam-6479	409	10	,	,	PUNCT
ejpam-6479	409	11	ϑe	ϑe	VERB
ejpam-6479	409	12	)	)	PUNCT
ejpam-6479	409	13	of	of	ADP
ejpam-6479	409	14	g	g	PROPN
ejpam-6479	409	15	is	be	AUX
ejpam-6479	409	16	a	a	DET
ejpam-6479	409	17	join	join	NOUN
ejpam-6479	409	18	of	of	ADP
ejpam-6479	409	19	a	a	DET
ejpam-6479	409	20	strong	strong	ADJ
ejpam-6479	409	21	exponential	exponential	ADJ
ejpam-6479	409	22	fuzzy	fuzzy	ADJ
ejpam-6479	409	23	subgraph	subgraph	NOUN
ejpam-6479	409	24	of	of	ADP
ejpam-6479	409	25	g1andg2	g1andg2	PROPN
ejpam-6479	409	26	.	.	PUNCT
ejpam-6479	410	1	w.	w.	PROPN
ejpam-6479	410	2	f.	f.	PROPN
ejpam-6479	410	3	al	al	PROPN
ejpam-6479	410	4	-	-	PUNCT
ejpam-6479	410	5	omeri	omeri	PROPN
ejpam-6479	410	6	et	et	PROPN
ejpam-6479	410	7	al	al	PROPN
ejpam-6479	410	8	.	.	PUNCT
ejpam-6479	410	9	/	/	SYM
ejpam-6479	410	10	eur	eur	PROPN
ejpam-6479	410	11	.	.	PUNCT
ejpam-6479	411	1	j.	j.	PROPN
ejpam-6479	411	2	pure	pure	PROPN
ejpam-6479	411	3	appl	appl	PROPN
ejpam-6479	411	4	.	.	PROPN
ejpam-6479	411	5	math	math	PROPN
ejpam-6479	411	6	,	,	PUNCT
ejpam-6479	411	7	18	18	NUM
ejpam-6479	411	8	(	(	PUNCT
ejpam-6479	411	9	3	3	NUM
ejpam-6479	411	10	)	)	PUNCT
ejpam-6479	411	11	(	(	PUNCT
ejpam-6479	411	12	2025	2025	NUM
ejpam-6479	411	13	)	)	PUNCT
ejpam-6479	411	14	,	,	PUNCT
ejpam-6479	411	15	6479	6479	NUM
ejpam-6479	411	16	19	19	NUM
ejpam-6479	411	17	of	of	ADP
ejpam-6479	411	18	28	28	NUM
ejpam-6479	411	19	figure	figure	NOUN
ejpam-6479	411	20	10	10	NUM
ejpam-6479	411	21	:	:	PUNCT
ejpam-6479	411	22	exponential	exponential	ADJ
ejpam-6479	411	23	fuzzy	fuzzy	ADJ
ejpam-6479	411	24	graph	graph	NOUN
ejpam-6479	411	25	theorem	theorem	ADJ
ejpam-6479	411	26	5	5	NUM
ejpam-6479	411	27	.	.	PUNCT
ejpam-6479	412	1	let	let	VERB
ejpam-6479	412	2	g1	g1	PROPN
ejpam-6479	412	3	=	=	SYM
ejpam-6479	412	4	(	(	PUNCT
ejpam-6479	412	5	ev	ev	INTJ
ejpam-6479	412	6	1	1	NUM
ejpam-6479	412	7	,	,	PUNCT
ejpam-6479	412	8	ee1	ee1	PROPN
ejpam-6479	412	9	)	)	PUNCT
ejpam-6479	412	10	and	and	CCONJ
ejpam-6479	412	11	g2	g2	PROPN
ejpam-6479	412	12	=	=	PRON
ejpam-6479	412	13	(	(	PUNCT
ejpam-6479	412	14	ev	ev	INTJ
ejpam-6479	412	15	2	2	NUM
ejpam-6479	412	16	,	,	PUNCT
ejpam-6479	412	17	ee2	ee2	PROPN
ejpam-6479	412	18	)	)	PUNCT
ejpam-6479	412	19	be	be	AUX
ejpam-6479	412	20	exponential	exponential	ADJ
ejpam-6479	412	21	fuzzy	fuzzy	ADJ
ejpam-6479	412	22	graphs	graph	NOUN
ejpam-6479	412	23	.	.	PUNCT
ejpam-6479	413	1	suppose	suppose	VERB
ejpam-6479	413	2	that	that	SCONJ
ejpam-6479	413	3	ev	ev	ADP
ejpam-6479	413	4	1∩v	1∩v	NUM
ejpam-6479	413	5	2	2	NUM
ejpam-6479	413	6	=	=	SYM
ejpam-6479	413	7	ϕ.	ϕ.	NOUN
ejpam-6479	413	8	let	let	VERB
ejpam-6479	413	9	ϑv	ϑv	ADP
ejpam-6479	413	10	1	1	NUM
ejpam-6479	413	11	,	,	PUNCT
ejpam-6479	413	12	ϑv	ϑv	ADP
ejpam-6479	413	13	2	2	NUM
ejpam-6479	413	14	,	,	PUNCT
ejpam-6479	413	15	ϑe1	ϑe1	ADJ
ejpam-6479	413	16	and	and	CCONJ
ejpam-6479	413	17	ϑe2	ϑe2	NOUN
ejpam-6479	413	18	be	be	AUX
ejpam-6479	413	19	exponential	exponential	ADJ
ejpam-6479	413	20	fuzzy	fuzzy	ADJ
ejpam-6479	413	21	subsets	subset	NOUN
ejpam-6479	413	22	of	of	ADP
ejpam-6479	413	23	ev	ev	INTJ
ejpam-6479	413	24	1	1	NUM
ejpam-6479	413	25	,	,	PUNCT
ejpam-6479	413	26	ev	ev	ADP
ejpam-6479	413	27	2	2	NUM
ejpam-6479	413	28	,	,	PUNCT
ejpam-6479	413	29	ee1	ee1	PROPN
ejpam-6479	413	30	and	and	CCONJ
ejpam-6479	413	31	ee2	ee2	NOUN
ejpam-6479	413	32	respectively	respectively	ADV
ejpam-6479	413	33	.	.	PUNCT
ejpam-6479	414	1	then	then	ADV
ejpam-6479	414	2	(	(	PUNCT
ejpam-6479	414	3	ϑv	ϑv	ADP
ejpam-6479	414	4	1∪v	1∪v	NUM
ejpam-6479	414	5	2	2	NUM
ejpam-6479	414	6	,	,	PUNCT
ejpam-6479	414	7	ϑe1∪e2	ϑe1∪e2	PROPN
ejpam-6479	414	8	)	)	PUNCT
ejpam-6479	414	9	is	be	AUX
ejpam-6479	414	10	a	a	DET
ejpam-6479	414	11	exponential	exponential	ADJ
ejpam-6479	414	12	fuzzy	fuzzy	ADJ
ejpam-6479	414	13	subgraph	subgraph	NOUN
ejpam-6479	414	14	of	of	ADP
ejpam-6479	414	15	g1	g1	PROPN
ejpam-6479	414	16	∪	∪	VERB
ejpam-6479	414	17	g2	g2	PROPN
ejpam-6479	414	18	if	if	SCONJ
ejpam-6479	414	19	and	and	CCONJ
ejpam-6479	414	20	only	only	ADV
ejpam-6479	414	21	if	if	SCONJ
ejpam-6479	414	22	(	(	PUNCT
ejpam-6479	414	23	ϑv	ϑv	ADP
ejpam-6479	414	24	1	1	NUM
ejpam-6479	414	25	,	,	PUNCT
ejpam-6479	414	26	ϑe1	ϑe1	ADJ
ejpam-6479	414	27	)	)	PUNCT
ejpam-6479	414	28	and	and	CCONJ
ejpam-6479	414	29	(	(	PUNCT
ejpam-6479	414	30	ϑv	ϑv	ADP
ejpam-6479	414	31	2	2	NUM
ejpam-6479	414	32	,	,	PUNCT
ejpam-6479	414	33	ϑe2	ϑe2	NOUN
ejpam-6479	414	34	)	)	PUNCT
ejpam-6479	414	35	are	be	AUX
ejpam-6479	414	36	exponential	exponential	ADJ
ejpam-6479	414	37	fuzzy	fuzzy	ADJ
ejpam-6479	414	38	subgraphs	subgraph	NOUN
ejpam-6479	414	39	of	of	ADP
ejpam-6479	414	40	g1andg2	g1andg2	NOUN
ejpam-6479	414	41	respectively	respectively	ADV
ejpam-6479	414	42	.	.	PUNCT
ejpam-6479	415	1	proof	proof	NOUN
ejpam-6479	415	2	.	.	PUNCT
ejpam-6479	416	1	suppose	suppose	VERB
ejpam-6479	416	2	that	that	SCONJ
ejpam-6479	416	3	(	(	PUNCT
ejpam-6479	416	4	ϑv	ϑv	ADP
ejpam-6479	416	5	1∪v	1∪v	NUM
ejpam-6479	416	6	2	2	NUM
ejpam-6479	416	7	,	,	PUNCT
ejpam-6479	416	8	ϑe1∪e2	ϑe1∪e2	PROPN
ejpam-6479	416	9	)	)	PUNCT
ejpam-6479	416	10	is	be	AUX
ejpam-6479	416	11	a	a	DET
ejpam-6479	416	12	exponential	exponential	ADJ
ejpam-6479	416	13	fuzzy	fuzzy	ADJ
ejpam-6479	416	14	subgraph	subgraph	NOUN
ejpam-6479	416	15	of	of	ADP
ejpam-6479	416	16	g1	g1	PROPN
ejpam-6479	416	17	∪g2	∪g2	PROPN
ejpam-6479	416	18	.	.	PUNCT
ejpam-6479	417	1	let	let	VERB
ejpam-6479	417	2	uv	uv	PRON
ejpam-6479	417	3	∈	∈	PROPN
ejpam-6479	417	4	ee2	ee2	NOUN
ejpam-6479	417	5	and	and	CCONJ
ejpam-6479	417	6	r	r	NOUN
ejpam-6479	417	7	,	,	PUNCT
ejpam-6479	417	8	w	w	PROPN
ejpam-6479	417	9	∈	∈	PROPN
ejpam-6479	417	10	ev	ev	ADP
ejpam-6479	417	11	1−v	1−v	NUM
ejpam-6479	417	12	2	2	NUM
ejpam-6479	417	13	.	.	PUNCT
ejpam-6479	418	1	hence	hence	ADV
ejpam-6479	418	2	ϑe1	ϑe1	ADV
ejpam-6479	418	3	=	=	SYM
ejpam-6479	418	4	ϑe1∪e2(rw	ϑe1∪e2(rw	NOUN
ejpam-6479	418	5	)	)	PUNCT
ejpam-6479	418	6	≤	≤	NOUN
ejpam-6479	418	7	min{ϑv	min{ϑv	ADP
ejpam-6479	418	8	1∪v	1∪v	NUM
ejpam-6479	418	9	2(r	2(r	NUM
ejpam-6479	418	10	)	)	PUNCT
ejpam-6479	418	11	,	,	PUNCT
ejpam-6479	418	12	ϑv	ϑv	ADP
ejpam-6479	418	13	1∪v	1∪v	NUM
ejpam-6479	418	14	2(w	2(w	NUM
ejpam-6479	418	15	)	)	PUNCT
ejpam-6479	418	16	}	}	PUNCT
ejpam-6479	419	1	=	=	SYM
ejpam-6479	419	2	min{ϑv	min{ϑv	NOUN
ejpam-6479	419	3	1(r	1(r	NUM
ejpam-6479	419	4	)	)	PUNCT
ejpam-6479	419	5	,	,	PUNCT
ejpam-6479	419	6	ϑv	ϑv	ADP
ejpam-6479	419	7	1(w	1(w	NUM
ejpam-6479	419	8	)	)	PUNCT
ejpam-6479	419	9	}	}	PUNCT
ejpam-6479	419	10	.	.	PUNCT
ejpam-6479	420	1	thus	thus	ADV
ejpam-6479	420	2	(	(	PUNCT
ejpam-6479	420	3	ϑv	ϑv	ADP
ejpam-6479	420	4	1	1	NUM
ejpam-6479	420	5	,	,	PUNCT
ejpam-6479	420	6	ϑe1	ϑe1	ADV
ejpam-6479	420	7	)	)	PUNCT
ejpam-6479	420	8	is	be	AUX
ejpam-6479	420	9	a	a	DET
ejpam-6479	420	10	exponential	exponential	ADJ
ejpam-6479	420	11	fuzzy	fuzzy	ADJ
ejpam-6479	420	12	subgraph	subgraph	NOUN
ejpam-6479	420	13	of	of	ADP
ejpam-6479	420	14	g1	g1	PROPN
ejpam-6479	420	15	.	.	PUNCT
ejpam-6479	421	1	similarly	similarly	ADV
ejpam-6479	421	2	,	,	PUNCT
ejpam-6479	421	3	(	(	PUNCT
ejpam-6479	421	4	ϑv	ϑv	ADP
ejpam-6479	421	5	2	2	NUM
ejpam-6479	421	6	,	,	PUNCT
ejpam-6479	421	7	ϑe2	ϑe2	NOUN
ejpam-6479	421	8	)	)	PUNCT
ejpam-6479	421	9	is	be	AUX
ejpam-6479	421	10	a	a	DET
ejpam-6479	421	11	exponential	exponential	ADJ
ejpam-6479	421	12	fuzzy	fuzzy	ADJ
ejpam-6479	421	13	subgraph	subgraph	NOUN
ejpam-6479	421	14	of	of	ADP
ejpam-6479	421	15	g2	g2	PROPN
ejpam-6479	421	16	.	.	PUNCT
ejpam-6479	422	1	w.	w.	PROPN
ejpam-6479	422	2	f.	f.	PROPN
ejpam-6479	422	3	al	al	PROPN
ejpam-6479	422	4	-	-	PUNCT
ejpam-6479	422	5	omeri	omeri	PROPN
ejpam-6479	422	6	et	et	PROPN
ejpam-6479	422	7	al	al	PROPN
ejpam-6479	422	8	.	.	PUNCT
ejpam-6479	422	9	/	/	SYM
ejpam-6479	422	10	eur	eur	PROPN
ejpam-6479	422	11	.	.	PUNCT
ejpam-6479	423	1	j.	j.	PROPN
ejpam-6479	423	2	pure	pure	PROPN
ejpam-6479	423	3	appl	appl	PROPN
ejpam-6479	423	4	.	.	PROPN
ejpam-6479	423	5	math	math	PROPN
ejpam-6479	423	6	,	,	PUNCT
ejpam-6479	423	7	18	18	NUM
ejpam-6479	423	8	(	(	PUNCT
ejpam-6479	423	9	3	3	NUM
ejpam-6479	423	10	)	)	PUNCT
ejpam-6479	423	11	(	(	PUNCT
ejpam-6479	423	12	2025	2025	NUM
ejpam-6479	423	13	)	)	PUNCT
ejpam-6479	423	14	,	,	PUNCT
ejpam-6479	423	15	6479	6479	NUM
ejpam-6479	423	16	20	20	NUM
ejpam-6479	423	17	of	of	ADP
ejpam-6479	423	18	28	28	NUM
ejpam-6479	423	19	definition	definition	NOUN
ejpam-6479	423	20	19	19	NUM
ejpam-6479	423	21	(	(	PUNCT
ejpam-6479	423	22	semi	semi	ADJ
ejpam-6479	423	23	-	-	ADJ
ejpam-6479	423	24	strong	strong	ADJ
ejpam-6479	423	25	product	product	NOUN
ejpam-6479	423	26	)	)	PUNCT
ejpam-6479	423	27	.	.	PUNCT
ejpam-6479	424	1	let	let	VERB
ejpam-6479	424	2	g1	g1	PROPN
ejpam-6479	424	3	=	=	SYM
ejpam-6479	424	4	(	(	PUNCT
ejpam-6479	424	5	ev	ev	INTJ
ejpam-6479	424	6	1	1	NUM
ejpam-6479	424	7	,	,	PUNCT
ejpam-6479	424	8	ee1	ee1	PROPN
ejpam-6479	424	9	,	,	PUNCT
ejpam-6479	424	10	ϑv	ϑv	ADP
ejpam-6479	424	11	1	1	NUM
ejpam-6479	424	12	,	,	PUNCT
ejpam-6479	424	13	ϑe1	ϑe1	ADJ
ejpam-6479	424	14	)	)	PUNCT
ejpam-6479	424	15	and	and	CCONJ
ejpam-6479	424	16	g2	g2	PROPN
ejpam-6479	424	17	=	=	PUNCT
ejpam-6479	425	1	(	(	PUNCT
ejpam-6479	425	2	ev	ev	INTJ
ejpam-6479	425	3	2	2	NUM
ejpam-6479	425	4	,	,	PUNCT
ejpam-6479	425	5	ee2	ee2	NOUN
ejpam-6479	425	6	,	,	PUNCT
ejpam-6479	425	7	ϑv	ϑv	ADP
ejpam-6479	425	8	2	2	NUM
ejpam-6479	425	9	,	,	PUNCT
ejpam-6479	425	10	ϑe2	ϑe2	NOUN
ejpam-6479	425	11	)	)	PUNCT
ejpam-6479	425	12	be	be	VERB
ejpam-6479	425	13	two	two	NUM
ejpam-6479	425	14	exponential	exponential	ADJ
ejpam-6479	425	15	fuzzy	fuzzy	ADJ
ejpam-6479	425	16	graphs	graph	NOUN
ejpam-6479	425	17	,	,	PUNCT
ejpam-6479	425	18	where	where	SCONJ
ejpam-6479	425	19	:	:	PUNCT
ejpam-6479	425	20	for	for	ADP
ejpam-6479	425	21	each	each	DET
ejpam-6479	425	22	vertex	vertex	NOUN
ejpam-6479	425	23	w	w	NOUN
ejpam-6479	425	24	∈	∈	PROPN
ejpam-6479	425	25	ev	ev	X
ejpam-6479	425	26	i	i	PROPN
ejpam-6479	425	27	,	,	PUNCT
ejpam-6479	425	28	the	the	DET
ejpam-6479	425	29	membership	membership	NOUN
ejpam-6479	425	30	function	function	NOUN
ejpam-6479	425	31	is	be	AUX
ejpam-6479	425	32	given	give	VERB
ejpam-6479	425	33	by	by	ADP
ejpam-6479	425	34	ϑv	ϑv	ADP
ejpam-6479	425	35	i(w	i(w	NOUN
ejpam-6479	425	36	)	)	PUNCT
ejpam-6479	425	37	=	=	SYM
ejpam-6479	425	38	αv	αv	ADP
ejpam-6479	425	39	i(w	i(w	NOUN
ejpam-6479	425	40	)	)	PUNCT
ejpam-6479	425	41	·	·	PUNCT
ejpam-6479	426	1	e−λαv	e−λαv	NOUN
ejpam-6479	427	1	i	i	PRON
ejpam-6479	427	2	(	(	PUNCT
ejpam-6479	427	3	w	w	NOUN
ejpam-6479	427	4	)	)	PUNCT
ejpam-6479	427	5	,	,	PUNCT
ejpam-6479	427	6	αv	αv	ADP
ejpam-6479	427	7	i(w	i(w	NOUN
ejpam-6479	427	8	)	)	PUNCT
ejpam-6479	427	9	∈	∈	PROPN
ejpam-6479	428	1	[	[	X
ejpam-6479	428	2	0	0	NUM
ejpam-6479	428	3	,	,	PUNCT
ejpam-6479	428	4	1	1	NUM
ejpam-6479	428	5	]	]	PUNCT
ejpam-6479	428	6	,	,	PUNCT
ejpam-6479	428	7	λ	λ	X
ejpam-6479	428	8	>	>	X
ejpam-6479	428	9	0	0	NUM
ejpam-6479	428	10	.	.	PUNCT
ejpam-6479	429	1	for	for	ADP
ejpam-6479	429	2	each	each	DET
ejpam-6479	429	3	edge	edge	NOUN
ejpam-6479	429	4	(	(	PUNCT
ejpam-6479	429	5	r	r	NOUN
ejpam-6479	429	6	,	,	PUNCT
ejpam-6479	429	7	w	w	NOUN
ejpam-6479	429	8	)	)	PUNCT
ejpam-6479	429	9	∈	∈	NOUN
ejpam-6479	429	10	ev	ev	X
ejpam-6479	429	11	i×v	i×v	PROPN
ejpam-6479	429	12	i	i	PROPN
ejpam-6479	429	13	,	,	PUNCT
ejpam-6479	429	14	ϑei(r	ϑei(r	PROPN
ejpam-6479	429	15	,	,	PUNCT
ejpam-6479	429	16	w	w	NOUN
ejpam-6479	429	17	)	)	PUNCT
ejpam-6479	429	18	=	=	SYM
ejpam-6479	429	19	αei(r	αei(r	PROPN
ejpam-6479	429	20	,	,	PUNCT
ejpam-6479	429	21	w	w	PROPN
ejpam-6479	429	22	)	)	PUNCT
ejpam-6479	429	23	·	·	PUNCT
ejpam-6479	429	24	e−λαei	e−λαei	X
ejpam-6479	429	25	(	(	PUNCT
ejpam-6479	429	26	r	r	NOUN
ejpam-6479	429	27	,	,	PUNCT
ejpam-6479	429	28	w	w	NOUN
ejpam-6479	429	29	)	)	PUNCT
ejpam-6479	429	30	,	,	PUNCT
ejpam-6479	429	31	with	with	ADP
ejpam-6479	429	32	ϑei(r	ϑei(r	PROPN
ejpam-6479	429	33	,	,	PUNCT
ejpam-6479	429	34	w	w	NOUN
ejpam-6479	429	35	)	)	PUNCT
ejpam-6479	429	36	≤	≤	NOUN
ejpam-6479	429	37	min{ϑv	min{ϑv	ADP
ejpam-6479	429	38	i(r	i(r	PROPN
ejpam-6479	429	39	)	)	PUNCT
ejpam-6479	429	40	,	,	PUNCT
ejpam-6479	429	41	ϑv	ϑv	ADP
ejpam-6479	429	42	i(w	i(w	NOUN
ejpam-6479	429	43	)	)	PUNCT
ejpam-6479	429	44	}	}	PUNCT
ejpam-6479	429	45	,	,	PUNCT
ejpam-6479	429	46	for	for	ADP
ejpam-6479	429	47	i	i	PROPN
ejpam-6479	429	48	=	=	SYM
ejpam-6479	429	49	1	1	NUM
ejpam-6479	429	50	,	,	PUNCT
ejpam-6479	429	51	2	2	NUM
ejpam-6479	429	52	.	.	PUNCT
ejpam-6479	429	53	the	the	DET
ejpam-6479	429	54	semi	semi	ADJ
ejpam-6479	429	55	-	-	ADJ
ejpam-6479	429	56	strong	strong	ADJ
ejpam-6479	429	57	product	product	NOUN
ejpam-6479	429	58	of	of	ADP
ejpam-6479	429	59	g1	g1	PROPN
ejpam-6479	429	60	and	and	CCONJ
ejpam-6479	429	61	g2	g2	PROPN
ejpam-6479	429	62	,	,	PUNCT
ejpam-6479	429	63	denoted	denote	VERB
ejpam-6479	429	64	by	by	ADP
ejpam-6479	429	65	g	g	NOUN
ejpam-6479	429	66	=	=	PUNCT
ejpam-6479	429	67	g1⊠sg2	g1⊠sg2	NOUN
ejpam-6479	429	68	,	,	PUNCT
ejpam-6479	429	69	is	be	AUX
ejpam-6479	429	70	defined	define	VERB
ejpam-6479	429	71	as	as	SCONJ
ejpam-6479	429	72	follows	follow	VERB
ejpam-6479	429	73	:	:	PUNCT
ejpam-6479	429	74	the	the	DET
ejpam-6479	429	75	vertex	vertex	NOUN
ejpam-6479	429	76	set	set	NOUN
ejpam-6479	429	77	is	be	AUX
ejpam-6479	429	78	ev	ev	NOUN
ejpam-6479	429	79	=	=	PUNCT
ejpam-6479	429	80	ev	ev	PROPN
ejpam-6479	429	81	1⊠sv	1⊠sv	NUM
ejpam-6479	429	82	2	2	NUM
ejpam-6479	429	83	.	.	PUNCT
ejpam-6479	430	1	the	the	DET
ejpam-6479	430	2	vertex	vertex	NOUN
ejpam-6479	430	3	membership	membership	NOUN
ejpam-6479	430	4	function	function	NOUN
ejpam-6479	430	5	is	be	AUX
ejpam-6479	430	6	defined	define	VERB
ejpam-6479	430	7	as	as	ADP
ejpam-6479	430	8	ϑv	ϑv	NOUN
ejpam-6479	430	9	(	(	PUNCT
ejpam-6479	430	10	(	(	PUNCT
ejpam-6479	430	11	r1	r1	NOUN
ejpam-6479	430	12	,	,	PUNCT
ejpam-6479	430	13	r2	r2	PROPN
ejpam-6479	430	14	)	)	PUNCT
ejpam-6479	430	15	)	)	PUNCT
ejpam-6479	431	1	=	=	PUNCT
ejpam-6479	431	2	min{ϑv	min{ϑv	NUM
ejpam-6479	431	3	1(r1	1(r1	NUM
ejpam-6479	431	4	)	)	PUNCT
ejpam-6479	431	5	,	,	PUNCT
ejpam-6479	431	6	ϑv	ϑv	ADP
ejpam-6479	431	7	2(r2	2(r2	NUM
ejpam-6479	431	8	)	)	PUNCT
ejpam-6479	431	9	}	}	PUNCT
ejpam-6479	431	10	.	.	PUNCT
ejpam-6479	432	1	the	the	DET
ejpam-6479	432	2	edge	edge	NOUN
ejpam-6479	432	3	set	set	VERB
ejpam-6479	432	4	consists	consist	VERB
ejpam-6479	432	5	of	of	ADP
ejpam-6479	432	6	pairs	pair	NOUN
ejpam-6479	432	7	(	(	PUNCT
ejpam-6479	432	8	(	(	PUNCT
ejpam-6479	432	9	r1	r1	NOUN
ejpam-6479	432	10	,	,	PUNCT
ejpam-6479	432	11	r2	r2	PROPN
ejpam-6479	432	12	)	)	PUNCT
ejpam-6479	432	13	,	,	PUNCT
ejpam-6479	432	14	(	(	PUNCT
ejpam-6479	432	15	w1	w1	NOUN
ejpam-6479	432	16	,	,	PUNCT
ejpam-6479	432	17	w2	w2	NOUN
ejpam-6479	432	18	)	)	PUNCT
ejpam-6479	432	19	)	)	PUNCT
ejpam-6479	433	1	∈	∈	NOUN
ejpam-6479	433	2	ev×v	ev×v	ADJ
ejpam-6479	433	3	such	such	ADJ
ejpam-6479	433	4	that	that	SCONJ
ejpam-6479	433	5	at	at	ADV
ejpam-6479	433	6	least	least	ADJ
ejpam-6479	433	7	one	one	NUM
ejpam-6479	433	8	of	of	ADP
ejpam-6479	433	9	the	the	DET
ejpam-6479	433	10	following	follow	VERB
ejpam-6479	433	11	holds	hold	VERB
ejpam-6479	433	12	:	:	PUNCT
ejpam-6479	433	13	(	(	PUNCT
ejpam-6479	433	14	i	i	NOUN
ejpam-6479	433	15	)	)	PUNCT
ejpam-6479	433	16	(	(	PUNCT
ejpam-6479	433	17	r1	r1	PROPN
ejpam-6479	433	18	,	,	PUNCT
ejpam-6479	433	19	w1	w1	NOUN
ejpam-6479	433	20	)	)	PUNCT
ejpam-6479	433	21	∈	∈	PROPN
ejpam-6479	433	22	ee1	ee1	PROPN
ejpam-6479	433	23	and	and	CCONJ
ejpam-6479	433	24	r2	r2	PROPN
ejpam-6479	433	25	=	=	SYM
ejpam-6479	433	26	w2	w2	NOUN
ejpam-6479	433	27	,	,	PUNCT
ejpam-6479	433	28	(	(	PUNCT
ejpam-6479	433	29	ii	ii	NOUN
ejpam-6479	433	30	)	)	PUNCT
ejpam-6479	433	31	r1	r1	NOUN
ejpam-6479	433	32	=	=	PROPN
ejpam-6479	433	33	w1	w1	PROPN
ejpam-6479	433	34	and	and	CCONJ
ejpam-6479	433	35	(	(	PUNCT
ejpam-6479	433	36	r2	r2	PROPN
ejpam-6479	433	37	,	,	PUNCT
ejpam-6479	433	38	w2	w2	NOUN
ejpam-6479	433	39	)	)	PUNCT
ejpam-6479	433	40	∈	∈	PROPN
ejpam-6479	433	41	ee2	ee2	PROPN
ejpam-6479	433	42	,	,	PUNCT
ejpam-6479	433	43	(	(	PUNCT
ejpam-6479	433	44	iii	iii	X
ejpam-6479	433	45	)	)	PUNCT
ejpam-6479	433	46	(	(	PUNCT
ejpam-6479	433	47	r1	r1	PROPN
ejpam-6479	433	48	,	,	PUNCT
ejpam-6479	433	49	w1	w1	NOUN
ejpam-6479	433	50	)	)	PUNCT
ejpam-6479	433	51	∈	∈	PROPN
ejpam-6479	433	52	ee1	ee1	PROPN
ejpam-6479	433	53	and	and	CCONJ
ejpam-6479	433	54	(	(	PUNCT
ejpam-6479	433	55	r2	r2	PROPN
ejpam-6479	433	56	,	,	PUNCT
ejpam-6479	433	57	w2	w2	NOUN
ejpam-6479	433	58	)	)	PUNCT
ejpam-6479	433	59	∈	∈	PROPN
ejpam-6479	433	60	ee2	ee2	PROPN
ejpam-6479	433	61	.	.	PUNCT
ejpam-6479	434	1	the	the	DET
ejpam-6479	434	2	edge	edge	NOUN
ejpam-6479	434	3	membership	membership	NOUN
ejpam-6479	434	4	function	function	NOUN
ejpam-6479	434	5	is	be	AUX
ejpam-6479	434	6	given	give	VERB
ejpam-6479	434	7	by	by	ADP
ejpam-6479	434	8	ϑe((r1	ϑe((r1	NOUN
ejpam-6479	434	9	,	,	PUNCT
ejpam-6479	434	10	w1	w1	NOUN
ejpam-6479	434	11	)	)	PUNCT
ejpam-6479	434	12	,	,	PUNCT
ejpam-6479	434	13	(	(	PUNCT
ejpam-6479	434	14	r2	r2	NOUN
ejpam-6479	434	15	,	,	PUNCT
ejpam-6479	434	16	w2	w2	NOUN
ejpam-6479	434	17	)	)	PUNCT
ejpam-6479	434	18	)	)	PUNCT
ejpam-6479	435	1	=	=	SYM
ejpam-6479	435	2	max	max	PROPN
ejpam-6479	435	3			PROPN
ejpam-6479	435	4	ϑe1(r1	ϑe1(r1	PROPN
ejpam-6479	435	5	,	,	PUNCT
ejpam-6479	435	6	w1	w1	NOUN
ejpam-6479	435	7	)	)	PUNCT
ejpam-6479	435	8	·	·	PUNCT
ejpam-6479	435	9	δ(r2	δ(r2	NOUN
ejpam-6479	435	10	,	,	PUNCT
ejpam-6479	435	11	w2	w2	NOUN
ejpam-6479	435	12	)	)	PUNCT
ejpam-6479	435	13	,	,	PUNCT
ejpam-6479	435	14	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	435	15	,	,	PUNCT
ejpam-6479	435	16	w2	w2	NOUN
ejpam-6479	435	17	)	)	PUNCT
ejpam-6479	435	18	·	·	PUNCT
ejpam-6479	435	19	δ(r1	δ(r1	PROPN
ejpam-6479	435	20	,	,	PUNCT
ejpam-6479	435	21	w1	w1	NOUN
ejpam-6479	435	22	)	)	PUNCT
ejpam-6479	435	23	,	,	PUNCT
ejpam-6479	435	24	min{ϑe1(r1	min{ϑe1(r1	PROPN
ejpam-6479	435	25	,	,	PUNCT
ejpam-6479	435	26	w1	w1	NOUN
ejpam-6479	435	27	)	)	PUNCT
ejpam-6479	435	28	,	,	PUNCT
ejpam-6479	435	29	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	435	30	,	,	PUNCT
ejpam-6479	435	31	w2	w2	NOUN
ejpam-6479	435	32	)	)	PUNCT
ejpam-6479	435	33	}	}	PUNCT
ejpam-6479	435	34			PROPN
ejpam-6479	435	35	,	,	PUNCT
ejpam-6479	435	36	where	where	SCONJ
ejpam-6479	435	37	δ(a	δ(a	PROPN
ejpam-6479	435	38	,	,	PUNCT
ejpam-6479	435	39	b	b	NOUN
ejpam-6479	435	40	)	)	PUNCT
ejpam-6479	435	41	=	=	NOUN
ejpam-6479	435	42	{	{	PUNCT
ejpam-6479	435	43	1	1	NUM
ejpam-6479	435	44	,	,	PUNCT
ejpam-6479	435	45	if	if	SCONJ
ejpam-6479	435	46	a	a	DET
ejpam-6479	435	47	=	=	SYM
ejpam-6479	435	48	b	b	NOUN
ejpam-6479	435	49	,	,	PUNCT
ejpam-6479	435	50	0	0	NUM
ejpam-6479	435	51	,	,	PUNCT
ejpam-6479	435	52	otherwise	otherwise	ADV
ejpam-6479	435	53	.	.	PUNCT
ejpam-6479	436	1	definition	definition	NOUN
ejpam-6479	436	2	20	20	NUM
ejpam-6479	436	3	(	(	PUNCT
ejpam-6479	436	4	degree	degree	NOUN
ejpam-6479	436	5	of	of	ADP
ejpam-6479	436	6	semi	semi	ADJ
ejpam-6479	436	7	-	-	ADJ
ejpam-6479	436	8	strong	strong	ADJ
ejpam-6479	436	9	product	product	NOUN
ejpam-6479	436	10	)	)	PUNCT
ejpam-6479	436	11	.	.	PUNCT
ejpam-6479	437	1	let	let	VERB
ejpam-6479	437	2	g1	g1	PROPN
ejpam-6479	437	3	=	=	SYM
ejpam-6479	437	4	(	(	PUNCT
ejpam-6479	437	5	ev	ev	INTJ
ejpam-6479	437	6	1	1	NUM
ejpam-6479	437	7	,	,	PUNCT
ejpam-6479	437	8	ee1	ee1	PROPN
ejpam-6479	437	9	,	,	PUNCT
ejpam-6479	437	10	ϑv	ϑv	ADP
ejpam-6479	437	11	1	1	NUM
ejpam-6479	437	12	,	,	PUNCT
ejpam-6479	437	13	ϑe1	ϑe1	ADJ
ejpam-6479	437	14	)	)	PUNCT
ejpam-6479	437	15	,	,	PUNCT
ejpam-6479	437	16	g2	g2	PROPN
ejpam-6479	437	17	=	=	PRON
ejpam-6479	437	18	(	(	PUNCT
ejpam-6479	437	19	ev	ev	INTJ
ejpam-6479	437	20	2	2	NUM
ejpam-6479	437	21	,	,	PUNCT
ejpam-6479	437	22	ee2	ee2	NOUN
ejpam-6479	437	23	,	,	PUNCT
ejpam-6479	437	24	ϑv	ϑv	ADP
ejpam-6479	437	25	2	2	NUM
ejpam-6479	437	26	,	,	PUNCT
ejpam-6479	437	27	ϑe2	ϑe2	NOUN
ejpam-6479	437	28	)	)	PUNCT
ejpam-6479	437	29	be	be	VERB
ejpam-6479	437	30	two	two	NUM
ejpam-6479	437	31	exponential	exponential	ADJ
ejpam-6479	437	32	fuzzy	fuzzy	ADJ
ejpam-6479	437	33	graphs	graph	NOUN
ejpam-6479	437	34	with	with	ADP
ejpam-6479	437	35	ϑv	ϑv	ADP
ejpam-6479	437	36	i(w	i(w	NOUN
ejpam-6479	437	37	)	)	PUNCT
ejpam-6479	437	38	=	=	SYM
ejpam-6479	437	39	αv	αv	ADP
ejpam-6479	437	40	i(w	i(w	NOUN
ejpam-6479	437	41	)	)	PUNCT
ejpam-6479	438	1	e−λαv	e−λαv	NOUN
ejpam-6479	439	1	i	i	PRON
ejpam-6479	439	2	(	(	PUNCT
ejpam-6479	439	3	w	w	NOUN
ejpam-6479	439	4	)	)	PUNCT
ejpam-6479	439	5	,	,	PUNCT
ejpam-6479	439	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	439	7	,	,	PUNCT
ejpam-6479	439	8	w	w	NOUN
ejpam-6479	439	9	)	)	PUNCT
ejpam-6479	439	10	=	=	SYM
ejpam-6479	439	11	αei(r	αei(r	PROPN
ejpam-6479	439	12	,	,	PUNCT
ejpam-6479	439	13	w	w	PROPN
ejpam-6479	439	14	)	)	PUNCT
ejpam-6479	439	15	e−λαei	e−λαei	X
ejpam-6479	439	16	(	(	PUNCT
ejpam-6479	439	17	r	r	NOUN
ejpam-6479	439	18	,	,	PUNCT
ejpam-6479	439	19	w	w	NOUN
ejpam-6479	439	20	)	)	PUNCT
ejpam-6479	439	21	,	,	PUNCT
ejpam-6479	439	22	i	i	PRON
ejpam-6479	439	23	=	=	NOUN
ejpam-6479	439	24	1	1	NUM
ejpam-6479	439	25	,	,	PUNCT
ejpam-6479	439	26	2	2	NUM
ejpam-6479	439	27	.	.	PUNCT
ejpam-6479	440	1	their	their	PRON
ejpam-6479	440	2	semi	semi	ADJ
ejpam-6479	440	3	-	-	ADJ
ejpam-6479	440	4	strong	strong	ADJ
ejpam-6479	440	5	product	product	NOUN
ejpam-6479	440	6	is	be	AUX
ejpam-6479	440	7	g	g	NOUN
ejpam-6479	440	8	=	=	NOUN
ejpam-6479	440	9	g1⊠sg2	g1⊠sg2	NOUN
ejpam-6479	440	10	=	=	SYM
ejpam-6479	440	11	(	(	PUNCT
ejpam-6479	440	12	ev	ev	ADP
ejpam-6479	440	13	1⊠sv	1⊠sv	NUM
ejpam-6479	440	14	2	2	NUM
ejpam-6479	440	15	,	,	PUNCT
ejpam-6479	440	16	ee1⊠se2	ee1⊠se2	PROPN
ejpam-6479	440	17	,	,	PUNCT
ejpam-6479	440	18	ϑv	ϑv	NOUN
ejpam-6479	440	19	,	,	PUNCT
ejpam-6479	440	20	ϑe	ϑe	VERB
ejpam-6479	440	21	)	)	PUNCT
ejpam-6479	440	22	,	,	PUNCT
ejpam-6479	440	23	.	.	PUNCT
ejpam-6479	441	1	then	then	ADV
ejpam-6479	441	2	the	the	DET
ejpam-6479	441	3	degree	degree	NOUN
ejpam-6479	441	4	of	of	ADP
ejpam-6479	441	5	vertex	vertex	NOUN
ejpam-6479	441	6	of	of	ADP
ejpam-6479	441	7	semi	semi	ADJ
ejpam-6479	441	8	-	-	ADJ
ejpam-6479	441	9	strong	strong	ADJ
ejpam-6479	441	10	product	product	NOUN
ejpam-6479	441	11	is	be	AUX
ejpam-6479	441	12	degg1⊠sg2(r1	degg1⊠sg2(r1	PROPN
ejpam-6479	441	13	,	,	PUNCT
ejpam-6479	441	14	w1	w1	NOUN
ejpam-6479	441	15	)	)	PUNCT
ejpam-6479	441	16	,	,	PUNCT
ejpam-6479	441	17	(	(	PUNCT
ejpam-6479	441	18	r2	r2	NOUN
ejpam-6479	441	19	,	,	PUNCT
ejpam-6479	441	20	w2	w2	NOUN
ejpam-6479	441	21	)	)	PUNCT
ejpam-6479	441	22	=	=	PUNCT
ejpam-6479	442	1	∑	∑	PUNCT
ejpam-6479	442	2	r1	r1	PROPN
ejpam-6479	442	3	=	=	NOUN
ejpam-6479	442	4	w1	w1	NOUN
ejpam-6479	442	5	,	,	PUNCT
ejpam-6479	442	6	(	(	PUNCT
ejpam-6479	442	7	r2,w2)∈ee2	r2,w2)∈ee2	X
ejpam-6479	442	8	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	442	9	,	,	PUNCT
ejpam-6479	442	10	w2	w2	NOUN
ejpam-6479	442	11	)	)	PUNCT
ejpam-6479	442	12	·	·	PUNCT
ejpam-6479	443	1	δ(r1	δ(r1	NOUN
ejpam-6479	443	2	,	,	PUNCT
ejpam-6479	443	3	w1	w1	NOUN
ejpam-6479	443	4	)	)	PUNCT
ejpam-6479	443	5	+	+	CCONJ
ejpam-6479	443	6	∑	∑	PUNCT
ejpam-6479	443	7	r2	r2	PROPN
ejpam-6479	443	8	=	=	NOUN
ejpam-6479	443	9	w2	w2	NOUN
ejpam-6479	443	10	,	,	PUNCT
ejpam-6479	443	11	(	(	PUNCT
ejpam-6479	443	12	r1,w1)∈ee1	r1,w1)∈ee1	X
ejpam-6479	443	13	ϑe1(r1	ϑe1(r1	PROPN
ejpam-6479	443	14	,	,	PUNCT
ejpam-6479	443	15	w1	w1	NOUN
ejpam-6479	443	16	)	)	PUNCT
ejpam-6479	443	17	·	·	PUNCT
ejpam-6479	444	1	δ(r2	δ(r2	NOUN
ejpam-6479	444	2	,	,	PUNCT
ejpam-6479	444	3	w2	w2	NOUN
ejpam-6479	444	4	)	)	PUNCT
ejpam-6479	445	1	+	+	CCONJ
ejpam-6479	445	2	∑	∑	PUNCT
ejpam-6479	445	3	(	(	PUNCT
ejpam-6479	445	4	r1,w1)∈ee1	r1,w1)∈ee1	NOUN
ejpam-6479	445	5	,	,	PUNCT
ejpam-6479	445	6	(	(	PUNCT
ejpam-6479	445	7	r2,w2)∈ee2	r2,w2)∈ee2	X
ejpam-6479	445	8	min{ϑe1(r1	min{ϑe1(r1	NOUN
ejpam-6479	445	9	,	,	PUNCT
ejpam-6479	445	10	w1	w1	NOUN
ejpam-6479	445	11	)	)	PUNCT
ejpam-6479	445	12	,	,	PUNCT
ejpam-6479	445	13	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	445	14	,	,	PUNCT
ejpam-6479	445	15	w2	w2	NOUN
ejpam-6479	445	16	)	)	PUNCT
ejpam-6479	445	17	}	}	PUNCT
ejpam-6479	445	18	theorem	theorem	VERB
ejpam-6479	445	19	6	6	NUM
ejpam-6479	445	20	.	.	PUNCT
ejpam-6479	446	1	let	let	VERB
ejpam-6479	446	2	g1	g1	PROPN
ejpam-6479	446	3	=	=	SYM
ejpam-6479	446	4	(	(	PUNCT
ejpam-6479	446	5	ev	ev	INTJ
ejpam-6479	446	6	1	1	NUM
ejpam-6479	446	7	,	,	PUNCT
ejpam-6479	446	8	ee1	ee1	PROPN
ejpam-6479	446	9	,	,	PUNCT
ejpam-6479	446	10	ϑv	ϑv	ADP
ejpam-6479	446	11	1	1	NUM
ejpam-6479	446	12	,	,	PUNCT
ejpam-6479	446	13	ϑe1	ϑe1	ADJ
ejpam-6479	446	14	)	)	PUNCT
ejpam-6479	446	15	and	and	CCONJ
ejpam-6479	446	16	g2	g2	PROPN
ejpam-6479	446	17	=	=	PUNCT
ejpam-6479	447	1	(	(	PUNCT
ejpam-6479	447	2	ev	ev	INTJ
ejpam-6479	447	3	2	2	NUM
ejpam-6479	447	4	,	,	PUNCT
ejpam-6479	447	5	ee2	ee2	NOUN
ejpam-6479	447	6	,	,	PUNCT
ejpam-6479	447	7	ϑv	ϑv	ADP
ejpam-6479	447	8	2	2	NUM
ejpam-6479	447	9	,	,	PUNCT
ejpam-6479	447	10	ϑe2	ϑe2	NOUN
ejpam-6479	447	11	)	)	PUNCT
ejpam-6479	447	12	be	be	VERB
ejpam-6479	447	13	two	two	NUM
ejpam-6479	447	14	exponential	exponential	ADJ
ejpam-6479	447	15	fuzzy	fuzzy	ADJ
ejpam-6479	447	16	graphs	graph	NOUN
ejpam-6479	447	17	with	with	ADP
ejpam-6479	447	18	ϑv	ϑv	ADP
ejpam-6479	447	19	i(w	i(w	NOUN
ejpam-6479	447	20	)	)	PUNCT
ejpam-6479	447	21	=	=	SYM
ejpam-6479	447	22	αv	αv	ADP
ejpam-6479	447	23	i(w	i(w	NOUN
ejpam-6479	447	24	)	)	PUNCT
ejpam-6479	448	1	e−λαv	e−λαv	NOUN
ejpam-6479	449	1	i	i	PRON
ejpam-6479	449	2	(	(	PUNCT
ejpam-6479	449	3	w	w	NOUN
ejpam-6479	449	4	)	)	PUNCT
ejpam-6479	449	5	,	,	PUNCT
ejpam-6479	449	6	ϑei(r	ϑei(r	PROPN
ejpam-6479	449	7	,	,	PUNCT
ejpam-6479	449	8	w	w	NOUN
ejpam-6479	449	9	)	)	PUNCT
ejpam-6479	449	10	=	=	SYM
ejpam-6479	449	11	αei(r	αei(r	PROPN
ejpam-6479	449	12	,	,	PUNCT
ejpam-6479	449	13	w	w	PROPN
ejpam-6479	449	14	)	)	PUNCT
ejpam-6479	449	15	e−λαei	e−λαei	X
ejpam-6479	449	16	(	(	PUNCT
ejpam-6479	449	17	r	r	NOUN
ejpam-6479	449	18	,	,	PUNCT
ejpam-6479	449	19	w	w	NOUN
ejpam-6479	449	20	)	)	PUNCT
ejpam-6479	449	21	,	,	PUNCT
ejpam-6479	449	22	i	i	PRON
ejpam-6479	449	23	=	=	NOUN
ejpam-6479	449	24	1	1	NUM
ejpam-6479	449	25	,	,	PUNCT
ejpam-6479	449	26	2	2	NUM
ejpam-6479	449	27	.	.	PUNCT
ejpam-6479	449	28	define	define	VERB
ejpam-6479	449	29	their	their	PRON
ejpam-6479	449	30	cartesian	cartesian	ADJ
ejpam-6479	449	31	product	product	NOUN
ejpam-6479	449	32	g	g	NOUN
ejpam-6479	449	33	=	=	PROPN
ejpam-6479	449	34	g1	g1	PROPN
ejpam-6479	449	35	×	×	PROPN
ejpam-6479	449	36	g2	g2	PROPN
ejpam-6479	449	37	by	by	ADP
ejpam-6479	449	38	ev	ev	PROPN
ejpam-6479	449	39	=	=	PROPN
ejpam-6479	449	40	ev	ev	PROPN
ejpam-6479	449	41	1×v	1×v	NUM
ejpam-6479	449	42	2	2	NUM
ejpam-6479	449	43	,	,	PUNCT
ejpam-6479	449	44	ee	ee	ADP
ejpam-6479	449	45	=	=	PRON
ejpam-6479	449	46	{	{	PUNCT
ejpam-6479	449	47	(	(	PUNCT
ejpam-6479	449	48	(	(	PUNCT
ejpam-6479	449	49	r1	r1	PROPN
ejpam-6479	449	50	,	,	PUNCT
ejpam-6479	449	51	w1	w1	NOUN
ejpam-6479	449	52	)	)	PUNCT
ejpam-6479	449	53	,	,	PUNCT
ejpam-6479	449	54	(	(	PUNCT
ejpam-6479	449	55	r2	r2	NOUN
ejpam-6479	449	56	,	,	PUNCT
ejpam-6479	449	57	w2	w2	NOUN
ejpam-6479	449	58	)	)	PUNCT
ejpam-6479	449	59	)	)	PUNCT
ejpam-6479	450	1	|	|	ADV
ejpam-6479	450	2	(	(	PUNCT
ejpam-6479	450	3	r1	r1	PROPN
ejpam-6479	450	4	,	,	PUNCT
ejpam-6479	450	5	w1	w1	NOUN
ejpam-6479	450	6	)	)	PUNCT
ejpam-6479	450	7	∈	∈	PROPN
ejpam-6479	450	8	ee1	ee1	PROPN
ejpam-6479	450	9	,	,	PUNCT
ejpam-6479	450	10	(	(	PUNCT
ejpam-6479	450	11	r2	r2	PROPN
ejpam-6479	450	12	,	,	PUNCT
ejpam-6479	450	13	w2	w2	NOUN
ejpam-6479	450	14	)	)	PUNCT
ejpam-6479	450	15	∈	∈	PROPN
ejpam-6479	450	16	ee2	ee2	PROPN
ejpam-6479	450	17	}	}	PUNCT
ejpam-6479	450	18	,	,	PUNCT
ejpam-6479	450	19	and	and	CCONJ
ejpam-6479	450	20	ϑv	ϑv	X
ejpam-6479	450	21	(	(	PUNCT
ejpam-6479	450	22	r1	r1	PROPN
ejpam-6479	450	23	,	,	PUNCT
ejpam-6479	450	24	w1	w1	NOUN
ejpam-6479	450	25	)	)	PUNCT
ejpam-6479	450	26	=	=	PUNCT
ejpam-6479	451	1	min{ϑv	min{ϑv	NUM
ejpam-6479	451	2	1(r1	1(r1	NUM
ejpam-6479	451	3	)	)	PUNCT
ejpam-6479	451	4	,	,	PUNCT
ejpam-6479	451	5	ϑv	ϑv	ADP
ejpam-6479	451	6	2(w1	2(w1	NUM
ejpam-6479	451	7	)	)	PUNCT
ejpam-6479	451	8	}	}	PUNCT
ejpam-6479	451	9	,	,	PUNCT
ejpam-6479	451	10	ϑe	ϑe	VERB
ejpam-6479	451	11	(	(	PUNCT
ejpam-6479	451	12	(	(	PUNCT
ejpam-6479	451	13	r1	r1	PROPN
ejpam-6479	451	14	,	,	PUNCT
ejpam-6479	451	15	w1	w1	NOUN
ejpam-6479	451	16	)	)	PUNCT
ejpam-6479	451	17	,	,	PUNCT
ejpam-6479	451	18	(	(	PUNCT
ejpam-6479	451	19	r2	r2	NOUN
ejpam-6479	451	20	,	,	PUNCT
ejpam-6479	451	21	w2	w2	NOUN
ejpam-6479	451	22	)	)	PUNCT
ejpam-6479	451	23	)	)	PUNCT
ejpam-6479	452	1	=	=	SYM
ejpam-6479	452	2	min{ϑe1(r1	min{ϑe1(r1	PROPN
ejpam-6479	452	3	,	,	PUNCT
ejpam-6479	452	4	w1	w1	NOUN
ejpam-6479	452	5	)	)	PUNCT
ejpam-6479	452	6	,	,	PUNCT
ejpam-6479	452	7	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	452	8	,	,	PUNCT
ejpam-6479	452	9	w2	w2	NOUN
ejpam-6479	452	10	)	)	PUNCT
ejpam-6479	452	11	}	}	PUNCT
ejpam-6479	452	12	.	.	PUNCT
ejpam-6479	453	1	then	then	ADV
ejpam-6479	453	2	g	g	PROPN
ejpam-6479	453	3	is	be	AUX
ejpam-6479	453	4	an	an	DET
ejpam-6479	453	5	exponential	exponential	ADJ
ejpam-6479	453	6	fuzzy	fuzzy	ADJ
ejpam-6479	453	7	graph	graph	NOUN
ejpam-6479	453	8	.	.	PUNCT
ejpam-6479	454	1	w.	w.	PROPN
ejpam-6479	454	2	f.	f.	PROPN
ejpam-6479	454	3	al	al	PROPN
ejpam-6479	454	4	-	-	PUNCT
ejpam-6479	454	5	omeri	omeri	PROPN
ejpam-6479	454	6	et	et	PROPN
ejpam-6479	454	7	al	al	PROPN
ejpam-6479	454	8	.	.	PUNCT
ejpam-6479	454	9	/	/	SYM
ejpam-6479	454	10	eur	eur	PROPN
ejpam-6479	454	11	.	.	PUNCT
ejpam-6479	455	1	j.	j.	PROPN
ejpam-6479	455	2	pure	pure	PROPN
ejpam-6479	455	3	appl	appl	PROPN
ejpam-6479	455	4	.	.	PROPN
ejpam-6479	455	5	math	math	PROPN
ejpam-6479	455	6	,	,	PUNCT
ejpam-6479	455	7	18	18	NUM
ejpam-6479	455	8	(	(	PUNCT
ejpam-6479	455	9	3	3	NUM
ejpam-6479	455	10	)	)	PUNCT
ejpam-6479	455	11	(	(	PUNCT
ejpam-6479	455	12	2025	2025	NUM
ejpam-6479	455	13	)	)	PUNCT
ejpam-6479	455	14	,	,	PUNCT
ejpam-6479	455	15	6479	6479	NUM
ejpam-6479	455	16	21	21	NUM
ejpam-6479	455	17	of	of	ADP
ejpam-6479	455	18	28	28	NUM
ejpam-6479	455	19	proof	proof	NOUN
ejpam-6479	455	20	.	.	PUNCT
ejpam-6479	456	1	we	we	PRON
ejpam-6479	456	2	must	must	AUX
ejpam-6479	456	3	check	check	VERB
ejpam-6479	456	4	two	two	NUM
ejpam-6479	456	5	conditions	condition	NOUN
ejpam-6479	456	6	:	:	PUNCT
ejpam-6479	456	7	(	(	PUNCT
ejpam-6479	456	8	i	i	NOUN
ejpam-6479	456	9	)	)	PUNCT
ejpam-6479	456	10	range	range	NOUN
ejpam-6479	456	11	.	.	PUNCT
ejpam-6479	457	1	since	since	SCONJ
ejpam-6479	457	2	for	for	ADP
ejpam-6479	457	3	each	each	DET
ejpam-6479	457	4	i	i	NOUN
ejpam-6479	457	5	,	,	PUNCT
ejpam-6479	457	6	ϑv	ϑv	ADP
ejpam-6479	457	7	i	i	PRON
ejpam-6479	457	8	and	and	CCONJ
ejpam-6479	457	9	ϑei	ϑei	NOUN
ejpam-6479	457	10	take	take	VERB
ejpam-6479	457	11	values	value	NOUN
ejpam-6479	457	12	in	in	ADP
ejpam-6479	457	13	[	[	X
ejpam-6479	457	14	0	0	NUM
ejpam-6479	457	15	,	,	PUNCT
ejpam-6479	457	16	1	1	NUM
ejpam-6479	457	17	]	]	PUNCT
ejpam-6479	457	18	,	,	PUNCT
ejpam-6479	457	19	their	their	PRON
ejpam-6479	457	20	minima	minima	NOUN
ejpam-6479	457	21	also	also	ADV
ejpam-6479	457	22	lie	lie	VERB
ejpam-6479	457	23	in	in	ADP
ejpam-6479	457	24	[	[	X
ejpam-6479	457	25	0	0	NUM
ejpam-6479	457	26	,	,	PUNCT
ejpam-6479	457	27	1	1	NUM
ejpam-6479	457	28	]	]	PUNCT
ejpam-6479	457	29	.	.	PUNCT
ejpam-6479	458	1	hence	hence	ADV
ejpam-6479	458	2	ϑv	ϑv	PROPN
ejpam-6479	458	3	(	(	PUNCT
ejpam-6479	458	4	r1	r1	PROPN
ejpam-6479	458	5	,	,	PUNCT
ejpam-6479	458	6	w1	w1	NOUN
ejpam-6479	458	7	)	)	PUNCT
ejpam-6479	458	8	∈	∈	PROPN
ejpam-6479	459	1	[	[	X
ejpam-6479	459	2	0	0	NUM
ejpam-6479	459	3	,	,	PUNCT
ejpam-6479	459	4	1	1	NUM
ejpam-6479	459	5	]	]	PUNCT
ejpam-6479	459	6	,	,	PUNCT
ejpam-6479	459	7	ϑe((r1	ϑe((r1	PROPN
ejpam-6479	459	8	,	,	PUNCT
ejpam-6479	459	9	w1	w1	NOUN
ejpam-6479	459	10	)	)	PUNCT
ejpam-6479	459	11	,	,	PUNCT
ejpam-6479	459	12	(	(	PUNCT
ejpam-6479	459	13	r2	r2	NOUN
ejpam-6479	459	14	,	,	PUNCT
ejpam-6479	459	15	w2	w2	NOUN
ejpam-6479	459	16	)	)	PUNCT
ejpam-6479	459	17	)	)	PUNCT
ejpam-6479	459	18	∈	∈	PROPN
ejpam-6479	460	1	[	[	X
ejpam-6479	460	2	0	0	NUM
ejpam-6479	460	3	,	,	PUNCT
ejpam-6479	460	4	1	1	NUM
ejpam-6479	460	5	]	]	PUNCT
ejpam-6479	460	6	.	.	PUNCT
ejpam-6479	461	1	(	(	PUNCT
ejpam-6479	461	2	ii	ii	NOUN
ejpam-6479	461	3	)	)	PUNCT
ejpam-6479	461	4	edge	edge	NOUN
ejpam-6479	461	5	–	–	PUNCT
ejpam-6479	461	6	vertex	vertex	NOUN
ejpam-6479	461	7	consistency	consistency	NOUN
ejpam-6479	461	8	.	.	PUNCT
ejpam-6479	462	1	we	we	PRON
ejpam-6479	462	2	need	need	VERB
ejpam-6479	462	3	ϑe	ϑe	VERB
ejpam-6479	462	4	(	(	PUNCT
ejpam-6479	462	5	(	(	PUNCT
ejpam-6479	462	6	r1	r1	PROPN
ejpam-6479	462	7	,	,	PUNCT
ejpam-6479	462	8	w1	w1	NOUN
ejpam-6479	462	9	)	)	PUNCT
ejpam-6479	462	10	,	,	PUNCT
ejpam-6479	462	11	(	(	PUNCT
ejpam-6479	462	12	r2	r2	NOUN
ejpam-6479	462	13	,	,	PUNCT
ejpam-6479	462	14	w2	w2	NOUN
ejpam-6479	462	15	)	)	PUNCT
ejpam-6479	462	16	)	)	PUNCT
ejpam-6479	462	17	≤	≤	NUM
ejpam-6479	463	1	min{ϑv	min{ϑv	X
ejpam-6479	463	2	(	(	PUNCT
ejpam-6479	463	3	r1	r1	PROPN
ejpam-6479	463	4	,	,	PUNCT
ejpam-6479	463	5	r2	r2	PROPN
ejpam-6479	463	6	)	)	PUNCT
ejpam-6479	463	7	,	,	PUNCT
ejpam-6479	463	8	ϑv	ϑv	ADP
ejpam-6479	463	9	(	(	PUNCT
ejpam-6479	463	10	w1	w1	NOUN
ejpam-6479	463	11	,	,	PUNCT
ejpam-6479	463	12	w2	w2	NOUN
ejpam-6479	463	13	)	)	PUNCT
ejpam-6479	463	14	}	}	PUNCT
ejpam-6479	463	15	.	.	PUNCT
ejpam-6479	464	1	compute	compute	VERB
ejpam-6479	464	2	the	the	DET
ejpam-6479	464	3	left	left	ADJ
ejpam-6479	464	4	-	-	PUNCT
ejpam-6479	464	5	hand	hand	NOUN
ejpam-6479	464	6	side	side	NOUN
ejpam-6479	464	7	:	:	PUNCT
ejpam-6479	464	8	ϑe	ϑe	VERB
ejpam-6479	464	9	(	(	PUNCT
ejpam-6479	464	10	(	(	PUNCT
ejpam-6479	464	11	r1	r1	PROPN
ejpam-6479	464	12	,	,	PUNCT
ejpam-6479	464	13	w1	w1	NOUN
ejpam-6479	464	14	)	)	PUNCT
ejpam-6479	464	15	,	,	PUNCT
ejpam-6479	464	16	(	(	PUNCT
ejpam-6479	464	17	r2	r2	NOUN
ejpam-6479	464	18	,	,	PUNCT
ejpam-6479	464	19	w2	w2	NOUN
ejpam-6479	464	20	)	)	PUNCT
ejpam-6479	464	21	)	)	PUNCT
ejpam-6479	465	1	=	=	SYM
ejpam-6479	465	2	min{ϑe1(r1	min{ϑe1(r1	PROPN
ejpam-6479	465	3	,	,	PUNCT
ejpam-6479	465	4	w1	w1	NOUN
ejpam-6479	465	5	)	)	PUNCT
ejpam-6479	465	6	,	,	PUNCT
ejpam-6479	465	7	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	465	8	,	,	PUNCT
ejpam-6479	465	9	w2	w2	NOUN
ejpam-6479	465	10	)	)	PUNCT
ejpam-6479	465	11	}	}	PUNCT
ejpam-6479	465	12	.	.	PUNCT
ejpam-6479	466	1	each	each	DET
ejpam-6479	466	2	factor	factor	NOUN
ejpam-6479	466	3	satisfies	satisfy	VERB
ejpam-6479	466	4	the	the	DET
ejpam-6479	466	5	efg	efg	NOUN
ejpam-6479	466	6	condition	condition	NOUN
ejpam-6479	466	7	in	in	ADP
ejpam-6479	466	8	its	its	PRON
ejpam-6479	466	9	own	own	ADJ
ejpam-6479	466	10	graph	graph	NOUN
ejpam-6479	466	11	:	:	PUNCT
ejpam-6479	466	12	ϑe1(r1	ϑe1(r1	PROPN
ejpam-6479	466	13	,	,	PUNCT
ejpam-6479	466	14	w1	w1	NOUN
ejpam-6479	466	15	)	)	PUNCT
ejpam-6479	466	16	≤	≤	NOUN
ejpam-6479	466	17	min{ϑv	min{ϑv	ADP
ejpam-6479	466	18	1(r1	1(r1	NUM
ejpam-6479	466	19	)	)	PUNCT
ejpam-6479	466	20	,	,	PUNCT
ejpam-6479	466	21	ϑv	ϑv	ADP
ejpam-6479	466	22	1(w1	1(w1	NUM
ejpam-6479	466	23	)	)	PUNCT
ejpam-6479	466	24	}	}	PUNCT
ejpam-6479	466	25	,	,	PUNCT
ejpam-6479	466	26	ϑe2(r2	ϑe2(r2	NOUN
ejpam-6479	466	27	,	,	PUNCT
ejpam-6479	466	28	w2	w2	NOUN
ejpam-6479	466	29	)	)	PUNCT
ejpam-6479	466	30	≤	≤	NOUN
ejpam-6479	466	31	min{ϑv	min{ϑv	X
ejpam-6479	466	32	2(r2	2(r2	NOUN
ejpam-6479	466	33	)	)	PUNCT
ejpam-6479	466	34	,	,	PUNCT
ejpam-6479	466	35	ϑv	ϑv	ADP
ejpam-6479	466	36	2(w2	2(w2	NUM
ejpam-6479	466	37	)	)	PUNCT
ejpam-6479	466	38	}	}	PUNCT
ejpam-6479	466	39	.	.	PUNCT
ejpam-6479	467	1	therefore	therefore	ADV
ejpam-6479	467	2	min{ϑe1(r1	min{ϑe1(r1	PROPN
ejpam-6479	467	3	,	,	PUNCT
ejpam-6479	467	4	w1	w1	NOUN
ejpam-6479	467	5	)	)	PUNCT
ejpam-6479	467	6	,	,	PUNCT
ejpam-6479	467	7	ϑe2(r2	ϑe2(r2	PROPN
ejpam-6479	467	8	,	,	PUNCT
ejpam-6479	467	9	w2	w2	NOUN
ejpam-6479	467	10	)	)	PUNCT
ejpam-6479	467	11	}	}	PUNCT
ejpam-6479	467	12	≤	≤	NUM
ejpam-6479	467	13	min{min{ϑv	min{min{ϑv	NOUN
ejpam-6479	467	14	1(r1	1(r1	NUM
ejpam-6479	467	15	)	)	PUNCT
ejpam-6479	467	16	,	,	PUNCT
ejpam-6479	467	17	ϑv	ϑv	ADP
ejpam-6479	467	18	1(w1	1(w1	NUM
ejpam-6479	467	19	)	)	PUNCT
ejpam-6479	467	20	}	}	PUNCT
ejpam-6479	467	21	,	,	PUNCT
ejpam-6479	467	22	min{ϑv	min{ϑv	X
ejpam-6479	467	23	2(r2	2(r2	NOUN
ejpam-6479	467	24	)	)	PUNCT
ejpam-6479	467	25	,	,	PUNCT
ejpam-6479	467	26	ϑv	ϑv	ADP
ejpam-6479	467	27	2(w2	2(w2	NUM
ejpam-6479	467	28	)	)	PUNCT
ejpam-6479	467	29	}	}	PUNCT
ejpam-6479	467	30	}	}	PUNCT
ejpam-6479	467	31	.	.	PUNCT
ejpam-6479	468	1	by	by	ADP
ejpam-6479	468	2	definition	definition	NOUN
ejpam-6479	468	3	of	of	ADP
ejpam-6479	468	4	ϑv	ϑv	NOUN
ejpam-6479	468	5	on	on	ADP
ejpam-6479	468	6	the	the	DET
ejpam-6479	468	7	product	product	NOUN
ejpam-6479	468	8	,	,	PUNCT
ejpam-6479	468	9	min{ϑv	min{ϑv	PROPN
ejpam-6479	468	10	1(r1	1(r1	NUM
ejpam-6479	468	11	)	)	PUNCT
ejpam-6479	468	12	,	,	PUNCT
ejpam-6479	468	13	ϑv	ϑv	ADP
ejpam-6479	468	14	2(r2	2(r2	NUM
ejpam-6479	468	15	)	)	PUNCT
ejpam-6479	468	16	}	}	PUNCT
ejpam-6479	468	17	=	=	SYM
ejpam-6479	468	18	ϑv	ϑv	PROPN
ejpam-6479	468	19	(	(	PUNCT
ejpam-6479	468	20	r1	r1	PROPN
ejpam-6479	468	21	,	,	PUNCT
ejpam-6479	468	22	r2	r2	PROPN
ejpam-6479	468	23	)	)	PUNCT
ejpam-6479	468	24	,	,	PUNCT
ejpam-6479	468	25	min{ϑv	min{ϑv	X
ejpam-6479	468	26	1(w1	1(w1	NUM
ejpam-6479	468	27	)	)	PUNCT
ejpam-6479	468	28	,	,	PUNCT
ejpam-6479	468	29	ϑv	ϑv	ADP
ejpam-6479	468	30	2(w2	2(w2	NUM
ejpam-6479	468	31	)	)	PUNCT
ejpam-6479	468	32	}	}	PUNCT
ejpam-6479	468	33	=	=	SYM
ejpam-6479	468	34	ϑv	ϑv	PROPN
ejpam-6479	468	35	(	(	PUNCT
ejpam-6479	468	36	w1	w1	NOUN
ejpam-6479	468	37	,	,	PUNCT
ejpam-6479	468	38	w2	w2	NOUN
ejpam-6479	468	39	)	)	PUNCT
ejpam-6479	468	40	.	.	PUNCT
ejpam-6479	469	1	thus	thus	ADV
ejpam-6479	469	2	ϑe	ϑe	VERB
ejpam-6479	469	3	(	(	PUNCT
ejpam-6479	469	4	(	(	PUNCT
ejpam-6479	469	5	r1	r1	PROPN
ejpam-6479	469	6	,	,	PUNCT
ejpam-6479	469	7	w1	w1	NOUN
ejpam-6479	469	8	)	)	PUNCT
ejpam-6479	469	9	,	,	PUNCT
ejpam-6479	469	10	(	(	PUNCT
ejpam-6479	469	11	r2	r2	NOUN
ejpam-6479	469	12	,	,	PUNCT
ejpam-6479	469	13	w2	w2	NOUN
ejpam-6479	469	14	)	)	PUNCT
ejpam-6479	469	15	)	)	PUNCT
ejpam-6479	469	16	≤	≤	NUM
ejpam-6479	470	1	min{ϑv	min{ϑv	X
ejpam-6479	470	2	(	(	PUNCT
ejpam-6479	470	3	r1	r1	PROPN
ejpam-6479	470	4	,	,	PUNCT
ejpam-6479	470	5	r2	r2	PROPN
ejpam-6479	470	6	)	)	PUNCT
ejpam-6479	470	7	,	,	PUNCT
ejpam-6479	470	8	ϑv	ϑv	ADP
ejpam-6479	470	9	(	(	PUNCT
ejpam-6479	470	10	w1	w1	NOUN
ejpam-6479	470	11	,	,	PUNCT
ejpam-6479	470	12	w2	w2	NOUN
ejpam-6479	470	13	)	)	PUNCT
ejpam-6479	470	14	}	}	PUNCT
ejpam-6479	470	15	,	,	PUNCT
ejpam-6479	470	16	as	as	SCONJ
ejpam-6479	470	17	required	require	VERB
ejpam-6479	470	18	.	.	PUNCT
ejpam-6479	471	1	since	since	SCONJ
ejpam-6479	471	2	both	both	DET
ejpam-6479	471	3	conditions	condition	NOUN
ejpam-6479	471	4	hold	hold	VERB
ejpam-6479	471	5	,	,	PUNCT
ejpam-6479	471	6	g1	g1	PROPN
ejpam-6479	471	7	×	×	PROPN
ejpam-6479	471	8	g2	g2	PROPN
ejpam-6479	471	9	is	be	AUX
ejpam-6479	471	10	an	an	DET
ejpam-6479	471	11	exponential	exponential	ADJ
ejpam-6479	471	12	fuzzy	fuzzy	ADJ
ejpam-6479	471	13	graph	graph	NOUN
ejpam-6479	471	14	.	.	PUNCT
ejpam-6479	472	1	4	4	X
ejpam-6479	472	2	.	.	X
ejpam-6479	472	3	application	application	NOUN
ejpam-6479	472	4	4.1	4.1	NUM
ejpam-6479	472	5	.	.	PUNCT
ejpam-6479	473	1	algorithm	algorithm	NOUN
ejpam-6479	473	2	of	of	ADP
ejpam-6479	473	3	exponential	exponential	ADJ
ejpam-6479	473	4	fuzzy	fuzzy	ADJ
ejpam-6479	473	5	graph	graph	NOUN
ejpam-6479	473	6	step	step	NOUN
ejpam-6479	473	7	1	1	NUM
ejpam-6479	473	8	:	:	PUNCT
ejpam-6479	473	9	assign	assign	VERB
ejpam-6479	473	10	the	the	DET
ejpam-6479	473	11	base	base	NOUN
ejpam-6479	473	12	membership	membership	NOUN
ejpam-6479	473	13	for	for	ADP
ejpam-6479	473	14	vertices	vertex	NOUN
ejpam-6479	473	15	,	,	PUNCT
ejpam-6479	473	16	αv	αv	ADP
ejpam-6479	473	17	(	(	PUNCT
ejpam-6479	473	18	w	w	NOUN
ejpam-6479	473	19	)	)	PUNCT
ejpam-6479	473	20	∈	∈	PROPN
ejpam-6479	474	1	[	[	X
ejpam-6479	474	2	0	0	NUM
ejpam-6479	474	3	,	,	PUNCT
ejpam-6479	474	4	1	1	NUM
ejpam-6479	474	5	]	]	PUNCT
ejpam-6479	474	6	.	.	PUNCT
ejpam-6479	475	1	step	step	NOUN
ejpam-6479	475	2	2	2	NUM
ejpam-6479	475	3	:	:	PUNCT
ejpam-6479	475	4	compute	compute	VERB
ejpam-6479	475	5	the	the	DET
ejpam-6479	475	6	vertex	vertex	NOUN
ejpam-6479	475	7	membership	membership	NOUN
ejpam-6479	475	8	value	value	NOUN
ejpam-6479	475	9	by	by	ADP
ejpam-6479	475	10	using	use	VERB
ejpam-6479	475	11	the	the	DET
ejpam-6479	475	12	efg	efg	NOUN
ejpam-6479	475	13	definition	definition	NOUN
ejpam-6479	475	14	(	(	PUNCT
ejpam-6479	475	15	5	5	NUM
ejpam-6479	475	16	)	)	PUNCT
ejpam-6479	475	17	ϑv	ϑv	NOUN
ejpam-6479	475	18	(	(	PUNCT
ejpam-6479	475	19	w	w	NOUN
ejpam-6479	475	20	)	)	PUNCT
ejpam-6479	475	21	=	=	SYM
ejpam-6479	475	22	αv	αv	X
ejpam-6479	475	23	(	(	PUNCT
ejpam-6479	475	24	w	w	NOUN
ejpam-6479	475	25	)	)	PUNCT
ejpam-6479	475	26	·	·	PUNCT
ejpam-6479	475	27	e−λαv	e−λαv	NOUN
ejpam-6479	475	28	(	(	PUNCT
ejpam-6479	475	29	w	w	NOUN
ejpam-6479	475	30	)	)	PUNCT
ejpam-6479	475	31	.	.	PUNCT
ejpam-6479	476	1	step	step	NOUN
ejpam-6479	476	2	3	3	NUM
ejpam-6479	476	3	:	:	PUNCT
ejpam-6479	476	4	compute	compute	VERB
ejpam-6479	476	5	the	the	DET
ejpam-6479	476	6	edge	edge	NOUN
ejpam-6479	476	7	membership	membership	NOUN
ejpam-6479	476	8	values	value	NOUN
ejpam-6479	476	9	by	by	ADP
ejpam-6479	476	10	satisfying	satisfy	VERB
ejpam-6479	476	11	the	the	DET
ejpam-6479	476	12	condition	condition	NOUN
ejpam-6479	476	13	ϑe(r	ϑe(r	NOUN
ejpam-6479	476	14	,	,	PUNCT
ejpam-6479	476	15	w	w	NOUN
ejpam-6479	476	16	)	)	PUNCT
ejpam-6479	476	17	≤	≤	NUM
ejpam-6479	476	18	min	min	NOUN
ejpam-6479	476	19	{	{	PUNCT
ejpam-6479	476	20	ϑv	ϑv	X
ejpam-6479	476	21	(	(	PUNCT
ejpam-6479	476	22	r	r	NOUN
ejpam-6479	476	23	)	)	PUNCT
ejpam-6479	476	24	,	,	PUNCT
ejpam-6479	476	25	ϑv	ϑv	ADP
ejpam-6479	476	26	(	(	PUNCT
ejpam-6479	476	27	w	w	NOUN
ejpam-6479	476	28	)	)	PUNCT
ejpam-6479	476	29	}	}	PUNCT
ejpam-6479	476	30	,	,	PUNCT
ejpam-6479	476	31	∀r	∀r	NOUN
ejpam-6479	476	32	,	,	PUNCT
ejpam-6479	476	33	w	w	PROPN
ejpam-6479	476	34	∈	∈	PROPN
ejpam-6479	476	35	v.	v.	ADP
ejpam-6479	476	36	step	step	NOUN
ejpam-6479	476	37	4	4	NUM
ejpam-6479	476	38	:	:	PUNCT
ejpam-6479	476	39	construct	construct	VERB
ejpam-6479	476	40	the	the	DET
ejpam-6479	476	41	exponential	exponential	ADJ
ejpam-6479	476	42	fuzzy	fuzzy	ADJ
ejpam-6479	476	43	graph	graph	NOUN
ejpam-6479	476	44	with	with	ADP
ejpam-6479	476	45	the	the	DET
ejpam-6479	476	46	help	help	NOUN
ejpam-6479	476	47	of	of	ADP
ejpam-6479	476	48	vertices	vertex	NOUN
ejpam-6479	476	49	and	and	CCONJ
ejpam-6479	476	50	edges	edge	NOUN
ejpam-6479	476	51	.	.	PUNCT
ejpam-6479	477	1	w.	w.	PROPN
ejpam-6479	477	2	f.	f.	PROPN
ejpam-6479	477	3	al	al	PROPN
ejpam-6479	477	4	-	-	PUNCT
ejpam-6479	477	5	omeri	omeri	PROPN
ejpam-6479	477	6	et	et	PROPN
ejpam-6479	477	7	al	al	PROPN
ejpam-6479	477	8	.	.	PUNCT
ejpam-6479	477	9	/	/	SYM
ejpam-6479	477	10	eur	eur	PROPN
ejpam-6479	477	11	.	.	PUNCT
ejpam-6479	478	1	j.	j.	PROPN
ejpam-6479	478	2	pure	pure	PROPN
ejpam-6479	478	3	appl	appl	PROPN
ejpam-6479	478	4	.	.	PROPN
ejpam-6479	478	5	math	math	PROPN
ejpam-6479	478	6	,	,	PUNCT
ejpam-6479	478	7	18	18	NUM
ejpam-6479	478	8	(	(	PUNCT
ejpam-6479	478	9	3	3	NUM
ejpam-6479	478	10	)	)	PUNCT
ejpam-6479	478	11	(	(	PUNCT
ejpam-6479	478	12	2025	2025	NUM
ejpam-6479	478	13	)	)	PUNCT
ejpam-6479	478	14	,	,	PUNCT
ejpam-6479	478	15	6479	6479	NUM
ejpam-6479	478	16	22	22	NUM
ejpam-6479	478	17	of	of	ADP
ejpam-6479	478	18	28	28	NUM
ejpam-6479	478	19	step	step	NOUN
ejpam-6479	478	20	5	5	NUM
ejpam-6479	478	21	:	:	PUNCT
ejpam-6479	478	22	from	from	ADP
ejpam-6479	478	23	the	the	DET
ejpam-6479	478	24	given	give	VERB
ejpam-6479	478	25	edge	edge	NOUN
ejpam-6479	478	26	membership	membership	NOUN
ejpam-6479	478	27	values	value	NOUN
ejpam-6479	479	1	,	,	PUNCT
ejpam-6479	479	2	we	we	PRON
ejpam-6479	479	3	have	have	VERB
ejpam-6479	479	4	to	to	PART
ejpam-6479	479	5	find	find	VERB
ejpam-6479	479	6	the	the	DET
ejpam-6479	479	7	degree	degree	NOUN
ejpam-6479	479	8	of	of	ADP
ejpam-6479	479	9	vertices	vertex	NOUN
ejpam-6479	479	10	by	by	ADP
ejpam-6479	479	11	using	use	VERB
ejpam-6479	479	12	the	the	DET
ejpam-6479	479	13	definition	definition	NOUN
ejpam-6479	479	14	(	(	PUNCT
ejpam-6479	479	15	6	6	NUM
ejpam-6479	479	16	)	)	PUNCT
ejpam-6479	479	17	degg(w	degg(w	PROPN
ejpam-6479	479	18	)	)	PUNCT
ejpam-6479	479	19	=	=	SYM
ejpam-6479	479	20	∑	∑	PUNCT
ejpam-6479	479	21	u∈v	u∈v	VERB
ejpam-6479	479	22	u̸=v	u̸=v	PROPN
ejpam-6479	479	23	ϑe(v	ϑe(v	NOUN
ejpam-6479	479	24	,	,	PUNCT
ejpam-6479	479	25	u	u	NOUN
ejpam-6479	479	26	)	)	PUNCT
ejpam-6479	479	27	=	=	SYM
ejpam-6479	479	28	∑	∑	PUNCT
ejpam-6479	479	29	u∈v	u∈v	VERB
ejpam-6479	479	30	u̸=v	u̸=v	PROPN
ejpam-6479	479	31	αe(v	αe(v	NOUN
ejpam-6479	479	32	,	,	PUNCT
ejpam-6479	479	33	u	u	NOUN
ejpam-6479	479	34	)	)	PUNCT
ejpam-6479	479	35	·	·	PUNCT
ejpam-6479	480	1	e−λαe(v	e−λαe(v	NUM
ejpam-6479	480	2	,	,	PUNCT
ejpam-6479	480	3	u	u	NOUN
ejpam-6479	480	4	)	)	PUNCT
ejpam-6479	480	5	.	.	PUNCT
ejpam-6479	481	1	step	step	NOUN
ejpam-6479	481	2	6	6	NUM
ejpam-6479	481	3	:	:	PUNCT
ejpam-6479	481	4	use	use	VERB
ejpam-6479	481	5	the	the	DET
ejpam-6479	481	6	computed	compute	VERB
ejpam-6479	481	7	degrees	degree	NOUN
ejpam-6479	481	8	degg(w	degg(w	PROPN
ejpam-6479	481	9	)	)	PUNCT
ejpam-6479	481	10	to	to	PART
ejpam-6479	481	11	rank	rank	NOUN
ejpam-6479	481	12	vertices	vertex	NOUN
ejpam-6479	481	13	.	.	PUNCT
ejpam-6479	482	1	higher	high	ADJ
ejpam-6479	482	2	degree	degree	NOUN
ejpam-6479	482	3	indicates	indicate	VERB
ejpam-6479	482	4	greater	great	ADJ
ejpam-6479	482	5	influence	influence	NOUN
ejpam-6479	482	6	or	or	CCONJ
ejpam-6479	482	7	sensitivity	sensitivity	NOUN
ejpam-6479	482	8	.	.	PUNCT
ejpam-6479	483	1	this	this	DET
ejpam-6479	483	2	ranking	ranking	NOUN
ejpam-6479	483	3	supports	support	VERB
ejpam-6479	483	4	decision	decision	NOUN
ejpam-6479	483	5	-	-	PUNCT
ejpam-6479	483	6	making	make	VERB
ejpam-6479	483	7	processes	process	NOUN
ejpam-6479	483	8	,	,	PUNCT
ejpam-6479	483	9	such	such	ADJ
ejpam-6479	483	10	as	as	ADP
ejpam-6479	483	11	identifying	identify	VERB
ejpam-6479	483	12	critical	critical	ADJ
ejpam-6479	483	13	pollution	pollution	NOUN
ejpam-6479	483	14	indicators	indicator	NOUN
ejpam-6479	483	15	or	or	CCONJ
ejpam-6479	483	16	prioritizing	prioritize	VERB
ejpam-6479	483	17	interventions	intervention	NOUN
ejpam-6479	483	18	.	.	PUNCT
ejpam-6479	484	1	4.2	4.2	NUM
ejpam-6479	484	2	.	.	PUNCT
ejpam-6479	484	3	pollution	pollution	NOUN
ejpam-6479	484	4	impact	impact	NOUN
ejpam-6479	484	5	analysis	analysis	NOUN
ejpam-6479	484	6	for	for	ADP
ejpam-6479	484	7	decision	decision	NOUN
ejpam-6479	484	8	-	-	PUNCT
ejpam-6479	484	9	making	make	VERB
ejpam-6479	484	10	environmental	environmental	ADJ
ejpam-6479	484	11	pollution	pollution	NOUN
ejpam-6479	484	12	has	have	AUX
ejpam-6479	484	13	turned	turn	VERB
ejpam-6479	484	14	into	into	ADP
ejpam-6479	484	15	a	a	DET
ejpam-6479	484	16	serious	serious	ADJ
ejpam-6479	484	17	worldwide	worldwide	ADJ
ejpam-6479	484	18	problem	problem	NOUN
ejpam-6479	484	19	because	because	SCONJ
ejpam-6479	484	20	it	it	PRON
ejpam-6479	484	21	greatly	greatly	ADV
ejpam-6479	484	22	affects	affect	VERB
ejpam-6479	484	23	the	the	DET
ejpam-6479	484	24	health	health	NOUN
ejpam-6479	484	25	of	of	ADP
ejpam-6479	484	26	both	both	DET
ejpam-6479	484	27	ecosystems	ecosystem	NOUN
ejpam-6479	484	28	and	and	CCONJ
ejpam-6479	484	29	natural	natural	ADJ
ejpam-6479	484	30	resources	resource	NOUN
ejpam-6479	484	31	.	.	PUNCT
ejpam-6479	485	1	contaminated	contaminate	VERB
ejpam-6479	485	2	water	water	NOUN
ejpam-6479	485	3	from	from	ADP
ejpam-6479	485	4	sewage	sewage	NOUN
ejpam-6479	485	5	,	,	PUNCT
ejpam-6479	485	6	industry	industry	NOUN
ejpam-6479	485	7	and	and	CCONJ
ejpam-6479	485	8	agriculture	agriculture	NOUN
ejpam-6479	485	9	is	be	AUX
ejpam-6479	485	10	causing	cause	VERB
ejpam-6479	485	11	water	water	NOUN
ejpam-6479	485	12	quality	quality	NOUN
ejpam-6479	485	13	to	to	PART
ejpam-6479	485	14	rapidly	rapidly	ADV
ejpam-6479	485	15	decrease	decrease	VERB
ejpam-6479	485	16	,	,	PUNCT
ejpam-6479	485	17	putting	put	VERB
ejpam-6479	485	18	sensitive	sensitive	ADJ
ejpam-6479	485	19	aquatic	aquatic	ADJ
ejpam-6479	485	20	life	life	NOUN
ejpam-6479	485	21	and	and	CCONJ
ejpam-6479	485	22	water	water	NOUN
ejpam-6479	485	23	safety	safety	NOUN
ejpam-6479	485	24	at	at	ADP
ejpam-6479	485	25	risk	risk	NOUN
ejpam-6479	485	26	.	.	PUNCT
ejpam-6479	486	1	air	air	NOUN
ejpam-6479	486	2	pollution	pollution	NOUN
ejpam-6479	486	3	is	be	AUX
ejpam-6479	486	4	increased	increase	VERB
ejpam-6479	486	5	by	by	ADP
ejpam-6479	486	6	emissions	emission	NOUN
ejpam-6479	486	7	from	from	ADP
ejpam-6479	486	8	industry	industry	NOUN
ejpam-6479	486	9	,	,	PUNCT
ejpam-6479	486	10	exhaust	exhaust	NOUN
ejpam-6479	486	11	fumes	fume	NOUN
ejpam-6479	486	12	from	from	ADP
ejpam-6479	486	13	vehicles	vehicle	NOUN
ejpam-6479	486	14	and	and	CCONJ
ejpam-6479	486	15	the	the	DET
ejpam-6479	486	16	burning	burning	NOUN
ejpam-6479	486	17	of	of	ADP
ejpam-6479	486	18	fossil	fossil	ADJ
ejpam-6479	486	19	fuels	fuel	NOUN
ejpam-6479	486	20	.	.	PUNCT
ejpam-6479	487	1	this	this	PRON
ejpam-6479	487	2	contributes	contribute	VERB
ejpam-6479	487	3	to	to	ADP
ejpam-6479	487	4	global	global	ADJ
ejpam-6479	487	5	warming	warming	NOUN
ejpam-6479	487	6	and	and	CCONJ
ejpam-6479	487	7	can	can	AUX
ejpam-6479	487	8	lead	lead	VERB
ejpam-6479	487	9	to	to	ADP
ejpam-6479	487	10	poor	poor	ADJ
ejpam-6479	487	11	air	air	NOUN
ejpam-6479	487	12	quality	quality	NOUN
ejpam-6479	487	13	and	and	CCONJ
ejpam-6479	487	14	can	can	AUX
ejpam-6479	487	15	cause	cause	VERB
ejpam-6479	487	16	lung	lung	NOUN
ejpam-6479	487	17	diseases	disease	NOUN
ejpam-6479	487	18	.	.	PUNCT
ejpam-6479	488	1	inappropriate	inappropriate	ADJ
ejpam-6479	488	2	disposal	disposal	NOUN
ejpam-6479	488	3	of	of	ADP
ejpam-6479	488	4	waste	waste	NOUN
ejpam-6479	488	5	and	and	CCONJ
ejpam-6479	488	6	using	use	VERB
ejpam-6479	488	7	too	too	ADV
ejpam-6479	488	8	many	many	ADJ
ejpam-6479	488	9	chemicals	chemical	NOUN
ejpam-6479	488	10	as	as	ADP
ejpam-6479	488	11	fertilizers	fertilizer	NOUN
ejpam-6479	488	12	and	and	CCONJ
ejpam-6479	488	13	pesticides	pesticide	NOUN
ejpam-6479	488	14	harm	harm	VERB
ejpam-6479	488	15	the	the	DET
ejpam-6479	488	16	soil	soil	NOUN
ejpam-6479	488	17	and	and	CCONJ
ejpam-6479	488	18	can	can	AUX
ejpam-6479	488	19	also	also	ADV
ejpam-6479	488	20	make	make	VERB
ejpam-6479	488	21	the	the	DET
ejpam-6479	488	22	food	food	NOUN
ejpam-6479	488	23	unsafe	unsafe	ADJ
ejpam-6479	488	24	to	to	PART
ejpam-6479	488	25	consume	consume	VERB
ejpam-6479	488	26	.	.	PUNCT
ejpam-6479	489	1	due	due	ADP
ejpam-6479	489	2	to	to	ADP
ejpam-6479	489	3	pollutants	pollutant	NOUN
ejpam-6479	489	4	,	,	PUNCT
ejpam-6479	489	5	dams	dam	NOUN
ejpam-6479	489	6	and	and	CCONJ
ejpam-6479	489	7	growth	growth	NOUN
ejpam-6479	489	8	near	near	ADP
ejpam-6479	489	9	river	river	NOUN
ejpam-6479	489	10	banks	bank	NOUN
ejpam-6479	489	11	,	,	PUNCT
ejpam-6479	489	12	river	river	NOUN
ejpam-6479	489	13	ecosystems	ecosystem	NOUN
ejpam-6479	489	14	are	be	AUX
ejpam-6479	489	15	becoming	become	VERB
ejpam-6479	489	16	more	more	ADV
ejpam-6479	489	17	at	at	ADP
ejpam-6479	489	18	risk	risk	NOUN
ejpam-6479	489	19	and	and	CCONJ
ejpam-6479	489	20	freshwater	freshwater	NOUN
ejpam-6479	489	21	species	specie	NOUN
ejpam-6479	489	22	are	be	AUX
ejpam-6479	489	23	being	be	AUX
ejpam-6479	489	24	driven	drive	VERB
ejpam-6479	489	25	to	to	ADP
ejpam-6479	489	26	extinction	extinction	NOUN
ejpam-6479	489	27	.	.	PUNCT
ejpam-6479	490	1	as	as	ADP
ejpam-6479	490	2	logging	log	VERB
ejpam-6479	490	3	,	,	PUNCT
ejpam-6479	490	4	cities	city	NOUN
ejpam-6479	490	5	and	and	CCONJ
ejpam-6479	490	6	farms	farm	NOUN
ejpam-6479	490	7	remove	remove	VERB
ejpam-6479	490	8	trees	tree	NOUN
ejpam-6479	490	9	,	,	PUNCT
ejpam-6479	490	10	the	the	DET
ejpam-6479	490	11	animals	animal	NOUN
ejpam-6479	490	12	lose	lose	VERB
ejpam-6479	490	13	places	place	NOUN
ejpam-6479	490	14	to	to	PART
ejpam-6479	490	15	live	live	VERB
ejpam-6479	490	16	and	and	CCONJ
ejpam-6479	490	17	more	more	ADJ
ejpam-6479	490	18	carbon	carbon	NOUN
ejpam-6479	490	19	is	be	AUX
ejpam-6479	490	20	released	release	VERB
ejpam-6479	490	21	into	into	ADP
ejpam-6479	490	22	the	the	DET
ejpam-6479	490	23	atmosphere	atmosphere	NOUN
ejpam-6479	490	24	.	.	PUNCT
ejpam-6479	491	1	several	several	ADJ
ejpam-6479	491	2	kinds	kind	NOUN
ejpam-6479	491	3	of	of	ADP
ejpam-6479	491	4	plant	plant	NOUN
ejpam-6479	491	5	and	and	CCONJ
ejpam-6479	491	6	animal	animal	NOUN
ejpam-6479	491	7	species	specie	NOUN
ejpam-6479	491	8	may	may	AUX
ejpam-6479	491	9	go	go	VERB
ejpam-6479	491	10	extinct	extinct	ADJ
ejpam-6479	491	11	because	because	SCONJ
ejpam-6479	491	12	of	of	ADP
ejpam-6479	491	13	the	the	DET
ejpam-6479	491	14	effects	effect	NOUN
ejpam-6479	491	15	of	of	ADP
ejpam-6479	491	16	pollution	pollution	NOUN
ejpam-6479	491	17	,	,	PUNCT
ejpam-6479	491	18	environmental	environmental	ADJ
ejpam-6479	491	19	damage	damage	NOUN
ejpam-6479	491	20	and	and	CCONJ
ejpam-6479	491	21	climate	climate	NOUN
ejpam-6479	491	22	change	change	NOUN
ejpam-6479	491	23	on	on	ADP
ejpam-6479	491	24	biodiversity	biodiversity	NOUN
ejpam-6479	491	25	.	.	PUNCT
ejpam-6479	492	1	environmental	environmental	ADJ
ejpam-6479	492	2	indicators	indicator	NOUN
ejpam-6479	492	3	like	like	ADP
ejpam-6479	492	4	air	air	NOUN
ejpam-6479	492	5	pollution	pollution	NOUN
ejpam-6479	492	6	,	,	PUNCT
ejpam-6479	492	7	forest	forest	NOUN
ejpam-6479	492	8	areas	area	NOUN
ejpam-6479	492	9	,	,	PUNCT
ejpam-6479	492	10	types	type	NOUN
ejpam-6479	492	11	of	of	ADP
ejpam-6479	492	12	contaminants	contaminant	NOUN
ejpam-6479	492	13	,	,	PUNCT
ejpam-6479	492	14	river	river	NOUN
ejpam-6479	492	15	health	health	NOUN
ejpam-6479	492	16	,	,	PUNCT
ejpam-6479	492	17	water	water	NOUN
ejpam-6479	492	18	quality	quality	NOUN
ejpam-6479	492	19	and	and	CCONJ
ejpam-6479	492	20	level	level	NOUN
ejpam-6479	492	21	of	of	ADP
ejpam-6479	492	22	biodiversity	biodiversity	NOUN
ejpam-6479	492	23	show	show	VERB
ejpam-6479	492	24	a	a	DET
ejpam-6479	492	25	series	series	NOUN
ejpam-6479	492	26	of	of	ADP
ejpam-6479	492	27	strong	strong	ADJ
ejpam-6479	492	28	and	and	CCONJ
ejpam-6479	492	29	uncertain	uncertain	ADJ
ejpam-6479	492	30	associations	association	NOUN
ejpam-6479	492	31	.	.	PUNCT
ejpam-6479	493	1	the	the	DET
ejpam-6479	493	2	exponential	exponential	ADJ
ejpam-6479	493	3	fuzzy	fuzzy	ADJ
ejpam-6479	493	4	graph	graph	NOUN
ejpam-6479	493	5	model	model	NOUN
ejpam-6479	493	6	is	be	AUX
ejpam-6479	493	7	strong	strong	ADJ
ejpam-6479	493	8	in	in	ADP
ejpam-6479	493	9	capturing	capture	VERB
ejpam-6479	493	10	uncertainties	uncertainty	NOUN
ejpam-6479	493	11	and	and	CCONJ
ejpam-6479	493	12	the	the	DET
ejpam-6479	493	13	weakening	weaken	VERB
ejpam-6479	493	14	influence	influence	NOUN
ejpam-6479	493	15	of	of	ADP
ejpam-6479	493	16	different	different	ADJ
ejpam-6479	493	17	environmental	environmental	ADJ
ejpam-6479	493	18	elements	element	NOUN
ejpam-6479	493	19	.	.	PUNCT
ejpam-6479	494	1	4.3	4.3	NUM
ejpam-6479	494	2	.	.	PUNCT
ejpam-6479	495	1	problem	problem	NOUN
ejpam-6479	495	2	description	description	NOUN
ejpam-6479	495	3	let	let	VERB
ejpam-6479	495	4	the	the	DET
ejpam-6479	495	5	set	set	NOUN
ejpam-6479	495	6	of	of	ADP
ejpam-6479	495	7	environmental	environmental	ADJ
ejpam-6479	495	8	factors	factor	NOUN
ejpam-6479	495	9	be	be	VERB
ejpam-6479	495	10	water	water	NOUN
ejpam-6479	495	11	quality	quality	NOUN
ejpam-6479	495	12	(	(	PUNCT
ejpam-6479	495	13	w	w	NOUN
ejpam-6479	495	14	)	)	PUNCT
ejpam-6479	495	15	,	,	PUNCT
ejpam-6479	495	16	air	air	NOUN
ejpam-6479	495	17	quality	quality	NOUN
ejpam-6479	495	18	(	(	PUNCT
ejpam-6479	495	19	a	a	NOUN
ejpam-6479	495	20	)	)	PUNCT
ejpam-6479	495	21	,	,	PUNCT
ejpam-6479	495	22	soil	soil	NOUN
ejpam-6479	495	23	contamination	contamination	NOUN
ejpam-6479	495	24	(	(	PUNCT
ejpam-6479	495	25	s	s	NOUN
ejpam-6479	495	26	)	)	PUNCT
ejpam-6479	495	27	,	,	PUNCT
ejpam-6479	495	28	river	river	NOUN
ejpam-6479	495	29	ecosystem	ecosystem	NOUN
ejpam-6479	495	30	(	(	PUNCT
ejpam-6479	495	31	r	r	NOUN
ejpam-6479	495	32	)	)	PUNCT
ejpam-6479	495	33	,	,	PUNCT
ejpam-6479	495	34	forest	forest	NOUN
ejpam-6479	495	35	length	length	NOUN
ejpam-6479	495	36	(	(	PUNCT
ejpam-6479	495	37	f	f	X
ejpam-6479	495	38	)	)	PUNCT
ejpam-6479	495	39	and	and	CCONJ
ejpam-6479	495	40	bio	bio	PROPN
ejpam-6479	495	41	diversity	diversity	NOUN
ejpam-6479	495	42	(	(	PUNCT
ejpam-6479	495	43	b	b	NOUN
ejpam-6479	495	44	)	)	PUNCT
ejpam-6479	495	45	.	.	PUNCT
ejpam-6479	496	1	the	the	DET
ejpam-6479	496	2	vertex	vertex	NOUN
ejpam-6479	496	3	membership	membership	NOUN
ejpam-6479	496	4	function	function	NOUN
ejpam-6479	496	5	is	be	AUX
ejpam-6479	496	6	defined	define	VERB
ejpam-6479	496	7	by	by	ADP
ejpam-6479	496	8	ϑv	ϑv	NOUN
ejpam-6479	496	9	(	(	PUNCT
ejpam-6479	496	10	w	w	NOUN
ejpam-6479	496	11	)	)	PUNCT
ejpam-6479	496	12	=	=	SYM
ejpam-6479	496	13	αv	αv	X
ejpam-6479	496	14	(	(	PUNCT
ejpam-6479	496	15	w)e	w)e	X
ejpam-6479	496	16	λv	λv	X
ejpam-6479	496	17	(	(	PUNCT
ejpam-6479	496	18	w	w	NOUN
ejpam-6479	496	19	)	)	PUNCT
ejpam-6479	496	20	and	and	CCONJ
ejpam-6479	496	21	λ	λ	X
ejpam-6479	496	22	=	=	NOUN
ejpam-6479	497	1	1	1	X
ejpam-6479	497	2	.	.	PUNCT
ejpam-6479	498	1	the	the	DET
ejpam-6479	498	2	membership	membership	NOUN
ejpam-6479	498	3	value	value	NOUN
ejpam-6479	498	4	for	for	ADP
ejpam-6479	498	5	each	each	DET
ejpam-6479	498	6	vertices	vertex	NOUN
ejpam-6479	498	7	is	be	AUX
ejpam-6479	498	8	ϑv	ϑv	NOUN
ejpam-6479	498	9	(	(	PUNCT
ejpam-6479	498	10	w	w	NOUN
ejpam-6479	498	11	)	)	PUNCT
ejpam-6479	498	12	=	=	SYM
ejpam-6479	498	13	0.7e−1(0.7	0.7e−1(0.7	NOUN
ejpam-6479	498	14	)	)	PUNCT
ejpam-6479	498	15	=	=	SYM
ejpam-6479	498	16	0.3476	0.3476	NUM
ejpam-6479	498	17	,	,	PUNCT
ejpam-6479	498	18	ϑv	ϑv	ADP
ejpam-6479	498	19	(	(	PUNCT
ejpam-6479	498	20	a	a	X
ejpam-6479	498	21	)	)	PUNCT
ejpam-6479	498	22	=	=	SYM
ejpam-6479	498	23	0.8e−1(0.8	0.8e−1(0.8	NUM
ejpam-6479	498	24	)	)	PUNCT
ejpam-6479	498	25	=	=	SYM
ejpam-6479	498	26	0.3594	0.3594	NUM
ejpam-6479	498	27	,	,	PUNCT
ejpam-6479	498	28	ϑv	ϑv	X
ejpam-6479	498	29	(	(	PUNCT
ejpam-6479	498	30	s	s	X
ejpam-6479	498	31	)	)	PUNCT
ejpam-6479	498	32	=	=	SYM
ejpam-6479	498	33	0.4e−1(0.4	0.4e−1(0.4	NUM
ejpam-6479	498	34	)	)	PUNCT
ejpam-6479	498	35	=	=	SYM
ejpam-6479	499	1	0.2681	0.2681	NUM
ejpam-6479	499	2	,	,	PUNCT
ejpam-6479	499	3	ϑv	ϑv	ADP
ejpam-6479	499	4	(	(	PUNCT
ejpam-6479	499	5	r	r	NOUN
ejpam-6479	499	6	)	)	PUNCT
ejpam-6479	499	7	=	=	NOUN
ejpam-6479	499	8	0.6e−1(0.6	0.6e−1(0.6	NOUN
ejpam-6479	499	9	)	)	PUNCT
ejpam-6479	499	10	=	=	SYM
ejpam-6479	500	1	0.3292	0.3292	NUM
ejpam-6479	500	2	,	,	PUNCT
ejpam-6479	500	3	ϑv	ϑv	ADP
ejpam-6479	500	4	(	(	PUNCT
ejpam-6479	500	5	f	f	X
ejpam-6479	500	6	)	)	PUNCT
ejpam-6479	500	7	=	=	PUNCT
ejpam-6479	501	1	0.5e−1(0.5	0.5e−1(0.5	X
ejpam-6479	501	2	)	)	PUNCT
ejpam-6479	501	3	=	=	PUNCT
ejpam-6479	502	1	0.3032	0.3032	NUM
ejpam-6479	502	2	and	and	CCONJ
ejpam-6479	502	3	ϑv	ϑv	X
ejpam-6479	502	4	(	(	PUNCT
ejpam-6479	502	5	b	b	X
ejpam-6479	502	6	)	)	PUNCT
ejpam-6479	502	7	=	=	SYM
ejpam-6479	502	8	0.3e−1(0.3	0.3e−1(0.3	NUM
ejpam-6479	502	9	)	)	PUNCT
ejpam-6479	503	1	=	=	SYM
ejpam-6479	503	2	0.2222	0.2222	NUM
ejpam-6479	503	3	.	.	PUNCT
ejpam-6479	504	1	the	the	DET
ejpam-6479	504	2	edge	edge	NOUN
ejpam-6479	504	3	membership	membership	NOUN
ejpam-6479	504	4	function	function	NOUN
ejpam-6479	504	5	is	be	AUX
ejpam-6479	504	6	defined	define	VERB
ejpam-6479	504	7	by	by	ADP
ejpam-6479	504	8	ϑe(r	ϑe(r	NOUN
ejpam-6479	504	9	,	,	PUNCT
ejpam-6479	504	10	w	w	NOUN
ejpam-6479	504	11	)	)	PUNCT
ejpam-6479	504	12	≤	≤	NUM
ejpam-6479	504	13	min	min	NOUN
ejpam-6479	504	14	{	{	PUNCT
ejpam-6479	504	15	ϑv	ϑv	X
ejpam-6479	504	16	(	(	PUNCT
ejpam-6479	504	17	r	r	NOUN
ejpam-6479	504	18	)	)	PUNCT
ejpam-6479	504	19	,	,	PUNCT
ejpam-6479	504	20	ϑv	ϑv	ADP
ejpam-6479	504	21	(	(	PUNCT
ejpam-6479	504	22	w	w	NOUN
ejpam-6479	504	23	)	)	PUNCT
ejpam-6479	504	24	}	}	PUNCT
ejpam-6479	504	25	w.	w.	PROPN
ejpam-6479	504	26	f.	f.	PROPN
ejpam-6479	504	27	al	al	PROPN
ejpam-6479	504	28	-	-	PUNCT
ejpam-6479	504	29	omeri	omeri	PROPN
ejpam-6479	504	30	et	et	PROPN
ejpam-6479	504	31	al	al	PROPN
ejpam-6479	504	32	.	.	PUNCT
ejpam-6479	504	33	/	/	SYM
ejpam-6479	504	34	eur	eur	PROPN
ejpam-6479	504	35	.	.	PUNCT
ejpam-6479	505	1	j.	j.	PROPN
ejpam-6479	505	2	pure	pure	PROPN
ejpam-6479	505	3	appl	appl	PROPN
ejpam-6479	505	4	.	.	PROPN
ejpam-6479	505	5	math	math	PROPN
ejpam-6479	505	6	,	,	PUNCT
ejpam-6479	505	7	18	18	NUM
ejpam-6479	505	8	(	(	PUNCT
ejpam-6479	505	9	3	3	NUM
ejpam-6479	505	10	)	)	PUNCT
ejpam-6479	505	11	(	(	PUNCT
ejpam-6479	505	12	2025	2025	NUM
ejpam-6479	505	13	)	)	PUNCT
ejpam-6479	505	14	,	,	PUNCT
ejpam-6479	505	15	6479	6479	NUM
ejpam-6479	505	16	23	23	NUM
ejpam-6479	505	17	of	of	ADP
ejpam-6479	505	18	28	28	NUM
ejpam-6479	505	19	the	the	DET
ejpam-6479	505	20	membership	membership	NOUN
ejpam-6479	505	21	value	value	NOUN
ejpam-6479	505	22	for	for	ADP
ejpam-6479	505	23	each	each	DET
ejpam-6479	505	24	edge	edge	NOUN
ejpam-6479	505	25	is	be	AUX
ejpam-6479	505	26	ϑe(a	ϑe(a	NOUN
ejpam-6479	505	27	,	,	PUNCT
ejpam-6479	505	28	f	f	X
ejpam-6479	505	29	)	)	PUNCT
ejpam-6479	505	30	=	=	SYM
ejpam-6479	505	31	0.3476	0.3476	NUM
ejpam-6479	505	32	,	,	PUNCT
ejpam-6479	505	33	ϑe(a	ϑe(a	X
ejpam-6479	505	34	,	,	PUNCT
ejpam-6479	505	35	s	s	PART
ejpam-6479	505	36	)	)	PUNCT
ejpam-6479	505	37	=	=	SYM
ejpam-6479	505	38	0.2681	0.2681	NUM
ejpam-6479	505	39	,	,	PUNCT
ejpam-6479	505	40	ϑe(a	ϑe(a	NOUN
ejpam-6479	505	41	,	,	PUNCT
ejpam-6479	505	42	r	r	NOUN
ejpam-6479	505	43	)	)	PUNCT
ejpam-6479	505	44	=	=	SYM
ejpam-6479	505	45	0.3292	0.3292	NUM
ejpam-6479	505	46	,	,	PUNCT
ejpam-6479	505	47	ϑe(a	ϑe(a	ADJ
ejpam-6479	505	48	,	,	PUNCT
ejpam-6479	505	49	w	w	NOUN
ejpam-6479	505	50	)	)	PUNCT
ejpam-6479	505	51	=	=	SYM
ejpam-6479	505	52	0.3032	0.3032	NUM
ejpam-6479	505	53	,	,	PUNCT
ejpam-6479	505	54	ϑe(a	ϑe(a	X
ejpam-6479	505	55	,	,	PUNCT
ejpam-6479	505	56	b	b	NOUN
ejpam-6479	505	57	)	)	PUNCT
ejpam-6479	505	58	=	=	SYM
ejpam-6479	505	59	0.2222	0.2222	NUM
ejpam-6479	505	60	,	,	PUNCT
ejpam-6479	505	61	ϑe(f	ϑe(f	X
ejpam-6479	505	62	,	,	PUNCT
ejpam-6479	505	63	s	s	PART
ejpam-6479	505	64	)	)	PUNCT
ejpam-6479	505	65	=	=	SYM
ejpam-6479	505	66	0.2681	0.2681	NUM
ejpam-6479	505	67	,	,	PUNCT
ejpam-6479	505	68	ϑe(f	ϑe(f	X
ejpam-6479	505	69	,	,	PUNCT
ejpam-6479	505	70	r	r	NOUN
ejpam-6479	505	71	)	)	PUNCT
ejpam-6479	505	72	=	=	SYM
ejpam-6479	505	73	0.3292	0.3292	NUM
ejpam-6479	505	74	,	,	PUNCT
ejpam-6479	505	75	ϑe(f	ϑe(f	X
ejpam-6479	505	76	,	,	PUNCT
ejpam-6479	505	77	w	w	NOUN
ejpam-6479	505	78	)	)	PUNCT
ejpam-6479	505	79	=	=	SYM
ejpam-6479	505	80	0.3032	0.3032	NUM
ejpam-6479	505	81	,	,	PUNCT
ejpam-6479	505	82	ϑe(f	ϑe(f	X
ejpam-6479	505	83	,	,	PUNCT
ejpam-6479	505	84	b	b	NOUN
ejpam-6479	505	85	)	)	PUNCT
ejpam-6479	505	86	=	=	SYM
ejpam-6479	505	87	0.2222	0.2222	NUM
ejpam-6479	505	88	,	,	PUNCT
ejpam-6479	505	89	ϑe(s	ϑe(s	X
ejpam-6479	505	90	,	,	PUNCT
ejpam-6479	505	91	r	r	NOUN
ejpam-6479	505	92	)	)	PUNCT
ejpam-6479	505	93	=	=	SYM
ejpam-6479	505	94	0.2681	0.2681	NUM
ejpam-6479	505	95	,	,	PUNCT
ejpam-6479	505	96	ϑe(s	ϑe(s	X
ejpam-6479	505	97	,	,	PUNCT
ejpam-6479	505	98	w	w	NOUN
ejpam-6479	505	99	)	)	PUNCT
ejpam-6479	506	1	=	=	SYM
ejpam-6479	506	2	0.2681	0.2681	NUM
ejpam-6479	506	3	,	,	PUNCT
ejpam-6479	506	4	ϑe(s	ϑe(s	ADJ
ejpam-6479	506	5	,	,	PUNCT
ejpam-6479	506	6	b	b	NOUN
ejpam-6479	506	7	)	)	PUNCT
ejpam-6479	506	8	=	=	SYM
ejpam-6479	506	9	0.2222	0.2222	NUM
ejpam-6479	506	10	,	,	PUNCT
ejpam-6479	506	11	ϑe(r	ϑe(r	X
ejpam-6479	506	12	,	,	PUNCT
ejpam-6479	506	13	w	w	NOUN
ejpam-6479	506	14	)	)	PUNCT
ejpam-6479	506	15	=	=	SYM
ejpam-6479	506	16	0.3032	0.3032	NUM
ejpam-6479	506	17	,	,	PUNCT
ejpam-6479	506	18	ϑe(r	ϑe(r	X
ejpam-6479	506	19	,	,	PUNCT
ejpam-6479	506	20	b	b	NOUN
ejpam-6479	506	21	)	)	PUNCT
ejpam-6479	506	22	=	=	SYM
ejpam-6479	506	23	0.2222	0.2222	NUM
ejpam-6479	506	24	,	,	PUNCT
ejpam-6479	506	25	ϑe(w	ϑe(w	NOUN
ejpam-6479	506	26	,	,	PUNCT
ejpam-6479	506	27	b	b	NOUN
ejpam-6479	506	28	)	)	PUNCT
ejpam-6479	506	29	=	=	SYM
ejpam-6479	506	30	0.2222	0.2222	NUM
ejpam-6479	506	31	,	,	PUNCT
ejpam-6479	506	32	which	which	PRON
ejpam-6479	506	33	is	be	AUX
ejpam-6479	506	34	shown	show	VERB
ejpam-6479	506	35	in	in	ADP
ejpam-6479	506	36	the	the	DET
ejpam-6479	506	37	figure	figure	NOUN
ejpam-6479	506	38	11	11	NUM
ejpam-6479	506	39	figure	figure	NOUN
ejpam-6479	506	40	11	11	NUM
ejpam-6479	506	41	:	:	PUNCT
ejpam-6479	506	42	fuzzy	fuzzy	ADJ
ejpam-6479	506	43	graph	graph	NOUN
ejpam-6479	506	44	the	the	DET
ejpam-6479	506	45	exponential	exponential	ADJ
ejpam-6479	506	46	fuzzy	fuzzy	ADJ
ejpam-6479	506	47	graph	graph	NOUN
ejpam-6479	506	48	in	in	ADP
ejpam-6479	506	49	the	the	DET
ejpam-6479	506	50	application	application	NOUN
ejpam-6479	506	51	has	have	VERB
ejpam-6479	506	52	an	an	DET
ejpam-6479	506	53	indicator	indicator	NOUN
ejpam-6479	506	54	at	at	ADP
ejpam-6479	506	55	each	each	DET
ejpam-6479	506	56	vertex	vertex	NOUN
ejpam-6479	506	57	and	and	CCONJ
ejpam-6479	506	58	edges	edge	NOUN
ejpam-6479	506	59	show	show	VERB
ejpam-6479	506	60	the	the	DET
ejpam-6479	506	61	fuzzy	fuzzy	ADJ
ejpam-6479	506	62	relationships	relationship	NOUN
ejpam-6479	506	63	among	among	ADP
ejpam-6479	506	64	these	these	DET
ejpam-6479	506	65	indicators	indicator	NOUN
ejpam-6479	506	66	.	.	PUNCT
ejpam-6479	507	1	each	each	DET
ejpam-6479	507	2	edge	edge	NOUN
ejpam-6479	507	3	membership	membership	NOUN
ejpam-6479	507	4	function	function	NOUN
ejpam-6479	507	5	changes	change	NOUN
ejpam-6479	507	6	exponentially	exponentially	ADV
ejpam-6479	507	7	,	,	PUNCT
ejpam-6479	507	8	which	which	PRON
ejpam-6479	507	9	means	mean	VERB
ejpam-6479	507	10	that	that	SCONJ
ejpam-6479	507	11	the	the	DET
ejpam-6479	507	12	influence	influence	NOUN
ejpam-6479	507	13	linked	link	VERB
ejpam-6479	507	14	to	to	ADP
ejpam-6479	507	15	it	it	PRON
ejpam-6479	507	16	decreases	decrease	VERB
ejpam-6479	507	17	as	as	SCONJ
ejpam-6479	507	18	we	we	PRON
ejpam-6479	507	19	face	face	VERB
ejpam-6479	507	20	greater	great	ADJ
ejpam-6479	507	21	uncertainty	uncertainty	NOUN
ejpam-6479	507	22	or	or	CCONJ
ejpam-6479	507	23	lower	low	ADJ
ejpam-6479	507	24	levels	level	NOUN
ejpam-6479	507	25	of	of	ADP
ejpam-6479	507	26	resistance	resistance	NOUN
ejpam-6479	507	27	or	or	CCONJ
ejpam-6479	507	28	intensity	intensity	NOUN
ejpam-6479	507	29	factor	factor	NOUN
ejpam-6479	507	30	λ	λ	PROPN
ejpam-6479	507	31	(	(	PUNCT
ejpam-6479	507	32	intensity	intensity	NOUN
ejpam-6479	507	33	or	or	CCONJ
ejpam-6479	507	34	resistance	resistance	NOUN
ejpam-6479	507	35	factor	factor	NOUN
ejpam-6479	507	36	)	)	PUNCT
ejpam-6479	507	37	.	.	PUNCT
ejpam-6479	508	1	vertex	vertex	NOUN
ejpam-6479	508	2	membership	membership	NOUN
ejpam-6479	508	3	λ	λ	NOUN
ejpam-6479	508	4	=	=	SYM
ejpam-6479	508	5	1	1	NUM
ejpam-6479	508	6	membership	membership	NOUN
ejpam-6479	508	7	λ	λ	NOUN
ejpam-6479	508	8	=	=	SYM
ejpam-6479	508	9	2	2	NUM
ejpam-6479	508	10	membership	membership	NOUN
ejpam-6479	508	11	λ	λ	NOUN
ejpam-6479	508	12	=	=	SYM
ejpam-6479	508	13	3	3	NUM
ejpam-6479	508	14	membership	membership	NOUN
ejpam-6479	508	15	λ	λ	NOUN
ejpam-6479	508	16	=	=	SYM
ejpam-6479	508	17	4	4	NUM
ejpam-6479	508	18	a(0.7	a(0.7	NOUN
ejpam-6479	508	19	)	)	PUNCT
ejpam-6479	508	20	0.3476	0.3476	NUM
ejpam-6479	508	21	0.1726	0.1726	NUM
ejpam-6479	508	22	0.0857	0.0857	NUM
ejpam-6479	508	23	0.0425	0.0425	NUM
ejpam-6479	508	24	f(0.8	f(0.8	ADJ
ejpam-6479	508	25	)	)	PUNCT
ejpam-6479	508	26	0.3594	0.3594	NUM
ejpam-6479	508	27	0.1615	0.1615	NUM
ejpam-6479	508	28	0.0725	0.0725	NUM
ejpam-6479	508	29	0.0326	0.0326	NUM
ejpam-6479	508	30	s(0.4	s(0.4	NOUN
ejpam-6479	508	31	)	)	PUNCT
ejpam-6479	509	1	0.2681	0.2681	NUM
ejpam-6479	509	2	0.1797	0.1797	NUM
ejpam-6479	509	3	0.1204	0.1204	NUM
ejpam-6479	509	4	0.0807	0.0807	NUM
ejpam-6479	509	5	r(0.6	r(0.6	NOUN
ejpam-6479	509	6	)	)	PUNCT
ejpam-6479	509	7	0.3292	0.3292	NUM
ejpam-6479	509	8	0.1807	0.1807	NUM
ejpam-6479	509	9	0.0991	0.0991	NUM
ejpam-6479	509	10	0.0544	0.0544	NUM
ejpam-6479	509	11	w(0.5	w(0.5	NOUN
ejpam-6479	509	12	)	)	PUNCT
ejpam-6479	509	13	0.3032	0.3032	NUM
ejpam-6479	509	14	0.1839	0.1839	NUM
ejpam-6479	509	15	0.1115	0.1115	NUM
ejpam-6479	509	16	0.0676	0.0676	NUM
ejpam-6479	509	17	b(0.3	b(0.3	NOUN
ejpam-6479	509	18	)	)	PUNCT
ejpam-6479	509	19	0.2222	0.2222	NUM
ejpam-6479	509	20	0.1646	0.1646	NUM
ejpam-6479	509	21	0.1219	0.1219	NUM
ejpam-6479	509	22	0.0903	0.0903	NUM
ejpam-6479	509	23	table	table	NOUN
ejpam-6479	509	24	2	2	NUM
ejpam-6479	509	25	:	:	PUNCT
ejpam-6479	509	26	membership	membership	NOUN
ejpam-6479	509	27	values	value	NOUN
ejpam-6479	509	28	of	of	ADP
ejpam-6479	509	29	vertices	vertex	NOUN
ejpam-6479	509	30	from	from	ADP
ejpam-6479	509	31	different	different	ADJ
ejpam-6479	509	32	λ	λ	PROPN
ejpam-6479	509	33	values	value	NOUN
ejpam-6479	509	34	this	this	DET
ejpam-6479	509	35	paragraph	paragraph	NOUN
ejpam-6479	509	36	provides	provide	VERB
ejpam-6479	509	37	a	a	DET
ejpam-6479	509	38	thorough	thorough	ADJ
ejpam-6479	509	39	analysis	analysis	NOUN
ejpam-6479	509	40	of	of	ADP
ejpam-6479	509	41	the	the	DET
ejpam-6479	509	42	vertex	vertex	NOUN
ejpam-6479	509	43	degrees	degree	NOUN
ejpam-6479	509	44	for	for	ADP
ejpam-6479	509	45	all	all	DET
ejpam-6479	509	46	values	value	NOUN
ejpam-6479	509	47	of	of	ADP
ejpam-6479	509	48	λ	λ	NOUN
ejpam-6479	509	49	=	=	NOUN
ejpam-6479	509	50	1	1	NUM
ejpam-6479	509	51	to	to	PART
ejpam-6479	509	52	λ	λ	X
ejpam-6479	509	53	=	=	NOUN
ejpam-6479	509	54	4	4	X
ejpam-6479	509	55	.	.	PUNCT
ejpam-6479	509	56	w.	w.	PROPN
ejpam-6479	509	57	f.	f.	PROPN
ejpam-6479	509	58	al	al	PROPN
ejpam-6479	509	59	-	-	PUNCT
ejpam-6479	509	60	omeri	omeri	PROPN
ejpam-6479	509	61	et	et	PROPN
ejpam-6479	509	62	al	al	PROPN
ejpam-6479	509	63	.	.	PUNCT
ejpam-6479	509	64	/	/	SYM
ejpam-6479	509	65	eur	eur	PROPN
ejpam-6479	509	66	.	.	PUNCT
ejpam-6479	510	1	j.	j.	PROPN
ejpam-6479	510	2	pure	pure	PROPN
ejpam-6479	510	3	appl	appl	PROPN
ejpam-6479	510	4	.	.	PROPN
ejpam-6479	510	5	math	math	PROPN
ejpam-6479	510	6	,	,	PUNCT
ejpam-6479	510	7	18	18	NUM
ejpam-6479	510	8	(	(	PUNCT
ejpam-6479	510	9	3	3	NUM
ejpam-6479	510	10	)	)	PUNCT
ejpam-6479	510	11	(	(	PUNCT
ejpam-6479	510	12	2025	2025	NUM
ejpam-6479	510	13	)	)	PUNCT
ejpam-6479	510	14	,	,	PUNCT
ejpam-6479	510	15	6479	6479	NUM
ejpam-6479	510	16	24	24	NUM
ejpam-6479	510	17	of	of	ADP
ejpam-6479	510	18	28	28	NUM
ejpam-6479	510	19	edge	edge	NOUN
ejpam-6479	510	20	membership	membership	NOUN
ejpam-6479	510	21	λ	λ	NOUN
ejpam-6479	510	22	=	=	SYM
ejpam-6479	510	23	1	1	NUM
ejpam-6479	510	24	membership	membership	NOUN
ejpam-6479	510	25	λ	λ	NOUN
ejpam-6479	510	26	=	=	SYM
ejpam-6479	510	27	2	2	NUM
ejpam-6479	510	28	membership	membership	NOUN
ejpam-6479	510	29	λ	λ	NOUN
ejpam-6479	510	30	=	=	SYM
ejpam-6479	510	31	3	3	NUM
ejpam-6479	510	32	membership	membership	NOUN
ejpam-6479	510	33	λ	λ	NOUN
ejpam-6479	510	34	=	=	NOUN
ejpam-6479	510	35	4	4	NUM
ejpam-6479	510	36	af	af	NOUN
ejpam-6479	510	37	0.3476	0.3476	NUM
ejpam-6479	510	38	0.1615	0.1615	NUM
ejpam-6479	511	1	0.0725	0.0725	NUM
ejpam-6479	511	2	0.0326	0.0326	NUM
ejpam-6479	511	3	as	as	ADP
ejpam-6479	511	4	0.2681	0.2681	NUM
ejpam-6479	511	5	0.1726	0.1726	NUM
ejpam-6479	511	6	0.0857	0.0857	NUM
ejpam-6479	511	7	0.0425	0.0425	NUM
ejpam-6479	511	8	ar	ar	NOUN
ejpam-6479	511	9	0.3292	0.3292	NUM
ejpam-6479	511	10	0.1726	0.1726	NUM
ejpam-6479	511	11	0.0857	0.0857	NUM
ejpam-6479	511	12	0.0425	0.0425	NUM
ejpam-6479	512	1	aw	aw	NUM
ejpam-6479	512	2	0.3032	0.3032	NUM
ejpam-6479	512	3	0.1726	0.1726	NUM
ejpam-6479	513	1	0.0857	0.0857	NUM
ejpam-6479	513	2	0.0425	0.0425	NUM
ejpam-6479	513	3	ab	ab	NOUN
ejpam-6479	513	4	0.2222	0.2222	NUM
ejpam-6479	513	5	0.1646	0.1646	NUM
ejpam-6479	513	6	0.0857	0.0857	NUM
ejpam-6479	513	7	0.0425	0.0425	NUM
ejpam-6479	513	8	fs	fs	PART
ejpam-6479	513	9	0.2681	0.2681	NUM
ejpam-6479	513	10	0.1615	0.1615	NUM
ejpam-6479	513	11	0.0725	0.0725	NUM
ejpam-6479	513	12	0.0326	0.0326	NUM
ejpam-6479	514	1	fr	fr	NOUN
ejpam-6479	514	2	0.3292	0.3292	NUM
ejpam-6479	514	3	0.1615	0.1615	NUM
ejpam-6479	514	4	0.0725	0.0725	NUM
ejpam-6479	514	5	0.0326	0.0326	NUM
ejpam-6479	514	6	fw	fw	PROPN
ejpam-6479	514	7	0.3032	0.3032	NUM
ejpam-6479	514	8	0.1615	0.1615	NUM
ejpam-6479	514	9	0.0725	0.0725	NUM
ejpam-6479	514	10	0.0326	0.0326	NUM
ejpam-6479	514	11	fb	fb	NOUN
ejpam-6479	514	12	0.2222	0.2222	NUM
ejpam-6479	514	13	0.1615	0.1615	NUM
ejpam-6479	514	14	0.0725	0.0725	NUM
ejpam-6479	514	15	0.0326	0.0326	NUM
ejpam-6479	514	16	sr	sr	PROPN
ejpam-6479	514	17	0.2681	0.2681	NUM
ejpam-6479	514	18	0.1797	0.1797	NUM
ejpam-6479	514	19	0.0991	0.0991	NUM
ejpam-6479	514	20	0.0544	0.0544	NUM
ejpam-6479	514	21	sw	sw	NOUN
ejpam-6479	515	1	0.2681	0.2681	NUM
ejpam-6479	515	2	0.1797	0.1797	NUM
ejpam-6479	515	3	0.1115	0.1115	NUM
ejpam-6479	515	4	0.0676	0.0676	NUM
ejpam-6479	515	5	sb	sb	NOUN
ejpam-6479	515	6	0.2222	0.2222	NUM
ejpam-6479	515	7	0.1646	0.1646	NUM
ejpam-6479	515	8	0.1204	0.1204	NUM
ejpam-6479	515	9	0.0807	0.0807	NUM
ejpam-6479	515	10	rw	rw	NOUN
ejpam-6479	515	11	0.3032	0.3032	NUM
ejpam-6479	515	12	0.1807	0.1807	NUM
ejpam-6479	515	13	0.0991	0.0991	NUM
ejpam-6479	515	14	0.0544	0.0544	NUM
ejpam-6479	515	15	rb	rb	NOUN
ejpam-6479	515	16	0.2222	0.2222	NUM
ejpam-6479	515	17	0.1646	0.1646	NUM
ejpam-6479	515	18	0.0991	0.0991	NUM
ejpam-6479	515	19	0.0544	0.0544	NUM
ejpam-6479	515	20	wb	wb	NOUN
ejpam-6479	515	21	0.2222	0.2222	NUM
ejpam-6479	515	22	0.1646	0.1646	NUM
ejpam-6479	515	23	0.1115	0.1115	NUM
ejpam-6479	515	24	0.0676	0.0676	NUM
ejpam-6479	515	25	table	table	NOUN
ejpam-6479	515	26	3	3	NUM
ejpam-6479	515	27	:	:	PUNCT
ejpam-6479	515	28	membership	membership	NOUN
ejpam-6479	515	29	values	value	NOUN
ejpam-6479	515	30	of	of	ADP
ejpam-6479	515	31	edges	edge	NOUN
ejpam-6479	515	32	for	for	ADP
ejpam-6479	515	33	different	different	ADJ
ejpam-6479	515	34	λ	λ	PROPN
ejpam-6479	515	35	values	value	NOUN
ejpam-6479	515	36	description	description	NOUN
ejpam-6479	515	37	vertex	vertex	NOUN
ejpam-6479	515	38	degree	degree	NOUN
ejpam-6479	515	39	λ	λ	NOUN
ejpam-6479	515	40	=	=	SYM
ejpam-6479	515	41	1	1	NUM
ejpam-6479	515	42	degree	degree	NOUN
ejpam-6479	515	43	λ	λ	NOUN
ejpam-6479	515	44	=	=	SYM
ejpam-6479	515	45	2	2	NUM
ejpam-6479	515	46	degree	degree	NOUN
ejpam-6479	515	47	λ	λ	NOUN
ejpam-6479	515	48	=	=	SYM
ejpam-6479	515	49	3	3	NUM
ejpam-6479	515	50	degree	degree	NOUN
ejpam-6479	515	51	λ	λ	NOUN
ejpam-6479	515	52	=	=	SYM
ejpam-6479	515	53	4	4	NUM
ejpam-6479	515	54	air	air	NOUN
ejpam-6479	515	55	quality	quality	NOUN
ejpam-6479	515	56	a	a	PRON
ejpam-6479	515	57	(	(	PUNCT
ejpam-6479	515	58	0.7	0.7	NUM
ejpam-6479	515	59	)	)	PUNCT
ejpam-6479	515	60	1.4703	1.4703	NUM
ejpam-6479	515	61	0.8436	0.8436	NUM
ejpam-6479	515	62	0.4153	0.4153	NUM
ejpam-6479	515	63	0.2026	0.2026	NUM
ejpam-6479	515	64	forest	forest	NOUN
ejpam-6479	515	65	length	length	NOUN
ejpam-6479	515	66	f	f	PROPN
ejpam-6479	515	67	(	(	PUNCT
ejpam-6479	515	68	0.8	0.8	NUM
ejpam-6479	515	69	)	)	PUNCT
ejpam-6479	516	1	1.4703	1.4703	NUM
ejpam-6479	516	2	0.8075	0.8075	NUM
ejpam-6479	516	3	0.3625	0.3625	NUM
ejpam-6479	516	4	0.1630	0.1630	NUM
ejpam-6479	516	5	soil	soil	NOUN
ejpam-6479	516	6	contamination	contamination	NOUN
ejpam-6479	516	7	s	s	PART
ejpam-6479	516	8	(	(	PUNCT
ejpam-6479	516	9	0.4	0.4	NUM
ejpam-6479	516	10	)	)	PUNCT
ejpam-6479	516	11	1.2946	1.2946	NUM
ejpam-6479	516	12	0.8581	0.8581	NUM
ejpam-6479	516	13	0.4892	0.4892	NUM
ejpam-6479	516	14	0.2778	0.2778	NUM
ejpam-6479	516	15	river	river	NOUN
ejpam-6479	516	16	ecosystem	ecosystem	NOUN
ejpam-6479	516	17	r	r	NOUN
ejpam-6479	516	18	(	(	PUNCT
ejpam-6479	516	19	0.6	0.6	NUM
ejpam-6479	516	20	)	)	PUNCT
ejpam-6479	516	21	1.4519	1.4519	NUM
ejpam-6479	516	22	0.8591	0.8591	NUM
ejpam-6479	516	23	0.4555	0.4555	NUM
ejpam-6479	516	24	0.2383	0.2383	NUM
ejpam-6479	516	25	water	water	NOUN
ejpam-6479	516	26	quality	quality	NOUN
ejpam-6479	516	27	w	w	PROPN
ejpam-6479	516	28	(	(	PUNCT
ejpam-6479	516	29	0.5	0.5	NUM
ejpam-6479	516	30	)	)	PUNCT
ejpam-6479	516	31	1.3999	1.3999	NUM
ejpam-6479	516	32	0.8591	0.8591	NUM
ejpam-6479	516	33	0.4803	0.4803	NUM
ejpam-6479	516	34	0.2647	0.2647	NUM
ejpam-6479	516	35	bio	bio	NOUN
ejpam-6479	516	36	diversity	diversity	PROPN
ejpam-6479	516	37	b	b	PROPN
ejpam-6479	516	38	(	(	PUNCT
ejpam-6479	516	39	0.3	0.3	NUM
ejpam-6479	516	40	)	)	PUNCT
ejpam-6479	516	41	1.1110	1.1110	NUM
ejpam-6479	516	42	0.8199	0.8199	NUM
ejpam-6479	516	43	0.4892	0.4892	NUM
ejpam-6479	516	44	0.2778	0.2778	NUM
ejpam-6479	516	45	table	table	NOUN
ejpam-6479	516	46	4	4	NUM
ejpam-6479	516	47	:	:	PUNCT
ejpam-6479	516	48	degree	degree	NOUN
ejpam-6479	516	49	of	of	ADP
ejpam-6479	516	50	vertices	vertex	NOUN
ejpam-6479	516	51	for	for	ADP
ejpam-6479	516	52	various	various	ADJ
ejpam-6479	516	53	environmental	environmental	ADJ
ejpam-6479	516	54	parameters	parameter	NOUN
ejpam-6479	516	55	at	at	ADP
ejpam-6479	516	56	different	different	ADJ
ejpam-6479	516	57	λ	λ	PROPN
ejpam-6479	516	58	values	value	NOUN
ejpam-6479	516	59	vertex	vertex	NOUN
ejpam-6479	516	60	degree	degree	NOUN
ejpam-6479	516	61	analysis	analysis	NOUN
ejpam-6479	516	62	across	across	ADP
ejpam-6479	516	63	a	a	DET
ejpam-6479	516	64	range	range	NOUN
ejpam-6479	516	65	of	of	ADP
ejpam-6479	516	66	λ	λ	PROPN
ejpam-6479	516	67	values	value	NOUN
ejpam-6479	516	68	sheds	shed	VERB
ejpam-6479	516	69	light	light	NOUN
ejpam-6479	516	70	on	on	ADP
ejpam-6479	516	71	how	how	SCONJ
ejpam-6479	516	72	the	the	DET
ejpam-6479	516	73	relative	relative	ADJ
ejpam-6479	516	74	significance	significance	NOUN
ejpam-6479	516	75	or	or	CCONJ
ejpam-6479	516	76	impact	impact	NOUN
ejpam-6479	516	77	of	of	ADP
ejpam-6479	516	78	various	various	ADJ
ejpam-6479	516	79	environmental	environmental	ADJ
ejpam-6479	516	80	elements	element	NOUN
ejpam-6479	516	81	varies	vary	VERB
ejpam-6479	516	82	under	under	ADP
ejpam-6479	516	83	more	more	ADV
ejpam-6479	516	84	demanding	demanding	ADJ
ejpam-6479	516	85	modelling	modelling	NOUN
ejpam-6479	516	86	circumstances	circumstance	NOUN
ejpam-6479	516	87	.	.	PUNCT
ejpam-6479	517	1	air	air	NOUN
ejpam-6479	517	2	quality	quality	NOUN
ejpam-6479	517	3	(	(	PUNCT
ejpam-6479	517	4	1.4703	1.4703	NUM
ejpam-6479	517	5	)	)	PUNCT
ejpam-6479	517	6	,	,	PUNCT
ejpam-6479	517	7	forest	forest	NOUN
ejpam-6479	517	8	length	length	NOUN
ejpam-6479	517	9	(	(	PUNCT
ejpam-6479	517	10	1.4703	1.4703	NUM
ejpam-6479	517	11	)	)	PUNCT
ejpam-6479	517	12	and	and	CCONJ
ejpam-6479	517	13	river	river	NOUN
ejpam-6479	517	14	ecosystem	ecosystem	NOUN
ejpam-6479	517	15	(	(	PUNCT
ejpam-6479	517	16	1.4519	1.4519	NUM
ejpam-6479	517	17	)	)	PUNCT
ejpam-6479	517	18	are	be	AUX
ejpam-6479	517	19	the	the	DET
ejpam-6479	517	20	most	most	ADV
ejpam-6479	517	21	dominating	dominating	NOUN
ejpam-6479	517	22	elements	element	NOUN
ejpam-6479	517	23	at	at	ADP
ejpam-6479	517	24	λ	λ	NOUN
ejpam-6479	517	25	=	=	SYM
ejpam-6479	517	26	1	1	NUM
ejpam-6479	517	27	,	,	PUNCT
ejpam-6479	517	28	where	where	SCONJ
ejpam-6479	517	29	effect	effect	NOUN
ejpam-6479	517	30	is	be	AUX
ejpam-6479	517	31	widely	widely	ADV
ejpam-6479	517	32	dispersed	disperse	VERB
ejpam-6479	517	33	with	with	ADP
ejpam-6479	517	34	little	little	ADJ
ejpam-6479	517	35	decay	decay	NOUN
ejpam-6479	517	36	,	,	PUNCT
ejpam-6479	517	37	suggesting	suggest	VERB
ejpam-6479	517	38	high	high	ADJ
ejpam-6479	517	39	connectedness	connectedness	NOUN
ejpam-6479	517	40	and	and	CCONJ
ejpam-6479	517	41	influence	influence	NOUN
ejpam-6479	517	42	in	in	ADP
ejpam-6479	517	43	the	the	DET
ejpam-6479	517	44	environmental	environmental	ADJ
ejpam-6479	517	45	system	system	NOUN
ejpam-6479	517	46	.	.	PUNCT
ejpam-6479	518	1	the	the	DET
ejpam-6479	518	2	degree	degree	NOUN
ejpam-6479	518	3	of	of	ADP
ejpam-6479	518	4	each	each	DET
ejpam-6479	518	5	vertex	vertex	NOUN
ejpam-6479	518	6	decreases	decrease	VERB
ejpam-6479	518	7	as	as	SCONJ
ejpam-6479	518	8	λ	λ	NOUN
ejpam-6479	518	9	rises	rise	NOUN
ejpam-6479	518	10	,	,	PUNCT
ejpam-6479	518	11	illustrating	illustrate	VERB
ejpam-6479	518	12	how	how	SCONJ
ejpam-6479	518	13	their	their	PRON
ejpam-6479	518	14	impact	impact	NOUN
ejpam-6479	518	15	lessens	lessen	VERB
ejpam-6479	518	16	under	under	ADP
ejpam-6479	518	17	more	more	ADV
ejpam-6479	518	18	conservative	conservative	ADJ
ejpam-6479	518	19	or	or	CCONJ
ejpam-6479	518	20	decaying	decay	VERB
ejpam-6479	518	21	weight	weight	NOUN
ejpam-6479	518	22	models	model	NOUN
ejpam-6479	518	23	.	.	PUNCT
ejpam-6479	519	1	river	river	NOUN
ejpam-6479	519	2	ecosystem	ecosystem	NOUN
ejpam-6479	519	3	(	(	PUNCT
ejpam-6479	519	4	0.8591	0.8591	NUM
ejpam-6479	519	5	)	)	PUNCT
ejpam-6479	519	6	and	and	CCONJ
ejpam-6479	519	7	water	water	NOUN
ejpam-6479	519	8	quality	quality	NOUN
ejpam-6479	519	9	(	(	PUNCT
ejpam-6479	519	10	0.8591	0.8591	NUM
ejpam-6479	519	11	)	)	PUNCT
ejpam-6479	519	12	maintain	maintain	VERB
ejpam-6479	519	13	the	the	DET
ejpam-6479	519	14	maximum	maximum	ADJ
ejpam-6479	519	15	degrees	degree	NOUN
ejpam-6479	519	16	at	at	ADP
ejpam-6479	519	17	λ	λ	PROPN
ejpam-6479	519	18	=	=	SYM
ejpam-6479	519	19	2	2	NUM
ejpam-6479	519	20	,	,	PUNCT
ejpam-6479	519	21	indicating	indicate	VERB
ejpam-6479	519	22	that	that	SCONJ
ejpam-6479	519	23	these	these	DET
ejpam-6479	519	24	elements	element	NOUN
ejpam-6479	519	25	are	be	AUX
ejpam-6479	519	26	structurally	structurally	ADV
ejpam-6479	519	27	robust	robust	ADJ
ejpam-6479	519	28	and	and	CCONJ
ejpam-6479	519	29	preserve	preserve	VERB
ejpam-6479	519	30	connectedness	connectedness	NOUN
ejpam-6479	519	31	even	even	ADV
ejpam-6479	519	32	in	in	ADP
ejpam-6479	519	33	the	the	DET
ejpam-6479	519	34	face	face	NOUN
ejpam-6479	519	35	of	of	ADP
ejpam-6479	519	36	greater	great	ADJ
ejpam-6479	519	37	limitations	limitation	NOUN
ejpam-6479	519	38	.	.	PUNCT
ejpam-6479	520	1	moderate	moderate	ADJ
ejpam-6479	520	2	persistence	persistence	NOUN
ejpam-6479	520	3	is	be	AUX
ejpam-6479	520	4	also	also	ADV
ejpam-6479	520	5	shown	show	VERB
ejpam-6479	520	6	by	by	ADP
ejpam-6479	520	7	soil	soil	NOUN
ejpam-6479	520	8	contamination	contamination	NOUN
ejpam-6479	520	9	and	and	CCONJ
ejpam-6479	520	10	biodiversity	biodiversity	NOUN
ejpam-6479	520	11	,	,	PUNCT
ejpam-6479	520	12	suggesting	suggest	VERB
ejpam-6479	520	13	more	more	ADJ
ejpam-6479	520	14	dispersed	disperse	VERB
ejpam-6479	520	15	patterns	pattern	NOUN
ejpam-6479	520	16	of	of	ADP
ejpam-6479	520	17	effect	effect	NOUN
ejpam-6479	520	18	.	.	PUNCT
ejpam-6479	521	1	vertex	vertex	NOUN
ejpam-6479	521	2	degrees	degree	NOUN
ejpam-6479	521	3	further	far	ADV
ejpam-6479	521	4	decrease	decrease	NOUN
ejpam-6479	521	5	for	for	ADP
ejpam-6479	521	6	all	all	DET
ejpam-6479	521	7	factors	factor	NOUN
ejpam-6479	521	8	when	when	SCONJ
ejpam-6479	521	9	moving	move	VERB
ejpam-6479	521	10	to	to	ADP
ejpam-6479	521	11	λ	λ	PROPN
ejpam-6479	521	12	=	=	SYM
ejpam-6479	521	13	3	3	NUM
ejpam-6479	521	14	and	and	CCONJ
ejpam-6479	521	15	λ	λ	X
ejpam-6479	521	16	=	=	NOUN
ejpam-6479	521	17	4	4	NUM
ejpam-6479	521	18	,	,	PUNCT
ejpam-6479	521	19	but	but	CCONJ
ejpam-6479	521	20	the	the	DET
ejpam-6479	521	21	declines	decline	NOUN
ejpam-6479	521	22	are	be	AUX
ejpam-6479	521	23	more	more	ADV
ejpam-6479	521	24	gradual	gradual	ADJ
ejpam-6479	521	25	for	for	ADP
ejpam-6479	521	26	soil	soil	NOUN
ejpam-6479	521	27	contamination	contamination	NOUN
ejpam-6479	521	28	(	(	PUNCT
ejpam-6479	521	29	0.4892	0.4892	NUM
ejpam-6479	521	30	to	to	ADP
ejpam-6479	521	31	0.2778	0.2778	NUM
ejpam-6479	521	32	)	)	PUNCT
ejpam-6479	521	33	,	,	PUNCT
ejpam-6479	521	34	forest	forest	NOUN
ejpam-6479	521	35	length	length	NOUN
ejpam-6479	521	36	(	(	PUNCT
ejpam-6479	521	37	0.3625	0.3625	NUM
ejpam-6479	521	38	to	to	ADP
ejpam-6479	521	39	0.1630	0.1630	NUM
ejpam-6479	521	40	)	)	PUNCT
ejpam-6479	521	41	and	and	CCONJ
ejpam-6479	521	42	bio	bio	NOUN
ejpam-6479	521	43	diversity	diversity	NOUN
ejpam-6479	521	44	(	(	PUNCT
ejpam-6479	521	45	0.4892	0.4892	NUM
ejpam-6479	521	46	to	to	ADP
ejpam-6479	521	47	0.2778	0.2778	NUM
ejpam-6479	521	48	)	)	PUNCT
ejpam-6479	521	49	,	,	PUNCT
ejpam-6479	521	50	suggesting	suggest	VERB
ejpam-6479	521	51	greater	great	ADJ
ejpam-6479	521	52	robustness	robustness	NOUN
ejpam-6479	521	53	or	or	CCONJ
ejpam-6479	521	54	long	long	ADJ
ejpam-6479	521	55	-	-	PUNCT
ejpam-6479	521	56	term	term	NOUN
ejpam-6479	521	57	importance	importance	NOUN
ejpam-6479	521	58	under	under	ADP
ejpam-6479	521	59	stricter	strict	ADJ
ejpam-6479	521	60	influence	influence	NOUN
ejpam-6479	521	61	decay	decay	NOUN
ejpam-6479	521	62	.	.	PUNCT
ejpam-6479	522	1	on	on	ADP
ejpam-6479	522	2	the	the	DET
ejpam-6479	522	3	other	other	ADJ
ejpam-6479	522	4	hand	hand	NOUN
ejpam-6479	522	5	,	,	PUNCT
ejpam-6479	522	6	even	even	ADV
ejpam-6479	522	7	though	though	SCONJ
ejpam-6479	522	8	it	it	PRON
ejpam-6479	522	9	was	be	AUX
ejpam-6479	522	10	the	the	DET
ejpam-6479	522	11	most	most	ADV
ejpam-6479	522	12	important	important	ADJ
ejpam-6479	522	13	component	component	NOUN
ejpam-6479	522	14	at	at	ADP
ejpam-6479	522	15	first	first	ADV
ejpam-6479	522	16	,	,	PUNCT
ejpam-6479	522	17	air	air	NOUN
ejpam-6479	522	18	quality	quality	NOUN
ejpam-6479	522	19	drops	drop	VERB
ejpam-6479	522	20	dramatically	dramatically	ADV
ejpam-6479	522	21	(	(	PUNCT
ejpam-6479	522	22	from	from	ADP
ejpam-6479	522	23	1.4703	1.4703	NUM
ejpam-6479	522	24	w.	w.	PROPN
ejpam-6479	522	25	f.	f.	PROPN
ejpam-6479	522	26	al	al	PROPN
ejpam-6479	522	27	-	-	PUNCT
ejpam-6479	522	28	omeri	omeri	PROPN
ejpam-6479	522	29	et	et	PROPN
ejpam-6479	522	30	al	al	PROPN
ejpam-6479	522	31	.	.	PUNCT
ejpam-6479	522	32	/	/	SYM
ejpam-6479	522	33	eur	eur	PROPN
ejpam-6479	522	34	.	.	PUNCT
ejpam-6479	523	1	j.	j.	PROPN
ejpam-6479	523	2	pure	pure	PROPN
ejpam-6479	523	3	appl	appl	PROPN
ejpam-6479	523	4	.	.	PROPN
ejpam-6479	523	5	math	math	PROPN
ejpam-6479	523	6	,	,	PUNCT
ejpam-6479	523	7	18	18	NUM
ejpam-6479	523	8	(	(	PUNCT
ejpam-6479	523	9	3	3	NUM
ejpam-6479	523	10	)	)	PUNCT
ejpam-6479	523	11	(	(	PUNCT
ejpam-6479	523	12	2025	2025	NUM
ejpam-6479	523	13	)	)	PUNCT
ejpam-6479	523	14	,	,	PUNCT
ejpam-6479	523	15	6479	6479	NUM
ejpam-6479	523	16	25	25	NUM
ejpam-6479	523	17	of	of	ADP
ejpam-6479	523	18	28	28	NUM
ejpam-6479	523	19	to	to	PART
ejpam-6479	523	20	0.2026	0.2026	NUM
ejpam-6479	523	21	)	)	PUNCT
ejpam-6479	523	22	,	,	PUNCT
ejpam-6479	523	23	suggesting	suggest	VERB
ejpam-6479	523	24	that	that	SCONJ
ejpam-6479	523	25	conservative	conservative	ADJ
ejpam-6479	523	26	models	model	NOUN
ejpam-6479	523	27	greatly	greatly	ADV
ejpam-6479	523	28	reduce	reduce	VERB
ejpam-6479	523	29	its	its	PRON
ejpam-6479	523	30	early	early	ADJ
ejpam-6479	523	31	influence	influence	NOUN
ejpam-6479	523	32	.	.	PUNCT
ejpam-6479	524	1	overall	overall	ADV
ejpam-6479	524	2	,	,	PUNCT
ejpam-6479	524	3	the	the	DET
ejpam-6479	524	4	findings	finding	NOUN
ejpam-6479	524	5	indicate	indicate	VERB
ejpam-6479	524	6	that	that	SCONJ
ejpam-6479	524	7	forest	forest	NOUN
ejpam-6479	524	8	length	length	NOUN
ejpam-6479	524	9	,	,	PUNCT
ejpam-6479	524	10	soil	soil	NOUN
ejpam-6479	524	11	contamination	contamination	NOUN
ejpam-6479	524	12	and	and	CCONJ
ejpam-6479	524	13	bio	bio	PROPN
ejpam-6479	524	14	diversity	diversity	NOUN
ejpam-6479	524	15	acquire	acquire	VERB
ejpam-6479	524	16	relative	relative	ADJ
ejpam-6479	524	17	importance	importance	NOUN
ejpam-6479	524	18	in	in	ADP
ejpam-6479	524	19	longer	long	ADJ
ejpam-6479	524	20	-	-	PUNCT
ejpam-6479	524	21	term	term	NOUN
ejpam-6479	524	22	or	or	CCONJ
ejpam-6479	524	23	more	more	ADV
ejpam-6479	524	24	stringent	stringent	ADJ
ejpam-6479	524	25	environmental	environmental	ADJ
ejpam-6479	524	26	evaluations	evaluation	NOUN
ejpam-6479	524	27	,	,	PUNCT
ejpam-6479	524	28	air	air	NOUN
ejpam-6479	524	29	quality	quality	NOUN
ejpam-6479	524	30	,	,	PUNCT
ejpam-6479	524	31	water	water	NOUN
ejpam-6479	524	32	quality	quality	NOUN
ejpam-6479	524	33	and	and	CCONJ
ejpam-6479	524	34	river	river	NOUN
ejpam-6479	524	35	ecosystem	ecosystem	NOUN
ejpam-6479	524	36	have	have	VERB
ejpam-6479	524	37	the	the	DET
ejpam-6479	524	38	greatest	great	ADJ
ejpam-6479	524	39	influence	influence	NOUN
ejpam-6479	524	40	in	in	ADP
ejpam-6479	524	41	early	early	ADJ
ejpam-6479	524	42	-	-	PUNCT
ejpam-6479	524	43	stage	stage	NOUN
ejpam-6479	524	44	(	(	PUNCT
ejpam-6479	524	45	low	low	ADJ
ejpam-6479	524	46	λ	λ	NOUN
ejpam-6479	524	47	)	)	PUNCT
ejpam-6479	524	48	models	model	NOUN
ejpam-6479	524	49	.	.	PUNCT
ejpam-6479	525	1	while	while	SCONJ
ejpam-6479	525	2	long	long	ADJ
ejpam-6479	525	3	-	-	PUNCT
ejpam-6479	525	4	term	term	NOUN
ejpam-6479	525	5	resilience	resilience	NOUN
ejpam-6479	525	6	planning	planning	NOUN
ejpam-6479	525	7	concentrates	concentrate	VERB
ejpam-6479	525	8	on	on	ADP
ejpam-6479	525	9	forest	forest	NOUN
ejpam-6479	525	10	ecosystems	ecosystem	NOUN
ejpam-6479	525	11	,	,	PUNCT
ejpam-6479	525	12	soil	soil	NOUN
ejpam-6479	525	13	health	health	NOUN
ejpam-6479	525	14	and	and	CCONJ
ejpam-6479	525	15	biodiversity	biodiversity	NOUN
ejpam-6479	525	16	,	,	PUNCT
ejpam-6479	525	17	initial	initial	ADJ
ejpam-6479	525	18	efforts	effort	NOUN
ejpam-6479	525	19	target	target	VERB
ejpam-6479	525	20	high	high	ADJ
ejpam-6479	525	21	-	-	PUNCT
ejpam-6479	525	22	impact	impact	NOUN
ejpam-6479	525	23	components	component	NOUN
ejpam-6479	525	24	like	like	ADP
ejpam-6479	525	25	air	air	NOUN
ejpam-6479	525	26	and	and	CCONJ
ejpam-6479	525	27	water	water	NOUN
ejpam-6479	525	28	.	.	PUNCT
ejpam-6479	526	1	this	this	DET
ejpam-6479	526	2	behaviour	behaviour	NOUN
ejpam-6479	526	3	emphasises	emphasise	VERB
ejpam-6479	526	4	the	the	DET
ejpam-6479	526	5	dynamic	dynamic	ADJ
ejpam-6479	526	6	nature	nature	NOUN
ejpam-6479	526	7	of	of	ADP
ejpam-6479	526	8	environmental	environmental	ADJ
ejpam-6479	526	9	interactions	interaction	NOUN
ejpam-6479	526	10	and	and	CCONJ
ejpam-6479	526	11	can	can	AUX
ejpam-6479	526	12	guide	guide	VERB
ejpam-6479	526	13	multi	multi	ADJ
ejpam-6479	526	14	-	-	ADJ
ejpam-6479	526	15	stage	stage	ADJ
ejpam-6479	526	16	policy	policy	NOUN
ejpam-6479	526	17	design	design	NOUN
ejpam-6479	526	18	.	.	PUNCT
ejpam-6479	527	1	figure	figure	NOUN
ejpam-6479	527	2	12	12	NUM
ejpam-6479	527	3	:	:	PUNCT
ejpam-6479	527	4	fuzzy	fuzzy	ADJ
ejpam-6479	527	5	graph	graph	NOUN
ejpam-6479	527	6	4.4	4.4	NUM
ejpam-6479	527	7	.	.	PUNCT
ejpam-6479	528	1	comparative	comparative	ADJ
ejpam-6479	528	2	analysis	analysis	NOUN
ejpam-6479	528	3	traditional	traditional	ADJ
ejpam-6479	528	4	fuzzy	fuzzy	ADJ
ejpam-6479	528	5	graphs	graph	NOUN
ejpam-6479	528	6	(	(	PUNCT
ejpam-6479	528	7	tfgs	tfgs	NOUN
ejpam-6479	528	8	)	)	PUNCT
ejpam-6479	528	9	provide	provide	VERB
ejpam-6479	528	10	a	a	DET
ejpam-6479	528	11	foundational	foundational	ADJ
ejpam-6479	528	12	approach	approach	NOUN
ejpam-6479	528	13	to	to	ADP
ejpam-6479	528	14	modeling	model	VERB
ejpam-6479	528	15	uncertainty	uncertainty	NOUN
ejpam-6479	528	16	by	by	ADP
ejpam-6479	528	17	assigning	assign	VERB
ejpam-6479	528	18	static	static	ADJ
ejpam-6479	528	19	membership	membership	NOUN
ejpam-6479	528	20	values	value	NOUN
ejpam-6479	528	21	to	to	PART
ejpam-6479	528	22	vertices	vertex	NOUN
ejpam-6479	528	23	and	and	CCONJ
ejpam-6479	528	24	edges	edge	NOUN
ejpam-6479	528	25	within	within	ADP
ejpam-6479	528	26	a	a	DET
ejpam-6479	528	27	graph	graph	NOUN
ejpam-6479	528	28	structure	structure	NOUN
ejpam-6479	528	29	.	.	PUNCT
ejpam-6479	529	1	while	while	SCONJ
ejpam-6479	529	2	this	this	DET
ejpam-6479	529	3	framework	framework	NOUN
ejpam-6479	529	4	is	be	AUX
ejpam-6479	529	5	effective	effective	ADJ
ejpam-6479	529	6	in	in	ADP
ejpam-6479	529	7	handling	handle	VERB
ejpam-6479	529	8	binary	binary	ADJ
ejpam-6479	529	9	or	or	CCONJ
ejpam-6479	529	10	constant	constant	ADJ
ejpam-6479	529	11	uncertainty	uncertainty	NOUN
ejpam-6479	529	12	,	,	PUNCT
ejpam-6479	529	13	it	it	PRON
ejpam-6479	529	14	lacks	lack	VERB
ejpam-6479	529	15	the	the	DET
ejpam-6479	529	16	ability	ability	NOUN
ejpam-6479	529	17	to	to	PART
ejpam-6479	529	18	capture	capture	VERB
ejpam-6479	529	19	dynamic	dynamic	ADJ
ejpam-6479	529	20	changes	change	NOUN
ejpam-6479	529	21	or	or	CCONJ
ejpam-6479	529	22	gradual	gradual	ADJ
ejpam-6479	529	23	decay	decay	NOUN
ejpam-6479	529	24	in	in	ADP
ejpam-6479	529	25	influence	influence	NOUN
ejpam-6479	529	26	over	over	ADP
ejpam-6479	529	27	time	time	NOUN
ejpam-6479	529	28	or	or	CCONJ
ejpam-6479	529	29	through	through	ADP
ejpam-6479	529	30	interaction	interaction	NOUN
ejpam-6479	529	31	.	.	PUNCT
ejpam-6479	530	1	in	in	ADP
ejpam-6479	530	2	contrast	contrast	NOUN
ejpam-6479	530	3	,	,	PUNCT
ejpam-6479	530	4	the	the	DET
ejpam-6479	530	5	proposed	propose	VERB
ejpam-6479	530	6	exponential	exponential	ADJ
ejpam-6479	530	7	fuzzy	fuzzy	ADJ
ejpam-6479	530	8	graph	graph	NOUN
ejpam-6479	530	9	(	(	PUNCT
ejpam-6479	530	10	efg	efg	NOUN
ejpam-6479	530	11	)	)	PUNCT
ejpam-6479	530	12	model	model	NOUN
ejpam-6479	530	13	significantly	significantly	ADV
ejpam-6479	530	14	advances	advance	VERB
ejpam-6479	530	15	this	this	DET
ejpam-6479	530	16	capability	capability	NOUN
ejpam-6479	530	17	by	by	ADP
ejpam-6479	530	18	incorporating	incorporate	VERB
ejpam-6479	530	19	an	an	DET
ejpam-6479	530	20	exponential	exponential	ADJ
ejpam-6479	530	21	decay	decay	NOUN
ejpam-6479	530	22	function	function	NOUN
ejpam-6479	530	23	into	into	ADP
ejpam-6479	530	24	the	the	DET
ejpam-6479	530	25	membership	membership	NOUN
ejpam-6479	530	26	definitions	definition	NOUN
ejpam-6479	530	27	.	.	PUNCT
ejpam-6479	531	1	this	this	PRON
ejpam-6479	531	2	allows	allow	VERB
ejpam-6479	531	3	the	the	DET
ejpam-6479	531	4	model	model	NOUN
ejpam-6479	531	5	to	to	PART
ejpam-6479	531	6	reflect	reflect	VERB
ejpam-6479	531	7	real	real	ADJ
ejpam-6479	531	8	-	-	PUNCT
ejpam-6479	531	9	world	world	NOUN
ejpam-6479	531	10	phenomena	phenomenon	NOUN
ejpam-6479	531	11	where	where	SCONJ
ejpam-6479	531	12	relationships	relationship	NOUN
ejpam-6479	531	13	naturally	naturally	ADV
ejpam-6479	531	14	weaken	weaken	VERB
ejpam-6479	531	15	,	,	PUNCT
ejpam-6479	531	16	such	such	ADJ
ejpam-6479	531	17	as	as	ADP
ejpam-6479	531	18	environmental	environmental	ADJ
ejpam-6479	531	19	pollution	pollution	NOUN
ejpam-6479	531	20	,	,	PUNCT
ejpam-6479	531	21	social	social	ADJ
ejpam-6479	531	22	influence	influence	NOUN
ejpam-6479	531	23	spread	spread	VERB
ejpam-6479	531	24	,	,	PUNCT
ejpam-6479	531	25	or	or	CCONJ
ejpam-6479	531	26	biological	biological	ADJ
ejpam-6479	531	27	interactions	interaction	NOUN
ejpam-6479	531	28	.	.	PUNCT
ejpam-6479	532	1	unlike	unlike	ADP
ejpam-6479	532	2	tfgs	tfgs	NOUN
ejpam-6479	532	3	,	,	PUNCT
ejpam-6479	532	4	which	which	PRON
ejpam-6479	532	5	operate	operate	VERB
ejpam-6479	532	6	under	under	ADP
ejpam-6479	532	7	fixed	fix	VERB
ejpam-6479	532	8	uncertainty	uncertainty	NOUN
ejpam-6479	532	9	levels	level	NOUN
ejpam-6479	532	10	,	,	PUNCT
ejpam-6479	532	11	efgs	efg	NOUN
ejpam-6479	532	12	introduce	introduce	VERB
ejpam-6479	532	13	a	a	DET
ejpam-6479	532	14	tunable	tunable	ADJ
ejpam-6479	532	15	decay	decay	NOUN
ejpam-6479	532	16	parameter	parameter	NOUN
ejpam-6479	532	17	λ	λ	PROPN
ejpam-6479	532	18	,	,	PUNCT
ejpam-6479	532	19	enabling	enable	VERB
ejpam-6479	532	20	flexible	flexible	ADJ
ejpam-6479	532	21	control	control	NOUN
ejpam-6479	532	22	over	over	ADP
ejpam-6479	532	23	the	the	DET
ejpam-6479	532	24	rate	rate	NOUN
ejpam-6479	532	25	of	of	ADP
ejpam-6479	532	26	influence	influence	NOUN
ejpam-6479	532	27	attenuation	attenuation	NOUN
ejpam-6479	532	28	.	.	PUNCT
ejpam-6479	533	1	this	this	PRON
ejpam-6479	533	2	results	result	VERB
ejpam-6479	533	3	in	in	ADP
ejpam-6479	533	4	a	a	DET
ejpam-6479	533	5	more	more	ADV
ejpam-6479	533	6	adaptive	adaptive	ADJ
ejpam-6479	533	7	and	and	CCONJ
ejpam-6479	533	8	realistic	realistic	ADJ
ejpam-6479	533	9	representation	representation	NOUN
ejpam-6479	533	10	of	of	ADP
ejpam-6479	533	11	uncertain	uncertain	ADJ
ejpam-6479	533	12	systems	system	NOUN
ejpam-6479	533	13	.	.	PUNCT
ejpam-6479	534	1	furthermore	furthermore	ADV
ejpam-6479	534	2	,	,	PUNCT
ejpam-6479	534	3	efgs	efgs	PROPN
ejpam-6479	534	4	maintain	maintain	VERB
ejpam-6479	534	5	logical	logical	ADJ
ejpam-6479	534	6	consistency	consistency	NOUN
ejpam-6479	534	7	by	by	ADP
ejpam-6479	534	8	ensuring	ensure	VERB
ejpam-6479	534	9	that	that	SCONJ
ejpam-6479	534	10	edge	edge	NOUN
ejpam-6479	534	11	memberships	membership	NOUN
ejpam-6479	534	12	do	do	AUX
ejpam-6479	534	13	not	not	PART
ejpam-6479	534	14	exceed	exceed	VERB
ejpam-6479	534	15	the	the	DET
ejpam-6479	534	16	minimum	minimum	NOUN
ejpam-6479	534	17	of	of	ADP
ejpam-6479	534	18	the	the	DET
ejpam-6479	534	19	associated	associated	ADJ
ejpam-6479	534	20	vertex	vertex	NOUN
ejpam-6479	534	21	memberships	membership	NOUN
ejpam-6479	534	22	,	,	PUNCT
ejpam-6479	534	23	even	even	ADV
ejpam-6479	534	24	after	after	ADP
ejpam-6479	534	25	exponential	exponential	ADJ
ejpam-6479	534	26	transformation	transformation	NOUN
ejpam-6479	534	27	.	.	PUNCT
ejpam-6479	535	1	w.	w.	PROPN
ejpam-6479	535	2	f.	f.	PROPN
ejpam-6479	535	3	al	al	PROPN
ejpam-6479	535	4	-	-	PUNCT
ejpam-6479	535	5	omeri	omeri	PROPN
ejpam-6479	535	6	et	et	PROPN
ejpam-6479	535	7	al	al	PROPN
ejpam-6479	535	8	.	.	PUNCT
ejpam-6479	535	9	/	/	SYM
ejpam-6479	535	10	eur	eur	PROPN
ejpam-6479	535	11	.	.	PUNCT
ejpam-6479	536	1	j.	j.	PROPN
ejpam-6479	536	2	pure	pure	PROPN
ejpam-6479	536	3	appl	appl	PROPN
ejpam-6479	536	4	.	.	PROPN
ejpam-6479	536	5	math	math	PROPN
ejpam-6479	536	6	,	,	PUNCT
ejpam-6479	536	7	18	18	NUM
ejpam-6479	536	8	(	(	PUNCT
ejpam-6479	536	9	3	3	NUM
ejpam-6479	536	10	)	)	PUNCT
ejpam-6479	536	11	(	(	PUNCT
ejpam-6479	536	12	2025	2025	NUM
ejpam-6479	536	13	)	)	PUNCT
ejpam-6479	536	14	,	,	PUNCT
ejpam-6479	536	15	6479	6479	NUM
ejpam-6479	536	16	26	26	NUM
ejpam-6479	536	17	of	of	ADP
ejpam-6479	536	18	28	28	NUM
ejpam-6479	536	19	the	the	DET
ejpam-6479	536	20	efg	efg	NOUN
ejpam-6479	536	21	framework	framework	NOUN
ejpam-6479	536	22	also	also	ADV
ejpam-6479	536	23	redefines	redefine	VERB
ejpam-6479	536	24	standard	standard	ADJ
ejpam-6479	536	25	graph	graph	NOUN
ejpam-6479	536	26	operations	operation	NOUN
ejpam-6479	536	27	such	such	ADJ
ejpam-6479	536	28	as	as	ADP
ejpam-6479	536	29	union	union	NOUN
ejpam-6479	536	30	,	,	PUNCT
ejpam-6479	536	31	join	join	VERB
ejpam-6479	536	32	and	and	CCONJ
ejpam-6479	536	33	composition	composition	NOUN
ejpam-6479	536	34	within	within	ADP
ejpam-6479	536	35	the	the	DET
ejpam-6479	536	36	exponential	exponential	ADJ
ejpam-6479	536	37	context	context	NOUN
ejpam-6479	536	38	,	,	PUNCT
ejpam-6479	536	39	allowing	allow	VERB
ejpam-6479	536	40	for	for	ADP
ejpam-6479	536	41	more	more	ADV
ejpam-6479	536	42	nuanced	nuanced	ADJ
ejpam-6479	536	43	interpretations	interpretation	NOUN
ejpam-6479	536	44	of	of	ADP
ejpam-6479	536	45	connectivity	connectivity	NOUN
ejpam-6479	536	46	and	and	CCONJ
ejpam-6479	536	47	structure	structure	NOUN
ejpam-6479	536	48	.	.	PUNCT
ejpam-6479	537	1	all	all	DET
ejpam-6479	537	2	things	thing	NOUN
ejpam-6479	537	3	considered	consider	VERB
ejpam-6479	537	4	,	,	PUNCT
ejpam-6479	537	5	efgs	efg	NOUN
ejpam-6479	537	6	provide	provide	VERB
ejpam-6479	537	7	more	more	ADV
ejpam-6479	537	8	thorough	thorough	ADJ
ejpam-6479	537	9	analytical	analytical	ADJ
ejpam-6479	537	10	insights	insight	NOUN
ejpam-6479	537	11	and	and	CCONJ
ejpam-6479	537	12	enhanced	enhance	VERB
ejpam-6479	537	13	decision	decision	NOUN
ejpam-6479	537	14	-	-	PUNCT
ejpam-6479	537	15	making	make	VERB
ejpam-6479	537	16	precision	precision	NOUN
ejpam-6479	537	17	,	,	PUNCT
ejpam-6479	537	18	particularly	particularly	ADV
ejpam-6479	537	19	in	in	ADP
ejpam-6479	537	20	fields	field	NOUN
ejpam-6479	537	21	where	where	SCONJ
ejpam-6479	537	22	the	the	DET
ejpam-6479	537	23	strength	strength	NOUN
ejpam-6479	537	24	of	of	ADP
ejpam-6479	537	25	linkages	linkage	NOUN
ejpam-6479	537	26	varies	vary	VERB
ejpam-6479	537	27	over	over	ADP
ejpam-6479	537	28	time	time	NOUN
ejpam-6479	537	29	.	.	PUNCT
ejpam-6479	538	1	efgs	efgs	PROPN
ejpam-6479	538	2	circumvent	circumvent	VERB
ejpam-6479	538	3	standard	standard	ADJ
ejpam-6479	538	4	fuzzy	fuzzy	ADJ
ejpam-6479	538	5	graphs	graph	NOUN
ejpam-6479	538	6	’	'	PUNCT
ejpam-6479	538	7	static	static	ADJ
ejpam-6479	538	8	constraints	constraint	NOUN
ejpam-6479	538	9	by	by	ADP
ejpam-6479	538	10	dynamically	dynamically	ADV
ejpam-6479	538	11	simulating	simulate	VERB
ejpam-6479	538	12	the	the	DET
ejpam-6479	538	13	fading	fading	NOUN
ejpam-6479	538	14	of	of	ADP
ejpam-6479	538	15	influence	influence	NOUN
ejpam-6479	538	16	,	,	PUNCT
ejpam-6479	538	17	which	which	PRON
ejpam-6479	538	18	better	well	ADV
ejpam-6479	538	19	reflects	reflect	VERB
ejpam-6479	538	20	the	the	DET
ejpam-6479	538	21	complex	complex	ADJ
ejpam-6479	538	22	behavior	behavior	NOUN
ejpam-6479	538	23	seen	see	VERB
ejpam-6479	538	24	in	in	ADP
ejpam-6479	538	25	many	many	ADJ
ejpam-6479	538	26	real	real	ADJ
ejpam-6479	538	27	-	-	PUNCT
ejpam-6479	538	28	world	world	NOUN
ejpam-6479	538	29	systems	system	NOUN
ejpam-6479	538	30	.	.	PUNCT
ejpam-6479	539	1	4.5	4.5	NUM
ejpam-6479	539	2	.	.	PUNCT
ejpam-6479	540	1	sensitivity	sensitivity	NOUN
ejpam-6479	540	2	analysis	analysis	NOUN
ejpam-6479	540	3	the	the	DET
ejpam-6479	540	4	efficacy	efficacy	NOUN
ejpam-6479	540	5	and	and	CCONJ
ejpam-6479	540	6	conduct	conduct	NOUN
ejpam-6479	540	7	of	of	ADP
ejpam-6479	540	8	the	the	DET
ejpam-6479	540	9	efg	efg	NOUN
ejpam-6479	540	10	model	model	NOUN
ejpam-6479	540	11	are	be	AUX
ejpam-6479	540	12	profoundly	profoundly	ADV
ejpam-6479	540	13	affected	affect	VERB
ejpam-6479	540	14	by	by	ADP
ejpam-6479	540	15	the	the	DET
ejpam-6479	540	16	selection	selection	NOUN
ejpam-6479	540	17	of	of	ADP
ejpam-6479	540	18	two	two	NUM
ejpam-6479	540	19	critical	critical	ADJ
ejpam-6479	540	20	parameters	parameter	NOUN
ejpam-6479	540	21	α	α	INTJ
ejpam-6479	540	22	(	(	PUNCT
ejpam-6479	540	23	the	the	DET
ejpam-6479	540	24	fundamental	fundamental	ADJ
ejpam-6479	540	25	membership	membership	NOUN
ejpam-6479	540	26	value	value	NOUN
ejpam-6479	540	27	)	)	PUNCT
ejpam-6479	540	28	and	and	CCONJ
ejpam-6479	540	29	β	β	X
ejpam-6479	540	30	(	(	PUNCT
ejpam-6479	540	31	the	the	DET
ejpam-6479	540	32	decision	decision	NOUN
ejpam-6479	540	33	threshold	threshold	NOUN
ejpam-6479	540	34	or	or	CCONJ
ejpam-6479	540	35	tolerance	tolerance	NOUN
ejpam-6479	540	36	level	level	NOUN
ejpam-6479	540	37	)	)	PUNCT
ejpam-6479	540	38	.	.	PUNCT
ejpam-6479	541	1	an	an	DET
ejpam-6479	541	2	exponential	exponential	ADJ
ejpam-6479	541	3	decay	decay	NOUN
ejpam-6479	541	4	function	function	NOUN
ejpam-6479	541	5	of	of	ADP
ejpam-6479	541	6	the	the	DET
ejpam-6479	541	7	following	follow	VERB
ejpam-6479	541	8	kind	kind	NOUN
ejpam-6479	541	9	is	be	AUX
ejpam-6479	541	10	used	use	VERB
ejpam-6479	541	11	in	in	ADP
ejpam-6479	541	12	the	the	DET
ejpam-6479	541	13	efg	efg	NOUN
ejpam-6479	541	14	framework	framework	NOUN
ejpam-6479	541	15	to	to	PART
ejpam-6479	541	16	simulate	simulate	VERB
ejpam-6479	541	17	the	the	DET
ejpam-6479	541	18	membership	membership	NOUN
ejpam-6479	541	19	values	value	NOUN
ejpam-6479	541	20	of	of	ADP
ejpam-6479	541	21	vertices	vertex	NOUN
ejpam-6479	541	22	and	and	CCONJ
ejpam-6479	541	23	edges	edge	NOUN
ejpam-6479	541	24	:	:	PUNCT
ejpam-6479	541	25	ϑv	ϑv	ADP
ejpam-6479	541	26	(	(	PUNCT
ejpam-6479	541	27	w	w	NOUN
ejpam-6479	541	28	)	)	PUNCT
ejpam-6479	541	29	=	=	SYM
ejpam-6479	541	30	αv	αv	X
ejpam-6479	541	31	(	(	PUNCT
ejpam-6479	541	32	w	w	NOUN
ejpam-6479	541	33	)	)	PUNCT
ejpam-6479	541	34	·	·	PUNCT
ejpam-6479	541	35	e−λαv	e−λαv	NOUN
ejpam-6479	541	36	(	(	PUNCT
ejpam-6479	541	37	w	w	NOUN
ejpam-6479	541	38	)	)	PUNCT
ejpam-6479	541	39	,	,	PUNCT
ejpam-6479	541	40	ϑe(r	ϑe(r	X
ejpam-6479	541	41	,	,	PUNCT
ejpam-6479	541	42	w	w	NOUN
ejpam-6479	541	43	)	)	PUNCT
ejpam-6479	541	44	=	=	SYM
ejpam-6479	541	45	αe(r	αe(r	X
ejpam-6479	541	46	,	,	PUNCT
ejpam-6479	541	47	w	w	NOUN
ejpam-6479	541	48	)	)	PUNCT
ejpam-6479	541	49	·	·	PUNCT
ejpam-6479	542	1	e−λαe(r	e−λαe(r	NUM
ejpam-6479	542	2	,	,	PUNCT
ejpam-6479	542	3	w	w	NOUN
ejpam-6479	542	4	)	)	PUNCT
ejpam-6479	542	5	∀	∀	X
ejpam-6479	542	6	αv	αv	NOUN
ejpam-6479	542	7	(	(	PUNCT
ejpam-6479	542	8	w	w	NOUN
ejpam-6479	542	9	)	)	PUNCT
ejpam-6479	542	10	,	,	PUNCT
ejpam-6479	542	11	αe(r	αe(r	NUM
ejpam-6479	542	12	,	,	PUNCT
ejpam-6479	542	13	w	w	NOUN
ejpam-6479	542	14	)	)	PUNCT
ejpam-6479	542	15	∈	∈	PROPN
ejpam-6479	543	1	[	[	X
ejpam-6479	543	2	0	0	NUM
ejpam-6479	543	3	,	,	PUNCT
ejpam-6479	543	4	1	1	NUM
ejpam-6479	543	5	]	]	PUNCT
ejpam-6479	543	6	the	the	DET
ejpam-6479	543	7	strength	strength	NOUN
ejpam-6479	543	8	or	or	CCONJ
ejpam-6479	543	9	intensity	intensity	NOUN
ejpam-6479	543	10	of	of	ADP
ejpam-6479	543	11	a	a	DET
ejpam-6479	543	12	vertex	vertex	NOUN
ejpam-6479	543	13	or	or	CCONJ
ejpam-6479	543	14	edge	edge	NOUN
ejpam-6479	543	15	’s	’s	PART
ejpam-6479	543	16	participation	participation	NOUN
ejpam-6479	543	17	in	in	ADP
ejpam-6479	543	18	the	the	DET
ejpam-6479	543	19	fuzzy	fuzzy	ADJ
ejpam-6479	543	20	graph	graph	NOUN
ejpam-6479	543	21	structure	structure	NOUN
ejpam-6479	543	22	is	be	AUX
ejpam-6479	543	23	mostly	mostly	ADV
ejpam-6479	543	24	determined	determine	VERB
ejpam-6479	543	25	by	by	ADP
ejpam-6479	543	26	the	the	DET
ejpam-6479	543	27	parameter	parameter	NOUN
ejpam-6479	543	28	α	α	NOUN
ejpam-6479	543	29	.	.	PUNCT
ejpam-6479	544	1	while	while	SCONJ
ejpam-6479	544	2	a	a	DET
ejpam-6479	544	3	large	large	ADJ
ejpam-6479	544	4	α	α	NOUN
ejpam-6479	544	5	also	also	ADV
ejpam-6479	544	6	results	result	VERB
ejpam-6479	544	7	in	in	ADP
ejpam-6479	544	8	a	a	DET
ejpam-6479	544	9	reduced	reduced	ADJ
ejpam-6479	544	10	membership	membership	NOUN
ejpam-6479	544	11	because	because	SCONJ
ejpam-6479	544	12	of	of	ADP
ejpam-6479	544	13	the	the	DET
ejpam-6479	544	14	exponential	exponential	ADJ
ejpam-6479	544	15	decay	decay	NOUN
ejpam-6479	544	16	,	,	PUNCT
ejpam-6479	544	17	a	a	DET
ejpam-6479	544	18	small	small	ADJ
ejpam-6479	544	19	α	α	NOUN
ejpam-6479	544	20	produces	produce	VERB
ejpam-6479	544	21	a	a	DET
ejpam-6479	544	22	proportionately	proportionately	ADV
ejpam-6479	544	23	small	small	ADJ
ejpam-6479	544	24	membership	membership	NOUN
ejpam-6479	544	25	number	number	NOUN
ejpam-6479	544	26	.	.	PUNCT
ejpam-6479	545	1	the	the	DET
ejpam-6479	545	2	efg	efg	PROPN
ejpam-6479	545	3	model	model	NOUN
ejpam-6479	545	4	supports	support	VERB
ejpam-6479	545	5	moderate	moderate	ADJ
ejpam-6479	545	6	values	value	NOUN
ejpam-6479	545	7	of	of	ADP
ejpam-6479	545	8	α	α	NOUN
ejpam-6479	545	9	for	for	ADP
ejpam-6479	545	10	maximal	maximal	ADJ
ejpam-6479	545	11	influence	influence	NOUN
ejpam-6479	545	12	,	,	PUNCT
ejpam-6479	545	13	as	as	SCONJ
ejpam-6479	545	14	the	the	DET
ejpam-6479	545	15	function	function	NOUN
ejpam-6479	545	16	achieves	achieve	VERB
ejpam-6479	545	17	its	its	PRON
ejpam-6479	545	18	maximum	maximum	NOUN
ejpam-6479	545	19	at	at	ADP
ejpam-6479	545	20	α	α	NOUN
ejpam-6479	545	21	=	=	SYM
ejpam-6479	545	22	1	1	NUM
ejpam-6479	545	23	λ	λ	NOUN
ejpam-6479	545	24	.	.	PUNCT
ejpam-6479	546	1	therefore	therefore	ADV
ejpam-6479	546	2	,	,	PUNCT
ejpam-6479	546	3	properly	properly	ADV
ejpam-6479	546	4	adjusting	adjust	VERB
ejpam-6479	546	5	α	α	PRON
ejpam-6479	546	6	guarantees	guarantee	NOUN
ejpam-6479	546	7	that	that	SCONJ
ejpam-6479	546	8	important	important	ADJ
ejpam-6479	546	9	vertices	vertex	NOUN
ejpam-6479	546	10	and	and	CCONJ
ejpam-6479	546	11	edges	edge	NOUN
ejpam-6479	546	12	are	be	AUX
ejpam-6479	546	13	preserved	preserve	VERB
ejpam-6479	546	14	while	while	SCONJ
ejpam-6479	546	15	weaker	weak	ADJ
ejpam-6479	546	16	relationships	relationship	NOUN
ejpam-6479	546	17	are	be	AUX
ejpam-6479	546	18	organically	organically	ADV
ejpam-6479	546	19	filtered	filter	VERB
ejpam-6479	546	20	out	out	ADP
ejpam-6479	546	21	through	through	ADP
ejpam-6479	546	22	decay	decay	NOUN
ejpam-6479	546	23	.	.	PUNCT
ejpam-6479	547	1	overall	overall	ADV
ejpam-6479	547	2	,	,	PUNCT
ejpam-6479	547	3	the	the	DET
ejpam-6479	547	4	sensitivity	sensitivity	NOUN
ejpam-6479	547	5	analysis	analysis	NOUN
ejpam-6479	547	6	validates	validate	VERB
ejpam-6479	547	7	the	the	DET
ejpam-6479	547	8	dynamic	dynamic	ADJ
ejpam-6479	547	9	adaptability	adaptability	NOUN
ejpam-6479	547	10	of	of	ADP
ejpam-6479	547	11	the	the	DET
ejpam-6479	547	12	efg	efg	NOUN
ejpam-6479	547	13	model	model	NOUN
ejpam-6479	547	14	and	and	CCONJ
ejpam-6479	547	15	its	its	PRON
ejpam-6479	547	16	effectiveness	effectiveness	NOUN
ejpam-6479	547	17	in	in	ADP
ejpam-6479	547	18	capturing	capture	VERB
ejpam-6479	547	19	the	the	DET
ejpam-6479	547	20	nuanced	nuanced	ADJ
ejpam-6479	547	21	impact	impact	NOUN
ejpam-6479	547	22	of	of	ADP
ejpam-6479	547	23	pollution	pollution	NOUN
ejpam-6479	547	24	indicators	indicator	NOUN
ejpam-6479	547	25	.	.	PUNCT
ejpam-6479	548	1	it	it	PRON
ejpam-6479	548	2	further	far	ADV
ejpam-6479	548	3	highlights	highlight	VERB
ejpam-6479	548	4	the	the	DET
ejpam-6479	548	5	importance	importance	NOUN
ejpam-6479	548	6	of	of	ADP
ejpam-6479	548	7	parameter	parameter	NOUN
ejpam-6479	548	8	tuning	tune	VERB
ejpam-6479	548	9	in	in	ADP
ejpam-6479	548	10	practical	practical	ADJ
ejpam-6479	548	11	implementations	implementation	NOUN
ejpam-6479	548	12	,	,	PUNCT
ejpam-6479	548	13	ensuring	ensure	VERB
ejpam-6479	548	14	the	the	DET
ejpam-6479	548	15	decision	decision	NOUN
ejpam-6479	548	16	-	-	PUNCT
ejpam-6479	548	17	making	make	VERB
ejpam-6479	548	18	process	process	NOUN
ejpam-6479	548	19	remains	remain	VERB
ejpam-6479	548	20	both	both	DET
ejpam-6479	548	21	data	datum	NOUN
ejpam-6479	548	22	sensitive	sensitive	ADJ
ejpam-6479	548	23	and	and	CCONJ
ejpam-6479	548	24	context	context	NOUN
ejpam-6479	548	25	-	-	PUNCT
ejpam-6479	548	26	aware	aware	ADJ
ejpam-6479	548	27	.	.	PUNCT
ejpam-6479	549	1	5	5	X
ejpam-6479	549	2	.	.	X
ejpam-6479	549	3	conclusion	conclusion	VERB
ejpam-6479	549	4	the	the	DET
ejpam-6479	549	5	degree	degree	NOUN
ejpam-6479	549	6	-	-	PUNCT
ejpam-6479	549	7	based	base	VERB
ejpam-6479	549	8	efg	efg	NOUN
ejpam-6479	549	9	was	be	AUX
ejpam-6479	549	10	presented	present	VERB
ejpam-6479	549	11	in	in	ADP
ejpam-6479	549	12	this	this	DET
ejpam-6479	549	13	work	work	NOUN
ejpam-6479	549	14	as	as	ADP
ejpam-6479	549	15	a	a	DET
ejpam-6479	549	16	potent	potent	ADJ
ejpam-6479	549	17	tool	tool	NOUN
ejpam-6479	549	18	for	for	ADP
ejpam-6479	549	19	simulating	simulate	VERB
ejpam-6479	549	20	uncertainty	uncertainty	NOUN
ejpam-6479	549	21	and	and	CCONJ
ejpam-6479	549	22	decay	decay	NOUN
ejpam-6479	549	23	in	in	ADP
ejpam-6479	549	24	real	real	ADJ
ejpam-6479	549	25	-	-	PUNCT
ejpam-6479	549	26	world	world	NOUN
ejpam-6479	549	27	systems	system	NOUN
ejpam-6479	549	28	,	,	PUNCT
ejpam-6479	549	29	particularly	particularly	ADV
ejpam-6479	549	30	for	for	ADP
ejpam-6479	549	31	the	the	DET
ejpam-6479	549	32	analysis	analysis	NOUN
ejpam-6479	549	33	of	of	ADP
ejpam-6479	549	34	environmental	environmental	ADJ
ejpam-6479	549	35	pollutants	pollutant	NOUN
ejpam-6479	549	36	.	.	PUNCT
ejpam-6479	550	1	a	a	DET
ejpam-6479	550	2	dynamic	dynamic	ADJ
ejpam-6479	550	3	improvement	improvement	NOUN
ejpam-6479	550	4	over	over	ADP
ejpam-6479	550	5	conventional	conventional	ADJ
ejpam-6479	550	6	fuzzy	fuzzy	ADJ
ejpam-6479	550	7	graphs	graph	NOUN
ejpam-6479	550	8	,	,	PUNCT
ejpam-6479	550	9	efgs	efg	NOUN
ejpam-6479	550	10	incorporate	incorporate	VERB
ejpam-6479	550	11	exponential	exponential	ADJ
ejpam-6479	550	12	decay	decay	NOUN
ejpam-6479	550	13	parameter	parameter	NOUN
ejpam-6479	550	14	λ	λ	PROPN
ejpam-6479	550	15	≥	≥	NOUN
ejpam-6479	550	16	0	0	NUM
ejpam-6479	550	17	into	into	ADP
ejpam-6479	550	18	the	the	DET
ejpam-6479	550	19	membership	membership	NOUN
ejpam-6479	550	20	functions	function	NOUN
ejpam-6479	550	21	of	of	ADP
ejpam-6479	550	22	vertices	vertex	NOUN
ejpam-6479	550	23	and	and	CCONJ
ejpam-6479	550	24	edges	edge	NOUN
ejpam-6479	550	25	.	.	PUNCT
ejpam-6479	551	1	we	we	PRON
ejpam-6479	551	2	extended	extend	VERB
ejpam-6479	551	3	the	the	DET
ejpam-6479	551	4	concept	concept	NOUN
ejpam-6479	551	5	to	to	ADP
ejpam-6479	551	6	different	different	ADJ
ejpam-6479	551	7	graph	graph	NOUN
ejpam-6479	551	8	operations	operation	NOUN
ejpam-6479	551	9	with	with	ADP
ejpam-6479	551	10	corresponding	correspond	VERB
ejpam-6479	551	11	examples	example	NOUN
ejpam-6479	551	12	and	and	CCONJ
ejpam-6479	551	13	theorems	theorem	NOUN
ejpam-6479	551	14	,	,	PUNCT
ejpam-6479	551	15	and	and	CCONJ
ejpam-6479	551	16	we	we	PRON
ejpam-6479	551	17	looked	look	VERB
ejpam-6479	551	18	at	at	ADP
ejpam-6479	551	19	important	important	ADJ
ejpam-6479	551	20	aspects	aspect	NOUN
ejpam-6479	551	21	like	like	ADP
ejpam-6479	551	22	degree	degree	NOUN
ejpam-6479	551	23	,	,	PUNCT
ejpam-6479	551	24	order	order	NOUN
ejpam-6479	551	25	,	,	PUNCT
ejpam-6479	551	26	and	and	CCONJ
ejpam-6479	551	27	size	size	NOUN
ejpam-6479	551	28	.	.	PUNCT
ejpam-6479	552	1	the	the	DET
ejpam-6479	552	2	efg	efg	NOUN
ejpam-6479	552	3	’s	’s	PART
ejpam-6479	552	4	capacity	capacity	NOUN
ejpam-6479	552	5	to	to	PART
ejpam-6479	552	6	more	more	ADV
ejpam-6479	552	7	accurately	accurately	ADV
ejpam-6479	552	8	depict	depict	VERB
ejpam-6479	552	9	deteriorating	deteriorate	VERB
ejpam-6479	552	10	interactions	interaction	NOUN
ejpam-6479	552	11	among	among	ADP
ejpam-6479	552	12	environmental	environmental	ADJ
ejpam-6479	552	13	parameters	parameter	NOUN
ejpam-6479	552	14	was	be	AUX
ejpam-6479	552	15	shown	show	VERB
ejpam-6479	552	16	by	by	ADP
ejpam-6479	552	17	its	its	PRON
ejpam-6479	552	18	application	application	NOUN
ejpam-6479	552	19	to	to	ADP
ejpam-6479	552	20	pollution	pollution	NOUN
ejpam-6479	552	21	effect	effect	NOUN
ejpam-6479	552	22	assessments	assessment	NOUN
ejpam-6479	552	23	.	.	PUNCT
ejpam-6479	553	1	the	the	DET
ejpam-6479	553	2	proposed	propose	VERB
ejpam-6479	553	3	model	model	NOUN
ejpam-6479	553	4	improves	improve	VERB
ejpam-6479	553	5	fuzzy	fuzzy	ADJ
ejpam-6479	553	6	graph	graph	NOUN
ejpam-6479	553	7	theory	theory	NOUN
ejpam-6479	553	8	’s	’s	PART
ejpam-6479	553	9	accuracy	accuracy	NOUN
ejpam-6479	553	10	in	in	ADP
ejpam-6479	553	11	ambiguous	ambiguous	ADJ
ejpam-6479	553	12	and	and	CCONJ
ejpam-6479	553	13	time	time	NOUN
ejpam-6479	553	14	-	-	PUNCT
ejpam-6479	553	15	sensitive	sensitive	ADJ
ejpam-6479	553	16	situations	situation	NOUN
ejpam-6479	553	17	,	,	PUNCT
ejpam-6479	553	18	with	with	ADP
ejpam-6479	553	19	great	great	ADJ
ejpam-6479	553	20	promise	promise	NOUN
ejpam-6479	553	21	for	for	ADP
ejpam-6479	553	22	use	use	NOUN
ejpam-6479	553	23	in	in	ADP
ejpam-6479	553	24	sustainability	sustainability	NOUN
ejpam-6479	553	25	,	,	PUNCT
ejpam-6479	553	26	environmental	environmental	ADJ
ejpam-6479	553	27	monitoring	monitoring	NOUN
ejpam-6479	553	28	,	,	PUNCT
ejpam-6479	553	29	and	and	CCONJ
ejpam-6479	553	30	decision	decision	NOUN
ejpam-6479	553	31	-	-	PUNCT
ejpam-6479	553	32	making	making	NOUN
ejpam-6479	553	33	.	.	PUNCT
ejpam-6479	554	1	w.	w.	PROPN
ejpam-6479	554	2	f.	f.	PROPN
ejpam-6479	554	3	al	al	PROPN
ejpam-6479	554	4	-	-	PUNCT
ejpam-6479	554	5	omeri	omeri	PROPN
ejpam-6479	554	6	et	et	PROPN
ejpam-6479	554	7	al	al	PROPN
ejpam-6479	554	8	.	.	PUNCT
ejpam-6479	554	9	/	/	SYM
ejpam-6479	554	10	eur	eur	PROPN
ejpam-6479	554	11	.	.	PUNCT
ejpam-6479	555	1	j.	j.	PROPN
ejpam-6479	555	2	pure	pure	PROPN
ejpam-6479	555	3	appl	appl	PROPN
ejpam-6479	555	4	.	.	PROPN
ejpam-6479	555	5	math	math	PROPN
ejpam-6479	555	6	,	,	PUNCT
ejpam-6479	555	7	18	18	NUM
ejpam-6479	555	8	(	(	PUNCT
ejpam-6479	555	9	3	3	NUM
ejpam-6479	555	10	)	)	PUNCT
ejpam-6479	555	11	(	(	PUNCT
ejpam-6479	555	12	2025	2025	NUM
ejpam-6479	555	13	)	)	PUNCT
ejpam-6479	555	14	,	,	PUNCT
ejpam-6479	555	15	6479	6479	NUM
ejpam-6479	555	16	27	27	NUM
ejpam-6479	555	17	of	of	ADP
ejpam-6479	555	18	28	28	NUM
ejpam-6479	555	19	future	future	ADJ
ejpam-6479	555	20	work	work	NOUN
ejpam-6479	555	21	constructing	construct	VERB
ejpam-6479	555	22	exponential	exponential	ADJ
ejpam-6479	555	23	fuzzy	fuzzy	ADJ
ejpam-6479	555	24	networks	network	NOUN
ejpam-6479	555	25	with	with	ADP
ejpam-6479	555	26	intuitionistic	intuitionistic	ADJ
ejpam-6479	555	27	or	or	CCONJ
ejpam-6479	555	28	neutrosophic	neutrosophic	ADJ
ejpam-6479	555	29	membership	membership	NOUN
ejpam-6479	555	30	functions	function	NOUN
ejpam-6479	555	31	to	to	PART
ejpam-6479	555	32	reflect	reflect	VERB
ejpam-6479	555	33	indeterminacy	indeterminacy	NOUN
ejpam-6479	555	34	,	,	PUNCT
ejpam-6479	555	35	hesitancy	hesitancy	NOUN
ejpam-6479	555	36	and	and	CCONJ
ejpam-6479	555	37	uncertainty	uncertainty	NOUN
ejpam-6479	555	38	in	in	ADP
ejpam-6479	555	39	complicated	complicated	ADJ
ejpam-6479	555	40	systems	system	NOUN
ejpam-6479	555	41	.	.	PUNCT
ejpam-6479	556	1	integrating	integrate	VERB
ejpam-6479	556	2	efgs	efg	NOUN
ejpam-6479	556	3	into	into	ADP
ejpam-6479	556	4	frameworks	framework	NOUN
ejpam-6479	556	5	for	for	ADP
ejpam-6479	556	6	optimisation	optimisation	NOUN
ejpam-6479	556	7	and	and	CCONJ
ejpam-6479	556	8	multi	multi	ADJ
ejpam-6479	556	9	-	-	ADJ
ejpam-6479	556	10	criteria	criterion	NOUN
ejpam-6479	556	11	decision	decision	NOUN
ejpam-6479	556	12	-	-	PUNCT
ejpam-6479	556	13	making	making	NOUN
ejpam-6479	556	14	(	(	PUNCT
ejpam-6479	556	15	mcdm	mcdm	ADJ
ejpam-6479	556	16	)	)	PUNCT
ejpam-6479	556	17	to	to	PART
ejpam-6479	556	18	enhance	enhance	VERB
ejpam-6479	556	19	the	the	DET
ejpam-6479	556	20	management	management	NOUN
ejpam-6479	556	21	of	of	ADP
ejpam-6479	556	22	deteriorating	deteriorate	VERB
ejpam-6479	556	23	and	and	CCONJ
ejpam-6479	556	24	uncertain	uncertain	ADJ
ejpam-6479	556	25	data	datum	NOUN
ejpam-6479	556	26	in	in	ADP
ejpam-6479	556	27	real	real	ADJ
ejpam-6479	556	28	-	-	PUNCT
ejpam-6479	556	29	world	world	NOUN
ejpam-6479	556	30	situations	situation	NOUN
ejpam-6479	556	31	such	such	ADJ
ejpam-6479	556	32	as	as	ADP
ejpam-6479	556	33	risk	risk	NOUN
ejpam-6479	556	34	assessment	assessment	NOUN
ejpam-6479	556	35	and	and	CCONJ
ejpam-6479	556	36	environmental	environmental	ADJ
ejpam-6479	556	37	management	management	NOUN
ejpam-6479	556	38	.	.	PUNCT
ejpam-6479	557	1	references	reference	NOUN
ejpam-6479	557	2	[	[	X
ejpam-6479	557	3	1	1	NUM
ejpam-6479	557	4	]	]	PUNCT
ejpam-6479	557	5	l.	l.	PROPN
ejpam-6479	557	6	a.	a.	PROPN
ejpam-6479	557	7	zadeh	zadeh	PROPN
ejpam-6479	557	8	.	.	PUNCT
ejpam-6479	558	1	fuzzy	fuzzy	ADJ
ejpam-6479	558	2	sets	set	NOUN
ejpam-6479	558	3	.	.	PUNCT
ejpam-6479	559	1	information	information	NOUN
ejpam-6479	559	2	and	and	CCONJ
ejpam-6479	559	3	control	control	NOUN
ejpam-6479	559	4	,	,	PUNCT
ejpam-6479	559	5	8(3):338–353	8(3):338–353	NUM
ejpam-6479	559	6	,	,	PUNCT
ejpam-6479	559	7	1965	1965	NUM
ejpam-6479	559	8	.	.	PUNCT
ejpam-6479	560	1	[	[	X
ejpam-6479	560	2	2	2	NUM
ejpam-6479	560	3	]	]	PUNCT
ejpam-6479	560	4	a.	a.	NOUN
ejpam-6479	560	5	rosenfeld	rosenfeld	PROPN
ejpam-6479	560	6	.	.	PUNCT
ejpam-6479	561	1	fuzzy	fuzzy	ADJ
ejpam-6479	561	2	graphs	graph	NOUN
ejpam-6479	561	3	.	.	PUNCT
ejpam-6479	562	1	in	in	ADP
ejpam-6479	562	2	fuzzy	fuzzy	ADJ
ejpam-6479	562	3	sets	set	NOUN
ejpam-6479	562	4	and	and	CCONJ
ejpam-6479	562	5	their	their	PRON
ejpam-6479	562	6	applications	application	NOUN
ejpam-6479	562	7	to	to	PART
ejpam-6479	562	8	cognitive	cognitive	VERB
ejpam-6479	562	9	and	and	CCONJ
ejpam-6479	562	10	decision	decision	NOUN
ejpam-6479	562	11	processes	process	NOUN
ejpam-6479	562	12	,	,	PUNCT
ejpam-6479	562	13	pages	page	NOUN
ejpam-6479	562	14	77–95	77–95	NUM
ejpam-6479	562	15	.	.	PUNCT
ejpam-6479	562	16	academic	academic	ADJ
ejpam-6479	562	17	press	press	NOUN
ejpam-6479	562	18	,	,	PUNCT
ejpam-6479	562	19	1975	1975	NUM
ejpam-6479	562	20	.	.	PUNCT
ejpam-6479	563	1	[	[	X
ejpam-6479	563	2	3	3	X
ejpam-6479	563	3	]	]	PUNCT
ejpam-6479	563	4	j.	j.	PROPN
ejpam-6479	563	5	n.	n.	PROPN
ejpam-6479	563	6	mordeson	mordeson	PROPN
ejpam-6479	563	7	and	and	CCONJ
ejpam-6479	563	8	p.	p.	PROPN
ejpam-6479	563	9	s.	s.	PROPN
ejpam-6479	563	10	nair	nair	PROPN
ejpam-6479	563	11	.	.	PUNCT
ejpam-6479	564	1	fuzzy	fuzzy	ADJ
ejpam-6479	564	2	graph	graph	NOUN
ejpam-6479	564	3	and	and	CCONJ
ejpam-6479	564	4	fuzzy	fuzzy	ADJ
ejpam-6479	564	5	hypergraphs	hypergraph	NOUN
ejpam-6479	564	6	.	.	PUNCT
ejpam-6479	565	1	physica	physica	NOUN
ejpam-6479	565	2	-	-	PUNCT
ejpam-6479	565	3	verlag	verlag	PROPN
ejpam-6479	565	4	,	,	PUNCT
ejpam-6479	565	5	heidelberg	heidelberg	PROPN
ejpam-6479	565	6	,	,	PUNCT
ejpam-6479	565	7	germany	germany	PROPN
ejpam-6479	565	8	,	,	PUNCT
ejpam-6479	565	9	2000	2000	NUM
ejpam-6479	565	10	.	.	PUNCT
ejpam-6479	566	1	[	[	X
ejpam-6479	566	2	4	4	X
ejpam-6479	566	3	]	]	PUNCT
ejpam-6479	566	4	j.	j.	PROPN
ejpam-6479	566	5	n.	n.	PROPN
ejpam-6479	566	6	mordeson	mordeson	PROPN
ejpam-6479	566	7	and	and	CCONJ
ejpam-6479	566	8	c.	c.	PROPN
ejpam-6479	566	9	s.	s.	PROPN
ejpam-6479	566	10	peng	peng	PROPN
ejpam-6479	566	11	.	.	PUNCT
ejpam-6479	567	1	fuzzy	fuzzy	ADJ
ejpam-6479	567	2	graph	graph	NOUN
ejpam-6479	567	3	theory	theory	NOUN
ejpam-6479	567	4	with	with	ADP
ejpam-6479	567	5	applications	application	NOUN
ejpam-6479	567	6	to	to	ADP
ejpam-6479	567	7	human	human	ADJ
ejpam-6479	567	8	trafficking	trafficking	NOUN
ejpam-6479	567	9	.	.	PUNCT
ejpam-6479	568	1	springer	springer	NOUN
ejpam-6479	568	2	,	,	PUNCT
ejpam-6479	568	3	2000	2000	NUM
ejpam-6479	568	4	.	.	PUNCT
ejpam-6479	569	1	[	[	X
ejpam-6479	569	2	5	5	X
ejpam-6479	569	3	]	]	PUNCT
ejpam-6479	569	4	l.	l.	PROPN
ejpam-6479	569	5	n.	n.	PROPN
ejpam-6479	569	6	mcallister	mcallister	PROPN
ejpam-6479	569	7	.	.	PUNCT
ejpam-6479	570	1	fuzzy	fuzzy	ADJ
ejpam-6479	570	2	graphs	graph	NOUN
ejpam-6479	570	3	and	and	CCONJ
ejpam-6479	570	4	networks	network	NOUN
ejpam-6479	570	5	repairs	repair	NOUN
ejpam-6479	570	6	.	.	PUNCT
ejpam-6479	571	1	international	international	ADJ
ejpam-6479	571	2	journal	journal	NOUN
ejpam-6479	571	3	of	of	ADP
ejpam-6479	571	4	computer	computer	NOUN
ejpam-6479	571	5	mathematics	mathematic	NOUN
ejpam-6479	571	6	,	,	PUNCT
ejpam-6479	571	7	80(11):1337–1342	80(11):1337–1342	NUM
ejpam-6479	571	8	,	,	PUNCT
ejpam-6479	571	9	2003	2003	NUM
ejpam-6479	571	10	.	.	PUNCT
ejpam-6479	572	1	[	[	X
ejpam-6479	572	2	6	6	NUM
ejpam-6479	572	3	]	]	PUNCT
ejpam-6479	572	4	r.	r.	PROPN
ejpam-6479	572	5	parvathi	parvathi	PROPN
ejpam-6479	572	6	and	and	CCONJ
ejpam-6479	572	7	g.	g.	PROPN
ejpam-6479	572	8	karunambigai	karunambigai	PROPN
ejpam-6479	572	9	.	.	PUNCT
ejpam-6479	572	10	bipolar	bipolar	ADJ
ejpam-6479	572	11	fuzzy	fuzzy	ADJ
ejpam-6479	572	12	graphs	graph	NOUN
ejpam-6479	572	13	.	.	PUNCT
ejpam-6479	573	1	international	international	ADJ
ejpam-6479	573	2	journal	journal	PROPN
ejpam-6479	573	3	of	of	ADP
ejpam-6479	573	4	computer	computer	NOUN
ejpam-6479	573	5	applications	application	NOUN
ejpam-6479	573	6	,	,	PUNCT
ejpam-6479	573	7	8(4):1–5	8(4):1–5	NUM
ejpam-6479	573	8	,	,	PUNCT
ejpam-6479	573	9	2009	2009	NUM
ejpam-6479	573	10	.	.	PUNCT
ejpam-6479	574	1	[	[	X
ejpam-6479	574	2	7	7	X
ejpam-6479	574	3	]	]	X
ejpam-6479	574	4	s.	s.	PROPN
ejpam-6479	574	5	samanta	samanta	PROPN
ejpam-6479	574	6	and	and	CCONJ
ejpam-6479	574	7	m.	m.	PROPN
ejpam-6479	574	8	pal	pal	PROPN
ejpam-6479	574	9	.	.	PUNCT
ejpam-6479	575	1	fuzzy	fuzzy	ADJ
ejpam-6479	575	2	tolerance	tolerance	NOUN
ejpam-6479	575	3	graphs	graph	NOUN
ejpam-6479	575	4	.	.	PUNCT
ejpam-6479	576	1	information	information	NOUN
ejpam-6479	576	2	sciences	sciences	PROPN
ejpam-6479	576	3	,	,	PUNCT
ejpam-6479	576	4	181(6):1101	181(6):1101	PROPN
ejpam-6479	576	5	–	–	PUNCT
ejpam-6479	576	6	1111	1111	NUM
ejpam-6479	576	7	,	,	PUNCT
ejpam-6479	576	8	2011	2011	NUM
ejpam-6479	576	9	.	.	PUNCT
ejpam-6479	577	1	[	[	X
ejpam-6479	577	2	8	8	X
ejpam-6479	577	3	]	]	X
ejpam-6479	577	4	muhammad	muhammad	PROPN
ejpam-6479	577	5	akram	akram	PROPN
ejpam-6479	577	6	.	.	PUNCT
ejpam-6479	578	1	bipolar	bipolar	ADJ
ejpam-6479	578	2	fuzzy	fuzzy	ADJ
ejpam-6479	578	3	graphs	graph	NOUN
ejpam-6479	578	4	.	.	PUNCT
ejpam-6479	579	1	information	information	NOUN
ejpam-6479	579	2	sciences	sciences	PROPN
ejpam-6479	579	3	,	,	PUNCT
ejpam-6479	579	4	181(24):5548–5564	181(24):5548–5564	NUM
ejpam-6479	579	5	,	,	PUNCT
ejpam-6479	579	6	2011	2011	NUM
ejpam-6479	579	7	.	.	PUNCT
ejpam-6479	580	1	[	[	X
ejpam-6479	580	2	9	9	NUM
ejpam-6479	580	3	]	]	X
ejpam-6479	580	4	y.	y.	PROPN
ejpam-6479	580	5	b.	b.	PROPN
ejpam-6479	580	6	jun	jun	PROPN
ejpam-6479	580	7	,	,	PUNCT
ejpam-6479	580	8	c.	c.	PROPN
ejpam-6479	580	9	h.	h.	PROPN
ejpam-6479	580	10	kim	kim	PROPN
ejpam-6479	580	11	,	,	PUNCT
ejpam-6479	580	12	and	and	CCONJ
ejpam-6479	580	13	s.	s.	PROPN
ejpam-6479	580	14	z.	z.	PROPN
ejpam-6479	580	15	song	song	PROPN
ejpam-6479	580	16	.	.	PUNCT
ejpam-6479	581	1	interval	interval	NOUN
ejpam-6479	581	2	-	-	PUNCT
ejpam-6479	581	3	valued	value	VERB
ejpam-6479	581	4	intuitionistic	intuitionistic	ADJ
ejpam-6479	581	5	fuzzy	fuzzy	ADJ
ejpam-6479	581	6	graphs	graph	NOUN
ejpam-6479	581	7	.	.	PUNCT
ejpam-6479	582	1	information	information	NOUN
ejpam-6479	582	2	sciences	sciences	PROPN
ejpam-6479	582	3	,	,	PUNCT
ejpam-6479	582	4	278:601–612	278:601–612	NUM
ejpam-6479	582	5	,	,	PUNCT
ejpam-6479	582	6	2014	2014	NUM
ejpam-6479	582	7	.	.	PUNCT
ejpam-6479	583	1	[	[	X
ejpam-6479	583	2	10	10	NUM
ejpam-6479	583	3	]	]	X
ejpam-6479	583	4	g.	g.	PROPN
ejpam-6479	583	5	k.	k.	PROPN
ejpam-6479	583	6	thakur	thakur	PROPN
ejpam-6479	583	7	,	,	PUNCT
ejpam-6479	583	8	b.	b.	PROPN
ejpam-6479	583	9	priya	priya	PROPN
ejpam-6479	583	10	,	,	PUNCT
ejpam-6479	583	11	and	and	CCONJ
ejpam-6479	583	12	s.	s.	PROPN
ejpam-6479	583	13	pawan	pawan	PROPN
ejpam-6479	583	14	kumar	kumar	PROPN
ejpam-6479	583	15	.	.	PUNCT
ejpam-6479	584	1	a	a	DET
ejpam-6479	584	2	novel	novel	ADJ
ejpam-6479	584	3	fuzzy	fuzzy	ADJ
ejpam-6479	584	4	graph	graph	NOUN
ejpam-6479	584	5	theory	theory	NOUN
ejpam-6479	584	6	-	-	PUNCT
ejpam-6479	584	7	based	base	VERB
ejpam-6479	584	8	approach	approach	NOUN
ejpam-6479	584	9	for	for	ADP
ejpam-6479	584	10	image	image	NOUN
ejpam-6479	584	11	representation	representation	NOUN
ejpam-6479	584	12	and	and	CCONJ
ejpam-6479	584	13	segmentation	segmentation	NOUN
ejpam-6479	584	14	via	via	ADP
ejpam-6479	584	15	graph	graph	NOUN
ejpam-6479	584	16	coloring	coloring	NOUN
ejpam-6479	584	17	.	.	PUNCT
ejpam-6479	585	1	journal	journal	PROPN
ejpam-6479	585	2	of	of	ADP
ejpam-6479	585	3	applied	apply	VERB
ejpam-6479	585	4	security	security	NOUN
ejpam-6479	585	5	research	research	NOUN
ejpam-6479	585	6	,	,	PUNCT
ejpam-6479	585	7	14(1):74–87	14(1):74–87	NUM
ejpam-6479	585	8	,	,	PUNCT
ejpam-6479	585	9	2019	2019	NUM
ejpam-6479	585	10	.	.	PUNCT
ejpam-6479	586	1	[	[	X
ejpam-6479	586	2	11	11	NUM
ejpam-6479	586	3	]	]	PUNCT
ejpam-6479	586	4	s.	s.	PROPN
ejpam-6479	586	5	mariappan	mariappan	PROPN
ejpam-6479	586	6	,	,	PUNCT
ejpam-6479	586	7	s.	s.	PROPN
ejpam-6479	586	8	ramalingam	ramalingam	PROPN
ejpam-6479	586	9	,	,	PUNCT
ejpam-6479	586	10	s.	s.	PROPN
ejpam-6479	586	11	raman	raman	PROPN
ejpam-6479	586	12	,	,	PUNCT
ejpam-6479	586	13	and	and	CCONJ
ejpam-6479	586	14	g.	g.	PROPN
ejpam-6479	586	15	bacak	bacak	PROPN
ejpam-6479	586	16	-	-	PUNCT
ejpam-6479	586	17	turan	turan	NOUN
ejpam-6479	586	18	.	.	PUNCT
ejpam-6479	586	19	domination	domination	NOUN
ejpam-6479	586	20	integrity	integrity	NOUN
ejpam-6479	586	21	and	and	CCONJ
ejpam-6479	586	22	efficient	efficient	ADJ
ejpam-6479	586	23	fuzzy	fuzzy	ADJ
ejpam-6479	586	24	graphs	graph	NOUN
ejpam-6479	586	25	.	.	PUNCT
ejpam-6479	587	1	neural	neural	ADJ
ejpam-6479	587	2	computing	computing	NOUN
ejpam-6479	587	3	and	and	CCONJ
ejpam-6479	587	4	applications	application	NOUN
ejpam-6479	587	5	,	,	PUNCT
ejpam-6479	587	6	32:10263–10273	32:10263–10273	NUM
ejpam-6479	587	7	,	,	PUNCT
ejpam-6479	587	8	2020	2020	NUM
ejpam-6479	587	9	.	.	PUNCT
ejpam-6479	588	1	[	[	X
ejpam-6479	588	2	12	12	NUM
ejpam-6479	588	3	]	]	X
ejpam-6479	588	4	g.	g.	PROPN
ejpam-6479	588	5	muhiuddin	muhiuddin	PROPN
ejpam-6479	588	6	,	,	PUNCT
ejpam-6479	588	7	t.	t.	PROPN
ejpam-6479	588	8	mahapatra	mahapatra	PROPN
ejpam-6479	588	9	,	,	PUNCT
ejpam-6479	588	10	m.	m.	NOUN
ejpam-6479	588	11	pal	pal	NOUN
ejpam-6479	588	12	,	,	PUNCT
ejpam-6479	588	13	o.	o.	NOUN
ejpam-6479	588	14	alshahrani	alshahrani	NOUN
ejpam-6479	588	15	,	,	PUNCT
ejpam-6479	588	16	and	and	CCONJ
ejpam-6479	588	17	a.	a.	NOUN
ejpam-6479	588	18	mahboob	mahboob	PROPN
ejpam-6479	588	19	.	.	PUNCT
ejpam-6479	589	1	integrity	integrity	NOUN
ejpam-6479	589	2	on	on	ADP
ejpam-6479	589	3	m	m	ADJ
ejpam-6479	589	4	-	-	ADJ
ejpam-6479	589	5	polar	polar	ADJ
ejpam-6479	589	6	fuzzy	fuzzy	ADJ
ejpam-6479	589	7	graphs	graph	NOUN
ejpam-6479	589	8	and	and	CCONJ
ejpam-6479	589	9	its	its	PRON
ejpam-6479	589	10	application	application	NOUN
ejpam-6479	589	11	.	.	PUNCT
ejpam-6479	590	1	mathematics	mathematic	NOUN
ejpam-6479	590	2	,	,	PUNCT
ejpam-6479	590	3	11(6):1398	11(6):1398	NUM
ejpam-6479	590	4	,	,	PUNCT
ejpam-6479	590	5	2023	2023	NUM
ejpam-6479	590	6	.	.	PUNCT
ejpam-6479	591	1	[	[	X
ejpam-6479	591	2	13	13	NUM
ejpam-6479	591	3	]	]	PUNCT
ejpam-6479	591	4	s.	s.	PROPN
ejpam-6479	591	5	ji	ji	PROPN
ejpam-6479	591	6	,	,	PUNCT
ejpam-6479	591	7	s.	s.	PROPN
ejpam-6479	591	8	pan	pan	PROPN
ejpam-6479	591	9	,	,	PUNCT
ejpam-6479	591	10	e.	e.	PROPN
ejpam-6479	591	11	cambria	cambria	PROPN
ejpam-6479	591	12	,	,	PUNCT
ejpam-6479	591	13	p.	p.	NOUN
ejpam-6479	591	14	marttinen	marttinen	NOUN
ejpam-6479	591	15	,	,	PUNCT
ejpam-6479	591	16	and	and	CCONJ
ejpam-6479	591	17	p.	p.	PROPN
ejpam-6479	591	18	s.	s.	PROPN
ejpam-6479	591	19	yu	yu	PROPN
ejpam-6479	591	20	.	.	PUNCT
ejpam-6479	592	1	a	a	DET
ejpam-6479	592	2	survey	survey	NOUN
ejpam-6479	592	3	on	on	ADP
ejpam-6479	592	4	knowledge	knowledge	NOUN
ejpam-6479	592	5	graphs	graph	NOUN
ejpam-6479	592	6	:	:	PUNCT
ejpam-6479	592	7	representation	representation	NOUN
ejpam-6479	592	8	,	,	PUNCT
ejpam-6479	592	9	acquisition	acquisition	NOUN
ejpam-6479	592	10	and	and	CCONJ
ejpam-6479	592	11	applications	application	NOUN
ejpam-6479	592	12	.	.	PUNCT
ejpam-6479	593	1	ieee	ieee	NOUN
ejpam-6479	593	2	transactions	transaction	NOUN
ejpam-6479	593	3	on	on	ADP
ejpam-6479	593	4	neural	neural	ADJ
ejpam-6479	593	5	networks	network	NOUN
ejpam-6479	593	6	and	and	CCONJ
ejpam-6479	593	7	learning	learning	NOUN
ejpam-6479	593	8	systems	system	NOUN
ejpam-6479	593	9	,	,	PUNCT
ejpam-6479	593	10	33(2):494–514	33(2):494–514	NOUN
ejpam-6479	593	11	,	,	PUNCT
ejpam-6479	593	12	2022	2022	NUM
ejpam-6479	593	13	.	.	PUNCT
ejpam-6479	594	1	[	[	X
ejpam-6479	594	2	14	14	NUM
ejpam-6479	594	3	]	]	X
ejpam-6479	594	4	n.	n.	PROPN
ejpam-6479	594	5	h.	h.	PROPN
ejpam-6479	594	6	tan	tan	PROPN
ejpam-6479	594	7	,	,	PUNCT
ejpam-6479	595	1	c.	c.	PROPN
ejpam-6479	595	2	k.	k.	PROPN
ejpam-6479	595	3	long	long	PROPN
ejpam-6479	595	4	,	,	PUNCT
ejpam-6479	595	5	t.	t.	PROPN
ejpam-6479	595	6	m.	m.	PROPN
ejpam-6479	595	7	tuan	tuan	PROPN
ejpam-6479	595	8	,	,	PUNCT
ejpam-6479	595	9	et	et	PROPN
ejpam-6479	595	10	al	al	PROPN
ejpam-6479	595	11	.	.	PUNCT
ejpam-6479	596	1	a	a	DET
ejpam-6479	596	2	novel	novel	ADJ
ejpam-6479	596	3	fuzzy	fuzzy	ADJ
ejpam-6479	596	4	knowledge	knowledge	NOUN
ejpam-6479	596	5	graph	graph	NOUN
ejpam-6479	596	6	structure	structure	NOUN
ejpam-6479	596	7	for	for	ADP
ejpam-6479	596	8	decision	decision	NOUN
ejpam-6479	596	9	making	making	NOUN
ejpam-6479	596	10	of	of	ADP
ejpam-6479	596	11	multimodal	multimodal	ADJ
ejpam-6479	596	12	big	big	ADJ
ejpam-6479	596	13	data	datum	NOUN
ejpam-6479	596	14	.	.	PUNCT
ejpam-6479	597	1	applied	apply	VERB
ejpam-6479	597	2	intelligence	intelligence	NOUN
ejpam-6479	597	3	,	,	PUNCT
ejpam-6479	597	4	55:490	55:490	NUM
ejpam-6479	597	5	,	,	PUNCT
ejpam-6479	597	6	2025	2025	NUM
ejpam-6479	597	7	.	.	PUNCT
ejpam-6479	598	1	[	[	X
ejpam-6479	598	2	15	15	NUM
ejpam-6479	598	3	]	]	X
ejpam-6479	598	4	d.	d.	PROPN
ejpam-6479	598	5	ramot	ramot	PROPN
ejpam-6479	598	6	,	,	PUNCT
ejpam-6479	598	7	r.	r.	PROPN
ejpam-6479	598	8	milo	milo	PROPN
ejpam-6479	598	9	,	,	PUNCT
ejpam-6479	598	10	m.	m.	NOUN
ejpam-6479	598	11	friedman	friedman	PROPN
ejpam-6479	598	12	,	,	PUNCT
ejpam-6479	598	13	and	and	CCONJ
ejpam-6479	598	14	a.	a.	NOUN
ejpam-6479	598	15	kandel	kandel	PROPN
ejpam-6479	598	16	.	.	PUNCT
ejpam-6479	599	1	complex	complex	ADJ
ejpam-6479	599	2	fuzzy	fuzzy	ADJ
ejpam-6479	599	3	sets	set	NOUN
ejpam-6479	599	4	.	.	PUNCT
ejpam-6479	600	1	ieee	ieee	NOUN
ejpam-6479	600	2	transactions	transaction	NOUN
ejpam-6479	600	3	on	on	ADP
ejpam-6479	600	4	fuzzy	fuzzy	ADJ
ejpam-6479	600	5	systems	system	NOUN
ejpam-6479	600	6	,	,	PUNCT
ejpam-6479	600	7	10(2):171–186	10(2):171–186	NUM
ejpam-6479	600	8	,	,	PUNCT
ejpam-6479	600	9	2002	2002	NUM
ejpam-6479	600	10	.	.	PUNCT
ejpam-6479	601	1	[	[	X
ejpam-6479	601	2	16	16	NUM
ejpam-6479	601	3	]	]	X
ejpam-6479	601	4	p.	p.	NOUN
ejpam-6479	601	5	thirunavukarasu	thirunavukarasu	PROPN
ejpam-6479	601	6	,	,	PUNCT
ejpam-6479	601	7	r.	r.	PROPN
ejpam-6479	601	8	suresh	suresh	PROPN
ejpam-6479	601	9	,	,	PUNCT
ejpam-6479	601	10	and	and	CCONJ
ejpam-6479	601	11	k.	k.	PROPN
ejpam-6479	601	12	k.	k.	PROPN
ejpam-6479	601	13	viswanathan	viswanathan	PROPN
ejpam-6479	601	14	.	.	PUNCT
ejpam-6479	602	1	energy	energy	NOUN
ejpam-6479	602	2	of	of	ADP
ejpam-6479	602	3	a	a	DET
ejpam-6479	602	4	complex	complex	ADJ
ejpam-6479	602	5	fuzzy	fuzzy	ADJ
ejpam-6479	602	6	graph	graph	NOUN
ejpam-6479	602	7	.	.	PUNCT
ejpam-6479	603	1	international	international	ADJ
ejpam-6479	603	2	journal	journal	PROPN
ejpam-6479	603	3	of	of	ADP
ejpam-6479	603	4	mathematical	mathematical	ADJ
ejpam-6479	603	5	sciences	sciences	PROPN
ejpam-6479	603	6	and	and	CCONJ
ejpam-6479	603	7	engineering	engineering	NOUN
ejpam-6479	603	8	applications	application	NOUN
ejpam-6479	603	9	,	,	PUNCT
ejpam-6479	603	10	10(i):243–248	10(i):243–248	NUM
ejpam-6479	603	11	,	,	PUNCT
ejpam-6479	603	12	2016	2016	NUM
ejpam-6479	603	13	.	.	PUNCT
ejpam-6479	604	1	w.	w.	PROPN
ejpam-6479	604	2	f.	f.	PROPN
ejpam-6479	604	3	al	al	PROPN
ejpam-6479	604	4	-	-	PUNCT
ejpam-6479	604	5	omeri	omeri	PROPN
ejpam-6479	604	6	et	et	PROPN
ejpam-6479	604	7	al	al	PROPN
ejpam-6479	604	8	.	.	PUNCT
ejpam-6479	604	9	/	/	SYM
ejpam-6479	604	10	eur	eur	PROPN
ejpam-6479	604	11	.	.	PUNCT
ejpam-6479	605	1	j.	j.	PROPN
ejpam-6479	605	2	pure	pure	PROPN
ejpam-6479	605	3	appl	appl	PROPN
ejpam-6479	605	4	.	.	PROPN
ejpam-6479	605	5	math	math	PROPN
ejpam-6479	605	6	,	,	PUNCT
ejpam-6479	605	7	18	18	NUM
ejpam-6479	605	8	(	(	PUNCT
ejpam-6479	605	9	3	3	NUM
ejpam-6479	605	10	)	)	PUNCT
ejpam-6479	605	11	(	(	PUNCT
ejpam-6479	605	12	2025	2025	NUM
ejpam-6479	605	13	)	)	PUNCT
ejpam-6479	605	14	,	,	PUNCT
ejpam-6479	605	15	6479	6479	NUM
ejpam-6479	605	16	28	28	NUM
ejpam-6479	605	17	of	of	ADP
ejpam-6479	605	18	28	28	NUM
ejpam-6479	606	1	[	[	X
ejpam-6479	606	2	17	17	NUM
ejpam-6479	606	3	]	]	PUNCT
ejpam-6479	606	4	m.	m.	NOUN
ejpam-6479	606	5	shoaib	shoaib	PROPN
ejpam-6479	606	6	,	,	PUNCT
ejpam-6479	606	7	w.	w.	PROPN
ejpam-6479	606	8	mahmood	mahmood	PROPN
ejpam-6479	606	9	,	,	PUNCT
ejpam-6479	606	10	q.	q.	PROPN
ejpam-6479	606	11	xin	xin	PROPN
ejpam-6479	606	12	,	,	PUNCT
ejpam-6479	606	13	and	and	CCONJ
ejpam-6479	606	14	f.	f.	PROPN
ejpam-6479	606	15	tchier	tchier	PROPN
ejpam-6479	606	16	.	.	PUNCT
ejpam-6479	607	1	maximal	maximal	ADJ
ejpam-6479	607	2	product	product	NOUN
ejpam-6479	607	3	and	and	CCONJ
ejpam-6479	607	4	symmetric	symmetric	ADJ
ejpam-6479	607	5	difference	difference	NOUN
ejpam-6479	607	6	of	of	ADP
ejpam-6479	607	7	complex	complex	ADJ
ejpam-6479	607	8	fuzzy	fuzzy	ADJ
ejpam-6479	607	9	graph	graph	NOUN
ejpam-6479	607	10	with	with	ADP
ejpam-6479	607	11	application	application	NOUN
ejpam-6479	607	12	.	.	PUNCT
ejpam-6479	608	1	symmetry	symmetry	NOUN
ejpam-6479	608	2	,	,	PUNCT
ejpam-6479	608	3	14(6):1126	14(6):1126	NUM
ejpam-6479	608	4	,	,	PUNCT
ejpam-6479	608	5	2022	2022	NUM
ejpam-6479	608	6	.	.	PUNCT
ejpam-6479	609	1	[	[	X
ejpam-6479	609	2	18	18	NUM
ejpam-6479	609	3	]	]	X
ejpam-6479	609	4	e.	e.	PROPN
ejpam-6479	609	5	a.	a.	PROPN
ejpam-6479	609	6	abuhijleh	abuhijleh	PROPN
ejpam-6479	609	7	.	.	PUNCT
ejpam-6479	610	1	complex	complex	ADJ
ejpam-6479	610	2	hesitant	hesitant	ADJ
ejpam-6479	610	3	fuzzy	fuzzy	ADJ
ejpam-6479	610	4	graph	graph	NOUN
ejpam-6479	610	5	.	.	PUNCT
ejpam-6479	611	1	fuzzy	fuzzy	ADJ
ejpam-6479	611	2	information	information	NOUN
ejpam-6479	611	3	and	and	CCONJ
ejpam-6479	611	4	engineering	engineering	NOUN
ejpam-6479	611	5	,	,	PUNCT
ejpam-6479	611	6	15(2):149–161	15(2):149–161	NUM
ejpam-6479	611	7	,	,	PUNCT
ejpam-6479	611	8	2023	2023	NUM
ejpam-6479	611	9	.	.	PUNCT
ejpam-6479	612	1	[	[	X
ejpam-6479	612	2	19	19	NUM
ejpam-6479	612	3	]	]	PUNCT
ejpam-6479	612	4	m.	m.	NOUN
ejpam-6479	612	5	kaviyarasu	kaviyarasu	PROPN
ejpam-6479	612	6	,	,	PUNCT
ejpam-6479	612	7	mohammed	mohammed	PROPN
ejpam-6479	612	8	alqahtani	alqahtani	PROPN
ejpam-6479	612	9	,	,	PUNCT
ejpam-6479	612	10	and	and	CCONJ
ejpam-6479	612	11	m.	m.	NOUN
ejpam-6479	612	12	rajeshwari	rajeshwari	PROPN
ejpam-6479	612	13	.	.	PUNCT
ejpam-6479	613	1	exponential	exponential	ADJ
ejpam-6479	613	2	fuzzy	fuzzy	ADJ
ejpam-6479	613	3	sets	set	NOUN
ejpam-6479	613	4	and	and	CCONJ
ejpam-6479	613	5	applications	application	NOUN
ejpam-6479	613	6	of	of	ADP
ejpam-6479	613	7	ai	ai	ADJ
ejpam-6479	613	8	-	-	PUNCT
ejpam-6479	613	9	powered	power	VERB
ejpam-6479	613	10	investment	investment	NOUN
ejpam-6479	613	11	decision	decision	NOUN
ejpam-6479	613	12	-	-	PUNCT
ejpam-6479	613	13	making	making	NOUN
ejpam-6479	613	14	using	use	VERB
ejpam-6479	613	15	the	the	DET
ejpam-6479	613	16	weighted	weight	VERB
ejpam-6479	613	17	mean	mean	ADJ
ejpam-6479	613	18	method	method	NOUN
ejpam-6479	613	19	.	.	PUNCT
ejpam-6479	614	1	european	european	PROPN
ejpam-6479	614	2	journal	journal	PROPN
ejpam-6479	614	3	of	of	ADP
ejpam-6479	614	4	pure	pure	ADJ
ejpam-6479	614	5	and	and	CCONJ
ejpam-6479	614	6	applied	applied	ADJ
ejpam-6479	614	7	mathematics	mathematic	NOUN
ejpam-6479	614	8	,	,	PUNCT
ejpam-6479	614	9	18(2):6050	18(2):6050	NUM
ejpam-6479	614	10	,	,	PUNCT
ejpam-6479	614	11	2025	2025	NUM
ejpam-6479	614	12	.	.	PUNCT
ejpam-6479	615	1	[	[	X
ejpam-6479	615	2	20	20	NUM
ejpam-6479	615	3	]	]	PUNCT
ejpam-6479	615	4	w.	w.	PROPN
ejpam-6479	615	5	al	al	PROPN
ejpam-6479	615	6	-	-	PUNCT
ejpam-6479	615	7	omeri	omeri	PROPN
ejpam-6479	615	8	,	,	PUNCT
ejpam-6479	615	9	md	md	PROPN
ejpam-6479	615	10	.	.	PUNCT
ejpam-6479	615	11	s.	s.	PROPN
ejpam-6479	615	12	noorani	noorani	PROPN
ejpam-6479	615	13	,	,	PUNCT
ejpam-6479	615	14	and	and	CCONJ
ejpam-6479	615	15	a.	a.	PROPN
ejpam-6479	615	16	al	al	PROPN
ejpam-6479	615	17	-	-	PUNCT
ejpam-6479	615	18	omari	omari	PROPN
ejpam-6479	615	19	.	.	PUNCT
ejpam-6479	616	1	new	new	ADJ
ejpam-6479	616	2	forms	form	NOUN
ejpam-6479	616	3	of	of	ADP
ejpam-6479	616	4	contra	contra	NOUN
ejpam-6479	616	5	-	-	NOUN
ejpam-6479	616	6	continuity	continuity	NOUN
ejpam-6479	616	7	in	in	ADP
ejpam-6479	616	8	ideal	ideal	ADJ
ejpam-6479	616	9	topology	topology	NOUN
ejpam-6479	616	10	spaces	space	NOUN
ejpam-6479	616	11	.	.	PUNCT
ejpam-6479	617	1	missouri	missouri	PROPN
ejpam-6479	617	2	journal	journal	PROPN
ejpam-6479	617	3	of	of	ADP
ejpam-6479	617	4	mathematical	mathematical	ADJ
ejpam-6479	617	5	sciences	science	NOUN
ejpam-6479	617	6	,	,	PUNCT
ejpam-6479	617	7	26(1):33–47	26(1):33–47	NUM
ejpam-6479	617	8	,	,	PUNCT
ejpam-6479	617	9	2014	2014	NUM
ejpam-6479	617	10	.	.	PUNCT
ejpam-6479	618	1	[	[	X
ejpam-6479	618	2	21	21	NUM
ejpam-6479	618	3	]	]	X
ejpam-6479	618	4	w.	w.	PROPN
ejpam-6479	618	5	al	al	PROPN
ejpam-6479	618	6	-	-	PUNCT
ejpam-6479	618	7	omeri	omeri	PROPN
ejpam-6479	618	8	,	,	PUNCT
ejpam-6479	618	9	md	md	PROPN
ejpam-6479	618	10	.	.	PUNCT
ejpam-6479	618	11	s.	s.	PROPN
ejpam-6479	618	12	m.	m.	PROPN
ejpam-6479	618	13	noorani	noorani	PROPN
ejpam-6479	618	14	,	,	PUNCT
ejpam-6479	618	15	and	and	CCONJ
ejpam-6479	618	16	a.	a.	PROPN
ejpam-6479	618	17	al	al	PROPN
ejpam-6479	618	18	-	-	PUNCT
ejpam-6479	618	19	omari	omari	PROPN
ejpam-6479	618	20	.	.	PUNCT
ejpam-6479	619	1	weak	weak	ADJ
ejpam-6479	619	2	open	open	ADJ
ejpam-6479	619	3	sets	set	NOUN
ejpam-6479	619	4	on	on	ADP
ejpam-6479	619	5	simple	simple	ADJ
ejpam-6479	619	6	extension	extension	NOUN
ejpam-6479	619	7	ideal	ideal	ADJ
ejpam-6479	619	8	topological	topological	ADJ
ejpam-6479	619	9	space	space	NOUN
ejpam-6479	619	10	.	.	PUNCT
ejpam-6479	620	1	italian	italian	ADJ
ejpam-6479	620	2	journal	journal	NOUN
ejpam-6479	620	3	of	of	ADP
ejpam-6479	620	4	pure	pure	ADJ
ejpam-6479	620	5	and	and	CCONJ
ejpam-6479	620	6	applied	applied	ADJ
ejpam-6479	620	7	mathematics	mathematic	NOUN
ejpam-6479	620	8	,	,	PUNCT
ejpam-6479	620	9	(	(	PUNCT
ejpam-6479	620	10	33):333–344	33):333–344	NOUN
ejpam-6479	620	11	,	,	PUNCT
ejpam-6479	620	12	2014	2014	NUM
ejpam-6479	620	13	.	.	PUNCT
ejpam-6479	621	1	[	[	X
ejpam-6479	621	2	22	22	NUM
ejpam-6479	621	3	]	]	X
ejpam-6479	621	4	tareq	tareq	PROPN
ejpam-6479	621	5	m.	m.	PROPN
ejpam-6479	621	6	al	al	PROPN
ejpam-6479	621	7	-	-	PUNCT
ejpam-6479	621	8	shami	shami	PROPN
ejpam-6479	621	9	,	,	PUNCT
ejpam-6479	621	10	sandeep	sandeep	PROPN
ejpam-6479	621	11	kaur	kaur	PROPN
ejpam-6479	621	12	,	,	PUNCT
ejpam-6479	621	13	alkan	alkan	PROPN
ejpam-6479	621	14	özkan	özkan	PROPN
ejpam-6479	621	15	,	,	PUNCT
ejpam-6479	621	16	m.	m.	PROPN
ejpam-6479	621	17	hosny	hosny	PROPN
ejpam-6479	621	18	,	,	PUNCT
ejpam-6479	621	19	and	and	CCONJ
ejpam-6479	621	20	abdelwaheb	abdelwaheb	PROPN
ejpam-6479	621	21	mhemdi	mhemdi	PROPN
ejpam-6479	621	22	.	.	PUNCT
ejpam-6479	622	1	some	some	DET
ejpam-6479	622	2	characterizations	characterization	NOUN
ejpam-6479	622	3	of	of	ADP
ejpam-6479	622	4	soft	soft	ADJ
ejpam-6479	622	5	continuous	continuous	ADJ
ejpam-6479	622	6	mappings	mapping	NOUN
ejpam-6479	622	7	using	use	VERB
ejpam-6479	622	8	soft	soft	ADJ
ejpam-6479	622	9	graphs	graph	NOUN
ejpam-6479	622	10	.	.	PUNCT
ejpam-6479	623	1	journal	journal	NOUN
ejpam-6479	623	2	of	of	ADP
ejpam-6479	623	3	intelligent	intelligent	ADJ
ejpam-6479	623	4	&	&	CCONJ
ejpam-6479	623	5	fuzzy	fuzzy	ADJ
ejpam-6479	623	6	systems	system	NOUN
ejpam-6479	623	7	,	,	PUNCT
ejpam-6479	623	8	38(22):7823–7830	38(22):7823–7830	NUM
ejpam-6479	623	9	,	,	PUNCT
ejpam-6479	623	10	2024	2024	NUM
ejpam-6479	623	11	.	.	PUNCT
ejpam-6479	624	1	[	[	X
ejpam-6479	624	2	23	23	NUM
ejpam-6479	624	3	]	]	PUNCT
ejpam-6479	624	4	h.	h.	PROPN
ejpam-6479	624	5	z.	z.	PROPN
ejpam-6479	624	6	ibrahim	ibrahim	PROPN
ejpam-6479	624	7	,	,	PUNCT
ejpam-6479	624	8	t.	t.	PROPN
ejpam-6479	624	9	m.	m.	PROPN
ejpam-6479	624	10	al	al	PROPN
ejpam-6479	624	11	-	-	PUNCT
ejpam-6479	624	12	shami	shami	PROPN
ejpam-6479	624	13	,	,	PUNCT
ejpam-6479	624	14	m.	m.	NOUN
ejpam-6479	624	15	arar	arar	PROPN
ejpam-6479	624	16	,	,	PUNCT
ejpam-6479	624	17	and	and	CCONJ
ejpam-6479	624	18	m.	m.	PROPN
ejpam-6479	624	19	hosny	hosny	PROPN
ejpam-6479	624	20	.	.	PUNCT
ejpam-6479	625	1	complex	complex	PROPN
ejpam-6479	625	2	nth	nth	PROPN
ejpam-6479	625	3	power	power	NOUN
ejpam-6479	625	4	root	root	NOUN
ejpam-6479	625	5	fuzzy	fuzzy	ADJ
ejpam-6479	625	6	sets	set	NOUN
ejpam-6479	625	7	:	:	PUNCT
ejpam-6479	625	8	theory	theory	NOUN
ejpam-6479	625	9	and	and	CCONJ
ejpam-6479	625	10	applications	application	NOUN
ejpam-6479	625	11	for	for	ADP
ejpam-6479	625	12	multi	multi	ADJ
ejpam-6479	625	13	-	-	ADJ
ejpam-6479	625	14	attribute	attribute	NOUN
ejpam-6479	625	15	decision	decision	NOUN
ejpam-6479	625	16	making	make	VERB
ejpam-6479	625	17	in	in	ADP
ejpam-6479	625	18	uncertain	uncertain	ADJ
ejpam-6479	625	19	environments	environment	NOUN
ejpam-6479	625	20	.	.	PUNCT
ejpam-6479	626	1	plos	plos	PROPN
ejpam-6479	626	2	one	one	NUM
ejpam-6479	626	3	,	,	PUNCT
ejpam-6479	626	4	20(5):e0319757	20(5):e0319757	NOUN
ejpam-6479	626	5	,	,	PUNCT
ejpam-6479	626	6	2025	2025	NUM
ejpam-6479	626	7	.	.	PUNCT
ejpam-6479	627	1	[	[	X
ejpam-6479	627	2	24	24	NUM
ejpam-6479	627	3	]	]	PUNCT
ejpam-6479	627	4	h.	h.	PROPN
ejpam-6479	627	5	z.	z.	PROPN
ejpam-6479	627	6	ibrahim	ibrahim	PROPN
ejpam-6479	627	7	,	,	PUNCT
ejpam-6479	627	8	t.	t.	PROPN
ejpam-6479	627	9	m.	m.	PROPN
ejpam-6479	627	10	al	al	PROPN
ejpam-6479	627	11	-	-	PUNCT
ejpam-6479	627	12	shami	shami	PROPN
ejpam-6479	627	13	,	,	PUNCT
ejpam-6479	627	14	m.	m.	NOUN
ejpam-6479	627	15	arar	arar	PROPN
ejpam-6479	627	16	,	,	PUNCT
ejpam-6479	627	17	et	et	PROPN
ejpam-6479	627	18	al	al	PROPN
ejpam-6479	627	19	.	.	PROPN
ejpam-6479	627	20	km	km	PROPN
ejpam-6479	627	21	n	n	CCONJ
ejpam-6479	627	22	-	-	PUNCT
ejpam-6479	627	23	rung	rung	ADJ
ejpam-6479	627	24	picture	picture	NOUN
ejpam-6479	627	25	fuzzy	fuzzy	ADJ
ejpam-6479	627	26	information	information	NOUN
ejpam-6479	627	27	in	in	ADP
ejpam-6479	627	28	a	a	DET
ejpam-6479	627	29	modern	modern	ADJ
ejpam-6479	627	30	approach	approach	NOUN
ejpam-6479	627	31	to	to	ADP
ejpam-6479	627	32	multi	multi	ADJ
ejpam-6479	627	33	-	-	ADJ
ejpam-6479	627	34	attribute	attribute	NOUN
ejpam-6479	627	35	group	group	NOUN
ejpam-6479	627	36	decision	decision	NOUN
ejpam-6479	627	37	-	-	PUNCT
ejpam-6479	627	38	making	making	NOUN
ejpam-6479	627	39	.	.	PUNCT
ejpam-6479	628	1	complex	complex	ADJ
ejpam-6479	628	2	&	&	CCONJ
ejpam-6479	628	3	intelligent	intelligent	ADJ
ejpam-6479	628	4	systems	system	NOUN
ejpam-6479	628	5	,	,	PUNCT
ejpam-6479	628	6	10:2605–2625	10:2605–2625	PROPN
ejpam-6479	628	7	,	,	PUNCT
ejpam-6479	628	8	2024	2024	NUM
ejpam-6479	628	9	.	.	PUNCT