id	sid	tid	token	lemma	pos
ejpam-6372	1	1	european	european	PROPN
ejpam-6372	1	2	journal	journal	PROPN
ejpam-6372	1	3	of	of	ADP
ejpam-6372	1	4	pure	pure	ADJ
ejpam-6372	1	5	and	and	CCONJ
ejpam-6372	1	6	applied	applied	ADJ
ejpam-6372	1	7	mathematics	mathematic	NOUN
ejpam-6372	1	8	2025	2025	NUM
ejpam-6372	1	9	,	,	PUNCT
ejpam-6372	1	10	vol	vol	NOUN
ejpam-6372	1	11	.	.	PROPN
ejpam-6372	1	12	18	18	NUM
ejpam-6372	1	13	,	,	PUNCT
ejpam-6372	1	14	issue	issue	NOUN
ejpam-6372	1	15	3	3	NUM
ejpam-6372	1	16	,	,	PUNCT
ejpam-6372	1	17	article	article	NOUN
ejpam-6372	1	18	number	number	NOUN
ejpam-6372	1	19	6372	6372	NUM
ejpam-6372	1	20	issn	issn	PROPN
ejpam-6372	1	21	1307	1307	NUM
ejpam-6372	1	22	-	-	SYM
ejpam-6372	1	23	5543	5543	NUM
ejpam-6372	1	24	–	–	PUNCT
ejpam-6372	1	25	ejpam.com	ejpam.com	X
ejpam-6372	1	26	published	publish	VERB
ejpam-6372	1	27	by	by	ADP
ejpam-6372	1	28	new	new	PROPN
ejpam-6372	1	29	york	york	PROPN
ejpam-6372	1	30	business	business	PROPN
ejpam-6372	1	31	global	global	ADJ
ejpam-6372	1	32	planarity	planarity	NOUN
ejpam-6372	1	33	of	of	ADP
ejpam-6372	1	34	intuitionistic	intuitionistic	ADJ
ejpam-6372	1	35	pythagorean	pythagorean	ADJ
ejpam-6372	1	36	fuzzy	fuzzy	ADJ
ejpam-6372	1	37	graphs	graph	NOUN
ejpam-6372	1	38	and	and	CCONJ
ejpam-6372	1	39	its	its	PRON
ejpam-6372	1	40	application	application	NOUN
ejpam-6372	1	41	in	in	ADP
ejpam-6372	1	42	decision	decision	NOUN
ejpam-6372	1	43	making	make	VERB
ejpam-6372	1	44	obbu	obbu	NOUN
ejpam-6372	1	45	ramesh1	ramesh1	NOUN
ejpam-6372	1	46	,	,	PUNCT
ejpam-6372	1	47	nainaru	nainaru	PROPN
ejpam-6372	1	48	tarakaramu2,∗	tarakaramu2,∗	PROPN
ejpam-6372	1	49	,	,	PUNCT
ejpam-6372	1	50	g.	g.	PROPN
ejpam-6372	1	51	yuvaroopa	yuvaroopa	PROPN
ejpam-6372	1	52	lakshmi3	lakshmi3	PROPN
ejpam-6372	1	53	,	,	PUNCT
ejpam-6372	1	54	sharief	sharief	PROPN
ejpam-6372	1	55	basha	basha	PROPN
ejpam-6372	1	56	s4	s4	PROPN
ejpam-6372	1	57	,	,	PUNCT
ejpam-6372	1	58	sarvar	sarvar	NOUN
ejpam-6372	1	59	iskandarov5	iskandarov5	PROPN
ejpam-6372	1	60	,	,	PUNCT
ejpam-6372	1	61	akbar	akbar	PROPN
ejpam-6372	1	62	toyirov6	toyirov6	PROPN
ejpam-6372	1	63	,	,	PUNCT
ejpam-6372	1	64	jushkinbek	jushkinbek	ADJ
ejpam-6372	1	65	yuldoshev7	yuldoshev7	NOUN
ejpam-6372	1	66	,	,	PUNCT
ejpam-6372	1	67	sardor	sardor	NOUN
ejpam-6372	1	68	sabirov8	sabirov8	PROPN
ejpam-6372	1	69	,	,	PUNCT
ejpam-6372	1	70	k.	k.	PROPN
ejpam-6372	1	71	k.	k.	PROPN
ejpam-6372	2	1	prashanth9	prashanth9	PROPN
ejpam-6372	2	2	1	1	NUM
ejpam-6372	2	3	department	department	NOUN
ejpam-6372	2	4	of	of	ADP
ejpam-6372	2	5	mathematics	mathematics	PROPN
ejpam-6372	2	6	,	,	PUNCT
ejpam-6372	2	7	presidency	presidency	NOUN
ejpam-6372	2	8	university	university	NOUN
ejpam-6372	2	9	,	,	PUNCT
ejpam-6372	2	10	bengaluru-560064	bengaluru-560064	ADJ
ejpam-6372	2	11	,	,	PUNCT
ejpam-6372	2	12	karnataka	karnataka	PROPN
ejpam-6372	2	13	,	,	PUNCT
ejpam-6372	2	14	india	india	PROPN
ejpam-6372	2	15	2	2	NUM
ejpam-6372	2	16	department	department	NOUN
ejpam-6372	2	17	of	of	ADP
ejpam-6372	2	18	mathematics	mathematic	NOUN
ejpam-6372	2	19	,	,	PUNCT
ejpam-6372	2	20	school	school	NOUN
ejpam-6372	2	21	of	of	ADP
ejpam-6372	2	22	liberal	liberal	ADJ
ejpam-6372	2	23	arts	art	NOUN
ejpam-6372	2	24	and	and	CCONJ
ejpam-6372	2	25	sciences	science	NOUN
ejpam-6372	2	26	,	,	PUNCT
ejpam-6372	2	27	mohan	mohan	PROPN
ejpam-6372	2	28	babu	babu	PROPN
ejpam-6372	2	29	university	university	PROPN
ejpam-6372	2	30	,	,	PUNCT
ejpam-6372	2	31	sree	sree	PROPN
ejpam-6372	2	32	sainath	sainath	PROPN
ejpam-6372	2	33	nagar	nagar	PROPN
ejpam-6372	2	34	,	,	PUNCT
ejpam-6372	2	35	tirupati-517102	tirupati-517102	ADP
ejpam-6372	2	36	,	,	PUNCT
ejpam-6372	2	37	andhra	andhra	PROPN
ejpam-6372	2	38	pradesh	pradesh	PROPN
ejpam-6372	2	39	,	,	PUNCT
ejpam-6372	2	40	india	india	PROPN
ejpam-6372	2	41	3	3	PROPN
ejpam-6372	2	42	department	department	PROPN
ejpam-6372	2	43	of	of	ADP
ejpam-6372	2	44	mathematics	mathematic	NOUN
ejpam-6372	2	45	,	,	PUNCT
ejpam-6372	2	46	govt	govt	NOUN
ejpam-6372	2	47	.	.	PUNCT
ejpam-6372	2	48	degree	degree	NOUN
ejpam-6372	2	49	college	college	NOUN
ejpam-6372	2	50	for	for	ADP
ejpam-6372	2	51	women	woman	NOUN
ejpam-6372	2	52	,	,	PUNCT
ejpam-6372	2	53	wanaparthy	wanaparthy	ADJ
ejpam-6372	2	54	(	(	PUNCT
ejpam-6372	2	55	nandi	nandi	PROPN
ejpam-6372	2	56	hills	hills	PROPN
ejpam-6372	2	57	)	)	PUNCT
ejpam-6372	2	58	,	,	PUNCT
ejpam-6372	2	59	509103	509103	NUM
ejpam-6372	2	60	,	,	PUNCT
ejpam-6372	2	61	telangana	telangana	PROPN
ejpam-6372	2	62	,	,	PUNCT
ejpam-6372	2	63	india	india	PROPN
ejpam-6372	2	64	4	4	NUM
ejpam-6372	2	65	department	department	PROPN
ejpam-6372	2	66	of	of	ADP
ejpam-6372	2	67	analytics	analytic	NOUN
ejpam-6372	2	68	,	,	PUNCT
ejpam-6372	2	69	school	school	NOUN
ejpam-6372	2	70	of	of	ADP
ejpam-6372	2	71	computer	computer	NOUN
ejpam-6372	2	72	science	science	NOUN
ejpam-6372	2	73	and	and	CCONJ
ejpam-6372	2	74	engineering	engineering	NOUN
ejpam-6372	2	75	,	,	PUNCT
ejpam-6372	2	76	vellore	vellore	PROPN
ejpam-6372	2	77	institute	institute	PROPN
ejpam-6372	2	78	of	of	ADP
ejpam-6372	2	79	technology	technology	PROPN
ejpam-6372	2	80	,	,	PUNCT
ejpam-6372	2	81	vellore	vellore	NOUN
ejpam-6372	2	82	632014	632014	NUM
ejpam-6372	2	83	,	,	PUNCT
ejpam-6372	2	84	tamil	tamil	PROPN
ejpam-6372	2	85	nadu	nadu	PROPN
ejpam-6372	2	86	,	,	PUNCT
ejpam-6372	2	87	india	india	PROPN
ejpam-6372	2	88	5	5	NUM
ejpam-6372	2	89	department	department	PROPN
ejpam-6372	2	90	of	of	ADP
ejpam-6372	2	91	mathematical	mathematical	ADJ
ejpam-6372	2	92	analyze	analyze	NOUN
ejpam-6372	2	93	,	,	PUNCT
ejpam-6372	2	94	urgench	urgench	PROPN
ejpam-6372	2	95	state	state	PROPN
ejpam-6372	2	96	university	university	PROPN
ejpam-6372	2	97	,	,	PUNCT
ejpam-6372	2	98	urgench	urgench	PROPN
ejpam-6372	2	99	city	city	NOUN
ejpam-6372	2	100	,	,	PUNCT
ejpam-6372	2	101	uzbekistan	uzbekistan	PROPN
ejpam-6372	2	102	6	6	NUM
ejpam-6372	2	103	department	department	NOUN
ejpam-6372	2	104	of	of	ADP
ejpam-6372	2	105	information	information	NOUN
ejpam-6372	2	106	technology	technology	NOUN
ejpam-6372	2	107	and	and	CCONJ
ejpam-6372	2	108	exact	exact	ADJ
ejpam-6372	2	109	sciences	science	NOUN
ejpam-6372	2	110	,	,	PUNCT
ejpam-6372	2	111	termez	termez	NOUN
ejpam-6372	2	112	university	university	PROPN
ejpam-6372	2	113	of	of	ADP
ejpam-6372	2	114	economics	economic	NOUN
ejpam-6372	2	115	and	and	CCONJ
ejpam-6372	2	116	service	service	NOUN
ejpam-6372	2	117	,	,	PUNCT
ejpam-6372	2	118	termez	termez	NOUN
ejpam-6372	2	119	,	,	PUNCT
ejpam-6372	2	120	uzbekistan	uzbekistan	PROPN
ejpam-6372	2	121	7	7	NUM
ejpam-6372	2	122	department	department	NOUN
ejpam-6372	2	123	of	of	ADP
ejpam-6372	2	124	pedagogy	pedagogy	NOUN
ejpam-6372	2	125	and	and	CCONJ
ejpam-6372	2	126	primary	primary	ADJ
ejpam-6372	2	127	education	education	NOUN
ejpam-6372	2	128	methodology	methodology	NOUN
ejpam-6372	2	129	,	,	PUNCT
ejpam-6372	2	130	urgench	urgench	NOUN
ejpam-6372	2	131	innovation	innovation	PROPN
ejpam-6372	2	132	university	university	PROPN
ejpam-6372	2	133	,	,	PUNCT
ejpam-6372	2	134	urgench	urgench	NOUN
ejpam-6372	2	135	,	,	PUNCT
ejpam-6372	2	136	uzbekistan	uzbekistan	PROPN
ejpam-6372	2	137	8	8	NUM
ejpam-6372	2	138	department	department	PROPN
ejpam-6372	2	139	of	of	ADP
ejpam-6372	2	140	general	general	ADJ
ejpam-6372	2	141	professional	professional	ADJ
ejpam-6372	2	142	sciences	sciences	PROPN
ejpam-6372	2	143	,	,	PUNCT
ejpam-6372	2	144	mamun	mamun	PROPN
ejpam-6372	2	145	university	university	PROPN
ejpam-6372	2	146	,	,	PUNCT
ejpam-6372	2	147	khiva	khiva	PROPN
ejpam-6372	2	148	,	,	PUNCT
ejpam-6372	2	149	uzbekistan	uzbekistan	PROPN
ejpam-6372	2	150	9	9	NUM
ejpam-6372	2	151	department	department	NOUN
ejpam-6372	2	152	of	of	ADP
ejpam-6372	2	153	mathematics	mathematic	NOUN
ejpam-6372	2	154	,	,	PUNCT
ejpam-6372	2	155	new	new	ADJ
ejpam-6372	2	156	horizon	horizon	PROPN
ejpam-6372	2	157	college	college	PROPN
ejpam-6372	2	158	of	of	ADP
ejpam-6372	2	159	engineering	engineering	NOUN
ejpam-6372	2	160	,	,	PUNCT
ejpam-6372	2	161	bangalore-560103	bangalore-560103	NOUN
ejpam-6372	2	162	,	,	PUNCT
ejpam-6372	2	163	karnataka	karnataka	PROPN
ejpam-6372	2	164	,	,	PUNCT
ejpam-6372	2	165	india	india	PROPN
ejpam-6372	2	166	abstract	abstract	NOUN
ejpam-6372	2	167	.	.	PUNCT
ejpam-6372	3	1	this	this	DET
ejpam-6372	3	2	paper	paper	NOUN
ejpam-6372	3	3	introduces	introduce	VERB
ejpam-6372	3	4	the	the	DET
ejpam-6372	3	5	concept	concept	NOUN
ejpam-6372	3	6	of	of	ADP
ejpam-6372	3	7	intuitionistic	intuitionistic	ADJ
ejpam-6372	3	8	pythagorean	pythagorean	ADJ
ejpam-6372	3	9	fuzzy	fuzzy	ADJ
ejpam-6372	3	10	graphs	graph	NOUN
ejpam-6372	3	11	(	(	PUNCT
ejpam-6372	3	12	ipfgs	ipfgs	NOUN
ejpam-6372	3	13	)	)	PUNCT
ejpam-6372	3	14	and	and	CCONJ
ejpam-6372	3	15	outlines	outline	VERB
ejpam-6372	3	16	their	their	PRON
ejpam-6372	3	17	key	key	ADJ
ejpam-6372	3	18	characteristics	characteristic	NOUN
ejpam-6372	3	19	as	as	ADP
ejpam-6372	3	20	a	a	DET
ejpam-6372	3	21	means	means	NOUN
ejpam-6372	3	22	of	of	ADP
ejpam-6372	3	23	addressing	address	VERB
ejpam-6372	3	24	such	such	ADJ
ejpam-6372	3	25	uncertain	uncertain	ADJ
ejpam-6372	3	26	scenarios	scenario	NOUN
ejpam-6372	3	27	by	by	ADP
ejpam-6372	3	28	examining	examine	VERB
ejpam-6372	3	29	pythagorean	pythagorean	PROPN
ejpam-6372	3	30	uncertain	uncertain	ADJ
ejpam-6372	3	31	planarity	planarity	NOUN
ejpam-6372	3	32	values	value	NOUN
ejpam-6372	3	33	using	use	VERB
ejpam-6372	3	34	weak	weak	ADJ
ejpam-6372	3	35	,	,	PUNCT
ejpam-6372	3	36	strong	strong	ADJ
ejpam-6372	3	37	,	,	PUNCT
ejpam-6372	3	38	and	and	CCONJ
ejpam-6372	3	39	significant	significant	ADJ
ejpam-6372	3	40	edges	edge	NOUN
ejpam-6372	3	41	.	.	PUNCT
ejpam-6372	4	1	an	an	DET
ejpam-6372	4	2	intuitionistic	intuitionistic	ADJ
ejpam-6372	4	3	pythagorean	pythagorean	ADJ
ejpam-6372	4	4	fuzzy	fuzzy	ADJ
ejpam-6372	4	5	graph	graph	NOUN
ejpam-6372	4	6	is	be	AUX
ejpam-6372	4	7	a	a	DET
ejpam-6372	4	8	generalization	generalization	NOUN
ejpam-6372	4	9	of	of	ADP
ejpam-6372	4	10	a	a	DET
ejpam-6372	4	11	traditional	traditional	ADJ
ejpam-6372	4	12	graph	graph	NOUN
ejpam-6372	4	13	that	that	PRON
ejpam-6372	4	14	can	can	AUX
ejpam-6372	4	15	solve	solve	VERB
ejpam-6372	4	16	certain	certain	ADJ
ejpam-6372	4	17	problems	problem	NOUN
ejpam-6372	4	18	beyond	beyond	ADP
ejpam-6372	4	19	the	the	DET
ejpam-6372	4	20	capabilities	capability	NOUN
ejpam-6372	4	21	of	of	ADP
ejpam-6372	4	22	both	both	CCONJ
ejpam-6372	4	23	classical	classical	ADJ
ejpam-6372	4	24	graph	graph	NOUN
ejpam-6372	4	25	theory	theory	NOUN
ejpam-6372	4	26	and	and	CCONJ
ejpam-6372	4	27	fuzzy	fuzzy	ADJ
ejpam-6372	4	28	graph	graph	NOUN
ejpam-6372	4	29	theory	theory	NOUN
ejpam-6372	4	30	.	.	PUNCT
ejpam-6372	5	1	the	the	DET
ejpam-6372	5	2	approach	approach	NOUN
ejpam-6372	5	3	based	base	VERB
ejpam-6372	5	4	on	on	ADP
ejpam-6372	5	5	pythagorean	pythagorean	PROPN
ejpam-6372	5	6	fuzzy	fuzzy	ADJ
ejpam-6372	5	7	graphs	graph	NOUN
ejpam-6372	5	8	offers	offer	VERB
ejpam-6372	5	9	greater	great	ADJ
ejpam-6372	5	10	flexibility	flexibility	NOUN
ejpam-6372	5	11	in	in	ADP
ejpam-6372	5	12	handling	handle	VERB
ejpam-6372	5	13	human	human	ADJ
ejpam-6372	5	14	judgment	judgment	NOUN
ejpam-6372	5	15	data	datum	NOUN
ejpam-6372	5	16	compared	compare	VERB
ejpam-6372	5	17	to	to	ADP
ejpam-6372	5	18	other	other	ADJ
ejpam-6372	5	19	fuzzy	fuzzy	ADJ
ejpam-6372	5	20	models	model	NOUN
ejpam-6372	5	21	.	.	PUNCT
ejpam-6372	6	1	this	this	DET
ejpam-6372	6	2	paper	paper	NOUN
ejpam-6372	6	3	defines	define	VERB
ejpam-6372	6	4	the	the	DET
ejpam-6372	6	5	concept	concept	NOUN
ejpam-6372	6	6	of	of	ADP
ejpam-6372	6	7	planarity	planarity	NOUN
ejpam-6372	6	8	in	in	ADP
ejpam-6372	6	9	an	an	DET
ejpam-6372	6	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	6	11	pythagorean	pythagorean	ADJ
ejpam-6372	6	12	fuzzy	fuzzy	ADJ
ejpam-6372	6	13	graph	graph	NOUN
ejpam-6372	6	14	using	use	VERB
ejpam-6372	6	15	the	the	DET
ejpam-6372	6	16	notions	notion	NOUN
ejpam-6372	6	17	of	of	ADP
ejpam-6372	6	18	intersecting	intersecting	ADJ
ejpam-6372	6	19	value	value	NOUN
ejpam-6372	6	20	and	and	CCONJ
ejpam-6372	6	21	intuitionistic	intuitionistic	ADJ
ejpam-6372	6	22	pythagorean	pythagorean	ADJ
ejpam-6372	6	23	fuzzy	fuzzy	ADJ
ejpam-6372	6	24	planarity	planarity	NOUN
ejpam-6372	6	25	value	value	NOUN
ejpam-6372	6	26	.	.	PUNCT
ejpam-6372	7	1	the	the	DET
ejpam-6372	7	2	upper	upper	ADJ
ejpam-6372	7	3	and	and	CCONJ
ejpam-6372	7	4	lower	low	ADJ
ejpam-6372	7	5	bounds	bound	NOUN
ejpam-6372	7	6	of	of	ADP
ejpam-6372	7	7	this	this	DET
ejpam-6372	7	8	planarity	planarity	NOUN
ejpam-6372	7	9	value	value	NOUN
ejpam-6372	7	10	are	be	AUX
ejpam-6372	7	11	then	then	ADV
ejpam-6372	7	12	established	establish	VERB
ejpam-6372	7	13	through	through	ADP
ejpam-6372	7	14	a	a	DET
ejpam-6372	7	15	series	series	NOUN
ejpam-6372	7	16	of	of	ADP
ejpam-6372	7	17	interrelated	interrelated	ADJ
ejpam-6372	7	18	theorems	theorem	NOUN
ejpam-6372	7	19	.	.	PUNCT
ejpam-6372	8	1	finally	finally	ADV
ejpam-6372	8	2	,	,	PUNCT
ejpam-6372	8	3	the	the	DET
ejpam-6372	8	4	weak	weak	ADJ
ejpam-6372	8	5	and	and	CCONJ
ejpam-6372	8	6	strong	strong	ADJ
ejpam-6372	8	7	planarity	planarity	NOUN
ejpam-6372	8	8	of	of	ADP
ejpam-6372	8	9	an	an	DET
ejpam-6372	8	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	8	11	pythagorean	pythagorean	ADJ
ejpam-6372	8	12	fuzzy	fuzzy	ADJ
ejpam-6372	8	13	graph	graph	NOUN
ejpam-6372	8	14	is	be	AUX
ejpam-6372	8	15	delineated	delineate	VERB
ejpam-6372	8	16	,	,	PUNCT
ejpam-6372	8	17	and	and	CCONJ
ejpam-6372	8	18	the	the	DET
ejpam-6372	8	19	results	result	NOUN
ejpam-6372	8	20	of	of	ADP
ejpam-6372	8	21	the	the	DET
ejpam-6372	8	22	analysis	analysis	NOUN
ejpam-6372	8	23	are	be	AUX
ejpam-6372	8	24	discussed	discuss	VERB
ejpam-6372	8	25	.	.	PUNCT
ejpam-6372	9	1	the	the	DET
ejpam-6372	9	2	paper	paper	NOUN
ejpam-6372	9	3	poses	pose	VERB
ejpam-6372	9	4	a	a	DET
ejpam-6372	9	5	challenge	challenge	NOUN
ejpam-6372	9	6	that	that	PRON
ejpam-6372	9	7	demonstrates	demonstrate	VERB
ejpam-6372	9	8	the	the	DET
ejpam-6372	9	9	application	application	NOUN
ejpam-6372	9	10	of	of	ADP
ejpam-6372	9	11	the	the	DET
ejpam-6372	9	12	proposed	propose	VERB
ejpam-6372	9	13	concept	concept	NOUN
ejpam-6372	9	14	.	.	PUNCT
ejpam-6372	10	1	2020	2020	NUM
ejpam-6372	10	2	mathematics	mathematic	NOUN
ejpam-6372	10	3	subject	subject	NOUN
ejpam-6372	10	4	classifications	classification	NOUN
ejpam-6372	10	5	:	:	PUNCT
ejpam-6372	10	6	05c10	05c10	ADJ
ejpam-6372	10	7	,	,	PUNCT
ejpam-6372	10	8	03e72	03e72	NUM
ejpam-6372	10	9	,	,	PUNCT
ejpam-6372	10	10	68t37	68t37	ADV
ejpam-6372	10	11	key	key	ADJ
ejpam-6372	10	12	words	word	NOUN
ejpam-6372	10	13	and	and	CCONJ
ejpam-6372	10	14	phrases	phrase	NOUN
ejpam-6372	10	15	:	:	PUNCT
ejpam-6372	10	16	intuitionistic	intuitionistic	ADJ
ejpam-6372	10	17	pythagorean	pythagorean	ADJ
ejpam-6372	10	18	fuzzy	fuzzy	ADJ
ejpam-6372	10	19	graph	graph	NOUN
ejpam-6372	10	20	,	,	PUNCT
ejpam-6372	10	21	crossing	crossing	NOUN
ejpam-6372	10	22	point	point	NOUN
ejpam-6372	10	23	,	,	PUNCT
ejpam-6372	10	24	strong	strong	ADJ
ejpam-6372	10	25	planarity	planarity	NOUN
ejpam-6372	10	26	and	and	CCONJ
ejpam-6372	10	27	weak	weak	ADJ
ejpam-6372	10	28	planarity	planarity	NOUN
ejpam-6372	10	29	∗corresponding	∗corresponde	VERB
ejpam-6372	10	30	author	author	NOUN
ejpam-6372	10	31	.	.	PUNCT
ejpam-6372	11	1	doi	doi	NOUN
ejpam-6372	11	2	:	:	PUNCT
ejpam-6372	11	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6372	https://doi.org/10.29020/nybg.ejpam.v18i3.6372	VERB
ejpam-6372	11	4	email	email	NOUN
ejpam-6372	11	5	addresses	address	VERB
ejpam-6372	11	6	:	:	PUNCT
ejpam-6372	11	7	nainaru143@gmail.com	nainaru143@gmail.com	X
ejpam-6372	11	8	(	(	PUNCT
ejpam-6372	11	9	n.	n.	PROPN
ejpam-6372	11	10	tarakaramu	tarakaramu	PROPN
ejpam-6372	11	11	)	)	PUNCT
ejpam-6372	11	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6372	12	1	1	1	NUM
ejpam-6372	12	2	copyright	copyright	NOUN
ejpam-6372	12	3	:	:	PUNCT
ejpam-6372	12	4	©	©	PROPN
ejpam-6372	12	5	2025	2025	NUM
ejpam-6372	12	6	the	the	DET
ejpam-6372	12	7	author(s	author(s	NOUN
ejpam-6372	12	8	)	)	PUNCT
ejpam-6372	12	9	.	.	PUNCT
ejpam-6372	13	1	(	(	PUNCT
ejpam-6372	13	2	cc	cc	NOUN
ejpam-6372	13	3	by	by	ADP
ejpam-6372	13	4	-	-	PUNCT
ejpam-6372	13	5	nc	nc	PROPN
ejpam-6372	13	6	4.0	4.0	NUM
ejpam-6372	13	7	)	)	PUNCT
ejpam-6372	13	8	obbu	obbu	NOUN
ejpam-6372	13	9	ramesh	ramesh	PROPN
ejpam-6372	13	10	et.al	et.al	PROPN
ejpam-6372	13	11	/	/	SYM
ejpam-6372	13	12	eur	eur	PROPN
ejpam-6372	13	13	.	.	PUNCT
ejpam-6372	14	1	j.	j.	PROPN
ejpam-6372	14	2	pure	pure	PROPN
ejpam-6372	14	3	appl	appl	PROPN
ejpam-6372	14	4	.	.	PROPN
ejpam-6372	14	5	math	math	PROPN
ejpam-6372	14	6	,	,	PUNCT
ejpam-6372	14	7	18	18	NUM
ejpam-6372	14	8	(	(	PUNCT
ejpam-6372	14	9	3	3	NUM
ejpam-6372	14	10	)	)	PUNCT
ejpam-6372	14	11	(	(	PUNCT
ejpam-6372	14	12	2025	2025	NUM
ejpam-6372	14	13	)	)	PUNCT
ejpam-6372	14	14	,	,	PUNCT
ejpam-6372	14	15	6372	6372	NUM
ejpam-6372	14	16	2	2	NUM
ejpam-6372	14	17	of	of	ADP
ejpam-6372	14	18	17	17	NUM
ejpam-6372	14	19	nomenclature	nomenclature	ADJ
ejpam-6372	14	20	pfpgs	pfpgs	NOUN
ejpam-6372	14	21	pythagorean	pythagorean	PROPN
ejpam-6372	14	22	fuzzy	fuzzy	ADJ
ejpam-6372	14	23	planar	planar	ADJ
ejpam-6372	14	24	graphs	graph	NOUN
ejpam-6372	14	25	ipfgs	ipfg	VERB
ejpam-6372	14	26	intuitionistic	intuitionistic	ADJ
ejpam-6372	14	27	pythagorean	pythagorean	ADJ
ejpam-6372	14	28	fuzzy	fuzzy	ADJ
ejpam-6372	14	29	graphs	graph	NOUN
ejpam-6372	14	30	ifgs	ifg	VERB
ejpam-6372	14	31	intuitionistic	intuitionistic	ADJ
ejpam-6372	14	32	fuzzy	fuzzy	ADJ
ejpam-6372	14	33	graphs	graph	NOUN
ejpam-6372	14	34	ifss	ifss	ADJ
ejpam-6372	14	35	intuitionistic	intuitionistic	ADJ
ejpam-6372	14	36	fuzzy	fuzzy	ADJ
ejpam-6372	14	37	sets	set	NOUN
ejpam-6372	14	38	ifpr	ifpr	NOUN
ejpam-6372	14	39	intuitionistic	intuitionistic	ADJ
ejpam-6372	14	40	fuzzy	fuzzy	ADJ
ejpam-6372	14	41	preference	preference	NOUN
ejpam-6372	14	42	relations	relation	NOUN
ejpam-6372	14	43	pfdgs	pfdgs	PROPN
ejpam-6372	14	44	pythagorean	pythagorean	PROPN
ejpam-6372	14	45	fuzzy	fuzzy	ADJ
ejpam-6372	14	46	dual	dual	ADJ
ejpam-6372	14	47	graphs	graph	NOUN
ejpam-6372	14	48	ζrs	ζrs	VERB
ejpam-6372	14	49	the	the	DET
ejpam-6372	14	50	strength	strength	NOUN
ejpam-6372	14	51	of	of	ADP
ejpam-6372	14	52	the	the	DET
ejpam-6372	14	53	pythagorean	pythagorean	PROPN
ejpam-6372	14	54	fuzzy	fuzzy	ADJ
ejpam-6372	14	55	edge	edge	NOUN
ejpam-6372	14	56	rs	rs	ADP
ejpam-6372	14	57	ζp	ζp	ADP
ejpam-6372	14	58	the	the	DET
ejpam-6372	14	59	crossing	crossing	NOUN
ejpam-6372	14	60	rate	rate	NOUN
ejpam-6372	14	61	at	at	ADP
ejpam-6372	14	62	the	the	DET
ejpam-6372	14	63	point	point	NOUN
ejpam-6372	14	64	ξ	ξ	DET
ejpam-6372	14	65	intuitionistic	intuitionistic	ADJ
ejpam-6372	14	66	pythagorean	pythagorean	ADJ
ejpam-6372	14	67	uncertain	uncertain	ADJ
ejpam-6372	14	68	planarity	planarity	NOUN
ejpam-6372	14	69	rate	rate	NOUN
ejpam-6372	14	70	1	1	NUM
ejpam-6372	14	71	.	.	PUNCT
ejpam-6372	14	72	introduction	introduction	NOUN
ejpam-6372	14	73	the	the	DET
ejpam-6372	14	74	concept	concept	NOUN
ejpam-6372	14	75	of	of	ADP
ejpam-6372	14	76	graphs	graph	NOUN
ejpam-6372	14	77	is	be	AUX
ejpam-6372	14	78	recognized	recognize	VERB
ejpam-6372	14	79	as	as	ADP
ejpam-6372	14	80	one	one	NUM
ejpam-6372	14	81	of	of	ADP
ejpam-6372	14	82	the	the	DET
ejpam-6372	14	83	branches	branch	NOUN
ejpam-6372	14	84	of	of	ADP
ejpam-6372	14	85	mathematics	mathematic	NOUN
ejpam-6372	14	86	that	that	PRON
ejpam-6372	14	87	has	have	AUX
ejpam-6372	14	88	undergone	undergo	VERB
ejpam-6372	14	89	tremendous	tremendous	ADJ
ejpam-6372	14	90	development	development	NOUN
ejpam-6372	14	91	in	in	ADP
ejpam-6372	14	92	recent	recent	ADJ
ejpam-6372	14	93	years	year	NOUN
ejpam-6372	14	94	due	due	ADP
ejpam-6372	14	95	to	to	ADP
ejpam-6372	14	96	its	its	PRON
ejpam-6372	14	97	numerous	numerous	ADJ
ejpam-6372	14	98	applications	application	NOUN
ejpam-6372	14	99	.	.	PUNCT
ejpam-6372	15	1	because	because	SCONJ
ejpam-6372	15	2	of	of	ADP
ejpam-6372	15	3	its	its	PRON
ejpam-6372	15	4	applications	application	NOUN
ejpam-6372	15	5	in	in	ADP
ejpam-6372	15	6	a	a	DET
ejpam-6372	15	7	wide	wide	ADJ
ejpam-6372	15	8	range	range	NOUN
ejpam-6372	15	9	of	of	ADP
ejpam-6372	15	10	fields	field	NOUN
ejpam-6372	15	11	,	,	PUNCT
ejpam-6372	15	12	including	include	VERB
ejpam-6372	15	13	physics	physics	NOUN
ejpam-6372	15	14	,	,	PUNCT
ejpam-6372	15	15	electrical	electrical	ADJ
ejpam-6372	15	16	engineering	engineering	NOUN
ejpam-6372	15	17	,	,	PUNCT
ejpam-6372	15	18	biology	biology	NOUN
ejpam-6372	15	19	,	,	PUNCT
ejpam-6372	15	20	and	and	CCONJ
ejpam-6372	15	21	operations	operation	NOUN
ejpam-6372	15	22	research	research	NOUN
ejpam-6372	15	23	,	,	PUNCT
ejpam-6372	15	24	graph	graph	NOUN
ejpam-6372	15	25	theory	theory	NOUN
ejpam-6372	15	26	is	be	AUX
ejpam-6372	15	27	rapidly	rapidly	ADV
ejpam-6372	15	28	becoming	become	VERB
ejpam-6372	15	29	central	central	ADJ
ejpam-6372	15	30	to	to	ADP
ejpam-6372	15	31	mathematics.[1	mathematics.[1	PROPN
ejpam-6372	15	32	]	]	PUNCT
ejpam-6372	15	33	euler	euler	PROPN
ejpam-6372	15	34	’s	’s	PART
ejpam-6372	15	35	polyhedral	polyhedral	ADJ
ejpam-6372	15	36	formula	formula	NOUN
ejpam-6372	15	37	,	,	PUNCT
ejpam-6372	15	38	which	which	PRON
ejpam-6372	15	39	relates	relate	VERB
ejpam-6372	15	40	the	the	DET
ejpam-6372	15	41	faces	face	NOUN
ejpam-6372	15	42	,	,	PUNCT
ejpam-6372	15	43	edges	edge	NOUN
ejpam-6372	15	44	,	,	PUNCT
ejpam-6372	15	45	and	and	CCONJ
ejpam-6372	15	46	vertices	vertex	NOUN
ejpam-6372	15	47	of	of	ADP
ejpam-6372	15	48	a	a	DET
ejpam-6372	15	49	polyhedron	polyhedron	NOUN
ejpam-6372	15	50	,	,	PUNCT
ejpam-6372	15	51	serves	serve	VERB
ejpam-6372	15	52	as	as	SCONJ
ejpam-6372	15	53	the	the	DET
ejpam-6372	15	54	foundation	foundation	NOUN
ejpam-6372	15	55	for	for	ADP
ejpam-6372	15	56	the	the	DET
ejpam-6372	15	57	theory	theory	NOUN
ejpam-6372	15	58	of	of	ADP
ejpam-6372	15	59	planar	planar	ADJ
ejpam-6372	15	60	graphs.[2	graphs.[2	ADJ
ejpam-6372	15	61	]	]	PUNCT
ejpam-6372	15	62	new	new	ADJ
ejpam-6372	15	63	concept	concept	NOUN
ejpam-6372	15	64	of	of	ADP
ejpam-6372	15	65	planar	planar	ADJ
ejpam-6372	15	66	graphs	graph	NOUN
ejpam-6372	15	67	are	be	AUX
ejpam-6372	15	68	used	use	VERB
ejpam-6372	15	69	to	to	PART
ejpam-6372	15	70	clearly	clearly	ADV
ejpam-6372	15	71	layout	layout	VERB
ejpam-6372	15	72	and	and	CCONJ
ejpam-6372	15	73	shape	shape	VERB
ejpam-6372	15	74	complicated	complicated	ADJ
ejpam-6372	15	75	radio	radio	NOUN
ejpam-6372	15	76	electronic	electronic	ADJ
ejpam-6372	15	77	circuits	circuit	NOUN
ejpam-6372	15	78	,	,	PUNCT
ejpam-6372	15	79	planetary	planetary	ADJ
ejpam-6372	15	80	gearboxes	gearbox	NOUN
ejpam-6372	15	81	,	,	PUNCT
ejpam-6372	15	82	chemical	chemical	NOUN
ejpam-6372	15	83	molecules	molecule	NOUN
ejpam-6372	15	84	and	and	CCONJ
ejpam-6372	15	85	railway	railway	NOUN
ejpam-6372	15	86	maps	map	NOUN
ejpam-6372	15	87	inside	inside	ADP
ejpam-6372	15	88	the	the	DET
ejpam-6372	15	89	modern	modern	ADJ
ejpam-6372	15	90	-	-	PUNCT
ejpam-6372	15	91	day	day	NOUN
ejpam-6372	15	92	technology	technology	NOUN
ejpam-6372	15	93	.	.	PUNCT
ejpam-6372	16	1	subway	subway	NOUN
ejpam-6372	16	2	tunnels	tunnel	NOUN
ejpam-6372	16	3	,	,	PUNCT
ejpam-6372	16	4	railway	railway	NOUN
ejpam-6372	16	5	lines	line	NOUN
ejpam-6372	16	6	,	,	PUNCT
ejpam-6372	16	7	pipelines	pipeline	NOUN
ejpam-6372	16	8	,	,	PUNCT
ejpam-6372	16	9	metro	metro	PROPN
ejpam-6372	16	10	traces	trace	NOUN
ejpam-6372	16	11	and	and	CCONJ
ejpam-6372	16	12	electric	electric	ADJ
ejpam-6372	16	13	powered	power	VERB
ejpam-6372	16	14	transmission	transmission	NOUN
ejpam-6372	16	15	traces	trace	NOUN
ejpam-6372	16	16	are	be	AUX
ejpam-6372	16	17	vital	vital	ADJ
ejpam-6372	16	18	while	while	SCONJ
ejpam-6372	16	19	modelling	model	VERB
ejpam-6372	16	20	an	an	DET
ejpam-6372	16	21	urban	urban	ADJ
ejpam-6372	16	22	town	town	NOUN
ejpam-6372	16	23	.	.	PUNCT
ejpam-6372	17	1	crossing	crossing	NOUN
ejpam-6372	17	2	is	be	AUX
ejpam-6372	17	3	advantageous	advantageous	ADJ
ejpam-6372	17	4	because	because	SCONJ
ejpam-6372	17	5	it	it	PRON
ejpam-6372	17	6	saves	save	VERB
ejpam-6372	17	7	space	space	NOUN
ejpam-6372	17	8	and	and	CCONJ
ejpam-6372	17	9	is	be	AUX
ejpam-6372	17	10	inexpensive	inexpensive	ADJ
ejpam-6372	17	11	,	,	PUNCT
ejpam-6372	17	12	but	but	CCONJ
ejpam-6372	17	13	it	it	PRON
ejpam-6372	17	14	also	also	ADV
ejpam-6372	17	15	has	have	VERB
ejpam-6372	17	16	some	some	DET
ejpam-6372	17	17	disadvantages	disadvantage	NOUN
ejpam-6372	17	18	.	.	PUNCT
ejpam-6372	18	1	although	although	SCONJ
ejpam-6372	18	2	crossing	cross	VERB
ejpam-6372	18	3	such	such	ADJ
ejpam-6372	18	4	lines	line	NOUN
ejpam-6372	18	5	poses	pose	VERB
ejpam-6372	18	6	a	a	DET
ejpam-6372	18	7	significant	significant	ADJ
ejpam-6372	18	8	threat	threat	NOUN
ejpam-6372	18	9	to	to	ADP
ejpam-6372	18	10	human	human	ADJ
ejpam-6372	18	11	life	life	NOUN
ejpam-6372	18	12	,	,	PUNCT
ejpam-6372	18	13	it	it	PRON
ejpam-6372	18	14	is	be	AUX
ejpam-6372	18	15	possible	possible	ADJ
ejpam-6372	18	16	with	with	ADP
ejpam-6372	18	17	the	the	DET
ejpam-6372	18	18	right	right	ADJ
ejpam-6372	18	19	precautions	precaution	NOUN
ejpam-6372	18	20	.	.	PUNCT
ejpam-6372	19	1	when	when	SCONJ
ejpam-6372	19	2	compared	compare	VERB
ejpam-6372	19	3	to	to	ADP
ejpam-6372	19	4	crossing	cross	VERB
ejpam-6372	19	5	between	between	ADP
ejpam-6372	19	6	two	two	NUM
ejpam-6372	19	7	crowded	crowded	ADJ
ejpam-6372	19	8	routes	route	NOUN
ejpam-6372	19	9	,	,	PUNCT
ejpam-6372	19	10	the	the	DET
ejpam-6372	19	11	crossing	crossing	NOUN
ejpam-6372	19	12	between	between	ADP
ejpam-6372	19	13	the	the	DET
ejpam-6372	19	14	uncrowded	uncrowded	ADJ
ejpam-6372	19	15	route	route	NOUN
ejpam-6372	19	16	and	and	CCONJ
ejpam-6372	19	17	crowded	crowded	ADJ
ejpam-6372	19	18	route	route	NOUN
ejpam-6372	19	19	poses	pose	VERB
ejpam-6372	19	20	fewer	few	ADJ
ejpam-6372	19	21	dangers	danger	NOUN
ejpam-6372	19	22	.	.	PUNCT
ejpam-6372	20	1	the	the	DET
ejpam-6372	20	2	relations	relation	NOUN
ejpam-6372	20	3	”	"	PUNCT
ejpam-6372	20	4	uncrowded	uncrowded	ADJ
ejpam-6372	20	5	route	route	NOUN
ejpam-6372	20	6	”	"	PUNCT
ejpam-6372	20	7	and	and	CCONJ
ejpam-6372	20	8	”	"	PUNCT
ejpam-6372	20	9	crowded	crowded	ADJ
ejpam-6372	20	10	route	route	NOUN
ejpam-6372	20	11	”	"	PUNCT
ejpam-6372	20	12	are	be	AUX
ejpam-6372	20	13	mentioned	mention	VERB
ejpam-6372	20	14	to	to	ADP
ejpam-6372	20	15	as	as	ADP
ejpam-6372	20	16	”	"	PUNCT
ejpam-6372	20	17	weak	weak	ADJ
ejpam-6372	20	18	edge	edge	NOUN
ejpam-6372	20	19	”	"	PUNCT
ejpam-6372	20	20	and	and	CCONJ
ejpam-6372	20	21	”	"	PUNCT
ejpam-6372	20	22	strong	strong	ADJ
ejpam-6372	20	23	edge	edge	NOUN
ejpam-6372	20	24	”	"	PUNCT
ejpam-6372	20	25	in	in	ADP
ejpam-6372	20	26	fuzzy	fuzzy	ADJ
ejpam-6372	20	27	graphs	graph	NOUN
ejpam-6372	20	28	,	,	PUNCT
ejpam-6372	20	29	respectively	respectively	ADV
ejpam-6372	20	30	.	.	PUNCT
ejpam-6372	21	1	fuzzy	fuzzy	ADJ
ejpam-6372	21	2	planar	planar	ADJ
ejpam-6372	21	3	graph	graph	NOUN
ejpam-6372	21	4	theory	theory	NOUN
ejpam-6372	21	5	is	be	AUX
ejpam-6372	21	6	made	make	VERB
ejpam-6372	21	7	possible	possible	ADJ
ejpam-6372	21	8	by	by	ADP
ejpam-6372	21	9	allowing	allow	VERB
ejpam-6372	21	10	for	for	ADP
ejpam-6372	21	11	crossings	crossing	NOUN
ejpam-6372	21	12	of	of	ADP
ejpam-6372	21	13	this	this	DET
ejpam-6372	21	14	kind	kind	NOUN
ejpam-6372	21	15	[	[	X
ejpam-6372	21	16	3	3	NUM
ejpam-6372	21	17	]	]	PUNCT
ejpam-6372	21	18	.	.	PUNCT
ejpam-6372	22	1	however	however	ADV
ejpam-6372	22	2	,	,	PUNCT
ejpam-6372	22	3	the	the	DET
ejpam-6372	22	4	modern	modern	ADJ
ejpam-6372	22	5	fuzzy	fuzzy	ADJ
ejpam-6372	22	6	set	set	VERB
ejpam-6372	22	7	concept	concept	NOUN
ejpam-6372	22	8	began	begin	VERB
ejpam-6372	22	9	with	with	ADP
ejpam-6372	22	10	zadeh	zadeh	PROPN
ejpam-6372	22	11	’s	’s	PART
ejpam-6372	22	12	1965	1965	NUM
ejpam-6372	22	13	definition	definition	NOUN
ejpam-6372	22	14	of	of	ADP
ejpam-6372	22	15	the	the	DET
ejpam-6372	22	16	fuzzy	fuzzy	ADJ
ejpam-6372	22	17	subset	subset	NOUN
ejpam-6372	22	18	of	of	ADP
ejpam-6372	22	19	a	a	DET
ejpam-6372	22	20	crisp	crisp	ADJ
ejpam-6372	22	21	set	set	NOUN
ejpam-6372	22	22	as	as	ADP
ejpam-6372	22	23	a	a	DET
ejpam-6372	22	24	generalization	generalization	NOUN
ejpam-6372	22	25	of	of	ADP
ejpam-6372	22	26	the	the	DET
ejpam-6372	22	27	standard	standard	NOUN
ejpam-6372	22	28	subset	subset	VERB
ejpam-6372	23	1	[	[	X
ejpam-6372	23	2	4	4	NUM
ejpam-6372	23	3	]	]	PUNCT
ejpam-6372	23	4	.	.	PUNCT
ejpam-6372	24	1	allowing	allow	VERB
ejpam-6372	24	2	to	to	ADP
ejpam-6372	24	3	the	the	DET
ejpam-6372	24	4	traditional	traditional	ADJ
ejpam-6372	24	5	idea	idea	NOUN
ejpam-6372	24	6	,	,	PUNCT
ejpam-6372	24	7	any	any	DET
ejpam-6372	24	8	component	component	NOUN
ejpam-6372	24	9	has	have	VERB
ejpam-6372	24	10	whichever	whichever	PRON
ejpam-6372	24	11	a	a	DET
ejpam-6372	24	12	membership	membership	NOUN
ejpam-6372	24	13	degree	degree	NOUN
ejpam-6372	24	14	of	of	ADP
ejpam-6372	24	15	one	one	NUM
ejpam-6372	24	16	if	if	SCONJ
ejpam-6372	24	17	it	it	PRON
ejpam-6372	24	18	is	be	AUX
ejpam-6372	24	19	related	relate	VERB
ejpam-6372	24	20	to	to	ADP
ejpam-6372	24	21	the	the	DET
ejpam-6372	24	22	subset	subset	NOUN
ejpam-6372	24	23	being	be	AUX
ejpam-6372	24	24	studied	study	VERB
ejpam-6372	24	25	or	or	CCONJ
ejpam-6372	24	26	a	a	DET
ejpam-6372	24	27	membership	membership	NOUN
ejpam-6372	24	28	degree	degree	NOUN
ejpam-6372	24	29	of	of	ADP
ejpam-6372	24	30	zero	zero	NUM
ejpam-6372	24	31	if	if	SCONJ
ejpam-6372	24	32	it	it	PRON
ejpam-6372	24	33	is	be	AUX
ejpam-6372	24	34	not	not	PART
ejpam-6372	24	35	.	.	PUNCT
ejpam-6372	25	1	however	however	ADV
ejpam-6372	25	2	,	,	PUNCT
ejpam-6372	25	3	the	the	DET
ejpam-6372	25	4	fuzzy	fuzzy	ADJ
ejpam-6372	25	5	idea	idea	NOUN
ejpam-6372	25	6	states	state	VERB
ejpam-6372	25	7	that	that	SCONJ
ejpam-6372	25	8	any	any	DET
ejpam-6372	25	9	element	element	NOUN
ejpam-6372	25	10	with	with	ADP
ejpam-6372	25	11	association	association	NOUN
ejpam-6372	25	12	degree	degree	NOUN
ejpam-6372	25	13	among	among	ADP
ejpam-6372	25	14	zero	zero	NUM
ejpam-6372	25	15	and	and	CCONJ
ejpam-6372	25	16	one	one	NUM
ejpam-6372	25	17	is	be	AUX
ejpam-6372	25	18	a	a	DET
ejpam-6372	25	19	member	member	NOUN
ejpam-6372	25	20	of	of	ADP
ejpam-6372	25	21	the	the	DET
ejpam-6372	25	22	studied	study	VERB
ejpam-6372	25	23	fuzzy	fuzzy	ADJ
ejpam-6372	25	24	subset	subset	NOUN
ejpam-6372	25	25	,	,	PUNCT
ejpam-6372	25	26	which	which	PRON
ejpam-6372	25	27	is	be	AUX
ejpam-6372	25	28	nearer	near	ADJ
ejpam-6372	25	29	to	to	ADP
ejpam-6372	25	30	human	human	ADJ
ejpam-6372	25	31	thought	thought	NOUN
ejpam-6372	25	32	due	due	ADP
ejpam-6372	25	33	to	to	ADP
ejpam-6372	25	34	the	the	DET
ejpam-6372	25	35	fact	fact	NOUN
ejpam-6372	25	36	that	that	SCONJ
ejpam-6372	25	37	our	our	PRON
ejpam-6372	25	38	thoughts	thought	NOUN
ejpam-6372	25	39	work	work	VERB
ejpam-6372	25	40	with	with	ADP
ejpam-6372	25	41	the	the	DET
ejpam-6372	25	42	estimated	estimate	VERB
ejpam-6372	25	43	type	type	NOUN
ejpam-6372	25	44	and	and	CCONJ
ejpam-6372	25	45	do	do	AUX
ejpam-6372	25	46	not	not	PART
ejpam-6372	25	47	know	know	VERB
ejpam-6372	25	48	everything	everything	PRON
ejpam-6372	25	49	exactly	exactly	ADV
ejpam-6372	25	50	.	.	PUNCT
ejpam-6372	26	1	this	this	PRON
ejpam-6372	26	2	can	can	AUX
ejpam-6372	26	3	,	,	PUNCT
ejpam-6372	26	4	for	for	ADP
ejpam-6372	26	5	instance	instance	NOUN
ejpam-6372	26	6	,	,	PUNCT
ejpam-6372	26	7	recognize	recognize	VERB
ejpam-6372	26	8	the	the	DET
ejpam-6372	26	9	gray	gray	ADJ
ejpam-6372	26	10	gradients	gradient	NOUN
ejpam-6372	26	11	of	of	ADP
ejpam-6372	26	12	the	the	DET
ejpam-6372	26	13	white	white	ADJ
ejpam-6372	26	14	and	and	CCONJ
ejpam-6372	26	15	black	black	ADJ
ejpam-6372	26	16	colours	colour	NOUN
ejpam-6372	26	17	.	.	PUNCT
ejpam-6372	27	1	the	the	DET
ejpam-6372	27	2	indistinct	indistinct	ADJ
ejpam-6372	27	3	idea	idea	NOUN
ejpam-6372	27	4	obbu	obbu	PROPN
ejpam-6372	27	5	ramesh	ramesh	PROPN
ejpam-6372	27	6	et.al	et.al	PROPN
ejpam-6372	27	7	/	/	SYM
ejpam-6372	27	8	eur	eur	PROPN
ejpam-6372	27	9	.	.	PUNCT
ejpam-6372	28	1	j.	j.	PROPN
ejpam-6372	28	2	pure	pure	PROPN
ejpam-6372	28	3	appl	appl	PROPN
ejpam-6372	28	4	.	.	PROPN
ejpam-6372	28	5	math	math	PROPN
ejpam-6372	28	6	,	,	PUNCT
ejpam-6372	28	7	18	18	NUM
ejpam-6372	28	8	(	(	PUNCT
ejpam-6372	28	9	3	3	NUM
ejpam-6372	28	10	)	)	PUNCT
ejpam-6372	28	11	(	(	PUNCT
ejpam-6372	28	12	2025	2025	NUM
ejpam-6372	28	13	)	)	PUNCT
ejpam-6372	28	14	,	,	PUNCT
ejpam-6372	28	15	6372	6372	NUM
ejpam-6372	28	16	3	3	NUM
ejpam-6372	28	17	of	of	ADP
ejpam-6372	28	18	17	17	NUM
ejpam-6372	28	19	has	have	AUX
ejpam-6372	28	20	involved	involve	VERB
ejpam-6372	28	21	a	a	DET
ejpam-6372	28	22	lot	lot	NOUN
ejpam-6372	28	23	of	of	ADP
ejpam-6372	28	24	attention	attention	NOUN
ejpam-6372	28	25	due	due	ADP
ejpam-6372	28	26	to	to	ADP
ejpam-6372	28	27	its	its	PRON
ejpam-6372	28	28	numerous	numerous	ADJ
ejpam-6372	28	29	presentations	presentation	NOUN
ejpam-6372	28	30	in	in	ADP
ejpam-6372	28	31	industries	industry	NOUN
ejpam-6372	28	32	,	,	PUNCT
ejpam-6372	28	33	communications	communication	NOUN
ejpam-6372	28	34	,	,	PUNCT
ejpam-6372	28	35	and	and	CCONJ
ejpam-6372	28	36	artificial	artificial	ADJ
ejpam-6372	28	37	intelligence	intelligence	NOUN
ejpam-6372	28	38	,	,	PUNCT
ejpam-6372	28	39	despite	despite	SCONJ
ejpam-6372	28	40	the	the	DET
ejpam-6372	28	41	fact	fact	NOUN
ejpam-6372	28	42	that	that	SCONJ
ejpam-6372	28	43	it	it	PRON
ejpam-6372	28	44	is	be	AUX
ejpam-6372	28	45	considered	consider	VERB
ejpam-6372	28	46	a	a	DET
ejpam-6372	28	47	new	new	ADJ
ejpam-6372	28	48	mathematical	mathematical	ADJ
ejpam-6372	28	49	field	field	NOUN
ejpam-6372	28	50	.	.	PUNCT
ejpam-6372	29	1	consequently	consequently	ADV
ejpam-6372	29	2	,	,	PUNCT
ejpam-6372	29	3	numerous	numerous	ADJ
ejpam-6372	29	4	scientists	scientist	NOUN
ejpam-6372	29	5	and	and	CCONJ
ejpam-6372	29	6	researchers	researcher	NOUN
ejpam-6372	29	7	have	have	AUX
ejpam-6372	29	8	focused	focus	VERB
ejpam-6372	29	9	on	on	ADP
ejpam-6372	29	10	improving	improve	VERB
ejpam-6372	29	11	this	this	DET
ejpam-6372	29	12	concept	concept	NOUN
ejpam-6372	29	13	and	and	CCONJ
ejpam-6372	29	14	implementing	implement	VERB
ejpam-6372	29	15	it	it	PRON
ejpam-6372	29	16	across	across	ADP
ejpam-6372	29	17	all	all	DET
ejpam-6372	29	18	math	math	NOUN
ejpam-6372	29	19	disciplines	discipline	NOUN
ejpam-6372	29	20	.	.	PUNCT
ejpam-6372	30	1	one	one	NUM
ejpam-6372	30	2	of	of	ADP
ejpam-6372	30	3	these	these	DET
ejpam-6372	30	4	fields	field	NOUN
ejpam-6372	30	5	where	where	SCONJ
ejpam-6372	30	6	the	the	DET
ejpam-6372	30	7	fuzzy	fuzzy	ADJ
ejpam-6372	30	8	idea	idea	NOUN
ejpam-6372	30	9	can	can	AUX
ejpam-6372	30	10	be	be	AUX
ejpam-6372	30	11	put	put	VERB
ejpam-6372	30	12	into	into	ADP
ejpam-6372	30	13	practice	practice	NOUN
ejpam-6372	30	14	is	be	AUX
ejpam-6372	30	15	graph	graph	NOUN
ejpam-6372	30	16	theory.[5	theory.[5	NOUN
ejpam-6372	30	17	]	]	PUNCT
ejpam-6372	30	18	rosenfeld	rosenfeld	PROPN
ejpam-6372	30	19	first	first	ADV
ejpam-6372	30	20	proposed	propose	VERB
ejpam-6372	30	21	this	this	DET
ejpam-6372	30	22	theory	theory	NOUN
ejpam-6372	30	23	in	in	ADP
ejpam-6372	30	24	1975	1975	NUM
ejpam-6372	30	25	when	when	SCONJ
ejpam-6372	30	26	he	he	PRON
ejpam-6372	30	27	studied	study	VERB
ejpam-6372	30	28	fuzzy	fuzzy	ADJ
ejpam-6372	30	29	relations	relation	NOUN
ejpam-6372	30	30	on	on	ADP
ejpam-6372	30	31	fuzzy	fuzzy	ADJ
ejpam-6372	30	32	sets	set	NOUN
ejpam-6372	30	33	and	and	CCONJ
ejpam-6372	30	34	established	establish	VERB
ejpam-6372	30	35	the	the	DET
ejpam-6372	30	36	structure	structure	NOUN
ejpam-6372	30	37	of	of	ADP
ejpam-6372	30	38	fuzzy	fuzzy	ADJ
ejpam-6372	30	39	graphs	graph	NOUN
ejpam-6372	30	40	by	by	ADP
ejpam-6372	30	41	extending	extend	VERB
ejpam-6372	30	42	several	several	ADJ
ejpam-6372	30	43	graph	graph	NOUN
ejpam-6372	30	44	-	-	PUNCT
ejpam-6372	30	45	theoretical	theoretical	ADJ
ejpam-6372	30	46	concepts	concept	NOUN
ejpam-6372	30	47	through	through	ADP
ejpam-6372	30	48	analogous	analogous	ADJ
ejpam-6372	30	49	conclusions	conclusion	NOUN
ejpam-6372	30	50	.	.	PUNCT
ejpam-6372	31	1	he	he	PRON
ejpam-6372	31	2	also	also	ADV
ejpam-6372	31	3	discussed	discuss	VERB
ejpam-6372	31	4	concepts	concept	NOUN
ejpam-6372	31	5	such	such	ADJ
ejpam-6372	31	6	as	as	ADP
ejpam-6372	31	7	cut	cut	NOUN
ejpam-6372	31	8	vertices	vertex	NOUN
ejpam-6372	31	9	,	,	PUNCT
ejpam-6372	31	10	trees	tree	NOUN
ejpam-6372	31	11	,	,	PUNCT
ejpam-6372	31	12	forests	forest	NOUN
ejpam-6372	31	13	,	,	PUNCT
ejpam-6372	31	14	paths	path	NOUN
ejpam-6372	31	15	,	,	PUNCT
ejpam-6372	31	16	connectedness	connectedness	NOUN
ejpam-6372	31	17	,	,	PUNCT
ejpam-6372	31	18	and	and	CCONJ
ejpam-6372	31	19	bridges	bridge	NOUN
ejpam-6372	31	20	.	.	PUNCT
ejpam-6372	32	1	additionally	additionally	ADV
ejpam-6372	32	2	,	,	PUNCT
ejpam-6372	32	3	mordeson	mordeson	NOUN
ejpam-6372	32	4	introduced	introduce	VERB
ejpam-6372	32	5	the	the	DET
ejpam-6372	32	6	concepts	concept	NOUN
ejpam-6372	32	7	of	of	ADP
ejpam-6372	32	8	fuzzy	fuzzy	ADJ
ejpam-6372	32	9	diagrams	diagram	NOUN
ejpam-6372	32	10	and	and	CCONJ
ejpam-6372	32	11	fuzzy	fuzzy	ADJ
ejpam-6372	32	12	hyper	hyper	ADJ
ejpam-6372	32	13	diagrams.[6	diagrams.[6	PROPN
ejpam-6372	32	14	]	]	X
ejpam-6372	32	15	rakesh	rakesh	PROPN
ejpam-6372	32	16	jaiswal	jaiswal	PROPN
ejpam-6372	32	17	explored	explore	VERB
ejpam-6372	32	18	the	the	DET
ejpam-6372	32	19	application	application	NOUN
ejpam-6372	32	20	of	of	ADP
ejpam-6372	32	21	fuzzy	fuzzy	ADJ
ejpam-6372	32	22	graph	graph	NOUN
ejpam-6372	32	23	coloring	color	VERB
ejpam-6372	32	24	to	to	ADP
ejpam-6372	32	25	the	the	DET
ejpam-6372	32	26	traffic	traffic	NOUN
ejpam-6372	32	27	light	light	NOUN
ejpam-6372	32	28	problem	problem	NOUN
ejpam-6372	32	29	in	in	ADP
ejpam-6372	32	30	another	another	DET
ejpam-6372	32	31	study.[7	study.[7	NOUN
ejpam-6372	32	32	]	]	X
ejpam-6372	32	33	lavanya	lavanya	NOUN
ejpam-6372	32	34	also	also	ADV
ejpam-6372	32	35	examined	examine	VERB
ejpam-6372	32	36	the	the	DET
ejpam-6372	32	37	concept	concept	NOUN
ejpam-6372	32	38	of	of	ADP
ejpam-6372	32	39	fuzzy	fuzzy	ADJ
ejpam-6372	32	40	total	total	ADJ
ejpam-6372	32	41	coloring	coloring	NOUN
ejpam-6372	32	42	and	and	CCONJ
ejpam-6372	32	43	its	its	PRON
ejpam-6372	32	44	application	application	NOUN
ejpam-6372	32	45	in	in	ADP
ejpam-6372	32	46	job	job	NOUN
ejpam-6372	32	47	scheduling	scheduling	NOUN
ejpam-6372	32	48	.	.	PUNCT
ejpam-6372	33	1	[	[	X
ejpam-6372	33	2	8	8	X
ejpam-6372	33	3	]	]	PUNCT
ejpam-6372	33	4	eslahchi	eslahchi	PROPN
ejpam-6372	33	5	discovered	discover	VERB
ejpam-6372	33	6	the	the	DET
ejpam-6372	33	7	vertex	vertex	NOUN
ejpam-6372	33	8	strength	strength	NOUN
ejpam-6372	33	9	of	of	ADP
ejpam-6372	33	10	fuzzy	fuzzy	ADJ
ejpam-6372	33	11	graphs	graph	NOUN
ejpam-6372	33	12	in	in	ADP
ejpam-6372	33	13	a	a	DET
ejpam-6372	33	14	different	different	ADJ
ejpam-6372	33	15	study	study	NOUN
ejpam-6372	33	16	.	.	PUNCT
ejpam-6372	34	1	deep	deep	ADJ
ejpam-6372	34	2	structure	structure	NOUN
ejpam-6372	34	3	was	be	AUX
ejpam-6372	34	4	added	add	VERB
ejpam-6372	34	5	to	to	ADP
ejpam-6372	34	6	fuzzy	fuzzy	ADJ
ejpam-6372	34	7	graph	graph	NOUN
ejpam-6372	34	8	theory	theory	NOUN
ejpam-6372	34	9	in	in	ADP
ejpam-6372	34	10	recent	recent	ADJ
ejpam-6372	34	11	years	year	NOUN
ejpam-6372	34	12	that	that	PRON
ejpam-6372	34	13	are	be	AUX
ejpam-6372	34	14	a	a	DET
ejpam-6372	34	15	study	study	NOUN
ejpam-6372	34	16	on	on	ADP
ejpam-6372	34	17	fuzzy	fuzzy	ADJ
ejpam-6372	34	18	labelling	labelling	NOUN
ejpam-6372	34	19	graphs	graph	NOUN
ejpam-6372	35	1	[	[	X
ejpam-6372	35	2	9	9	NUM
ejpam-6372	35	3	]	]	PUNCT
ejpam-6372	35	4	,	,	PUNCT
ejpam-6372	35	5	a	a	DET
ejpam-6372	35	6	graph	graph	NOUN
ejpam-6372	35	7	associated	associate	VERB
ejpam-6372	35	8	to	to	ADP
ejpam-6372	35	9	a	a	DET
ejpam-6372	35	10	poly	poly	ADJ
ejpam-6372	35	11	group	group	NOUN
ejpam-6372	35	12	with	with	ADP
ejpam-6372	35	13	respect	respect	NOUN
ejpam-6372	35	14	to	to	ADP
ejpam-6372	35	15	an	an	DET
ejpam-6372	35	16	automorphism	automorphism	NOUN
ejpam-6372	35	17	[	[	X
ejpam-6372	35	18	10	10	NUM
ejpam-6372	35	19	]	]	PUNCT
ejpam-6372	35	20	,	,	PUNCT
ejpam-6372	35	21	sustainable	sustainable	ADJ
ejpam-6372	35	22	goals	goal	NOUN
ejpam-6372	35	23	in	in	ADP
ejpam-6372	35	24	combating	combat	VERB
ejpam-6372	35	25	human	human	ADJ
ejpam-6372	35	26	trafficking	trafficking	NOUN
ejpam-6372	36	1	[	[	X
ejpam-6372	36	2	11	11	NUM
ejpam-6372	36	3	]	]	PUNCT
ejpam-6372	36	4	,	,	PUNCT
ejpam-6372	36	5	fuzzy	fuzzy	ADJ
ejpam-6372	36	6	graph	graph	NOUN
ejpam-6372	36	7	theory	theory	NOUN
ejpam-6372	36	8	with	with	ADP
ejpam-6372	36	9	applications	application	NOUN
ejpam-6372	36	10	to	to	ADP
ejpam-6372	36	11	human	human	ADJ
ejpam-6372	36	12	trafficking	trafficking	NOUN
ejpam-6372	36	13	[	[	X
ejpam-6372	36	14	12	12	NUM
ejpam-6372	36	15	]	]	PUNCT
ejpam-6372	36	16	,	,	PUNCT
ejpam-6372	36	17	fuzzy	fuzzy	ADJ
ejpam-6372	36	18	graph	graph	NOUN
ejpam-6372	36	19	theory	theory	NOUN
ejpam-6372	36	20	[	[	X
ejpam-6372	36	21	13	13	NUM
ejpam-6372	36	22	]	]	PUNCT
ejpam-6372	36	23	and	and	CCONJ
ejpam-6372	36	24	product	product	NOUN
ejpam-6372	36	25	of	of	ADP
ejpam-6372	36	26	bipolar	bipolar	ADJ
ejpam-6372	36	27	fuzzy	fuzzy	ADJ
ejpam-6372	36	28	graphs	graph	NOUN
ejpam-6372	36	29	and	and	CCONJ
ejpam-6372	36	30	their	their	PRON
ejpam-6372	36	31	degree	degree	NOUN
ejpam-6372	37	1	[	[	X
ejpam-6372	37	2	14	14	NUM
ejpam-6372	37	3	]	]	PUNCT
ejpam-6372	37	4	.	.	PUNCT
ejpam-6372	38	1	then	then	ADV
ejpam-6372	38	2	referred	refer	VERB
ejpam-6372	38	3	about	about	ADP
ejpam-6372	38	4	intuitionistic	intuitionistic	ADJ
ejpam-6372	38	5	fuzzy	fuzzy	ADJ
ejpam-6372	38	6	graphs	graph	NOUN
ejpam-6372	38	7	,	,	PUNCT
ejpam-6372	38	8	their	their	PRON
ejpam-6372	38	9	operations	operation	NOUN
ejpam-6372	38	10	[	[	X
ejpam-6372	38	11	15	15	NUM
ejpam-6372	38	12	]	]	PUNCT
ejpam-6372	38	13	,	,	PUNCT
ejpam-6372	38	14	and	and	CCONJ
ejpam-6372	38	15	their	their	PRON
ejpam-6372	38	16	signless	signless	ADJ
ejpam-6372	38	17	laplacian	laplacian	ADJ
ejpam-6372	38	18	energies	energy	NOUN
ejpam-6372	38	19	[	[	X
ejpam-6372	38	20	16].naz	16].naz	NUM
ejpam-6372	38	21	et	et	NOUN
ejpam-6372	38	22	al	al	PROPN
ejpam-6372	38	23	.	.	PUNCT
ejpam-6372	39	1	[	[	X
ejpam-6372	39	2	17	17	NUM
ejpam-6372	39	3	]	]	PUNCT
ejpam-6372	39	4	based	base	VERB
ejpam-6372	39	5	on	on	ADP
ejpam-6372	39	6	akram	akram	PROPN
ejpam-6372	39	7	and	and	CCONJ
ejpam-6372	39	8	davvaz	davvaz	NOUN
ejpam-6372	39	9	’s	’s	PART
ejpam-6372	39	10	ifgs	ifg	VERB
ejpam-6372	39	11	[	[	X
ejpam-6372	39	12	18	18	NUM
ejpam-6372	39	13	]	]	PUNCT
ejpam-6372	39	14	proposed	propose	VERB
ejpam-6372	39	15	pfgs	pfgs	NOUN
ejpam-6372	39	16	and	and	CCONJ
ejpam-6372	39	17	their	their	PRON
ejpam-6372	39	18	applications	application	NOUN
ejpam-6372	39	19	.	.	PUNCT
ejpam-6372	40	1	in	in	ADP
ejpam-6372	40	2	,	,	PUNCT
ejpam-6372	40	3	some	some	DET
ejpam-6372	40	4	pfg	pfg	NOUN
ejpam-6372	40	5	-	-	PUNCT
ejpam-6372	40	6	related	relate	VERB
ejpam-6372	40	7	findings	finding	NOUN
ejpam-6372	40	8	were	be	AUX
ejpam-6372	40	9	discussed	discuss	VERB
ejpam-6372	40	10	[	[	X
ejpam-6372	40	11	19	19	NUM
ejpam-6372	40	12	]	]	PUNCT
ejpam-6372	40	13	.	.	PUNCT
ejpam-6372	41	1	naz	naz	PROPN
ejpam-6372	41	2	and	and	CCONJ
ejpam-6372	41	3	akram	akram	PROPN
ejpam-6372	41	4	conducted	conduct	VERB
ejpam-6372	41	5	research	research	NOUN
ejpam-6372	41	6	on	on	ADP
ejpam-6372	41	7	the	the	DET
ejpam-6372	41	8	pythagorean	pythagorean	ADJ
ejpam-6372	41	9	fuzzy	fuzzy	ADJ
ejpam-6372	41	10	graph	graph	NOUN
ejpam-6372	41	11	energy	energy	NOUN
ejpam-6372	41	12	[	[	X
ejpam-6372	41	13	20	20	NUM
ejpam-6372	41	14	]	]	PUNCT
ejpam-6372	41	15	.	.	PUNCT
ejpam-6372	42	1	ifgs2k	ifgs2k	PROPN
ejpam-6372	42	2	was	be	AUX
ejpam-6372	42	3	dealt	deal	VERB
ejpam-6372	42	4	with	with	ADP
ejpam-6372	42	5	by	by	ADP
ejpam-6372	42	6	dhavudh	dhavudh	NOUN
ejpam-6372	42	7	and	and	CCONJ
ejpam-6372	42	8	srinivasan	srinivasan	NOUN
ejpam-6372	42	9	[	[	X
ejpam-6372	42	10	21	21	NUM
ejpam-6372	42	11	]	]	PUNCT
ejpam-6372	42	12	.	.	PUNCT
ejpam-6372	43	1	verma	verma	PROPN
ejpam-6372	43	2	and	and	CCONJ
ejpam-6372	43	3	co.	co.	PROPN
ejpam-6372	43	4	and	and	CCONJ
ejpam-6372	43	5	akram	akram	PROPN
ejpam-6372	43	6	and	and	CCONJ
ejpam-6372	43	7	others	other	NOUN
ejpam-6372	44	1	[	[	X
ejpam-6372	44	2	22	22	NUM
ejpam-6372	44	3	]	]	PUNCT
ejpam-6372	44	4	suggested	suggest	VERB
ejpam-6372	44	5	a	a	DET
ejpam-6372	44	6	few	few	ADJ
ejpam-6372	44	7	pfg	pfg	NOUN
ejpam-6372	44	8	operations	operation	NOUN
ejpam-6372	44	9	.	.	PUNCT
ejpam-6372	45	1	in	in	ADP
ejpam-6372	45	2	recent	recent	ADJ
ejpam-6372	45	3	times	time	NOUN
ejpam-6372	45	4	,	,	PUNCT
ejpam-6372	45	5	akram	akram	PROPN
ejpam-6372	45	6	et	et	PROPN
ejpam-6372	45	7	al	al	PROPN
ejpam-6372	45	8	.	.	PUNCT
ejpam-6372	46	1	[	[	X
ejpam-6372	46	2	23	23	NUM
ejpam-6372	46	3	]	]	PUNCT
ejpam-6372	46	4	introduced	introduce	VERB
ejpam-6372	46	5	a	a	DET
ejpam-6372	46	6	few	few	ADJ
ejpam-6372	46	7	graphs	graph	NOUN
ejpam-6372	46	8	in	in	ADP
ejpam-6372	46	9	an	an	DET
ejpam-6372	46	10	environment	environment	NOUN
ejpam-6372	46	11	that	that	PRON
ejpam-6372	46	12	was	be	AUX
ejpam-6372	46	13	pythagorean	pythagorean	PROPN
ejpam-6372	46	14	fuzzy	fuzzy	ADJ
ejpam-6372	46	15	.	.	PUNCT
ejpam-6372	47	1	sahoo	sahoo	PROPN
ejpam-6372	47	2	et	et	PROPN
ejpam-6372	47	3	al	al	PROPN
ejpam-6372	47	4	did	do	VERB
ejpam-6372	47	5	their	their	PRON
ejpam-6372	47	6	research	research	NOUN
ejpam-6372	47	7	on	on	ADP
ejpam-6372	47	8	intuitionistic	intuitionistic	ADJ
ejpam-6372	47	9	fuzzy	fuzzy	ADJ
ejpam-6372	47	10	competition	competition	NOUN
ejpam-6372	47	11	graphs	graph	NOUN
ejpam-6372	47	12	[	[	X
ejpam-6372	47	13	24	24	NUM
ejpam-6372	47	14	]	]	PUNCT
ejpam-6372	47	15	,	,	PUNCT
ejpam-6372	47	16	product	product	NOUN
ejpam-6372	47	17	of	of	ADP
ejpam-6372	47	18	intuitionistic	intuitionistic	ADJ
ejpam-6372	47	19	fuzzy	fuzzy	ADJ
ejpam-6372	47	20	graphs	graph	NOUN
ejpam-6372	47	21	,	,	PUNCT
ejpam-6372	47	22	colouring	colouring	NOUN
ejpam-6372	47	23	of	of	ADP
ejpam-6372	47	24	mixed	mixed	ADJ
ejpam-6372	47	25	fuzzy	fuzzy	ADJ
ejpam-6372	47	26	graph	graph	NOUN
ejpam-6372	47	27	[	[	X
ejpam-6372	47	28	25	25	NUM
ejpam-6372	47	29	]	]	PUNCT
ejpam-6372	47	30	,	,	PUNCT
ejpam-6372	47	31	certain	certain	ADJ
ejpam-6372	47	32	types	type	NOUN
ejpam-6372	47	33	of	of	ADP
ejpam-6372	47	34	edge	edge	VERB
ejpam-6372	47	35	irregular	irregular	ADJ
ejpam-6372	47	36	intuitionistic	intuitionistic	ADJ
ejpam-6372	47	37	fuzzy	fuzzy	ADJ
ejpam-6372	47	38	graphs	graph	NOUN
ejpam-6372	47	39	[	[	X
ejpam-6372	47	40	26	26	NUM
ejpam-6372	47	41	]	]	PUNCT
ejpam-6372	47	42	and	and	CCONJ
ejpam-6372	47	43	colouring	colouring	NOUN
ejpam-6372	47	44	of	of	ADP
ejpam-6372	47	45	mixed	mixed	ADJ
ejpam-6372	47	46	fuzzy	fuzzy	ADJ
ejpam-6372	47	47	graph	graph	NOUN
ejpam-6372	47	48	and	and	CCONJ
ejpam-6372	47	49	its	its	PRON
ejpam-6372	47	50	application	application	NOUN
ejpam-6372	47	51	in	in	ADP
ejpam-6372	47	52	covid19	covid19	NOUN
ejpam-6372	48	1	[	[	X
ejpam-6372	48	2	27	27	NUM
ejpam-6372	48	3	]	]	PUNCT
ejpam-6372	48	4	.	.	PUNCT
ejpam-6372	49	1	shaik	shaik	PROPN
ejpam-6372	49	2	noorjahan	noorjahan	PROPN
ejpam-6372	49	3	and	and	CCONJ
ejpam-6372	49	4	sharief	sharief	PROPN
ejpam-6372	49	5	basha	basha	PROPN
ejpam-6372	49	6	shaik	shaik	PROPN
ejpam-6372	49	7	proposed	propose	VERB
ejpam-6372	49	8	using	use	VERB
ejpam-6372	49	9	correlation	correlation	NOUN
ejpam-6372	49	10	coefficient	coefficient	NOUN
ejpam-6372	49	11	measurements	measurement	NOUN
ejpam-6372	49	12	between	between	ADP
ejpam-6372	49	13	each	each	DET
ejpam-6372	49	14	option	option	NOUN
ejpam-6372	49	15	and	and	CCONJ
ejpam-6372	49	16	the	the	DET
ejpam-6372	49	17	optimal	optimal	ADJ
ejpam-6372	49	18	choice	choice	NOUN
ejpam-6372	49	19	to	to	PART
ejpam-6372	49	20	calculate	calculate	VERB
ejpam-6372	49	21	the	the	DET
ejpam-6372	49	22	ranking	rank	VERB
ejpam-6372	49	23	order	order	NOUN
ejpam-6372	49	24	of	of	ADP
ejpam-6372	49	25	the	the	DET
ejpam-6372	49	26	alternatives	alternative	NOUN
ejpam-6372	49	27	in	in	ADP
ejpam-6372	49	28	the	the	DET
ejpam-6372	49	29	study	study	NOUN
ejpam-6372	49	30	[	[	X
ejpam-6372	49	31	28	28	NUM
ejpam-6372	49	32	]	]	PUNCT
ejpam-6372	49	33	.	.	PUNCT
ejpam-6372	50	1	shaik	shaik	PROPN
ejpam-6372	50	2	noorjahan	noorjahan	PROPN
ejpam-6372	50	3	and	and	CCONJ
ejpam-6372	50	4	shaik	shaik	PROPN
ejpam-6372	50	5	sharief	sharief	PROPN
ejpam-6372	50	6	basha	basha	PROPN
ejpam-6372	50	7	investigated	investigate	VERB
ejpam-6372	50	8	the	the	DET
ejpam-6372	50	9	use	use	NOUN
ejpam-6372	50	10	of	of	ADP
ejpam-6372	50	11	the	the	DET
ejpam-6372	50	12	intuitionistic	intuitionistic	ADJ
ejpam-6372	50	13	fuzzy	fuzzy	ADJ
ejpam-6372	50	14	rough	rough	ADJ
ejpam-6372	50	15	preference	preference	NOUN
ejpam-6372	50	16	relation	relation	NOUN
ejpam-6372	50	17	method	method	NOUN
ejpam-6372	50	18	for	for	ADP
ejpam-6372	50	19	processing	process	VERB
ejpam-6372	50	20	the	the	DET
ejpam-6372	50	21	intuitionistic	intuitionistic	ADJ
ejpam-6372	50	22	fuzzy	fuzzy	ADJ
ejpam-6372	50	23	rough	rough	ADJ
ejpam-6372	50	24	weighted	weight	VERB
ejpam-6372	50	25	average	average	NOUN
ejpam-6372	50	26	[	[	X
ejpam-6372	50	27	29	29	NUM
ejpam-6372	50	28	]	]	PUNCT
ejpam-6372	50	29	.	.	PUNCT
ejpam-6372	51	1	naveen	naveen	PROPN
ejpam-6372	51	2	kumar	kumar	PROPN
ejpam-6372	51	3	akula	akula	PROPN
ejpam-6372	51	4	and	and	CCONJ
ejpam-6372	51	5	shaik	shaik	PROPN
ejpam-6372	51	6	sharief	sharief	PROPN
ejpam-6372	51	7	basha	basha	PROPN
ejpam-6372	51	8	proposed	propose	VERB
ejpam-6372	51	9	a	a	DET
ejpam-6372	51	10	novel	novel	ADJ
ejpam-6372	51	11	method	method	NOUN
ejpam-6372	51	12	for	for	ADP
ejpam-6372	51	13	calculating	calculate	VERB
ejpam-6372	51	14	the	the	DET
ejpam-6372	51	15	comparative	comparative	ADJ
ejpam-6372	51	16	position	position	NOUN
ejpam-6372	51	17	loads	load	NOUN
ejpam-6372	51	18	of	of	ADP
ejpam-6372	51	19	establishments	establishment	NOUN
ejpam-6372	51	20	by	by	ADP
ejpam-6372	51	21	manipulating	manipulate	VERB
ejpam-6372	51	22	the	the	DET
ejpam-6372	51	23	undecided	undecided	ADJ
ejpam-6372	51	24	corroboration	corroboration	NOUN
ejpam-6372	51	25	of	of	ADP
ejpam-6372	51	26	ifpr	ifpr	NOUN
ejpam-6372	51	27	and	and	CCONJ
ejpam-6372	51	28	the	the	DET
ejpam-6372	51	29	correlation	correlation	NOUN
ejpam-6372	51	30	coefficient	coefficient	NOUN
ejpam-6372	51	31	between	between	ADP
ejpam-6372	51	32	one	one	NUM
ejpam-6372	51	33	ifpr	ifpr	NOUN
ejpam-6372	51	34	and	and	CCONJ
ejpam-6372	51	35	other	other	ADJ
ejpam-6372	51	36	items	item	NOUN
ejpam-6372	51	37	[	[	X
ejpam-6372	51	38	30	30	NUM
ejpam-6372	51	39	]	]	PUNCT
ejpam-6372	51	40	.	.	PUNCT
ejpam-6372	52	1	noorjahan	noorjahan	PROPN
ejpam-6372	52	2	s	s	PART
ejpam-6372	52	3	and	and	CCONJ
ejpam-6372	52	4	sharief	sharief	PROPN
ejpam-6372	52	5	basha	basha	PROPN
ejpam-6372	52	6	s	s	PROPN
ejpam-6372	52	7	proposed	propose	VERB
ejpam-6372	52	8	a	a	DET
ejpam-6372	52	9	novel	novel	ADJ
ejpam-6372	52	10	method	method	NOUN
ejpam-6372	52	11	for	for	ADP
ejpam-6372	52	12	calculating	calculate	VERB
ejpam-6372	52	13	the	the	DET
ejpam-6372	52	14	relative	relative	ADJ
ejpam-6372	52	15	position	position	NOUN
ejpam-6372	52	16	loads	load	NOUN
ejpam-6372	52	17	of	of	ADP
ejpam-6372	52	18	establishments	establishment	NOUN
ejpam-6372	52	19	by	by	ADP
ejpam-6372	52	20	varying	vary	VERB
ejpam-6372	52	21	the	the	DET
ejpam-6372	52	22	correlation	correlation	NOUN
ejpam-6372	52	23	coefficient	coefficient	NOUN
ejpam-6372	52	24	between	between	ADP
ejpam-6372	52	25	the	the	DET
ejpam-6372	52	26	intuitionistic	intuitionistic	ADJ
ejpam-6372	52	27	fuzzy	fuzzy	ADJ
ejpam-6372	52	28	rough	rough	ADJ
ejpam-6372	52	29	preference	preference	NOUN
ejpam-6372	52	30	relation	relation	NOUN
ejpam-6372	52	31	of	of	ADP
ejpam-6372	52	32	one	one	NUM
ejpam-6372	52	33	entity	entity	NOUN
ejpam-6372	52	34	and	and	CCONJ
ejpam-6372	52	35	the	the	DET
ejpam-6372	52	36	other	other	ADJ
ejpam-6372	52	37	items	item	NOUN
ejpam-6372	52	38	,	,	PUNCT
ejpam-6372	52	39	as	as	ADV
ejpam-6372	52	40	well	well	ADV
ejpam-6372	52	41	as	as	ADP
ejpam-6372	52	42	the	the	DET
ejpam-6372	52	43	undecided	undecided	ADJ
ejpam-6372	52	44	corroboration	corroboration	NOUN
ejpam-6372	52	45	within	within	ADP
ejpam-6372	52	46	the	the	DET
ejpam-6372	52	47	intuitionistic	intuitionistic	ADJ
ejpam-6372	52	48	fuzzy	fuzzy	ADJ
ejpam-6372	52	49	rough	rough	ADJ
ejpam-6372	52	50	preference	preference	NOUN
ejpam-6372	52	51	relation	relation	NOUN
ejpam-6372	52	52	[	[	X
ejpam-6372	52	53	31	31	NUM
ejpam-6372	52	54	]	]	PUNCT
ejpam-6372	52	55	.	.	PUNCT
ejpam-6372	53	1	[	[	X
ejpam-6372	53	2	32	32	NUM
ejpam-6372	53	3	]	]	PUNCT
ejpam-6372	53	4	areej	areej	NOUN
ejpam-6372	53	5	almuhaimeed	almuhaimeed	PROPN
ejpam-6372	53	6	presents	present	VERB
ejpam-6372	53	7	the	the	DET
ejpam-6372	53	8	concepts	concept	NOUN
ejpam-6372	53	9	of	of	ADP
ejpam-6372	53	10	a	a	DET
ejpam-6372	53	11	normal	normal	ADJ
ejpam-6372	53	12	hx	hx	PROPN
ejpam-6372	53	13	-	-	PUNCT
ejpam-6372	53	14	subgroup	subgroup	PROPN
ejpam-6372	53	15	and	and	CCONJ
ejpam-6372	53	16	a	a	DET
ejpam-6372	53	17	pythagorean	pythagorean	ADJ
ejpam-6372	53	18	fuzzy	fuzzy	ADJ
ejpam-6372	53	19	hx	hx	PROPN
ejpam-6372	53	20	-	-	PUNCT
ejpam-6372	53	21	subgroup	subgroup	NOUN
ejpam-6372	53	22	.	.	PUNCT
ejpam-6372	54	1	[	[	X
ejpam-6372	54	2	33	33	NUM
ejpam-6372	54	3	]	]	PUNCT
ejpam-6372	54	4	using	use	VERB
ejpam-6372	54	5	the	the	DET
ejpam-6372	54	6	pythagorean	pythagorean	PROPN
ejpam-6372	54	7	fuzzy	fuzzy	ADJ
ejpam-6372	54	8	soft	soft	ADJ
ejpam-6372	54	9	interior	interior	ADJ
ejpam-6372	54	10	operator	operator	NOUN
ejpam-6372	54	11	,	,	PUNCT
ejpam-6372	54	12	a.a	a.a	PROPN
ejpam-6372	54	13	.	.	PROPN
ejpam-6372	54	14	azzam	azzam	PROPN
ejpam-6372	54	15	and	and	CCONJ
ejpam-6372	54	16	m.	m.	PROPN
ejpam-6372	54	17	aldawood	aldawood	PROPN
ejpam-6372	54	18	present	present	VERB
ejpam-6372	54	19	the	the	DET
ejpam-6372	54	20	idea	idea	NOUN
ejpam-6372	54	21	of	of	ADP
ejpam-6372	54	22	pythagorean	pythagorean	PROPN
ejpam-6372	54	23	fuzzy	fuzzy	ADJ
ejpam-6372	54	24	soft	soft	ADJ
ejpam-6372	54	25	somewhat	somewhat	ADV
ejpam-6372	54	26	open	open	ADJ
ejpam-6372	54	27	sets	set	NOUN
ejpam-6372	54	28	and	and	CCONJ
ejpam-6372	54	29	expand	expand	VERB
ejpam-6372	54	30	its	its	PRON
ejpam-6372	54	31	use	use	NOUN
ejpam-6372	54	32	to	to	PART
ejpam-6372	54	33	pythagorean	pythagorean	VERB
ejpam-6372	54	34	fuzzy	fuzzy	ADJ
ejpam-6372	54	35	soft	soft	ADJ
ejpam-6372	54	36	topological	topological	ADJ
ejpam-6372	54	37	spaces	space	NOUN
ejpam-6372	54	38	.	.	PUNCT
ejpam-6372	55	1	this	this	DET
ejpam-6372	55	2	paper	paper	NOUN
ejpam-6372	55	3	extends	extend	VERB
ejpam-6372	55	4	graph	graph	VERB
ejpam-6372	55	5	theoretical	theoretical	ADJ
ejpam-6372	55	6	results	result	NOUN
ejpam-6372	55	7	within	within	ADP
ejpam-6372	55	8	the	the	DET
ejpam-6372	55	9	intuitionistic	intuitionistic	ADJ
ejpam-6372	55	10	pythagorean	pythagorean	ADJ
ejpam-6372	55	11	fuzzy	fuzzy	ADJ
ejpam-6372	55	12	environment	environment	NOUN
ejpam-6372	55	13	.	.	PUNCT
ejpam-6372	56	1	the	the	DET
ejpam-6372	56	2	structure	structure	NOUN
ejpam-6372	56	3	obbu	obbu	PROPN
ejpam-6372	56	4	ramesh	ramesh	PROPN
ejpam-6372	56	5	et.al	et.al	PROPN
ejpam-6372	56	6	/	/	SYM
ejpam-6372	56	7	eur	eur	PROPN
ejpam-6372	56	8	.	.	PUNCT
ejpam-6372	57	1	j.	j.	PROPN
ejpam-6372	57	2	pure	pure	PROPN
ejpam-6372	57	3	appl	appl	PROPN
ejpam-6372	57	4	.	.	PROPN
ejpam-6372	57	5	math	math	PROPN
ejpam-6372	57	6	,	,	PUNCT
ejpam-6372	57	7	18	18	NUM
ejpam-6372	57	8	(	(	PUNCT
ejpam-6372	57	9	3	3	NUM
ejpam-6372	57	10	)	)	PUNCT
ejpam-6372	57	11	(	(	PUNCT
ejpam-6372	57	12	2025	2025	NUM
ejpam-6372	57	13	)	)	PUNCT
ejpam-6372	57	14	,	,	PUNCT
ejpam-6372	57	15	6372	6372	NUM
ejpam-6372	57	16	4	4	NUM
ejpam-6372	57	17	of	of	ADP
ejpam-6372	57	18	17	17	NUM
ejpam-6372	57	19	and	and	CCONJ
ejpam-6372	57	20	applicability	applicability	NOUN
ejpam-6372	57	21	of	of	ADP
ejpam-6372	57	22	planar	planar	ADJ
ejpam-6372	57	23	graphs	graph	NOUN
ejpam-6372	57	24	are	be	AUX
ejpam-6372	57	25	fascinating	fascinating	ADJ
ejpam-6372	57	26	.	.	PUNCT
ejpam-6372	58	1	for	for	ADP
ejpam-6372	58	2	instance	instance	NOUN
ejpam-6372	58	3	,	,	PUNCT
ejpam-6372	58	4	when	when	SCONJ
ejpam-6372	58	5	designing	design	VERB
ejpam-6372	58	6	complex	complex	ADJ
ejpam-6372	58	7	radio	radio	NOUN
ejpam-6372	58	8	electronic	electronic	ADJ
ejpam-6372	58	9	circuits	circuit	NOUN
ejpam-6372	58	10	,	,	PUNCT
ejpam-6372	58	11	components	component	NOUN
ejpam-6372	58	12	can	can	AUX
ejpam-6372	58	13	be	be	AUX
ejpam-6372	58	14	arranged	arrange	VERB
ejpam-6372	58	15	so	so	SCONJ
ejpam-6372	58	16	that	that	SCONJ
ejpam-6372	58	17	the	the	DET
ejpam-6372	58	18	conductors	conductor	NOUN
ejpam-6372	58	19	connecting	connect	VERB
ejpam-6372	58	20	them	they	PRON
ejpam-6372	58	21	do	do	AUX
ejpam-6372	58	22	not	not	PART
ejpam-6372	58	23	cross	cross	VERB
ejpam-6372	58	24	,	,	PUNCT
ejpam-6372	58	25	and	and	CCONJ
ejpam-6372	58	26	the	the	DET
ejpam-6372	58	27	concept	concept	NOUN
ejpam-6372	58	28	of	of	ADP
ejpam-6372	58	29	planar	planar	ADJ
ejpam-6372	58	30	graphs	graph	NOUN
ejpam-6372	58	31	can	can	AUX
ejpam-6372	58	32	be	be	AUX
ejpam-6372	58	33	applied	apply	VERB
ejpam-6372	58	34	to	to	PART
ejpam-6372	58	35	address	address	VERB
ejpam-6372	58	36	this	this	DET
ejpam-6372	58	37	issue	issue	NOUN
ejpam-6372	58	38	.	.	PUNCT
ejpam-6372	59	1	the	the	DET
ejpam-6372	59	2	precise	precise	ADJ
ejpam-6372	59	3	structuring	structuring	NOUN
ejpam-6372	59	4	of	of	ADP
ejpam-6372	59	5	a	a	DET
ejpam-6372	59	6	street	street	NOUN
ejpam-6372	59	7	or	or	CCONJ
ejpam-6372	59	8	communication	communication	NOUN
ejpam-6372	59	9	network	network	NOUN
ejpam-6372	59	10	is	be	AUX
ejpam-6372	59	11	made	make	VERB
ejpam-6372	59	12	possible	possible	ADJ
ejpam-6372	59	13	through	through	ADP
ejpam-6372	59	14	the	the	DET
ejpam-6372	59	15	concepts	concept	NOUN
ejpam-6372	59	16	of	of	ADP
ejpam-6372	59	17	intuitionistic	intuitionistic	ADJ
ejpam-6372	59	18	pythagorean	pythagorean	ADJ
ejpam-6372	59	19	fuzzy	fuzzy	ADJ
ejpam-6372	59	20	graphs	graph	NOUN
ejpam-6372	59	21	(	(	PUNCT
ejpam-6372	59	22	ipfgs	ipfgs	NOUN
ejpam-6372	59	23	)	)	PUNCT
ejpam-6372	59	24	,	,	PUNCT
ejpam-6372	59	25	pythagorean	pythagorean	PROPN
ejpam-6372	59	26	fuzzy	fuzzy	ADJ
ejpam-6372	59	27	planar	planar	ADJ
ejpam-6372	59	28	graphs	graph	NOUN
ejpam-6372	59	29	(	(	PUNCT
ejpam-6372	59	30	pfpgs	pfpgs	NOUN
ejpam-6372	59	31	)	)	PUNCT
ejpam-6372	59	32	,	,	PUNCT
ejpam-6372	59	33	and	and	CCONJ
ejpam-6372	59	34	pythagorean	pythagorean	VERB
ejpam-6372	59	35	fuzzy	fuzzy	ADJ
ejpam-6372	59	36	dual	dual	ADJ
ejpam-6372	59	37	graphs	graph	NOUN
ejpam-6372	59	38	(	(	PUNCT
ejpam-6372	59	39	pfdgs	pfdgs	NOUN
ejpam-6372	59	40	)	)	PUNCT
ejpam-6372	59	41	,	,	PUNCT
ejpam-6372	59	42	which	which	PRON
ejpam-6372	59	43	are	be	AUX
ejpam-6372	59	44	discussed	discuss	VERB
ejpam-6372	59	45	in	in	ADP
ejpam-6372	59	46	this	this	DET
ejpam-6372	59	47	study	study	NOUN
ejpam-6372	59	48	.	.	PUNCT
ejpam-6372	60	1	by	by	ADP
ejpam-6372	60	2	utilizing	utilize	VERB
ejpam-6372	60	3	these	these	DET
ejpam-6372	60	4	diagrams	diagram	NOUN
ejpam-6372	60	5	,	,	PUNCT
ejpam-6372	60	6	some	some	DET
ejpam-6372	60	7	real	real	ADJ
ejpam-6372	60	8	-	-	PUNCT
ejpam-6372	60	9	world	world	NOUN
ejpam-6372	60	10	problems	problem	NOUN
ejpam-6372	60	11	can	can	AUX
ejpam-6372	60	12	be	be	AUX
ejpam-6372	60	13	analysed	analyse	VERB
ejpam-6372	60	14	and	and	CCONJ
ejpam-6372	60	15	designed	design	VERB
ejpam-6372	60	16	effectively	effectively	ADV
ejpam-6372	60	17	.	.	PUNCT
ejpam-6372	61	1	planarity	planarity	NOUN
ejpam-6372	61	2	is	be	AUX
ejpam-6372	61	3	a	a	DET
ejpam-6372	61	4	significant	significant	ADJ
ejpam-6372	61	5	property	property	NOUN
ejpam-6372	61	6	that	that	PRON
ejpam-6372	61	7	is	be	AUX
ejpam-6372	61	8	central	central	ADJ
ejpam-6372	61	9	to	to	ADP
ejpam-6372	61	10	this	this	DET
ejpam-6372	61	11	research	research	NOUN
ejpam-6372	61	12	.	.	PUNCT
ejpam-6372	62	1	non	non	ADJ
ejpam-6372	62	2	-	-	ADJ
ejpam-6372	62	3	planar	planar	ADJ
ejpam-6372	62	4	ipfgs	ipfgs	NOUN
ejpam-6372	62	5	are	be	AUX
ejpam-6372	62	6	also	also	ADV
ejpam-6372	62	7	critically	critically	ADV
ejpam-6372	62	8	analysed	analyse	VERB
ejpam-6372	62	9	.	.	PUNCT
ejpam-6372	63	1	intuitionistic	intuitionistic	ADJ
ejpam-6372	63	2	pythagorean	pythagorean	PROPN
ejpam-6372	63	3	fuzzy	fuzzy	ADJ
ejpam-6372	63	4	planar	planar	ADJ
ejpam-6372	63	5	graphs	graph	NOUN
ejpam-6372	63	6	and	and	CCONJ
ejpam-6372	63	7	pythagorean	pythagorean	PROPN
ejpam-6372	63	8	fuzzy	fuzzy	ADJ
ejpam-6372	63	9	dual	dual	ADJ
ejpam-6372	63	10	graphs	graph	NOUN
ejpam-6372	63	11	are	be	AUX
ejpam-6372	63	12	found	find	VERB
ejpam-6372	63	13	to	to	PART
ejpam-6372	63	14	be	be	AUX
ejpam-6372	63	15	closely	closely	ADV
ejpam-6372	63	16	related	relate	VERB
ejpam-6372	63	17	.	.	PUNCT
ejpam-6372	64	1	by	by	ADP
ejpam-6372	64	2	introducing	introduce	VERB
ejpam-6372	64	3	the	the	DET
ejpam-6372	64	4	concepts	concept	NOUN
ejpam-6372	64	5	of	of	ADP
ejpam-6372	64	6	crossing	crossing	NOUN
ejpam-6372	64	7	rate	rate	NOUN
ejpam-6372	64	8	and	and	CCONJ
ejpam-6372	64	9	intuitionistic	intuitionistic	ADJ
ejpam-6372	64	10	pythagorean	pythagorean	ADJ
ejpam-6372	64	11	fuzzy	fuzzy	ADJ
ejpam-6372	64	12	planarity	planarity	NOUN
ejpam-6372	64	13	rate	rate	NOUN
ejpam-6372	64	14	,	,	PUNCT
ejpam-6372	64	15	this	this	DET
ejpam-6372	64	16	paper	paper	NOUN
ejpam-6372	64	17	defines	define	VERB
ejpam-6372	64	18	the	the	DET
ejpam-6372	64	19	terms	term	NOUN
ejpam-6372	64	20	intuitionistic	intuitionistic	ADJ
ejpam-6372	64	21	pythagorean	pythagorean	ADJ
ejpam-6372	64	22	fuzzy	fuzzy	ADJ
ejpam-6372	64	23	planar	planar	ADJ
ejpam-6372	64	24	graphs	graph	NOUN
ejpam-6372	64	25	and	and	CCONJ
ejpam-6372	64	26	planarity	planarity	NOUN
ejpam-6372	64	27	of	of	ADP
ejpam-6372	64	28	intuitionistic	intuitionistic	ADJ
ejpam-6372	64	29	pythagorean	pythagorean	ADJ
ejpam-6372	64	30	fuzzy	fuzzy	ADJ
ejpam-6372	64	31	planar	planar	ADJ
ejpam-6372	64	32	graphs	graph	NOUN
ejpam-6372	64	33	,	,	PUNCT
ejpam-6372	64	34	and	and	CCONJ
ejpam-6372	64	35	examines	examine	VERB
ejpam-6372	64	36	related	related	ADJ
ejpam-6372	64	37	results	result	NOUN
ejpam-6372	64	38	.	.	PUNCT
ejpam-6372	65	1	applications	application	NOUN
ejpam-6372	65	2	of	of	ADP
ejpam-6372	65	3	ipfpgs	ipfpgs	NOUN
ejpam-6372	65	4	are	be	AUX
ejpam-6372	65	5	also	also	ADV
ejpam-6372	65	6	discussed	discuss	VERB
ejpam-6372	65	7	.	.	PUNCT
ejpam-6372	66	1	2	2	X
ejpam-6372	66	2	.	.	X
ejpam-6372	66	3	preliminaries	preliminary	NOUN
ejpam-6372	66	4	this	this	DET
ejpam-6372	66	5	section	section	NOUN
ejpam-6372	66	6	provides	provide	VERB
ejpam-6372	66	7	a	a	DET
ejpam-6372	66	8	brief	brief	ADJ
ejpam-6372	66	9	discussion	discussion	NOUN
ejpam-6372	66	10	of	of	ADP
ejpam-6372	66	11	intuitionistic	intuitionistic	ADJ
ejpam-6372	66	12	fuzzy	fuzzy	ADJ
ejpam-6372	66	13	sets	set	NOUN
ejpam-6372	66	14	,	,	PUNCT
ejpam-6372	66	15	intuitionistic	intuitionistic	ADJ
ejpam-6372	66	16	fuzzy	fuzzy	ADJ
ejpam-6372	66	17	diagrams	diagram	NOUN
ejpam-6372	66	18	,	,	PUNCT
ejpam-6372	66	19	pythagorean	pythagorean	PROPN
ejpam-6372	66	20	fuzzy	fuzzy	ADJ
ejpam-6372	66	21	sets	set	NOUN
ejpam-6372	66	22	,	,	PUNCT
ejpam-6372	66	23	and	and	CCONJ
ejpam-6372	66	24	graph	graph	NOUN
ejpam-6372	66	25	theory	theory	NOUN
ejpam-6372	66	26	.	.	PUNCT
ejpam-6372	67	1	2.1	2.1	NUM
ejpam-6372	67	2	.	.	PUNCT
ejpam-6372	68	1	intuitionistic	intuitionistic	ADJ
ejpam-6372	68	2	fuzzy	fuzzy	ADJ
ejpam-6372	68	3	graph	graph	NOUN
ejpam-6372	68	4	sets	set	NOUN
ejpam-6372	68	5	whose	whose	DET
ejpam-6372	68	6	elements	element	NOUN
ejpam-6372	68	7	have	have	VERB
ejpam-6372	68	8	varying	vary	VERB
ejpam-6372	68	9	degrees	degree	NOUN
ejpam-6372	68	10	of	of	ADP
ejpam-6372	68	11	membership	membership	NOUN
ejpam-6372	68	12	and	and	CCONJ
ejpam-6372	68	13	non	non	ADJ
ejpam-6372	68	14	-	-	ADJ
ejpam-6372	68	15	membership	membership	NOUN
ejpam-6372	68	16	are	be	AUX
ejpam-6372	68	17	known	know	VERB
ejpam-6372	68	18	as	as	ADP
ejpam-6372	68	19	intuitionistic	intuitionistic	ADJ
ejpam-6372	68	20	fuzzy	fuzzy	ADJ
ejpam-6372	68	21	sets	set	NOUN
ejpam-6372	68	22	.	.	PUNCT
ejpam-6372	69	1	the	the	DET
ejpam-6372	69	2	concept	concept	NOUN
ejpam-6372	69	3	of	of	ADP
ejpam-6372	69	4	intuitionistic	intuitionistic	ADJ
ejpam-6372	69	5	fuzzy	fuzzy	ADJ
ejpam-6372	69	6	sets	set	NOUN
ejpam-6372	69	7	was	be	AUX
ejpam-6372	69	8	introduced	introduce	VERB
ejpam-6372	69	9	by	by	ADP
ejpam-6372	69	10	krassimir	krassimir	NOUN
ejpam-6372	69	11	atanassov	atanassov	NOUN
ejpam-6372	69	12	in	in	ADP
ejpam-6372	69	13	1983	1983	NUM
ejpam-6372	69	14	as	as	ADP
ejpam-6372	69	15	an	an	DET
ejpam-6372	69	16	extension	extension	NOUN
ejpam-6372	69	17	of	of	ADP
ejpam-6372	69	18	lotfi	lotfi	PROPN
ejpam-6372	69	19	zadeh	zadeh	PROPN
ejpam-6372	69	20	’s	’s	PART
ejpam-6372	69	21	fuzzy	fuzzy	ADJ
ejpam-6372	69	22	set	set	NOUN
ejpam-6372	69	23	theory	theory	NOUN
ejpam-6372	69	24	,	,	PUNCT
ejpam-6372	69	25	which	which	PRON
ejpam-6372	69	26	itself	itself	PRON
ejpam-6372	69	27	extends	extend	VERB
ejpam-6372	69	28	the	the	DET
ejpam-6372	69	29	classical	classical	ADJ
ejpam-6372	69	30	notion	notion	NOUN
ejpam-6372	69	31	of	of	ADP
ejpam-6372	69	32	a	a	DET
ejpam-6372	69	33	set	set	NOUN
ejpam-6372	69	34	.	.	PUNCT
ejpam-6372	70	1	definition	definition	NOUN
ejpam-6372	70	2	1	1	NUM
ejpam-6372	70	3	(	(	PUNCT
ejpam-6372	70	4	[	[	X
ejpam-6372	70	5	34	34	NUM
ejpam-6372	70	6	]	]	PUNCT
ejpam-6372	70	7	)	)	PUNCT
ejpam-6372	70	8	.	.	PUNCT
ejpam-6372	71	1	let	let	VERB
ejpam-6372	71	2	us	we	PRON
ejpam-6372	71	3	take	take	VERB
ejpam-6372	71	4	x	x	PUNCT
ejpam-6372	71	5	is	be	AUX
ejpam-6372	71	6	a	a	DET
ejpam-6372	71	7	non	non	ADJ
ejpam-6372	71	8	-	-	ADJ
ejpam-6372	71	9	empty	empty	ADJ
ejpam-6372	71	10	set	set	NOUN
ejpam-6372	71	11	.	.	PUNCT
ejpam-6372	72	1	an	an	DET
ejpam-6372	72	2	ifs	ifs	PROPN
ejpam-6372	72	3	a	a	PRON
ejpam-6372	72	4	is	be	AUX
ejpam-6372	72	5	defined	define	VERB
ejpam-6372	72	6	in	in	ADP
ejpam-6372	72	7	x	x	SYM
ejpam-6372	72	8	is	be	AUX
ejpam-6372	72	9	a	a	DET
ejpam-6372	72	10	=	=	X
ejpam-6372	72	11	{	{	PUNCT
ejpam-6372	72	12	x	x	NOUN
ejpam-6372	72	13	,	,	PUNCT
ejpam-6372	72	14	µa(x	µa(x	NOUN
ejpam-6372	72	15	)	)	PUNCT
ejpam-6372	72	16	,	,	PUNCT
ejpam-6372	72	17	γa(x	γa(x	NUM
ejpam-6372	72	18	)	)	PUNCT
ejpam-6372	72	19	:	:	PUNCT
ejpam-6372	73	1	x	x	PUNCT
ejpam-6372	73	2	∈	∈	NOUN
ejpam-6372	73	3	x	x	X
ejpam-6372	73	4	}	}	PUNCT
ejpam-6372	73	5	,	,	PUNCT
ejpam-6372	73	6	where	where	SCONJ
ejpam-6372	73	7	µa	µa	ADV
ejpam-6372	73	8	:	:	PUNCT
ejpam-6372	73	9	x	x	X
ejpam-6372	73	10	→	→	SYM
ejpam-6372	73	11	[	[	X
ejpam-6372	73	12	0	0	NUM
ejpam-6372	73	13	,	,	PUNCT
ejpam-6372	73	14	1	1	NUM
ejpam-6372	73	15	]	]	PUNCT
ejpam-6372	73	16	and	and	CCONJ
ejpam-6372	73	17	γa	γa	PRON
ejpam-6372	73	18	:	:	PUNCT
ejpam-6372	73	19	x	x	X
ejpam-6372	73	20	→	→	PUNCT
ejpam-6372	73	21	[	[	X
ejpam-6372	73	22	0	0	NUM
ejpam-6372	73	23	,	,	PUNCT
ejpam-6372	73	24	1	1	NUM
ejpam-6372	73	25	]	]	PUNCT
ejpam-6372	73	26	represents	represent	VERB
ejpam-6372	73	27	the	the	DET
ejpam-6372	73	28	membership	membership	NOUN
ejpam-6372	73	29	and	and	CCONJ
ejpam-6372	73	30	non	non	ADJ
ejpam-6372	73	31	-	-	ADJ
ejpam-6372	73	32	membership	membership	ADJ
ejpam-6372	73	33	functions	function	NOUN
ejpam-6372	73	34	of	of	ADP
ejpam-6372	73	35	a	a	PRON
ejpam-6372	73	36	and	and	CCONJ
ejpam-6372	73	37	it	it	PRON
ejpam-6372	73	38	satisfies	satisfy	VERB
ejpam-6372	73	39	the	the	DET
ejpam-6372	73	40	condition	condition	NOUN
ejpam-6372	73	41	0	0	NUM
ejpam-6372	73	42	≤	≤	NOUN
ejpam-6372	73	43	µa(x)+	µa(x)+	ADP
ejpam-6372	73	44	γa(x	γa(x	NOUN
ejpam-6372	73	45	)	)	PUNCT
ejpam-6372	73	46	≤	≤	NUM
ejpam-6372	73	47	1,∀x	1,∀x	NUM
ejpam-6372	73	48	∈	∈	NOUN
ejpam-6372	73	49	x	x	PUNCT
ejpam-6372	73	50	with	with	ADP
ejpam-6372	73	51	the	the	DET
ejpam-6372	73	52	degree	degree	NOUN
ejpam-6372	73	53	of	of	ADP
ejpam-6372	73	54	indeterminacy	indeterminacy	NOUN
ejpam-6372	73	55	given	give	VERB
ejpam-6372	73	56	by	by	ADP
ejpam-6372	73	57	πa(x	πa(x	NOUN
ejpam-6372	73	58	)	)	PUNCT
ejpam-6372	73	59	=	=	SYM
ejpam-6372	73	60	1−	1−	NUM
ejpam-6372	73	61	µa(x)−	µa(x)−	NOUN
ejpam-6372	73	62	γa(x	γa(x	NUM
ejpam-6372	73	63	)	)	PUNCT
ejpam-6372	73	64	2.2	2.2	NUM
ejpam-6372	73	65	.	.	PUNCT
ejpam-6372	74	1	intuitionistic	intuitionistic	ADJ
ejpam-6372	74	2	fuzzy	fuzzy	ADJ
ejpam-6372	74	3	graph	graph	NOUN
ejpam-6372	74	4	intuitionistic	intuitionistic	ADJ
ejpam-6372	74	5	fuzzy	fuzzy	ADJ
ejpam-6372	74	6	relations	relation	NOUN
ejpam-6372	74	7	and	and	CCONJ
ejpam-6372	74	8	intuitionistic	intuitionistic	ADJ
ejpam-6372	74	9	fuzzy	fuzzy	ADJ
ejpam-6372	74	10	graphs	graph	NOUN
ejpam-6372	74	11	(	(	PUNCT
ejpam-6372	74	12	ifgs	ifg	VERB
ejpam-6372	74	13	)	)	PUNCT
ejpam-6372	74	14	were	be	AUX
ejpam-6372	74	15	first	first	ADV
ejpam-6372	74	16	introduced	introduce	VERB
ejpam-6372	74	17	by	by	ADP
ejpam-6372	74	18	atanassov	atanassov	PROPN
ejpam-6372	74	19	.	.	PUNCT
ejpam-6372	75	1	the	the	DET
ejpam-6372	75	2	field	field	NOUN
ejpam-6372	75	3	of	of	ADP
ejpam-6372	75	4	mathematics	mathematic	NOUN
ejpam-6372	75	5	and	and	CCONJ
ejpam-6372	75	6	its	its	PRON
ejpam-6372	75	7	applications	application	NOUN
ejpam-6372	75	8	has	have	AUX
ejpam-6372	75	9	seen	see	VERB
ejpam-6372	75	10	exponential	exponential	ADJ
ejpam-6372	75	11	growth	growth	NOUN
ejpam-6372	75	12	in	in	ADP
ejpam-6372	75	13	research	research	NOUN
ejpam-6372	75	14	on	on	ADP
ejpam-6372	75	15	the	the	DET
ejpam-6372	75	16	theory	theory	NOUN
ejpam-6372	75	17	of	of	ADP
ejpam-6372	75	18	intuitionistic	intuitionistic	ADJ
ejpam-6372	75	19	fuzzy	fuzzy	ADJ
ejpam-6372	75	20	sets	set	NOUN
ejpam-6372	75	21	(	(	PUNCT
ejpam-6372	75	22	ifss	ifss	NOUN
ejpam-6372	75	23	)	)	PUNCT
ejpam-6372	75	24	.	.	PUNCT
ejpam-6372	76	1	this	this	PRON
ejpam-6372	76	2	includes	include	VERB
ejpam-6372	76	3	developments	development	NOUN
ejpam-6372	76	4	in	in	ADP
ejpam-6372	76	5	information	information	NOUN
ejpam-6372	76	6	sciences	science	NOUN
ejpam-6372	76	7	as	as	ADV
ejpam-6372	76	8	well	well	ADV
ejpam-6372	76	9	as	as	ADP
ejpam-6372	76	10	conventional	conventional	ADJ
ejpam-6372	76	11	mathematics	mathematic	NOUN
ejpam-6372	76	12	.	.	PUNCT
ejpam-6372	77	1	definition	definition	NOUN
ejpam-6372	77	2	2	2	NUM
ejpam-6372	77	3	(	(	PUNCT
ejpam-6372	77	4	[	[	X
ejpam-6372	77	5	35	35	NUM
ejpam-6372	77	6	]	]	NUM
ejpam-6372	77	7	)	)	PUNCT
ejpam-6372	77	8	.	.	PUNCT
ejpam-6372	78	1	an	an	DET
ejpam-6372	78	2	ifg	ifg	NOUN
ejpam-6372	78	3	is	be	AUX
ejpam-6372	78	4	well	well	ADV
ejpam-6372	78	5	-	-	PUNCT
ejpam-6372	78	6	defined	define	VERB
ejpam-6372	78	7	as	as	ADP
ejpam-6372	78	8	g	g	PROPN
ejpam-6372	78	9	=	=	SYM
ejpam-6372	78	10	(	(	PUNCT
ejpam-6372	78	11	v	v	NOUN
ejpam-6372	78	12	,	,	PUNCT
ejpam-6372	78	13	e	e	NOUN
ejpam-6372	78	14	,	,	PUNCT
ejpam-6372	78	15	µ	µ	NOUN
ejpam-6372	78	16	,	,	PUNCT
ejpam-6372	78	17	γ),where	γ),where	NOUN
ejpam-6372	78	18	v	v	NOUN
ejpam-6372	78	19	denotes	denote	VERB
ejpam-6372	78	20	the	the	DET
ejpam-6372	78	21	set	set	NOUN
ejpam-6372	78	22	of	of	ADP
ejpam-6372	78	23	vertices	vertex	NOUN
ejpam-6372	78	24	,	,	PUNCT
ejpam-6372	78	25	e	e	PRON
ejpam-6372	78	26	represents	represent	VERB
ejpam-6372	78	27	the	the	DET
ejpam-6372	78	28	set	set	NOUN
ejpam-6372	78	29	of	of	ADP
ejpam-6372	78	30	edges	edge	NOUN
ejpam-6372	78	31	,	,	PUNCT
ejpam-6372	78	32	µ	µ	X
ejpam-6372	78	33	is	be	AUX
ejpam-6372	78	34	a	a	DET
ejpam-6372	78	35	fuzzy	fuzzy	ADJ
ejpam-6372	78	36	relationship	relationship	NOUN
ejpam-6372	78	37	function	function	NOUN
ejpam-6372	78	38	demarcated	demarcate	VERB
ejpam-6372	78	39	on	on	ADP
ejpam-6372	78	40	v	v	PRON
ejpam-6372	78	41	×v	×v	NOUN
ejpam-6372	78	42	,	,	PUNCT
ejpam-6372	78	43	and	and	CCONJ
ejpam-6372	78	44	γ	γ	X
ejpam-6372	78	45	is	be	AUX
ejpam-6372	78	46	a	a	DET
ejpam-6372	78	47	fuzzy	fuzzy	ADJ
ejpam-6372	78	48	non	non	ADJ
ejpam-6372	78	49	-	-	ADJ
ejpam-6372	78	50	relationship	relationship	ADJ
ejpam-6372	78	51	function	function	NOUN
ejpam-6372	78	52	expressed	express	VERB
ejpam-6372	78	53	as	as	ADP
ejpam-6372	78	54	µ(vi	µ(vi	NOUN
ejpam-6372	78	55	,	,	PUNCT
ejpam-6372	78	56	vj	vj	NOUN
ejpam-6372	78	57	)	)	PUNCT
ejpam-6372	78	58	by	by	ADP
ejpam-6372	78	59	µij	µij	ADV
ejpam-6372	78	60	and	and	CCONJ
ejpam-6372	78	61	γ(vi	γ(vi	NOUN
ejpam-6372	78	62	,	,	PUNCT
ejpam-6372	78	63	vj	vj	NOUN
ejpam-6372	78	64	)	)	PUNCT
ejpam-6372	78	65	by	by	ADP
ejpam-6372	78	66	γij	γij	NOUN
ejpam-6372	78	67	,	,	PUNCT
ejpam-6372	78	68	such	such	ADJ
ejpam-6372	78	69	that	that	SCONJ
ejpam-6372	78	70	(	(	PUNCT
ejpam-6372	78	71	i	i	NOUN
ejpam-6372	78	72	)	)	PUNCT
ejpam-6372	78	73	0	0	NUM
ejpam-6372	78	74	≤	≤	NUM
ejpam-6372	78	75	µij	µij	INTJ
ejpam-6372	78	76	+	+	X
ejpam-6372	78	77	γij	γij	NOUN
ejpam-6372	78	78	≤	≤	ADJ
ejpam-6372	78	79	1	1	NUM
ejpam-6372	78	80	,	,	PUNCT
ejpam-6372	78	81	(	(	PUNCT
ejpam-6372	78	82	i	i	PROPN
ejpam-6372	78	83	,	,	PUNCT
ejpam-6372	78	84	j	j	PROPN
ejpam-6372	78	85	=	=	SYM
ejpam-6372	78	86	1	1	NUM
ejpam-6372	78	87	,	,	PUNCT
ejpam-6372	78	88	2	2	NUM
ejpam-6372	78	89	,	,	PUNCT
ejpam-6372	78	90	3	3	NUM
ejpam-6372	78	91	,	,	PUNCT
ejpam-6372	78	92	.	.	PUNCT
ejpam-6372	78	93	.	.	PUNCT
ejpam-6372	79	1	.	.	PUNCT
ejpam-6372	80	1	,	,	PUNCT
ejpam-6372	80	2	n	n	CCONJ
ejpam-6372	80	3	)	)	PUNCT
ejpam-6372	80	4	obbu	obbu	PROPN
ejpam-6372	80	5	ramesh	ramesh	PROPN
ejpam-6372	80	6	et.al	et.al	PROPN
ejpam-6372	80	7	/	/	SYM
ejpam-6372	80	8	eur	eur	PROPN
ejpam-6372	80	9	.	.	PUNCT
ejpam-6372	81	1	j.	j.	PROPN
ejpam-6372	81	2	pure	pure	PROPN
ejpam-6372	81	3	appl	appl	PROPN
ejpam-6372	81	4	.	.	PROPN
ejpam-6372	81	5	math	math	PROPN
ejpam-6372	81	6	,	,	PUNCT
ejpam-6372	81	7	18	18	NUM
ejpam-6372	81	8	(	(	PUNCT
ejpam-6372	81	9	3	3	NUM
ejpam-6372	81	10	)	)	PUNCT
ejpam-6372	81	11	(	(	PUNCT
ejpam-6372	81	12	2025	2025	NUM
ejpam-6372	81	13	)	)	PUNCT
ejpam-6372	81	14	,	,	PUNCT
ejpam-6372	81	15	6372	6372	NUM
ejpam-6372	81	16	5	5	NUM
ejpam-6372	81	17	of	of	ADP
ejpam-6372	81	18	17	17	NUM
ejpam-6372	81	19	(	(	PUNCT
ejpam-6372	81	20	ii	ii	NOUN
ejpam-6372	81	21	)	)	PUNCT
ejpam-6372	81	22	0	0	NUM
ejpam-6372	82	1	≤	≤	NUM
ejpam-6372	83	1	µij	µij	ADV
ejpam-6372	83	2	,	,	PUNCT
ejpam-6372	83	3	γij	γij	INTJ
ejpam-6372	83	4	,	,	PUNCT
ejpam-6372	83	5	πij	πij	PROPN
ejpam-6372	83	6	≤	≤	PROPN
ejpam-6372	83	7	1	1	NUM
ejpam-6372	83	8	,	,	PUNCT
ejpam-6372	83	9	here	here	ADV
ejpam-6372	83	10	πij	πij	PROPN
ejpam-6372	83	11	=	=	PROPN
ejpam-6372	83	12	1−	1−	NUM
ejpam-6372	83	13	µij	µij	INTJ
ejpam-6372	83	14	−	−	PROPN
ejpam-6372	83	15	γij	γij	NOUN
ejpam-6372	83	16	,	,	PUNCT
ejpam-6372	83	17	(	(	PUNCT
ejpam-6372	83	18	i	i	PRON
ejpam-6372	83	19	,	,	PUNCT
ejpam-6372	83	20	j	j	PROPN
ejpam-6372	83	21	=	=	SYM
ejpam-6372	83	22	1	1	NUM
ejpam-6372	83	23	,	,	PUNCT
ejpam-6372	83	24	2	2	NUM
ejpam-6372	83	25	,	,	PUNCT
ejpam-6372	83	26	3	3	NUM
ejpam-6372	83	27	,	,	PUNCT
ejpam-6372	83	28	.	.	PUNCT
ejpam-6372	83	29	.	.	PUNCT
ejpam-6372	83	30	.	.	PUNCT
ejpam-6372	83	31	,	,	PUNCT
ejpam-6372	83	32	n	n	CCONJ
ejpam-6372	83	33	)	)	PUNCT
ejpam-6372	83	34	2.3	2.3	NUM
ejpam-6372	83	35	.	.	PUNCT
ejpam-6372	84	1	pythagorean	pythagorean	PROPN
ejpam-6372	84	2	fuzzy	fuzzy	ADJ
ejpam-6372	84	3	set	set	VERB
ejpam-6372	84	4	definition	definition	NOUN
ejpam-6372	84	5	3	3	NUM
ejpam-6372	84	6	(	(	PUNCT
ejpam-6372	84	7	[	[	X
ejpam-6372	84	8	36	36	NUM
ejpam-6372	84	9	]	]	NUM
ejpam-6372	84	10	)	)	PUNCT
ejpam-6372	84	11	.	.	PUNCT
ejpam-6372	85	1	a	a	DET
ejpam-6372	85	2	definition	definition	NOUN
ejpam-6372	85	3	of	of	ADP
ejpam-6372	85	4	the	the	DET
ejpam-6372	85	5	pythagorean	pythagorean	PROPN
ejpam-6372	85	6	fuzzy	fuzzy	NOUN
ejpam-6372	85	7	set	set	VERB
ejpam-6372	85	8	r	r	NOUN
ejpam-6372	85	9	in	in	ADP
ejpam-6372	85	10	a	a	DET
ejpam-6372	85	11	finite	finite	ADJ
ejpam-6372	85	12	discourse	discourse	NOUN
ejpam-6372	85	13	universe	universe	NOUN
ejpam-6372	85	14	s	s	PART
ejpam-6372	85	15	=	=	PUNCT
ejpam-6372	85	16	(	(	PUNCT
ejpam-6372	85	17	s1	s1	PROPN
ejpam-6372	85	18	,	,	PUNCT
ejpam-6372	85	19	s2	s2	NOUN
ejpam-6372	85	20	,	,	PUNCT
ejpam-6372	85	21	.	.	PUNCT
ejpam-6372	85	22	.	.	PUNCT
ejpam-6372	86	1	.	.	PUNCT
ejpam-6372	87	1	,	,	PUNCT
ejpam-6372	87	2	sn	sn	PROPN
ejpam-6372	87	3	)	)	PUNCT
ejpam-6372	87	4	is	be	AUX
ejpam-6372	87	5	given	give	VERB
ejpam-6372	87	6	by	by	ADP
ejpam-6372	87	7	r	r	NOUN
ejpam-6372	87	8	=	=	SYM
ejpam-6372	87	9	(	(	PUNCT
ejpam-6372	87	10	x	x	X
ejpam-6372	87	11	,	,	PUNCT
ejpam-6372	87	12	µr(s	µr(s	ADJ
ejpam-6372	87	13	)	)	PUNCT
ejpam-6372	87	14	,	,	PUNCT
ejpam-6372	88	1	γr(s)/s	γr(s)/s	PROPN
ejpam-6372	88	2	∈	∈	PROPN
ejpam-6372	88	3	s	s	PART
ejpam-6372	88	4	)	)	PUNCT
ejpam-6372	88	5	,	,	PUNCT
ejpam-6372	88	6	where	where	SCONJ
ejpam-6372	88	7	µr(s	µr(s	PUNCT
ejpam-6372	88	8	)	)	PUNCT
ejpam-6372	88	9	:	:	PUNCT
ejpam-6372	88	10	s	s	X
ejpam-6372	88	11	→	→	SYM
ejpam-6372	88	12	[	[	X
ejpam-6372	88	13	0	0	NUM
ejpam-6372	88	14	,	,	PUNCT
ejpam-6372	88	15	1	1	NUM
ejpam-6372	88	16	]	]	PUNCT
ejpam-6372	88	17	and	and	CCONJ
ejpam-6372	88	18	γr(s	γr(s	NUM
ejpam-6372	88	19	)	)	PUNCT
ejpam-6372	88	20	:	:	PUNCT
ejpam-6372	88	21	→	→	PUNCT
ejpam-6372	89	1	[	[	X
ejpam-6372	89	2	0	0	NUM
ejpam-6372	89	3	,	,	PUNCT
ejpam-6372	89	4	1	1	NUM
ejpam-6372	89	5	]	]	PUNCT
ejpam-6372	89	6	and	and	CCONJ
ejpam-6372	89	7	0	0	NUM
ejpam-6372	89	8	≤	≤	NOUN
ejpam-6372	89	9	µ2	µ2	PROPN
ejpam-6372	89	10	r(s	r(s	PROPN
ejpam-6372	89	11	)	)	PUNCT
ejpam-6372	89	12	+	+	SYM
ejpam-6372	89	13	γ2r(s	γ2r(s	NOUN
ejpam-6372	89	14	)	)	PUNCT
ejpam-6372	89	15	≤	≤	NOUN
ejpam-6372	89	16	1	1	NUM
ejpam-6372	89	17	,	,	PUNCT
ejpam-6372	89	18	∀s	∀s	PROPN
ejpam-6372	89	19	∈	∈	PROPN
ejpam-6372	89	20	s	s	PROPN
ejpam-6372	89	21	,	,	PUNCT
ejpam-6372	89	22	where	where	SCONJ
ejpam-6372	89	23	the	the	DET
ejpam-6372	89	24	numbers	number	NOUN
ejpam-6372	89	25	µr(s	µr(s	PUNCT
ejpam-6372	89	26	)	)	PUNCT
ejpam-6372	89	27	and	and	CCONJ
ejpam-6372	89	28	γr(s	γr(s	PUNCT
ejpam-6372	89	29	)	)	PUNCT
ejpam-6372	89	30	represent	represent	VERB
ejpam-6372	89	31	the	the	DET
ejpam-6372	89	32	ranking	ranking	NOUN
ejpam-6372	89	33	of	of	ADP
ejpam-6372	89	34	membership	membership	NOUN
ejpam-6372	89	35	and	and	CCONJ
ejpam-6372	89	36	the	the	DET
ejpam-6372	89	37	ranking	ranking	NOUN
ejpam-6372	89	38	of	of	ADP
ejpam-6372	89	39	non	non	ADJ
ejpam-6372	89	40	-	-	NOUN
ejpam-6372	89	41	membership	membership	NOUN
ejpam-6372	89	42	,	,	PUNCT
ejpam-6372	89	43	respectively	respectively	ADV
ejpam-6372	89	44	,	,	PUNCT
ejpam-6372	89	45	of	of	ADP
ejpam-6372	89	46	s	s	X
ejpam-6372	89	47	∈	∈	NOUN
ejpam-6372	89	48	s	s	NUM
ejpam-6372	89	49	in	in	ADP
ejpam-6372	89	50	r.	r.	PROPN
ejpam-6372	89	51	additionally	additionally	ADV
ejpam-6372	89	52	,	,	PUNCT
ejpam-6372	89	53	the	the	DET
ejpam-6372	89	54	hesitation	hesitation	NOUN
ejpam-6372	89	55	degree	degree	NOUN
ejpam-6372	89	56	,	,	PUNCT
ejpam-6372	89	57	also	also	ADV
ejpam-6372	89	58	known	know	VERB
ejpam-6372	89	59	as	as	ADP
ejpam-6372	89	60	the	the	DET
ejpam-6372	89	61	pythagorean	pythagorean	PROPN
ejpam-6372	89	62	index	index	NOUN
ejpam-6372	89	63	,	,	PUNCT
ejpam-6372	89	64	can	can	AUX
ejpam-6372	89	65	be	be	AUX
ejpam-6372	89	66	defined	define	VERB
ejpam-6372	89	67	as	as	ADP
ejpam-6372	89	68	for	for	ADP
ejpam-6372	89	69	each	each	DET
ejpam-6372	89	70	pythagorean	pythagorean	PROPN
ejpam-6372	89	71	fuzzy	fuzzy	ADJ
ejpam-6372	89	72	set	set	VERB
ejpam-6372	89	73	r	r	NOUN
ejpam-6372	89	74	in	in	ADP
ejpam-6372	89	75	s	s	NOUN
ejpam-6372	89	76	ηr(s	ηr(s	NOUN
ejpam-6372	89	77	)	)	PUNCT
ejpam-6372	89	78	=	=	SYM
ejpam-6372	90	1	√	√	NUM
ejpam-6372	90	2	(	(	PUNCT
ejpam-6372	90	3	1−	1−	NUM
ejpam-6372	90	4	µ2	µ2	PROPN
ejpam-6372	90	5	r(s)−	r(s)−	PROPN
ejpam-6372	90	6	γ2r(s	γ2r(s	PROPN
ejpam-6372	90	7	)	)	PUNCT
ejpam-6372	90	8	)	)	PUNCT
ejpam-6372	90	9	definition	definition	NOUN
ejpam-6372	90	10	4	4	NUM
ejpam-6372	90	11	(	(	PUNCT
ejpam-6372	90	12	[	[	X
ejpam-6372	90	13	20	20	NUM
ejpam-6372	90	14	]	]	NUM
ejpam-6372	90	15	)	)	PUNCT
ejpam-6372	90	16	.	.	PUNCT
ejpam-6372	91	1	a	a	DET
ejpam-6372	91	2	pfg	pfg	NOUN
ejpam-6372	91	3	on	on	ADP
ejpam-6372	91	4	a	a	DET
ejpam-6372	91	5	non	non	ADJ
ejpam-6372	91	6	-	-	ADJ
ejpam-6372	91	7	empty	empty	ADJ
ejpam-6372	91	8	set	set	NOUN
ejpam-6372	91	9	x	x	PUNCT
ejpam-6372	91	10	is	be	AUX
ejpam-6372	91	11	a	a	DET
ejpam-6372	91	12	pair	pair	NOUN
ejpam-6372	91	13	g=	g=	NOUN
ejpam-6372	91	14	(	(	PUNCT
ejpam-6372	91	15	p	p	X
ejpam-6372	91	16	,	,	PUNCT
ejpam-6372	91	17	q	q	NOUN
ejpam-6372	91	18	)	)	PUNCT
ejpam-6372	91	19	,	,	PUNCT
ejpam-6372	91	20	where	where	SCONJ
ejpam-6372	91	21	p	p	NOUN
ejpam-6372	91	22	is	be	AUX
ejpam-6372	91	23	a	a	DET
ejpam-6372	91	24	pfs	pfs	PROPN
ejpam-6372	91	25	on	on	ADP
ejpam-6372	91	26	x	x	PUNCT
ejpam-6372	91	27	and	and	CCONJ
ejpam-6372	91	28	q	q	PROPN
ejpam-6372	91	29	is	be	AUX
ejpam-6372	91	30	a	a	DET
ejpam-6372	91	31	pfr	pfr	NOUN
ejpam-6372	91	32	on	on	ADP
ejpam-6372	91	33	x	x	SYM
ejpam-6372	91	34	such	such	ADJ
ejpam-6372	91	35	that	that	SCONJ
ejpam-6372	91	36	µr(u	µr(u	NOUN
ejpam-6372	91	37	,	,	PUNCT
ejpam-6372	91	38	v	v	NOUN
ejpam-6372	91	39	)	)	PUNCT
ejpam-6372	91	40	≤	≤	PROPN
ejpam-6372	91	41	min(µr(u	min(µr(u	PROPN
ejpam-6372	91	42	)	)	PUNCT
ejpam-6372	91	43	,	,	PUNCT
ejpam-6372	91	44	µr(v	µr(v	PUNCT
ejpam-6372	91	45	)	)	PUNCT
ejpam-6372	91	46	)	)	PUNCT
ejpam-6372	91	47	and	and	CCONJ
ejpam-6372	91	48	γr(u	γr(u	NOUN
ejpam-6372	91	49	,	,	PUNCT
ejpam-6372	91	50	v	v	NOUN
ejpam-6372	91	51	)	)	PUNCT
ejpam-6372	91	52	≤	≤	NOUN
ejpam-6372	91	53	max(γr(u	max(γr(u	PROPN
ejpam-6372	91	54	)	)	PUNCT
ejpam-6372	91	55	,	,	PUNCT
ejpam-6372	91	56	γr(v	γr(v	PUNCT
ejpam-6372	91	57	)	)	PUNCT
ejpam-6372	91	58	)	)	PUNCT
ejpam-6372	91	59	,	,	PUNCT
ejpam-6372	91	60	and	and	CCONJ
ejpam-6372	91	61	0	0	NUM
ejpam-6372	91	62	≤	≤	NUM
ejpam-6372	91	63	µ2	µ2	PROPN
ejpam-6372	91	64	r(u	r(u	PROPN
ejpam-6372	91	65	,	,	PUNCT
ejpam-6372	91	66	v	v	NOUN
ejpam-6372	91	67	)	)	PUNCT
ejpam-6372	92	1	+	+	CCONJ
ejpam-6372	92	2	γ2r(u	γ2r(u	PROPN
ejpam-6372	92	3	,	,	PUNCT
ejpam-6372	92	4	v	v	NOUN
ejpam-6372	92	5	)	)	PUNCT
ejpam-6372	92	6	≤	≤	NUM
ejpam-6372	92	7	1	1	NUM
ejpam-6372	92	8	,	,	PUNCT
ejpam-6372	92	9	∀(u	∀(u	NUM
ejpam-6372	92	10	,	,	PUNCT
ejpam-6372	92	11	v	v	NOUN
ejpam-6372	92	12	)	)	PUNCT
ejpam-6372	92	13	∈	∈	PROPN
ejpam-6372	92	14	x.	x.	NOUN
ejpam-6372	93	1	a	a	DET
ejpam-6372	93	2	pythagorean	pythagorean	ADJ
ejpam-6372	93	3	fuzzy	fuzzy	ADJ
ejpam-6372	93	4	graph	graph	NOUN
ejpam-6372	93	5	(	(	PUNCT
ejpam-6372	93	6	pfg	pfg	NOUN
ejpam-6372	93	7	)	)	PUNCT
ejpam-6372	93	8	specifies	specify	VERB
ejpam-6372	93	9	the	the	DET
ejpam-6372	93	10	degree	degree	NOUN
ejpam-6372	93	11	of	of	ADP
ejpam-6372	93	12	membership	membership	NOUN
ejpam-6372	93	13	of	of	ADP
ejpam-6372	93	14	an	an	DET
ejpam-6372	93	15	element	element	NOUN
ejpam-6372	93	16	in	in	ADP
ejpam-6372	93	17	a	a	DET
ejpam-6372	93	18	given	give	VERB
ejpam-6372	93	19	set	set	NOUN
ejpam-6372	93	20	,	,	PUNCT
ejpam-6372	93	21	where	where	SCONJ
ejpam-6372	93	22	the	the	DET
ejpam-6372	93	23	degree	degree	NOUN
ejpam-6372	93	24	of	of	ADP
ejpam-6372	93	25	non	non	ADJ
ejpam-6372	93	26	-	-	ADJ
ejpam-6372	93	27	membership	membership	NOUN
ejpam-6372	93	28	is	be	AUX
ejpam-6372	93	29	simply	simply	ADV
ejpam-6372	93	30	one	one	NUM
ejpam-6372	93	31	minus	minus	ADP
ejpam-6372	93	32	the	the	DET
ejpam-6372	93	33	degree	degree	NOUN
ejpam-6372	93	34	of	of	ADP
ejpam-6372	93	35	membership	membership	NOUN
ejpam-6372	93	36	.	.	PUNCT
ejpam-6372	94	1	by	by	ADP
ejpam-6372	94	2	contrast	contrast	NOUN
ejpam-6372	94	3	,	,	PUNCT
ejpam-6372	94	4	an	an	DET
ejpam-6372	94	5	intuitionistic	intuitionistic	ADJ
ejpam-6372	94	6	pythagorean	pythagorean	ADJ
ejpam-6372	94	7	fuzzy	fuzzy	ADJ
ejpam-6372	94	8	graph	graph	NOUN
ejpam-6372	94	9	(	(	PUNCT
ejpam-6372	94	10	ipfg	ipfg	ADJ
ejpam-6372	94	11	)	)	PUNCT
ejpam-6372	94	12	allows	allow	VERB
ejpam-6372	94	13	for	for	ADP
ejpam-6372	94	14	both	both	CCONJ
ejpam-6372	94	15	a	a	DET
ejpam-6372	94	16	degree	degree	NOUN
ejpam-6372	94	17	of	of	ADP
ejpam-6372	94	18	membership	membership	NOUN
ejpam-6372	94	19	and	and	CCONJ
ejpam-6372	94	20	a	a	DET
ejpam-6372	94	21	degree	degree	NOUN
ejpam-6372	94	22	of	of	ADP
ejpam-6372	94	23	non	non	ADJ
ejpam-6372	94	24	-	-	NOUN
ejpam-6372	94	25	membership	membership	NOUN
ejpam-6372	94	26	,	,	PUNCT
ejpam-6372	94	27	which	which	PRON
ejpam-6372	94	28	are	be	AUX
ejpam-6372	94	29	largely	largely	ADV
ejpam-6372	94	30	independent	independent	ADJ
ejpam-6372	94	31	;	;	PUNCT
ejpam-6372	94	32	the	the	DET
ejpam-6372	94	33	only	only	ADJ
ejpam-6372	94	34	condition	condition	NOUN
ejpam-6372	94	35	is	be	AUX
ejpam-6372	94	36	that	that	SCONJ
ejpam-6372	94	37	their	their	PRON
ejpam-6372	94	38	sum	sum	NOUN
ejpam-6372	94	39	does	do	AUX
ejpam-6372	94	40	not	not	PART
ejpam-6372	94	41	exceed	exceed	VERB
ejpam-6372	94	42	one	one	NUM
ejpam-6372	94	43	.	.	PUNCT
ejpam-6372	95	1	pythagorean	pythagorean	PROPN
ejpam-6372	95	2	fuzzy	fuzzy	ADJ
ejpam-6372	95	3	graphs	graph	NOUN
ejpam-6372	95	4	,	,	PUNCT
ejpam-6372	95	5	as	as	ADP
ejpam-6372	95	6	a	a	DET
ejpam-6372	95	7	new	new	ADJ
ejpam-6372	95	8	extension	extension	NOUN
ejpam-6372	95	9	of	of	ADP
ejpam-6372	95	10	euler	euler	PROPN
ejpam-6372	95	11	’s	’s	PART
ejpam-6372	95	12	graph	graph	NOUN
ejpam-6372	95	13	theory	theory	NOUN
ejpam-6372	95	14	,	,	PUNCT
ejpam-6372	95	15	offer	offer	VERB
ejpam-6372	95	16	an	an	DET
ejpam-6372	95	17	improved	improved	ADJ
ejpam-6372	95	18	way	way	NOUN
ejpam-6372	95	19	to	to	PART
ejpam-6372	95	20	represent	represent	VERB
ejpam-6372	95	21	complex	complex	ADJ
ejpam-6372	95	22	graphical	graphical	ADJ
ejpam-6372	95	23	problems	problem	NOUN
ejpam-6372	95	24	.	.	PUNCT
ejpam-6372	96	1	unlike	unlike	ADP
ejpam-6372	96	2	intuitionistic	intuitionistic	ADJ
ejpam-6372	96	3	pythagorean	pythagorean	ADJ
ejpam-6372	96	4	fuzzy	fuzzy	ADJ
ejpam-6372	96	5	graphs	graph	NOUN
ejpam-6372	96	6	,	,	PUNCT
ejpam-6372	96	7	which	which	PRON
ejpam-6372	96	8	require	require	VERB
ejpam-6372	96	9	that	that	SCONJ
ejpam-6372	96	10	the	the	DET
ejpam-6372	96	11	sum	sum	NOUN
ejpam-6372	96	12	of	of	ADP
ejpam-6372	96	13	the	the	DET
ejpam-6372	96	14	membership	membership	NOUN
ejpam-6372	96	15	and	and	CCONJ
ejpam-6372	96	16	non	non	ADJ
ejpam-6372	96	17	-	-	ADJ
ejpam-6372	96	18	membership	membership	ADJ
ejpam-6372	96	19	degrees	degree	NOUN
ejpam-6372	96	20	for	for	ADP
ejpam-6372	96	21	any	any	DET
ejpam-6372	96	22	edge	edge	NOUN
ejpam-6372	96	23	or	or	CCONJ
ejpam-6372	96	24	vertex	vertex	NOUN
ejpam-6372	96	25	does	do	AUX
ejpam-6372	96	26	not	not	PART
ejpam-6372	96	27	exceed	exceed	VERB
ejpam-6372	96	28	one	one	NUM
ejpam-6372	96	29	,	,	PUNCT
ejpam-6372	96	30	this	this	DET
ejpam-6372	96	31	approach	approach	NOUN
ejpam-6372	96	32	provides	provide	VERB
ejpam-6372	96	33	additional	additional	ADJ
ejpam-6372	96	34	advantages	advantage	NOUN
ejpam-6372	96	35	.	.	PUNCT
ejpam-6372	97	1	[	[	X
ejpam-6372	97	2	37	37	NUM
ejpam-6372	97	3	]	]	X
ejpam-6372	97	4	r.	r.	PROPN
ejpam-6372	97	5	r.	r.	PROPN
ejpam-6372	97	6	yager	yager	PROPN
ejpam-6372	97	7	provided	provide	VERB
ejpam-6372	97	8	a	a	DET
ejpam-6372	97	9	comparison	comparison	NOUN
ejpam-6372	97	10	between	between	ADP
ejpam-6372	97	11	the	the	DET
ejpam-6372	97	12	fuzzy	fuzzy	ADJ
ejpam-6372	97	13	set	set	NOUN
ejpam-6372	97	14	and	and	CCONJ
ejpam-6372	97	15	the	the	DET
ejpam-6372	97	16	intuitionistic	intuitionistic	ADJ
ejpam-6372	97	17	fuzzy	fuzzy	NOUN
ejpam-6372	97	18	set	set	VERB
ejpam-6372	97	19	through	through	ADP
ejpam-6372	97	20	figure	figure	NOUN
ejpam-6372	97	21	1	1	NUM
ejpam-6372	97	22	.	.	PUNCT
ejpam-6372	97	23	figure	figure	NOUN
ejpam-6372	97	24	1	1	NUM
ejpam-6372	97	25	:	:	PUNCT
ejpam-6372	97	26	comparison	comparison	NOUN
ejpam-6372	97	27	between	between	ADP
ejpam-6372	97	28	ifs	ifs	PROPN
ejpam-6372	97	29	and	and	CCONJ
ejpam-6372	97	30	pfs	pfs	PROPN
ejpam-6372	97	31	obbu	obbu	PROPN
ejpam-6372	97	32	ramesh	ramesh	PROPN
ejpam-6372	97	33	et.al	et.al	PROPN
ejpam-6372	97	34	/	/	SYM
ejpam-6372	97	35	eur	eur	PROPN
ejpam-6372	97	36	.	.	PUNCT
ejpam-6372	98	1	j.	j.	PROPN
ejpam-6372	98	2	pure	pure	PROPN
ejpam-6372	98	3	appl	appl	PROPN
ejpam-6372	98	4	.	.	PROPN
ejpam-6372	98	5	math	math	PROPN
ejpam-6372	98	6	,	,	PUNCT
ejpam-6372	98	7	18	18	NUM
ejpam-6372	98	8	(	(	PUNCT
ejpam-6372	98	9	3	3	NUM
ejpam-6372	98	10	)	)	PUNCT
ejpam-6372	98	11	(	(	PUNCT
ejpam-6372	98	12	2025	2025	NUM
ejpam-6372	98	13	)	)	PUNCT
ejpam-6372	98	14	,	,	PUNCT
ejpam-6372	98	15	6372	6372	NUM
ejpam-6372	98	16	6	6	NUM
ejpam-6372	98	17	of	of	ADP
ejpam-6372	98	18	17	17	NUM
ejpam-6372	98	19	3	3	NUM
ejpam-6372	98	20	.	.	PUNCT
ejpam-6372	99	1	planarity	planarity	NOUN
ejpam-6372	99	2	of	of	ADP
ejpam-6372	99	3	intuitionistic	intuitionistic	ADJ
ejpam-6372	99	4	pythagorean	pythagorean	ADJ
ejpam-6372	99	5	fuzzy	fuzzy	ADJ
ejpam-6372	99	6	graphs	graph	NOUN
ejpam-6372	99	7	in	in	ADP
ejpam-6372	99	8	this	this	DET
ejpam-6372	99	9	segment	segment	NOUN
ejpam-6372	99	10	,	,	PUNCT
ejpam-6372	99	11	the	the	DET
ejpam-6372	99	12	concept	concept	NOUN
ejpam-6372	99	13	of	of	ADP
ejpam-6372	99	14	planarity	planarity	NOUN
ejpam-6372	99	15	of	of	ADP
ejpam-6372	99	16	intuitionistic	intuitionistic	ADJ
ejpam-6372	99	17	pythagorean	pythagorean	ADJ
ejpam-6372	99	18	fuzzy	fuzzy	ADJ
ejpam-6372	99	19	diagrams	diagram	NOUN
ejpam-6372	99	20	is	be	AUX
ejpam-6372	99	21	outlined	outline	VERB
ejpam-6372	99	22	,	,	PUNCT
ejpam-6372	99	23	based	base	VERB
ejpam-6372	99	24	on	on	ADP
ejpam-6372	99	25	several	several	ADJ
ejpam-6372	99	26	crucial	crucial	ADJ
ejpam-6372	99	27	interrelated	interrelated	ADJ
ejpam-6372	99	28	classifications	classification	NOUN
ejpam-6372	99	29	such	such	ADJ
ejpam-6372	99	30	as	as	ADP
ejpam-6372	99	31	crossing	crossing	NOUN
ejpam-6372	99	32	rate	rate	NOUN
ejpam-6372	99	33	and	and	CCONJ
ejpam-6372	99	34	pythagorean	pythagorean	ADJ
ejpam-6372	99	35	fuzzy	fuzzy	ADJ
ejpam-6372	99	36	planarity	planarity	NOUN
ejpam-6372	99	37	rate	rate	NOUN
ejpam-6372	99	38	.	.	PUNCT
ejpam-6372	100	1	let	let	VERB
ejpam-6372	100	2	g	g	PROPN
ejpam-6372	100	3	=	=	SYM
ejpam-6372	100	4	(	(	PUNCT
ejpam-6372	100	5	m	m	PROPN
ejpam-6372	100	6	,	,	PUNCT
ejpam-6372	100	7	n	n	CCONJ
ejpam-6372	100	8	)	)	PUNCT
ejpam-6372	100	9	be	be	AUX
ejpam-6372	100	10	an	an	DET
ejpam-6372	100	11	intuitionistic	intuitionistic	ADJ
ejpam-6372	100	12	pythagorean	pythagorean	ADJ
ejpam-6372	100	13	fuzzy	fuzzy	ADJ
ejpam-6372	100	14	graph	graph	NOUN
ejpam-6372	100	15	and	and	CCONJ
ejpam-6372	100	16	for	for	ADP
ejpam-6372	100	17	an	an	DET
ejpam-6372	100	18	assured	assure	VERB
ejpam-6372	100	19	geometric	geometric	ADJ
ejpam-6372	100	20	representation	representation	NOUN
ejpam-6372	100	21	and	and	CCONJ
ejpam-6372	100	22	it	it	PRON
ejpam-6372	100	23	takes	take	VERB
ejpam-6372	100	24	dual	dual	ADJ
ejpam-6372	100	25	edges((rs	edges((rs	NOUN
ejpam-6372	100	26	)	)	PUNCT
ejpam-6372	100	27	,	,	PUNCT
ejpam-6372	100	28	µn	µn	PROPN
ejpam-6372	100	29	(	(	PUNCT
ejpam-6372	100	30	(	(	PUNCT
ejpam-6372	100	31	rs))i	rs))i	PROPN
ejpam-6372	100	32	,	,	PUNCT
ejpam-6372	100	33	γn	γn	X
ejpam-6372	100	34	(	(	PUNCT
ejpam-6372	100	35	(	(	PUNCT
ejpam-6372	100	36	rs))i	rs))i	NOUN
ejpam-6372	100	37	)	)	PUNCT
ejpam-6372	100	38	and	and	CCONJ
ejpam-6372	100	39	(	(	PUNCT
ejpam-6372	100	40	(	(	PUNCT
ejpam-6372	100	41	uv	uv	NOUN
ejpam-6372	100	42	)	)	PUNCT
ejpam-6372	100	43	,	,	PUNCT
ejpam-6372	100	44	µn	µn	PROPN
ejpam-6372	100	45	(	(	PUNCT
ejpam-6372	100	46	(	(	PUNCT
ejpam-6372	100	47	uv))j	uv))j	PROPN
ejpam-6372	100	48	,	,	PUNCT
ejpam-6372	100	49	γn	γn	X
ejpam-6372	100	50	(	(	PUNCT
ejpam-6372	100	51	(	(	PUNCT
ejpam-6372	100	52	uv))j	uv))j	PROPN
ejpam-6372	100	53	)	)	PUNCT
ejpam-6372	100	54	which	which	PRON
ejpam-6372	100	55	intersect	intersect	VERB
ejpam-6372	100	56	at	at	ADP
ejpam-6372	100	57	a	a	DET
ejpam-6372	100	58	particular	particular	ADJ
ejpam-6372	100	59	point	point	NOUN
ejpam-6372	100	60	p	p	X
ejpam-6372	100	61	,	,	PUNCT
ejpam-6372	100	62	wherever	wherever	SCONJ
ejpam-6372	100	63	i	i	PRON
ejpam-6372	100	64	,	,	PUNCT
ejpam-6372	100	65	j	j	PROPN
ejpam-6372	100	66	are	be	AUX
ejpam-6372	100	67	permanent	permanent	ADJ
ejpam-6372	100	68	integers	integer	NOUN
ejpam-6372	100	69	.	.	PUNCT
ejpam-6372	101	1	by	by	ADP
ejpam-6372	101	2	fuzzy	fuzzy	ADJ
ejpam-6372	101	3	logic	logic	NOUN
ejpam-6372	101	4	,	,	PUNCT
ejpam-6372	101	5	if	if	SCONJ
ejpam-6372	101	6	one	one	NUM
ejpam-6372	101	7	at	at	ADP
ejpam-6372	101	8	smallest	small	ADJ
ejpam-6372	101	9	of	of	ADP
ejpam-6372	101	10	µn	µn	PROPN
ejpam-6372	101	11	(	(	PUNCT
ejpam-6372	101	12	rs)i	rs)i	PROPN
ejpam-6372	101	13	and	and	CCONJ
ejpam-6372	101	14	µn	µn	PROPN
ejpam-6372	101	15	(	(	PUNCT
ejpam-6372	101	16	uv)j	uv)j	PROPN
ejpam-6372	101	17	is	be	AUX
ejpam-6372	101	18	nearby	nearby	ADV
ejpam-6372	101	19	to	to	ADP
ejpam-6372	101	20	0	0	NUM
ejpam-6372	101	21	in	in	ADP
ejpam-6372	101	22	that	that	DET
ejpam-6372	101	23	case	case	NOUN
ejpam-6372	101	24	,	,	PUNCT
ejpam-6372	101	25	the	the	DET
ejpam-6372	101	26	crossing	crossing	NOUN
ejpam-6372	101	27	wo	will	AUX
ejpam-6372	101	28	n’t	not	PART
ejpam-6372	101	29	matter	matter	VERB
ejpam-6372	101	30	much	much	ADV
ejpam-6372	101	31	in	in	ADP
ejpam-6372	101	32	the	the	DET
ejpam-6372	101	33	representation	representation	NOUN
ejpam-6372	101	34	.	.	PUNCT
ejpam-6372	102	1	but	but	CCONJ
ejpam-6372	102	2	then	then	ADV
ejpam-6372	102	3	if	if	SCONJ
ejpam-6372	102	4	together	together	ADV
ejpam-6372	102	5	of	of	ADP
ejpam-6372	102	6	µn	µn	PROPN
ejpam-6372	102	7	(	(	PUNCT
ejpam-6372	102	8	rs)i	rs)i	PROPN
ejpam-6372	102	9	and	and	CCONJ
ejpam-6372	102	10	µn	µn	PROPN
ejpam-6372	102	11	(	(	PUNCT
ejpam-6372	102	12	uv)j	uv)j	PROPN
ejpam-6372	102	13	are	be	AUX
ejpam-6372	102	14	closed	close	VERB
ejpam-6372	102	15	to	to	ADP
ejpam-6372	102	16	1	1	NUM
ejpam-6372	102	17	,	,	PUNCT
ejpam-6372	102	18	in	in	ADP
ejpam-6372	102	19	that	that	DET
ejpam-6372	102	20	case	case	NOUN
ejpam-6372	102	21	,	,	PUNCT
ejpam-6372	102	22	the	the	DET
ejpam-6372	102	23	crossing	crossing	NOUN
ejpam-6372	102	24	is	be	AUX
ejpam-6372	102	25	matter	matter	ADV
ejpam-6372	102	26	much	much	ADV
ejpam-6372	102	27	in	in	ADP
ejpam-6372	102	28	the	the	DET
ejpam-6372	102	29	illustration	illustration	NOUN
ejpam-6372	102	30	.	.	PUNCT
ejpam-6372	103	1	based	base	VERB
ejpam-6372	103	2	on	on	ADP
ejpam-6372	103	3	this	this	DET
ejpam-6372	103	4	concept	concept	NOUN
ejpam-6372	103	5	,	,	PUNCT
ejpam-6372	103	6	the	the	DET
ejpam-6372	103	7	crossover	crossover	NOUN
ejpam-6372	103	8	rate	rate	NOUN
ejpam-6372	103	9	and	and	CCONJ
ejpam-6372	103	10	the	the	DET
ejpam-6372	103	11	intuitionistic	intuitionistic	ADJ
ejpam-6372	103	12	pythagorean	pythagorean	ADJ
ejpam-6372	103	13	fuzzy	fuzzy	ADJ
ejpam-6372	103	14	planarity	planarity	NOUN
ejpam-6372	103	15	rate	rate	NOUN
ejpam-6372	103	16	are	be	AUX
ejpam-6372	103	17	explained	explain	VERB
ejpam-6372	103	18	.	.	PUNCT
ejpam-6372	104	1	definition	definition	NOUN
ejpam-6372	104	2	5	5	NUM
ejpam-6372	104	3	.	.	PUNCT
ejpam-6372	105	1	the	the	DET
ejpam-6372	105	2	strength	strength	NOUN
ejpam-6372	105	3	of	of	ADP
ejpam-6372	105	4	the	the	DET
ejpam-6372	105	5	pythagorean	pythagorean	PROPN
ejpam-6372	105	6	fuzzy	fuzzy	ADJ
ejpam-6372	105	7	edge	edge	NOUN
ejpam-6372	105	8	rs	rs	NOUN
ejpam-6372	105	9	is	be	AUX
ejpam-6372	105	10	defined	define	VERB
ejpam-6372	105	11	as	as	ADP
ejpam-6372	105	12	ζrs	ζrs	NOUN
ejpam-6372	105	13	=	=	SYM
ejpam-6372	105	14	(	(	PUNCT
ejpam-6372	105	15	µrs	µrs	PROPN
ejpam-6372	105	16	,	,	PUNCT
ejpam-6372	105	17	γrs	γrs	NOUN
ejpam-6372	105	18	)	)	PUNCT
ejpam-6372	105	19	=	=	SYM
ejpam-6372	105	20	(	(	PUNCT
ejpam-6372	105	21	µn	µn	PROPN
ejpam-6372	105	22	(	(	PUNCT
ejpam-6372	105	23	rs)i	rs)i	PROPN
ejpam-6372	105	24	µm	µm	ADP
ejpam-6372	105	25	(	(	PUNCT
ejpam-6372	105	26	r	r	NOUN
ejpam-6372	105	27	)	)	PUNCT
ejpam-6372	105	28	∧	∧	PROPN
ejpam-6372	105	29	µm	µm	ADP
ejpam-6372	105	30	(	(	PUNCT
ejpam-6372	105	31	s	s	PROPN
ejpam-6372	105	32	)	)	PUNCT
ejpam-6372	105	33	,	,	PUNCT
ejpam-6372	105	34	γn	γn	X
ejpam-6372	105	35	(	(	PUNCT
ejpam-6372	105	36	rs)i	rs)i	ADV
ejpam-6372	105	37	γm	γm	X
ejpam-6372	105	38	(	(	PUNCT
ejpam-6372	105	39	r	r	NOUN
ejpam-6372	105	40	)	)	PUNCT
ejpam-6372	105	41	∧	∧	NOUN
ejpam-6372	105	42	γm	γm	X
ejpam-6372	105	43	(	(	PUNCT
ejpam-6372	105	44	s	s	NOUN
ejpam-6372	105	45	)	)	PUNCT
ejpam-6372	105	46	)	)	PUNCT
ejpam-6372	105	47	definition	definition	NOUN
ejpam-6372	105	48	6	6	NUM
ejpam-6372	105	49	.	.	PUNCT
ejpam-6372	106	1	let	let	VERB
ejpam-6372	106	2	g=	g=	NOUN
ejpam-6372	106	3	(	(	PUNCT
ejpam-6372	106	4	m	m	PROPN
ejpam-6372	106	5	,	,	PUNCT
ejpam-6372	106	6	n	n	CCONJ
ejpam-6372	106	7	)	)	PUNCT
ejpam-6372	106	8	be	be	AUX
ejpam-6372	106	9	an	an	DET
ejpam-6372	106	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	106	11	pythagorean	pythagorean	ADJ
ejpam-6372	106	12	fuzzy	fuzzy	ADJ
ejpam-6372	106	13	diagram	diagram	NOUN
ejpam-6372	106	14	through	through	ADP
ejpam-6372	106	15	a	a	DET
ejpam-6372	106	16	convinced	convinced	ADJ
ejpam-6372	106	17	symmetrical	symmetrical	ADJ
ejpam-6372	106	18	picture	picture	NOUN
ejpam-6372	106	19	which	which	PRON
ejpam-6372	106	20	takes	take	VERB
ejpam-6372	106	21	the	the	DET
ejpam-6372	106	22	crossing	crossing	NOUN
ejpam-6372	106	23	argument	argument	NOUN
ejpam-6372	106	24	‘	'	PUNCT
ejpam-6372	106	25	p	p	NOUN
ejpam-6372	106	26	’	'	PUNCT
ejpam-6372	106	27	among	among	ADP
ejpam-6372	106	28	the	the	DET
ejpam-6372	106	29	intuitionistic	intuitionistic	ADJ
ejpam-6372	106	30	pythagorean	pythagorean	PROPN
ejpam-6372	106	31	an	an	DET
ejpam-6372	106	32	edge	edge	NOUN
ejpam-6372	106	33	rs	rs	NOUN
ejpam-6372	106	34	of	of	ADP
ejpam-6372	106	35	ipfg	ipfg	PROPN
ejpam-6372	106	36	is	be	AUX
ejpam-6372	106	37	known	know	VERB
ejpam-6372	106	38	as	as	ADP
ejpam-6372	106	39	strong	strong	ADJ
ejpam-6372	106	40	if	if	SCONJ
ejpam-6372	106	41	µrs	µrs	PROPN
ejpam-6372	106	42	≥	≥	VERB
ejpam-6372	106	43	0.5	0.5	NUM
ejpam-6372	106	44	and	and	CCONJ
ejpam-6372	106	45	γrs	γrs	VERB
ejpam-6372	106	46	≤	≤	NUM
ejpam-6372	106	47	0.5	0.5	NUM
ejpam-6372	106	48	otherwise	otherwise	ADV
ejpam-6372	106	49	known	know	VERB
ejpam-6372	106	50	as	as	ADP
ejpam-6372	106	51	weak.uncertain	weak.uncertain	NUM
ejpam-6372	106	52	edges	edge	NOUN
ejpam-6372	106	53	(	(	PUNCT
ejpam-6372	106	54	(	(	PUNCT
ejpam-6372	106	55	rs	rs	NOUN
ejpam-6372	106	56	)	)	PUNCT
ejpam-6372	106	57	,	,	PUNCT
ejpam-6372	106	58	µn	µn	PROPN
ejpam-6372	106	59	(	(	PUNCT
ejpam-6372	106	60	rs)i	rs)i	PROPN
ejpam-6372	106	61	,	,	PUNCT
ejpam-6372	106	62	γn	γn	X
ejpam-6372	106	63	(	(	PUNCT
ejpam-6372	106	64	rs)i	rs)i	PROPN
ejpam-6372	106	65	)	)	PUNCT
ejpam-6372	106	66	and	and	CCONJ
ejpam-6372	106	67	(	(	PUNCT
ejpam-6372	106	68	(	(	PUNCT
ejpam-6372	106	69	uv	uv	NOUN
ejpam-6372	106	70	)	)	PUNCT
ejpam-6372	106	71	,	,	PUNCT
ejpam-6372	106	72	µn	µn	PROPN
ejpam-6372	106	73	(	(	PUNCT
ejpam-6372	106	74	uv)j	uv)j	PROPN
ejpam-6372	106	75	,	,	PUNCT
ejpam-6372	106	76	γn	γn	ADP
ejpam-6372	106	77	(	(	PUNCT
ejpam-6372	106	78	uv)j	uv)j	PROPN
ejpam-6372	106	79	)	)	PUNCT
ejpam-6372	106	80	.	.	PUNCT
ejpam-6372	107	1	the	the	DET
ejpam-6372	107	2	crossing	crossing	NOUN
ejpam-6372	107	3	rate	rate	NOUN
ejpam-6372	107	4	at	at	ADP
ejpam-6372	107	5	the	the	DET
ejpam-6372	107	6	point	point	NOUN
ejpam-6372	107	7	is	be	AUX
ejpam-6372	107	8	then	then	ADV
ejpam-6372	107	9	defined	define	VERB
ejpam-6372	107	10	as	as	ADP
ejpam-6372	107	11	ζp	ζp	PROPN
ejpam-6372	107	12	=	=	X
ejpam-6372	107	13	(	(	PUNCT
ejpam-6372	107	14	µp	µp	PROPN
ejpam-6372	107	15	,	,	PUNCT
ejpam-6372	107	16	γp	γp	NOUN
ejpam-6372	107	17	)	)	PUNCT
ejpam-6372	107	18	=	=	PRON
ejpam-6372	108	1	(	(	PUNCT
ejpam-6372	108	2	µrs	µrs	PRON
ejpam-6372	109	1	+	+	CCONJ
ejpam-6372	109	2	µuv	µuv	PROPN
ejpam-6372	109	3	2	2	NUM
ejpam-6372	109	4	,	,	PUNCT
ejpam-6372	109	5	γrs	γrs	VERB
ejpam-6372	109	6	+	+	CCONJ
ejpam-6372	109	7	γuv	γuv	X
ejpam-6372	109	8	2	2	NUM
ejpam-6372	109	9	)	)	PUNCT
ejpam-6372	109	10	if	if	SCONJ
ejpam-6372	109	11	the	the	DET
ejpam-6372	109	12	total	total	NOUN
ejpam-6372	109	13	of	of	ADP
ejpam-6372	109	14	crossing	cross	VERB
ejpam-6372	109	15	arguments	argument	NOUN
ejpam-6372	109	16	in	in	ADP
ejpam-6372	109	17	an	an	DET
ejpam-6372	109	18	intuitionistic	intuitionistic	ADJ
ejpam-6372	109	19	pythagorean	pythagorean	ADJ
ejpam-6372	109	20	uncertain	uncertain	ADJ
ejpam-6372	109	21	graph	graph	NOUN
ejpam-6372	109	22	upsurge	upsurge	NOUN
ejpam-6372	109	23	,	,	PUNCT
ejpam-6372	109	24	then	then	ADV
ejpam-6372	109	25	the	the	DET
ejpam-6372	109	26	planarity	planarity	NOUN
ejpam-6372	109	27	value	value	NOUN
ejpam-6372	109	28	of	of	ADP
ejpam-6372	109	29	ipfg	ipfg	ADJ
ejpam-6372	109	30	declines	decline	NOUN
ejpam-6372	109	31	.	.	PUNCT
ejpam-6372	110	1	hence	hence	ADV
ejpam-6372	110	2	the	the	DET
ejpam-6372	110	3	rate	rate	NOUN
ejpam-6372	110	4	of	of	ADP
ejpam-6372	110	5	ζp	ζp	DET
ejpam-6372	110	6	upsurges	upsurge	NOUN
ejpam-6372	110	7	,	,	PUNCT
ejpam-6372	110	8	then	then	ADV
ejpam-6372	110	9	the	the	DET
ejpam-6372	110	10	planarity	planarity	NOUN
ejpam-6372	110	11	value	value	NOUN
ejpam-6372	110	12	declines	decline	VERB
ejpam-6372	110	13	.	.	PUNCT
ejpam-6372	111	1	so	so	ADV
ejpam-6372	111	2	that	that	SCONJ
ejpam-6372	111	3	ζp	ζp	PROPN
ejpam-6372	111	4	is	be	AUX
ejpam-6372	111	5	proportionate	proportionate	ADJ
ejpam-6372	111	6	inversely	inversely	ADV
ejpam-6372	111	7	to	to	ADP
ejpam-6372	111	8	planarity	planarity	NOUN
ejpam-6372	111	9	of	of	ADP
ejpam-6372	111	10	ipfg	ipfg	PROPN
ejpam-6372	111	11	.	.	PUNCT
ejpam-6372	112	1	what	what	PRON
ejpam-6372	112	2	defines	define	VERB
ejpam-6372	112	3	an	an	DET
ejpam-6372	112	4	intuitionistic	intuitionistic	ADJ
ejpam-6372	112	5	pythagorean	pythagorean	ADJ
ejpam-6372	112	6	fuzzy	fuzzy	ADJ
ejpam-6372	112	7	graph	graph	NOUN
ejpam-6372	112	8	is	be	AUX
ejpam-6372	112	9	the	the	DET
ejpam-6372	112	10	knowledge	knowledge	NOUN
ejpam-6372	112	11	of	of	ADP
ejpam-6372	112	12	its	its	PRON
ejpam-6372	112	13	planarity	planarity	NOUN
ejpam-6372	112	14	value	value	NOUN
ejpam-6372	112	15	.	.	PUNCT
ejpam-6372	113	1	definition	definition	NOUN
ejpam-6372	113	2	7	7	NUM
ejpam-6372	113	3	.	.	PUNCT
ejpam-6372	114	1	let	let	VERB
ejpam-6372	114	2	g=	g=	NOUN
ejpam-6372	114	3	(	(	PUNCT
ejpam-6372	114	4	m	m	PROPN
ejpam-6372	114	5	,	,	PUNCT
ejpam-6372	114	6	n	n	CCONJ
ejpam-6372	114	7	)	)	PUNCT
ejpam-6372	114	8	be	be	AUX
ejpam-6372	114	9	an	an	DET
ejpam-6372	114	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	114	11	pythagorean	pythagorean	ADJ
ejpam-6372	114	12	fuzzy	fuzzy	ADJ
ejpam-6372	114	13	graph	graph	NOUN
ejpam-6372	114	14	with	with	ADP
ejpam-6372	114	15	a	a	DET
ejpam-6372	114	16	sure	sure	ADJ
ejpam-6372	114	17	geometric	geometric	ADJ
ejpam-6372	114	18	picture	picture	NOUN
ejpam-6372	114	19	which	which	PRON
ejpam-6372	114	20	have	have	VERB
ejpam-6372	114	21	the	the	DET
ejpam-6372	114	22	crossing	crossing	NOUN
ejpam-6372	114	23	points	point	NOUN
ejpam-6372	114	24	p1	p1	NOUN
ejpam-6372	114	25	,	,	PUNCT
ejpam-6372	114	26	p2	p2	NOUN
ejpam-6372	114	27	,	,	PUNCT
ejpam-6372	114	28	.	.	PUNCT
ejpam-6372	114	29	.	.	PUNCT
ejpam-6372	115	1	.	.	PUNCT
ejpam-6372	116	1	,	,	PUNCT
ejpam-6372	116	2	pn	pn	PROPN
ejpam-6372	116	3	and	and	CCONJ
ejpam-6372	116	4	now	now	ADV
ejpam-6372	116	5	express	express	VERB
ejpam-6372	116	6	the	the	DET
ejpam-6372	116	7	intuitionistic	intuitionistic	ADJ
ejpam-6372	116	8	pythagorean	pythagorean	ADJ
ejpam-6372	116	9	uncertain	uncertain	ADJ
ejpam-6372	116	10	planarity	planarity	NOUN
ejpam-6372	116	11	rate	rate	NOUN
ejpam-6372	116	12	ξ	ξ	PROPN
ejpam-6372	116	13	of	of	ADP
ejpam-6372	116	14	this	this	DET
ejpam-6372	116	15	symmetrical	symmetrical	ADJ
ejpam-6372	116	16	representation	representation	NOUN
ejpam-6372	116	17	of	of	ADP
ejpam-6372	116	18	‘	'	PUNCT
ejpam-6372	116	19	g	g	NOUN
ejpam-6372	116	20	’	'	PUNCT
ejpam-6372	116	21	by	by	ADP
ejpam-6372	116	22	ζ	ζ	NOUN
ejpam-6372	116	23	=	=	SYM
ejpam-6372	116	24	(	(	PUNCT
ejpam-6372	116	25	ζµ	ζµ	NOUN
ejpam-6372	116	26	,	,	PUNCT
ejpam-6372	116	27	ζγ	ζγ	NOUN
ejpam-6372	116	28	)	)	PUNCT
ejpam-6372	116	29	=	=	PUNCT
ejpam-6372	117	1	(	(	PUNCT
ejpam-6372	117	2	1	1	NUM
ejpam-6372	117	3	1	1	NUM
ejpam-6372	117	4	+	+	CCONJ
ejpam-6372	117	5	µξ1	µξ1	NOUN
ejpam-6372	117	6	+	+	CCONJ
ejpam-6372	117	7	µξ2	µξ2	NOUN
ejpam-6372	117	8	+	+	NOUN
ejpam-6372	117	9	−−+µξn	−−+µξn	NOUN
ejpam-6372	117	10	,	,	PUNCT
ejpam-6372	117	11	1	1	NUM
ejpam-6372	117	12	1	1	NUM
ejpam-6372	117	13	+	+	NUM
ejpam-6372	117	14	γξ1	γξ1	PROPN
ejpam-6372	118	1	+	+	CCONJ
ejpam-6372	118	2	γξ2	γξ2	X
ejpam-6372	119	1	+	+	ADJ
ejpam-6372	119	2	−−+γξn	−−+γξn	ADJ
ejpam-6372	119	3	)	)	PUNCT
ejpam-6372	119	4	every	every	DET
ejpam-6372	119	5	symmetrical	symmetrical	ADJ
ejpam-6372	119	6	representation	representation	NOUN
ejpam-6372	119	7	of	of	ADP
ejpam-6372	119	8	an	an	DET
ejpam-6372	119	9	intuitionistic	intuitionistic	ADJ
ejpam-6372	119	10	pythagorean	pythagorean	ADJ
ejpam-6372	119	11	uncertain	uncertain	ADJ
ejpam-6372	119	12	graph	graph	NOUN
ejpam-6372	119	13	is	be	AUX
ejpam-6372	119	14	planar	planar	ADJ
ejpam-6372	119	15	with	with	ADP
ejpam-6372	119	16	a	a	DET
ejpam-6372	119	17	specific	specific	ADJ
ejpam-6372	119	18	planarity	planarity	NOUN
ejpam-6372	119	19	rate	rate	NOUN
ejpam-6372	119	20	,	,	PUNCT
ejpam-6372	119	21	because	because	SCONJ
ejpam-6372	119	22	it	it	PRON
ejpam-6372	119	23	is	be	AUX
ejpam-6372	119	24	obvious	obvious	ADJ
ejpam-6372	119	25	that	that	SCONJ
ejpam-6372	119	26	0	0	NUM
ejpam-6372	119	27	≤	≤	NUM
ejpam-6372	119	28	ξ	ξ	X
ejpam-6372	119	29	≤	≤	NUM
ejpam-6372	119	30	1	1	NUM
ejpam-6372	119	31	.	.	PUNCT
ejpam-6372	119	32	example	example	NOUN
ejpam-6372	120	1	1	1	NUM
ejpam-6372	120	2	.	.	PUNCT
ejpam-6372	121	1	let	let	VERB
ejpam-6372	121	2	g=	g=	NOUN
ejpam-6372	121	3	(	(	PUNCT
ejpam-6372	121	4	m	m	PROPN
ejpam-6372	121	5	,	,	PUNCT
ejpam-6372	121	6	n	n	CCONJ
ejpam-6372	121	7	)	)	PUNCT
ejpam-6372	121	8	be	be	AUX
ejpam-6372	121	9	an	an	DET
ejpam-6372	121	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	121	11	pythagorean	pythagorean	ADJ
ejpam-6372	121	12	fuzzy	fuzzy	ADJ
ejpam-6372	121	13	graph	graph	NOUN
ejpam-6372	121	14	in	in	ADP
ejpam-6372	121	15	the	the	DET
ejpam-6372	121	16	above	above	ADJ
ejpam-6372	121	17	figure	figure	NOUN
ejpam-6372	121	18	2	2	NUM
ejpam-6372	121	19	,	,	PUNCT
ejpam-6372	121	20	there	there	ADV
ejpam-6372	121	21	two	two	NUM
ejpam-6372	121	22	crossing	crossing	NOUN
ejpam-6372	121	23	point	point	NOUN
ejpam-6372	121	24	’	'	PUNCT
ejpam-6372	121	25	p1	p1	NOUN
ejpam-6372	121	26	and	and	CCONJ
ejpam-6372	121	27	p2	p2	NOUN
ejpam-6372	121	28	’	'	PUNCT
ejpam-6372	121	29	.	.	PUNCT
ejpam-6372	122	1	the	the	DET
ejpam-6372	122	2	crossing	crossing	NOUN
ejpam-6372	122	3	value	value	NOUN
ejpam-6372	122	4	at	at	ADP
ejpam-6372	122	5	the	the	DET
ejpam-6372	122	6	point	point	NOUN
ejpam-6372	122	7	p1	p1	NOUN
ejpam-6372	122	8	is	be	AUX
ejpam-6372	122	9	ζp1	ζp1	NOUN
ejpam-6372	122	10	=	=	PUNCT
ejpam-6372	122	11	(	(	PUNCT
ejpam-6372	122	12	0.7	0.7	NUM
ejpam-6372	122	13	+	+	NUM
ejpam-6372	122	14	0.4	0.4	NUM
ejpam-6372	122	15	2	2	NUM
ejpam-6372	122	16	,	,	PUNCT
ejpam-6372	122	17	0.3	0.3	NUM
ejpam-6372	122	18	+	+	CCONJ
ejpam-6372	122	19	0.3	0.3	NUM
ejpam-6372	122	20	2	2	NUM
ejpam-6372	122	21	)	)	PUNCT
ejpam-6372	122	22	=	=	SYM
ejpam-6372	123	1	(	(	PUNCT
ejpam-6372	123	2	0.55	0.55	NUM
ejpam-6372	123	3	,	,	PUNCT
ejpam-6372	123	4	0.3	0.3	NUM
ejpam-6372	123	5	)	)	PUNCT
ejpam-6372	123	6	obbu	obbu	PROPN
ejpam-6372	123	7	ramesh	ramesh	PROPN
ejpam-6372	123	8	et.al	et.al	PROPN
ejpam-6372	123	9	/	/	SYM
ejpam-6372	123	10	eur	eur	PROPN
ejpam-6372	123	11	.	.	PUNCT
ejpam-6372	124	1	j.	j.	PROPN
ejpam-6372	124	2	pure	pure	PROPN
ejpam-6372	124	3	appl	appl	PROPN
ejpam-6372	124	4	.	.	PROPN
ejpam-6372	124	5	math	math	PROPN
ejpam-6372	124	6	,	,	PUNCT
ejpam-6372	124	7	18	18	NUM
ejpam-6372	124	8	(	(	PUNCT
ejpam-6372	124	9	3	3	NUM
ejpam-6372	124	10	)	)	PUNCT
ejpam-6372	124	11	(	(	PUNCT
ejpam-6372	124	12	2025	2025	NUM
ejpam-6372	124	13	)	)	PUNCT
ejpam-6372	124	14	,	,	PUNCT
ejpam-6372	124	15	6372	6372	NUM
ejpam-6372	124	16	7	7	NUM
ejpam-6372	124	17	of	of	ADP
ejpam-6372	124	18	17	17	NUM
ejpam-6372	124	19	figure	figure	NOUN
ejpam-6372	124	20	2	2	NUM
ejpam-6372	124	21	:	:	PUNCT
ejpam-6372	124	22	ipfg	ipfg	PROPN
ejpam-6372	124	23	and	and	CCONJ
ejpam-6372	124	24	the	the	DET
ejpam-6372	124	25	crossing	crossing	NOUN
ejpam-6372	124	26	value	value	NOUN
ejpam-6372	124	27	at	at	ADP
ejpam-6372	124	28	the	the	DET
ejpam-6372	124	29	point	point	NOUN
ejpam-6372	124	30	p2	p2	NOUN
ejpam-6372	124	31	is	be	AUX
ejpam-6372	124	32	:	:	PUNCT
ejpam-6372	124	33	ζp2	ζp2	NOUN
ejpam-6372	124	34	=	=	PUNCT
ejpam-6372	124	35	(	(	PUNCT
ejpam-6372	124	36	0.6	0.6	NUM
ejpam-6372	124	37	+	+	CCONJ
ejpam-6372	124	38	0.8	0.8	NUM
ejpam-6372	124	39	2	2	NUM
ejpam-6372	124	40	,	,	PUNCT
ejpam-6372	124	41	0.4	0.4	NUM
ejpam-6372	124	42	+	+	CCONJ
ejpam-6372	124	43	0.1	0.1	NUM
ejpam-6372	124	44	2	2	NUM
ejpam-6372	124	45	)	)	PUNCT
ejpam-6372	124	46	=	=	PUNCT
ejpam-6372	124	47	(	(	PUNCT
ejpam-6372	124	48	0.7	0.7	NUM
ejpam-6372	124	49	,	,	PUNCT
ejpam-6372	124	50	0.25	0.25	NUM
ejpam-6372	124	51	)	)	PUNCT
ejpam-6372	125	1	so	so	ADV
ejpam-6372	125	2	,	,	PUNCT
ejpam-6372	125	3	the	the	DET
ejpam-6372	125	4	inutionistic	inutionistic	ADJ
ejpam-6372	125	5	pythagorean	pythagorean	ADJ
ejpam-6372	125	6	uncertain	uncertain	ADJ
ejpam-6372	125	7	planarity	planarity	NOUN
ejpam-6372	125	8	rate	rate	NOUN
ejpam-6372	125	9	of	of	ADP
ejpam-6372	125	10	this	this	DET
ejpam-6372	125	11	geometric	geometric	ADJ
ejpam-6372	125	12	representation	representation	NOUN
ejpam-6372	125	13	of	of	ADP
ejpam-6372	125	14	g	g	PROPN
ejpam-6372	125	15	ξ	ξ	PROPN
ejpam-6372	125	16	=	=	SYM
ejpam-6372	125	17	(	(	PUNCT
ejpam-6372	125	18	ξµ	ξµ	NOUN
ejpam-6372	125	19	,	,	PUNCT
ejpam-6372	125	20	ξγ	ξγ	VERB
ejpam-6372	125	21	)	)	PUNCT
ejpam-6372	125	22	=	=	SYM
ejpam-6372	126	1	(	(	PUNCT
ejpam-6372	126	2	1	1	NUM
ejpam-6372	126	3	1	1	NUM
ejpam-6372	126	4	+	+	NUM
ejpam-6372	126	5	0.55	0.55	NUM
ejpam-6372	126	6	+	+	CCONJ
ejpam-6372	126	7	0.7	0.7	NUM
ejpam-6372	126	8	,	,	PUNCT
ejpam-6372	126	9	1	1	NUM
ejpam-6372	126	10	1	1	NUM
ejpam-6372	126	11	+	+	CCONJ
ejpam-6372	126	12	0.3	0.3	NUM
ejpam-6372	126	13	+	+	CCONJ
ejpam-6372	126	14	0.25	0.25	NUM
ejpam-6372	126	15	)	)	PUNCT
ejpam-6372	126	16	ξ	ξ	X
ejpam-6372	126	17	=	=	SYM
ejpam-6372	126	18	(	(	PUNCT
ejpam-6372	126	19	0.44	0.44	NUM
ejpam-6372	126	20	,	,	PUNCT
ejpam-6372	126	21	0.65	0.65	NUM
ejpam-6372	126	22	)	)	PUNCT
ejpam-6372	126	23	theorem	theorem	NOUN
ejpam-6372	126	24	1	1	NUM
ejpam-6372	126	25	.	.	X
ejpam-6372	126	26	for	for	ADP
ejpam-6372	126	27	any	any	DET
ejpam-6372	126	28	intuitionistic	intuitionistic	ADJ
ejpam-6372	126	29	pythagorean	pythagorean	ADJ
ejpam-6372	126	30	fuzzy	fuzzy	ADJ
ejpam-6372	126	31	graph	graph	NOUN
ejpam-6372	126	32	with	with	ADP
ejpam-6372	126	33	geometric	geometric	ADJ
ejpam-6372	126	34	representation	representation	NOUN
ejpam-6372	126	35	which	which	PRON
ejpam-6372	126	36	has	have	VERB
ejpam-6372	126	37	‘	'	PUNCT
ejpam-6372	126	38	k	k	NOUN
ejpam-6372	126	39	’	'	PUNCT
ejpam-6372	126	40	and	and	CCONJ
ejpam-6372	126	41	‘	'	PUNCT
ejpam-6372	126	42	l	l	NOUN
ejpam-6372	126	43	’	'	PUNCT
ejpam-6372	126	44	crossing	crossing	NOUN
ejpam-6372	126	45	points	point	NOUN
ejpam-6372	126	46	of	of	ADP
ejpam-6372	126	47	membership	membership	NOUN
ejpam-6372	126	48	and	and	CCONJ
ejpam-6372	126	49	non	non	ADJ
ejpam-6372	126	50	-	-	ADJ
ejpam-6372	126	51	membership	membership	ADJ
ejpam-6372	126	52	standards	standard	NOUN
ejpam-6372	126	53	are	be	AUX
ejpam-6372	126	54	:(	:(	X
ejpam-6372	126	55	1	1	NUM
ejpam-6372	126	56	1	1	NUM
ejpam-6372	126	57	+	+	CCONJ
ejpam-6372	126	58	k	k	PROPN
ejpam-6372	126	59	≤	≤	NUM
ejpam-6372	127	1	ξµ	ξµ	X
ejpam-6372	127	2	≤	≤	NUM
ejpam-6372	127	3	1	1	NUM
ejpam-6372	127	4	1	1	NUM
ejpam-6372	127	5	+	+	ADP
ejpam-6372	127	6	kµ	kµ	PROPN
ejpam-6372	127	7	,	,	PUNCT
ejpam-6372	127	8	1	1	NUM
ejpam-6372	127	9	1	1	NUM
ejpam-6372	127	10	+	+	NUM
ejpam-6372	127	11	l	l	NOUN
ejpam-6372	127	12	≤	≤	X
ejpam-6372	127	13	ξ	ξ	X
ejpam-6372	127	14	≤	≤	NUM
ejpam-6372	127	15	1	1	NUM
ejpam-6372	127	16	1	1	NUM
ejpam-6372	127	17	+	+	CCONJ
ejpam-6372	127	18	lω	lω	ADP
ejpam-6372	127	19	)	)	PUNCT
ejpam-6372	127	20	where	where	SCONJ
ejpam-6372	127	21	η	η	PROPN
ejpam-6372	127	22	=	=	SYM
ejpam-6372	127	23	min{µσ(r	min{µσ(r	PROPN
ejpam-6372	127	24	)	)	PUNCT
ejpam-6372	127	25	:	:	PUNCT
ejpam-6372	128	1	r	r	NOUN
ejpam-6372	128	2	∈	∈	PROPN
ejpam-6372	128	3	v	v	NOUN
ejpam-6372	128	4	}	}	PUNCT
ejpam-6372	128	5	and	and	CCONJ
ejpam-6372	128	6	ω	ω	NUM
ejpam-6372	128	7	=	=	SYM
ejpam-6372	128	8	min{γσ(r	min{γσ(r	PROPN
ejpam-6372	128	9	)	)	PUNCT
ejpam-6372	128	10	:	:	PUNCT
ejpam-6372	129	1	r	r	NOUN
ejpam-6372	129	2	∈	∈	PROPN
ejpam-6372	129	3	v	v	NOUN
ejpam-6372	129	4	}	}	PUNCT
ejpam-6372	129	5	proof	proof	NOUN
ejpam-6372	129	6	.	.	PUNCT
ejpam-6372	130	1	by	by	ADP
ejpam-6372	130	2	the	the	DET
ejpam-6372	130	3	definition	definition	NOUN
ejpam-6372	130	4	6	6	NUM
ejpam-6372	130	5	,	,	PUNCT
ejpam-6372	130	6	we	we	PRON
ejpam-6372	130	7	have	have	VERB
ejpam-6372	130	8	ξ	ξ	NOUN
ejpam-6372	130	9	=	=	SYM
ejpam-6372	130	10	(	(	PUNCT
ejpam-6372	130	11	ξµ	ξµ	NOUN
ejpam-6372	130	12	,	,	PUNCT
ejpam-6372	130	13	ξγ	ξγ	VERB
ejpam-6372	130	14	)	)	PUNCT
ejpam-6372	130	15	=	=	SYM
ejpam-6372	131	1	(	(	PUNCT
ejpam-6372	131	2	1	1	NUM
ejpam-6372	131	3	1	1	NUM
ejpam-6372	131	4	+	+	CCONJ
ejpam-6372	131	5	µζ1	µζ1	X
ejpam-6372	131	6	+	+	NOUN
ejpam-6372	131	7	µζ2	µζ2	PROPN
ejpam-6372	131	8	+	+	X
ejpam-6372	131	9	·	·	PUNCT
ejpam-6372	131	10	·	·	PUNCT
ejpam-6372	131	11	·	·	PUNCT
ejpam-6372	132	1	+	+	NUM
ejpam-6372	132	2	µζk	µζk	NOUN
ejpam-6372	132	3	,	,	PUNCT
ejpam-6372	132	4	1	1	NUM
ejpam-6372	132	5	1	1	NUM
ejpam-6372	132	6	+	+	NUM
ejpam-6372	132	7	γζ1	γζ1	NOUN
ejpam-6372	132	8	+	+	CCONJ
ejpam-6372	132	9	γζ2	γζ2	NOUN
ejpam-6372	132	10	+	+	CCONJ
ejpam-6372	132	11	·	·	PUNCT
ejpam-6372	132	12	·	·	PUNCT
ejpam-6372	132	13	·	·	PUNCT
ejpam-6372	133	1	+	+	NUM
ejpam-6372	133	2	γζl	γζl	NOUN
ejpam-6372	133	3	)	)	PUNCT
ejpam-6372	133	4	and	and	CCONJ
ejpam-6372	133	5	definition	definition	NOUN
ejpam-6372	133	6	5	5	NUM
ejpam-6372	133	7	,	,	PUNCT
ejpam-6372	133	8	then	then	ADV
ejpam-6372	133	9	ζp	ζp	ADV
ejpam-6372	133	10	=	=	PUNCT
ejpam-6372	133	11	(	(	PUNCT
ejpam-6372	133	12	µp	µp	PROPN
ejpam-6372	133	13	,	,	PUNCT
ejpam-6372	133	14	γp	γp	PROPN
ejpam-6372	133	15	)	)	PUNCT
ejpam-6372	134	1	=	=	PRON
ejpam-6372	134	2	(	(	PUNCT
ejpam-6372	134	3	µrs	µrs	PRON
ejpam-6372	135	1	+	+	CCONJ
ejpam-6372	135	2	µuv	µuv	PROPN
ejpam-6372	135	3	2	2	NUM
ejpam-6372	135	4	,	,	PUNCT
ejpam-6372	135	5	γrs	γrs	VERB
ejpam-6372	135	6	+	+	CCONJ
ejpam-6372	135	7	γuv	γuv	X
ejpam-6372	135	8	2	2	NUM
ejpam-6372	135	9	)	)	PUNCT
ejpam-6372	135	10	since	since	SCONJ
ejpam-6372	135	11	(	(	PUNCT
ejpam-6372	135	12	µrs	µrs	PROPN
ejpam-6372	135	13	,	,	PUNCT
ejpam-6372	135	14	γrs	γrs	NOUN
ejpam-6372	135	15	)	)	PUNCT
ejpam-6372	135	16	≤	≤	NOUN
ejpam-6372	135	17	(	(	PUNCT
ejpam-6372	135	18	1	1	NUM
ejpam-6372	135	19	,	,	PUNCT
ejpam-6372	135	20	1	1	NUM
ejpam-6372	135	21	)	)	PUNCT
ejpam-6372	135	22	,	,	PUNCT
ejpam-6372	135	23	for	for	ADP
ejpam-6372	135	24	any	any	DET
ejpam-6372	135	25	intuitionistic	intuitionistic	ADJ
ejpam-6372	135	26	pythagorean	pythagorean	ADJ
ejpam-6372	135	27	fuzzy	fuzzy	ADJ
ejpam-6372	135	28	graph	graph	NOUN
ejpam-6372	135	29	edge	edge	NOUN
ejpam-6372	135	30	(	(	PUNCT
ejpam-6372	135	31	(	(	PUNCT
ejpam-6372	135	32	rs	rs	NOUN
ejpam-6372	135	33	)	)	PUNCT
ejpam-6372	135	34	,	,	PUNCT
ejpam-6372	135	35	µn	µn	PROPN
ejpam-6372	135	36	(	(	PUNCT
ejpam-6372	135	37	rs)i	rs)i	PROPN
ejpam-6372	135	38	,	,	PUNCT
ejpam-6372	135	39	γn	γn	X
ejpam-6372	135	40	(	(	PUNCT
ejpam-6372	135	41	rs)i	rs)i	INTJ
ejpam-6372	135	42	)	)	PUNCT
ejpam-6372	135	43	in	in	ADP
ejpam-6372	135	44	g	g	PROPN
ejpam-6372	135	45	,	,	PUNCT
ejpam-6372	135	46	then	then	ADV
ejpam-6372	135	47	ζp	ζp	PROPN
ejpam-6372	135	48	(	(	PUNCT
ejpam-6372	135	49	i	i	PROPN
ejpam-6372	135	50	,	,	PUNCT
ejpam-6372	135	51	j	j	PROPN
ejpam-6372	135	52	)	)	PUNCT
ejpam-6372	135	53	≤	≤	NOUN
ejpam-6372	135	54	(	(	PUNCT
ejpam-6372	135	55	1	1	NUM
ejpam-6372	135	56	+	+	SYM
ejpam-6372	135	57	1	1	NUM
ejpam-6372	135	58	2	2	NUM
ejpam-6372	135	59	,	,	PUNCT
ejpam-6372	135	60	1	1	NUM
ejpam-6372	135	61	+	+	SYM
ejpam-6372	135	62	1	1	NUM
ejpam-6372	135	63	2	2	NUM
ejpam-6372	135	64	)	)	PUNCT
ejpam-6372	135	65	=	=	SYM
ejpam-6372	135	66	(	(	PUNCT
ejpam-6372	135	67	1	1	NUM
ejpam-6372	135	68	,	,	PUNCT
ejpam-6372	135	69	1	1	NUM
ejpam-6372	135	70	)	)	PUNCT
ejpam-6372	135	71	for	for	ADP
ejpam-6372	135	72	{	{	PUNCT
ejpam-6372	135	73	i	i	NOUN
ejpam-6372	135	74	=	=	NOUN
ejpam-6372	135	75	1	1	NUM
ejpam-6372	135	76	,	,	PUNCT
ejpam-6372	135	77	2	2	NUM
ejpam-6372	135	78	,	,	PUNCT
ejpam-6372	135	79	.	.	PUNCT
ejpam-6372	135	80	.	.	PUNCT
ejpam-6372	136	1	.	.	PUNCT
ejpam-6372	137	1	,	,	PUNCT
ejpam-6372	137	2	k	k	X
ejpam-6372	137	3	}	}	PUNCT
ejpam-6372	137	4	and	and	CCONJ
ejpam-6372	137	5	{	{	PUNCT
ejpam-6372	137	6	j	j	NOUN
ejpam-6372	137	7	=	=	SYM
ejpam-6372	137	8	1	1	NUM
ejpam-6372	137	9	,	,	PUNCT
ejpam-6372	137	10	2	2	NUM
ejpam-6372	137	11	,	,	PUNCT
ejpam-6372	137	12	.	.	PUNCT
ejpam-6372	137	13	.	.	PUNCT
ejpam-6372	138	1	.	.	PUNCT
ejpam-6372	139	1	,	,	PUNCT
ejpam-6372	139	2	1	1	X
ejpam-6372	139	3	}	}	PUNCT
ejpam-6372	139	4	,	,	PUNCT
ejpam-6372	139	5	given	give	VERB
ejpam-6372	139	6	by	by	ADP
ejpam-6372	139	7	(	(	PUNCT
ejpam-6372	139	8	1	1	NUM
ejpam-6372	139	9	+	+	ADP
ejpam-6372	139	10	µζ1	µζ1	X
ejpam-6372	139	11	+	+	NOUN
ejpam-6372	139	12	µζ2	µζ2	PROPN
ejpam-6372	139	13	+	+	X
ejpam-6372	139	14	·	·	PUNCT
ejpam-6372	139	15	·	·	PUNCT
ejpam-6372	139	16	·	·	PUNCT
ejpam-6372	139	17	+	+	NUM
ejpam-6372	139	18	µζk	µζk	NOUN
ejpam-6372	139	19	,	,	PUNCT
ejpam-6372	139	20	1	1	NUM
ejpam-6372	139	21	+	+	CCONJ
ejpam-6372	139	22	γζ1	γζ1	NOUN
ejpam-6372	139	23	+	+	CCONJ
ejpam-6372	139	24	γζ2	γζ2	NOUN
ejpam-6372	139	25	+	+	CCONJ
ejpam-6372	139	26	·	·	PUNCT
ejpam-6372	139	27	·	·	PUNCT
ejpam-6372	139	28	·	·	PUNCT
ejpam-6372	139	29	+	+	NUM
ejpam-6372	139	30	γζl	γζl	NOUN
ejpam-6372	139	31	)	)	PUNCT
ejpam-6372	139	32	≤	≤	NOUN
ejpam-6372	139	33	(	(	PUNCT
ejpam-6372	139	34	k	k	NOUN
ejpam-6372	139	35	,	,	PUNCT
ejpam-6372	139	36	l	l	NOUN
ejpam-6372	139	37	)	)	PUNCT
ejpam-6372	139	38	obbu	obbu	PROPN
ejpam-6372	139	39	ramesh	ramesh	PROPN
ejpam-6372	139	40	et.al	et.al	PROPN
ejpam-6372	139	41	/	/	SYM
ejpam-6372	139	42	eur	eur	PROPN
ejpam-6372	139	43	.	.	PUNCT
ejpam-6372	140	1	j.	j.	PROPN
ejpam-6372	140	2	pure	pure	PROPN
ejpam-6372	140	3	appl	appl	PROPN
ejpam-6372	140	4	.	.	PROPN
ejpam-6372	140	5	math	math	PROPN
ejpam-6372	140	6	,	,	PUNCT
ejpam-6372	140	7	18	18	NUM
ejpam-6372	140	8	(	(	PUNCT
ejpam-6372	140	9	3	3	NUM
ejpam-6372	140	10	)	)	PUNCT
ejpam-6372	140	11	(	(	PUNCT
ejpam-6372	140	12	2025	2025	NUM
ejpam-6372	140	13	)	)	PUNCT
ejpam-6372	140	14	,	,	PUNCT
ejpam-6372	140	15	6372	6372	NUM
ejpam-6372	140	16	8	8	NUM
ejpam-6372	140	17	of	of	ADP
ejpam-6372	140	18	17	17	NUM
ejpam-6372	140	19	so	so	ADV
ejpam-6372	140	20	,	,	PUNCT
ejpam-6372	140	21	ξ	ξ	X
ejpam-6372	140	22	=	=	SYM
ejpam-6372	140	23	(	(	PUNCT
ejpam-6372	140	24	1	1	NUM
ejpam-6372	140	25	1	1	NUM
ejpam-6372	140	26	+	+	CCONJ
ejpam-6372	140	27	µζ1	µζ1	X
ejpam-6372	140	28	+	+	NOUN
ejpam-6372	140	29	µζ2	µζ2	PROPN
ejpam-6372	140	30	+	+	X
ejpam-6372	140	31	·	·	PUNCT
ejpam-6372	140	32	·	·	PUNCT
ejpam-6372	140	33	·	·	PUNCT
ejpam-6372	141	1	+	+	NUM
ejpam-6372	141	2	µζk	µζk	NOUN
ejpam-6372	141	3	,	,	PUNCT
ejpam-6372	141	4	1	1	NUM
ejpam-6372	141	5	1	1	NUM
ejpam-6372	141	6	+	+	NUM
ejpam-6372	141	7	γζ1	γζ1	NOUN
ejpam-6372	141	8	+	+	CCONJ
ejpam-6372	141	9	γζ2	γζ2	NOUN
ejpam-6372	141	10	+	+	CCONJ
ejpam-6372	141	11	·	·	PUNCT
ejpam-6372	141	12	·	·	PUNCT
ejpam-6372	141	13	·	·	PUNCT
ejpam-6372	142	1	+	+	NUM
ejpam-6372	142	2	γζl	γζl	NOUN
ejpam-6372	142	3	)	)	PUNCT
ejpam-6372	142	4	≥	≥	NUM
ejpam-6372	142	5	(	(	PUNCT
ejpam-6372	142	6	1	1	NUM
ejpam-6372	142	7	1	1	NUM
ejpam-6372	143	1	+	+	CCONJ
ejpam-6372	143	2	k	k	PROPN
ejpam-6372	143	3	,	,	PUNCT
ejpam-6372	143	4	1	1	NUM
ejpam-6372	143	5	1	1	NUM
ejpam-6372	143	6	+	+	NUM
ejpam-6372	143	7	l	l	NOUN
ejpam-6372	143	8	)	)	PUNCT
ejpam-6372	143	9	on	on	ADP
ejpam-6372	143	10	the	the	DET
ejpam-6372	143	11	otherhand	otherhand	PROPN
ejpam-6372	143	12	,	,	PUNCT
ejpam-6372	143	13	(	(	PUNCT
ejpam-6372	143	14	µrg	µrg	NOUN
ejpam-6372	143	15	,	,	PUNCT
ejpam-6372	143	16	γrs	γrs	ADJ
ejpam-6372	143	17	)	)	PUNCT
ejpam-6372	143	18	≥	≥	NOUN
ejpam-6372	143	19	σ(r	σ(r	PROPN
ejpam-6372	143	20	)	)	PUNCT
ejpam-6372	143	21	∧	∧	PROPN
ejpam-6372	143	22	σ(s	σ(s	PROPN
ejpam-6372	143	23	)	)	PUNCT
ejpam-6372	143	24	,	,	PUNCT
ejpam-6372	143	25	for	for	ADP
ejpam-6372	143	26	any	any	DET
ejpam-6372	143	27	intuitionistic	intuitionistic	ADJ
ejpam-6372	143	28	pythagorean	pythagorean	ADJ
ejpam-6372	143	29	fuzzy	fuzzy	ADJ
ejpam-6372	143	30	two	two	NUM
ejpam-6372	143	31	edges	edge	NOUN
ejpam-6372	143	32	in	in	ADP
ejpam-6372	143	33	g.	g.	PROPN
ejpam-6372	143	34	(	(	PUNCT
ejpam-6372	143	35	(	(	PUNCT
ejpam-6372	143	36	rs	rs	NOUN
ejpam-6372	143	37	)	)	PUNCT
ejpam-6372	143	38	,	,	PUNCT
ejpam-6372	143	39	µn	µn	PROPN
ejpam-6372	143	40	(	(	PUNCT
ejpam-6372	143	41	(	(	PUNCT
ejpam-6372	143	42	rs))i	rs))i	PROPN
ejpam-6372	143	43	,	,	PUNCT
ejpam-6372	143	44	γn	γn	X
ejpam-6372	143	45	(	(	PUNCT
ejpam-6372	143	46	(	(	PUNCT
ejpam-6372	143	47	rs))i	rs))i	NOUN
ejpam-6372	143	48	)	)	PUNCT
ejpam-6372	143	49	and	and	CCONJ
ejpam-6372	143	50	(	(	PUNCT
ejpam-6372	143	51	(	(	PUNCT
ejpam-6372	143	52	uv	uv	NOUN
ejpam-6372	143	53	)	)	PUNCT
ejpam-6372	143	54	,	,	PUNCT
ejpam-6372	143	55	µn	µn	PROPN
ejpam-6372	143	56	(	(	PUNCT
ejpam-6372	143	57	(	(	PUNCT
ejpam-6372	143	58	uv))j	uv))j	PROPN
ejpam-6372	143	59	,	,	PUNCT
ejpam-6372	143	60	γn	γn	X
ejpam-6372	143	61	(	(	PUNCT
ejpam-6372	143	62	(	(	PUNCT
ejpam-6372	143	63	uv))j	uv))j	PROPN
ejpam-6372	143	64	)	)	PUNCT
ejpam-6372	143	65	since	since	SCONJ
ejpam-6372	143	66	η	η	PROPN
ejpam-6372	143	67	=	=	SYM
ejpam-6372	143	68	min	min	PROPN
ejpam-6372	143	69	{	{	PUNCT
ejpam-6372	143	70	µσ(r	µσ(r	PUNCT
ejpam-6372	143	71	)	)	PUNCT
ejpam-6372	143	72	:	:	PUNCT
ejpam-6372	143	73	r	r	NOUN
ejpam-6372	143	74	∈	∈	PROPN
ejpam-6372	143	75	v	v	NOUN
ejpam-6372	143	76	,	,	PUNCT
ejpam-6372	143	77	γσ(r	γσ(r	X
ejpam-6372	143	78	)	)	PUNCT
ejpam-6372	143	79	:	:	PUNCT
ejpam-6372	143	80	r	r	NOUN
ejpam-6372	143	81	∈	∈	PROPN
ejpam-6372	143	82	v	v	NOUN
ejpam-6372	143	83	}	}	PUNCT
ejpam-6372	143	84	,	,	PUNCT
ejpam-6372	143	85	then	then	ADV
ejpam-6372	143	86	(	(	PUNCT
ejpam-6372	143	87	µrs	µrs	PROPN
ejpam-6372	143	88	,	,	PUNCT
ejpam-6372	143	89	γrs	γrs	ADJ
ejpam-6372	143	90	)	)	PUNCT
ejpam-6372	143	91	≥	≥	PROPN
ejpam-6372	143	92	(	(	PUNCT
ejpam-6372	143	93	η	η	PROPN
ejpam-6372	143	94	,	,	PUNCT
ejpam-6372	143	95	ω	ω	NOUN
ejpam-6372	143	96	)	)	PUNCT
ejpam-6372	143	97	ζp	ζp	PROPN
ejpam-6372	143	98	(	(	PUNCT
ejpam-6372	143	99	i	i	PROPN
ejpam-6372	143	100	,	,	PUNCT
ejpam-6372	143	101	j	j	PROPN
ejpam-6372	143	102	)	)	PUNCT
ejpam-6372	143	103	≥	≥	PROPN
ejpam-6372	143	104	(	(	PUNCT
ejpam-6372	143	105	η	η	PROPN
ejpam-6372	143	106	+	+	PROPN
ejpam-6372	143	107	η	η	PROPN
ejpam-6372	143	108	2	2	NUM
ejpam-6372	143	109	,	,	PUNCT
ejpam-6372	143	110	ω+	ω+	NOUN
ejpam-6372	143	111	ω	ω	NOUN
ejpam-6372	143	112	2	2	NUM
ejpam-6372	143	113	)	)	PUNCT
ejpam-6372	143	114	=	=	SYM
ejpam-6372	143	115	(	(	PUNCT
ejpam-6372	143	116	η	η	PROPN
ejpam-6372	143	117	,	,	PUNCT
ejpam-6372	143	118	ω	ω	NUM
ejpam-6372	143	119	)	)	PUNCT
ejpam-6372	143	120	it	it	PRON
ejpam-6372	143	121	has	have	VERB
ejpam-6372	143	122	µζ1	µζ1	X
ejpam-6372	143	123	+	+	NOUN
ejpam-6372	143	124	µζ2	µζ2	ADJ
ejpam-6372	143	125	+	+	NUM
ejpam-6372	143	126	·	·	PUNCT
ejpam-6372	143	127	·	·	PUNCT
ejpam-6372	143	128	·	·	PUNCT
ejpam-6372	143	129	+	+	NUM
ejpam-6372	143	130	µζn	µζn	PROPN
ejpam-6372	143	131	≥	≥	PRON
ejpam-6372	143	132	kη	kη	PROPN
ejpam-6372	143	133	and	and	CCONJ
ejpam-6372	143	134	γζ1	γζ1	PROPN
ejpam-6372	143	135	+	+	CCONJ
ejpam-6372	143	136	γζ2	γζ2	NOUN
ejpam-6372	143	137	+	+	CCONJ
ejpam-6372	143	138	·	·	PUNCT
ejpam-6372	143	139	·	·	PUNCT
ejpam-6372	143	140	·	·	PUNCT
ejpam-6372	143	141	+	+	NUM
ejpam-6372	143	142	γζl	γζl	X
ejpam-6372	143	143	≥	≥	NOUN
ejpam-6372	143	144	lω	lω	VERB
ejpam-6372	143	145	thus	thus	ADV
ejpam-6372	143	146	,	,	PUNCT
ejpam-6372	143	147	for	for	ADP
ejpam-6372	143	148	{	{	PUNCT
ejpam-6372	143	149	i	i	NOUN
ejpam-6372	143	150	=	=	NOUN
ejpam-6372	143	151	1	1	NUM
ejpam-6372	143	152	,	,	PUNCT
ejpam-6372	143	153	2	2	NUM
ejpam-6372	143	154	,	,	PUNCT
ejpam-6372	143	155	.	.	PUNCT
ejpam-6372	143	156	.	.	PUNCT
ejpam-6372	143	157	.	.	PUNCT
ejpam-6372	144	1	,	,	PUNCT
ejpam-6372	144	2	k	k	X
ejpam-6372	144	3	}	}	PUNCT
ejpam-6372	144	4	and	and	CCONJ
ejpam-6372	144	5	{	{	PUNCT
ejpam-6372	144	6	j	j	NOUN
ejpam-6372	144	7	=	=	SYM
ejpam-6372	144	8	1	1	NUM
ejpam-6372	144	9	,	,	PUNCT
ejpam-6372	144	10	2	2	NUM
ejpam-6372	144	11	,	,	PUNCT
ejpam-6372	144	12	.	.	PUNCT
ejpam-6372	144	13	.	.	PUNCT
ejpam-6372	145	1	.	.	PUNCT
ejpam-6372	146	1	,	,	PUNCT
ejpam-6372	146	2	1	1	X
ejpam-6372	146	3	}	}	PUNCT
ejpam-6372	146	4	,	,	PUNCT
ejpam-6372	146	5	given	give	VERB
ejpam-6372	146	6	by	by	ADP
ejpam-6372	146	7	ξ	ξ	PROPN
ejpam-6372	146	8	=	=	SYM
ejpam-6372	146	9	(	(	PUNCT
ejpam-6372	146	10	1	1	NUM
ejpam-6372	146	11	1	1	NUM
ejpam-6372	146	12	+	+	CCONJ
ejpam-6372	146	13	µζ1	µζ1	X
ejpam-6372	146	14	+	+	NOUN
ejpam-6372	146	15	µζ2	µζ2	PROPN
ejpam-6372	146	16	+	+	X
ejpam-6372	146	17	·	·	PUNCT
ejpam-6372	146	18	·	·	PUNCT
ejpam-6372	146	19	·	·	PUNCT
ejpam-6372	146	20	+	+	NUM
ejpam-6372	146	21	µζk	µζk	NOUN
ejpam-6372	146	22	,	,	PUNCT
ejpam-6372	146	23	1	1	NUM
ejpam-6372	146	24	1	1	NUM
ejpam-6372	146	25	+	+	NUM
ejpam-6372	146	26	γζ1	γζ1	NOUN
ejpam-6372	146	27	+	+	CCONJ
ejpam-6372	146	28	γζ2	γζ2	NOUN
ejpam-6372	146	29	+	+	CCONJ
ejpam-6372	146	30	·	·	PUNCT
ejpam-6372	146	31	·	·	PUNCT
ejpam-6372	146	32	·	·	PUNCT
ejpam-6372	146	33	+	+	NUM
ejpam-6372	146	34	γζl	γζl	NOUN
ejpam-6372	146	35	)	)	PUNCT
ejpam-6372	146	36	≤	≤	NUM
ejpam-6372	146	37	(	(	PUNCT
ejpam-6372	146	38	1	1	NUM
ejpam-6372	146	39	1	1	NUM
ejpam-6372	146	40	+	+	CCONJ
ejpam-6372	146	41	kη	kη	PROPN
ejpam-6372	146	42	,	,	PUNCT
ejpam-6372	146	43	1	1	NUM
ejpam-6372	146	44	1	1	NUM
ejpam-6372	146	45	+	+	CCONJ
ejpam-6372	146	46	lω	lω	AUX
ejpam-6372	146	47	)	)	PUNCT
ejpam-6372	146	48	theorem	theorem	NOUN
ejpam-6372	146	49	2	2	NUM
ejpam-6372	146	50	.	.	X
ejpam-6372	146	51	for	for	ADP
ejpam-6372	146	52	any	any	DET
ejpam-6372	146	53	intuitionistic	intuitionistic	ADJ
ejpam-6372	146	54	pythagorean	pythagorean	ADJ
ejpam-6372	146	55	fuzzy	fuzzy	ADJ
ejpam-6372	146	56	graph	graph	NOUN
ejpam-6372	146	57	g	g	NOUN
ejpam-6372	146	58	with	with	ADP
ejpam-6372	146	59	symmetrical	symmetrical	ADJ
ejpam-6372	146	60	representation	representation	NOUN
ejpam-6372	146	61	which	which	PRON
ejpam-6372	146	62	takes	take	VERB
ejpam-6372	146	63	(	(	PUNCT
ejpam-6372	146	64	k	k	NOUN
ejpam-6372	146	65	,	,	PUNCT
ejpam-6372	146	66	l	l	NOUN
ejpam-6372	146	67	)	)	PUNCT
ejpam-6372	146	68	crossing	crossing	NOUN
ejpam-6372	146	69	points	point	NOUN
ejpam-6372	146	70	and	and	CCONJ
ejpam-6372	146	71	which	which	PRON
ejpam-6372	146	72	are	be	AUX
ejpam-6372	146	73	edges	edge	NOUN
ejpam-6372	146	74	steady	steady	ADJ
ejpam-6372	146	75	.	.	PUNCT
ejpam-6372	147	1	ξ	ξ	X
ejpam-6372	147	2	=	=	SYM
ejpam-6372	147	3	(	(	PUNCT
ejpam-6372	147	4	1	1	NUM
ejpam-6372	147	5	1	1	NUM
ejpam-6372	147	6	+	+	CCONJ
ejpam-6372	147	7	kα	kα	PROPN
ejpam-6372	147	8	,	,	PUNCT
ejpam-6372	147	9	1	1	NUM
ejpam-6372	147	10	1	1	NUM
ejpam-6372	147	11	+	+	NUM
ejpam-6372	147	12	lβ	lβ	NOUN
ejpam-6372	147	13	)	)	PUNCT
ejpam-6372	147	14	where	where	SCONJ
ejpam-6372	147	15	α	α	NOUN
ejpam-6372	147	16	=	=	VERB
ejpam-6372	147	17	µrs	µrs	PROPN
ejpam-6372	147	18	and	and	CCONJ
ejpam-6372	147	19	β	β	X
ejpam-6372	147	20	=	=	SYM
ejpam-6372	147	21	γrs	γrs	NOUN
ejpam-6372	147	22	,	,	PUNCT
ejpam-6372	147	23	for	for	ADP
ejpam-6372	147	24	any	any	DET
ejpam-6372	147	25	intuitionistic	intuitionistic	ADJ
ejpam-6372	147	26	pythagorean	pythagorean	ADJ
ejpam-6372	147	27	fuzzy	fuzzy	ADJ
ejpam-6372	147	28	two	two	NUM
ejpam-6372	147	29	edges	edge	NOUN
ejpam-6372	147	30	(	(	PUNCT
ejpam-6372	147	31	(	(	PUNCT
ejpam-6372	147	32	rs	rs	NOUN
ejpam-6372	147	33	)	)	PUNCT
ejpam-6372	147	34	,	,	PUNCT
ejpam-6372	147	35	µn	µn	PROPN
ejpam-6372	147	36	(	(	PUNCT
ejpam-6372	147	37	rs)i	rs)i	PROPN
ejpam-6372	147	38	,	,	PUNCT
ejpam-6372	147	39	γn	γn	X
ejpam-6372	147	40	(	(	PUNCT
ejpam-6372	147	41	rs)i	rs)i	PROPN
ejpam-6372	147	42	)	)	PUNCT
ejpam-6372	147	43	and	and	CCONJ
ejpam-6372	147	44	(	(	PUNCT
ejpam-6372	147	45	(	(	PUNCT
ejpam-6372	147	46	uv	uv	NOUN
ejpam-6372	147	47	)	)	PUNCT
ejpam-6372	147	48	,	,	PUNCT
ejpam-6372	147	49	µn	µn	PROPN
ejpam-6372	147	50	(	(	PUNCT
ejpam-6372	147	51	uv)j	uv)j	PROPN
ejpam-6372	147	52	,	,	PUNCT
ejpam-6372	147	53	γn	γn	ADP
ejpam-6372	147	54	(	(	PUNCT
ejpam-6372	147	55	uv)j	uv)j	PROPN
ejpam-6372	147	56	)	)	PUNCT
ejpam-6372	147	57	in	in	ADP
ejpam-6372	147	58	g.	g.	PROPN
ejpam-6372	147	59	proof	proof	PROPN
ejpam-6372	147	60	.	.	PUNCT
ejpam-6372	148	1	according	accord	VERB
ejpam-6372	148	2	to	to	ADP
ejpam-6372	148	3	definition	definition	NOUN
ejpam-6372	148	4	5	5	NUM
ejpam-6372	148	5	,	,	PUNCT
ejpam-6372	148	6	we	we	PRON
ejpam-6372	148	7	have	have	VERB
ejpam-6372	148	8	ζp	ζp	ADJ
ejpam-6372	148	9	=	=	PUNCT
ejpam-6372	148	10	(	(	PUNCT
ejpam-6372	148	11	µp	µp	PROPN
ejpam-6372	148	12	,	,	PUNCT
ejpam-6372	148	13	γp	γp	PROPN
ejpam-6372	148	14	)	)	PUNCT
ejpam-6372	148	15	=	=	PRON
ejpam-6372	148	16	(	(	PUNCT
ejpam-6372	148	17	µrs	µrs	PRON
ejpam-6372	149	1	+	+	CCONJ
ejpam-6372	149	2	µuv	µuv	PROPN
ejpam-6372	149	3	2	2	NUM
ejpam-6372	149	4	,	,	PUNCT
ejpam-6372	149	5	γrs	γrs	VERB
ejpam-6372	149	6	+	+	CCONJ
ejpam-6372	149	7	γuv	γuv	X
ejpam-6372	149	8	2	2	NUM
ejpam-6372	149	9	)	)	PUNCT
ejpam-6372	149	10	since	since	SCONJ
ejpam-6372	149	11	g	g	PROPN
ejpam-6372	149	12	is	be	AUX
ejpam-6372	149	13	edge	edge	NOUN
ejpam-6372	149	14	stable	stable	ADJ
ejpam-6372	149	15	,	,	PUNCT
ejpam-6372	149	16	then	then	ADV
ejpam-6372	149	17	µrs	µrs	PROPN
ejpam-6372	150	1	=	=	SYM
ejpam-6372	150	2	µuv	µuv	NOUN
ejpam-6372	150	3	=	=	SYM
ejpam-6372	150	4	α	α	PROPN
ejpam-6372	150	5	,	,	PUNCT
ejpam-6372	150	6	γrs	γrs	NOUN
ejpam-6372	150	7	=	=	SYM
ejpam-6372	150	8	γuv	γuv	NOUN
ejpam-6372	150	9	=	=	SYM
ejpam-6372	150	10	β	β	NOUN
ejpam-6372	150	11	,	,	PUNCT
ejpam-6372	150	12	for	for	ADP
ejpam-6372	150	13	any	any	DET
ejpam-6372	150	14	intuitionistic	intuitionistic	ADJ
ejpam-6372	150	15	pythagorean	pythagorean	ADJ
ejpam-6372	150	16	fuzzy	fuzzy	ADJ
ejpam-6372	150	17	two	two	NUM
ejpam-6372	150	18	edges	edge	NOUN
ejpam-6372	150	19	(	(	PUNCT
ejpam-6372	150	20	(	(	PUNCT
ejpam-6372	150	21	rs	rs	NOUN
ejpam-6372	150	22	)	)	PUNCT
ejpam-6372	150	23	,	,	PUNCT
ejpam-6372	150	24	µn	µn	PROPN
ejpam-6372	150	25	(	(	PUNCT
ejpam-6372	150	26	rs)i	rs)i	PROPN
ejpam-6372	150	27	,	,	PUNCT
ejpam-6372	150	28	γn	γn	X
ejpam-6372	150	29	(	(	PUNCT
ejpam-6372	150	30	rs)i	rs)i	PROPN
ejpam-6372	150	31	and	and	CCONJ
ejpam-6372	150	32	(	(	PUNCT
ejpam-6372	150	33	(	(	PUNCT
ejpam-6372	150	34	uv	uv	NOUN
ejpam-6372	150	35	)	)	PUNCT
ejpam-6372	150	36	,	,	PUNCT
ejpam-6372	150	37	µn	µn	PROPN
ejpam-6372	150	38	(	(	PUNCT
ejpam-6372	150	39	uv)i	uv)i	PROPN
ejpam-6372	150	40	,	,	PUNCT
ejpam-6372	150	41	γn	γn	NUM
ejpam-6372	150	42	(	(	PUNCT
ejpam-6372	150	43	uv)i	uv)i	PROPN
ejpam-6372	150	44	in	in	ADP
ejpam-6372	150	45	g	g	PROPN
ejpam-6372	150	46	ζp	ζp	PROPN
ejpam-6372	150	47	(	(	PUNCT
ejpam-6372	150	48	i	i	PROPN
ejpam-6372	150	49	,	,	PUNCT
ejpam-6372	150	50	j	j	PROPN
ejpam-6372	150	51	)	)	PUNCT
ejpam-6372	150	52	=	=	PRON
ejpam-6372	150	53	(	(	PUNCT
ejpam-6372	150	54	α+	α+	NOUN
ejpam-6372	150	55	α	α	NOUN
ejpam-6372	150	56	2	2	NUM
ejpam-6372	150	57	,	,	PUNCT
ejpam-6372	150	58	β	β	X
ejpam-6372	150	59	+	+	X
ejpam-6372	150	60	β	β	X
ejpam-6372	150	61	2	2	NUM
ejpam-6372	150	62	)	)	PUNCT
ejpam-6372	150	63	=	=	SYM
ejpam-6372	150	64	(	(	PUNCT
ejpam-6372	150	65	α	α	X
ejpam-6372	150	66	,	,	PUNCT
ejpam-6372	150	67	β	β	NOUN
ejpam-6372	150	68	)	)	PUNCT
ejpam-6372	150	69	for	for	ADP
ejpam-6372	150	70	{	{	PUNCT
ejpam-6372	150	71	i	i	NOUN
ejpam-6372	150	72	=	=	NOUN
ejpam-6372	150	73	1	1	NUM
ejpam-6372	150	74	,	,	PUNCT
ejpam-6372	150	75	2	2	NUM
ejpam-6372	150	76	,	,	PUNCT
ejpam-6372	150	77	.	.	PUNCT
ejpam-6372	150	78	.	.	PUNCT
ejpam-6372	150	79	.	.	PUNCT
ejpam-6372	151	1	,	,	PUNCT
ejpam-6372	151	2	k	k	X
ejpam-6372	151	3	}	}	PUNCT
ejpam-6372	151	4	and	and	CCONJ
ejpam-6372	151	5	j	j	PROPN
ejpam-6372	151	6	=	=	PRON
ejpam-6372	151	7	{	{	PUNCT
ejpam-6372	151	8	j	j	PROPN
ejpam-6372	151	9	=	=	SYM
ejpam-6372	151	10	0	0	NUM
ejpam-6372	151	11	,	,	PUNCT
ejpam-6372	151	12	1	1	NUM
ejpam-6372	151	13	,	,	PUNCT
ejpam-6372	151	14	2	2	NUM
ejpam-6372	151	15	,	,	PUNCT
ejpam-6372	151	16	.	.	PUNCT
ejpam-6372	151	17	.	.	PUNCT
ejpam-6372	152	1	.	.	PUNCT
ejpam-6372	153	1	,	,	PUNCT
ejpam-6372	153	2	1	1	X
ejpam-6372	153	3	}	}	PUNCT
ejpam-6372	153	4	,	,	PUNCT
ejpam-6372	153	5	given	give	VERB
ejpam-6372	153	6	by	by	ADP
ejpam-6372	153	7	ξ	ξ	PROPN
ejpam-6372	153	8	=	=	SYM
ejpam-6372	153	9	(	(	PUNCT
ejpam-6372	153	10	1	1	NUM
ejpam-6372	153	11	1	1	NUM
ejpam-6372	153	12	+	+	CCONJ
ejpam-6372	153	13	µζ1	µζ1	X
ejpam-6372	153	14	+	+	NOUN
ejpam-6372	153	15	µζ2	µζ2	PROPN
ejpam-6372	153	16	+	+	X
ejpam-6372	153	17	·	·	PUNCT
ejpam-6372	153	18	·	·	PUNCT
ejpam-6372	153	19	·	·	PUNCT
ejpam-6372	153	20	+	+	NUM
ejpam-6372	153	21	µζk	µζk	NOUN
ejpam-6372	153	22	,	,	PUNCT
ejpam-6372	153	23	1	1	NUM
ejpam-6372	153	24	1	1	NUM
ejpam-6372	153	25	+	+	NUM
ejpam-6372	153	26	γζ1	γζ1	NOUN
ejpam-6372	153	27	+	+	CCONJ
ejpam-6372	153	28	γζ2	γζ2	NOUN
ejpam-6372	153	29	+	+	CCONJ
ejpam-6372	153	30	·	·	PUNCT
ejpam-6372	153	31	·	·	PUNCT
ejpam-6372	153	32	·	·	PUNCT
ejpam-6372	153	33	+	+	NUM
ejpam-6372	153	34	γζl	γζl	NOUN
ejpam-6372	153	35	)	)	PUNCT
ejpam-6372	153	36	ξ	ξ	X
ejpam-6372	153	37	=	=	SYM
ejpam-6372	153	38	(	(	PUNCT
ejpam-6372	153	39	1	1	NUM
ejpam-6372	153	40	1	1	NUM
ejpam-6372	153	41	+	+	CCONJ
ejpam-6372	153	42	kα	kα	PROPN
ejpam-6372	153	43	,	,	PUNCT
ejpam-6372	153	44	1	1	NUM
ejpam-6372	153	45	1	1	NUM
ejpam-6372	153	46	+	+	NUM
ejpam-6372	153	47	lβ	lβ	PROPN
ejpam-6372	153	48	)	)	PUNCT
ejpam-6372	153	49	obbu	obbu	PROPN
ejpam-6372	153	50	ramesh	ramesh	PROPN
ejpam-6372	153	51	et.al	et.al	PROPN
ejpam-6372	153	52	/	/	SYM
ejpam-6372	153	53	eur	eur	PROPN
ejpam-6372	153	54	.	.	PUNCT
ejpam-6372	154	1	j.	j.	PROPN
ejpam-6372	154	2	pure	pure	PROPN
ejpam-6372	154	3	appl	appl	PROPN
ejpam-6372	154	4	.	.	PROPN
ejpam-6372	154	5	math	math	PROPN
ejpam-6372	154	6	,	,	PUNCT
ejpam-6372	154	7	18	18	NUM
ejpam-6372	154	8	(	(	PUNCT
ejpam-6372	154	9	3	3	NUM
ejpam-6372	154	10	)	)	PUNCT
ejpam-6372	154	11	(	(	PUNCT
ejpam-6372	154	12	2025	2025	NUM
ejpam-6372	154	13	)	)	PUNCT
ejpam-6372	154	14	,	,	PUNCT
ejpam-6372	154	15	6372	6372	NUM
ejpam-6372	154	16	9	9	NUM
ejpam-6372	154	17	of	of	ADP
ejpam-6372	154	18	17	17	NUM
ejpam-6372	154	19	theorem	theorem	NOUN
ejpam-6372	154	20	3	3	NUM
ejpam-6372	154	21	.	.	X
ejpam-6372	155	1	for	for	ADP
ejpam-6372	155	2	any	any	DET
ejpam-6372	155	3	intuitionistic	intuitionistic	ADJ
ejpam-6372	155	4	pythagorean	pythagorean	ADJ
ejpam-6372	155	5	fuzzy	fuzzy	ADJ
ejpam-6372	155	6	graph	graph	NOUN
ejpam-6372	155	7	g	g	NOUN
ejpam-6372	155	8	with	with	ADP
ejpam-6372	155	9	geometric	geometric	ADJ
ejpam-6372	155	10	representation	representation	NOUN
ejpam-6372	155	11	which	which	PRON
ejpam-6372	155	12	has	have	VERB
ejpam-6372	155	13	(	(	PUNCT
ejpam-6372	155	14	k	k	X
ejpam-6372	155	15	,	,	PUNCT
ejpam-6372	155	16	l	l	NOUN
ejpam-6372	155	17	)	)	PUNCT
ejpam-6372	155	18	crossing	crossing	NOUN
ejpam-6372	155	19	points	point	NOUN
ejpam-6372	155	20	,	,	PUNCT
ejpam-6372	155	21	all	all	PRON
ejpam-6372	155	22	of	of	ADP
ejpam-6372	155	23	them	they	PRON
ejpam-6372	155	24	in	in	ADP
ejpam-6372	155	25	between	between	ADP
ejpam-6372	155	26	the	the	DET
ejpam-6372	155	27	pythagorean	pythagorean	ADJ
ejpam-6372	155	28	fuzzy	fuzzy	ADJ
ejpam-6372	155	29	edges	edge	NOUN
ejpam-6372	155	30	,	,	PUNCT
ejpam-6372	155	31	which	which	PRON
ejpam-6372	155	32	are	be	AUX
ejpam-6372	155	33	ineffective	ineffective	ADJ
ejpam-6372	155	34	.	.	PUNCT
ejpam-6372	156	1	ξ	ξ	X
ejpam-6372	156	2	>	>	X
ejpam-6372	156	3	(	(	PUNCT
ejpam-6372	156	4	1	1	NUM
ejpam-6372	156	5	1	1	NUM
ejpam-6372	156	6	+	+	CCONJ
ejpam-6372	156	7	kα	kα	PROPN
ejpam-6372	156	8	,	,	PUNCT
ejpam-6372	156	9	1	1	NUM
ejpam-6372	156	10	1	1	NUM
ejpam-6372	156	11	+	+	NUM
ejpam-6372	156	12	lβ	lβ	NOUN
ejpam-6372	156	13	)	)	PUNCT
ejpam-6372	156	14	where	where	SCONJ
ejpam-6372	156	15	α	α	NOUN
ejpam-6372	156	16	=	=	SYM
ejpam-6372	156	17	maxi{µσ(r	maxi{µσ(r	NOUN
ejpam-6372	156	18	)	)	PUNCT
ejpam-6372	156	19	:	:	PUNCT
ejpam-6372	157	1	r	r	NOUN
ejpam-6372	157	2	∈	∈	PROPN
ejpam-6372	157	3	v	v	NOUN
ejpam-6372	157	4	}	}	PUNCT
ejpam-6372	157	5	and	and	CCONJ
ejpam-6372	157	6	also	also	ADV
ejpam-6372	157	7	β	β	NOUN
ejpam-6372	157	8	=	=	SYM
ejpam-6372	157	9	maxi{γσ(r	maxi{γσ(r	NOUN
ejpam-6372	157	10	)	)	PUNCT
ejpam-6372	157	11	:	:	PUNCT
ejpam-6372	158	1	r	r	NOUN
ejpam-6372	158	2	∈	∈	PROPN
ejpam-6372	158	3	v	v	NOUN
ejpam-6372	158	4	}	}	PUNCT
ejpam-6372	158	5	proof	proof	NOUN
ejpam-6372	158	6	.	.	PUNCT
ejpam-6372	159	1	according	accord	VERB
ejpam-6372	159	2	to	to	ADP
ejpam-6372	159	3	the	the	DET
ejpam-6372	159	4	defintion	defintion	NOUN
ejpam-6372	159	5	2	2	NUM
ejpam-6372	159	6	,	,	PUNCT
ejpam-6372	159	7	we	we	PRON
ejpam-6372	159	8	have	have	VERB
ejpam-6372	159	9	ζp	ζp	ADJ
ejpam-6372	159	10	=	=	PUNCT
ejpam-6372	159	11	(	(	PUNCT
ejpam-6372	159	12	µp	µp	PROPN
ejpam-6372	159	13	,	,	PUNCT
ejpam-6372	159	14	γp	γp	PROPN
ejpam-6372	159	15	)	)	PUNCT
ejpam-6372	159	16	=	=	PRON
ejpam-6372	159	17	(	(	PUNCT
ejpam-6372	159	18	µrs	µrs	PRON
ejpam-6372	160	1	+	+	CCONJ
ejpam-6372	160	2	µuv	µuv	PROPN
ejpam-6372	160	3	2	2	NUM
ejpam-6372	160	4	,	,	PUNCT
ejpam-6372	160	5	γrs	γrs	VERB
ejpam-6372	160	6	+	+	CCONJ
ejpam-6372	160	7	γuv	γuv	X
ejpam-6372	160	8	2	2	NUM
ejpam-6372	160	9	)	)	PUNCT
ejpam-6372	160	10	on	on	ADP
ejpam-6372	160	11	account	account	NOUN
ejpam-6372	160	12	that	that	PRON
ejpam-6372	160	13	each	each	DET
ejpam-6372	160	14	n	n	ADP
ejpam-6372	160	15	crossing	cross	VERB
ejpam-6372	160	16	arguments	argument	NOUN
ejpam-6372	160	17	in	in	ADP
ejpam-6372	160	18	g	g	PROPN
ejpam-6372	160	19	are	be	AUX
ejpam-6372	160	20	among	among	ADP
ejpam-6372	160	21	non	non	ADJ
ejpam-6372	160	22	-	-	ADJ
ejpam-6372	160	23	effective	effective	ADJ
ejpam-6372	160	24	pythagorean	pythagorean	ADJ
ejpam-6372	160	25	uncertain	uncertain	ADJ
ejpam-6372	160	26	edges	edge	NOUN
ejpam-6372	160	27	,	,	PUNCT
ejpam-6372	160	28	then	then	ADV
ejpam-6372	160	29	µrs	µrs	PRON
ejpam-6372	160	30	<	<	X
ejpam-6372	160	31	max{σ(r	max{σ(r	PROPN
ejpam-6372	160	32	)	)	PUNCT
ejpam-6372	160	33	,	,	PUNCT
ejpam-6372	160	34	σ(s	σ(s	PROPN
ejpam-6372	160	35	)	)	PUNCT
ejpam-6372	160	36	}	}	PUNCT
ejpam-6372	160	37	,	,	PUNCT
ejpam-6372	160	38	µuv	µuv	ADP
ejpam-6372	160	39	<	<	X
ejpam-6372	160	40	max{σ(u	max{σ(u	NOUN
ejpam-6372	160	41	)	)	PUNCT
ejpam-6372	160	42	,	,	PUNCT
ejpam-6372	160	43	σ(v	σ(v	NOUN
ejpam-6372	160	44	)	)	PUNCT
ejpam-6372	160	45	}	}	PUNCT
ejpam-6372	160	46	and	and	CCONJ
ejpam-6372	160	47	γrs	γrs	VERB
ejpam-6372	160	48	<	<	X
ejpam-6372	160	49	max{σ(r	max{σ(r	PROPN
ejpam-6372	160	50	)	)	PUNCT
ejpam-6372	160	51	,	,	PUNCT
ejpam-6372	160	52	σ(s	σ(s	PROPN
ejpam-6372	160	53	)	)	PUNCT
ejpam-6372	160	54	}	}	PUNCT
ejpam-6372	160	55	,	,	PUNCT
ejpam-6372	160	56	γuv	γuv	X
ejpam-6372	160	57	<	<	X
ejpam-6372	160	58	max{σ(u	max{σ(u	NOUN
ejpam-6372	160	59	)	)	PUNCT
ejpam-6372	160	60	,	,	PUNCT
ejpam-6372	160	61	σ(v	σ(v	NOUN
ejpam-6372	160	62	)	)	PUNCT
ejpam-6372	160	63	}	}	PUNCT
ejpam-6372	160	64	meanwhile	meanwhile	ADV
ejpam-6372	160	65	α	α	X
ejpam-6372	160	66	=	=	SYM
ejpam-6372	160	67	maxi{µσ(r	maxi{µσ(r	NOUN
ejpam-6372	160	68	)	)	PUNCT
ejpam-6372	160	69	:	:	PUNCT
ejpam-6372	161	1	x	x	X
ejpam-6372	161	2	∈	∈	NOUN
ejpam-6372	161	3	v	v	NOUN
ejpam-6372	161	4	}	}	PUNCT
ejpam-6372	161	5	and	and	CCONJ
ejpam-6372	161	6	also	also	ADV
ejpam-6372	161	7	β	β	NOUN
ejpam-6372	161	8	=	=	SYM
ejpam-6372	161	9	maxi{γσ(r	maxi{γσ(r	NOUN
ejpam-6372	161	10	)	)	PUNCT
ejpam-6372	161	11	:	:	PUNCT
ejpam-6372	162	1	x	x	X
ejpam-6372	162	2	∈	∈	NOUN
ejpam-6372	162	3	v	v	X
ejpam-6372	162	4	}	}	PUNCT
ejpam-6372	162	5	ζp	ζp	PROPN
ejpam-6372	162	6	=	=	PUNCT
ejpam-6372	162	7	(	(	PUNCT
ejpam-6372	162	8	µp	µp	PROPN
ejpam-6372	162	9	,	,	PUNCT
ejpam-6372	162	10	γp	γp	PROPN
ejpam-6372	162	11	)	)	PUNCT
ejpam-6372	163	1	=	=	PRON
ejpam-6372	163	2	(	(	PUNCT
ejpam-6372	163	3	µrs	µrs	PRON
ejpam-6372	164	1	+	+	CCONJ
ejpam-6372	164	2	µuv	µuv	PROPN
ejpam-6372	164	3	2	2	NUM
ejpam-6372	164	4	,	,	PUNCT
ejpam-6372	164	5	γrs	γrs	VERB
ejpam-6372	164	6	+	+	CCONJ
ejpam-6372	164	7	γuv	γuv	X
ejpam-6372	164	8	2	2	NUM
ejpam-6372	164	9	)	)	PUNCT
ejpam-6372	164	10	ζp	ζp	ADV
ejpam-6372	164	11	<	<	X
ejpam-6372	164	12	(	(	PUNCT
ejpam-6372	164	13	α+	α+	NOUN
ejpam-6372	164	14	α	α	NOUN
ejpam-6372	164	15	2	2	NUM
ejpam-6372	164	16	,	,	PUNCT
ejpam-6372	164	17	β	β	X
ejpam-6372	164	18	+	+	X
ejpam-6372	164	19	β	β	X
ejpam-6372	164	20	2	2	NUM
ejpam-6372	164	21	)	)	PUNCT
ejpam-6372	164	22	=	=	SYM
ejpam-6372	164	23	(	(	PUNCT
ejpam-6372	164	24	α	α	X
ejpam-6372	164	25	,	,	PUNCT
ejpam-6372	164	26	β	β	NOUN
ejpam-6372	164	27	)	)	PUNCT
ejpam-6372	164	28	for	for	ADP
ejpam-6372	164	29	{	{	PUNCT
ejpam-6372	164	30	i	i	NOUN
ejpam-6372	164	31	=	=	NOUN
ejpam-6372	164	32	1	1	NUM
ejpam-6372	164	33	,	,	PUNCT
ejpam-6372	164	34	2	2	NUM
ejpam-6372	164	35	,	,	PUNCT
ejpam-6372	164	36	.	.	PUNCT
ejpam-6372	164	37	.	.	PUNCT
ejpam-6372	165	1	.	.	PUNCT
ejpam-6372	166	1	,	,	PUNCT
ejpam-6372	166	2	k	k	X
ejpam-6372	166	3	}	}	PUNCT
ejpam-6372	166	4	and	and	CCONJ
ejpam-6372	166	5	j	j	PROPN
ejpam-6372	166	6	=	=	PRON
ejpam-6372	166	7	{	{	PUNCT
ejpam-6372	166	8	j	j	PROPN
ejpam-6372	166	9	=	=	SYM
ejpam-6372	166	10	0	0	NUM
ejpam-6372	166	11	,	,	PUNCT
ejpam-6372	166	12	1	1	NUM
ejpam-6372	166	13	,	,	PUNCT
ejpam-6372	166	14	2	2	NUM
ejpam-6372	166	15	,	,	PUNCT
ejpam-6372	166	16	.	.	PUNCT
ejpam-6372	166	17	.	.	PUNCT
ejpam-6372	167	1	.	.	PUNCT
ejpam-6372	168	1	,	,	PUNCT
ejpam-6372	168	2	1	1	X
ejpam-6372	168	3	}	}	PUNCT
ejpam-6372	168	4	,	,	PUNCT
ejpam-6372	168	5	given	give	VERB
ejpam-6372	168	6	by	by	ADP
ejpam-6372	168	7	ξ	ξ	PROPN
ejpam-6372	168	8	=	=	SYM
ejpam-6372	168	9	(	(	PUNCT
ejpam-6372	168	10	1	1	NUM
ejpam-6372	168	11	1	1	NUM
ejpam-6372	168	12	+	+	CCONJ
ejpam-6372	168	13	µζ1	µζ1	X
ejpam-6372	168	14	+	+	NOUN
ejpam-6372	168	15	µζ2	µζ2	PROPN
ejpam-6372	168	16	+	+	X
ejpam-6372	168	17	·	·	PUNCT
ejpam-6372	168	18	·	·	PUNCT
ejpam-6372	168	19	·	·	PUNCT
ejpam-6372	168	20	+	+	NUM
ejpam-6372	168	21	µζk	µζk	NOUN
ejpam-6372	168	22	,	,	PUNCT
ejpam-6372	168	23	1	1	NUM
ejpam-6372	168	24	1	1	NUM
ejpam-6372	168	25	+	+	NUM
ejpam-6372	168	26	γζ1	γζ1	NOUN
ejpam-6372	168	27	+	+	CCONJ
ejpam-6372	168	28	γζ2	γζ2	NOUN
ejpam-6372	168	29	+	+	CCONJ
ejpam-6372	168	30	·	·	PUNCT
ejpam-6372	168	31	·	·	PUNCT
ejpam-6372	168	32	·	·	PUNCT
ejpam-6372	168	33	+	+	NUM
ejpam-6372	168	34	γζl	γζl	NOUN
ejpam-6372	168	35	)	)	PUNCT
ejpam-6372	168	36	ξ	ξ	X
ejpam-6372	168	37	>	>	X
ejpam-6372	168	38	(	(	PUNCT
ejpam-6372	168	39	1	1	NUM
ejpam-6372	168	40	1	1	NUM
ejpam-6372	168	41	+	+	CCONJ
ejpam-6372	168	42	kα	kα	PROPN
ejpam-6372	168	43	,	,	PUNCT
ejpam-6372	168	44	1	1	NUM
ejpam-6372	168	45	1	1	NUM
ejpam-6372	168	46	+	+	NUM
ejpam-6372	168	47	lβ	lβ	ADJ
ejpam-6372	168	48	)	)	PUNCT
ejpam-6372	168	49	definition	definition	NOUN
ejpam-6372	168	50	8	8	NUM
ejpam-6372	168	51	.	.	PUNCT
ejpam-6372	168	52	let	let	VERB
ejpam-6372	168	53	g	g	PROPN
ejpam-6372	168	54	=	=	SYM
ejpam-6372	168	55	(	(	PUNCT
ejpam-6372	168	56	m	m	PROPN
ejpam-6372	168	57	,	,	PUNCT
ejpam-6372	168	58	n	n	CCONJ
ejpam-6372	168	59	)	)	PUNCT
ejpam-6372	168	60	be	be	AUX
ejpam-6372	168	61	an	an	DET
ejpam-6372	168	62	intuitionistic	intuitionistic	ADJ
ejpam-6372	168	63	pythagorean	pythagorean	ADJ
ejpam-6372	168	64	fuzzy	fuzzy	ADJ
ejpam-6372	168	65	graph	graph	NOUN
ejpam-6372	168	66	with	with	ADP
ejpam-6372	168	67	a	a	DET
ejpam-6372	168	68	sure	sure	ADJ
ejpam-6372	168	69	geometric	geometric	ADJ
ejpam-6372	168	70	picture	picture	NOUN
ejpam-6372	168	71	which	which	PRON
ejpam-6372	168	72	have	have	VERB
ejpam-6372	168	73	the	the	DET
ejpam-6372	168	74	crossing	crossing	NOUN
ejpam-6372	168	75	points	point	NOUN
ejpam-6372	168	76	p1	p1	NOUN
ejpam-6372	168	77	,	,	PUNCT
ejpam-6372	168	78	p2	p2	NOUN
ejpam-6372	168	79	,	,	PUNCT
ejpam-6372	168	80	.	.	PUNCT
ejpam-6372	168	81	.	.	PUNCT
ejpam-6372	169	1	.	.	PUNCT
ejpam-6372	170	1	,	,	PUNCT
ejpam-6372	170	2	pn	pn	VERB
ejpam-6372	170	3	so	so	SCONJ
ejpam-6372	170	4	that	that	SCONJ
ejpam-6372	170	5	m	m	VERB
ejpam-6372	170	6	of	of	ADP
ejpam-6372	170	7	these	these	DET
ejpam-6372	170	8	crossing	crossing	NOUN
ejpam-6372	170	9	points	point	NOUN
ejpam-6372	170	10	gratifies	gratify	VERB
ejpam-6372	170	11	that	that	SCONJ
ejpam-6372	170	12	ζp	ζp	ADV
ejpam-6372	170	13	=	=	X
ejpam-6372	170	14	(	(	PUNCT
ejpam-6372	170	15	µp	µp	PROPN
ejpam-6372	170	16	,	,	PUNCT
ejpam-6372	170	17	γp	γp	PROPN
ejpam-6372	170	18	)	)	PUNCT
ejpam-6372	170	19	≥	≥	NOUN
ejpam-6372	170	20	0.5	0.5	NUM
ejpam-6372	170	21	,	,	PUNCT
ejpam-6372	170	22	for	for	ADP
ejpam-6372	170	23	i	i	PRON
ejpam-6372	170	24	=	=	SYM
ejpam-6372	170	25	(	(	PUNCT
ejpam-6372	170	26	0	0	NUM
ejpam-6372	170	27	,	,	PUNCT
ejpam-6372	170	28	1	1	NUM
ejpam-6372	170	29	,	,	PUNCT
ejpam-6372	170	30	2	2	NUM
ejpam-6372	170	31	,	,	PUNCT
ejpam-6372	170	32	.	.	PUNCT
ejpam-6372	170	33	.	.	PUNCT
ejpam-6372	170	34	.	.	PUNCT
ejpam-6372	171	1	,	,	PUNCT
ejpam-6372	171	2	k	k	X
ejpam-6372	171	3	)	)	PUNCT
ejpam-6372	171	4	and	and	CCONJ
ejpam-6372	171	5	j	j	PROPN
ejpam-6372	171	6	=	=	SYM
ejpam-6372	171	7	(	(	PUNCT
ejpam-6372	171	8	0	0	NUM
ejpam-6372	171	9	,	,	PUNCT
ejpam-6372	171	10	1	1	NUM
ejpam-6372	171	11	,	,	PUNCT
ejpam-6372	171	12	2	2	NUM
ejpam-6372	171	13	,	,	PUNCT
ejpam-6372	171	14	.	.	PUNCT
ejpam-6372	171	15	.	.	PUNCT
ejpam-6372	171	16	.	.	PUNCT
ejpam-6372	172	1	,	,	PUNCT
ejpam-6372	172	2	l	l	NOUN
ejpam-6372	172	3	)	)	PUNCT
ejpam-6372	172	4	then	then	ADV
ejpam-6372	172	5	said	say	VERB
ejpam-6372	172	6	geometric	geometric	ADJ
ejpam-6372	172	7	picture	picture	NOUN
ejpam-6372	172	8	of	of	ADP
ejpam-6372	172	9	g	g	PROPN
ejpam-6372	172	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	172	11	pythagorean	pythagorean	ADJ
ejpam-6372	172	12	fuzzy	fuzzy	ADJ
ejpam-6372	172	13	diagram	diagram	NOUN
ejpam-6372	172	14	if	if	SCONJ
ejpam-6372	172	15	ξ	ξ	X
ejpam-6372	172	16	=	=	SYM
ejpam-6372	172	17	(	(	PUNCT
ejpam-6372	172	18	ξµ	ξµ	NOUN
ejpam-6372	172	19	,	,	PUNCT
ejpam-6372	172	20	ξγ	ξγ	VERB
ejpam-6372	172	21	)	)	PUNCT
ejpam-6372	172	22	>	>	PUNCT
ejpam-6372	173	1	(	(	PUNCT
ejpam-6372	173	2	0.5	0.5	NUM
ejpam-6372	173	3	,	,	PUNCT
ejpam-6372	173	4	0.5	0.5	NUM
ejpam-6372	173	5	)	)	PUNCT
ejpam-6372	173	6	&	&	CCONJ
ejpam-6372	173	7	m	m	PROPN
ejpam-6372	173	8	<	<	X
ejpam-6372	173	9	n	n	PROPN
ejpam-6372	173	10	2	2	NUM
ejpam-6372	173	11	this	this	PRON
ejpam-6372	173	12	indicates	indicate	VERB
ejpam-6372	173	13	that	that	SCONJ
ejpam-6372	173	14	an	an	DET
ejpam-6372	173	15	intuitionistic	intuitionistic	ADJ
ejpam-6372	173	16	pythagorean	pythagorean	ADJ
ejpam-6372	173	17	fuzzy	fuzzy	ADJ
ejpam-6372	173	18	graph	graph	NOUN
ejpam-6372	173	19	is	be	AUX
ejpam-6372	173	20	the	the	DET
ejpam-6372	173	21	appropriate	appropriate	ADJ
ejpam-6372	173	22	geometric	geometric	ADJ
ejpam-6372	173	23	representation	representation	NOUN
ejpam-6372	173	24	of	of	ADP
ejpam-6372	173	25	g	g	PROPN
ejpam-6372	173	26	if	if	SCONJ
ejpam-6372	173	27	the	the	DET
ejpam-6372	173	28	crossing	crossing	NOUN
ejpam-6372	173	29	points	point	NOUN
ejpam-6372	173	30	that	that	PRON
ejpam-6372	173	31	satisfy	satisfy	VERB
ejpam-6372	173	32	zetap	zetap	PROPN
ejpam-6372	173	33	≥	≥	NUM
ejpam-6372	173	34	0.5	0.5	NUM
ejpam-6372	173	35	are	be	AUX
ejpam-6372	173	36	fewer	few	ADJ
ejpam-6372	173	37	than	than	ADP
ejpam-6372	173	38	half	half	NOUN
ejpam-6372	173	39	of	of	ADP
ejpam-6372	173	40	the	the	DET
ejpam-6372	173	41	entire	entire	ADJ
ejpam-6372	173	42	number	number	NOUN
ejpam-6372	173	43	of	of	ADP
ejpam-6372	173	44	crossing	cross	VERB
ejpam-6372	173	45	arguments	argument	NOUN
ejpam-6372	173	46	n	n	PRON
ejpam-6372	173	47	and	and	CCONJ
ejpam-6372	173	48	the	the	DET
ejpam-6372	173	49	intuitionistic	intuitionistic	ADJ
ejpam-6372	173	50	pythagorean	pythagorean	ADJ
ejpam-6372	173	51	fuzzy	fuzzy	ADJ
ejpam-6372	173	52	graph	graph	NOUN
ejpam-6372	173	53	planarity	planarity	NOUN
ejpam-6372	173	54	rate	rate	NOUN
ejpam-6372	173	55	is	be	AUX
ejpam-6372	173	56	greater	great	ADJ
ejpam-6372	173	57	than	than	ADP
ejpam-6372	173	58	0.5	0.5	NUM
ejpam-6372	173	59	.	.	PUNCT
ejpam-6372	174	1	in	in	ADP
ejpam-6372	174	2	this	this	DET
ejpam-6372	174	3	case	case	NOUN
ejpam-6372	174	4	,	,	PUNCT
ejpam-6372	174	5	this	this	DET
ejpam-6372	174	6	symmetrical	symmetrical	ADJ
ejpam-6372	174	7	representation	representation	NOUN
ejpam-6372	174	8	of	of	ADP
ejpam-6372	174	9	g	g	PROPN
ejpam-6372	174	10	is	be	AUX
ejpam-6372	174	11	referred	refer	VERB
ejpam-6372	174	12	to	to	ADP
ejpam-6372	174	13	as	as	ADP
ejpam-6372	174	14	an	an	DET
ejpam-6372	174	15	intuitionistic	intuitionistic	ADJ
ejpam-6372	174	16	pythagorean	pythagorean	ADJ
ejpam-6372	174	17	uncertain	uncertain	ADJ
ejpam-6372	174	18	weak	weak	ADJ
ejpam-6372	174	19	planar	planar	ADJ
ejpam-6372	174	20	diagram	diagram	NOUN
ejpam-6372	174	21	.	.	PUNCT
ejpam-6372	175	1	obbu	obbu	PROPN
ejpam-6372	175	2	ramesh	ramesh	PROPN
ejpam-6372	175	3	et.al	et.al	PROPN
ejpam-6372	175	4	/	/	SYM
ejpam-6372	175	5	eur	eur	PROPN
ejpam-6372	175	6	.	.	PUNCT
ejpam-6372	176	1	j.	j.	PROPN
ejpam-6372	176	2	pure	pure	PROPN
ejpam-6372	176	3	appl	appl	PROPN
ejpam-6372	176	4	.	.	PROPN
ejpam-6372	176	5	math	math	PROPN
ejpam-6372	176	6	,	,	PUNCT
ejpam-6372	176	7	18	18	NUM
ejpam-6372	176	8	(	(	PUNCT
ejpam-6372	176	9	3	3	NUM
ejpam-6372	176	10	)	)	PUNCT
ejpam-6372	176	11	(	(	PUNCT
ejpam-6372	176	12	2025	2025	NUM
ejpam-6372	176	13	)	)	PUNCT
ejpam-6372	176	14	,	,	PUNCT
ejpam-6372	176	15	6372	6372	NUM
ejpam-6372	176	16	10	10	NUM
ejpam-6372	176	17	of	of	ADP
ejpam-6372	176	18	17	17	NUM
ejpam-6372	176	19	example	example	NOUN
ejpam-6372	176	20	2	2	NUM
ejpam-6372	176	21	.	.	PUNCT
ejpam-6372	177	1	let	let	VERB
ejpam-6372	177	2	g	g	PROPN
ejpam-6372	177	3	=	=	SYM
ejpam-6372	177	4	(	(	PUNCT
ejpam-6372	177	5	m	m	PROPN
ejpam-6372	177	6	,	,	PUNCT
ejpam-6372	177	7	n	n	CCONJ
ejpam-6372	177	8	)	)	PUNCT
ejpam-6372	177	9	be	be	AUX
ejpam-6372	177	10	an	an	DET
ejpam-6372	177	11	intuitionistic	intuitionistic	ADJ
ejpam-6372	177	12	pythagorean	pythagorean	ADJ
ejpam-6372	177	13	fuzzy	fuzzy	ADJ
ejpam-6372	177	14	diagram	diagram	NOUN
ejpam-6372	177	15	denoted	denote	VERB
ejpam-6372	177	16	in	in	ADP
ejpam-6372	177	17	a	a	DET
ejpam-6372	177	18	symmetrical	symmetrical	ADJ
ejpam-6372	177	19	representation	representation	NOUN
ejpam-6372	177	20	presented	present	VERB
ejpam-6372	177	21	in	in	ADP
ejpam-6372	177	22	figure	figure	NOUN
ejpam-6372	177	23	3	3	NUM
ejpam-6372	177	24	below	below	ADP
ejpam-6372	177	25	figure	figure	NOUN
ejpam-6372	177	26	3	3	NUM
ejpam-6372	177	27	:	:	PUNCT
ejpam-6372	177	28	ipfg	ipfg	ADJ
ejpam-6372	177	29	in	in	ADP
ejpam-6372	177	30	the	the	DET
ejpam-6372	177	31	figure	figure	NOUN
ejpam-6372	177	32	3	3	NUM
ejpam-6372	177	33	,	,	PUNCT
ejpam-6372	177	34	there	there	ADV
ejpam-6372	177	35	two	two	NUM
ejpam-6372	177	36	crossing	crossing	NOUN
ejpam-6372	177	37	point	point	NOUN
ejpam-6372	177	38	’	'	PUNCT
ejpam-6372	177	39	p1	p1	NOUN
ejpam-6372	177	40	and	and	CCONJ
ejpam-6372	177	41	p2’and	p2’and	VERB
ejpam-6372	177	42	their	their	PRON
ejpam-6372	177	43	crossing	crossing	NOUN
ejpam-6372	177	44	values	value	NOUN
ejpam-6372	177	45	are	be	AUX
ejpam-6372	177	46	given	give	VERB
ejpam-6372	177	47	below	below	ADV
ejpam-6372	177	48	:	:	PUNCT
ejpam-6372	177	49	ζp1	ζp1	NOUN
ejpam-6372	177	50	=	=	PUNCT
ejpam-6372	177	51	(	(	PUNCT
ejpam-6372	177	52	0.4	0.4	NUM
ejpam-6372	177	53	+	+	CCONJ
ejpam-6372	177	54	0.3	0.3	NUM
ejpam-6372	177	55	2	2	NUM
ejpam-6372	177	56	,	,	PUNCT
ejpam-6372	177	57	0.4	0.4	NUM
ejpam-6372	177	58	+	+	CCONJ
ejpam-6372	177	59	0.1	0.1	NUM
ejpam-6372	177	60	2	2	NUM
ejpam-6372	177	61	)	)	PUNCT
ejpam-6372	178	1	=	=	SYM
ejpam-6372	178	2	(	(	PUNCT
ejpam-6372	178	3	0.35	0.35	NUM
ejpam-6372	178	4	,	,	PUNCT
ejpam-6372	178	5	0.25	0.25	NUM
ejpam-6372	178	6	)	)	PUNCT
ejpam-6372	178	7	and	and	CCONJ
ejpam-6372	178	8	ζp2	ζp2	NOUN
ejpam-6372	178	9	=	=	PUNCT
ejpam-6372	178	10	(	(	PUNCT
ejpam-6372	178	11	0.8	0.8	NUM
ejpam-6372	178	12	+	+	NUM
ejpam-6372	178	13	0.7	0.7	NUM
ejpam-6372	178	14	2	2	NUM
ejpam-6372	178	15	,	,	PUNCT
ejpam-6372	178	16	0.2	0.2	NUM
ejpam-6372	178	17	+	+	CCONJ
ejpam-6372	178	18	0.2	0.2	NUM
ejpam-6372	178	19	2	2	NUM
ejpam-6372	178	20	)	)	PUNCT
ejpam-6372	178	21	=	=	SYM
ejpam-6372	178	22	(	(	PUNCT
ejpam-6372	178	23	0.75	0.75	NUM
ejpam-6372	178	24	,	,	PUNCT
ejpam-6372	178	25	0.2	0.2	NUM
ejpam-6372	178	26	)	)	PUNCT
ejpam-6372	179	1	so	so	ADV
ejpam-6372	179	2	,	,	PUNCT
ejpam-6372	179	3	the	the	DET
ejpam-6372	179	4	inutionistic	inutionistic	ADJ
ejpam-6372	179	5	pythagorean	pythagorean	ADJ
ejpam-6372	179	6	uncertain	uncertain	ADJ
ejpam-6372	179	7	planarity	planarity	NOUN
ejpam-6372	179	8	rate	rate	NOUN
ejpam-6372	179	9	of	of	ADP
ejpam-6372	179	10	this	this	DET
ejpam-6372	179	11	geometric	geometric	ADJ
ejpam-6372	179	12	representation	representation	NOUN
ejpam-6372	179	13	of	of	ADP
ejpam-6372	179	14	g	g	PROPN
ejpam-6372	179	15	ξ	ξ	PROPN
ejpam-6372	179	16	=	=	SYM
ejpam-6372	179	17	(	(	PUNCT
ejpam-6372	179	18	ξµ	ξµ	NOUN
ejpam-6372	179	19	,	,	PUNCT
ejpam-6372	179	20	ξγ	ξγ	VERB
ejpam-6372	179	21	)	)	PUNCT
ejpam-6372	179	22	=	=	SYM
ejpam-6372	180	1	(	(	PUNCT
ejpam-6372	180	2	1	1	NUM
ejpam-6372	180	3	1	1	NUM
ejpam-6372	180	4	+	+	NUM
ejpam-6372	180	5	0.35	0.35	NUM
ejpam-6372	180	6	+	+	CCONJ
ejpam-6372	180	7	0.75	0.75	NUM
ejpam-6372	180	8	,	,	PUNCT
ejpam-6372	180	9	1	1	NUM
ejpam-6372	180	10	1	1	NUM
ejpam-6372	180	11	+	+	CCONJ
ejpam-6372	180	12	0.25	0.25	NUM
ejpam-6372	180	13	+	+	NUM
ejpam-6372	180	14	0.2	0.2	NUM
ejpam-6372	181	1	)	)	PUNCT
ejpam-6372	181	2	ξ	ξ	X
ejpam-6372	181	3	=	=	SYM
ejpam-6372	181	4	(	(	PUNCT
ejpam-6372	181	5	0.48	0.48	NUM
ejpam-6372	181	6	,	,	PUNCT
ejpam-6372	181	7	0.69	0.69	NUM
ejpam-6372	181	8	)	)	PUNCT
ejpam-6372	181	9	therefore	therefore	ADV
ejpam-6372	181	10	,	,	PUNCT
ejpam-6372	181	11	the	the	DET
ejpam-6372	181	12	weak	weak	ADJ
ejpam-6372	181	13	planar	planar	ADJ
ejpam-6372	181	14	from	from	ADP
ejpam-6372	181	15	the	the	DET
ejpam-6372	181	16	geometric	geometric	ADJ
ejpam-6372	181	17	representation	representation	NOUN
ejpam-6372	181	18	gi	gi	NOUN
ejpam-6372	181	19	based	base	VERB
ejpam-6372	181	20	on	on	ADP
ejpam-6372	181	21	membership	membership	NOUN
ejpam-6372	181	22	planarity	planarity	NOUN
ejpam-6372	181	23	value	value	NOUN
ejpam-6372	181	24	and	and	CCONJ
ejpam-6372	181	25	non	non	ADJ
ejpam-6372	181	26	-	-	ADJ
ejpam-6372	181	27	membership	membership	ADJ
ejpam-6372	181	28	planarity	planarity	NOUN
ejpam-6372	181	29	value	value	NOUN
ejpam-6372	181	30	.	.	PUNCT
ejpam-6372	182	1	already	already	ADV
ejpam-6372	182	2	,	,	PUNCT
ejpam-6372	182	3	if	if	SCONJ
ejpam-6372	182	4	ξγ(=	ξγ(=	NOUN
ejpam-6372	182	5	0.69	0.69	NUM
ejpam-6372	182	6	)	)	PUNCT
ejpam-6372	182	7	>	>	X
ejpam-6372	183	1	0.5	0.5	NUM
ejpam-6372	183	2	,	,	PUNCT
ejpam-6372	183	3	so	so	CCONJ
ejpam-6372	183	4	the	the	DET
ejpam-6372	183	5	geometric	geometric	ADJ
ejpam-6372	183	6	illustration	illustration	NOUN
ejpam-6372	183	7	of	of	ADP
ejpam-6372	183	8	g	g	PROPN
ejpam-6372	183	9	is	be	AUX
ejpam-6372	183	10	weak	weak	ADJ
ejpam-6372	183	11	planar	planar	ADJ
ejpam-6372	183	12	since	since	SCONJ
ejpam-6372	183	13	the	the	DET
ejpam-6372	183	14	formula	formula	NOUN
ejpam-6372	183	15	m	m	VERB
ejpam-6372	183	16	<	<	X
ejpam-6372	183	17	n	n	DET
ejpam-6372	183	18	2	2	NUM
ejpam-6372	183	19	is	be	AUX
ejpam-6372	183	20	not	not	PART
ejpam-6372	183	21	satisfied	satisfied	ADJ
ejpam-6372	183	22	.	.	PUNCT
ejpam-6372	184	1	theorem	theorem	VERB
ejpam-6372	184	2	4	4	NUM
ejpam-6372	184	3	.	.	PUNCT
ejpam-6372	185	1	if	if	SCONJ
ejpam-6372	185	2	g	g	PROPN
ejpam-6372	185	3	be	be	VERB
ejpam-6372	185	4	an	an	DET
ejpam-6372	185	5	intuitionistic	intuitionistic	ADJ
ejpam-6372	185	6	pythagorean	pythagorean	ADJ
ejpam-6372	185	7	fuzzy	fuzzy	ADJ
ejpam-6372	185	8	graph	graph	NOUN
ejpam-6372	185	9	with	with	ADP
ejpam-6372	185	10	geometric	geometric	ADJ
ejpam-6372	185	11	illustration	illustration	NOUN
ejpam-6372	185	12	which	which	PRON
ejpam-6372	185	13	have	have	VERB
ejpam-6372	185	14	n	n	ADP
ejpam-6372	185	15	crossing	cross	VERB
ejpam-6372	185	16	points	point	NOUN
ejpam-6372	185	17	satisfy	satisfy	NOUN
ejpam-6372	185	18	that	that	PRON
ejpam-6372	185	19	ζpi	ζpi	PROPN
ejpam-6372	185	20	<	<	X
ejpam-6372	185	21	0.5	0.5	NUM
ejpam-6372	185	22	,	,	PUNCT
ejpam-6372	185	23	for	for	ADP
ejpam-6372	185	24	all	all	DET
ejpam-6372	185	25	values	value	NOUN
ejpam-6372	185	26	of	of	ADP
ejpam-6372	185	27	i	i	PRON
ejpam-6372	185	28	=	=	NOUN
ejpam-6372	185	29	1	1	NUM
ejpam-6372	185	30	,	,	PUNCT
ejpam-6372	185	31	2	2	NUM
ejpam-6372	185	32	,	,	PUNCT
ejpam-6372	185	33	.	.	PUNCT
ejpam-6372	186	1	.	.	PUNCT
ejpam-6372	187	1	.	.	PUNCT
ejpam-6372	188	1	,	,	PUNCT
ejpam-6372	188	2	n	n	CCONJ
ejpam-6372	188	3	,	,	PUNCT
ejpam-6372	188	4	then	then	ADV
ejpam-6372	188	5	ξ	ξ	X
ejpam-6372	188	6	=	=	SYM
ejpam-6372	188	7	(	(	PUNCT
ejpam-6372	188	8	ξµ	ξµ	NOUN
ejpam-6372	188	9	,	,	PUNCT
ejpam-6372	188	10	ξγ	ξγ	VERB
ejpam-6372	188	11	)	)	PUNCT
ejpam-6372	188	12	>	>	PUNCT
ejpam-6372	189	1	(	(	PUNCT
ejpam-6372	189	2	2	2	NUM
ejpam-6372	189	3	2	2	NUM
ejpam-6372	189	4	+	+	CCONJ
ejpam-6372	189	5	n	n	CCONJ
ejpam-6372	189	6	,	,	PUNCT
ejpam-6372	189	7	2	2	NUM
ejpam-6372	189	8	2	2	NUM
ejpam-6372	189	9	+	+	NUM
ejpam-6372	189	10	n	n	CCONJ
ejpam-6372	189	11	)	)	PUNCT
ejpam-6372	189	12	proof	proof	NOUN
ejpam-6372	189	13	.	.	PUNCT
ejpam-6372	190	1	meanwhile	meanwhile	ADV
ejpam-6372	190	2	ζpi	ζpi	VERB
ejpam-6372	190	3	<	<	X
ejpam-6372	190	4	0.5	0.5	NUM
ejpam-6372	190	5	for	for	ADP
ejpam-6372	190	6	i	i	PRON
ejpam-6372	190	7	=	=	NOUN
ejpam-6372	190	8	1	1	NUM
ejpam-6372	190	9	,	,	PUNCT
ejpam-6372	190	10	2	2	NUM
ejpam-6372	190	11	,	,	PUNCT
ejpam-6372	190	12	.	.	PUNCT
ejpam-6372	190	13	.	.	PUNCT
ejpam-6372	191	1	.	.	PUNCT
ejpam-6372	192	1	,	,	PUNCT
ejpam-6372	192	2	n	n	CCONJ
ejpam-6372	192	3	it	it	PRON
ejpam-6372	192	4	is	be	AUX
ejpam-6372	192	5	given	give	VERB
ejpam-6372	192	6	by	by	ADP
ejpam-6372	192	7	1	1	NUM
ejpam-6372	192	8	+	+	NUM
ejpam-6372	192	9	µζ1	µζ1	X
ejpam-6372	192	10	+	+	NOUN
ejpam-6372	192	11	µζ2	µζ2	PROPN
ejpam-6372	192	12	+	+	X
ejpam-6372	192	13	·	·	PUNCT
ejpam-6372	192	14	·	·	PUNCT
ejpam-6372	192	15	·	·	PUNCT
ejpam-6372	193	1	+	+	CCONJ
ejpam-6372	193	2	µζn	µζn	PROPN
ejpam-6372	193	3	<	<	X
ejpam-6372	193	4	(	(	PUNCT
ejpam-6372	193	5	0.5)n	0.5)n	NOUN
ejpam-6372	193	6	and	and	CCONJ
ejpam-6372	193	7	1	1	NUM
ejpam-6372	193	8	+	+	CCONJ
ejpam-6372	193	9	γζ1	γζ1	NOUN
ejpam-6372	193	10	+	+	CCONJ
ejpam-6372	193	11	γζ2	γζ2	NOUN
ejpam-6372	193	12	+	+	CCONJ
ejpam-6372	193	13	·	·	PUNCT
ejpam-6372	193	14	·	·	PUNCT
ejpam-6372	193	15	·	·	PUNCT
ejpam-6372	193	16	+	+	NUM
ejpam-6372	193	17	γζn	γζn	NOUN
ejpam-6372	193	18	<	<	X
ejpam-6372	193	19	(	(	PUNCT
ejpam-6372	193	20	0.5)n	0.5)n	NOUN
ejpam-6372	193	21	ξ	ξ	X
ejpam-6372	193	22	=	=	PUNCT
ejpam-6372	193	23	(	(	PUNCT
ejpam-6372	193	24	1	1	NUM
ejpam-6372	193	25	1	1	NUM
ejpam-6372	193	26	+	+	CCONJ
ejpam-6372	193	27	µζ1	µζ1	X
ejpam-6372	193	28	+	+	NOUN
ejpam-6372	193	29	µζ2	µζ2	PROPN
ejpam-6372	193	30	+	+	X
ejpam-6372	193	31	·	·	PUNCT
ejpam-6372	193	32	·	·	PUNCT
ejpam-6372	193	33	·	·	PUNCT
ejpam-6372	193	34	+	+	NUM
ejpam-6372	193	35	µζn	µζn	NOUN
ejpam-6372	193	36	,	,	PUNCT
ejpam-6372	193	37	1	1	NUM
ejpam-6372	193	38	1	1	NUM
ejpam-6372	193	39	+	+	NUM
ejpam-6372	193	40	γζ1	γζ1	NOUN
ejpam-6372	193	41	+	+	CCONJ
ejpam-6372	193	42	γζ2	γζ2	NOUN
ejpam-6372	193	43	+	+	CCONJ
ejpam-6372	193	44	·	·	PUNCT
ejpam-6372	193	45	·	·	PUNCT
ejpam-6372	193	46	·	·	PUNCT
ejpam-6372	193	47	+	+	NUM
ejpam-6372	193	48	γζn	γζn	NOUN
ejpam-6372	193	49	)	)	PUNCT
ejpam-6372	194	1	ξ	ξ	X
ejpam-6372	194	2	=	=	SYM
ejpam-6372	194	3	(	(	PUNCT
ejpam-6372	194	4	ξµ	ξµ	NOUN
ejpam-6372	194	5	,	,	PUNCT
ejpam-6372	194	6	ξγ	ξγ	VERB
ejpam-6372	194	7	)	)	PUNCT
ejpam-6372	194	8	>	>	PUNCT
ejpam-6372	195	1	(	(	PUNCT
ejpam-6372	195	2	1	1	NUM
ejpam-6372	195	3	1	1	NUM
ejpam-6372	195	4	+	+	CCONJ
ejpam-6372	195	5	0.5n	0.5n	NUM
ejpam-6372	195	6	,	,	PUNCT
ejpam-6372	195	7	1	1	NUM
ejpam-6372	195	8	1	1	NUM
ejpam-6372	195	9	+	+	NUM
ejpam-6372	195	10	0.5n	0.5n	NUM
ejpam-6372	195	11	)	)	PUNCT
ejpam-6372	195	12	obbu	obbu	PROPN
ejpam-6372	195	13	ramesh	ramesh	PROPN
ejpam-6372	195	14	et.al	et.al	PROPN
ejpam-6372	195	15	/	/	SYM
ejpam-6372	195	16	eur	eur	PROPN
ejpam-6372	195	17	.	.	PUNCT
ejpam-6372	196	1	j.	j.	PROPN
ejpam-6372	196	2	pure	pure	PROPN
ejpam-6372	196	3	appl	appl	PROPN
ejpam-6372	196	4	.	.	PROPN
ejpam-6372	196	5	math	math	PROPN
ejpam-6372	196	6	,	,	PUNCT
ejpam-6372	196	7	18	18	NUM
ejpam-6372	196	8	(	(	PUNCT
ejpam-6372	196	9	3	3	NUM
ejpam-6372	196	10	)	)	PUNCT
ejpam-6372	196	11	(	(	PUNCT
ejpam-6372	196	12	2025	2025	NUM
ejpam-6372	196	13	)	)	PUNCT
ejpam-6372	196	14	,	,	PUNCT
ejpam-6372	196	15	6372	6372	NUM
ejpam-6372	196	16	11	11	NUM
ejpam-6372	196	17	of	of	ADP
ejpam-6372	196	18	17	17	NUM
ejpam-6372	196	19	multiplying	multiply	VERB
ejpam-6372	196	20	and	and	CCONJ
ejpam-6372	196	21	dividing	dividing	NOUN
ejpam-6372	196	22	by	by	ADP
ejpam-6372	196	23	’	'	PUNCT
ejpam-6372	196	24	2	2	NUM
ejpam-6372	196	25	’	'	PUNCT
ejpam-6372	196	26	on	on	ADP
ejpam-6372	196	27	the	the	DET
ejpam-6372	196	28	right	right	ADJ
ejpam-6372	196	29	hand	hand	NOUN
ejpam-6372	196	30	side	side	NOUN
ejpam-6372	196	31	,	,	PUNCT
ejpam-6372	196	32	we	we	PRON
ejpam-6372	196	33	get	get	VERB
ejpam-6372	196	34	ξ	ξ	NOUN
ejpam-6372	196	35	=	=	SYM
ejpam-6372	196	36	(	(	PUNCT
ejpam-6372	196	37	ξµ	ξµ	NOUN
ejpam-6372	196	38	,	,	PUNCT
ejpam-6372	196	39	ξγ	ξγ	VERB
ejpam-6372	196	40	)	)	PUNCT
ejpam-6372	196	41	>	>	PUNCT
ejpam-6372	196	42	(	(	PUNCT
ejpam-6372	196	43	1	1	NUM
ejpam-6372	196	44	1	1	NUM
ejpam-6372	196	45	+	+	CCONJ
ejpam-6372	196	46	n	n	NUM
ejpam-6372	196	47	2	2	NUM
ejpam-6372	196	48	,	,	PUNCT
ejpam-6372	196	49	1	1	NUM
ejpam-6372	196	50	1	1	NUM
ejpam-6372	196	51	+	+	CCONJ
ejpam-6372	196	52	n	n	DET
ejpam-6372	196	53	2	2	X
ejpam-6372	196	54	)	)	PUNCT
ejpam-6372	196	55	corollary	corollary	NOUN
ejpam-6372	196	56	1	1	NUM
ejpam-6372	196	57	.	.	PUNCT
ejpam-6372	197	1	if	if	SCONJ
ejpam-6372	197	2	g	g	PROPN
ejpam-6372	197	3	be	be	VERB
ejpam-6372	197	4	an	an	DET
ejpam-6372	197	5	intuitionistic	intuitionistic	ADJ
ejpam-6372	197	6	pythagorean	pythagorean	ADJ
ejpam-6372	197	7	fuzzy	fuzzy	ADJ
ejpam-6372	197	8	graph	graph	NOUN
ejpam-6372	197	9	with	with	ADP
ejpam-6372	197	10	geometric	geometric	ADJ
ejpam-6372	197	11	illustration	illustration	NOUN
ejpam-6372	197	12	which	which	PRON
ejpam-6372	197	13	have	have	VERB
ejpam-6372	197	14	1	1	NUM
ejpam-6372	197	15	or	or	CCONJ
ejpam-6372	197	16	2	2	NUM
ejpam-6372	197	17	crossing	crossing	NOUN
ejpam-6372	197	18	points	point	NOUN
ejpam-6372	197	19	gives	give	VERB
ejpam-6372	197	20	that	that	DET
ejpam-6372	197	21	ζpi	ζpi	NOUN
ejpam-6372	197	22	<	<	X
ejpam-6372	197	23	0.5	0.5	NUM
ejpam-6372	197	24	for	for	ADP
ejpam-6372	197	25	all	all	DET
ejpam-6372	197	26	crossing	crossing	NOUN
ejpam-6372	197	27	points	point	NOUN
ejpam-6372	197	28	,	,	PUNCT
ejpam-6372	197	29	then	then	ADV
ejpam-6372	197	30	this	this	DET
ejpam-6372	197	31	geometric	geometric	ADJ
ejpam-6372	197	32	illustration	illustration	NOUN
ejpam-6372	197	33	of	of	ADP
ejpam-6372	197	34	g	g	PROPN
ejpam-6372	197	35	is	be	AUX
ejpam-6372	197	36	an	an	DET
ejpam-6372	197	37	intuitionistic	intuitionistic	ADJ
ejpam-6372	197	38	pythagorean	pythagorean	ADJ
ejpam-6372	197	39	fuzzy	fuzzy	ADJ
ejpam-6372	197	40	strong	strong	ADJ
ejpam-6372	197	41	planar	planar	ADJ
ejpam-6372	197	42	graph	graph	NOUN
ejpam-6372	197	43	.	.	PUNCT
ejpam-6372	198	1	proof	proof	NOUN
ejpam-6372	198	2	.	.	PUNCT
ejpam-6372	199	1	redering	redere	VERB
ejpam-6372	199	2	to	to	ADP
ejpam-6372	199	3	theorem	theorem	VERB
ejpam-6372	199	4	4	4	NUM
ejpam-6372	199	5	,	,	PUNCT
ejpam-6372	199	6	then	then	ADV
ejpam-6372	199	7	ξ	ξ	X
ejpam-6372	199	8	=	=	SYM
ejpam-6372	199	9	(	(	PUNCT
ejpam-6372	199	10	ξµ	ξµ	NOUN
ejpam-6372	199	11	,	,	PUNCT
ejpam-6372	199	12	ξγ	ξγ	VERB
ejpam-6372	199	13	)	)	PUNCT
ejpam-6372	199	14	>	>	PUNCT
ejpam-6372	200	1	(	(	PUNCT
ejpam-6372	200	2	2	2	NUM
ejpam-6372	200	3	2	2	NUM
ejpam-6372	200	4	+	+	CCONJ
ejpam-6372	200	5	n	n	CCONJ
ejpam-6372	200	6	,	,	PUNCT
ejpam-6372	200	7	2	2	NUM
ejpam-6372	200	8	2	2	NUM
ejpam-6372	200	9	+	+	NUM
ejpam-6372	200	10	n	n	CCONJ
ejpam-6372	200	11	)	)	PUNCT
ejpam-6372	200	12	for	for	ADP
ejpam-6372	200	13	n=1	n=1	PROPN
ejpam-6372	200	14	,	,	PUNCT
ejpam-6372	200	15	ξ	ξ	X
ejpam-6372	200	16	=	=	SYM
ejpam-6372	200	17	(	(	PUNCT
ejpam-6372	200	18	ξµ	ξµ	NOUN
ejpam-6372	200	19	,	,	PUNCT
ejpam-6372	200	20	ξγ	ξγ	VERB
ejpam-6372	200	21	)	)	PUNCT
ejpam-6372	200	22	>	>	PUNCT
ejpam-6372	201	1	(	(	PUNCT
ejpam-6372	201	2	2	2	NUM
ejpam-6372	201	3	2	2	NUM
ejpam-6372	201	4	+	+	NUM
ejpam-6372	201	5	1	1	NUM
ejpam-6372	201	6	,	,	PUNCT
ejpam-6372	201	7	2	2	NUM
ejpam-6372	201	8	2	2	NUM
ejpam-6372	201	9	+	+	NUM
ejpam-6372	201	10	1	1	NUM
ejpam-6372	201	11	)	)	PUNCT
ejpam-6372	201	12	ξ	ξ	X
ejpam-6372	201	13	=	=	SYM
ejpam-6372	201	14	(	(	PUNCT
ejpam-6372	201	15	ξµ	ξµ	NOUN
ejpam-6372	201	16	,	,	PUNCT
ejpam-6372	201	17	ξγ	ξγ	VERB
ejpam-6372	201	18	)	)	PUNCT
ejpam-6372	201	19	>	>	PUNCT
ejpam-6372	202	1	(	(	PUNCT
ejpam-6372	202	2	2	2	NUM
ejpam-6372	202	3	3	3	NUM
ejpam-6372	202	4	,	,	PUNCT
ejpam-6372	202	5	2	2	NUM
ejpam-6372	202	6	3	3	NUM
ejpam-6372	202	7	)	)	PUNCT
ejpam-6372	202	8	ξ	ξ	X
ejpam-6372	202	9	=	=	SYM
ejpam-6372	202	10	(	(	PUNCT
ejpam-6372	202	11	ξµ	ξµ	NOUN
ejpam-6372	202	12	,	,	PUNCT
ejpam-6372	202	13	ξγ	ξγ	VERB
ejpam-6372	202	14	)	)	PUNCT
ejpam-6372	202	15	=	=	SYM
ejpam-6372	202	16	(	(	PUNCT
ejpam-6372	202	17	0.66	0.66	NUM
ejpam-6372	202	18	,	,	PUNCT
ejpam-6372	202	19	0.66	0.66	NUM
ejpam-6372	202	20	)	)	PUNCT
ejpam-6372	202	21	for	for	ADP
ejpam-6372	202	22	n=2	n=2	X
ejpam-6372	202	23	,	,	PUNCT
ejpam-6372	202	24	ξ	ξ	X
ejpam-6372	202	25	=	=	SYM
ejpam-6372	202	26	(	(	PUNCT
ejpam-6372	202	27	ξµ	ξµ	NOUN
ejpam-6372	202	28	,	,	PUNCT
ejpam-6372	202	29	ξγ	ξγ	VERB
ejpam-6372	202	30	)	)	PUNCT
ejpam-6372	202	31	>	>	PUNCT
ejpam-6372	203	1	(	(	PUNCT
ejpam-6372	203	2	2	2	NUM
ejpam-6372	203	3	2	2	NUM
ejpam-6372	203	4	+	+	CCONJ
ejpam-6372	203	5	2	2	NUM
ejpam-6372	203	6	,	,	PUNCT
ejpam-6372	203	7	2	2	NUM
ejpam-6372	203	8	2	2	NUM
ejpam-6372	203	9	+	+	NUM
ejpam-6372	203	10	2	2	NUM
ejpam-6372	203	11	)	)	PUNCT
ejpam-6372	203	12	ξ	ξ	X
ejpam-6372	203	13	=	=	SYM
ejpam-6372	203	14	(	(	PUNCT
ejpam-6372	203	15	ξµ	ξµ	NOUN
ejpam-6372	203	16	,	,	PUNCT
ejpam-6372	203	17	ξγ	ξγ	VERB
ejpam-6372	203	18	)	)	PUNCT
ejpam-6372	203	19	>	>	PUNCT
ejpam-6372	204	1	(	(	PUNCT
ejpam-6372	204	2	2	2	NUM
ejpam-6372	204	3	4	4	NUM
ejpam-6372	204	4	,	,	PUNCT
ejpam-6372	204	5	2	2	NUM
ejpam-6372	204	6	4	4	NUM
ejpam-6372	204	7	)	)	PUNCT
ejpam-6372	204	8	ξ	ξ	X
ejpam-6372	204	9	=	=	SYM
ejpam-6372	204	10	(	(	PUNCT
ejpam-6372	204	11	ξµ	ξµ	NOUN
ejpam-6372	204	12	,	,	PUNCT
ejpam-6372	204	13	ξγ	ξγ	VERB
ejpam-6372	204	14	)	)	PUNCT
ejpam-6372	204	15	=	=	SYM
ejpam-6372	204	16	(	(	PUNCT
ejpam-6372	204	17	0.5	0.5	NUM
ejpam-6372	204	18	,	,	PUNCT
ejpam-6372	204	19	0.5	0.5	NUM
ejpam-6372	204	20	)	)	PUNCT
ejpam-6372	205	1	so	so	ADV
ejpam-6372	205	2	,	,	PUNCT
ejpam-6372	205	3	this	this	DET
ejpam-6372	205	4	geometric	geometric	ADJ
ejpam-6372	205	5	representation	representation	NOUN
ejpam-6372	205	6	of	of	ADP
ejpam-6372	205	7	g	g	PROPN
ejpam-6372	205	8	is	be	AUX
ejpam-6372	205	9	an	an	DET
ejpam-6372	205	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	205	11	pythagorean	pythagorean	ADJ
ejpam-6372	205	12	fuzzy	fuzzy	ADJ
ejpam-6372	205	13	strong	strong	ADJ
ejpam-6372	205	14	planar	planar	ADJ
ejpam-6372	205	15	graph	graph	NOUN
ejpam-6372	205	16	.	.	PUNCT
ejpam-6372	206	1	4	4	X
ejpam-6372	206	2	.	.	X
ejpam-6372	206	3	application	application	NOUN
ejpam-6372	206	4	water	water	NOUN
ejpam-6372	206	5	from	from	ADP
ejpam-6372	206	6	the	the	DET
ejpam-6372	206	7	river	river	NOUN
ejpam-6372	206	8	reaches	reach	VERB
ejpam-6372	206	9	people	people	NOUN
ejpam-6372	206	10	’s	’s	PART
ejpam-6372	206	11	homes	home	NOUN
ejpam-6372	206	12	through	through	ADP
ejpam-6372	206	13	sturdy	sturdy	ADJ
ejpam-6372	206	14	pipelines	pipeline	NOUN
ejpam-6372	206	15	that	that	PRON
ejpam-6372	206	16	twist	twist	VERB
ejpam-6372	206	17	,	,	PUNCT
ejpam-6372	206	18	turn	turn	NOUN
ejpam-6372	206	19	,	,	PUNCT
ejpam-6372	206	20	and	and	CCONJ
ejpam-6372	206	21	cross	cross	VERB
ejpam-6372	206	22	various	various	ADJ
ejpam-6372	206	23	regions	region	NOUN
ejpam-6372	206	24	within	within	ADP
ejpam-6372	206	25	cities	city	NOUN
ejpam-6372	206	26	or	or	CCONJ
ejpam-6372	206	27	village	village	NOUN
ejpam-6372	206	28	streets	street	NOUN
ejpam-6372	206	29	,	,	PUNCT
ejpam-6372	206	30	carrying	carry	VERB
ejpam-6372	206	31	water	water	NOUN
ejpam-6372	206	32	under	under	ADP
ejpam-6372	206	33	high	high	ADJ
ejpam-6372	206	34	pressure	pressure	NOUN
ejpam-6372	206	35	.	.	PUNCT
ejpam-6372	207	1	to	to	PART
ejpam-6372	207	2	reduce	reduce	VERB
ejpam-6372	207	3	this	this	DET
ejpam-6372	207	4	high	high	ADJ
ejpam-6372	207	5	-	-	PUNCT
ejpam-6372	207	6	pressure	pressure	NOUN
ejpam-6372	207	7	water	water	NOUN
ejpam-6372	207	8	force	force	NOUN
ejpam-6372	207	9	,	,	PUNCT
ejpam-6372	207	10	a	a	DET
ejpam-6372	207	11	device	device	NOUN
ejpam-6372	207	12	known	know	VERB
ejpam-6372	207	13	as	as	ADP
ejpam-6372	207	14	a	a	DET
ejpam-6372	207	15	water	water	NOUN
ejpam-6372	207	16	tank	tank	NOUN
ejpam-6372	207	17	is	be	AUX
ejpam-6372	207	18	used	use	VERB
ejpam-6372	207	19	.	.	PUNCT
ejpam-6372	208	1	dispensing	dispense	VERB
ejpam-6372	208	2	water	water	NOUN
ejpam-6372	208	3	from	from	ADP
ejpam-6372	208	4	the	the	DET
ejpam-6372	208	5	tank	tank	NOUN
ejpam-6372	208	6	is	be	AUX
ejpam-6372	208	7	straightfor	straightfor	NOUN
ejpam-6372	208	8	-	-	PUNCT
ejpam-6372	208	9	ward	ward	NOUN
ejpam-6372	208	10	,	,	PUNCT
ejpam-6372	208	11	as	as	SCONJ
ejpam-6372	208	12	it	it	PRON
ejpam-6372	208	13	connects	connect	VERB
ejpam-6372	208	14	to	to	ADP
ejpam-6372	208	15	different	different	ADJ
ejpam-6372	208	16	houses	house	NOUN
ejpam-6372	208	17	through	through	ADP
ejpam-6372	208	18	smaller	small	ADJ
ejpam-6372	208	19	pipes	pipe	NOUN
ejpam-6372	208	20	.	.	PUNCT
ejpam-6372	209	1	however	however	ADV
ejpam-6372	209	2	,	,	PUNCT
ejpam-6372	209	3	when	when	SCONJ
ejpam-6372	209	4	connecting	connect	VERB
ejpam-6372	209	5	houses	house	NOUN
ejpam-6372	209	6	in	in	ADP
ejpam-6372	209	7	different	different	ADJ
ejpam-6372	209	8	areas	area	NOUN
ejpam-6372	209	9	,	,	PUNCT
ejpam-6372	209	10	crossings	crossing	NOUN
ejpam-6372	209	11	between	between	ADP
ejpam-6372	209	12	these	these	DET
ejpam-6372	209	13	small	small	ADJ
ejpam-6372	209	14	pipes	pipe	NOUN
ejpam-6372	209	15	may	may	AUX
ejpam-6372	209	16	occur	occur	VERB
ejpam-6372	209	17	.	.	PUNCT
ejpam-6372	210	1	sometimes	sometimes	ADV
ejpam-6372	210	2	,	,	PUNCT
ejpam-6372	210	3	such	such	ADJ
ejpam-6372	210	4	crossings	crossing	NOUN
ejpam-6372	210	5	are	be	AUX
ejpam-6372	210	6	benefi	benefi	NOUN
ejpam-6372	210	7	-	-	PUNCT
ejpam-6372	210	8	cial	cial	ADJ
ejpam-6372	210	9	because	because	SCONJ
ejpam-6372	210	10	they	they	PRON
ejpam-6372	210	11	save	save	VERB
ejpam-6372	210	12	space	space	NOUN
ejpam-6372	210	13	and	and	CCONJ
ejpam-6372	210	14	reduce	reduce	VERB
ejpam-6372	210	15	costs	cost	NOUN
ejpam-6372	210	16	.	.	PUNCT
ejpam-6372	211	1	however	however	ADV
ejpam-6372	211	2	,	,	PUNCT
ejpam-6372	211	3	pipe	pipe	NOUN
ejpam-6372	211	4	crossings	crossing	NOUN
ejpam-6372	211	5	can	can	AUX
ejpam-6372	211	6	also	also	ADV
ejpam-6372	211	7	cause	cause	VERB
ejpam-6372	211	8	problems	problem	NOUN
ejpam-6372	211	9	,	,	PUNCT
ejpam-6372	211	10	as	as	SCONJ
ejpam-6372	211	11	they	they	PRON
ejpam-6372	211	12	may	may	AUX
ejpam-6372	211	13	lead	lead	VERB
ejpam-6372	211	14	to	to	ADP
ejpam-6372	211	15	pipe	pipe	NOUN
ejpam-6372	211	16	breakage	breakage	NOUN
ejpam-6372	211	17	and	and	CCONJ
ejpam-6372	211	18	water	water	NOUN
ejpam-6372	211	19	leakage	leakage	NOUN
ejpam-6372	211	20	,	,	PUNCT
ejpam-6372	211	21	resulting	result	VERB
ejpam-6372	211	22	in	in	ADP
ejpam-6372	211	23	water	water	NOUN
ejpam-6372	211	24	loss	loss	NOUN
ejpam-6372	211	25	and	and	CCONJ
ejpam-6372	211	26	failure	failure	NOUN
ejpam-6372	211	27	to	to	PART
ejpam-6372	211	28	deliver	deliver	VERB
ejpam-6372	211	29	water	water	NOUN
ejpam-6372	211	30	to	to	ADP
ejpam-6372	211	31	its	its	PRON
ejpam-6372	211	32	intended	intended	ADJ
ejpam-6372	211	33	destination	destination	NOUN
ejpam-6372	211	34	.	.	PUNCT
ejpam-6372	212	1	to	to	PART
ejpam-6372	212	2	overcome	overcome	VERB
ejpam-6372	212	3	this	this	DET
ejpam-6372	212	4	issue	issue	NOUN
ejpam-6372	212	5	,	,	PUNCT
ejpam-6372	212	6	crossings	crossing	NOUN
ejpam-6372	212	7	between	between	ADP
ejpam-6372	212	8	pipes	pipe	NOUN
ejpam-6372	212	9	obbu	obbu	NOUN
ejpam-6372	212	10	ramesh	ramesh	PROPN
ejpam-6372	212	11	et.al	et.al	PROPN
ejpam-6372	212	12	/	/	SYM
ejpam-6372	212	13	eur	eur	PROPN
ejpam-6372	212	14	.	.	PUNCT
ejpam-6372	213	1	j.	j.	PROPN
ejpam-6372	213	2	pure	pure	PROPN
ejpam-6372	213	3	appl	appl	PROPN
ejpam-6372	213	4	.	.	PROPN
ejpam-6372	213	5	math	math	PROPN
ejpam-6372	213	6	,	,	PUNCT
ejpam-6372	213	7	18	18	NUM
ejpam-6372	213	8	(	(	PUNCT
ejpam-6372	213	9	3	3	NUM
ejpam-6372	213	10	)	)	PUNCT
ejpam-6372	213	11	(	(	PUNCT
ejpam-6372	213	12	2025	2025	NUM
ejpam-6372	213	13	)	)	PUNCT
ejpam-6372	213	14	,	,	PUNCT
ejpam-6372	213	15	6372	6372	NUM
ejpam-6372	213	16	12	12	NUM
ejpam-6372	213	17	of	of	ADP
ejpam-6372	213	18	17	17	NUM
ejpam-6372	213	19	should	should	AUX
ejpam-6372	213	20	be	be	AUX
ejpam-6372	213	21	minimized	minimize	VERB
ejpam-6372	213	22	,	,	PUNCT
ejpam-6372	213	23	and	and	CCONJ
ejpam-6372	213	24	high	high	ADJ
ejpam-6372	213	25	-	-	PUNCT
ejpam-6372	213	26	quality	quality	NOUN
ejpam-6372	213	27	pipes	pipe	NOUN
ejpam-6372	213	28	should	should	AUX
ejpam-6372	213	29	be	be	AUX
ejpam-6372	213	30	used	use	VERB
ejpam-6372	213	31	for	for	ADP
ejpam-6372	213	32	installation	installation	NOUN
ejpam-6372	213	33	.	.	PUNCT
ejpam-6372	214	1	the	the	DET
ejpam-6372	214	2	realworld	realworld	PROPN
ejpam-6372	214	3	methodology	methodology	NOUN
ejpam-6372	214	4	of	of	ADP
ejpam-6372	214	5	intuitionistic	intuitionistic	ADJ
ejpam-6372	214	6	pythag	pythag	NOUN
ejpam-6372	214	7	-	-	PUNCT
ejpam-6372	214	8	orean	orean	ADJ
ejpam-6372	214	9	fuzzy	fuzzy	ADJ
ejpam-6372	214	10	graphs	graph	NOUN
ejpam-6372	214	11	can	can	AUX
ejpam-6372	214	12	be	be	AUX
ejpam-6372	214	13	applied	apply	VERB
ejpam-6372	214	14	to	to	ADP
ejpam-6372	214	15	model	model	NOUN
ejpam-6372	214	16	and	and	CCONJ
ejpam-6372	214	17	manage	manage	VERB
ejpam-6372	214	18	such	such	ADJ
ejpam-6372	214	19	situations	situation	NOUN
ejpam-6372	214	20	,	,	PUNCT
ejpam-6372	214	21	helping	help	VERB
ejpam-6372	214	22	to	to	PART
ejpam-6372	214	23	reduce	reduce	VERB
ejpam-6372	214	24	the	the	DET
ejpam-6372	214	25	risk	risk	NOUN
ejpam-6372	214	26	of	of	ADP
ejpam-6372	214	27	damage	damage	NOUN
ejpam-6372	214	28	and	and	CCONJ
ejpam-6372	214	29	associated	associated	ADJ
ejpam-6372	214	30	costs	cost	NOUN
ejpam-6372	214	31	.	.	PUNCT
ejpam-6372	215	1	take	take	VERB
ejpam-6372	215	2	into	into	ADP
ejpam-6372	215	3	account	account	NOUN
ejpam-6372	215	4	a	a	DET
ejpam-6372	215	5	water	water	NOUN
ejpam-6372	215	6	tank	tank	NOUN
ejpam-6372	215	7	wherein	wherein	SCONJ
ejpam-6372	215	8	unique	unique	ADJ
ejpam-6372	215	9	regions	region	NOUN
ejpam-6372	215	10	are	be	AUX
ejpam-6372	215	11	related	relate	VERB
ejpam-6372	215	12	as	as	SCONJ
ejpam-6372	215	13	proven	prove	VERB
ejpam-6372	215	14	in	in	ADP
ejpam-6372	215	15	figure	figure	NOUN
ejpam-6372	215	16	.	.	PUNCT
ejpam-6372	216	1	every	every	DET
ejpam-6372	216	2	region	region	NOUN
ejpam-6372	216	3	v1	v1	NOUN
ejpam-6372	216	4	,	,	PUNCT
ejpam-6372	216	5	v2	v2	NOUN
ejpam-6372	216	6	,	,	PUNCT
ejpam-6372	216	7	.	.	PUNCT
ejpam-6372	216	8	.	.	PUNCT
ejpam-6372	216	9	.	.	PUNCT
ejpam-6372	217	1	,	,	PUNCT
ejpam-6372	217	2	v8	v8	PROPN
ejpam-6372	217	3	is	be	AUX
ejpam-6372	217	4	signified	signify	VERB
ejpam-6372	217	5	by	by	ADP
ejpam-6372	217	6	using	use	VERB
ejpam-6372	217	7	a	a	DET
ejpam-6372	217	8	vertex	vertex	NOUN
ejpam-6372	217	9	and	and	CCONJ
ejpam-6372	217	10	every	every	DET
ejpam-6372	217	11	pipe	pipe	NOUN
ejpam-6372	217	12	connection	connection	NOUN
ejpam-6372	217	13	between	between	ADP
ejpam-6372	217	14	exclusive	exclusive	ADJ
ejpam-6372	217	15	areas	area	NOUN
ejpam-6372	217	16	through	through	ADP
ejpam-6372	217	17	small	small	ADJ
ejpam-6372	217	18	pipe	pipe	NOUN
ejpam-6372	217	19	is	be	AUX
ejpam-6372	217	20	signified	signify	VERB
ejpam-6372	217	21	by	by	ADP
ejpam-6372	217	22	edges	edge	NOUN
ejpam-6372	217	23	.	.	PUNCT
ejpam-6372	218	1	the	the	DET
ejpam-6372	218	2	membership	membership	NOUN
ejpam-6372	218	3	score	score	NOUN
ejpam-6372	218	4	of	of	ADP
ejpam-6372	218	5	a	a	DET
ejpam-6372	218	6	vertex	vertex	NOUN
ejpam-6372	218	7	characterizes	characterize	VERB
ejpam-6372	218	8	the	the	DET
ejpam-6372	218	9	likelihood	likelihood	NOUN
ejpam-6372	218	10	of	of	ADP
ejpam-6372	218	11	a	a	DET
ejpam-6372	218	12	breakdown	breakdown	NOUN
ejpam-6372	218	13	,	,	PUNCT
ejpam-6372	218	14	whereas	whereas	SCONJ
ejpam-6372	218	15	the	the	DET
ejpam-6372	218	16	non	non	ADJ
ejpam-6372	218	17	-	-	ADJ
ejpam-6372	218	18	membership	membership	ADJ
ejpam-6372	218	19	score	score	NOUN
ejpam-6372	218	20	suggests	suggest	VERB
ejpam-6372	218	21	the	the	DET
ejpam-6372	218	22	probability	probability	NOUN
ejpam-6372	218	23	of	of	ADP
ejpam-6372	218	24	no	no	DET
ejpam-6372	218	25	breakdown	breakdown	NOUN
ejpam-6372	218	26	occurring	occur	VERB
ejpam-6372	218	27	in	in	ADP
ejpam-6372	218	28	the	the	DET
ejpam-6372	218	29	connections	connection	NOUN
ejpam-6372	218	30	between	between	ADP
ejpam-6372	218	31	various	various	ADJ
ejpam-6372	218	32	areas	area	NOUN
ejpam-6372	218	33	.	.	PUNCT
ejpam-6372	219	1	similarly	similarly	ADV
ejpam-6372	219	2	,	,	PUNCT
ejpam-6372	219	3	the	the	DET
ejpam-6372	219	4	mem	mem	ADJ
ejpam-6372	219	5	-	-	PUNCT
ejpam-6372	219	6	bership	bership	NOUN
ejpam-6372	219	7	score	score	NOUN
ejpam-6372	219	8	of	of	ADP
ejpam-6372	219	9	an	an	DET
ejpam-6372	219	10	edge	edge	NOUN
ejpam-6372	219	11	indicates	indicate	VERB
ejpam-6372	219	12	the	the	DET
ejpam-6372	219	13	degree	degree	NOUN
ejpam-6372	219	14	of	of	ADP
ejpam-6372	219	15	risk	risk	NOUN
ejpam-6372	219	16	associated	associate	VERB
ejpam-6372	219	17	with	with	ADP
ejpam-6372	219	18	a	a	DET
ejpam-6372	219	19	pipe	pipe	NOUN
ejpam-6372	219	20	connection	connection	NOUN
ejpam-6372	219	21	between	between	ADP
ejpam-6372	219	22	areas	area	NOUN
ejpam-6372	219	23	,	,	PUNCT
ejpam-6372	219	24	while	while	SCONJ
ejpam-6372	219	25	the	the	DET
ejpam-6372	219	26	non	non	ADJ
ejpam-6372	219	27	-	-	ADJ
ejpam-6372	219	28	membership	membership	ADJ
ejpam-6372	219	29	score	score	NOUN
ejpam-6372	219	30	denotes	denote	VERB
ejpam-6372	219	31	the	the	DET
ejpam-6372	219	32	absence	absence	NOUN
ejpam-6372	219	33	of	of	ADP
ejpam-6372	219	34	such	such	DET
ejpam-6372	219	35	a	a	DET
ejpam-6372	219	36	connection	connection	NOUN
ejpam-6372	219	37	risk	risk	NOUN
ejpam-6372	219	38	.	.	PUNCT
ejpam-6372	220	1	figure	figure	VERB
ejpam-6372	220	2	4	4	NUM
ejpam-6372	220	3	:	:	PUNCT
ejpam-6372	220	4	ipfg	ipfg	ADJ
ejpam-6372	220	5	because	because	SCONJ
ejpam-6372	220	6	the	the	DET
ejpam-6372	220	7	quantity	quantity	NOUN
ejpam-6372	220	8	of	of	ADP
ejpam-6372	220	9	crossings	crossing	NOUN
ejpam-6372	220	10	increases	increase	NOUN
ejpam-6372	220	11	,	,	PUNCT
ejpam-6372	220	12	the	the	DET
ejpam-6372	220	13	charge	charge	NOUN
ejpam-6372	220	14	of	of	ADP
ejpam-6372	220	15	destruction	destruction	NOUN
ejpam-6372	220	16	will	will	AUX
ejpam-6372	220	17	increase	increase	VERB
ejpam-6372	220	18	.	.	PUNCT
ejpam-6372	221	1	therefore	therefore	ADV
ejpam-6372	221	2	,	,	PUNCT
ejpam-6372	221	3	the	the	DET
ejpam-6372	221	4	size	size	NOUN
ejpam-6372	221	5	of	of	ADP
ejpam-6372	221	6	the	the	DET
ejpam-6372	221	7	planarity	planarity	NOUN
ejpam-6372	221	8	cost	cost	NOUN
ejpam-6372	221	9	is	be	AUX
ejpam-6372	221	10	vital	vital	ADJ
ejpam-6372	221	11	.	.	PUNCT
ejpam-6372	222	1	in	in	ADP
ejpam-6372	222	2	the	the	DET
ejpam-6372	222	3	figure	figure	NOUN
ejpam-6372	222	4	4	4	NUM
ejpam-6372	222	5	,	,	PUNCT
ejpam-6372	222	6	there	there	PRON
ejpam-6372	222	7	are	be	VERB
ejpam-6372	222	8	eight	eight	NUM
ejpam-6372	222	9	crossings	crossing	NOUN
ejpam-6372	222	10	points	point	NOUN
ejpam-6372	222	11	’	'	PUNCT
ejpam-6372	222	12	p1	p1	NOUN
ejpam-6372	222	13	,	,	PUNCT
ejpam-6372	222	14	p2	p2	NOUN
ejpam-6372	222	15	,	,	PUNCT
ejpam-6372	222	16	p3	p3	NOUN
ejpam-6372	222	17	,	,	PUNCT
ejpam-6372	222	18	p4	p4	ADJ
ejpam-6372	222	19	,	,	PUNCT
ejpam-6372	222	20	p5	p5	ADJ
ejpam-6372	222	21	,	,	PUNCT
ejpam-6372	222	22	p6	p6	PROPN
ejpam-6372	222	23	,	,	PUNCT
ejpam-6372	222	24	p7	p7	ADJ
ejpam-6372	222	25	and	and	CCONJ
ejpam-6372	222	26	p8	p8	ADJ
ejpam-6372	222	27	between	between	ADP
ejpam-6372	222	28	pair	pair	NOUN
ejpam-6372	222	29	of	of	ADP
ejpam-6372	222	30	pipe	pipe	NOUN
ejpam-6372	222	31	connections	connection	NOUN
ejpam-6372	222	32	(	(	PUNCT
ejpam-6372	222	33	v1v4	v1v4	X
ejpam-6372	222	34	,	,	PUNCT
ejpam-6372	222	35	v2v3	v2v3	NUM
ejpam-6372	222	36	)	)	PUNCT
ejpam-6372	222	37	,	,	PUNCT
ejpam-6372	222	38	(	(	PUNCT
ejpam-6372	222	39	v1v4	v1v4	X
ejpam-6372	222	40	,	,	PUNCT
ejpam-6372	222	41	v2v5	v2v5	NOUN
ejpam-6372	222	42	)	)	PUNCT
ejpam-6372	222	43	,	,	PUNCT
ejpam-6372	222	44	(	(	PUNCT
ejpam-6372	222	45	v1v4	v1v4	X
ejpam-6372	222	46	,	,	PUNCT
ejpam-6372	222	47	v2v6	v2v6	NOUN
ejpam-6372	222	48	)	)	PUNCT
ejpam-6372	222	49	,	,	PUNCT
ejpam-6372	222	50	(	(	PUNCT
ejpam-6372	222	51	v2v5	v2v5	NOUN
ejpam-6372	222	52	,	,	PUNCT
ejpam-6372	222	53	v3v4	v3v4	NOUN
ejpam-6372	222	54	)	)	PUNCT
ejpam-6372	222	55	,	,	PUNCT
ejpam-6372	222	56	(	(	PUNCT
ejpam-6372	222	57	v2v6	v2v6	X
ejpam-6372	222	58	,	,	PUNCT
ejpam-6372	222	59	v3v4	v3v4	NOUN
ejpam-6372	222	60	)	)	PUNCT
ejpam-6372	222	61	,	,	PUNCT
ejpam-6372	222	62	(	(	PUNCT
ejpam-6372	222	63	v2v6	v2v6	X
ejpam-6372	222	64	,	,	PUNCT
ejpam-6372	222	65	v4v5	v4v5	NOUN
ejpam-6372	222	66	)	)	PUNCT
ejpam-6372	222	67	,	,	PUNCT
ejpam-6372	222	68	(	(	PUNCT
ejpam-6372	222	69	v3v6	v3v6	NOUN
ejpam-6372	222	70	,	,	PUNCT
ejpam-6372	222	71	v4v5	v4v5	NOUN
ejpam-6372	222	72	)	)	PUNCT
ejpam-6372	222	73	and	and	CCONJ
ejpam-6372	222	74	(	(	PUNCT
ejpam-6372	222	75	v2v5	v2v5	NOUN
ejpam-6372	222	76	,	,	PUNCT
ejpam-6372	222	77	v3v6	v3v6	NOUN
ejpam-6372	222	78	)	)	PUNCT
ejpam-6372	222	79	espectively	espectively	ADV
ejpam-6372	222	80	.	.	PUNCT
ejpam-6372	223	1	the	the	DET
ejpam-6372	223	2	strength	strength	NOUN
ejpam-6372	223	3	of	of	ADP
ejpam-6372	223	4	pipes	pipe	NOUN
ejpam-6372	223	5	are	be	AUX
ejpam-6372	223	6	v1v4	v1v4	X
ejpam-6372	223	7	=	=	PUNCT
ejpam-6372	223	8	(	(	PUNCT
ejpam-6372	223	9	0.6	0.6	NUM
ejpam-6372	223	10	0.3	0.3	NUM
ejpam-6372	223	11	,	,	PUNCT
ejpam-6372	223	12	0.3	0.3	NUM
ejpam-6372	223	13	0.6	0.6	NUM
ejpam-6372	223	14	)	)	PUNCT
ejpam-6372	224	1	=	=	SYM
ejpam-6372	224	2	(	(	PUNCT
ejpam-6372	224	3	2	2	NUM
ejpam-6372	224	4	,	,	PUNCT
ejpam-6372	224	5	0.5	0.5	NUM
ejpam-6372	224	6	)	)	PUNCT
ejpam-6372	224	7	;	;	PUNCT
ejpam-6372	224	8	v2v3	v2v3	X
ejpam-6372	224	9	=	=	PUNCT
ejpam-6372	224	10	(	(	PUNCT
ejpam-6372	224	11	0.4	0.4	NUM
ejpam-6372	224	12	0.4	0.4	NUM
ejpam-6372	224	13	,	,	PUNCT
ejpam-6372	224	14	0.6	0.6	NUM
ejpam-6372	224	15	0.2	0.2	NUM
ejpam-6372	224	16	)	)	PUNCT
ejpam-6372	224	17	=	=	PUNCT
ejpam-6372	224	18	(	(	PUNCT
ejpam-6372	224	19	1	1	NUM
ejpam-6372	224	20	,	,	PUNCT
ejpam-6372	224	21	2	2	NUM
ejpam-6372	224	22	)	)	PUNCT
ejpam-6372	224	23	v2v5	v2v5	NOUN
ejpam-6372	224	24	=	=	PUNCT
ejpam-6372	224	25	(	(	PUNCT
ejpam-6372	224	26	0.8	0.8	NUM
ejpam-6372	224	27	0.1	0.1	NUM
ejpam-6372	224	28	,	,	PUNCT
ejpam-6372	224	29	0.2	0.2	NUM
ejpam-6372	224	30	0.6	0.6	NUM
ejpam-6372	224	31	)	)	PUNCT
ejpam-6372	224	32	=	=	SYM
ejpam-6372	224	33	(	(	PUNCT
ejpam-6372	224	34	8	8	NUM
ejpam-6372	224	35	,	,	PUNCT
ejpam-6372	224	36	0.33	0.33	NUM
ejpam-6372	224	37	)	)	PUNCT
ejpam-6372	224	38	;	;	PUNCT
ejpam-6372	224	39	v2v6	v2v6	X
ejpam-6372	224	40	=	=	SYM
ejpam-6372	224	41	(	(	PUNCT
ejpam-6372	224	42	0.2	0.2	NUM
ejpam-6372	224	43	0.7	0.7	NUM
ejpam-6372	224	44	,	,	PUNCT
ejpam-6372	224	45	0.6	0.6	NUM
ejpam-6372	224	46	0.2	0.2	NUM
ejpam-6372	224	47	)	)	PUNCT
ejpam-6372	224	48	=	=	PUNCT
ejpam-6372	224	49	(	(	PUNCT
ejpam-6372	224	50	0.28	0.28	NUM
ejpam-6372	224	51	,	,	PUNCT
ejpam-6372	224	52	3	3	NUM
ejpam-6372	224	53	)	)	PUNCT
ejpam-6372	224	54	v3v4	v3v4	NOUN
ejpam-6372	224	55	=	=	PUNCT
ejpam-6372	224	56	(	(	PUNCT
ejpam-6372	224	57	0.1	0.1	NUM
ejpam-6372	224	58	0.4	0.4	NUM
ejpam-6372	224	59	,	,	PUNCT
ejpam-6372	224	60	0.3	0.3	NUM
ejpam-6372	224	61	0.2	0.2	NUM
ejpam-6372	224	62	)	)	PUNCT
ejpam-6372	224	63	=	=	PUNCT
ejpam-6372	224	64	(	(	PUNCT
ejpam-6372	224	65	0.25	0.25	NUM
ejpam-6372	224	66	,	,	PUNCT
ejpam-6372	224	67	1.5	1.5	NUM
ejpam-6372	224	68	)	)	PUNCT
ejpam-6372	224	69	;	;	PUNCT
ejpam-6372	224	70	v4v5	v4v5	X
ejpam-6372	224	71	=	=	SYM
ejpam-6372	224	72	(	(	PUNCT
ejpam-6372	224	73	0.4	0.4	NUM
ejpam-6372	224	74	0.1	0.1	NUM
ejpam-6372	224	75	,	,	PUNCT
ejpam-6372	224	76	0.5	0.5	NUM
ejpam-6372	224	77	0.6	0.6	NUM
ejpam-6372	224	78	)	)	PUNCT
ejpam-6372	224	79	=	=	SYM
ejpam-6372	224	80	(	(	PUNCT
ejpam-6372	224	81	4	4	NUM
ejpam-6372	224	82	,	,	PUNCT
ejpam-6372	224	83	0.83	0.83	NUM
ejpam-6372	224	84	)	)	PUNCT
ejpam-6372	224	85	v3v6	v3v6	NOUN
ejpam-6372	224	86	=	=	PUNCT
ejpam-6372	224	87	(	(	PUNCT
ejpam-6372	224	88	0.7	0.7	NUM
ejpam-6372	224	89	0.4	0.4	NUM
ejpam-6372	224	90	,	,	PUNCT
ejpam-6372	224	91	0.2	0.2	NUM
ejpam-6372	224	92	0.2	0.2	NUM
ejpam-6372	224	93	)	)	PUNCT
ejpam-6372	224	94	=	=	PUNCT
ejpam-6372	224	95	(	(	PUNCT
ejpam-6372	224	96	1.75	1.75	NUM
ejpam-6372	224	97	,	,	PUNCT
ejpam-6372	224	98	1	1	NUM
ejpam-6372	224	99	)	)	PUNCT
ejpam-6372	224	100	thus	thus	ADV
ejpam-6372	224	101	,	,	PUNCT
ejpam-6372	224	102	the	the	DET
ejpam-6372	224	103	intuitionistic	intuitionistic	ADJ
ejpam-6372	224	104	pythagorean	pythagorean	ADJ
ejpam-6372	224	105	uncertain	uncertain	ADJ
ejpam-6372	224	106	planarity	planarity	NOUN
ejpam-6372	224	107	rate	rate	NOUN
ejpam-6372	224	108	is	be	AUX
ejpam-6372	224	109	ξ	ξ	NOUN
ejpam-6372	224	110	=	=	PUNCT
ejpam-6372	224	111	(	(	PUNCT
ejpam-6372	224	112	0.055	0.055	NUM
ejpam-6372	224	113	,	,	PUNCT
ejpam-6372	224	114	0.098	0.098	NUM
ejpam-6372	224	115	)	)	PUNCT
ejpam-6372	224	116	because	because	SCONJ
ejpam-6372	224	117	the	the	DET
ejpam-6372	224	118	planarity	planarity	NOUN
ejpam-6372	224	119	rate	rate	NOUN
ejpam-6372	224	120	is	be	AUX
ejpam-6372	224	121	at	at	ADP
ejpam-6372	224	122	a	a	DET
ejpam-6372	224	123	lowest	low	ADJ
ejpam-6372	224	124	,	,	PUNCT
ejpam-6372	224	125	it	it	PRON
ejpam-6372	224	126	designates	designate	VERB
ejpam-6372	224	127	the	the	DET
ejpam-6372	224	128	opportunity	opportunity	NOUN
ejpam-6372	224	129	of	of	ADP
ejpam-6372	224	130	excessive	excessive	ADJ
ejpam-6372	224	131	damage	damage	NOUN
ejpam-6372	224	132	,	,	PUNCT
ejpam-6372	224	133	to	to	PART
ejpam-6372	224	134	reduce	reduce	VERB
ejpam-6372	224	135	the	the	DET
ejpam-6372	224	136	planarity	planarity	NOUN
ejpam-6372	224	137	,	,	PUNCT
ejpam-6372	224	138	it	it	PRON
ejpam-6372	224	139	can	can	AUX
ejpam-6372	224	140	trade	trade	VERB
ejpam-6372	224	141	the	the	DET
ejpam-6372	224	142	graphical	graphical	ADJ
ejpam-6372	224	143	illustration	illustration	NOUN
ejpam-6372	224	144	as	as	SCONJ
ejpam-6372	224	145	proven	prove	VERB
ejpam-6372	224	146	in	in	ADP
ejpam-6372	224	147	the	the	DET
ejpam-6372	224	148	under	under	NOUN
ejpam-6372	224	149	determine	determine	NOUN
ejpam-6372	224	150	.	.	PUNCT
ejpam-6372	225	1	obbu	obbu	PROPN
ejpam-6372	225	2	ramesh	ramesh	PROPN
ejpam-6372	225	3	et.al	et.al	PROPN
ejpam-6372	225	4	/	/	SYM
ejpam-6372	225	5	eur	eur	PROPN
ejpam-6372	225	6	.	.	PUNCT
ejpam-6372	226	1	j.	j.	PROPN
ejpam-6372	226	2	pure	pure	PROPN
ejpam-6372	226	3	appl	appl	PROPN
ejpam-6372	226	4	.	.	PROPN
ejpam-6372	226	5	math	math	PROPN
ejpam-6372	226	6	,	,	PUNCT
ejpam-6372	226	7	18	18	NUM
ejpam-6372	226	8	(	(	PUNCT
ejpam-6372	226	9	3	3	NUM
ejpam-6372	226	10	)	)	PUNCT
ejpam-6372	226	11	(	(	PUNCT
ejpam-6372	226	12	2025	2025	NUM
ejpam-6372	226	13	)	)	PUNCT
ejpam-6372	226	14	,	,	PUNCT
ejpam-6372	226	15	6372	6372	NUM
ejpam-6372	226	16	13	13	NUM
ejpam-6372	226	17	of	of	ADP
ejpam-6372	226	18	17	17	NUM
ejpam-6372	226	19	figure	figure	NOUN
ejpam-6372	226	20	5	5	NUM
ejpam-6372	226	21	:	:	PUNCT
ejpam-6372	226	22	ipfg	ipfg	NOUN
ejpam-6372	226	23	hence	hence	ADV
ejpam-6372	226	24	that	that	SCONJ
ejpam-6372	226	25	the	the	DET
ejpam-6372	226	26	number	number	NOUN
ejpam-6372	226	27	of	of	ADP
ejpam-6372	226	28	crossover	crossover	NOUN
ejpam-6372	226	29	factors	factor	NOUN
ejpam-6372	226	30	is	be	AUX
ejpam-6372	226	31	inversely	inversely	ADV
ejpam-6372	226	32	proportional	proportional	ADJ
ejpam-6372	226	33	to	to	ADP
ejpam-6372	226	34	planarity	planarity	NOUN
ejpam-6372	226	35	.	.	PUNCT
ejpam-6372	227	1	meanwhile	meanwhile	ADV
ejpam-6372	227	2	the	the	DET
ejpam-6372	227	3	number	number	NOUN
ejpam-6372	227	4	of	of	ADP
ejpam-6372	227	5	crossing	cross	VERB
ejpam-6372	227	6	factors	factor	NOUN
ejpam-6372	227	7	reduction	reduction	NOUN
ejpam-6372	227	8	.	.	PUNCT
ejpam-6372	228	1	in	in	ADP
ejpam-6372	228	2	figure	figure	NOUN
ejpam-6372	228	3	5	5	NUM
ejpam-6372	228	4	,	,	PUNCT
ejpam-6372	228	5	there	there	PRON
ejpam-6372	228	6	is	be	VERB
ejpam-6372	228	7	only	only	ADV
ejpam-6372	228	8	one	one	NUM
ejpam-6372	228	9	crossings	crossing	NOUN
ejpam-6372	228	10	point	point	NOUN
ejpam-6372	228	11	p1	p1	NOUN
ejpam-6372	228	12	between	between	ADP
ejpam-6372	228	13	pair	pair	NOUN
ejpam-6372	228	14	of	of	ADP
ejpam-6372	228	15	pipe	pipe	NOUN
ejpam-6372	228	16	connections	connection	NOUN
ejpam-6372	228	17	(	(	PUNCT
ejpam-6372	228	18	v3v6	v3v6	NOUN
ejpam-6372	228	19	,	,	PUNCT
ejpam-6372	228	20	v4v5	v4v5	NOUN
ejpam-6372	228	21	)	)	PUNCT
ejpam-6372	228	22	respectively	respectively	ADV
ejpam-6372	228	23	.	.	PUNCT
ejpam-6372	229	1	the	the	DET
ejpam-6372	229	2	strength	strength	NOUN
ejpam-6372	229	3	of	of	ADP
ejpam-6372	229	4	pipes	pipe	NOUN
ejpam-6372	229	5	are	be	AUX
ejpam-6372	229	6	v4v5	v4v5	NOUN
ejpam-6372	229	7	=	=	PUNCT
ejpam-6372	229	8	(	(	PUNCT
ejpam-6372	229	9	0.4	0.4	NUM
ejpam-6372	229	10	0.1	0.1	NUM
ejpam-6372	229	11	,	,	PUNCT
ejpam-6372	229	12	0.5	0.5	NUM
ejpam-6372	229	13	0.6	0.6	NUM
ejpam-6372	229	14	)	)	PUNCT
ejpam-6372	229	15	=	=	SYM
ejpam-6372	229	16	(	(	PUNCT
ejpam-6372	229	17	4	4	NUM
ejpam-6372	229	18	,	,	PUNCT
ejpam-6372	229	19	0.83	0.83	NUM
ejpam-6372	229	20	)	)	PUNCT
ejpam-6372	230	1	v3v6	v3v6	NOUN
ejpam-6372	230	2	=	=	PUNCT
ejpam-6372	230	3	(	(	PUNCT
ejpam-6372	230	4	0.7	0.7	NUM
ejpam-6372	230	5	0.4	0.4	NUM
ejpam-6372	230	6	,	,	PUNCT
ejpam-6372	230	7	0.2	0.2	NUM
ejpam-6372	230	8	0.2	0.2	NUM
ejpam-6372	230	9	)	)	PUNCT
ejpam-6372	231	1	=	=	PUNCT
ejpam-6372	231	2	(	(	PUNCT
ejpam-6372	231	3	1.75	1.75	NUM
ejpam-6372	231	4	,	,	PUNCT
ejpam-6372	231	5	1	1	NUM
ejpam-6372	231	6	)	)	PUNCT
ejpam-6372	231	7	thus	thus	ADV
ejpam-6372	231	8	,	,	PUNCT
ejpam-6372	231	9	the	the	DET
ejpam-6372	231	10	pythagorean	pythagorean	ADJ
ejpam-6372	231	11	uncertain	uncertain	ADJ
ejpam-6372	231	12	planarity	planarity	NOUN
ejpam-6372	231	13	rate	rate	NOUN
ejpam-6372	231	14	is	be	AUX
ejpam-6372	231	15	ξ	ξ	X
ejpam-6372	231	16	=	=	PUNCT
ejpam-6372	231	17	(	(	PUNCT
ejpam-6372	231	18	0.15	0.15	NUM
ejpam-6372	231	19	,	,	PUNCT
ejpam-6372	231	20	0.35	0.35	NUM
ejpam-6372	231	21	)	)	PUNCT
ejpam-6372	231	22	increase	increase	NOUN
ejpam-6372	231	23	and	and	CCONJ
ejpam-6372	231	24	score	score	NOUN
ejpam-6372	231	25	of	of	ADP
ejpam-6372	231	26	ruin	ruin	NOUN
ejpam-6372	231	27	reductions	reduction	NOUN
ejpam-6372	231	28	.	.	PUNCT
ejpam-6372	232	1	in	in	ADP
ejpam-6372	232	2	addition	addition	NOUN
ejpam-6372	232	3	,	,	PUNCT
ejpam-6372	232	4	the	the	DET
ejpam-6372	232	5	illustration	illustration	NOUN
ejpam-6372	232	6	in	in	ADP
ejpam-6372	232	7	the	the	DET
ejpam-6372	232	8	preceding	precede	VERB
ejpam-6372	232	9	figure	figure	NOUN
ejpam-6372	232	10	5	5	NUM
ejpam-6372	232	11	reveals	reveal	VERB
ejpam-6372	232	12	that	that	SCONJ
ejpam-6372	232	13	p1	p1	NOUN
ejpam-6372	232	14	is	be	AUX
ejpam-6372	232	15	the	the	DET
ejpam-6372	232	16	only	only	ADJ
ejpam-6372	232	17	crossing	crossing	NOUN
ejpam-6372	232	18	left	leave	VERB
ejpam-6372	232	19	that	that	PRON
ejpam-6372	232	20	can	can	AUX
ejpam-6372	232	21	not	not	PART
ejpam-6372	232	22	be	be	AUX
ejpam-6372	232	23	decreased	decrease	VERB
ejpam-6372	232	24	;	;	PUNCT
ejpam-6372	232	25	however	however	ADV
ejpam-6372	232	26	,	,	PUNCT
ejpam-6372	232	27	the	the	DET
ejpam-6372	232	28	likelihood	likelihood	NOUN
ejpam-6372	232	29	of	of	ADP
ejpam-6372	232	30	a	a	DET
ejpam-6372	232	31	pipe	pipe	NOUN
ejpam-6372	232	32	connection	connection	NOUN
ejpam-6372	232	33	and	and	CCONJ
ejpam-6372	232	34	the	the	DET
ejpam-6372	232	35	rate	rate	NOUN
ejpam-6372	232	36	of	of	ADP
ejpam-6372	232	37	destruction	destruction	NOUN
ejpam-6372	232	38	caused	cause	VERB
ejpam-6372	232	39	by	by	ADP
ejpam-6372	232	40	it	it	PRON
ejpam-6372	232	41	can	can	AUX
ejpam-6372	232	42	be	be	AUX
ejpam-6372	232	43	reduced	reduce	VERB
ejpam-6372	232	44	by	by	ADP
ejpam-6372	232	45	using	use	VERB
ejpam-6372	232	46	high	high	ADJ
ejpam-6372	232	47	-	-	PUNCT
ejpam-6372	232	48	quality	quality	NOUN
ejpam-6372	232	49	pipes	pipe	NOUN
ejpam-6372	232	50	between	between	ADP
ejpam-6372	232	51	v1	v1	NOUN
ejpam-6372	232	52	and	and	CCONJ
ejpam-6372	232	53	v2	v2	NOUN
ejpam-6372	232	54	,	,	PUNCT
ejpam-6372	232	55	v4	v4	PROPN
ejpam-6372	232	56	and	and	CCONJ
ejpam-6372	232	57	v6	v6	NOUN
ejpam-6372	232	58	.	.	PUNCT
ejpam-6372	233	1	for	for	ADP
ejpam-6372	233	2	that	that	DET
ejpam-6372	233	3	reason	reason	NOUN
ejpam-6372	233	4	,	,	PUNCT
ejpam-6372	233	5	the	the	DET
ejpam-6372	233	6	crossing	crossing	NOUN
ejpam-6372	233	7	could	could	AUX
ejpam-6372	233	8	be	be	AUX
ejpam-6372	233	9	less	less	ADV
ejpam-6372	233	10	dangerous	dangerous	ADJ
ejpam-6372	233	11	.	.	PUNCT
ejpam-6372	234	1	as	as	ADP
ejpam-6372	234	2	a	a	DET
ejpam-6372	234	3	result	result	NOUN
ejpam-6372	234	4	,	,	PUNCT
ejpam-6372	234	5	finish	finish	VERB
ejpam-6372	234	6	that	that	PRON
ejpam-6372	234	7	pythagorean	pythagorean	VERB
ejpam-6372	234	8	uncertain	uncertain	ADJ
ejpam-6372	234	9	linking	linking	NOUN
ejpam-6372	234	10	model	model	NOUN
ejpam-6372	234	11	may	may	AUX
ejpam-6372	234	12	be	be	AUX
ejpam-6372	234	13	used	use	VERB
ejpam-6372	234	14	for	for	ADP
ejpam-6372	234	15	tracing	trace	VERB
ejpam-6372	234	16	and	and	CCONJ
ejpam-6372	234	17	identifying	identify	VERB
ejpam-6372	234	18	the	the	DET
ejpam-6372	234	19	rate	rate	NOUN
ejpam-6372	234	20	of	of	ADP
ejpam-6372	234	21	damage	damage	NOUN
ejpam-6372	234	22	.	.	PUNCT
ejpam-6372	235	1	through	through	ADP
ejpam-6372	235	2	probing	probe	VERB
ejpam-6372	235	3	and	and	CCONJ
ejpam-6372	235	4	taking	take	VERB
ejpam-6372	235	5	greater	great	ADJ
ejpam-6372	235	6	unique	unique	ADJ
ejpam-6372	235	7	security	security	NOUN
ejpam-6372	235	8	procedures	procedure	NOUN
ejpam-6372	235	9	,	,	PUNCT
ejpam-6372	235	10	the	the	DET
ejpam-6372	235	11	share	share	NOUN
ejpam-6372	235	12	of	of	ADP
ejpam-6372	235	13	damage	damage	NOUN
ejpam-6372	235	14	may	may	AUX
ejpam-6372	235	15	be	be	AUX
ejpam-6372	235	16	decreased	decrease	VERB
ejpam-6372	235	17	and	and	CCONJ
ejpam-6372	235	18	plenty	plenty	NOUN
ejpam-6372	235	19	of	of	ADP
ejpam-6372	235	20	human	human	ADJ
ejpam-6372	235	21	problems	problem	NOUN
ejpam-6372	235	22	can	can	AUX
ejpam-6372	235	23	be	be	AUX
ejpam-6372	235	24	minimized	minimize	VERB
ejpam-6372	235	25	.	.	PUNCT
ejpam-6372	236	1	methodology	methodology	NOUN
ejpam-6372	236	2	:	:	PUNCT
ejpam-6372	236	3	reducing	reduce	VERB
ejpam-6372	236	4	crossings	crossing	NOUN
ejpam-6372	236	5	and	and	CCONJ
ejpam-6372	236	6	maintaining	maintain	VERB
ejpam-6372	236	7	planarity	planarity	NOUN
ejpam-6372	236	8	between	between	ADP
ejpam-6372	236	9	the	the	DET
ejpam-6372	236	10	connections	connection	NOUN
ejpam-6372	236	11	of	of	ADP
ejpam-6372	236	12	the	the	DET
ejpam-6372	236	13	wate	wate	ADJ
ejpam-6372	236	14	tank	tank	NOUN
ejpam-6372	236	15	pipes	pipe	NOUN
ejpam-6372	236	16	.	.	PUNCT
ejpam-6372	237	1	input	input	NOUN
ejpam-6372	237	2	:	:	PUNCT
ejpam-6372	237	3	a	a	DET
ejpam-6372	237	4	discrete	discrete	ADJ
ejpam-6372	237	5	set	set	NOUN
ejpam-6372	237	6	of	of	ADP
ejpam-6372	237	7	units	unit	NOUN
ejpam-6372	237	8	u	u	NOUN
ejpam-6372	237	9	=	=	SYM
ejpam-6372	237	10	{	{	PUNCT
ejpam-6372	237	11	u1	u1	NOUN
ejpam-6372	237	12	,	,	PUNCT
ejpam-6372	237	13	u2	u2	NOUN
ejpam-6372	237	14	,	,	PUNCT
ejpam-6372	237	15	u3	u3	NOUN
ejpam-6372	237	16	,	,	PUNCT
ejpam-6372	237	17	.	.	PUNCT
ejpam-6372	237	18	.	.	PUNCT
ejpam-6372	237	19	.	.	PUNCT
ejpam-6372	238	1	,	,	PUNCT
ejpam-6372	238	2	un	un	PROPN
ejpam-6372	238	3	}	}	PUNCT
ejpam-6372	238	4	,	,	PUNCT
ejpam-6372	238	5	a	a	DET
ejpam-6372	238	6	set	set	NOUN
ejpam-6372	238	7	of	of	ADP
ejpam-6372	238	8	water	water	NOUN
ejpam-6372	238	9	tank	tank	NOUN
ejpam-6372	238	10	connections	connection	NOUN
ejpam-6372	238	11	e	e	X
ejpam-6372	239	1	=	=	PRON
ejpam-6372	239	2	{	{	PUNCT
ejpam-6372	239	3	e1	e1	PROPN
ejpam-6372	239	4	,	,	PUNCT
ejpam-6372	239	5	e2	e2	PROPN
ejpam-6372	239	6	,	,	PUNCT
ejpam-6372	239	7	e3	e3	NOUN
ejpam-6372	239	8	,	,	PUNCT
ejpam-6372	239	9	.	.	PUNCT
ejpam-6372	239	10	.	.	PUNCT
ejpam-6372	239	11	.	.	PUNCT
ejpam-6372	240	1	,	,	PUNCT
ejpam-6372	240	2	em	em	PRON
ejpam-6372	240	3	}	}	PUNCT
ejpam-6372	240	4	between	between	ADP
ejpam-6372	240	5	the	the	DET
ejpam-6372	240	6	pipes	pipe	NOUN
ejpam-6372	240	7	and	and	CCONJ
ejpam-6372	240	8	a	a	DET
ejpam-6372	240	9	set	set	NOUN
ejpam-6372	240	10	of	of	ADP
ejpam-6372	240	11	point	point	NOUN
ejpam-6372	240	12	of	of	ADP
ejpam-6372	240	13	intersections	intersection	NOUN
ejpam-6372	240	14	c	c	NOUN
ejpam-6372	240	15	=	=	SYM
ejpam-6372	240	16	{	{	PUNCT
ejpam-6372	240	17	c1	c1	PROPN
ejpam-6372	240	18	,	,	PUNCT
ejpam-6372	240	19	c2	c2	PROPN
ejpam-6372	240	20	,	,	PUNCT
ejpam-6372	240	21	c3	c3	PROPN
ejpam-6372	240	22	,	,	PUNCT
ejpam-6372	240	23	.	.	PUNCT
ejpam-6372	240	24	.	.	PUNCT
ejpam-6372	240	25	.	.	PUNCT
ejpam-6372	241	1	,	,	PUNCT
ejpam-6372	241	2	cn	cn	PROPN
ejpam-6372	241	3	}	}	PUNCT
ejpam-6372	241	4	.	.	PUNCT
ejpam-6372	242	1	output	output	NOUN
ejpam-6372	242	2	:	:	PUNCT
ejpam-6372	242	3	minimized	minimized	ADJ
ejpam-6372	242	4	crossing	crossing	NOUN
ejpam-6372	242	5	and	and	CCONJ
ejpam-6372	242	6	increased	increase	VERB
ejpam-6372	242	7	planarity	planarity	NOUN
ejpam-6372	242	8	value	value	NOUN
ejpam-6372	242	9	.	.	PUNCT
ejpam-6372	243	1	1	1	X
ejpam-6372	243	2	.	.	X
ejpam-6372	243	3	begin	begin	VERB
ejpam-6372	243	4	2	2	NUM
ejpam-6372	243	5	.	.	X
ejpam-6372	243	6	compute	compute	VERB
ejpam-6372	243	7	the	the	DET
ejpam-6372	243	8	strength	strength	NOUN
ejpam-6372	243	9	of	of	ADP
ejpam-6372	243	10	the	the	DET
ejpam-6372	243	11	edge	edge	NOUN
ejpam-6372	243	12	ei	ei	NOUN
ejpam-6372	243	13	,	,	PUNCT
ejpam-6372	243	14	where	where	SCONJ
ejpam-6372	243	15	i	i	PRON
ejpam-6372	243	16	=	=	NOUN
ejpam-6372	243	17	1	1	NUM
ejpam-6372	243	18	,	,	PUNCT
ejpam-6372	243	19	2	2	NUM
ejpam-6372	243	20	,	,	PUNCT
ejpam-6372	243	21	.	.	PUNCT
ejpam-6372	243	22	.	.	PUNCT
ejpam-6372	244	1	.	.	PUNCT
ejpam-6372	245	1	,	,	PUNCT
ejpam-6372	245	2	n	n	CCONJ
ejpam-6372	245	3	by	by	ADP
ejpam-6372	245	4	using	use	VERB
ejpam-6372	245	5	the	the	DET
ejpam-6372	245	6	formula	formula	NOUN
ejpam-6372	245	7	ζrs	ζrs	NOUN
ejpam-6372	245	8	=	=	SYM
ejpam-6372	245	9	(	(	PUNCT
ejpam-6372	245	10	µrs	µrs	PROPN
ejpam-6372	245	11	,	,	PUNCT
ejpam-6372	245	12	γrs	γrs	NOUN
ejpam-6372	245	13	)	)	PUNCT
ejpam-6372	245	14	=	=	SYM
ejpam-6372	245	15	(	(	PUNCT
ejpam-6372	245	16	µn	µn	PROPN
ejpam-6372	245	17	(	(	PUNCT
ejpam-6372	245	18	rs)j	rs)j	PROPN
ejpam-6372	245	19	µm	µm	X
ejpam-6372	245	20	(	(	PUNCT
ejpam-6372	245	21	r	r	NOUN
ejpam-6372	245	22	)	)	PUNCT
ejpam-6372	245	23	∧	∧	PROPN
ejpam-6372	245	24	µm	µm	ADP
ejpam-6372	245	25	(	(	PUNCT
ejpam-6372	245	26	s	s	PROPN
ejpam-6372	245	27	)	)	PUNCT
ejpam-6372	245	28	,	,	PUNCT
ejpam-6372	245	29	γn	γn	X
ejpam-6372	245	30	(	(	PUNCT
ejpam-6372	245	31	rs)j	rs)j	NUM
ejpam-6372	245	32	γm	γm	ADJ
ejpam-6372	245	33	(	(	PUNCT
ejpam-6372	245	34	r	r	NOUN
ejpam-6372	245	35	)	)	PUNCT
ejpam-6372	245	36	∧	∧	NOUN
ejpam-6372	245	37	γm	γm	X
ejpam-6372	245	38	(	(	PUNCT
ejpam-6372	245	39	s	s	NOUN
ejpam-6372	245	40	)	)	PUNCT
ejpam-6372	245	41	)	)	PUNCT
ejpam-6372	245	42	obbu	obbu	PROPN
ejpam-6372	245	43	ramesh	ramesh	PROPN
ejpam-6372	245	44	et.al	et.al	PROPN
ejpam-6372	245	45	/	/	SYM
ejpam-6372	245	46	eur	eur	PROPN
ejpam-6372	245	47	.	.	PUNCT
ejpam-6372	246	1	j.	j.	PROPN
ejpam-6372	246	2	pure	pure	PROPN
ejpam-6372	246	3	appl	appl	PROPN
ejpam-6372	246	4	.	.	PROPN
ejpam-6372	246	5	math	math	PROPN
ejpam-6372	246	6	,	,	PUNCT
ejpam-6372	246	7	18	18	NUM
ejpam-6372	246	8	(	(	PUNCT
ejpam-6372	246	9	3	3	NUM
ejpam-6372	246	10	)	)	PUNCT
ejpam-6372	246	11	(	(	PUNCT
ejpam-6372	246	12	2025	2025	NUM
ejpam-6372	246	13	)	)	PUNCT
ejpam-6372	246	14	,	,	PUNCT
ejpam-6372	246	15	6372	6372	NUM
ejpam-6372	246	16	14	14	NUM
ejpam-6372	246	17	of	of	ADP
ejpam-6372	246	18	17	17	NUM
ejpam-6372	246	19	3	3	NUM
ejpam-6372	246	20	.	.	NOUN
ejpam-6372	246	21	3	3	NUM
ejpam-6372	246	22	.	.	X
ejpam-6372	246	23	determine	determine	VERB
ejpam-6372	246	24	the	the	DET
ejpam-6372	246	25	intersecting	intersecting	ADJ
ejpam-6372	246	26	point	point	NOUN
ejpam-6372	246	27	between	between	ADP
ejpam-6372	246	28	edges	edge	NOUN
ejpam-6372	246	29	by	by	ADP
ejpam-6372	246	30	using	use	VERB
ejpam-6372	246	31	the	the	DET
ejpam-6372	246	32	formula	formula	NOUN
ejpam-6372	246	33	ζp	ζp	ADP
ejpam-6372	246	34	=	=	PUNCT
ejpam-6372	246	35	(	(	PUNCT
ejpam-6372	246	36	µp	µp	PROPN
ejpam-6372	246	37	,	,	PUNCT
ejpam-6372	246	38	γp	γp	PROPN
ejpam-6372	246	39	)	)	PUNCT
ejpam-6372	247	1	=	=	PRON
ejpam-6372	247	2	(	(	PUNCT
ejpam-6372	247	3	µrs	µrs	PRON
ejpam-6372	248	1	+	+	CCONJ
ejpam-6372	248	2	µuv	µuv	PROPN
ejpam-6372	248	3	2	2	NUM
ejpam-6372	248	4	,	,	PUNCT
ejpam-6372	248	5	γrs	γrs	VERB
ejpam-6372	248	6	+	+	CCONJ
ejpam-6372	248	7	γuv	γuv	X
ejpam-6372	248	8	2	2	NUM
ejpam-6372	248	9	)	)	PUNCT
ejpam-6372	248	10	4	4	NUM
ejpam-6372	248	11	.	.	NOUN
ejpam-6372	248	12	4	4	NUM
ejpam-6372	248	13	.	.	X
ejpam-6372	248	14	find	find	VERB
ejpam-6372	248	15	the	the	DET
ejpam-6372	248	16	intuitionistic	intuitionistic	ADJ
ejpam-6372	248	17	pythagorean	pythagorean	ADJ
ejpam-6372	248	18	fuzzy	fuzzy	ADJ
ejpam-6372	248	19	planarity	planarity	NOUN
ejpam-6372	248	20	value	value	NOUN
ejpam-6372	248	21	defined	define	VERB
ejpam-6372	248	22	as	as	ADP
ejpam-6372	248	23	ξ	ξ	X
ejpam-6372	248	24	=	=	SYM
ejpam-6372	248	25	(	(	PUNCT
ejpam-6372	248	26	ξµ	ξµ	NOUN
ejpam-6372	248	27	,	,	PUNCT
ejpam-6372	248	28	ξγ	ξγ	VERB
ejpam-6372	248	29	)	)	PUNCT
ejpam-6372	248	30	=	=	SYM
ejpam-6372	249	1	(	(	PUNCT
ejpam-6372	249	2	1	1	NUM
ejpam-6372	249	3	1	1	NUM
ejpam-6372	249	4	+	+	CCONJ
ejpam-6372	249	5	µζ1	µζ1	X
ejpam-6372	249	6	+	+	NOUN
ejpam-6372	249	7	µζ2	µζ2	PROPN
ejpam-6372	249	8	+	+	X
ejpam-6372	249	9	·	·	PUNCT
ejpam-6372	249	10	·	·	PUNCT
ejpam-6372	249	11	·	·	PUNCT
ejpam-6372	249	12	+	+	NUM
ejpam-6372	249	13	µζn	µζn	NOUN
ejpam-6372	249	14	,	,	PUNCT
ejpam-6372	249	15	1	1	NUM
ejpam-6372	249	16	1	1	NUM
ejpam-6372	249	17	+	+	NUM
ejpam-6372	249	18	γζ1	γζ1	NOUN
ejpam-6372	249	19	+	+	CCONJ
ejpam-6372	249	20	γζ2	γζ2	NOUN
ejpam-6372	249	21	+	+	CCONJ
ejpam-6372	249	22	·	·	PUNCT
ejpam-6372	249	23	·	·	PUNCT
ejpam-6372	249	24	·	·	PUNCT
ejpam-6372	249	25	+	+	NUM
ejpam-6372	249	26	γζn	γζn	NOUN
ejpam-6372	249	27	)	)	PUNCT
ejpam-6372	249	28	5	5	X
ejpam-6372	249	29	.	.	X
ejpam-6372	249	30	keep	keep	VERB
ejpam-6372	249	31	the	the	DET
ejpam-6372	249	32	graphical	graphical	ADJ
ejpam-6372	249	33	representation	representation	NOUN
ejpam-6372	249	34	of	of	ADP
ejpam-6372	249	35	the	the	DET
ejpam-6372	249	36	edges	edge	NOUN
ejpam-6372	249	37	ejand	ejand	VERB
ejpam-6372	249	38	ek	ek	NOUN
ejpam-6372	249	39	,	,	PUNCT
ejpam-6372	249	40	if	if	SCONJ
ejpam-6372	249	41	ξµ	ξµ	PROPN
ejpam-6372	249	42	>	>	X
ejpam-6372	249	43	0.5	0.5	NUM
ejpam-6372	249	44	and	and	CCONJ
ejpam-6372	249	45	ζγ	ζγ	X
ejpam-6372	249	46	<	<	X
ejpam-6372	249	47	0.86	0.86	NUM
ejpam-6372	249	48	otherwise	otherwise	ADV
ejpam-6372	249	49	change	change	VERB
ejpam-6372	249	50	the	the	DET
ejpam-6372	249	51	graphical	graphical	ADJ
ejpam-6372	249	52	representation	representation	NOUN
ejpam-6372	249	53	.	.	PUNCT
ejpam-6372	250	1	6	6	X
ejpam-6372	250	2	.	.	X
ejpam-6372	250	3	if	if	SCONJ
ejpam-6372	250	4	there	there	PRON
ejpam-6372	250	5	are	be	VERB
ejpam-6372	250	6	no	no	DET
ejpam-6372	250	7	new	new	ADJ
ejpam-6372	250	8	crossings	crossing	NOUN
ejpam-6372	250	9	in	in	ADP
ejpam-6372	250	10	the	the	DET
ejpam-6372	250	11	graphical	graphical	ADJ
ejpam-6372	250	12	representation	representation	NOUN
ejpam-6372	250	13	of	of	ADP
ejpam-6372	250	14	the	the	DET
ejpam-6372	250	15	edges	edge	NOUN
ejpam-6372	250	16	ej	ej	X
ejpam-6372	250	17	and	and	CCONJ
ejpam-6372	250	18	ek	ek	PROPN
ejpam-6372	250	19	,	,	PUNCT
ejpam-6372	250	20	then	then	ADV
ejpam-6372	250	21	modify	modify	VERB
ejpam-6372	250	22	it	it	PRON
ejpam-6372	250	23	,	,	PUNCT
ejpam-6372	250	24	if	if	SCONJ
ejpam-6372	250	25	not	not	PART
ejpam-6372	250	26	,	,	PUNCT
ejpam-6372	250	27	maintain	maintain	VERB
ejpam-6372	250	28	the	the	DET
ejpam-6372	250	29	prior	prior	ADJ
ejpam-6372	250	30	depiction	depiction	NOUN
ejpam-6372	250	31	.	.	PUNCT
ejpam-6372	251	1	7	7	X
ejpam-6372	251	2	.	.	X
ejpam-6372	251	3	the	the	DET
ejpam-6372	251	4	crossing	crossing	NOUN
ejpam-6372	251	5	and	and	CCONJ
ejpam-6372	251	6	planarity	planarity	NOUN
ejpam-6372	251	7	values	value	NOUN
ejpam-6372	251	8	will	will	AUX
ejpam-6372	251	9	be	be	AUX
ejpam-6372	251	10	reduced	reduce	VERB
ejpam-6372	251	11	and	and	CCONJ
ejpam-6372	251	12	raised	raise	VERB
ejpam-6372	251	13	,	,	PUNCT
ejpam-6372	251	14	respectively	respectively	ADV
ejpam-6372	251	15	,	,	PUNCT
ejpam-6372	251	16	by	by	ADP
ejpam-6372	251	17	altering	alter	VERB
ejpam-6372	251	18	the	the	DET
ejpam-6372	251	19	graphical	graphical	ADJ
ejpam-6372	251	20	depiction	depiction	NOUN
ejpam-6372	251	21	of	of	ADP
ejpam-6372	251	22	the	the	DET
ejpam-6372	251	23	edges	edge	NOUN
ejpam-6372	251	24	ej	ej	X
ejpam-6372	251	25	and	and	CCONJ
ejpam-6372	251	26	ek	ek	PROPN
ejpam-6372	251	27	.	.	PROPN
ejpam-6372	251	28	8	8	NUM
ejpam-6372	251	29	.	.	X
ejpam-6372	251	30	end	end	NOUN
ejpam-6372	251	31	5	5	NUM
ejpam-6372	251	32	.	.	PUNCT
ejpam-6372	252	1	comparative	comparative	ADJ
ejpam-6372	252	2	analysis	analysis	NOUN
ejpam-6372	252	3	pythagorean	pythagorean	PROPN
ejpam-6372	252	4	fuzzy	fuzzy	ADJ
ejpam-6372	252	5	graphs	graph	NOUN
ejpam-6372	252	6	,	,	PUNCT
ejpam-6372	252	7	a	a	DET
ejpam-6372	252	8	widely	widely	ADV
ejpam-6372	252	9	used	use	VERB
ejpam-6372	252	10	extension	extension	NOUN
ejpam-6372	252	11	of	of	ADP
ejpam-6372	252	12	fuzzy	fuzzy	ADJ
ejpam-6372	252	13	and	and	CCONJ
ejpam-6372	252	14	intuitionistic	intuitionistic	ADJ
ejpam-6372	252	15	fuzzy	fuzzy	ADJ
ejpam-6372	252	16	graphs	graph	NOUN
ejpam-6372	252	17	,	,	PUNCT
ejpam-6372	252	18	effectively	effectively	ADV
ejpam-6372	252	19	represent	represent	VERB
ejpam-6372	252	20	structural	structural	ADJ
ejpam-6372	252	21	relationships	relationship	NOUN
ejpam-6372	252	22	among	among	ADP
ejpam-6372	252	23	multiple	multiple	ADJ
ejpam-6372	252	24	objects	object	NOUN
ejpam-6372	252	25	when	when	SCONJ
ejpam-6372	252	26	the	the	DET
ejpam-6372	252	27	connections	connection	NOUN
ejpam-6372	252	28	between	between	ADP
ejpam-6372	252	29	them	they	PRON
ejpam-6372	252	30	are	be	AUX
ejpam-6372	252	31	uncertain	uncertain	ADJ
ejpam-6372	252	32	.	.	PUNCT
ejpam-6372	253	1	therefore	therefore	ADV
ejpam-6372	253	2	,	,	PUNCT
ejpam-6372	253	3	the	the	DET
ejpam-6372	253	4	method	method	NOUN
ejpam-6372	253	5	developed	develop	VERB
ejpam-6372	253	6	in	in	ADP
ejpam-6372	253	7	this	this	DET
ejpam-6372	253	8	article	article	NOUN
ejpam-6372	253	9	is	be	AUX
ejpam-6372	253	10	more	more	ADV
ejpam-6372	253	11	comprehensive	comprehensive	ADJ
ejpam-6372	253	12	than	than	ADP
ejpam-6372	253	13	existing	exist	VERB
ejpam-6372	253	14	approaches	approach	NOUN
ejpam-6372	253	15	based	base	VERB
ejpam-6372	253	16	on	on	ADP
ejpam-6372	253	17	fuzzy	fuzzy	ADJ
ejpam-6372	253	18	and	and	CCONJ
ejpam-6372	253	19	intuitionistic	intuitionistic	ADJ
ejpam-6372	253	20	fuzzy	fuzzy	ADJ
ejpam-6372	253	21	graphs	graph	NOUN
ejpam-6372	253	22	.	.	PUNCT
ejpam-6372	254	1	the	the	DET
ejpam-6372	254	2	results	result	NOUN
ejpam-6372	254	3	clearly	clearly	ADV
ejpam-6372	254	4	demonstrate	demonstrate	VERB
ejpam-6372	254	5	that	that	SCONJ
ejpam-6372	254	6	the	the	DET
ejpam-6372	254	7	proposed	propose	VERB
ejpam-6372	254	8	technique	technique	NOUN
ejpam-6372	254	9	,	,	PUNCT
ejpam-6372	254	10	which	which	PRON
ejpam-6372	254	11	utilizes	utilize	VERB
ejpam-6372	254	12	the	the	DET
ejpam-6372	254	13	intersection	intersection	NOUN
ejpam-6372	254	14	points	point	NOUN
ejpam-6372	254	15	between	between	ADP
ejpam-6372	254	16	edges	edge	NOUN
ejpam-6372	254	17	and	and	CCONJ
ejpam-6372	254	18	the	the	DET
ejpam-6372	254	19	intuitionistic	intuitionistic	ADJ
ejpam-6372	254	20	pythagorean	pythagorean	ADJ
ejpam-6372	254	21	fuzzy	fuzzy	ADJ
ejpam-6372	254	22	planarity	planarity	NOUN
ejpam-6372	254	23	value	value	NOUN
ejpam-6372	254	24	,	,	PUNCT
ejpam-6372	254	25	provides	provide	VERB
ejpam-6372	254	26	a	a	DET
ejpam-6372	254	27	more	more	ADV
ejpam-6372	254	28	refined	refined	ADJ
ejpam-6372	254	29	mechanism	mechanism	NOUN
ejpam-6372	254	30	for	for	ADP
ejpam-6372	254	31	handling	handle	VERB
ejpam-6372	254	32	higher	high	ADJ
ejpam-6372	254	33	levels	level	NOUN
ejpam-6372	254	34	of	of	ADP
ejpam-6372	254	35	uncertainty	uncertainty	NOUN
ejpam-6372	254	36	and	and	CCONJ
ejpam-6372	254	37	hesitation	hesitation	NOUN
ejpam-6372	254	38	.	.	PUNCT
ejpam-6372	255	1	pythagorean	pythagorean	PROPN
ejpam-6372	255	2	fuzzy	fuzzy	ADJ
ejpam-6372	255	3	graphs	graph	NOUN
ejpam-6372	255	4	(	(	PUNCT
ejpam-6372	255	5	pfgs	pfgs	ADJ
ejpam-6372	255	6	)	)	PUNCT
ejpam-6372	255	7	represent	represent	VERB
ejpam-6372	255	8	a	a	DET
ejpam-6372	255	9	more	more	ADV
ejpam-6372	255	10	generic	generic	ADJ
ejpam-6372	255	11	model	model	NOUN
ejpam-6372	255	12	capable	capable	ADJ
ejpam-6372	255	13	of	of	ADP
ejpam-6372	255	14	managing	manage	VERB
ejpam-6372	255	15	a	a	DET
ejpam-6372	255	16	wider	wide	ADJ
ejpam-6372	255	17	range	range	NOUN
ejpam-6372	255	18	of	of	ADP
ejpam-6372	255	19	uncertainty	uncertainty	NOUN
ejpam-6372	255	20	due	due	ADP
ejpam-6372	255	21	to	to	ADP
ejpam-6372	255	22	the	the	DET
ejpam-6372	255	23	pythagorean	pythagorean	PROPN
ejpam-6372	255	24	property	property	NOUN
ejpam-6372	255	25	.	.	PUNCT
ejpam-6372	256	1	although	although	SCONJ
ejpam-6372	256	2	both	both	DET
ejpam-6372	256	3	intuitionistic	intuitionistic	ADJ
ejpam-6372	256	4	fuzzy	fuzzy	ADJ
ejpam-6372	256	5	graphs	graph	NOUN
ejpam-6372	256	6	(	(	PUNCT
ejpam-6372	256	7	ifgs	ifgs	PROPN
ejpam-6372	256	8	)	)	PUNCT
ejpam-6372	256	9	and	and	CCONJ
ejpam-6372	256	10	pfgs	pfgs	NOUN
ejpam-6372	256	11	are	be	AUX
ejpam-6372	256	12	employed	employ	VERB
ejpam-6372	256	13	to	to	PART
ejpam-6372	256	14	model	model	VERB
ejpam-6372	256	15	uncertainty	uncertainty	NOUN
ejpam-6372	256	16	in	in	ADP
ejpam-6372	256	17	graph	graph	NOUN
ejpam-6372	256	18	topologies	topology	NOUN
ejpam-6372	256	19	,	,	PUNCT
ejpam-6372	256	20	pfgs	pfg	NOUN
ejpam-6372	256	21	are	be	AUX
ejpam-6372	256	22	better	well	ADV
ejpam-6372	256	23	suited	suit	VERB
ejpam-6372	256	24	to	to	PART
ejpam-6372	256	25	depict	depict	VERB
ejpam-6372	256	26	scenarios	scenario	NOUN
ejpam-6372	256	27	in	in	ADP
ejpam-6372	256	28	which	which	PRON
ejpam-6372	256	29	the	the	DET
ejpam-6372	256	30	sum	sum	NOUN
ejpam-6372	256	31	of	of	ADP
ejpam-6372	256	32	the	the	DET
ejpam-6372	256	33	degrees	degree	NOUN
ejpam-6372	256	34	of	of	ADP
ejpam-6372	256	35	membership	membership	NOUN
ejpam-6372	256	36	and	and	CCONJ
ejpam-6372	256	37	non	non	ADJ
ejpam-6372	256	38	-	-	ADJ
ejpam-6372	256	39	membership	membership	ADJ
ejpam-6372	256	40	exceeds	exceed	VERB
ejpam-6372	256	41	1	1	NUM
ejpam-6372	256	42	.	.	PUNCT
ejpam-6372	257	1	in	in	ADP
ejpam-6372	257	2	contrast	contrast	NOUN
ejpam-6372	257	3	,	,	PUNCT
ejpam-6372	257	4	ifgs	ifg	VERB
ejpam-6372	257	5	can	can	AUX
ejpam-6372	257	6	not	not	PART
ejpam-6372	257	7	effectively	effectively	ADV
ejpam-6372	257	8	represent	represent	VERB
ejpam-6372	257	9	such	such	ADJ
ejpam-6372	257	10	cases	case	NOUN
ejpam-6372	257	11	,	,	PUNCT
ejpam-6372	257	12	even	even	ADV
ejpam-6372	257	13	if	if	SCONJ
ejpam-6372	257	14	the	the	DET
ejpam-6372	257	15	squares	square	NOUN
ejpam-6372	257	16	of	of	ADP
ejpam-6372	257	17	these	these	DET
ejpam-6372	257	18	degrees	degree	NOUN
ejpam-6372	257	19	satisfy	satisfy	VERB
ejpam-6372	257	20	the	the	DET
ejpam-6372	257	21	required	require	VERB
ejpam-6372	257	22	constraints	constraint	NOUN
ejpam-6372	257	23	.	.	PUNCT
ejpam-6372	258	1	compared	compare	VERB
ejpam-6372	258	2	to	to	ADP
ejpam-6372	258	3	fuzzy	fuzzy	ADJ
ejpam-6372	258	4	sets	set	NOUN
ejpam-6372	258	5	and	and	CCONJ
ejpam-6372	258	6	intuitionistic	intuitionistic	ADJ
ejpam-6372	258	7	fuzzy	fuzzy	ADJ
ejpam-6372	258	8	sets	set	NOUN
ejpam-6372	258	9	(	(	PUNCT
ejpam-6372	258	10	ifss	ifss	NOUN
ejpam-6372	258	11	)	)	PUNCT
ejpam-6372	258	12	,	,	PUNCT
ejpam-6372	258	13	pythagorean	pythagorean	PROPN
ejpam-6372	258	14	fuzzy	fuzzy	ADJ
ejpam-6372	258	15	sets	set	NOUN
ejpam-6372	258	16	and	and	CCONJ
ejpam-6372	258	17	pfgs	pfgs	ADJ
ejpam-6372	258	18	offer	offer	VERB
ejpam-6372	258	19	enhanced	enhance	VERB
ejpam-6372	258	20	flexibility	flexibility	NOUN
ejpam-6372	258	21	for	for	ADP
ejpam-6372	258	22	managing	manage	VERB
ejpam-6372	258	23	human	human	ADJ
ejpam-6372	258	24	judgment	judgment	NOUN
ejpam-6372	258	25	data	datum	NOUN
ejpam-6372	258	26	.	.	PUNCT
ejpam-6372	259	1	pfgs	pfgs	PROPN
ejpam-6372	259	2	are	be	AUX
ejpam-6372	259	3	viewed	view	VERB
ejpam-6372	259	4	as	as	ADP
ejpam-6372	259	5	more	more	ADV
ejpam-6372	259	6	powerful	powerful	ADJ
ejpam-6372	259	7	and	and	CCONJ
ejpam-6372	259	8	ap	ap	ADJ
ejpam-6372	259	9	-	-	PUNCT
ejpam-6372	259	10	plicable	plicable	NOUN
ejpam-6372	259	11	than	than	ADP
ejpam-6372	259	12	fuzzy	fuzzy	ADJ
ejpam-6372	259	13	graphs	graph	NOUN
ejpam-6372	259	14	and	and	CCONJ
ejpam-6372	259	15	ifgs	ifg	VERB
ejpam-6372	259	16	when	when	SCONJ
ejpam-6372	259	17	it	it	PRON
ejpam-6372	259	18	comes	come	VERB
ejpam-6372	259	19	to	to	ADP
ejpam-6372	259	20	managing	manage	VERB
ejpam-6372	259	21	uncertainty	uncertainty	NOUN
ejpam-6372	259	22	and	and	CCONJ
ejpam-6372	259	23	incomplete	incomplete	ADJ
ejpam-6372	259	24	data	datum	NOUN
ejpam-6372	259	25	.	.	PUNCT
ejpam-6372	260	1	obbu	obbu	PROPN
ejpam-6372	260	2	ramesh	ramesh	PROPN
ejpam-6372	260	3	et.al	et.al	PROPN
ejpam-6372	260	4	/	/	SYM
ejpam-6372	260	5	eur	eur	PROPN
ejpam-6372	260	6	.	.	PUNCT
ejpam-6372	261	1	j.	j.	PROPN
ejpam-6372	261	2	pure	pure	PROPN
ejpam-6372	261	3	appl	appl	PROPN
ejpam-6372	261	4	.	.	PROPN
ejpam-6372	261	5	math	math	PROPN
ejpam-6372	261	6	,	,	PUNCT
ejpam-6372	261	7	18	18	NUM
ejpam-6372	261	8	(	(	PUNCT
ejpam-6372	261	9	3	3	NUM
ejpam-6372	261	10	)	)	PUNCT
ejpam-6372	261	11	(	(	PUNCT
ejpam-6372	261	12	2025	2025	NUM
ejpam-6372	261	13	)	)	PUNCT
ejpam-6372	261	14	,	,	PUNCT
ejpam-6372	261	15	6372	6372	NUM
ejpam-6372	261	16	15	15	NUM
ejpam-6372	261	17	of	of	ADP
ejpam-6372	261	18	17	17	NUM
ejpam-6372	261	19	6	6	NUM
ejpam-6372	261	20	.	.	PUNCT
ejpam-6372	262	1	conclusion	conclusion	NOUN
ejpam-6372	262	2	a	a	DET
ejpam-6372	262	3	fuzzy	fuzzy	ADJ
ejpam-6372	262	4	graph	graph	NOUN
ejpam-6372	262	5	can	can	AUX
ejpam-6372	262	6	effectively	effectively	ADV
ejpam-6372	262	7	represent	represent	VERB
ejpam-6372	262	8	the	the	DET
ejpam-6372	262	9	uncertainty	uncertainty	NOUN
ejpam-6372	262	10	present	present	ADJ
ejpam-6372	262	11	in	in	ADP
ejpam-6372	262	12	various	various	ADJ
ejpam-6372	262	13	types	type	NOUN
ejpam-6372	262	14	of	of	ADP
ejpam-6372	262	15	networks	network	NOUN
ejpam-6372	262	16	.	.	PUNCT
ejpam-6372	263	1	com	com	NOUN
ejpam-6372	263	2	-	-	PUNCT
ejpam-6372	263	3	pared	pare	VERB
ejpam-6372	263	4	to	to	ADP
ejpam-6372	263	5	classical	classical	ADJ
ejpam-6372	263	6	,	,	PUNCT
ejpam-6372	263	7	fuzzy	fuzzy	ADJ
ejpam-6372	263	8	,	,	PUNCT
ejpam-6372	263	9	and	and	CCONJ
ejpam-6372	263	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	263	11	fuzzy	fuzzy	ADJ
ejpam-6372	263	12	models	model	NOUN
ejpam-6372	263	13	,	,	PUNCT
ejpam-6372	263	14	pythagorean	pythagorean	PROPN
ejpam-6372	263	15	fuzzy	fuzzy	ADJ
ejpam-6372	263	16	models	model	NOUN
ejpam-6372	263	17	offer	offer	VERB
ejpam-6372	263	18	greater	great	ADJ
ejpam-6372	263	19	pre	pre	NOUN
ejpam-6372	263	20	-	-	NOUN
ejpam-6372	263	21	cision	cision	ADJ
ejpam-6372	263	22	,	,	PUNCT
ejpam-6372	263	23	flexibility	flexibility	NOUN
ejpam-6372	263	24	,	,	PUNCT
ejpam-6372	263	25	and	and	CCONJ
ejpam-6372	263	26	compatibility	compatibility	NOUN
ejpam-6372	263	27	for	for	ADP
ejpam-6372	263	28	such	such	ADJ
ejpam-6372	263	29	systems	system	NOUN
ejpam-6372	263	30	.	.	PUNCT
ejpam-6372	264	1	in	in	ADP
ejpam-6372	264	2	this	this	DET
ejpam-6372	264	3	paper	paper	NOUN
ejpam-6372	264	4	,	,	PUNCT
ejpam-6372	264	5	we	we	PRON
ejpam-6372	264	6	introduce	introduce	VERB
ejpam-6372	264	7	the	the	DET
ejpam-6372	264	8	concept	concept	NOUN
ejpam-6372	264	9	of	of	ADP
ejpam-6372	264	10	intui	intui	ADJ
ejpam-6372	264	11	-	-	PUNCT
ejpam-6372	264	12	tionistic	tionistic	ADJ
ejpam-6372	264	13	pythagorean	pythagorean	ADJ
ejpam-6372	264	14	fuzzy	fuzzy	ADJ
ejpam-6372	264	15	graphs	graph	NOUN
ejpam-6372	264	16	(	(	PUNCT
ejpam-6372	264	17	ipfgs	ipfgs	NOUN
ejpam-6372	264	18	)	)	PUNCT
ejpam-6372	264	19	.	.	PUNCT
ejpam-6372	265	1	we	we	PRON
ejpam-6372	265	2	have	have	AUX
ejpam-6372	265	3	developed	develop	VERB
ejpam-6372	265	4	a	a	DET
ejpam-6372	265	5	set	set	NOUN
ejpam-6372	265	6	of	of	ADP
ejpam-6372	265	7	operational	operational	ADJ
ejpam-6372	265	8	laws	law	NOUN
ejpam-6372	265	9	for	for	ADP
ejpam-6372	265	10	ipfgs	ipfgs	NOUN
ejpam-6372	265	11	and	and	CCONJ
ejpam-6372	265	12	examined	examine	VERB
ejpam-6372	265	13	their	their	PRON
ejpam-6372	265	14	related	relate	VERB
ejpam-6372	265	15	theorems	theorem	NOUN
ejpam-6372	265	16	in	in	ADP
ejpam-6372	265	17	detail	detail	NOUN
ejpam-6372	265	18	.	.	PUNCT
ejpam-6372	266	1	we	we	PRON
ejpam-6372	266	2	also	also	ADV
ejpam-6372	266	3	determine	determine	VERB
ejpam-6372	266	4	the	the	DET
ejpam-6372	266	5	planarity	planarity	NOUN
ejpam-6372	266	6	of	of	ADP
ejpam-6372	266	7	ipfgs	ipfgs	NOUN
ejpam-6372	266	8	formed	form	VERB
ejpam-6372	266	9	through	through	ADP
ejpam-6372	266	10	certain	certain	ADJ
ejpam-6372	266	11	operations	operation	NOUN
ejpam-6372	266	12	.	.	PUNCT
ejpam-6372	267	1	the	the	DET
ejpam-6372	267	2	intersecting	intersecting	ADJ
ejpam-6372	267	3	value	value	NOUN
ejpam-6372	267	4	and	and	CCONJ
ejpam-6372	267	5	the	the	DET
ejpam-6372	267	6	pythagorean	pythagorean	PROPN
ejpam-6372	267	7	fuzzy	fuzzy	ADJ
ejpam-6372	267	8	planarity	planarity	NOUN
ejpam-6372	267	9	value	value	NOUN
ejpam-6372	267	10	are	be	AUX
ejpam-6372	267	11	then	then	ADV
ejpam-6372	267	12	used	use	VERB
ejpam-6372	267	13	to	to	PART
ejpam-6372	267	14	define	define	VERB
ejpam-6372	267	15	the	the	DET
ejpam-6372	267	16	planarity	planarity	NOUN
ejpam-6372	267	17	of	of	ADP
ejpam-6372	267	18	a	a	DET
ejpam-6372	267	19	pythagorean	pythagorean	ADJ
ejpam-6372	267	20	fuzzy	fuzzy	ADJ
ejpam-6372	267	21	graph	graph	NOUN
ejpam-6372	267	22	.	.	PUNCT
ejpam-6372	268	1	in	in	ADP
ejpam-6372	268	2	addition	addition	NOUN
ejpam-6372	268	3	,	,	PUNCT
ejpam-6372	268	4	we	we	PRON
ejpam-6372	268	5	demonstrate	demonstrate	VERB
ejpam-6372	268	6	that	that	SCONJ
ejpam-6372	268	7	certain	certain	ADJ
ejpam-6372	268	8	theorems	theorem	NOUN
ejpam-6372	268	9	establish	establish	VERB
ejpam-6372	268	10	bounds	bound	NOUN
ejpam-6372	268	11	for	for	ADP
ejpam-6372	268	12	both	both	CCONJ
ejpam-6372	268	13	general	general	ADJ
ejpam-6372	268	14	and	and	CCONJ
ejpam-6372	268	15	specific	specific	ADJ
ejpam-6372	268	16	planarity	planarity	NOUN
ejpam-6372	268	17	values	value	NOUN
ejpam-6372	268	18	of	of	ADP
ejpam-6372	268	19	a	a	DET
ejpam-6372	268	20	pythagorean	pythagorean	ADJ
ejpam-6372	268	21	fuzzy	fuzzy	ADJ
ejpam-6372	268	22	graph	graph	NOUN
ejpam-6372	268	23	.	.	PUNCT
ejpam-6372	269	1	subsequently	subsequently	ADV
ejpam-6372	269	2	,	,	PUNCT
ejpam-6372	269	3	related	related	ADJ
ejpam-6372	269	4	theorems	theorem	NOUN
ejpam-6372	269	5	and	and	CCONJ
ejpam-6372	269	6	applications	application	NOUN
ejpam-6372	269	7	of	of	ADP
ejpam-6372	269	8	strong	strong	ADJ
ejpam-6372	269	9	and	and	CCONJ
ejpam-6372	269	10	weak	weak	ADJ
ejpam-6372	269	11	planarity	planarity	NOUN
ejpam-6372	269	12	are	be	AUX
ejpam-6372	269	13	presented	present	VERB
ejpam-6372	269	14	and	and	CCONJ
ejpam-6372	269	15	de	de	VERB
ejpam-6372	269	16	-	-	VERB
ejpam-6372	269	17	fined	fined	ADJ
ejpam-6372	269	18	.	.	PUNCT
ejpam-6372	270	1	finally	finally	ADV
ejpam-6372	270	2	,	,	PUNCT
ejpam-6372	270	3	the	the	DET
ejpam-6372	270	4	applicability	applicability	NOUN
ejpam-6372	270	5	of	of	ADP
ejpam-6372	270	6	the	the	DET
ejpam-6372	270	7	proposed	propose	VERB
ejpam-6372	270	8	generalization	generalization	NOUN
ejpam-6372	270	9	of	of	ADP
ejpam-6372	270	10	fuzzy	fuzzy	ADJ
ejpam-6372	270	11	graph	graph	NOUN
ejpam-6372	270	12	theory	theory	NOUN
ejpam-6372	270	13	is	be	AUX
ejpam-6372	270	14	demonstrated	demonstrate	VERB
ejpam-6372	270	15	through	through	ADP
ejpam-6372	270	16	an	an	DET
ejpam-6372	270	17	application	application	NOUN
ejpam-6372	270	18	based	base	VERB
ejpam-6372	270	19	on	on	ADP
ejpam-6372	270	20	intuitionistic	intuitionistic	ADJ
ejpam-6372	270	21	pythagorean	pythagorean	ADJ
ejpam-6372	270	22	fuzzy	fuzzy	ADJ
ejpam-6372	270	23	preference	preference	NOUN
ejpam-6372	270	24	graphs	graph	NOUN
ejpam-6372	270	25	(	(	PUNCT
ejpam-6372	270	26	ipfgs	ipfgs	NOUN
ejpam-6372	270	27	)	)	PUNCT
ejpam-6372	270	28	.	.	PUNCT
ejpam-6372	271	1	our	our	PRON
ejpam-6372	271	2	future	future	ADJ
ejpam-6372	271	3	research	research	NOUN
ejpam-6372	271	4	will	will	AUX
ejpam-6372	271	5	focus	focus	VERB
ejpam-6372	271	6	on	on	ADP
ejpam-6372	271	7	:	:	PUNCT
ejpam-6372	271	8	(	(	PUNCT
ejpam-6372	271	9	1	1	X
ejpam-6372	271	10	)	)	PUNCT
ejpam-6372	271	11	interval	interval	NOUN
ejpam-6372	271	12	-	-	PUNCT
ejpam-6372	271	13	valued	value	VERB
ejpam-6372	271	14	intuitionistic	intuitionistic	ADJ
ejpam-6372	271	15	pythagorean	pythagorean	ADJ
ejpam-6372	271	16	fuzzy	fuzzy	ADJ
ejpam-6372	271	17	graphs	graph	NOUN
ejpam-6372	271	18	,	,	PUNCT
ejpam-6372	271	19	(	(	PUNCT
ejpam-6372	271	20	2	2	X
ejpam-6372	271	21	)	)	PUNCT
ejpam-6372	271	22	simplified	simplify	VERB
ejpam-6372	271	23	inter	inter	ADJ
ejpam-6372	271	24	-	-	ADJ
ejpam-6372	271	25	val	val	ADV
ejpam-6372	271	26	-	-	PUNCT
ejpam-6372	271	27	valued	value	VERB
ejpam-6372	271	28	intuitionistic	intuitionistic	ADJ
ejpam-6372	271	29	pythagorean	pythagorean	ADJ
ejpam-6372	271	30	fuzzy	fuzzy	ADJ
ejpam-6372	271	31	graphs	graph	NOUN
ejpam-6372	271	32	,	,	PUNCT
ejpam-6372	271	33	and	and	CCONJ
ejpam-6372	271	34	(	(	PUNCT
ejpam-6372	271	35	3	3	X
ejpam-6372	271	36	)	)	PUNCT
ejpam-6372	271	37	hesitant	hesitant	ADJ
ejpam-6372	271	38	intuitionistic	intuitionistic	ADJ
ejpam-6372	271	39	pythagorean	pythagorean	ADJ
ejpam-6372	271	40	fuzzy	fuzzy	ADJ
ejpam-6372	271	41	graphs	graph	NOUN
ejpam-6372	271	42	.	.	PUNCT
ejpam-6372	272	1	further	further	ADJ
ejpam-6372	272	2	studies	study	NOUN
ejpam-6372	272	3	should	should	AUX
ejpam-6372	272	4	also	also	ADV
ejpam-6372	272	5	explore	explore	VERB
ejpam-6372	272	6	planarity	planarity	NOUN
ejpam-6372	272	7	,	,	PUNCT
ejpam-6372	272	8	expressions	expression	NOUN
ejpam-6372	272	9	,	,	PUNCT
ejpam-6372	272	10	and	and	CCONJ
ejpam-6372	272	11	dual	dual	ADJ
ejpam-6372	272	12	structures	structure	NOUN
ejpam-6372	272	13	in	in	ADP
ejpam-6372	272	14	pythagorean	pythagorean	PROPN
ejpam-6372	272	15	fuzzy	fuzzy	ADJ
ejpam-6372	272	16	graphs	graph	NOUN
ejpam-6372	272	17	.	.	PUNCT
ejpam-6372	273	1	author	author	NOUN
ejpam-6372	273	2	declarations	declaration	VERB
ejpam-6372	273	3	conflict	conflict	NOUN
ejpam-6372	273	4	of	of	ADP
ejpam-6372	273	5	interest	interest	NOUN
ejpam-6372	273	6	:	:	PUNCT
ejpam-6372	273	7	the	the	DET
ejpam-6372	273	8	authors	author	NOUN
ejpam-6372	273	9	have	have	VERB
ejpam-6372	273	10	no	no	DET
ejpam-6372	273	11	conflicts	conflict	NOUN
ejpam-6372	273	12	to	to	PART
ejpam-6372	273	13	disclose	disclose	VERB
ejpam-6372	273	14	.	.	PUNCT
ejpam-6372	274	1	author	author	NOUN
ejpam-6372	274	2	contributions	contribution	NOUN
ejpam-6372	274	3	:	:	PUNCT
ejpam-6372	274	4	obbu	obbu	PROPN
ejpam-6372	274	5	ramesh	ramesh	PROPN
ejpam-6372	274	6	:	:	PUNCT
ejpam-6372	274	7	mathematical	mathematical	ADJ
ejpam-6372	274	8	analysis	analysis	NOUN
ejpam-6372	274	9	,	,	PUNCT
ejpam-6372	274	10	investigation	investigation	NOUN
ejpam-6372	274	11	(	(	PUNCT
ejpam-6372	274	12	equal	equal	ADJ
ejpam-6372	274	13	)	)	PUNCT
ejpam-6372	274	14	.	.	PUNCT
ejpam-6372	275	1	nainaru	nainaru	PROPN
ejpam-6372	275	2	tarakaramu	tarakaramu	PROPN
ejpam-6372	275	3	:	:	PUNCT
ejpam-6372	275	4	editing	edit	VERB
ejpam-6372	275	5	review	review	NOUN
ejpam-6372	275	6	,	,	PUNCT
ejpam-6372	275	7	super	super	ADJ
ejpam-6372	275	8	vision	vision	NOUN
ejpam-6372	275	9	(	(	PUNCT
ejpam-6372	275	10	equal	equal	ADJ
ejpam-6372	275	11	)	)	PUNCT
ejpam-6372	275	12	.	.	PUNCT
ejpam-6372	276	1	yuvaroopa	yuvaroopa	PROPN
ejpam-6372	276	2	lakshmi	lakshmi	PROPN
ejpam-6372	276	3	:	:	PUNCT
ejpam-6372	276	4	developed	develop	VERB
ejpam-6372	276	5	the	the	DET
ejpam-6372	276	6	theory	theory	NOUN
ejpam-6372	276	7	and	and	CCONJ
ejpam-6372	276	8	performed	perform	VERB
ejpam-6372	276	9	the	the	DET
ejpam-6372	276	10	computations	computation	NOUN
ejpam-6372	276	11	(	(	PUNCT
ejpam-6372	276	12	equal	equal	ADJ
ejpam-6372	276	13	)	)	PUNCT
ejpam-6372	276	14	.	.	PUNCT
ejpam-6372	277	1	sharief	sharief	PROPN
ejpam-6372	277	2	basha	basha	PROPN
ejpam-6372	277	3	s	s	PART
ejpam-6372	277	4	:	:	PUNCT
ejpam-6372	277	5	super	super	ADJ
ejpam-6372	277	6	vision	vision	NOUN
ejpam-6372	277	7	(	(	PUNCT
ejpam-6372	277	8	equal	equal	ADJ
ejpam-6372	277	9	)	)	PUNCT
ejpam-6372	277	10	.	.	PUNCT
ejpam-6372	278	1	sarvar	sarvar	NOUN
ejpam-6372	278	2	iskandarov	iskandarov	PROPN
ejpam-6372	278	3	:	:	PUNCT
ejpam-6372	278	4	investigation	investigation	NOUN
ejpam-6372	278	5	(	(	PUNCT
ejpam-6372	278	6	equal	equal	ADJ
ejpam-6372	278	7	)	)	PUNCT
ejpam-6372	278	8	.	.	PUNCT
ejpam-6372	279	1	akbar	akbar	PROPN
ejpam-6372	279	2	toyirov	toyirov	NOUN
ejpam-6372	279	3	:	:	PUNCT
ejpam-6372	279	4	verified	verify	VERB
ejpam-6372	279	5	the	the	DET
ejpam-6372	279	6	methodology	methodology	NOUN
ejpam-6372	279	7	(	(	PUNCT
ejpam-6372	279	8	equal	equal	ADJ
ejpam-6372	279	9	)	)	PUNCT
ejpam-6372	279	10	.	.	PUNCT
ejpam-6372	280	1	jushkinbek	jushkinbek	PROPN
ejpam-6372	280	2	yuldoshev	yuldoshev	PROPN
ejpam-6372	280	3	:	:	PUNCT
ejpam-6372	280	4	formulations	formulation	NOUN
ejpam-6372	280	5	,	,	PUNCT
ejpam-6372	280	6	verified	verify	VERB
ejpam-6372	280	7	the	the	DET
ejpam-6372	280	8	methodology	methodology	NOUN
ejpam-6372	280	9	(	(	PUNCT
ejpam-6372	280	10	equal	equal	ADJ
ejpam-6372	280	11	)	)	PUNCT
ejpam-6372	280	12	.	.	PUNCT
ejpam-6372	281	1	sardor	sardor	NOUN
ejpam-6372	281	2	.	.	PUNCT
ejpam-6372	282	1	sabirov	sabirov	PROPN
ejpam-6372	282	2	:	:	PUNCT
ejpam-6372	282	3	conceived	conceive	VERB
ejpam-6372	282	4	of	of	ADP
ejpam-6372	282	5	the	the	DET
ejpam-6372	282	6	presented	present	VERB
ejpam-6372	282	7	idea	idea	NOUN
ejpam-6372	282	8	(	(	PUNCT
ejpam-6372	282	9	equal).k	equal).k	PROPN
ejpam-6372	282	10	.	.	PROPN
ejpam-6372	282	11	k.	k.	PROPN
ejpam-6372	282	12	prashanth	prashanth	PROPN
ejpam-6372	282	13	:	:	PUNCT
ejpam-6372	282	14	review	review	NOUN
ejpam-6372	282	15	editing	editing	NOUN
ejpam-6372	282	16	,	,	PUNCT
ejpam-6372	282	17	developed	develop	VERB
ejpam-6372	282	18	the	the	DET
ejpam-6372	282	19	theory	theory	NOUN
ejpam-6372	282	20	and	and	CCONJ
ejpam-6372	282	21	performed	perform	VERB
ejpam-6372	282	22	the	the	DET
ejpam-6372	282	23	computations	computation	NOUN
ejpam-6372	282	24	(	(	PUNCT
ejpam-6372	282	25	equal	equal	ADJ
ejpam-6372	282	26	)	)	PUNCT
ejpam-6372	282	27	.	.	PUNCT
ejpam-6372	283	1	references	reference	NOUN
ejpam-6372	283	2	[	[	X
ejpam-6372	283	3	1	1	NUM
ejpam-6372	283	4	]	]	PUNCT
ejpam-6372	283	5	a.	a.	NOUN
ejpam-6372	283	6	pal	pal	NOUN
ejpam-6372	283	7	,	,	PUNCT
ejpam-6372	283	8	s.	s.	PROPN
ejpam-6372	283	9	samanta	samanta	PROPN
ejpam-6372	283	10	,	,	PUNCT
ejpam-6372	283	11	and	and	CCONJ
ejpam-6372	283	12	m.	m.	NOUN
ejpam-6372	283	13	pal	pal	PROPN
ejpam-6372	283	14	.	.	PUNCT
ejpam-6372	284	1	concept	concept	NOUN
ejpam-6372	284	2	of	of	ADP
ejpam-6372	284	3	fuzzy	fuzzy	ADJ
ejpam-6372	284	4	planar	planar	ADJ
ejpam-6372	284	5	graphs	graph	NOUN
ejpam-6372	284	6	.	.	PUNCT
ejpam-6372	285	1	in	in	ADP
ejpam-6372	285	2	proceedings	proceeding	NOUN
ejpam-6372	285	3	of	of	ADP
ejpam-6372	285	4	the	the	DET
ejpam-6372	285	5	science	science	NOUN
ejpam-6372	285	6	and	and	CCONJ
ejpam-6372	285	7	information	information	NOUN
ejpam-6372	285	8	conference	conference	NOUN
ejpam-6372	285	9	,	,	PUNCT
ejpam-6372	285	10	pages	page	NOUN
ejpam-6372	285	11	557–563	557–563	NUM
ejpam-6372	285	12	,	,	PUNCT
ejpam-6372	285	13	london	london	PROPN
ejpam-6372	285	14	,	,	PUNCT
ejpam-6372	285	15	uk	uk	PROPN
ejpam-6372	285	16	.	.	PUNCT
ejpam-6372	286	1	[	[	X
ejpam-6372	286	2	2	2	NUM
ejpam-6372	286	3	]	]	PUNCT
ejpam-6372	286	4	a.	a.	NOUN
ejpam-6372	286	5	pal	pal	NOUN
ejpam-6372	286	6	,	,	PUNCT
ejpam-6372	286	7	s.	s.	PROPN
ejpam-6372	286	8	samanta	samanta	PROPN
ejpam-6372	286	9	,	,	PUNCT
ejpam-6372	286	10	and	and	CCONJ
ejpam-6372	286	11	m.	m.	NOUN
ejpam-6372	286	12	pal	pal	NOUN
ejpam-6372	286	13	.	.	PUNCT
ejpam-6372	287	1	new	new	ADJ
ejpam-6372	287	2	concept	concept	NOUN
ejpam-6372	287	3	of	of	ADP
ejpam-6372	287	4	fuzzy	fuzzy	ADJ
ejpam-6372	287	5	planar	planar	ADJ
ejpam-6372	287	6	graphs	graph	NOUN
ejpam-6372	287	7	.	.	PUNCT
ejpam-6372	288	1	international	international	ADJ
ejpam-6372	288	2	journal	journal	NOUN
ejpam-6372	288	3	of	of	ADP
ejpam-6372	288	4	advanced	advanced	ADJ
ejpam-6372	288	5	research	research	NOUN
ejpam-6372	288	6	in	in	ADP
ejpam-6372	288	7	artificial	artificial	ADJ
ejpam-6372	288	8	intelligence	intelligence	NOUN
ejpam-6372	288	9	,	,	PUNCT
ejpam-6372	288	10	3:52–59	3:52–59	NUM
ejpam-6372	288	11	,	,	PUNCT
ejpam-6372	288	12	2014	2014	NUM
ejpam-6372	288	13	.	.	PUNCT
ejpam-6372	289	1	[	[	X
ejpam-6372	289	2	3	3	X
ejpam-6372	289	3	]	]	X
ejpam-6372	289	4	t.	t.	NOUN
ejpam-6372	289	5	pramanik	pramanik	NOUN
ejpam-6372	289	6	,	,	PUNCT
ejpam-6372	289	7	s.	s.	PROPN
ejpam-6372	289	8	samanta	samanta	PROPN
ejpam-6372	289	9	,	,	PUNCT
ejpam-6372	289	10	and	and	CCONJ
ejpam-6372	289	11	m.	m.	NOUN
ejpam-6372	289	12	pal	pal	PROPN
ejpam-6372	289	13	.	.	PUNCT
ejpam-6372	290	1	special	special	ADJ
ejpam-6372	290	2	planar	planar	ADJ
ejpam-6372	290	3	fuzzy	fuzzy	ADJ
ejpam-6372	290	4	graph	graph	NOUN
ejpam-6372	290	5	configurations	configuration	NOUN
ejpam-6372	290	6	.	.	PUNCT
ejpam-6372	291	1	international	international	ADJ
ejpam-6372	291	2	journal	journal	PROPN
ejpam-6372	291	3	of	of	ADP
ejpam-6372	291	4	scientific	scientific	ADJ
ejpam-6372	291	5	research	research	NOUN
ejpam-6372	291	6	publications	publication	NOUN
ejpam-6372	291	7	,	,	PUNCT
ejpam-6372	291	8	2:1–4	2:1–4	NOUN
ejpam-6372	291	9	,	,	PUNCT
ejpam-6372	291	10	2012	2012	NUM
ejpam-6372	291	11	.	.	PUNCT
ejpam-6372	292	1	[	[	X
ejpam-6372	292	2	4	4	X
ejpam-6372	292	3	]	]	PUNCT
ejpam-6372	292	4	l.	l.	PROPN
ejpam-6372	292	5	a.	a.	PROPN
ejpam-6372	292	6	zadeh	zadeh	PROPN
ejpam-6372	292	7	.	.	PUNCT
ejpam-6372	292	8	fuzzy	fuzzy	ADJ
ejpam-6372	292	9	sets	set	NOUN
ejpam-6372	292	10	.	.	PUNCT
ejpam-6372	293	1	information	information	NOUN
ejpam-6372	293	2	and	and	CCONJ
ejpam-6372	293	3	control	control	NOUN
ejpam-6372	293	4	,	,	PUNCT
ejpam-6372	293	5	8:338–353	8:338–353	NUM
ejpam-6372	293	6	,	,	PUNCT
ejpam-6372	293	7	1965	1965	NUM
ejpam-6372	293	8	.	.	PUNCT
ejpam-6372	294	1	[	[	X
ejpam-6372	294	2	5	5	NUM
ejpam-6372	294	3	]	]	PUNCT
ejpam-6372	294	4	a.	a.	NOUN
ejpam-6372	294	5	rosenfeld	rosenfeld	PROPN
ejpam-6372	294	6	.	.	PUNCT
ejpam-6372	295	1	fuzzy	fuzzy	ADJ
ejpam-6372	295	2	graphs	graph	NOUN
ejpam-6372	295	3	.	.	PUNCT
ejpam-6372	296	1	in	in	ADP
ejpam-6372	296	2	l.	l.	PROPN
ejpam-6372	296	3	a.	a.	PROPN
ejpam-6372	296	4	zadeh	zadeh	PROPN
ejpam-6372	296	5	,	,	PUNCT
ejpam-6372	296	6	k.	k.	PROPN
ejpam-6372	296	7	s.	s.	PROPN
ejpam-6372	296	8	fu	fu	PROPN
ejpam-6372	296	9	,	,	PUNCT
ejpam-6372	296	10	and	and	CCONJ
ejpam-6372	296	11	m.	m.	PROPN
ejpam-6372	296	12	shimura	shimura	PROPN
ejpam-6372	296	13	,	,	PUNCT
ejpam-6372	296	14	editors	editor	NOUN
ejpam-6372	296	15	,	,	PUNCT
ejpam-6372	296	16	fuzzy	fuzzy	ADJ
ejpam-6372	296	17	sets	set	NOUN
ejpam-6372	296	18	and	and	CCONJ
ejpam-6372	296	19	their	their	PRON
ejpam-6372	296	20	applications	application	NOUN
ejpam-6372	296	21	,	,	PUNCT
ejpam-6372	296	22	pages	page	NOUN
ejpam-6372	296	23	77–95	77–95	NUM
ejpam-6372	296	24	.	.	PUNCT
ejpam-6372	297	1	academic	academic	ADJ
ejpam-6372	297	2	press	press	NOUN
ejpam-6372	297	3	,	,	PUNCT
ejpam-6372	297	4	new	new	PROPN
ejpam-6372	297	5	york	york	PROPN
ejpam-6372	297	6	,	,	PUNCT
ejpam-6372	297	7	1975	1975	NUM
ejpam-6372	297	8	.	.	PUNCT
ejpam-6372	298	1	obbu	obbu	PROPN
ejpam-6372	298	2	ramesh	ramesh	PROPN
ejpam-6372	298	3	et.al	et.al	PROPN
ejpam-6372	298	4	/	/	SYM
ejpam-6372	298	5	eur	eur	PROPN
ejpam-6372	298	6	.	.	PUNCT
ejpam-6372	299	1	j.	j.	PROPN
ejpam-6372	299	2	pure	pure	PROPN
ejpam-6372	299	3	appl	appl	PROPN
ejpam-6372	299	4	.	.	PROPN
ejpam-6372	299	5	math	math	PROPN
ejpam-6372	299	6	,	,	PUNCT
ejpam-6372	299	7	18	18	NUM
ejpam-6372	299	8	(	(	PUNCT
ejpam-6372	299	9	3	3	NUM
ejpam-6372	299	10	)	)	PUNCT
ejpam-6372	299	11	(	(	PUNCT
ejpam-6372	299	12	2025	2025	NUM
ejpam-6372	299	13	)	)	PUNCT
ejpam-6372	299	14	,	,	PUNCT
ejpam-6372	299	15	6372	6372	NUM
ejpam-6372	299	16	16	16	NUM
ejpam-6372	299	17	of	of	ADP
ejpam-6372	299	18	17	17	NUM
ejpam-6372	299	19	[	[	SYM
ejpam-6372	299	20	6	6	NUM
ejpam-6372	299	21	]	]	PUNCT
ejpam-6372	299	22	r.	r.	PROPN
ejpam-6372	299	23	jaiswal	jaiswal	PROPN
ejpam-6372	299	24	and	and	CCONJ
ejpam-6372	299	25	s.	s.	PROPN
ejpam-6372	299	26	rai	rai	PROPN
ejpam-6372	299	27	.	.	PUNCT
ejpam-6372	300	1	application	application	NOUN
ejpam-6372	300	2	of	of	ADP
ejpam-6372	300	3	fuzzy	fuzzy	ADJ
ejpam-6372	300	4	graph	graph	NOUN
ejpam-6372	300	5	coloring	color	VERB
ejpam-6372	300	6	in	in	ADP
ejpam-6372	300	7	traffic	traffic	NOUN
ejpam-6372	300	8	light	light	NOUN
ejpam-6372	300	9	problem	problem	NOUN
ejpam-6372	300	10	.	.	PUNCT
ejpam-6372	301	1	international	international	ADJ
ejpam-6372	301	2	journal	journal	NOUN
ejpam-6372	301	3	of	of	ADP
ejpam-6372	301	4	innovative	innovative	ADJ
ejpam-6372	301	5	research	research	NOUN
ejpam-6372	301	6	in	in	ADP
ejpam-6372	301	7	science	science	NOUN
ejpam-6372	301	8	,	,	PUNCT
ejpam-6372	301	9	engineering	engineering	NOUN
ejpam-6372	301	10	and	and	CCONJ
ejpam-6372	301	11	technology	technology	NOUN
ejpam-6372	301	12	,	,	PUNCT
ejpam-6372	301	13	5:6950–6955	5:6950–6955	NUM
ejpam-6372	301	14	,	,	PUNCT
ejpam-6372	301	15	2016	2016	NUM
ejpam-6372	301	16	.	.	PUNCT
ejpam-6372	302	1	[	[	X
ejpam-6372	302	2	7	7	X
ejpam-6372	302	3	]	]	X
ejpam-6372	302	4	s.	s.	PROPN
ejpam-6372	302	5	lavanya	lavanya	PROPN
ejpam-6372	302	6	and	and	CCONJ
ejpam-6372	302	7	r.	r.	PROPN
ejpam-6372	302	8	sattanathan	sattanathan	PROPN
ejpam-6372	302	9	.	.	PUNCT
ejpam-6372	303	1	fuzzy	fuzzy	ADJ
ejpam-6372	303	2	total	total	ADJ
ejpam-6372	303	3	coloring	coloring	NOUN
ejpam-6372	303	4	of	of	ADP
ejpam-6372	303	5	fuzzy	fuzzy	ADJ
ejpam-6372	303	6	graphs	graph	NOUN
ejpam-6372	303	7	.	.	PUNCT
ejpam-6372	304	1	international	international	ADJ
ejpam-6372	304	2	journal	journal	PROPN
ejpam-6372	304	3	of	of	ADP
ejpam-6372	304	4	information	information	NOUN
ejpam-6372	304	5	technology	technology	NOUN
ejpam-6372	304	6	and	and	CCONJ
ejpam-6372	304	7	knowledge	knowledge	NOUN
ejpam-6372	304	8	management	management	NOUN
ejpam-6372	304	9	,	,	PUNCT
ejpam-6372	304	10	2:37–39	2:37–39	NUM
ejpam-6372	304	11	,	,	PUNCT
ejpam-6372	304	12	1998	1998	NUM
ejpam-6372	304	13	.	.	PUNCT
ejpam-6372	305	1	[	[	X
ejpam-6372	305	2	8	8	NUM
ejpam-6372	305	3	]	]	X
ejpam-6372	305	4	ch	ch	NOUN
ejpam-6372	305	5	.	.	PROPN
ejpam-6372	305	6	eslahchi	eslahchi	PROPN
ejpam-6372	305	7	and	and	CCONJ
ejpam-6372	305	8	b.	b.	PROPN
ejpam-6372	305	9	n.	n.	PROPN
ejpam-6372	305	10	onagh	onagh	PROPN
ejpam-6372	305	11	.	.	PUNCT
ejpam-6372	306	1	vertex	vertex	NOUN
ejpam-6372	306	2	strength	strength	NOUN
ejpam-6372	306	3	of	of	ADP
ejpam-6372	306	4	fuzzy	fuzzy	ADJ
ejpam-6372	306	5	graph	graph	NOUN
ejpam-6372	306	6	.	.	PUNCT
ejpam-6372	307	1	international	international	ADJ
ejpam-6372	307	2	journal	journal	PROPN
ejpam-6372	307	3	of	of	ADP
ejpam-6372	307	4	mathematics	mathematics	PROPN
ejpam-6372	307	5	and	and	CCONJ
ejpam-6372	307	6	mathematical	mathematical	ADJ
ejpam-6372	307	7	sciences	science	NOUN
ejpam-6372	307	8	,	,	PUNCT
ejpam-6372	307	9	pages	page	NOUN
ejpam-6372	307	10	article	article	NOUN
ejpam-6372	307	11	i	i	PROPN
ejpam-6372	307	12	d	d	PROPN
ejpam-6372	307	13	43614	43614	NUM
ejpam-6372	307	14	,	,	PUNCT
ejpam-6372	307	15	1–9	1–9	NUM
ejpam-6372	307	16	,	,	PUNCT
ejpam-6372	307	17	2006	2006	NUM
ejpam-6372	307	18	.	.	PUNCT
ejpam-6372	308	1	[	[	X
ejpam-6372	308	2	9	9	NUM
ejpam-6372	308	3	]	]	X
ejpam-6372	308	4	r.	r.	PROPN
ejpam-6372	308	5	a.	a.	PROPN
ejpam-6372	308	6	borzooei	borzooei	PROPN
ejpam-6372	308	7	,	,	PUNCT
ejpam-6372	308	8	h.	h.	PROPN
ejpam-6372	308	9	rashmanlou	rashmanlou	PROPN
ejpam-6372	308	10	,	,	PUNCT
ejpam-6372	308	11	s.	s.	PROPN
ejpam-6372	308	12	samanta	samanta	PROPN
ejpam-6372	308	13	,	,	PUNCT
ejpam-6372	308	14	and	and	CCONJ
ejpam-6372	308	15	m.	m.	NOUN
ejpam-6372	308	16	pal	pal	NOUN
ejpam-6372	308	17	.	.	PUNCT
ejpam-6372	309	1	a	a	DET
ejpam-6372	309	2	study	study	NOUN
ejpam-6372	309	3	on	on	ADP
ejpam-6372	309	4	fuzzy	fuzzy	ADJ
ejpam-6372	309	5	labelling	labelling	NOUN
ejpam-6372	309	6	graphs	graph	NOUN
ejpam-6372	309	7	.	.	PUNCT
ejpam-6372	310	1	journal	journal	NOUN
ejpam-6372	310	2	of	of	ADP
ejpam-6372	310	3	intelligent	intelligent	ADJ
ejpam-6372	310	4	and	and	CCONJ
ejpam-6372	310	5	fuzzy	fuzzy	ADJ
ejpam-6372	310	6	systems	system	NOUN
ejpam-6372	310	7	,	,	PUNCT
ejpam-6372	310	8	30:3349–3355	30:3349–3355	NUM
ejpam-6372	310	9	,	,	PUNCT
ejpam-6372	310	10	2016	2016	NUM
ejpam-6372	310	11	.	.	PUNCT
ejpam-6372	311	1	[	[	X
ejpam-6372	311	2	10	10	NUM
ejpam-6372	311	3	]	]	X
ejpam-6372	311	4	e.	e.	PROPN
ejpam-6372	311	5	mohammad	mohammad	PROPN
ejpam-6372	311	6	zadeh	zadeh	PROPN
ejpam-6372	311	7	.	.	PUNCT
ejpam-6372	312	1	a	a	DET
ejpam-6372	312	2	graph	graph	NOUN
ejpam-6372	312	3	associated	associate	VERB
ejpam-6372	312	4	to	to	ADP
ejpam-6372	312	5	a	a	DET
ejpam-6372	312	6	poly	poly	ADJ
ejpam-6372	312	7	group	group	NOUN
ejpam-6372	312	8	with	with	ADP
ejpam-6372	312	9	respect	respect	NOUN
ejpam-6372	312	10	to	to	ADP
ejpam-6372	312	11	an	an	DET
ejpam-6372	312	12	automorphism	automorphism	NOUN
ejpam-6372	312	13	.	.	PUNCT
ejpam-6372	313	1	journal	journal	NOUN
ejpam-6372	313	2	of	of	ADP
ejpam-6372	313	3	algebraic	algebraic	PROPN
ejpam-6372	313	4	hyperstructures	hyperstructure	NOUN
ejpam-6372	313	5	and	and	CCONJ
ejpam-6372	313	6	logical	logical	ADJ
ejpam-6372	313	7	algebras	algebra	NOUN
ejpam-6372	313	8	,	,	PUNCT
ejpam-6372	313	9	2:99–112	2:99–112	NUM
ejpam-6372	313	10	,	,	PUNCT
ejpam-6372	313	11	2021	2021	NUM
ejpam-6372	313	12	.	.	PUNCT
ejpam-6372	314	1	[	[	X
ejpam-6372	314	2	11	11	NUM
ejpam-6372	314	3	]	]	PUNCT
ejpam-6372	314	4	j.	j.	PROPN
ejpam-6372	314	5	n.	n.	PROPN
ejpam-6372	314	6	mordeson	mordeson	PROPN
ejpam-6372	314	7	and	and	CCONJ
ejpam-6372	314	8	s.	s.	PROPN
ejpam-6372	314	9	mathew	mathew	PROPN
ejpam-6372	314	10	.	.	PUNCT
ejpam-6372	315	1	sustainable	sustainable	ADJ
ejpam-6372	315	2	goals	goal	NOUN
ejpam-6372	315	3	in	in	ADP
ejpam-6372	315	4	combating	combat	VERB
ejpam-6372	315	5	human	human	ADJ
ejpam-6372	315	6	trafficking	trafficking	NOUN
ejpam-6372	315	7	:	:	PUNCT
ejpam-6372	315	8	analysis	analysis	NOUN
ejpam-6372	315	9	by	by	ADP
ejpam-6372	315	10	mathematics	mathematic	NOUN
ejpam-6372	315	11	of	of	ADP
ejpam-6372	315	12	uncertainty	uncertainty	NOUN
ejpam-6372	315	13	.	.	PUNCT
ejpam-6372	316	1	journal	journal	NOUN
ejpam-6372	316	2	of	of	ADP
ejpam-6372	316	3	algebraic	algebraic	PROPN
ejpam-6372	316	4	hyperstructures	hyperstructure	NOUN
ejpam-6372	316	5	and	and	CCONJ
ejpam-6372	316	6	logical	logical	ADJ
ejpam-6372	316	7	algebras	algebra	NOUN
ejpam-6372	316	8	,	,	PUNCT
ejpam-6372	316	9	1(1):49–59	1(1):49–59	NUM
ejpam-6372	316	10	,	,	PUNCT
ejpam-6372	316	11	2020	2020	NUM
ejpam-6372	316	12	.	.	PUNCT
ejpam-6372	317	1	[	[	X
ejpam-6372	317	2	12	12	NUM
ejpam-6372	317	3	]	]	PUNCT
ejpam-6372	317	4	j.	j.	PROPN
ejpam-6372	317	5	n.	n.	PROPN
ejpam-6372	317	6	mordeson	mordeson	PROPN
ejpam-6372	317	7	,	,	PUNCT
ejpam-6372	317	8	s.	s.	PROPN
ejpam-6372	317	9	mathew	mathew	PROPN
ejpam-6372	317	10	,	,	PUNCT
ejpam-6372	317	11	and	and	CCONJ
ejpam-6372	317	12	d.	d.	PROPN
ejpam-6372	317	13	s.	s.	PROPN
ejpam-6372	317	14	malik	malik	PROPN
ejpam-6372	317	15	.	.	PUNCT
ejpam-6372	318	1	fuzzy	fuzzy	ADJ
ejpam-6372	318	2	graph	graph	NOUN
ejpam-6372	318	3	theory	theory	NOUN
ejpam-6372	318	4	with	with	ADP
ejpam-6372	318	5	applications	application	NOUN
ejpam-6372	318	6	to	to	ADP
ejpam-6372	318	7	human	human	ADJ
ejpam-6372	318	8	trafficking	trafficking	NOUN
ejpam-6372	318	9	.	.	PUNCT
ejpam-6372	319	1	springer	springer	NOUN
ejpam-6372	319	2	,	,	PUNCT
ejpam-6372	319	3	2018	2018	NUM
ejpam-6372	319	4	.	.	PUNCT
ejpam-6372	320	1	[	[	X
ejpam-6372	320	2	13	13	NUM
ejpam-6372	320	3	]	]	PUNCT
ejpam-6372	320	4	j.	j.	PROPN
ejpam-6372	320	5	n.	n.	PROPN
ejpam-6372	320	6	mordeson	mordeson	PROPN
ejpam-6372	320	7	,	,	PUNCT
ejpam-6372	320	8	s.	s.	PROPN
ejpam-6372	320	9	mathew	mathew	PROPN
ejpam-6372	320	10	,	,	PUNCT
ejpam-6372	320	11	and	and	CCONJ
ejpam-6372	320	12	d.	d.	PROPN
ejpam-6372	320	13	s.	s.	PROPN
ejpam-6372	320	14	malik	malik	PROPN
ejpam-6372	320	15	.	.	PUNCT
ejpam-6372	321	1	fuzzy	fuzzy	ADJ
ejpam-6372	321	2	graph	graph	NOUN
ejpam-6372	321	3	theory	theory	NOUN
ejpam-6372	321	4	.	.	PUNCT
ejpam-6372	322	1	springer	springer	NOUN
ejpam-6372	322	2	,	,	PUNCT
ejpam-6372	322	3	2018	2018	NUM
ejpam-6372	322	4	.	.	PUNCT
ejpam-6372	323	1	[	[	X
ejpam-6372	323	2	14	14	NUM
ejpam-6372	323	3	]	]	X
ejpam-6372	323	4	h.	h.	PROPN
ejpam-6372	323	5	rashmanlou	rashmanlou	PROPN
ejpam-6372	323	6	,	,	PUNCT
ejpam-6372	323	7	s.	s.	PROPN
ejpam-6372	323	8	samanta	samanta	PROPN
ejpam-6372	323	9	,	,	PUNCT
ejpam-6372	323	10	and	and	CCONJ
ejpam-6372	323	11	r.	r.	PROPN
ejpam-6372	323	12	a.	a.	PROPN
ejpam-6372	323	13	borzooei	borzooei	PROPN
ejpam-6372	323	14	.	.	PUNCT
ejpam-6372	324	1	product	product	NOUN
ejpam-6372	324	2	of	of	ADP
ejpam-6372	324	3	bipolar	bipolar	ADJ
ejpam-6372	324	4	fuzzy	fuzzy	ADJ
ejpam-6372	324	5	graphs	graph	NOUN
ejpam-6372	324	6	and	and	CCONJ
ejpam-6372	324	7	their	their	PRON
ejpam-6372	324	8	degree	degree	NOUN
ejpam-6372	324	9	.	.	PUNCT
ejpam-6372	325	1	international	international	ADJ
ejpam-6372	325	2	journal	journal	PROPN
ejpam-6372	325	3	of	of	ADP
ejpam-6372	325	4	general	general	ADJ
ejpam-6372	325	5	systems	system	NOUN
ejpam-6372	325	6	,	,	PUNCT
ejpam-6372	325	7	45(1):1–14	45(1):1–14	NUM
ejpam-6372	325	8	,	,	PUNCT
ejpam-6372	325	9	2016	2016	NUM
ejpam-6372	325	10	.	.	PUNCT
ejpam-6372	326	1	[	[	X
ejpam-6372	326	2	15	15	NUM
ejpam-6372	326	3	]	]	X
ejpam-6372	326	4	obbu	obbu	NOUN
ejpam-6372	326	5	ramesh	ramesh	NOUN
ejpam-6372	326	6	and	and	CCONJ
ejpam-6372	326	7	s.	s.	PROPN
ejpam-6372	326	8	sharief	sharief	PROPN
ejpam-6372	326	9	basha	basha	PROPN
ejpam-6372	326	10	.	.	PUNCT
ejpam-6372	327	1	an	an	DET
ejpam-6372	327	2	intuitionistic	intuitionistic	ADJ
ejpam-6372	327	3	fuzzy	fuzzy	ADJ
ejpam-6372	327	4	graph	graph	NOUN
ejpam-6372	327	5	’s	’s	PART
ejpam-6372	327	6	signless	signless	PROPN
ejpam-6372	327	7	laplacian	laplacian	ADJ
ejpam-6372	327	8	energy	energy	NOUN
ejpam-6372	327	9	.	.	PUNCT
ejpam-6372	328	1	international	international	ADJ
ejpam-6372	328	2	journal	journal	PROPN
ejpam-6372	328	3	of	of	ADP
ejpam-6372	328	4	engineering	engineering	PROPN
ejpam-6372	328	5	&	&	CCONJ
ejpam-6372	328	6	technology	technology	PROPN
ejpam-6372	328	7	,	,	PUNCT
ejpam-6372	328	8	7(4.10):892–895	7(4.10):892–895	NUM
ejpam-6372	328	9	,	,	PUNCT
ejpam-6372	328	10	2018	2018	NUM
ejpam-6372	328	11	.	.	PUNCT
ejpam-6372	329	1	[	[	X
ejpam-6372	329	2	16	16	NUM
ejpam-6372	329	3	]	]	X
ejpam-6372	329	4	obbu	obbu	PROPN
ejpam-6372	329	5	ramesh	ramesh	PROPN
ejpam-6372	329	6	and	and	CCONJ
ejpam-6372	329	7	s.	s.	PROPN
ejpam-6372	329	8	sharief	sharief	PROPN
ejpam-6372	329	9	basha	basha	PROPN
ejpam-6372	329	10	.	.	PUNCT
ejpam-6372	330	1	signless	signless	PROPN
ejpam-6372	330	2	laplacian	laplacian	ADJ
ejpam-6372	330	3	energy	energy	NOUN
ejpam-6372	330	4	of	of	ADP
ejpam-6372	330	5	operations	operation	NOUN
ejpam-6372	330	6	on	on	ADP
ejpam-6372	330	7	intuitionistic	intuitionistic	ADJ
ejpam-6372	330	8	fuzzy	fuzzy	ADJ
ejpam-6372	330	9	graphs	graph	NOUN
ejpam-6372	330	10	.	.	PUNCT
ejpam-6372	331	1	international	international	ADJ
ejpam-6372	331	2	journal	journal	NOUN
ejpam-6372	331	3	of	of	ADP
ejpam-6372	331	4	engineering	engineering	PROPN
ejpam-6372	331	5	&	&	CCONJ
ejpam-6372	331	6	technology	technology	NOUN
ejpam-6372	331	7	,	,	PUNCT
ejpam-6372	331	8	7(4.10):888–891	7(4.10):888–891	NUM
ejpam-6372	331	9	,	,	PUNCT
ejpam-6372	331	10	2018	2018	NUM
ejpam-6372	331	11	.	.	PUNCT
ejpam-6372	332	1	[	[	X
ejpam-6372	332	2	17	17	NUM
ejpam-6372	332	3	]	]	PUNCT
ejpam-6372	332	4	s.	s.	PROPN
ejpam-6372	332	5	naz	naz	PROPN
ejpam-6372	332	6	,	,	PUNCT
ejpam-6372	332	7	s.	s.	PROPN
ejpam-6372	332	8	ashraf	ashraf	PROPN
ejpam-6372	332	9	,	,	PUNCT
ejpam-6372	332	10	and	and	CCONJ
ejpam-6372	332	11	m.	m.	PROPN
ejpam-6372	332	12	akram	akram	PROPN
ejpam-6372	332	13	.	.	PUNCT
ejpam-6372	333	1	a	a	DET
ejpam-6372	333	2	novel	novel	ADJ
ejpam-6372	333	3	approach	approach	NOUN
ejpam-6372	333	4	to	to	ADP
ejpam-6372	333	5	decision	decision	NOUN
ejpam-6372	333	6	-	-	PUNCT
ejpam-6372	333	7	making	making	NOUN
ejpam-6372	333	8	with	with	ADP
ejpam-6372	333	9	pythagorean	pythagorean	PROPN
ejpam-6372	333	10	fuzzy	fuzzy	ADJ
ejpam-6372	333	11	information	information	NOUN
ejpam-6372	333	12	.	.	PUNCT
ejpam-6372	334	1	mathematics	mathematic	NOUN
ejpam-6372	334	2	,	,	PUNCT
ejpam-6372	334	3	6:1–28	6:1–28	NUM
ejpam-6372	334	4	,	,	PUNCT
ejpam-6372	334	5	2018	2018	NUM
ejpam-6372	334	6	.	.	PUNCT
ejpam-6372	335	1	[	[	X
ejpam-6372	335	2	18	18	NUM
ejpam-6372	335	3	]	]	PUNCT
ejpam-6372	335	4	m.	m.	NOUN
ejpam-6372	335	5	akram	akram	PROPN
ejpam-6372	335	6	and	and	CCONJ
ejpam-6372	335	7	b.	b.	PROPN
ejpam-6372	335	8	davvaz	davvaz	PROPN
ejpam-6372	335	9	.	.	PUNCT
ejpam-6372	336	1	strong	strong	ADJ
ejpam-6372	336	2	intuitionistic	intuitionistic	ADJ
ejpam-6372	336	3	fuzzy	fuzzy	ADJ
ejpam-6372	336	4	graphs	graph	NOUN
ejpam-6372	336	5	.	.	PUNCT
ejpam-6372	337	1	filomat	filomat	NOUN
ejpam-6372	337	2	,	,	PUNCT
ejpam-6372	337	3	26:177–196	26:177–196	NUM
ejpam-6372	337	4	,	,	PUNCT
ejpam-6372	337	5	2012	2012	NUM
ejpam-6372	337	6	.	.	PUNCT
ejpam-6372	338	1	[	[	X
ejpam-6372	338	2	19	19	NUM
ejpam-6372	338	3	]	]	X
ejpam-6372	338	4	r.	r.	PROPN
ejpam-6372	338	5	verma	verma	PROPN
ejpam-6372	338	6	,	,	PUNCT
ejpam-6372	338	7	j.	j.	PROPN
ejpam-6372	338	8	m.	m.	PROPN
ejpam-6372	338	9	merigo	merigo	PROPN
ejpam-6372	338	10	,	,	PUNCT
ejpam-6372	338	11	and	and	CCONJ
ejpam-6372	338	12	m.	m.	PROPN
ejpam-6372	338	13	sahni	sahni	PROPN
ejpam-6372	338	14	.	.	PUNCT
ejpam-6372	339	1	pythagorean	pythagorean	PROPN
ejpam-6372	339	2	fuzzy	fuzzy	ADJ
ejpam-6372	339	3	graphs	graph	NOUN
ejpam-6372	339	4	:	:	PUNCT
ejpam-6372	339	5	some	some	DET
ejpam-6372	339	6	results	result	NOUN
ejpam-6372	339	7	.	.	PUNCT
ejpam-6372	340	1	arxiv	arxiv	PROPN
ejpam-6372	340	2	preprint	preprint	NOUN
ejpam-6372	340	3	,	,	PUNCT
ejpam-6372	340	4	2018	2018	NUM
ejpam-6372	340	5	.	.	PUNCT
ejpam-6372	341	1	[	[	X
ejpam-6372	341	2	20	20	NUM
ejpam-6372	341	3	]	]	PUNCT
ejpam-6372	341	4	m.	m.	NOUN
ejpam-6372	341	5	akram	akram	PROPN
ejpam-6372	341	6	and	and	CCONJ
ejpam-6372	341	7	s.	s.	PROPN
ejpam-6372	341	8	naz	naz	PROPN
ejpam-6372	341	9	.	.	PUNCT
ejpam-6372	342	1	energy	energy	NOUN
ejpam-6372	342	2	of	of	ADP
ejpam-6372	342	3	pythagorean	pythagorean	PROPN
ejpam-6372	342	4	fuzzy	fuzzy	ADJ
ejpam-6372	342	5	graphs	graph	NOUN
ejpam-6372	342	6	with	with	ADP
ejpam-6372	342	7	applications	application	NOUN
ejpam-6372	342	8	.	.	PUNCT
ejpam-6372	343	1	mathematics	mathematic	NOUN
ejpam-6372	343	2	,	,	PUNCT
ejpam-6372	343	3	6:136	6:136	NUM
ejpam-6372	343	4	,	,	PUNCT
ejpam-6372	343	5	2018	2018	NUM
ejpam-6372	343	6	.	.	PUNCT
ejpam-6372	344	1	[	[	X
ejpam-6372	344	2	21	21	NUM
ejpam-6372	344	3	]	]	PUNCT
ejpam-6372	344	4	s.	s.	PROPN
ejpam-6372	344	5	s.	s.	PROPN
ejpam-6372	344	6	dhavudh	dhavudh	PROPN
ejpam-6372	344	7	and	and	CCONJ
ejpam-6372	344	8	r.	r.	PROPN
ejpam-6372	344	9	srinivasan	srinivasan	PROPN
ejpam-6372	344	10	.	.	PUNCT
ejpam-6372	345	1	properties	property	NOUN
ejpam-6372	345	2	of	of	ADP
ejpam-6372	345	3	intuitionistic	intuitionistic	ADJ
ejpam-6372	345	4	fuzzy	fuzzy	ADJ
ejpam-6372	345	5	graphs	graph	NOUN
ejpam-6372	345	6	of	of	ADP
ejpam-6372	345	7	second	second	ADJ
ejpam-6372	345	8	type	type	NOUN
ejpam-6372	345	9	.	.	PUNCT
ejpam-6372	346	1	international	international	ADJ
ejpam-6372	346	2	journal	journal	PROPN
ejpam-6372	346	3	of	of	ADP
ejpam-6372	346	4	computational	computational	ADJ
ejpam-6372	346	5	and	and	CCONJ
ejpam-6372	346	6	applied	applied	ADJ
ejpam-6372	346	7	mathematics	mathematic	NOUN
ejpam-6372	346	8	,	,	PUNCT
ejpam-6372	346	9	12:815–823	12:815–823	NUM
ejpam-6372	346	10	,	,	PUNCT
ejpam-6372	346	11	2017	2017	NUM
ejpam-6372	346	12	.	.	PUNCT
ejpam-6372	347	1	[	[	X
ejpam-6372	347	2	22	22	NUM
ejpam-6372	347	3	]	]	PUNCT
ejpam-6372	347	4	m.	m.	NOUN
ejpam-6372	347	5	akram	akram	PROPN
ejpam-6372	347	6	,	,	PUNCT
ejpam-6372	347	7	a.	a.	NOUN
ejpam-6372	347	8	habib	habib	PROPN
ejpam-6372	347	9	,	,	PUNCT
ejpam-6372	347	10	f.	f.	PROPN
ejpam-6372	347	11	ilyas	ilyas	PROPN
ejpam-6372	347	12	,	,	PUNCT
ejpam-6372	347	13	and	and	CCONJ
ejpam-6372	347	14	j.	j.	PROPN
ejpam-6372	347	15	m.	m.	PROPN
ejpam-6372	347	16	dar	dar	PROPN
ejpam-6372	347	17	.	.	PUNCT
ejpam-6372	347	18	specific	specific	ADJ
ejpam-6372	347	19	types	type	NOUN
ejpam-6372	347	20	of	of	ADP
ejpam-6372	347	21	pythagorean	pythagorean	ADJ
ejpam-6372	347	22	fuzzy	fuzzy	ADJ
ejpam-6372	347	23	graphs	graph	NOUN
ejpam-6372	347	24	and	and	CCONJ
ejpam-6372	347	25	application	application	NOUN
ejpam-6372	347	26	to	to	ADP
ejpam-6372	347	27	decision	decision	NOUN
ejpam-6372	347	28	-	-	PUNCT
ejpam-6372	347	29	making	making	NOUN
ejpam-6372	347	30	.	.	PUNCT
ejpam-6372	348	1	mathematics	mathematic	NOUN
ejpam-6372	348	2	and	and	CCONJ
ejpam-6372	348	3	computers	computer	NOUN
ejpam-6372	348	4	in	in	ADP
ejpam-6372	348	5	applications	application	NOUN
ejpam-6372	348	6	,	,	PUNCT
ejpam-6372	348	7	23:42	23:42	NUM
ejpam-6372	348	8	,	,	PUNCT
ejpam-6372	348	9	2018	2018	NUM
ejpam-6372	348	10	.	.	PUNCT
ejpam-6372	349	1	[	[	X
ejpam-6372	349	2	23	23	NUM
ejpam-6372	349	3	]	]	PUNCT
ejpam-6372	349	4	m.	m.	NOUN
ejpam-6372	349	5	akram	akram	PROPN
ejpam-6372	349	6	,	,	PUNCT
ejpam-6372	349	7	j.	j.	PROPN
ejpam-6372	349	8	m.	m.	PROPN
ejpam-6372	349	9	dar	dar	PROPN
ejpam-6372	349	10	,	,	PUNCT
ejpam-6372	349	11	and	and	CCONJ
ejpam-6372	349	12	s.	s.	PROPN
ejpam-6372	349	13	naz	naz	PROPN
ejpam-6372	349	14	.	.	PUNCT
ejpam-6372	350	1	certain	certain	ADJ
ejpam-6372	350	2	graphs	graph	NOUN
ejpam-6372	350	3	under	under	ADP
ejpam-6372	350	4	pythagorean	pythagorean	PROPN
ejpam-6372	350	5	fuzzy	fuzzy	ADJ
ejpam-6372	350	6	environment	environment	NOUN
ejpam-6372	350	7	.	.	PUNCT
ejpam-6372	351	1	complex	complex	ADJ
ejpam-6372	351	2	intelligent	intelligent	ADJ
ejpam-6372	351	3	systems	system	NOUN
ejpam-6372	351	4	.	.	PUNCT
ejpam-6372	352	1	in	in	ADP
ejpam-6372	352	2	press	press	NOUN
ejpam-6372	352	3	.	.	PUNCT
ejpam-6372	353	1	[	[	X
ejpam-6372	353	2	24	24	NUM
ejpam-6372	353	3	]	]	X
ejpam-6372	353	4	s.	s.	PROPN
ejpam-6372	353	5	sahoo	sahoo	PROPN
ejpam-6372	353	6	and	and	CCONJ
ejpam-6372	353	7	m.	m.	PROPN
ejpam-6372	353	8	pal	pal	PROPN
ejpam-6372	353	9	.	.	PUNCT
ejpam-6372	354	1	intuitionistic	intuitionistic	ADJ
ejpam-6372	354	2	fuzzy	fuzzy	ADJ
ejpam-6372	354	3	competition	competition	NOUN
ejpam-6372	354	4	graphs	graph	NOUN
ejpam-6372	354	5	.	.	PUNCT
ejpam-6372	355	1	journal	journal	NOUN
ejpam-6372	355	2	of	of	ADP
ejpam-6372	355	3	applied	apply	VERB
ejpam-6372	355	4	mathematics	mathematic	NOUN
ejpam-6372	355	5	and	and	CCONJ
ejpam-6372	355	6	computation	computation	NOUN
ejpam-6372	355	7	,	,	PUNCT
ejpam-6372	355	8	52:37–57	52:37–57	NUM
ejpam-6372	355	9	,	,	PUNCT
ejpam-6372	355	10	2016	2016	NUM
ejpam-6372	355	11	.	.	PUNCT
ejpam-6372	356	1	obbu	obbu	PROPN
ejpam-6372	356	2	ramesh	ramesh	PROPN
ejpam-6372	356	3	et.al	et.al	PROPN
ejpam-6372	356	4	/	/	SYM
ejpam-6372	356	5	eur	eur	PROPN
ejpam-6372	356	6	.	.	PUNCT
ejpam-6372	357	1	j.	j.	PROPN
ejpam-6372	357	2	pure	pure	PROPN
ejpam-6372	357	3	appl	appl	PROPN
ejpam-6372	357	4	.	.	PROPN
ejpam-6372	357	5	math	math	PROPN
ejpam-6372	357	6	,	,	PUNCT
ejpam-6372	357	7	18	18	NUM
ejpam-6372	357	8	(	(	PUNCT
ejpam-6372	357	9	3	3	NUM
ejpam-6372	357	10	)	)	PUNCT
ejpam-6372	357	11	(	(	PUNCT
ejpam-6372	357	12	2025	2025	NUM
ejpam-6372	357	13	)	)	PUNCT
ejpam-6372	357	14	,	,	PUNCT
ejpam-6372	357	15	6372	6372	NUM
ejpam-6372	357	16	17	17	NUM
ejpam-6372	357	17	of	of	ADP
ejpam-6372	357	18	17	17	NUM
ejpam-6372	357	19	[	[	X
ejpam-6372	357	20	25	25	NUM
ejpam-6372	357	21	]	]	PUNCT
ejpam-6372	357	22	sankar	sankar	NOUN
ejpam-6372	357	23	sahoo	sahoo	PROPN
ejpam-6372	357	24	and	and	CCONJ
ejpam-6372	357	25	madhumangal	madhumangal	ADJ
ejpam-6372	357	26	pal	pal	NOUN
ejpam-6372	357	27	.	.	PUNCT
ejpam-6372	358	1	product	product	NOUN
ejpam-6372	358	2	of	of	ADP
ejpam-6372	358	3	intuitionistic	intuitionistic	ADJ
ejpam-6372	358	4	fuzzy	fuzzy	ADJ
ejpam-6372	358	5	graphs	graph	NOUN
ejpam-6372	358	6	and	and	CCONJ
ejpam-6372	358	7	degree	degree	NOUN
ejpam-6372	358	8	.	.	PUNCT
ejpam-6372	359	1	journal	journal	PROPN
ejpam-6372	359	2	unknown	unknown	ADJ
ejpam-6372	359	3	,	,	PUNCT
ejpam-6372	359	4	pages	page	NOUN
ejpam-6372	359	5	1059–1067	1059–1067	NUM
ejpam-6372	359	6	,	,	PUNCT
ejpam-6372	359	7	2017	2017	NUM
ejpam-6372	359	8	.	.	PUNCT
ejpam-6372	360	1	[	[	X
ejpam-6372	360	2	26	26	NUM
ejpam-6372	360	3	]	]	X
ejpam-6372	360	4	sankar	sankar	NOUN
ejpam-6372	360	5	sahoo	sahoo	PROPN
ejpam-6372	360	6	and	and	CCONJ
ejpam-6372	360	7	madhumangal	madhumangal	ADJ
ejpam-6372	360	8	pal	pal	NOUN
ejpam-6372	360	9	.	.	PUNCT
ejpam-6372	361	1	certain	certain	ADJ
ejpam-6372	361	2	types	type	NOUN
ejpam-6372	361	3	of	of	ADP
ejpam-6372	361	4	edge	edge	VERB
ejpam-6372	361	5	irregular	irregular	ADJ
ejpam-6372	361	6	intuitionistic	intuitionistic	ADJ
ejpam-6372	361	7	fuzzy	fuzzy	ADJ
ejpam-6372	361	8	graphs	graph	NOUN
ejpam-6372	361	9	.	.	PUNCT
ejpam-6372	362	1	journal	journal	PROPN
ejpam-6372	362	2	unknown	unknown	ADJ
ejpam-6372	362	3	,	,	PUNCT
ejpam-6372	362	4	pages	page	NOUN
ejpam-6372	362	5	295–305	295–305	NUM
ejpam-6372	362	6	,	,	PUNCT
ejpam-6372	362	7	2018	2018	NUM
ejpam-6372	362	8	.	.	PUNCT
ejpam-6372	363	1	[	[	X
ejpam-6372	363	2	27	27	NUM
ejpam-6372	363	3	]	]	PUNCT
ejpam-6372	363	4	sankar	sankar	PROPN
ejpam-6372	363	5	sahoo	sahoo	PROPN
ejpam-6372	363	6	.	.	PUNCT
ejpam-6372	364	1	colouring	colouring	NOUN
ejpam-6372	364	2	of	of	ADP
ejpam-6372	364	3	mixed	mixed	ADJ
ejpam-6372	364	4	fuzzy	fuzzy	ADJ
ejpam-6372	364	5	graph	graph	NOUN
ejpam-6372	364	6	and	and	CCONJ
ejpam-6372	364	7	its	its	PRON
ejpam-6372	364	8	application	application	NOUN
ejpam-6372	364	9	in	in	ADP
ejpam-6372	364	10	covid19	covid19	NOUN
ejpam-6372	364	11	.	.	PUNCT
ejpam-6372	365	1	journal	journal	NOUN
ejpam-6372	365	2	of	of	ADP
ejpam-6372	365	3	multiple	multiple	ADJ
ejpam-6372	365	4	valued	value	VERB
ejpam-6372	365	5	logic	logic	NOUN
ejpam-6372	365	6	and	and	CCONJ
ejpam-6372	365	7	soft	soft	ADJ
ejpam-6372	365	8	computing	computing	NOUN
ejpam-6372	365	9	,	,	PUNCT
ejpam-6372	365	10	35:473–489	35:473–489	PROPN
ejpam-6372	365	11	,	,	PUNCT
ejpam-6372	365	12	2020	2020	NUM
ejpam-6372	365	13	.	.	PUNCT
ejpam-6372	366	1	[	[	X
ejpam-6372	366	2	28	28	NUM
ejpam-6372	366	3	]	]	X
ejpam-6372	366	4	s.	s.	PROPN
ejpam-6372	366	5	noorjahan	noorjahan	PROPN
ejpam-6372	366	6	and	and	CCONJ
ejpam-6372	366	7	s.	s.	PROPN
ejpam-6372	366	8	b.	b.	PROPN
ejpam-6372	366	9	shaik	shaik	PROPN
ejpam-6372	366	10	.	.	PUNCT
ejpam-6372	367	1	decision	decision	NOUN
ejpam-6372	367	2	-	-	PUNCT
ejpam-6372	367	3	making	making	NOUN
ejpam-6372	367	4	using	use	VERB
ejpam-6372	367	5	the	the	DET
ejpam-6372	367	6	correlation	correlation	NOUN
ejpam-6372	367	7	coefficient	coefficient	NOUN
ejpam-6372	367	8	measures	measure	NOUN
ejpam-6372	367	9	of	of	ADP
ejpam-6372	367	10	intuitionistic	intuitionistic	ADJ
ejpam-6372	367	11	fuzzy	fuzzy	ADJ
ejpam-6372	367	12	rough	rough	ADJ
ejpam-6372	367	13	graph	graph	NOUN
ejpam-6372	367	14	.	.	PUNCT
ejpam-6372	368	1	hacettepe	hacettepe	PROPN
ejpam-6372	368	2	journal	journal	PROPN
ejpam-6372	368	3	of	of	ADP
ejpam-6372	368	4	mathematics	mathematic	NOUN
ejpam-6372	368	5	and	and	CCONJ
ejpam-6372	368	6	statistics	statistic	NOUN
ejpam-6372	368	7	,	,	PUNCT
ejpam-6372	368	8	53(6):1774–1797	53(6):1774–1797	NUM
ejpam-6372	368	9	,	,	PUNCT
ejpam-6372	368	10	2024	2024	NUM
ejpam-6372	368	11	.	.	PUNCT
ejpam-6372	369	1	[	[	X
ejpam-6372	369	2	29	29	NUM
ejpam-6372	369	3	]	]	X
ejpam-6372	369	4	s.	s.	PROPN
ejpam-6372	369	5	noorjahan	noorjahan	PROPN
ejpam-6372	369	6	and	and	CCONJ
ejpam-6372	369	7	s.	s.	PROPN
ejpam-6372	369	8	s.	s.	PROPN
ejpam-6372	369	9	basha	basha	PROPN
ejpam-6372	369	10	.	.	PUNCT
ejpam-6372	370	1	the	the	DET
ejpam-6372	370	2	laplacian	laplacian	ADJ
ejpam-6372	370	3	energy	energy	NOUN
ejpam-6372	370	4	of	of	ADP
ejpam-6372	370	5	an	an	DET
ejpam-6372	370	6	intuitionistic	intuitionistic	ADJ
ejpam-6372	370	7	fuzzy	fuzzy	ADJ
ejpam-6372	370	8	rough	rough	ADJ
ejpam-6372	370	9	graph	graph	NOUN
ejpam-6372	370	10	and	and	CCONJ
ejpam-6372	370	11	its	its	PRON
ejpam-6372	370	12	utilisation	utilisation	NOUN
ejpam-6372	370	13	in	in	ADP
ejpam-6372	370	14	decision	decision	NOUN
ejpam-6372	370	15	-	-	PUNCT
ejpam-6372	370	16	making	making	NOUN
ejpam-6372	370	17	.	.	PUNCT
ejpam-6372	371	1	operations	operation	NOUN
ejpam-6372	371	2	research	research	NOUN
ejpam-6372	371	3	and	and	CCONJ
ejpam-6372	371	4	decisions	decision	NOUN
ejpam-6372	371	5	,	,	PUNCT
ejpam-6372	371	6	35(1):81–107	35(1):81–107	NUM
ejpam-6372	371	7	,	,	PUNCT
ejpam-6372	371	8	2025	2025	NUM
ejpam-6372	371	9	.	.	PUNCT
ejpam-6372	372	1	[	[	X
ejpam-6372	372	2	30	30	NUM
ejpam-6372	372	3	]	]	X
ejpam-6372	372	4	n.	n.	PROPN
ejpam-6372	372	5	k.	k.	PROPN
ejpam-6372	372	6	akula	akula	PROPN
ejpam-6372	372	7	and	and	CCONJ
ejpam-6372	372	8	s.	s.	PROPN
ejpam-6372	372	9	b.	b.	PROPN
ejpam-6372	372	10	shaik	shaik	PROPN
ejpam-6372	372	11	.	.	PUNCT
ejpam-6372	373	1	correlation	correlation	NOUN
ejpam-6372	373	2	coefficient	coefficient	NOUN
ejpam-6372	373	3	measure	measure	NOUN
ejpam-6372	373	4	of	of	ADP
ejpam-6372	373	5	intuitionistic	intuitionistic	ADJ
ejpam-6372	373	6	fuzzy	fuzzy	ADJ
ejpam-6372	373	7	graphs	graph	NOUN
ejpam-6372	373	8	with	with	ADP
ejpam-6372	373	9	application	application	NOUN
ejpam-6372	373	10	in	in	ADP
ejpam-6372	373	11	money	money	NOUN
ejpam-6372	373	12	investing	invest	VERB
ejpam-6372	373	13	schemes	scheme	NOUN
ejpam-6372	373	14	.	.	PUNCT
ejpam-6372	374	1	computing	computing	NOUN
ejpam-6372	374	2	and	and	CCONJ
ejpam-6372	374	3	informatics	informatics	PROPN
ejpam-6372	374	4	,	,	PUNCT
ejpam-6372	374	5	42(2):436–456	42(2):436–456	PROPN
ejpam-6372	374	6	,	,	PUNCT
ejpam-6372	374	7	2023	2023	NUM
ejpam-6372	374	8	.	.	PUNCT
ejpam-6372	375	1	[	[	X
ejpam-6372	375	2	31	31	NUM
ejpam-6372	375	3	]	]	PUNCT
ejpam-6372	375	4	s.	s.	PROPN
ejpam-6372	375	5	noorjahan	noorjahan	PROPN
ejpam-6372	375	6	and	and	CCONJ
ejpam-6372	375	7	s.	s.	PROPN
ejpam-6372	375	8	sharief	sharief	PROPN
ejpam-6372	375	9	basha	basha	PROPN
ejpam-6372	375	10	.	.	PUNCT
ejpam-6372	376	1	developing	develop	VERB
ejpam-6372	376	2	an	an	DET
ejpam-6372	376	3	intuitionistic	intuitionistic	ADJ
ejpam-6372	376	4	fuzzy	fuzzy	ADJ
ejpam-6372	376	5	rough	rough	ADJ
ejpam-6372	376	6	new	new	ADJ
ejpam-6372	376	7	correlation	correlation	NOUN
ejpam-6372	376	8	coefficient	coefficient	NOUN
ejpam-6372	376	9	approach	approach	NOUN
ejpam-6372	376	10	for	for	ADP
ejpam-6372	376	11	enhancing	enhance	VERB
ejpam-6372	376	12	robotic	robotic	ADJ
ejpam-6372	376	13	vacuum	vacuum	NOUN
ejpam-6372	376	14	cleaner	cleaner	NOUN
ejpam-6372	376	15	.	.	PUNCT
ejpam-6372	377	1	science	science	NOUN
ejpam-6372	377	2	progress	progress	NOUN
ejpam-6372	377	3	,	,	PUNCT
ejpam-6372	377	4	107(3	107(3	NUM
ejpam-6372	377	5	)	)	PUNCT
ejpam-6372	377	6	,	,	PUNCT
ejpam-6372	377	7	2024	2024	NUM
ejpam-6372	377	8	.	.	PUNCT
ejpam-6372	378	1	[	[	X
ejpam-6372	378	2	32	32	NUM
ejpam-6372	378	3	]	]	PUNCT
ejpam-6372	378	4	pythagorean	pythagorean	PROPN
ejpam-6372	378	5	fuzzy	fuzzy	ADJ
ejpam-6372	378	6	hx	hx	PROPN
ejpam-6372	378	7	-	-	PUNCT
ejpam-6372	378	8	subgroups	subgroup	NOUN
ejpam-6372	378	9	and	and	CCONJ
ejpam-6372	378	10	their	their	PRON
ejpam-6372	378	11	applications	application	NOUN
ejpam-6372	378	12	.	.	PUNCT
ejpam-6372	379	1	european	european	ADJ
ejpam-6372	379	2	journal	journal	PROPN
ejpam-6372	379	3	of	of	ADP
ejpam-6372	379	4	pure	pure	ADJ
ejpam-6372	379	5	and	and	CCONJ
ejpam-6372	379	6	applied	applied	ADJ
ejpam-6372	379	7	mathematics	mathematic	NOUN
ejpam-6372	379	8	,	,	PUNCT
ejpam-6372	379	9	18(2):5768	18(2):5768	NUM
ejpam-6372	379	10	,	,	PUNCT
ejpam-6372	379	11	2025	2025	NUM
ejpam-6372	379	12	.	.	PUNCT
ejpam-6372	380	1	[	[	X
ejpam-6372	380	2	33	33	NUM
ejpam-6372	380	3	]	]	PUNCT
ejpam-6372	380	4	pythagorean	pythagorean	PROPN
ejpam-6372	380	5	fuzzy	fuzzy	ADJ
ejpam-6372	380	6	soft	soft	ADJ
ejpam-6372	380	7	somewhat	somewhat	ADV
ejpam-6372	380	8	continuous	continuous	ADJ
ejpam-6372	380	9	functions	function	NOUN
ejpam-6372	380	10	.	.	PUNCT
ejpam-6372	381	1	european	european	ADJ
ejpam-6372	381	2	journal	journal	PROPN
ejpam-6372	381	3	of	of	ADP
ejpam-6372	381	4	pure	pure	ADJ
ejpam-6372	381	5	and	and	CCONJ
ejpam-6372	381	6	applied	applied	ADJ
ejpam-6372	381	7	mathematics	mathematic	NOUN
ejpam-6372	381	8	,	,	PUNCT
ejpam-6372	381	9	17(4):4147–4163	17(4):4147–4163	NUM
ejpam-6372	381	10	,	,	PUNCT
ejpam-6372	381	11	2024	2024	NUM
ejpam-6372	381	12	.	.	PUNCT
ejpam-6372	382	1	[	[	X
ejpam-6372	382	2	34	34	NUM
ejpam-6372	382	3	]	]	PUNCT
ejpam-6372	382	4	k.	k.	PROPN
ejpam-6372	382	5	atanassov	atanassov	PROPN
ejpam-6372	382	6	.	.	PUNCT
ejpam-6372	383	1	intuitionistic	intuitionistic	ADJ
ejpam-6372	383	2	fuzzy	fuzzy	ADJ
ejpam-6372	383	3	sets	set	NOUN
ejpam-6372	383	4	.	.	PUNCT
ejpam-6372	384	1	1983	1983	NUM
ejpam-6372	384	2	.	.	PUNCT
ejpam-6372	385	1	[	[	X
ejpam-6372	385	2	35	35	NUM
ejpam-6372	385	3	]	]	X
ejpam-6372	385	4	r.	r.	PROPN
ejpam-6372	385	5	parvathy	parvathy	PROPN
ejpam-6372	385	6	and	and	CCONJ
ejpam-6372	385	7	m.	m.	PROPN
ejpam-6372	385	8	g.	g.	PROPN
ejpam-6372	385	9	karunambigai	karunambigai	PROPN
ejpam-6372	385	10	.	.	PUNCT
ejpam-6372	385	11	intuitionistic	intuitionistic	ADJ
ejpam-6372	385	12	fuzzy	fuzzy	ADJ
ejpam-6372	385	13	graphs	graph	NOUN
ejpam-6372	385	14	.	.	PUNCT
ejpam-6372	386	1	in	in	ADP
ejpam-6372	386	2	computational	computational	ADJ
ejpam-6372	386	3	intelligence	intelligence	NOUN
ejpam-6372	386	4	,	,	PUNCT
ejpam-6372	386	5	theory	theory	NOUN
ejpam-6372	386	6	and	and	CCONJ
ejpam-6372	386	7	applications	application	NOUN
ejpam-6372	386	8	,	,	PUNCT
ejpam-6372	386	9	international	international	ADJ
ejpam-6372	386	10	conference	conference	NOUN
ejpam-6372	386	11	,	,	PUNCT
ejpam-6372	386	12	germany	germany	PROPN
ejpam-6372	386	13	.	.	PUNCT
ejpam-6372	387	1	[	[	X
ejpam-6372	387	2	36	36	NUM
ejpam-6372	387	3	]	]	X
ejpam-6372	387	4	p.	p.	NOUN
ejpam-6372	387	5	a.	a.	NOUN
ejpam-6372	387	6	ejegwa	ejegwa	PROPN
ejpam-6372	387	7	.	.	PUNCT
ejpam-6372	388	1	pythagorean	pythagorean	PROPN
ejpam-6372	388	2	fuzzy	fuzzy	PROPN
ejpam-6372	388	3	set	set	NOUN
ejpam-6372	388	4	and	and	CCONJ
ejpam-6372	388	5	its	its	PRON
ejpam-6372	388	6	application	application	NOUN
ejpam-6372	388	7	in	in	ADP
ejpam-6372	388	8	career	career	NOUN
ejpam-6372	388	9	placements	placement	NOUN
ejpam-6372	388	10	based	base	VERB
ejpam-6372	388	11	on	on	ADP
ejpam-6372	388	12	academic	academic	ADJ
ejpam-6372	388	13	performance	performance	NOUN
ejpam-6372	388	14	using	use	VERB
ejpam-6372	388	15	max	max	PROPN
ejpam-6372	388	16	–	–	PUNCT
ejpam-6372	388	17	min	min	PROPN
ejpam-6372	388	18	–	–	PUNCT
ejpam-6372	388	19	max	max	NOUN
ejpam-6372	388	20	composition	composition	NOUN
ejpam-6372	388	21	.	.	PUNCT
ejpam-6372	389	1	complex	complex	ADJ
ejpam-6372	389	2	intelligent	intelligent	ADJ
ejpam-6372	389	3	systems	system	NOUN
ejpam-6372	389	4	,	,	PUNCT
ejpam-6372	389	5	5:165–175	5:165–175	PROPN
ejpam-6372	389	6	,	,	PUNCT
ejpam-6372	389	7	2019	2019	NUM
ejpam-6372	389	8	.	.	PUNCT
ejpam-6372	390	1	[	[	X
ejpam-6372	390	2	37	37	NUM
ejpam-6372	390	3	]	]	X
ejpam-6372	390	4	r.	r.	PROPN
ejpam-6372	390	5	r.	r.	PROPN
ejpam-6372	390	6	yager	yager	PROPN
ejpam-6372	390	7	.	.	PUNCT
ejpam-6372	391	1	pythagorean	pythagorean	PROPN
ejpam-6372	391	2	membership	membership	NOUN
ejpam-6372	391	3	grades	grade	NOUN
ejpam-6372	391	4	in	in	ADP
ejpam-6372	391	5	multicriteria	multicriteria	PROPN
ejpam-6372	391	6	decision	decision	NOUN
ejpam-6372	391	7	making	making	NOUN
ejpam-6372	391	8	.	.	PUNCT
ejpam-6372	392	1	ieee	ieee	NOUN
ejpam-6372	392	2	transactions	transaction	NOUN
ejpam-6372	392	3	on	on	ADP
ejpam-6372	392	4	fuzzy	fuzzy	ADJ
ejpam-6372	392	5	systems	system	NOUN
ejpam-6372	392	6	,	,	PUNCT
ejpam-6372	392	7	22(4):958–965	22(4):958–965	NUM
ejpam-6372	392	8	,	,	PUNCT
ejpam-6372	392	9	2014	2014	NUM
ejpam-6372	392	10	.	.	PUNCT