id	sid	tid	token	lemma	pos
ejpam-5545	1	1	european	european	PROPN
ejpam-5545	1	2	journal	journal	PROPN
ejpam-5545	1	3	of	of	ADP
ejpam-5545	1	4	pure	pure	ADJ
ejpam-5545	1	5	and	and	CCONJ
ejpam-5545	1	6	applied	apply	VERB
ejpam-5545	1	7	mathematics	mathematic	NOUN
ejpam-5545	1	8	vol	vol	NOUN
ejpam-5545	1	9	.	.	PROPN
ejpam-5545	2	1	17	17	NUM
ejpam-5545	2	2	,	,	PUNCT
ejpam-5545	2	3	no	no	INTJ
ejpam-5545	2	4	.	.	NOUN
ejpam-5545	2	5	4	4	NUM
ejpam-5545	2	6	,	,	PUNCT
ejpam-5545	2	7	2024	2024	NUM
ejpam-5545	2	8	,	,	PUNCT
ejpam-5545	2	9	3743	3743	NUM
ejpam-5545	2	10	-	-	SYM
ejpam-5545	2	11	3771	3771	NUM
ejpam-5545	2	12	issn	issn	PROPN
ejpam-5545	2	13	1307	1307	NUM
ejpam-5545	2	14	-	-	SYM
ejpam-5545	2	15	5543	5543	NUM
ejpam-5545	2	16	–	–	PUNCT
ejpam-5545	3	1	ejpam.com	ejpam.com	X
ejpam-5545	3	2	published	publish	VERB
ejpam-5545	3	3	by	by	ADP
ejpam-5545	3	4	new	new	PROPN
ejpam-5545	3	5	york	york	PROPN
ejpam-5545	3	6	business	business	PROPN
ejpam-5545	3	7	global	global	ADJ
ejpam-5545	3	8	exploring	explore	VERB
ejpam-5545	3	9	β	β	NOUN
ejpam-5545	3	10	-	-	ADJ
ejpam-5545	3	11	basic	basic	ADJ
ejpam-5545	3	12	rough	rough	ADJ
ejpam-5545	3	13	sets	set	NOUN
ejpam-5545	3	14	and	and	CCONJ
ejpam-5545	3	15	their	their	PRON
ejpam-5545	3	16	applications	application	NOUN
ejpam-5545	3	17	in	in	ADP
ejpam-5545	3	18	medicine	medicine	NOUN
ejpam-5545	3	19	m.	m.	PROPN
ejpam-5545	3	20	k.	k.	PROPN
ejpam-5545	4	1	el	el	PROPN
ejpam-5545	4	2	-	-	PUNCT
ejpam-5545	4	3	bably1,2,∗	bably1,2,∗	PROPN
ejpam-5545	4	4	,	,	PUNCT
ejpam-5545	4	5	r.	r.	PROPN
ejpam-5545	4	6	abu	abu	PROPN
ejpam-5545	4	7	-	-	PUNCT
ejpam-5545	4	8	gdairi3	gdairi3	PROPN
ejpam-5545	4	9	,	,	PUNCT
ejpam-5545	5	1	k.	k.	PROPN
ejpam-5545	5	2	k.	k.	PROPN
ejpam-5545	6	1	fleifel4	fleifel4	PROPN
ejpam-5545	6	2	,	,	PUNCT
ejpam-5545	6	3	m.	m.	NOUN
ejpam-5545	6	4	a.	a.	PROPN
ejpam-5545	6	5	el	el	PROPN
ejpam-5545	6	6	-	-	PROPN
ejpam-5545	6	7	gayar5	gayar5	PROPN
ejpam-5545	6	8	1	1	NUM
ejpam-5545	6	9	department	department	NOUN
ejpam-5545	6	10	of	of	ADP
ejpam-5545	6	11	mathematics	mathematic	NOUN
ejpam-5545	6	12	,	,	PUNCT
ejpam-5545	6	13	faculty	faculty	NOUN
ejpam-5545	6	14	of	of	ADP
ejpam-5545	6	15	science	science	NOUN
ejpam-5545	6	16	,	,	PUNCT
ejpam-5545	6	17	tanta	tanta	PROPN
ejpam-5545	6	18	university	university	PROPN
ejpam-5545	6	19	,	,	PUNCT
ejpam-5545	6	20	tanta	tanta	PROPN
ejpam-5545	6	21	31527	31527	NUM
ejpam-5545	6	22	,	,	PUNCT
ejpam-5545	6	23	egypt	egypt	PROPN
ejpam-5545	6	24	2	2	NUM
ejpam-5545	6	25	jadara	jadara	PROPN
ejpam-5545	6	26	university	university	NOUN
ejpam-5545	6	27	research	research	NOUN
ejpam-5545	6	28	center	center	NOUN
ejpam-5545	6	29	,	,	PUNCT
ejpam-5545	6	30	jadara	jadara	PROPN
ejpam-5545	6	31	university	university	PROPN
ejpam-5545	6	32	,	,	PUNCT
ejpam-5545	6	33	irbid	irbid	VERB
ejpam-5545	6	34	21110	21110	NUM
ejpam-5545	6	35	,	,	PUNCT
ejpam-5545	6	36	jordan	jordan	PROPN
ejpam-5545	6	37	3	3	NUM
ejpam-5545	6	38	department	department	PROPN
ejpam-5545	6	39	of	of	ADP
ejpam-5545	6	40	mathematics	mathematic	NOUN
ejpam-5545	6	41	,	,	PUNCT
ejpam-5545	6	42	faculty	faculty	NOUN
ejpam-5545	6	43	of	of	ADP
ejpam-5545	6	44	science	science	NOUN
ejpam-5545	6	45	,	,	PUNCT
ejpam-5545	6	46	zarqa	zarqa	PROPN
ejpam-5545	6	47	university	university	PROPN
ejpam-5545	6	48	,	,	PUNCT
ejpam-5545	6	49	zarqa	zarqa	PROPN
ejpam-5545	6	50	13110	13110	NUM
ejpam-5545	6	51	,	,	PUNCT
ejpam-5545	6	52	jordan	jordan	PROPN
ejpam-5545	6	53	4	4	NUM
ejpam-5545	6	54	department	department	NOUN
ejpam-5545	6	55	of	of	ADP
ejpam-5545	6	56	scientific	scientific	ADJ
ejpam-5545	6	57	basic	basic	ADJ
ejpam-5545	6	58	sciences	science	NOUN
ejpam-5545	6	59	,	,	PUNCT
ejpam-5545	6	60	faculty	faculty	NOUN
ejpam-5545	6	61	of	of	ADP
ejpam-5545	6	62	engineering	engineering	NOUN
ejpam-5545	6	63	technology	technology	NOUN
ejpam-5545	6	64	,	,	PUNCT
ejpam-5545	6	65	al	al	PROPN
ejpam-5545	6	66	-	-	PUNCT
ejpam-5545	6	67	balqa	balqa	NOUN
ejpam-5545	6	68	applied	apply	VERB
ejpam-5545	6	69	university	university	NOUN
ejpam-5545	6	70	,	,	PUNCT
ejpam-5545	6	71	amman	amman	NOUN
ejpam-5545	6	72	19117	19117	NUM
ejpam-5545	6	73	,	,	PUNCT
ejpam-5545	6	74	jordan	jordan	PROPN
ejpam-5545	6	75	5	5	NUM
ejpam-5545	6	76	department	department	NOUN
ejpam-5545	6	77	of	of	ADP
ejpam-5545	6	78	mathematics	mathematic	NOUN
ejpam-5545	6	79	,	,	PUNCT
ejpam-5545	6	80	faculty	faculty	NOUN
ejpam-5545	6	81	of	of	ADP
ejpam-5545	6	82	science	science	NOUN
ejpam-5545	6	83	,	,	PUNCT
ejpam-5545	6	84	helwan	helwan	PROPN
ejpam-5545	6	85	university	university	PROPN
ejpam-5545	6	86	,	,	PUNCT
ejpam-5545	6	87	helwan	helwan	PROPN
ejpam-5545	6	88	11795	11795	NUM
ejpam-5545	6	89	,	,	PUNCT
ejpam-5545	6	90	egypt	egypt	PROPN
ejpam-5545	6	91	abstract	abstract	PROPN
ejpam-5545	6	92	.	.	PUNCT
ejpam-5545	7	1	advancements	advancement	NOUN
ejpam-5545	7	2	in	in	ADP
ejpam-5545	7	3	the	the	DET
ejpam-5545	7	4	rough	rough	ADJ
ejpam-5545	7	5	set	set	NOUN
ejpam-5545	7	6	theory	theory	NOUN
ejpam-5545	7	7	of	of	ADP
ejpam-5545	7	8	pawlak	pawlak	ADJ
ejpam-5545	7	9	have	have	AUX
ejpam-5545	7	10	opened	open	VERB
ejpam-5545	7	11	new	new	ADJ
ejpam-5545	7	12	avenues	avenue	NOUN
ejpam-5545	7	13	for	for	ADP
ejpam-5545	7	14	enhancing	enhance	VERB
ejpam-5545	7	15	decision	decision	NOUN
ejpam-5545	7	16	-	-	PUNCT
ejpam-5545	7	17	making	make	VERB
ejpam-5545	7	18	processes	process	NOUN
ejpam-5545	7	19	,	,	PUNCT
ejpam-5545	7	20	particularly	particularly	ADV
ejpam-5545	7	21	in	in	ADP
ejpam-5545	7	22	identifying	identify	VERB
ejpam-5545	7	23	disease	disease	NOUN
ejpam-5545	7	24	risk	risk	NOUN
ejpam-5545	7	25	factors	factor	NOUN
ejpam-5545	7	26	in	in	ADP
ejpam-5545	7	27	medical	medical	ADJ
ejpam-5545	7	28	diagnoses	diagnosis	NOUN
ejpam-5545	7	29	.	.	PUNCT
ejpam-5545	8	1	while	while	SCONJ
ejpam-5545	8	2	traditional	traditional	ADJ
ejpam-5545	8	3	rough	rough	ADJ
ejpam-5545	8	4	set	set	NOUN
ejpam-5545	8	5	methodologies	methodology	NOUN
ejpam-5545	8	6	have	have	AUX
ejpam-5545	8	7	provided	provide	VERB
ejpam-5545	8	8	a	a	DET
ejpam-5545	8	9	solid	solid	ADJ
ejpam-5545	8	10	foundation	foundation	NOUN
ejpam-5545	8	11	,	,	PUNCT
ejpam-5545	8	12	improvements	improvement	NOUN
ejpam-5545	8	13	are	be	AUX
ejpam-5545	8	14	continuously	continuously	ADV
ejpam-5545	8	15	needed	need	VERB
ejpam-5545	8	16	for	for	ADP
ejpam-5545	8	17	improvements	improvement	NOUN
ejpam-5545	8	18	to	to	PART
ejpam-5545	8	19	increase	increase	VERB
ejpam-5545	8	20	accuracy	accuracy	NOUN
ejpam-5545	8	21	and	and	CCONJ
ejpam-5545	8	22	reliability	reliability	NOUN
ejpam-5545	8	23	.	.	PUNCT
ejpam-5545	9	1	this	this	DET
ejpam-5545	9	2	study	study	NOUN
ejpam-5545	9	3	introduces	introduce	VERB
ejpam-5545	9	4	mathematical	mathematical	ADJ
ejpam-5545	9	5	techniques	technique	NOUN
ejpam-5545	9	6	grounded	ground	VERB
ejpam-5545	9	7	in	in	ADP
ejpam-5545	9	8	basic	basic	ADJ
ejpam-5545	9	9	rough	rough	ADJ
ejpam-5545	9	10	sets	set	NOUN
ejpam-5545	9	11	,	,	PUNCT
ejpam-5545	9	12	incorporating	incorporate	VERB
ejpam-5545	9	13	β	β	NOUN
ejpam-5545	9	14	-	-	ADJ
ejpam-5545	9	15	open	open	ADJ
ejpam-5545	9	16	concepts	concept	NOUN
ejpam-5545	9	17	to	to	PART
ejpam-5545	9	18	enhance	enhance	VERB
ejpam-5545	9	19	precision	precision	NOUN
ejpam-5545	9	20	.	.	PUNCT
ejpam-5545	10	1	we	we	PRON
ejpam-5545	10	2	present	present	VERB
ejpam-5545	10	3	nearly	nearly	ADV
ejpam-5545	10	4	basic	basic	ADJ
ejpam-5545	10	5	rough	rough	ADJ
ejpam-5545	10	6	sets	set	NOUN
ejpam-5545	10	7	and	and	CCONJ
ejpam-5545	10	8	β	β	NOUN
ejpam-5545	10	9	-	-	ADJ
ejpam-5545	10	10	basic	basic	ADJ
ejpam-5545	10	11	approximations	approximation	NOUN
ejpam-5545	10	12	(	(	PUNCT
ejpam-5545	10	13	βb	βb	ADJ
ejpam-5545	10	14	-	-	PUNCT
ejpam-5545	10	15	approximations	approximation	NOUN
ejpam-5545	10	16	)	)	PUNCT
ejpam-5545	10	17	,	,	PUNCT
ejpam-5545	10	18	examining	examine	VERB
ejpam-5545	10	19	their	their	PRON
ejpam-5545	10	20	core	core	NOUN
ejpam-5545	10	21	properties	property	NOUN
ejpam-5545	10	22	and	and	CCONJ
ejpam-5545	10	23	interrelationships	interrelationship	NOUN
ejpam-5545	10	24	.	.	PUNCT
ejpam-5545	11	1	our	our	PRON
ejpam-5545	11	2	findings	finding	NOUN
ejpam-5545	11	3	reveal	reveal	VERB
ejpam-5545	11	4	that	that	SCONJ
ejpam-5545	11	5	these	these	DET
ejpam-5545	11	6	novel	novel	ADJ
ejpam-5545	11	7	constructs	construct	NOUN
ejpam-5545	11	8	offer	offer	VERB
ejpam-5545	11	9	superior	superior	ADJ
ejpam-5545	11	10	accuracy	accuracy	NOUN
ejpam-5545	11	11	compared	compare	VERB
ejpam-5545	11	12	to	to	ADP
ejpam-5545	11	13	traditional	traditional	ADJ
ejpam-5545	11	14	methods	method	NOUN
ejpam-5545	11	15	.	.	PUNCT
ejpam-5545	12	1	both	both	PRON
ejpam-5545	12	2	theoretical	theoretical	ADJ
ejpam-5545	12	3	analysis	analysis	NOUN
ejpam-5545	12	4	and	and	CCONJ
ejpam-5545	12	5	practical	practical	ADJ
ejpam-5545	12	6	examples	example	NOUN
ejpam-5545	12	7	support	support	VERB
ejpam-5545	12	8	this	this	PRON
ejpam-5545	12	9	,	,	PUNCT
ejpam-5545	12	10	with	with	ADP
ejpam-5545	12	11	our	our	PRON
ejpam-5545	12	12	approach	approach	NOUN
ejpam-5545	12	13	achieving	achieve	VERB
ejpam-5545	12	14	a	a	DET
ejpam-5545	12	15	100	100	NUM
ejpam-5545	12	16	%	%	NOUN
ejpam-5545	12	17	accuracy	accuracy	NOUN
ejpam-5545	12	18	rate	rate	NOUN
ejpam-5545	12	19	in	in	ADP
ejpam-5545	12	20	the	the	DET
ejpam-5545	12	21	medical	medical	ADJ
ejpam-5545	12	22	diagnosis	diagnosis	NOUN
ejpam-5545	12	23	of	of	ADP
ejpam-5545	12	24	covid-19	covid-19	PROPN
ejpam-5545	12	25	.	.	PUNCT
ejpam-5545	13	1	this	this	DET
ejpam-5545	13	2	significant	significant	ADJ
ejpam-5545	13	3	improvement	improvement	NOUN
ejpam-5545	13	4	highlights	highlight	NOUN
ejpam-5545	13	5	the	the	DET
ejpam-5545	13	6	potential	potential	NOUN
ejpam-5545	13	7	of	of	ADP
ejpam-5545	13	8	our	our	PRON
ejpam-5545	13	9	methods	method	NOUN
ejpam-5545	13	10	to	to	PART
ejpam-5545	13	11	outperform	outperform	VERB
ejpam-5545	13	12	existing	exist	VERB
ejpam-5545	13	13	ones	one	NOUN
ejpam-5545	13	14	in	in	ADP
ejpam-5545	13	15	terms	term	NOUN
ejpam-5545	13	16	of	of	ADP
ejpam-5545	13	17	precision	precision	NOUN
ejpam-5545	13	18	and	and	CCONJ
ejpam-5545	13	19	reliability	reliability	NOUN
ejpam-5545	13	20	.	.	PUNCT
ejpam-5545	14	1	the	the	DET
ejpam-5545	14	2	introduction	introduction	NOUN
ejpam-5545	14	3	of	of	ADP
ejpam-5545	14	4	βb	βb	ADJ
ejpam-5545	14	5	-	-	PUNCT
ejpam-5545	14	6	approximations	approximation	NOUN
ejpam-5545	14	7	represents	represent	VERB
ejpam-5545	14	8	a	a	DET
ejpam-5545	14	9	significant	significant	ADJ
ejpam-5545	14	10	advancement	advancement	NOUN
ejpam-5545	14	11	in	in	ADP
ejpam-5545	14	12	rough	rough	ADJ
ejpam-5545	14	13	set	set	NOUN
ejpam-5545	14	14	theory	theory	NOUN
ejpam-5545	14	15	,	,	PUNCT
ejpam-5545	14	16	offering	offer	VERB
ejpam-5545	14	17	enhanced	enhance	VERB
ejpam-5545	14	18	accuracy	accuracy	NOUN
ejpam-5545	14	19	in	in	ADP
ejpam-5545	14	20	decision	decision	NOUN
ejpam-5545	14	21	-	-	PUNCT
ejpam-5545	14	22	making	make	VERB
ejpam-5545	14	23	applications	application	NOUN
ejpam-5545	14	24	.	.	PUNCT
ejpam-5545	15	1	our	our	PRON
ejpam-5545	15	2	results	result	NOUN
ejpam-5545	15	3	indicate	indicate	VERB
ejpam-5545	15	4	that	that	SCONJ
ejpam-5545	15	5	these	these	DET
ejpam-5545	15	6	methods	method	NOUN
ejpam-5545	15	7	can	can	AUX
ejpam-5545	15	8	substantially	substantially	ADV
ejpam-5545	15	9	outperform	outperform	VERB
ejpam-5545	15	10	traditional	traditional	ADJ
ejpam-5545	15	11	techniques	technique	NOUN
ejpam-5545	15	12	,	,	PUNCT
ejpam-5545	15	13	especially	especially	ADV
ejpam-5545	15	14	in	in	ADP
ejpam-5545	15	15	critical	critical	ADJ
ejpam-5545	15	16	areas	area	NOUN
ejpam-5545	15	17	such	such	ADJ
ejpam-5545	15	18	as	as	ADP
ejpam-5545	15	19	medical	medical	ADJ
ejpam-5545	15	20	diagnosis	diagnosis	NOUN
ejpam-5545	15	21	.	.	PUNCT
ejpam-5545	16	1	additionally	additionally	ADV
ejpam-5545	16	2	,	,	PUNCT
ejpam-5545	16	3	we	we	PRON
ejpam-5545	16	4	provide	provide	VERB
ejpam-5545	16	5	a	a	DET
ejpam-5545	16	6	mathematical	mathematical	ADJ
ejpam-5545	16	7	algorithm	algorithm	NOUN
ejpam-5545	16	8	suitable	suitable	ADJ
ejpam-5545	16	9	for	for	ADP
ejpam-5545	16	10	implementation	implementation	NOUN
ejpam-5545	16	11	in	in	ADP
ejpam-5545	16	12	programming	programming	NOUN
ejpam-5545	16	13	languages	language	NOUN
ejpam-5545	16	14	,	,	PUNCT
ejpam-5545	16	15	facilitating	facilitate	VERB
ejpam-5545	16	16	future	future	ADJ
ejpam-5545	16	17	research	research	NOUN
ejpam-5545	16	18	and	and	CCONJ
ejpam-5545	16	19	applications	application	NOUN
ejpam-5545	16	20	across	across	ADP
ejpam-5545	16	21	various	various	ADJ
ejpam-5545	16	22	theoretical	theoretical	ADJ
ejpam-5545	16	23	and	and	CCONJ
ejpam-5545	16	24	applied	apply	VERB
ejpam-5545	16	25	fields	field	NOUN
ejpam-5545	16	26	.	.	PUNCT
ejpam-5545	17	1	this	this	DET
ejpam-5545	17	2	work	work	NOUN
ejpam-5545	17	3	lays	lay	VERB
ejpam-5545	17	4	the	the	DET
ejpam-5545	17	5	groundwork	groundwork	NOUN
ejpam-5545	17	6	for	for	ADP
ejpam-5545	17	7	further	far	ADV
ejpam-5545	17	8	exploring	explore	VERB
ejpam-5545	17	9	and	and	CCONJ
ejpam-5545	17	10	utilizing	utilize	VERB
ejpam-5545	17	11	advanced	advanced	ADJ
ejpam-5545	17	12	rough	rough	ADJ
ejpam-5545	17	13	set	set	NOUN
ejpam-5545	17	14	methodologies	methodology	NOUN
ejpam-5545	17	15	in	in	ADP
ejpam-5545	17	16	diverse	diverse	ADJ
ejpam-5545	17	17	domains	domain	NOUN
ejpam-5545	17	18	.	.	PUNCT
ejpam-5545	18	1	2020	2020	NUM
ejpam-5545	18	2	mathematics	mathematic	NOUN
ejpam-5545	18	3	subject	subject	NOUN
ejpam-5545	18	4	classifications	classification	NOUN
ejpam-5545	18	5	:	:	PUNCT
ejpam-5545	18	6	54a05	54a05	NUM
ejpam-5545	18	7	,	,	PUNCT
ejpam-5545	18	8	54a10	54a10	NUM
ejpam-5545	18	9	,	,	PUNCT
ejpam-5545	18	10	54h30	54h30	NUM
ejpam-5545	18	11	,	,	PUNCT
ejpam-5545	18	12	68u01	68u01	NUM
ejpam-5545	18	13	,	,	PUNCT
ejpam-5545	18	14	68u05	68u05	NOUN
ejpam-5545	18	15	,	,	PUNCT
ejpam-5545	18	16	68u35	68u35	NUM
ejpam-5545	18	17	,	,	PUNCT
ejpam-5545	18	18	92c50	92c50	NUM
ejpam-5545	18	19	key	key	ADJ
ejpam-5545	18	20	words	word	NOUN
ejpam-5545	18	21	and	and	CCONJ
ejpam-5545	18	22	phrases	phrase	NOUN
ejpam-5545	18	23	:	:	PUNCT
ejpam-5545	18	24	b	b	X
ejpam-5545	18	25	-	-	PUNCT
ejpam-5545	18	26	neighborhoods	neighborhood	NOUN
ejpam-5545	18	27	;	;	PUNCT
ejpam-5545	18	28	b	b	X
ejpam-5545	18	29	-	-	PUNCT
ejpam-5545	18	30	rough	rough	ADJ
ejpam-5545	18	31	sets	set	NOUN
ejpam-5545	18	32	,	,	PUNCT
ejpam-5545	18	33	βb	βb	ADJ
ejpam-5545	18	34	-	-	PUNCT
ejpam-5545	18	35	rough	rough	ADJ
ejpam-5545	18	36	sets	set	NOUN
ejpam-5545	18	37	,	,	PUNCT
ejpam-5545	18	38	covid-19	covid-19	PROPN
ejpam-5545	18	39	∗corresponding	∗corresponding	NOUN
ejpam-5545	18	40	author	author	NOUN
ejpam-5545	18	41	.	.	PUNCT
ejpam-5545	19	1	doi	doi	NOUN
ejpam-5545	19	2	:	:	PUNCT
ejpam-5545	19	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5545	https://doi.org/10.29020/nybg.ejpam.v17i4.5545	VERB
ejpam-5545	19	4	email	email	NOUN
ejpam-5545	19	5	addresses	address	NOUN
ejpam-5545	19	6	:	:	PUNCT
ejpam-5545	19	7	mostafa.106163@azhar.moe.edu.eg	mostafa.106163@azhar.moe.edu.eg	PROPN
ejpam-5545	19	8	and	and	CCONJ
ejpam-5545	19	9	mkamel	mkamel	NOUN
ejpam-5545	19	10	bably@yahoo.com	bably@yahoo.com	PROPN
ejpam-5545	20	1	(	(	PUNCT
ejpam-5545	20	2	m.	m.	PROPN
ejpam-5545	20	3	k.	k.	PROPN
ejpam-5545	21	1	el	el	PROPN
ejpam-5545	21	2	-	-	PROPN
ejpam-5545	21	3	bably	bably	ADV
ejpam-5545	21	4	)	)	PUNCT
ejpam-5545	21	5	,	,	PUNCT
ejpam-5545	21	6	rgdairi@zu.edu.jo	rgdairi@zu.edu.jo	PROPN
ejpam-5545	21	7	(	(	PUNCT
ejpam-5545	21	8	r.	r.	PROPN
ejpam-5545	21	9	abu	abu	PROPN
ejpam-5545	21	10	-	-	PUNCT
ejpam-5545	21	11	gdairi	gdairi	PROPN
ejpam-5545	21	12	)	)	PUNCT
ejpam-5545	21	13	,	,	PUNCT
ejpam-5545	21	14	kamel	kamel	PROPN
ejpam-5545	21	15	f@bau.edu.jo	f@bau.edu.jo	PROPN
ejpam-5545	21	16	(	(	PUNCT
ejpam-5545	21	17	k.	k.	PROPN
ejpam-5545	21	18	k.	k.	PROPN
ejpam-5545	21	19	fleifel	fleifel	PROPN
ejpam-5545	21	20	)	)	PUNCT
ejpam-5545	21	21	,	,	PUNCT
ejpam-5545	21	22	m.elgayar@science.helwan.edu.eg	m.elgayar@science.helwan.edu.eg	PROPN
ejpam-5545	21	23	(	(	PUNCT
ejpam-5545	21	24	m.	m.	NOUN
ejpam-5545	21	25	a.	a.	PROPN
ejpam-5545	21	26	el	el	PROPN
ejpam-5545	21	27	-	-	PUNCT
ejpam-5545	21	28	gayar	gayar	NOUN
ejpam-5545	21	29	)	)	PUNCT
ejpam-5545	21	30	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5545	22	1	3743	3743	NUM
ejpam-5545	22	2	copyright	copyright	NOUN
ejpam-5545	22	3	:	:	PUNCT
ejpam-5545	22	4	©	©	PROPN
ejpam-5545	22	5	2024	2024	NUM
ejpam-5545	22	6	the	the	DET
ejpam-5545	22	7	author(s	author(s	NOUN
ejpam-5545	22	8	)	)	PUNCT
ejpam-5545	22	9	.	.	PUNCT
ejpam-5545	23	1	(	(	PUNCT
ejpam-5545	23	2	cc	cc	NOUN
ejpam-5545	23	3	by	by	ADP
ejpam-5545	23	4	-	-	PUNCT
ejpam-5545	23	5	nc	nc	PROPN
ejpam-5545	23	6	4.0	4.0	NUM
ejpam-5545	23	7	)	)	PUNCT
ejpam-5545	23	8	m.	m.	NOUN
ejpam-5545	23	9	k.	k.	PROPN
ejpam-5545	24	1	el	el	PROPN
ejpam-5545	24	2	-	-	PROPN
ejpam-5545	24	3	bably	bably	PROPN
ejpam-5545	24	4	et	et	PROPN
ejpam-5545	24	5	al	al	PROPN
ejpam-5545	24	6	.	.	PUNCT
ejpam-5545	24	7	/	/	SYM
ejpam-5545	24	8	eur	eur	PROPN
ejpam-5545	24	9	.	.	PUNCT
ejpam-5545	25	1	j.	j.	PROPN
ejpam-5545	25	2	pure	pure	PROPN
ejpam-5545	25	3	appl	appl	PROPN
ejpam-5545	25	4	.	.	PROPN
ejpam-5545	25	5	math	math	PROPN
ejpam-5545	25	6	,	,	PUNCT
ejpam-5545	25	7	17	17	NUM
ejpam-5545	25	8	(	(	PUNCT
ejpam-5545	25	9	4	4	NUM
ejpam-5545	25	10	)	)	PUNCT
ejpam-5545	25	11	(	(	PUNCT
ejpam-5545	25	12	2024	2024	NUM
ejpam-5545	25	13	)	)	PUNCT
ejpam-5545	25	14	,	,	PUNCT
ejpam-5545	25	15	3743	3743	NUM
ejpam-5545	25	16	-	-	SYM
ejpam-5545	25	17	3771	3771	NUM
ejpam-5545	25	18	3744	3744	NUM
ejpam-5545	25	19	1	1	NUM
ejpam-5545	25	20	.	.	PUNCT
ejpam-5545	26	1	introduction	introduction	NOUN
ejpam-5545	26	2	the	the	DET
ejpam-5545	26	3	rough	rough	ADJ
ejpam-5545	26	4	set	set	NOUN
ejpam-5545	26	5	theory	theory	NOUN
ejpam-5545	26	6	[	[	X
ejpam-5545	26	7	53	53	NUM
ejpam-5545	26	8	,	,	PUNCT
ejpam-5545	26	9	54	54	NUM
ejpam-5545	26	10	]	]	PUNCT
ejpam-5545	26	11	has	have	AUX
ejpam-5545	26	12	recently	recently	ADV
ejpam-5545	26	13	garnered	garner	VERB
ejpam-5545	26	14	considerable	considerable	ADJ
ejpam-5545	26	15	attention	attention	NOUN
ejpam-5545	26	16	in	in	ADP
ejpam-5545	26	17	the	the	DET
ejpam-5545	26	18	fields	field	NOUN
ejpam-5545	26	19	of	of	ADP
ejpam-5545	26	20	artificial	artificial	ADJ
ejpam-5545	26	21	intelligence	intelligence	NOUN
ejpam-5545	26	22	and	and	CCONJ
ejpam-5545	26	23	computer	computer	NOUN
ejpam-5545	26	24	science	science	NOUN
ejpam-5545	26	25	.	.	PUNCT
ejpam-5545	27	1	originally	originally	ADV
ejpam-5545	27	2	introduced	introduce	VERB
ejpam-5545	27	3	by	by	ADP
ejpam-5545	27	4	pawlak	pawlak	ADJ
ejpam-5545	27	5	in	in	ADP
ejpam-5545	27	6	1982	1982	NUM
ejpam-5545	27	7	,	,	PUNCT
ejpam-5545	27	8	this	this	DET
ejpam-5545	27	9	theory	theory	NOUN
ejpam-5545	27	10	effectively	effectively	ADV
ejpam-5545	27	11	addresses	address	VERB
ejpam-5545	27	12	the	the	DET
ejpam-5545	27	13	challenges	challenge	NOUN
ejpam-5545	27	14	posed	pose	VERB
ejpam-5545	27	15	by	by	ADP
ejpam-5545	27	16	incomplete	incomplete	ADJ
ejpam-5545	27	17	knowledge	knowledge	NOUN
ejpam-5545	27	18	,	,	PUNCT
ejpam-5545	27	19	classifying	classify	VERB
ejpam-5545	27	20	objects	object	NOUN
ejpam-5545	27	21	using	use	VERB
ejpam-5545	27	22	equivalence	equivalence	NOUN
ejpam-5545	27	23	relations	relation	NOUN
ejpam-5545	27	24	and	and	CCONJ
ejpam-5545	27	25	assessing	assess	VERB
ejpam-5545	27	26	the	the	DET
ejpam-5545	27	27	completeness	completeness	NOUN
ejpam-5545	27	28	of	of	ADP
ejpam-5545	27	29	information	information	NOUN
ejpam-5545	27	30	within	within	ADP
ejpam-5545	27	31	a	a	DET
ejpam-5545	27	32	specified	specified	ADJ
ejpam-5545	27	33	set	set	NOUN
ejpam-5545	27	34	.	.	PUNCT
ejpam-5545	28	1	the	the	DET
ejpam-5545	28	2	core	core	NOUN
ejpam-5545	28	3	concepts	concept	NOUN
ejpam-5545	28	4	of	of	ADP
ejpam-5545	28	5	rough	rough	ADJ
ejpam-5545	28	6	set	set	NOUN
ejpam-5545	28	7	theory	theory	NOUN
ejpam-5545	28	8	are	be	AUX
ejpam-5545	28	9	based	base	VERB
ejpam-5545	28	10	on	on	ADP
ejpam-5545	28	11	approximation	approximation	NOUN
ejpam-5545	28	12	operators	operator	NOUN
ejpam-5545	28	13	and	and	CCONJ
ejpam-5545	28	14	measures	measure	NOUN
ejpam-5545	28	15	of	of	ADP
ejpam-5545	28	16	accuracy	accuracy	NOUN
ejpam-5545	28	17	,	,	PUNCT
ejpam-5545	28	18	providing	provide	VERB
ejpam-5545	28	19	valuable	valuable	ADJ
ejpam-5545	28	20	insights	insight	NOUN
ejpam-5545	28	21	into	into	ADP
ejpam-5545	28	22	constructing	construct	VERB
ejpam-5545	28	23	boundary	boundary	ADJ
ejpam-5545	28	24	regions	region	NOUN
ejpam-5545	28	25	and	and	CCONJ
ejpam-5545	28	26	their	their	PRON
ejpam-5545	28	27	significance	significance	NOUN
ejpam-5545	28	28	for	for	ADP
ejpam-5545	28	29	decision	decision	NOUN
ejpam-5545	28	30	-	-	PUNCT
ejpam-5545	28	31	making	making	NOUN
ejpam-5545	28	32	.	.	PUNCT
ejpam-5545	29	1	however	however	ADV
ejpam-5545	29	2	,	,	PUNCT
ejpam-5545	29	3	traditional	traditional	ADJ
ejpam-5545	29	4	applications	application	NOUN
ejpam-5545	29	5	of	of	ADP
ejpam-5545	29	6	rough	rough	ADJ
ejpam-5545	29	7	set	set	NOUN
ejpam-5545	29	8	theory	theory	NOUN
ejpam-5545	29	9	are	be	AUX
ejpam-5545	29	10	limited	limit	VERB
ejpam-5545	29	11	by	by	ADP
ejpam-5545	29	12	its	its	PRON
ejpam-5545	29	13	strict	strict	ADJ
ejpam-5545	29	14	reliance	reliance	NOUN
ejpam-5545	29	15	on	on	ADP
ejpam-5545	29	16	equivalence	equivalence	NOUN
ejpam-5545	29	17	relations	relation	NOUN
ejpam-5545	29	18	.	.	PUNCT
ejpam-5545	30	1	to	to	PART
ejpam-5545	30	2	overcome	overcome	VERB
ejpam-5545	30	3	these	these	DET
ejpam-5545	30	4	constraints	constraint	NOUN
ejpam-5545	30	5	,	,	PUNCT
ejpam-5545	30	6	several	several	ADJ
ejpam-5545	30	7	extensions	extension	NOUN
ejpam-5545	30	8	of	of	ADP
ejpam-5545	30	9	the	the	DET
ejpam-5545	30	10	theory	theory	NOUN
ejpam-5545	30	11	have	have	AUX
ejpam-5545	30	12	been	be	AUX
ejpam-5545	30	13	developed	develop	VERB
ejpam-5545	30	14	,	,	PUNCT
ejpam-5545	30	15	utilizing	utilize	VERB
ejpam-5545	30	16	binary	binary	ADJ
ejpam-5545	30	17	or	or	CCONJ
ejpam-5545	30	18	other	other	ADJ
ejpam-5545	30	19	types	type	NOUN
ejpam-5545	30	20	of	of	ADP
ejpam-5545	30	21	relations	relation	NOUN
ejpam-5545	30	22	.	.	PUNCT
ejpam-5545	31	1	in	in	ADP
ejpam-5545	31	2	1998	1998	NUM
ejpam-5545	31	3	,	,	PUNCT
ejpam-5545	31	4	yao	yao	PROPN
ejpam-5545	31	5	broke	break	VERB
ejpam-5545	31	6	free	free	ADJ
ejpam-5545	31	7	from	from	ADP
ejpam-5545	31	8	the	the	DET
ejpam-5545	31	9	constraints	constraint	NOUN
ejpam-5545	31	10	of	of	ADP
ejpam-5545	31	11	equivalence	equivalence	NOUN
ejpam-5545	31	12	relations	relation	NOUN
ejpam-5545	31	13	and	and	CCONJ
ejpam-5545	31	14	was	be	AUX
ejpam-5545	31	15	the	the	DET
ejpam-5545	31	16	first	first	ADJ
ejpam-5545	31	17	to	to	PART
ejpam-5545	31	18	propose	propose	VERB
ejpam-5545	31	19	a	a	DET
ejpam-5545	31	20	method	method	NOUN
ejpam-5545	31	21	for	for	ADP
ejpam-5545	31	22	generalizing	generalize	VERB
ejpam-5545	31	23	pawlak	pawlak	ADJ
ejpam-5545	31	24	’s	’s	PART
ejpam-5545	31	25	theorem	theorem	NOUN
ejpam-5545	31	26	using	use	VERB
ejpam-5545	31	27	a	a	DET
ejpam-5545	31	28	general	general	ADJ
ejpam-5545	31	29	binary	binary	PROPN
ejpam-5545	31	30	relation	relation	PROPN
ejpam-5545	31	31	,	,	PUNCT
ejpam-5545	31	32	without	without	ADP
ejpam-5545	31	33	imposing	impose	VERB
ejpam-5545	31	34	conditions	condition	NOUN
ejpam-5545	31	35	on	on	ADP
ejpam-5545	31	36	the	the	DET
ejpam-5545	31	37	relation	relation	NOUN
ejpam-5545	31	38	.	.	PUNCT
ejpam-5545	32	1	yao	yao	PROPN
ejpam-5545	32	2	introduced	introduce	VERB
ejpam-5545	32	3	the	the	DET
ejpam-5545	32	4	concept	concept	NOUN
ejpam-5545	32	5	of	of	ADP
ejpam-5545	32	6	neighborhoods	neighborhood	NOUN
ejpam-5545	32	7	derived	derive	VERB
ejpam-5545	32	8	from	from	ADP
ejpam-5545	32	9	binary	binary	ADJ
ejpam-5545	32	10	relations	relation	NOUN
ejpam-5545	32	11	into	into	ADP
ejpam-5545	32	12	the	the	DET
ejpam-5545	32	13	methodology	methodology	NOUN
ejpam-5545	32	14	of	of	ADP
ejpam-5545	32	15	inductive	inductive	ADJ
ejpam-5545	32	16	set	set	PROPN
ejpam-5545	32	17	theory	theory	NOUN
ejpam-5545	32	18	,	,	PUNCT
ejpam-5545	32	19	pioneering	pioneer	VERB
ejpam-5545	32	20	this	this	DET
ejpam-5545	32	21	new	new	ADJ
ejpam-5545	32	22	direction	direction	NOUN
ejpam-5545	32	23	.	.	PUNCT
ejpam-5545	33	1	this	this	DET
ejpam-5545	33	2	work	work	NOUN
ejpam-5545	33	3	paved	pave	VERB
ejpam-5545	33	4	the	the	DET
ejpam-5545	33	5	way	way	NOUN
ejpam-5545	33	6	for	for	SCONJ
ejpam-5545	33	7	many	many	ADJ
ejpam-5545	33	8	researchers	researcher	NOUN
ejpam-5545	33	9	to	to	PART
ejpam-5545	33	10	develop	develop	VERB
ejpam-5545	33	11	neighborhood	neighborhood	NOUN
ejpam-5545	33	12	systems	system	NOUN
ejpam-5545	33	13	that	that	PRON
ejpam-5545	33	14	infer	infer	VERB
ejpam-5545	33	15	different	different	ADJ
ejpam-5545	33	16	neighborhoods	neighborhood	NOUN
ejpam-5545	33	17	from	from	ADP
ejpam-5545	33	18	binary	binary	ADJ
ejpam-5545	33	19	relations	relation	NOUN
ejpam-5545	33	20	.	.	PUNCT
ejpam-5545	34	1	in	in	ADP
ejpam-5545	34	2	[	[	X
ejpam-5545	34	3	65	65	NUM
ejpam-5545	34	4	]	]	PUNCT
ejpam-5545	34	5	,	,	PUNCT
ejpam-5545	34	6	yao	yao	PROPN
ejpam-5545	34	7	pioneered	pioneer	VERB
ejpam-5545	34	8	a	a	DET
ejpam-5545	34	9	technique	technique	NOUN
ejpam-5545	34	10	based	base	VERB
ejpam-5545	34	11	on	on	ADP
ejpam-5545	34	12	the	the	DET
ejpam-5545	34	13	idea	idea	NOUN
ejpam-5545	34	14	of	of	ADP
ejpam-5545	34	15	right	right	ADJ
ejpam-5545	34	16	and	and	CCONJ
ejpam-5545	34	17	left	leave	VERB
ejpam-5545	34	18	neighborhoods	neighborhood	NOUN
ejpam-5545	34	19	,	,	PUNCT
ejpam-5545	34	20	corresponding	correspond	VERB
ejpam-5545	34	21	to	to	ADP
ejpam-5545	34	22	the	the	DET
ejpam-5545	34	23	concepts	concept	NOUN
ejpam-5545	34	24	of	of	ADP
ejpam-5545	34	25	after	after	ADP
ejpam-5545	34	26	-	-	PUNCT
ejpam-5545	34	27	sets	set	NOUN
ejpam-5545	34	28	and	and	CCONJ
ejpam-5545	34	29	fore	fore	NOUN
ejpam-5545	34	30	-	-	PUNCT
ejpam-5545	34	31	sets	set	NOUN
ejpam-5545	34	32	[	[	X
ejpam-5545	34	33	26	26	NUM
ejpam-5545	34	34	]	]	PUNCT
ejpam-5545	34	35	,	,	PUNCT
ejpam-5545	34	36	respectively	respectively	ADV
ejpam-5545	34	37	.	.	PUNCT
ejpam-5545	35	1	however	however	ADV
ejpam-5545	35	2	,	,	PUNCT
ejpam-5545	35	3	yao	yao	PROPN
ejpam-5545	35	4	demonstrated	demonstrate	VERB
ejpam-5545	35	5	that	that	SCONJ
ejpam-5545	35	6	the	the	DET
ejpam-5545	35	7	approximations	approximation	NOUN
ejpam-5545	35	8	generated	generate	VERB
ejpam-5545	35	9	through	through	ADP
ejpam-5545	35	10	these	these	DET
ejpam-5545	35	11	neighborhoods	neighborhood	NOUN
ejpam-5545	35	12	did	do	AUX
ejpam-5545	35	13	not	not	PART
ejpam-5545	35	14	satisfy	satisfy	VERB
ejpam-5545	35	15	all	all	PRON
ejpam-5545	35	16	of	of	ADP
ejpam-5545	35	17	pawlak	pawlak	ADJ
ejpam-5545	35	18	’s	’s	PART
ejpam-5545	35	19	axioms	axiom	NOUN
ejpam-5545	35	20	.	.	PUNCT
ejpam-5545	36	1	therefore	therefore	ADV
ejpam-5545	36	2	,	,	PUNCT
ejpam-5545	36	3	as	as	SCONJ
ejpam-5545	36	4	yao	yao	PROPN
ejpam-5545	36	5	indicated	indicate	VERB
ejpam-5545	36	6	,	,	PUNCT
ejpam-5545	36	7	additional	additional	ADJ
ejpam-5545	36	8	conditions	condition	NOUN
ejpam-5545	36	9	must	must	AUX
ejpam-5545	36	10	be	be	AUX
ejpam-5545	36	11	imposed	impose	VERB
ejpam-5545	36	12	on	on	ADP
ejpam-5545	36	13	relations	relation	NOUN
ejpam-5545	36	14	to	to	PART
ejpam-5545	36	15	satisfy	satisfy	VERB
ejpam-5545	36	16	pawlak	pawlak	ADJ
ejpam-5545	36	17	’s	’s	PART
ejpam-5545	36	18	properties	property	NOUN
ejpam-5545	36	19	.	.	PUNCT
ejpam-5545	37	1	since	since	SCONJ
ejpam-5545	37	2	then	then	ADV
ejpam-5545	37	3	,	,	PUNCT
ejpam-5545	37	4	many	many	ADJ
ejpam-5545	37	5	researchers	researcher	NOUN
ejpam-5545	37	6	(	(	PUNCT
ejpam-5545	37	7	for	for	ADP
ejpam-5545	37	8	instance	instance	NOUN
ejpam-5545	37	9	,	,	PUNCT
ejpam-5545	37	10	[	[	X
ejpam-5545	37	11	1	1	NUM
ejpam-5545	37	12	,	,	PUNCT
ejpam-5545	37	13	3	3	NUM
ejpam-5545	37	14	,	,	PUNCT
ejpam-5545	37	15	4	4	NUM
ejpam-5545	37	16	,	,	PUNCT
ejpam-5545	37	17	50	50	NUM
ejpam-5545	37	18	]	]	PUNCT
ejpam-5545	37	19	have	have	AUX
ejpam-5545	37	20	used	use	VERB
ejpam-5545	37	21	this	this	DET
ejpam-5545	37	22	technique	technique	NOUN
ejpam-5545	37	23	to	to	PART
ejpam-5545	37	24	propose	propose	VERB
ejpam-5545	37	25	extensions	extension	NOUN
ejpam-5545	37	26	based	base	VERB
ejpam-5545	37	27	on	on	ADP
ejpam-5545	37	28	different	different	ADJ
ejpam-5545	37	29	types	type	NOUN
ejpam-5545	37	30	of	of	ADP
ejpam-5545	37	31	binary	binary	ADJ
ejpam-5545	37	32	relations	relation	NOUN
ejpam-5545	37	33	,	,	PUNCT
ejpam-5545	37	34	such	such	ADJ
ejpam-5545	37	35	as	as	ADP
ejpam-5545	37	36	tolerance	tolerance	NOUN
ejpam-5545	37	37	relations	relation	NOUN
ejpam-5545	37	38	[	[	X
ejpam-5545	37	39	58	58	NUM
ejpam-5545	37	40	]	]	PUNCT
ejpam-5545	37	41	,	,	PUNCT
ejpam-5545	37	42	similarity	similarity	NOUN
ejpam-5545	37	43	relations	relation	NOUN
ejpam-5545	37	44	[	[	X
ejpam-5545	37	45	1	1	NUM
ejpam-5545	37	46	,	,	PUNCT
ejpam-5545	37	47	2	2	NUM
ejpam-5545	37	48	,	,	PUNCT
ejpam-5545	37	49	27	27	NUM
ejpam-5545	37	50	]	]	PUNCT
ejpam-5545	37	51	,	,	PUNCT
ejpam-5545	37	52	quasi	quasi	ADJ
ejpam-5545	37	53	-	-	NOUN
ejpam-5545	37	54	order	order	NOUN
ejpam-5545	37	55	relations	relation	NOUN
ejpam-5545	37	56	[	[	X
ejpam-5545	37	57	55	55	NUM
ejpam-5545	37	58	]	]	PUNCT
ejpam-5545	37	59	,	,	PUNCT
ejpam-5545	37	60	and	and	CCONJ
ejpam-5545	37	61	general	general	ADJ
ejpam-5545	37	62	binary	binary	NOUN
ejpam-5545	37	63	relations	relation	NOUN
ejpam-5545	38	1	[	[	X
ejpam-5545	38	2	7	7	NUM
ejpam-5545	38	3	,	,	PUNCT
ejpam-5545	38	4	18	18	NUM
ejpam-5545	38	5	,	,	PUNCT
ejpam-5545	38	6	19	19	NUM
ejpam-5545	38	7	]	]	PUNCT
ejpam-5545	38	8	.	.	PUNCT
ejpam-5545	39	1	allam	allam	PROPN
ejpam-5545	39	2	et	et	PROPN
ejpam-5545	39	3	al	al	PROPN
ejpam-5545	39	4	.	.	PROPN
ejpam-5545	39	5	were	be	AUX
ejpam-5545	39	6	the	the	DET
ejpam-5545	39	7	first	first	ADJ
ejpam-5545	39	8	to	to	PART
ejpam-5545	39	9	propose	propose	VERB
ejpam-5545	39	10	the	the	DET
ejpam-5545	39	11	concepts	concept	NOUN
ejpam-5545	39	12	of	of	ADP
ejpam-5545	39	13	minimal	minimal	ADJ
ejpam-5545	39	14	-	-	PUNCT
ejpam-5545	39	15	right	right	ADJ
ejpam-5545	39	16	and	and	CCONJ
ejpam-5545	39	17	minimal	minimal	ADJ
ejpam-5545	39	18	-	-	PUNCT
ejpam-5545	39	19	left	left	ADJ
ejpam-5545	39	20	neighborhoods	neighborhood	NOUN
ejpam-5545	39	21	based	base	VERB
ejpam-5545	39	22	on	on	ADP
ejpam-5545	39	23	right	right	ADJ
ejpam-5545	39	24	and	and	CCONJ
ejpam-5545	39	25	left	leave	VERB
ejpam-5545	39	26	neighborhoods	neighborhood	NOUN
ejpam-5545	39	27	,	,	PUNCT
ejpam-5545	39	28	respectively	respectively	ADV
ejpam-5545	39	29	,	,	PUNCT
ejpam-5545	39	30	in	in	ADP
ejpam-5545	39	31	[	[	X
ejpam-5545	39	32	19	19	NUM
ejpam-5545	39	33	]	]	PUNCT
ejpam-5545	39	34	and	and	CCONJ
ejpam-5545	39	35	[	[	X
ejpam-5545	39	36	18	18	NUM
ejpam-5545	39	37	]	]	PUNCT
ejpam-5545	39	38	.	.	PUNCT
ejpam-5545	40	1	they	they	PRON
ejpam-5545	40	2	also	also	ADV
ejpam-5545	40	3	introduced	introduce	VERB
ejpam-5545	40	4	innovative	innovative	ADJ
ejpam-5545	40	5	methods	method	NOUN
ejpam-5545	40	6	for	for	ADP
ejpam-5545	40	7	rough	rough	ADJ
ejpam-5545	40	8	sets	set	NOUN
ejpam-5545	40	9	.	.	PUNCT
ejpam-5545	41	1	abd	abd	PROPN
ejpam-5545	41	2	el	el	PROPN
ejpam-5545	41	3	-	-	PROPN
ejpam-5545	41	4	monsef	monsef	PROPN
ejpam-5545	41	5	et	et	PROPN
ejpam-5545	41	6	al	al	PROPN
ejpam-5545	41	7	.	.	PUNCT
ejpam-5545	42	1	[	[	X
ejpam-5545	42	2	40	40	NUM
ejpam-5545	42	3	]	]	PUNCT
ejpam-5545	42	4	introduced	introduce	VERB
ejpam-5545	42	5	the	the	DET
ejpam-5545	42	6	concept	concept	NOUN
ejpam-5545	42	7	of	of	ADP
ejpam-5545	42	8	a	a	DET
ejpam-5545	42	9	ȷ	ȷ	NOUN
ejpam-5545	42	10	-	-	PUNCT
ejpam-5545	42	11	neighborhood	neighborhood	NOUN
ejpam-5545	42	12	space	space	NOUN
ejpam-5545	42	13	(	(	PUNCT
ejpam-5545	42	14	abbreviated	abbreviate	VERB
ejpam-5545	42	15	as	as	ADP
ejpam-5545	42	16	ȷ	ȷ	NOUN
ejpam-5545	42	17	-	-	PUNCT
ejpam-5545	42	18	ns	ns	NUM
ejpam-5545	42	19	)	)	PUNCT
ejpam-5545	42	20	in	in	ADP
ejpam-5545	42	21	2014	2014	NUM
ejpam-5545	42	22	,	,	PUNCT
ejpam-5545	42	23	which	which	PRON
ejpam-5545	42	24	extends	extend	VERB
ejpam-5545	42	25	the	the	DET
ejpam-5545	42	26	existing	exist	VERB
ejpam-5545	42	27	notion	notion	NOUN
ejpam-5545	42	28	of	of	ADP
ejpam-5545	42	29	neighborhood	neighborhood	NOUN
ejpam-5545	42	30	spaces	space	NOUN
ejpam-5545	42	31	by	by	ADP
ejpam-5545	42	32	utilizing	utilize	VERB
ejpam-5545	42	33	binary	binary	ADJ
ejpam-5545	42	34	relations	relation	NOUN
ejpam-5545	42	35	.	.	PUNCT
ejpam-5545	43	1	they	they	PRON
ejpam-5545	43	2	defined	define	VERB
ejpam-5545	43	3	two	two	NUM
ejpam-5545	43	4	new	new	ADJ
ejpam-5545	43	5	types	type	NOUN
ejpam-5545	43	6	of	of	ADP
ejpam-5545	43	7	neighborhoods	neighborhood	NOUN
ejpam-5545	43	8	—	—	PUNCT
ejpam-5545	43	9	intersections	intersection	NOUN
ejpam-5545	43	10	and	and	CCONJ
ejpam-5545	43	11	unions	union	NOUN
ejpam-5545	43	12	of	of	ADP
ejpam-5545	43	13	neighborhoods	neighborhood	NOUN
ejpam-5545	43	14	—	—	PUNCT
ejpam-5545	43	15	using	use	VERB
ejpam-5545	43	16	right	right	NOUN
ejpam-5545	43	17	and	and	CCONJ
ejpam-5545	43	18	left	leave	VERB
ejpam-5545	43	19	neighborhoods	neighborhood	NOUN
ejpam-5545	43	20	,	,	PUNCT
ejpam-5545	43	21	as	as	SCONJ
ejpam-5545	43	22	defined	define	VERB
ejpam-5545	43	23	by	by	ADP
ejpam-5545	43	24	yao	yao	PROPN
ejpam-5545	43	25	,	,	PUNCT
ejpam-5545	43	26	along	along	ADP
ejpam-5545	43	27	with	with	ADP
ejpam-5545	43	28	minimal	minimal	ADJ
ejpam-5545	43	29	right	right	NOUN
ejpam-5545	43	30	and	and	CCONJ
ejpam-5545	43	31	left	leave	VERB
ejpam-5545	43	32	neighborhoods	neighborhood	NOUN
ejpam-5545	43	33	as	as	SCONJ
ejpam-5545	43	34	defined	define	VERB
ejpam-5545	43	35	by	by	ADP
ejpam-5545	43	36	allam	allam	PROPN
ejpam-5545	43	37	et	et	PROPN
ejpam-5545	43	38	al	al	PROPN
ejpam-5545	43	39	.	.	PUNCT
ejpam-5545	44	1	this	this	DET
ejpam-5545	44	2	approach	approach	NOUN
ejpam-5545	44	3	resulted	result	VERB
ejpam-5545	44	4	in	in	ADP
ejpam-5545	44	5	the	the	DET
ejpam-5545	44	6	creation	creation	NOUN
ejpam-5545	44	7	of	of	ADP
ejpam-5545	44	8	eight	eight	NUM
ejpam-5545	44	9	distinct	distinct	ADJ
ejpam-5545	44	10	types	type	NOUN
ejpam-5545	44	11	of	of	ADP
ejpam-5545	44	12	component	component	NOUN
ejpam-5545	44	13	neighborhoods	neighborhood	NOUN
ejpam-5545	44	14	based	base	VERB
ejpam-5545	44	15	on	on	ADP
ejpam-5545	44	16	binary	binary	ADJ
ejpam-5545	44	17	relations	relation	NOUN
ejpam-5545	44	18	.	.	PUNCT
ejpam-5545	45	1	their	their	PRON
ejpam-5545	45	2	methodology	methodology	NOUN
ejpam-5545	45	3	offers	offer	VERB
ejpam-5545	45	4	an	an	DET
ejpam-5545	45	5	intriguing	intriguing	ADJ
ejpam-5545	45	6	technique	technique	NOUN
ejpam-5545	45	7	for	for	ADP
ejpam-5545	45	8	generalizing	generalize	VERB
ejpam-5545	45	9	pawlak	pawlak	ADJ
ejpam-5545	45	10	’s	’s	PART
ejpam-5545	45	11	method	method	NOUN
ejpam-5545	45	12	using	use	VERB
ejpam-5545	45	13	binary	binary	ADJ
ejpam-5545	45	14	relations	relation	NOUN
ejpam-5545	45	15	without	without	ADP
ejpam-5545	45	16	imposing	impose	VERB
ejpam-5545	45	17	restrictions	restriction	NOUN
ejpam-5545	45	18	on	on	ADP
ejpam-5545	45	19	the	the	DET
ejpam-5545	45	20	relations	relation	NOUN
ejpam-5545	45	21	.	.	PUNCT
ejpam-5545	46	1	the	the	DET
ejpam-5545	46	2	approach	approach	NOUN
ejpam-5545	46	3	is	be	AUX
ejpam-5545	46	4	based	base	VERB
ejpam-5545	46	5	on	on	ADP
ejpam-5545	46	6	topological	topological	ADJ
ejpam-5545	46	7	structures	structure	NOUN
ejpam-5545	46	8	,	,	PUNCT
ejpam-5545	46	9	which	which	PRON
ejpam-5545	46	10	has	have	AUX
ejpam-5545	46	11	paved	pave	VERB
ejpam-5545	46	12	the	the	DET
ejpam-5545	46	13	way	way	NOUN
ejpam-5545	46	14	for	for	SCONJ
ejpam-5545	46	15	many	many	ADJ
ejpam-5545	46	16	authors	author	NOUN
ejpam-5545	46	17	to	to	PART
ejpam-5545	46	18	propose	propose	VERB
ejpam-5545	46	19	various	various	ADJ
ejpam-5545	46	20	methods	method	NOUN
ejpam-5545	46	21	for	for	ADP
ejpam-5545	46	22	generalizing	generalize	VERB
ejpam-5545	46	23	pawlak	pawlak	ADJ
ejpam-5545	46	24	rough	rough	ADJ
ejpam-5545	46	25	sets	set	NOUN
ejpam-5545	46	26	using	use	VERB
ejpam-5545	46	27	ȷ	ȷ	NOUN
ejpam-5545	46	28	-	-	PUNCT
ejpam-5545	46	29	ns	ns	ADJ
ejpam-5545	46	30	,	,	PUNCT
ejpam-5545	46	31	applying	apply	VERB
ejpam-5545	46	32	several	several	ADJ
ejpam-5545	46	33	topological	topological	ADJ
ejpam-5545	46	34	structures	structure	NOUN
ejpam-5545	46	35	in	in	ADP
ejpam-5545	46	36	the	the	DET
ejpam-5545	46	37	rough	rough	ADJ
ejpam-5545	46	38	set	set	NOUN
ejpam-5545	46	39	context	context	NOUN
ejpam-5545	46	40	.	.	PUNCT
ejpam-5545	47	1	m.	m.	PROPN
ejpam-5545	47	2	k.	k.	PROPN
ejpam-5545	48	1	el	el	PROPN
ejpam-5545	48	2	-	-	PROPN
ejpam-5545	48	3	bably	bably	PROPN
ejpam-5545	48	4	et	et	PROPN
ejpam-5545	48	5	al	al	PROPN
ejpam-5545	48	6	.	.	PUNCT
ejpam-5545	48	7	/	/	SYM
ejpam-5545	48	8	eur	eur	PROPN
ejpam-5545	48	9	.	.	PUNCT
ejpam-5545	49	1	j.	j.	PROPN
ejpam-5545	49	2	pure	pure	PROPN
ejpam-5545	49	3	appl	appl	PROPN
ejpam-5545	49	4	.	.	PROPN
ejpam-5545	49	5	math	math	PROPN
ejpam-5545	49	6	,	,	PUNCT
ejpam-5545	49	7	17	17	NUM
ejpam-5545	49	8	(	(	PUNCT
ejpam-5545	49	9	4	4	NUM
ejpam-5545	49	10	)	)	PUNCT
ejpam-5545	49	11	(	(	PUNCT
ejpam-5545	49	12	2024	2024	NUM
ejpam-5545	49	13	)	)	PUNCT
ejpam-5545	49	14	,	,	PUNCT
ejpam-5545	49	15	3743	3743	NUM
ejpam-5545	49	16	-	-	SYM
ejpam-5545	49	17	3771	3771	NUM
ejpam-5545	49	18	3745	3745	NUM
ejpam-5545	49	19	it	it	PRON
ejpam-5545	49	20	is	be	AUX
ejpam-5545	49	21	worth	worth	ADJ
ejpam-5545	49	22	noting	note	VERB
ejpam-5545	49	23	that	that	SCONJ
ejpam-5545	49	24	the	the	DET
ejpam-5545	49	25	concept	concept	NOUN
ejpam-5545	49	26	of	of	ADP
ejpam-5545	49	27	intersection	intersection	NOUN
ejpam-5545	49	28	and	and	CCONJ
ejpam-5545	49	29	union	union	NOUN
ejpam-5545	49	30	neighborhoods	neighborhood	NOUN
ejpam-5545	49	31	,	,	PUNCT
ejpam-5545	49	32	introduced	introduce	VERB
ejpam-5545	49	33	by	by	ADP
ejpam-5545	49	34	abd	abd	PROPN
ejpam-5545	49	35	el	el	PROPN
ejpam-5545	49	36	-	-	PROPN
ejpam-5545	49	37	monsef	monsef	PROPN
ejpam-5545	49	38	et	et	PROPN
ejpam-5545	49	39	al	al	PROPN
ejpam-5545	49	40	.	.	PUNCT
ejpam-5545	50	1	[	[	X
ejpam-5545	50	2	40	40	NUM
ejpam-5545	50	3	]	]	PUNCT
ejpam-5545	50	4	,	,	PUNCT
ejpam-5545	50	5	has	have	AUX
ejpam-5545	50	6	been	be	AUX
ejpam-5545	50	7	utilized	utilize	VERB
ejpam-5545	50	8	in	in	ADP
ejpam-5545	50	9	various	various	ADJ
ejpam-5545	50	10	studies	study	NOUN
ejpam-5545	50	11	.	.	PUNCT
ejpam-5545	51	1	subsequently	subsequently	ADV
ejpam-5545	51	2	,	,	PUNCT
ejpam-5545	51	3	several	several	ADJ
ejpam-5545	51	4	new	new	ADJ
ejpam-5545	51	5	types	type	NOUN
ejpam-5545	51	6	of	of	ADP
ejpam-5545	51	7	neighborhoods	neighborhood	NOUN
ejpam-5545	51	8	have	have	AUX
ejpam-5545	51	9	been	be	AUX
ejpam-5545	51	10	proposed	propose	VERB
ejpam-5545	51	11	,	,	PUNCT
ejpam-5545	51	12	building	build	VERB
ejpam-5545	51	13	upon	upon	SCONJ
ejpam-5545	51	14	the	the	DET
ejpam-5545	51	15	eight	eight	NUM
ejpam-5545	51	16	types	type	NOUN
ejpam-5545	51	17	introduced	introduce	VERB
ejpam-5545	51	18	by	by	ADP
ejpam-5545	51	19	abd	abd	PROPN
ejpam-5545	51	20	el	el	PROPN
ejpam-5545	51	21	-	-	PROPN
ejpam-5545	51	22	monsef	monsef	PROPN
ejpam-5545	51	23	et	et	PROPN
ejpam-5545	51	24	al	al	PROPN
ejpam-5545	51	25	.	.	PUNCT
ejpam-5545	52	1	[	[	X
ejpam-5545	52	2	40	40	NUM
ejpam-5545	52	3	]	]	X
ejpam-5545	52	4	,	,	PUNCT
ejpam-5545	52	5	such	such	ADJ
ejpam-5545	52	6	as	as	ADP
ejpam-5545	52	7	e	e	NOUN
ejpam-5545	52	8	-	-	NOUN
ejpam-5545	52	9	neighborhoods	neighborhood	NOUN
ejpam-5545	52	10	[	[	X
ejpam-5545	52	11	13	13	NUM
ejpam-5545	52	12	]	]	PUNCT
ejpam-5545	52	13	and	and	CCONJ
ejpam-5545	52	14	maximal	maximal	ADJ
ejpam-5545	52	15	neighborhoods	neighborhood	NOUN
ejpam-5545	52	16	[	[	X
ejpam-5545	52	17	11	11	NUM
ejpam-5545	52	18	,	,	PUNCT
ejpam-5545	52	19	14	14	NUM
ejpam-5545	52	20	]	]	PUNCT
ejpam-5545	52	21	,	,	PUNCT
ejpam-5545	52	22	further	far	ADV
ejpam-5545	52	23	expanding	expand	VERB
ejpam-5545	52	24	pawlak	pawlak	ADJ
ejpam-5545	52	25	’s	’s	PART
ejpam-5545	52	26	rough	rough	ADJ
ejpam-5545	52	27	sets	set	NOUN
ejpam-5545	52	28	through	through	ADP
ejpam-5545	52	29	different	different	ADJ
ejpam-5545	52	30	topologies	topology	NOUN
ejpam-5545	52	31	derived	derive	VERB
ejpam-5545	52	32	from	from	ADP
ejpam-5545	52	33	ȷ	ȷ	NOUN
ejpam-5545	52	34	-	-	PUNCT
ejpam-5545	52	35	ns	ns	ADJ
ejpam-5545	52	36	.	.	PUNCT
ejpam-5545	52	37	further	further	ADJ
ejpam-5545	52	38	studies	study	NOUN
ejpam-5545	52	39	have	have	AUX
ejpam-5545	52	40	uncovered	uncover	VERB
ejpam-5545	52	41	additional	additional	ADJ
ejpam-5545	52	42	operators	operator	NOUN
ejpam-5545	52	43	connecting	connect	VERB
ejpam-5545	52	44	ȷ	ȷ	NOUN
ejpam-5545	52	45	-	-	PUNCT
ejpam-5545	52	46	ns	ns	ADJ
ejpam-5545	52	47	to	to	ADP
ejpam-5545	52	48	novel	novel	ADJ
ejpam-5545	52	49	types	type	NOUN
ejpam-5545	52	50	of	of	ADP
ejpam-5545	52	51	neighborhood	neighborhood	NOUN
ejpam-5545	52	52	systems	system	NOUN
ejpam-5545	52	53	.	.	PUNCT
ejpam-5545	53	1	for	for	ADP
ejpam-5545	53	2	example	example	NOUN
ejpam-5545	53	3	,	,	PUNCT
ejpam-5545	53	4	in	in	ADP
ejpam-5545	53	5	2020	2020	NUM
ejpam-5545	53	6	,	,	PUNCT
ejpam-5545	53	7	atef	atef	PROPN
ejpam-5545	53	8	et	et	PROPN
ejpam-5545	53	9	al	al	PROPN
ejpam-5545	53	10	.	.	PUNCT
ejpam-5545	54	1	[	[	X
ejpam-5545	54	2	21	21	NUM
ejpam-5545	54	3	]	]	PUNCT
ejpam-5545	54	4	developed	develop	VERB
ejpam-5545	54	5	an	an	DET
ejpam-5545	54	6	adhesion	adhesion	NOUN
ejpam-5545	54	7	ȷ	ȷ	NOUN
ejpam-5545	54	8	-	-	PUNCT
ejpam-5545	54	9	neighborhood	neighborhood	NOUN
ejpam-5545	54	10	space	space	NOUN
ejpam-5545	54	11	,	,	PUNCT
ejpam-5545	54	12	highlighting	highlight	VERB
ejpam-5545	54	13	the	the	DET
ejpam-5545	54	14	applicability	applicability	NOUN
ejpam-5545	54	15	of	of	ADP
ejpam-5545	54	16	ȷ	ȷ	NOUN
ejpam-5545	54	17	-	-	PUNCT
ejpam-5545	54	18	ns	ns	ADJ
ejpam-5545	54	19	in	in	ADP
ejpam-5545	54	20	the	the	DET
ejpam-5545	54	21	evolving	evolve	VERB
ejpam-5545	54	22	concepts	concept	NOUN
ejpam-5545	54	23	of	of	ADP
ejpam-5545	54	24	adhesion	adhesion	NOUN
ejpam-5545	54	25	sets	set	NOUN
ejpam-5545	54	26	[	[	X
ejpam-5545	54	27	50	50	NUM
ejpam-5545	54	28	]	]	PUNCT
ejpam-5545	54	29	.	.	PUNCT
ejpam-5545	55	1	errors	error	NOUN
ejpam-5545	55	2	in	in	ADP
ejpam-5545	55	3	atef	atef	PROPN
ejpam-5545	55	4	et	et	PROPN
ejpam-5545	55	5	al	al	PROPN
ejpam-5545	55	6	.	.	PROPN
ejpam-5545	55	7	’s	’s	PART
ejpam-5545	55	8	results	result	NOUN
ejpam-5545	55	9	were	be	AUX
ejpam-5545	55	10	later	later	ADV
ejpam-5545	55	11	corrected	correct	VERB
ejpam-5545	55	12	by	by	ADP
ejpam-5545	55	13	el	el	PROPN
ejpam-5545	55	14	-	-	PROPN
ejpam-5545	55	15	bably	bably	PROPN
ejpam-5545	55	16	et	et	PROPN
ejpam-5545	55	17	al	al	PROPN
ejpam-5545	55	18	.	.	PUNCT
ejpam-5545	56	1	[	[	X
ejpam-5545	56	2	31	31	NUM
ejpam-5545	56	3	]	]	PUNCT
ejpam-5545	56	4	,	,	PUNCT
ejpam-5545	56	5	providing	provide	VERB
ejpam-5545	56	6	new	new	ADJ
ejpam-5545	56	7	insights	insight	NOUN
ejpam-5545	56	8	.	.	PUNCT
ejpam-5545	57	1	additionally	additionally	ADV
ejpam-5545	57	2	,	,	PUNCT
ejpam-5545	57	3	in	in	ADP
ejpam-5545	57	4	2020	2020	NUM
ejpam-5545	57	5	,	,	PUNCT
ejpam-5545	57	6	nawar	nawar	ADV
ejpam-5545	57	7	et	et	PROPN
ejpam-5545	57	8	al	al	PROPN
ejpam-5545	57	9	.	.	PUNCT
ejpam-5545	58	1	[	[	X
ejpam-5545	58	2	51	51	NUM
ejpam-5545	58	3	]	]	PUNCT
ejpam-5545	58	4	presented	present	VERB
ejpam-5545	58	5	adhesion	adhesion	NOUN
ejpam-5545	58	6	ȷneighborhoods	ȷneighborhood	NOUN
ejpam-5545	58	7	in	in	ADP
ejpam-5545	58	8	covering	covering	NOUN
ejpam-5545	58	9	-	-	PUNCT
ejpam-5545	58	10	based	base	VERB
ejpam-5545	58	11	rough	rough	ADJ
ejpam-5545	58	12	sets	set	NOUN
ejpam-5545	58	13	,	,	PUNCT
ejpam-5545	58	14	using	use	VERB
ejpam-5545	58	15	the	the	DET
ejpam-5545	58	16	generalized	generalized	ADJ
ejpam-5545	58	17	covering	covering	NOUN
ejpam-5545	58	18	-	-	PUNCT
ejpam-5545	58	19	approximation	approximation	NOUN
ejpam-5545	58	20	space	space	NOUN
ejpam-5545	58	21	defined	define	VERB
ejpam-5545	58	22	by	by	ADP
ejpam-5545	58	23	abd	abd	PROPN
ejpam-5545	58	24	el	el	PROPN
ejpam-5545	58	25	-	-	PROPN
ejpam-5545	58	26	monsef	monsef	PROPN
ejpam-5545	58	27	et	et	PROPN
ejpam-5545	58	28	al	al	PROPN
ejpam-5545	58	29	.	.	PUNCT
ejpam-5545	59	1	[	[	X
ejpam-5545	59	2	41	41	NUM
ejpam-5545	59	3	]	]	PUNCT
ejpam-5545	59	4	.	.	PUNCT
ejpam-5545	60	1	recently	recently	ADV
ejpam-5545	60	2	,	,	PUNCT
ejpam-5545	60	3	in	in	ADP
ejpam-5545	60	4	the	the	DET
ejpam-5545	60	5	research	research	NOUN
ejpam-5545	60	6	by	by	ADP
ejpam-5545	60	7	al	al	PROPN
ejpam-5545	60	8	-	-	PUNCT
ejpam-5545	60	9	shami	shami	PROPN
ejpam-5545	60	10	et	et	PROPN
ejpam-5545	60	11	al	al	PROPN
ejpam-5545	60	12	.	.	PUNCT
ejpam-5545	61	1	[	[	X
ejpam-5545	61	2	15	15	NUM
ejpam-5545	61	3	]	]	PUNCT
ejpam-5545	61	4	,	,	PUNCT
ejpam-5545	61	5	eight	eight	NUM
ejpam-5545	61	6	neighborhoods	neighborhood	NOUN
ejpam-5545	61	7	were	be	AUX
ejpam-5545	61	8	applied	apply	VERB
ejpam-5545	61	9	based	base	VERB
ejpam-5545	61	10	on	on	ADP
ejpam-5545	61	11	a	a	DET
ejpam-5545	61	12	new	new	ADJ
ejpam-5545	61	13	type	type	NOUN
ejpam-5545	61	14	of	of	ADP
ejpam-5545	61	15	neighborhood	neighborhood	NOUN
ejpam-5545	61	16	called	call	VERB
ejpam-5545	61	17	’	'	PUNCT
ejpam-5545	61	18	cardinality	cardinality	PROPN
ejpam-5545	61	19	neighborhoods	neighborhood	NOUN
ejpam-5545	61	20	,	,	PUNCT
ejpam-5545	61	21	’	'	PUNCT
ejpam-5545	61	22	which	which	PRON
ejpam-5545	61	23	proposed	propose	VERB
ejpam-5545	61	24	novel	novel	ADJ
ejpam-5545	61	25	rough	rough	ADJ
ejpam-5545	61	26	sets	set	NOUN
ejpam-5545	61	27	based	base	VERB
ejpam-5545	61	28	on	on	ADP
ejpam-5545	61	29	these	these	DET
ejpam-5545	61	30	neighborhoods	neighborhood	NOUN
ejpam-5545	61	31	.	.	PUNCT
ejpam-5545	62	1	additionally	additionally	ADV
ejpam-5545	62	2	,	,	PUNCT
ejpam-5545	62	3	al	al	PROPN
ejpam-5545	62	4	-	-	PUNCT
ejpam-5545	62	5	shami	shami	PROPN
ejpam-5545	62	6	and	and	CCONJ
ejpam-5545	62	7	mhemdi	mhemdi	PROPN
ejpam-5545	62	8	introduced	introduce	VERB
ejpam-5545	62	9	an	an	DET
ejpam-5545	62	10	interesting	interesting	ADJ
ejpam-5545	62	11	notion	notion	NOUN
ejpam-5545	62	12	called	call	VERB
ejpam-5545	62	13	’	'	PUNCT
ejpam-5545	62	14	overlapping	overlap	VERB
ejpam-5545	62	15	containment	containment	NOUN
ejpam-5545	62	16	rough	rough	ADJ
ejpam-5545	62	17	neighborhoods	neighborhood	NOUN
ejpam-5545	62	18	’	'	PUNCT
ejpam-5545	62	19	in	in	ADP
ejpam-5545	62	20	[	[	X
ejpam-5545	62	21	16	16	NUM
ejpam-5545	62	22	]	]	PUNCT
ejpam-5545	62	23	,	,	PUNCT
ejpam-5545	62	24	using	use	VERB
ejpam-5545	62	25	the	the	DET
ejpam-5545	62	26	concepts	concept	NOUN
ejpam-5545	62	27	of	of	ADP
ejpam-5545	62	28	ȷ	ȷ	NOUN
ejpam-5545	62	29	-	-	PUNCT
ejpam-5545	62	30	ns	ns	ADJ
ejpam-5545	62	31	to	to	PART
ejpam-5545	62	32	provide	provide	VERB
ejpam-5545	62	33	new	new	ADJ
ejpam-5545	62	34	rough	rough	ADJ
ejpam-5545	62	35	sets	set	NOUN
ejpam-5545	62	36	and	and	CCONJ
ejpam-5545	62	37	applications	application	NOUN
ejpam-5545	62	38	in	in	ADP
ejpam-5545	62	39	real	real	ADJ
ejpam-5545	62	40	-	-	PUNCT
ejpam-5545	62	41	life	life	NOUN
ejpam-5545	62	42	problems	problem	NOUN
ejpam-5545	62	43	.	.	PUNCT
ejpam-5545	63	1	consequently	consequently	ADV
ejpam-5545	63	2	,	,	PUNCT
ejpam-5545	63	3	all	all	DET
ejpam-5545	63	4	the	the	DET
ejpam-5545	63	5	results	result	NOUN
ejpam-5545	63	6	and	and	CCONJ
ejpam-5545	63	7	medical	medical	ADJ
ejpam-5545	63	8	applications	application	NOUN
ejpam-5545	63	9	explored	explore	VERB
ejpam-5545	63	10	were	be	AUX
ejpam-5545	63	11	based	base	VERB
ejpam-5545	63	12	on	on	ADP
ejpam-5545	63	13	the	the	DET
ejpam-5545	63	14	original	original	ADJ
ejpam-5545	63	15	findings	finding	NOUN
ejpam-5545	63	16	of	of	ADP
ejpam-5545	63	17	[	[	X
ejpam-5545	63	18	40	40	NUM
ejpam-5545	63	19	]	]	PUNCT
ejpam-5545	63	20	.	.	PUNCT
ejpam-5545	64	1	moreover	moreover	ADV
ejpam-5545	64	2	,	,	PUNCT
ejpam-5545	64	3	many	many	ADJ
ejpam-5545	64	4	researchers	researcher	NOUN
ejpam-5545	64	5	,	,	PUNCT
ejpam-5545	64	6	inspired	inspire	VERB
ejpam-5545	64	7	by	by	ADP
ejpam-5545	64	8	abd	abd	PROPN
ejpam-5545	64	9	el	el	PROPN
ejpam-5545	64	10	-	-	PROPN
ejpam-5545	64	11	monsef	monsef	PROPN
ejpam-5545	64	12	et	et	PROPN
ejpam-5545	64	13	al	al	PROPN
ejpam-5545	64	14	.	.	PROPN
ejpam-5545	64	15	’s	’s	PART
ejpam-5545	64	16	approaches	approach	NOUN
ejpam-5545	64	17	[	[	X
ejpam-5545	64	18	40	40	NUM
ejpam-5545	64	19	]	]	PUNCT
ejpam-5545	64	20	,	,	PUNCT
ejpam-5545	64	21	have	have	AUX
ejpam-5545	64	22	laid	lay	VERB
ejpam-5545	64	23	the	the	DET
ejpam-5545	64	24	groundwork	groundwork	NOUN
ejpam-5545	64	25	for	for	ADP
ejpam-5545	64	26	further	further	ADJ
ejpam-5545	64	27	topological	topological	ADJ
ejpam-5545	64	28	applications	application	NOUN
ejpam-5545	64	29	of	of	ADP
ejpam-5545	64	30	rough	rough	ADJ
ejpam-5545	64	31	sets	set	NOUN
ejpam-5545	64	32	across	across	ADP
ejpam-5545	64	33	diverse	diverse	ADJ
ejpam-5545	64	34	fields	field	NOUN
ejpam-5545	64	35	,	,	PUNCT
ejpam-5545	64	36	including	include	VERB
ejpam-5545	64	37	medicine	medicine	NOUN
ejpam-5545	64	38	[	[	X
ejpam-5545	64	39	28	28	NUM
ejpam-5545	64	40	,	,	PUNCT
ejpam-5545	64	41	37	37	NUM
ejpam-5545	64	42	,	,	PUNCT
ejpam-5545	64	43	45	45	NUM
ejpam-5545	64	44	]	]	PUNCT
ejpam-5545	64	45	and	and	CCONJ
ejpam-5545	64	46	economics	economic	NOUN
ejpam-5545	65	1	[	[	X
ejpam-5545	65	2	34	34	NUM
ejpam-5545	65	3	,	,	PUNCT
ejpam-5545	65	4	36	36	NUM
ejpam-5545	65	5	]	]	PUNCT
ejpam-5545	65	6	.	.	PUNCT
ejpam-5545	66	1	on	on	ADP
ejpam-5545	66	2	the	the	DET
ejpam-5545	66	3	other	other	ADJ
ejpam-5545	66	4	hand	hand	NOUN
ejpam-5545	66	5	,	,	PUNCT
ejpam-5545	66	6	abd	abd	PROPN
ejpam-5545	66	7	el	el	PROPN
ejpam-5545	66	8	-	-	PROPN
ejpam-5545	66	9	monsef	monsef	PROPN
ejpam-5545	66	10	et	et	PROPN
ejpam-5545	66	11	al	al	PROPN
ejpam-5545	66	12	.	.	PUNCT
ejpam-5545	67	1	[	[	X
ejpam-5545	67	2	40	40	NUM
ejpam-5545	67	3	]	]	PUNCT
ejpam-5545	67	4	developed	develop	VERB
ejpam-5545	67	5	a	a	DET
ejpam-5545	67	6	new	new	ADJ
ejpam-5545	67	7	interesting	interesting	ADJ
ejpam-5545	67	8	method	method	NOUN
ejpam-5545	67	9	to	to	PART
ejpam-5545	67	10	generate	generate	VERB
ejpam-5545	67	11	different	different	ADJ
ejpam-5545	67	12	topologies	topology	NOUN
ejpam-5545	67	13	from	from	ADP
ejpam-5545	67	14	neighborhoods	neighborhood	NOUN
ejpam-5545	67	15	—	—	PUNCT
ejpam-5545	67	16	regardless	regardless	ADV
ejpam-5545	67	17	of	of	ADP
ejpam-5545	67	18	their	their	PRON
ejpam-5545	67	19	form	form	NOUN
ejpam-5545	67	20	—	—	PUNCT
ejpam-5545	67	21	directly	directly	ADV
ejpam-5545	67	22	,	,	PUNCT
ejpam-5545	67	23	without	without	ADP
ejpam-5545	67	24	relying	rely	VERB
ejpam-5545	67	25	on	on	ADP
ejpam-5545	67	26	a	a	DET
ejpam-5545	67	27	basis	basis	NOUN
ejpam-5545	67	28	or	or	CCONJ
ejpam-5545	67	29	sub	sub	NOUN
ejpam-5545	67	30	-	-	NOUN
ejpam-5545	67	31	basis	basis	NOUN
ejpam-5545	67	32	.	.	PUNCT
ejpam-5545	68	1	this	this	DET
ejpam-5545	68	2	method	method	NOUN
ejpam-5545	68	3	extended	extend	VERB
ejpam-5545	68	4	the	the	DET
ejpam-5545	68	5	approach	approach	NOUN
ejpam-5545	68	6	of	of	ADP
ejpam-5545	68	7	abo	abo	NOUN
ejpam-5545	68	8	khadra	khadra	NOUN
ejpam-5545	68	9	et	et	PROPN
ejpam-5545	68	10	al	al	PROPN
ejpam-5545	68	11	.	.	PROPN
ejpam-5545	69	1	(	(	PUNCT
ejpam-5545	69	2	2007	2007	NUM
ejpam-5545	69	3	)	)	PUNCT
ejpam-5545	70	1	[	[	X
ejpam-5545	70	2	47	47	NUM
ejpam-5545	70	3	]	]	PUNCT
ejpam-5545	70	4	and	and	CCONJ
ejpam-5545	70	5	abo	abo	NOUN
ejpam-5545	70	6	khadra	khadra	NOUN
ejpam-5545	70	7	and	and	CCONJ
ejpam-5545	70	8	el	el	PROPN
ejpam-5545	70	9	-	-	ADJ
ejpam-5545	70	10	bably	bably	PROPN
ejpam-5545	70	11	(	(	PUNCT
ejpam-5545	70	12	2008	2008	NUM
ejpam-5545	70	13	)	)	PUNCT
ejpam-5545	71	1	[	[	X
ejpam-5545	71	2	46	46	NUM
ejpam-5545	71	3	]	]	PUNCT
ejpam-5545	71	4	.	.	PUNCT
ejpam-5545	72	1	the	the	DET
ejpam-5545	72	2	technique	technique	NOUN
ejpam-5545	72	3	proposed	propose	VERB
ejpam-5545	72	4	by	by	ADP
ejpam-5545	72	5	abd	abd	PROPN
ejpam-5545	72	6	el	el	PROPN
ejpam-5545	72	7	-	-	PROPN
ejpam-5545	72	8	monsef	monsef	PROPN
ejpam-5545	72	9	et	et	PROPN
ejpam-5545	72	10	al	al	PROPN
ejpam-5545	72	11	.	.	PUNCT
ejpam-5545	72	12	states	state	VERB
ejpam-5545	72	13	that	that	SCONJ
ejpam-5545	72	14	the	the	DET
ejpam-5545	72	15	class	class	NOUN
ejpam-5545	72	16	t	t	NOUN
ejpam-5545	72	17	=	=	PUNCT
ejpam-5545	72	18	{	{	PUNCT
ejpam-5545	72	19	i	i	NOUN
ejpam-5545	72	20	⊆	⊆	NUM
ejpam-5545	72	21	s	s	VERB
ejpam-5545	72	22	:	:	PUNCT
ejpam-5545	72	23	℧	℧	PROPN
ejpam-5545	72	24	(	(	PUNCT
ejpam-5545	72	25	s	s	NOUN
ejpam-5545	72	26	)	)	PUNCT
ejpam-5545	72	27	⊆	⊆	NUM
ejpam-5545	72	28	i	i	PROPN
ejpam-5545	72	29	,	,	PUNCT
ejpam-5545	72	30	∀s	∀s	PROPN
ejpam-5545	72	31	∈	∈	PROPN
ejpam-5545	72	32	s	s	PART
ejpam-5545	72	33	}	}	PUNCT
ejpam-5545	72	34	forms	form	VERB
ejpam-5545	72	35	a	a	DET
ejpam-5545	72	36	topology	topology	NOUN
ejpam-5545	72	37	on	on	ADP
ejpam-5545	72	38	s	s	NOUN
ejpam-5545	72	39	,	,	PUNCT
ejpam-5545	72	40	where	where	SCONJ
ejpam-5545	72	41	s	s	NOUN
ejpam-5545	72	42	represents	represent	VERB
ejpam-5545	72	43	the	the	DET
ejpam-5545	72	44	universe	universe	NOUN
ejpam-5545	72	45	and	and	CCONJ
ejpam-5545	72	46	℧	℧	PROPN
ejpam-5545	72	47	(	(	PUNCT
ejpam-5545	72	48	s	s	X
ejpam-5545	72	49	)	)	PUNCT
ejpam-5545	72	50	is	be	AUX
ejpam-5545	72	51	the	the	DET
ejpam-5545	72	52	neighborhood	neighborhood	NOUN
ejpam-5545	72	53	of	of	ADP
ejpam-5545	72	54	s.	s.	PROPN
ejpam-5545	72	55	thus	thus	ADV
ejpam-5545	72	56	,	,	PUNCT
ejpam-5545	72	57	by	by	ADP
ejpam-5545	72	58	identifying	identify	VERB
ejpam-5545	72	59	the	the	DET
ejpam-5545	72	60	neighborhood	neighborhood	NOUN
ejpam-5545	72	61	,	,	PUNCT
ejpam-5545	72	62	we	we	PRON
ejpam-5545	72	63	can	can	AUX
ejpam-5545	72	64	generate	generate	VERB
ejpam-5545	72	65	different	different	ADJ
ejpam-5545	72	66	topologies	topology	NOUN
ejpam-5545	72	67	on	on	ADP
ejpam-5545	72	68	s.	s.	PROPN
ejpam-5545	72	69	this	this	DET
ejpam-5545	72	70	theory	theory	NOUN
ejpam-5545	72	71	of	of	ADP
ejpam-5545	72	72	generating	generate	VERB
ejpam-5545	72	73	topologies	topology	NOUN
ejpam-5545	72	74	from	from	ADP
ejpam-5545	72	75	neighborhoods	neighborhood	NOUN
ejpam-5545	72	76	has	have	AUX
ejpam-5545	72	77	been	be	AUX
ejpam-5545	72	78	widely	widely	ADV
ejpam-5545	72	79	adopted	adopt	VERB
ejpam-5545	72	80	by	by	ADP
ejpam-5545	72	81	researchers	researcher	NOUN
ejpam-5545	72	82	,	,	PUNCT
ejpam-5545	72	83	such	such	ADJ
ejpam-5545	72	84	as	as	ADP
ejpam-5545	72	85	[	[	X
ejpam-5545	72	86	5	5	NUM
ejpam-5545	72	87	,	,	PUNCT
ejpam-5545	72	88	15	15	NUM
ejpam-5545	72	89	,	,	PUNCT
ejpam-5545	72	90	23–25	23–25	NUM
ejpam-5545	72	91	]	]	PUNCT
ejpam-5545	72	92	,	,	PUNCT
ejpam-5545	72	93	to	to	PART
ejpam-5545	72	94	create	create	VERB
ejpam-5545	72	95	various	various	ADJ
ejpam-5545	72	96	topologies	topology	NOUN
ejpam-5545	72	97	using	use	VERB
ejpam-5545	72	98	different	different	ADJ
ejpam-5545	72	99	types	type	NOUN
ejpam-5545	72	100	of	of	ADP
ejpam-5545	72	101	neighborhoods	neighborhood	NOUN
ejpam-5545	72	102	based	base	VERB
ejpam-5545	72	103	on	on	ADP
ejpam-5545	72	104	the	the	DET
ejpam-5545	72	105	eight	eight	NUM
ejpam-5545	72	106	introduced	introduce	VERB
ejpam-5545	72	107	by	by	ADP
ejpam-5545	72	108	abd	abd	PROPN
ejpam-5545	72	109	el	el	PROPN
ejpam-5545	72	110	-	-	PROPN
ejpam-5545	72	111	monsef	monsef	PROPN
ejpam-5545	72	112	et	et	PROPN
ejpam-5545	72	113	al	al	PROPN
ejpam-5545	72	114	.	.	PUNCT
ejpam-5545	73	1	[	[	X
ejpam-5545	73	2	40	40	NUM
ejpam-5545	73	3	]	]	PUNCT
ejpam-5545	73	4	.	.	PUNCT
ejpam-5545	74	1	accordingly	accordingly	ADV
ejpam-5545	74	2	,	,	PUNCT
ejpam-5545	74	3	this	this	DET
ejpam-5545	74	4	technique	technique	NOUN
ejpam-5545	74	5	has	have	AUX
ejpam-5545	74	6	opened	open	VERB
ejpam-5545	74	7	the	the	DET
ejpam-5545	74	8	door	door	NOUN
ejpam-5545	74	9	to	to	ADP
ejpam-5545	74	10	further	further	ADJ
ejpam-5545	74	11	topological	topological	ADJ
ejpam-5545	74	12	applications	application	NOUN
ejpam-5545	74	13	in	in	ADP
ejpam-5545	74	14	the	the	DET
ejpam-5545	74	15	rough	rough	ADJ
ejpam-5545	74	16	set	set	NOUN
ejpam-5545	74	17	context	context	NOUN
ejpam-5545	74	18	.	.	PUNCT
ejpam-5545	75	1	topological	topological	ADJ
ejpam-5545	75	2	structures	structure	NOUN
ejpam-5545	75	3	have	have	AUX
ejpam-5545	75	4	significantly	significantly	ADV
ejpam-5545	75	5	extended	extend	VERB
ejpam-5545	75	6	the	the	DET
ejpam-5545	75	7	scope	scope	NOUN
ejpam-5545	75	8	of	of	ADP
ejpam-5545	75	9	rough	rough	ADJ
ejpam-5545	75	10	set	set	NOUN
ejpam-5545	75	11	theories	theory	NOUN
ejpam-5545	75	12	in	in	ADP
ejpam-5545	75	13	many	many	ADJ
ejpam-5545	75	14	research	research	NOUN
ejpam-5545	75	15	endeavors	endeavor	NOUN
ejpam-5545	75	16	,	,	PUNCT
ejpam-5545	75	17	leading	lead	VERB
ejpam-5545	75	18	to	to	ADP
ejpam-5545	75	19	developments	development	NOUN
ejpam-5545	75	20	such	such	ADJ
ejpam-5545	75	21	as	as	ADP
ejpam-5545	75	22	rough	rough	ADJ
ejpam-5545	75	23	sets	set	NOUN
ejpam-5545	75	24	with	with	ADP
ejpam-5545	75	25	soft	soft	ADJ
ejpam-5545	75	26	sets	set	NOUN
ejpam-5545	75	27	[	[	X
ejpam-5545	75	28	17	17	NUM
ejpam-5545	75	29	,	,	PUNCT
ejpam-5545	75	30	29	29	NUM
ejpam-5545	75	31	,	,	PUNCT
ejpam-5545	75	32	32	32	NUM
ejpam-5545	75	33	,	,	PUNCT
ejpam-5545	75	34	33	33	NUM
ejpam-5545	75	35	]	]	PUNCT
ejpam-5545	75	36	and	and	CCONJ
ejpam-5545	75	37	rough	rough	ADJ
ejpam-5545	75	38	fuzzy	fuzzy	ADJ
ejpam-5545	75	39	sets	set	NOUN
ejpam-5545	75	40	[	[	X
ejpam-5545	75	41	38	38	NUM
ejpam-5545	75	42	,	,	PUNCT
ejpam-5545	75	43	39	39	NUM
ejpam-5545	75	44	]	]	PUNCT
ejpam-5545	75	45	.	.	PUNCT
ejpam-5545	76	1	additional	additional	ADJ
ejpam-5545	76	2	studies	study	NOUN
ejpam-5545	76	3	[	[	X
ejpam-5545	76	4	35	35	NUM
ejpam-5545	76	5	,	,	PUNCT
ejpam-5545	76	6	42	42	NUM
ejpam-5545	76	7	,	,	PUNCT
ejpam-5545	76	8	48	48	NUM
ejpam-5545	76	9	,	,	PUNCT
ejpam-5545	76	10	66	66	NUM
ejpam-5545	76	11	]	]	PUNCT
ejpam-5545	76	12	have	have	AUX
ejpam-5545	76	13	used	use	VERB
ejpam-5545	76	14	topological	topological	ADJ
ejpam-5545	76	15	features	feature	NOUN
ejpam-5545	76	16	to	to	PART
ejpam-5545	76	17	define	define	VERB
ejpam-5545	76	18	rough	rough	ADJ
ejpam-5545	76	19	sets	set	NOUN
ejpam-5545	76	20	across	across	ADP
ejpam-5545	76	21	various	various	ADJ
ejpam-5545	76	22	domains	domain	NOUN
ejpam-5545	76	23	.	.	PUNCT
ejpam-5545	77	1	numerous	numerous	ADJ
ejpam-5545	77	2	research	research	NOUN
ejpam-5545	77	3	avenues	avenue	NOUN
ejpam-5545	77	4	have	have	AUX
ejpam-5545	77	5	incorporated	incorporate	VERB
ejpam-5545	77	6	topological	topological	ADJ
ejpam-5545	77	7	structures	structure	NOUN
ejpam-5545	77	8	into	into	ADP
ejpam-5545	77	9	their	their	PRON
ejpam-5545	77	10	investigations	investigation	NOUN
ejpam-5545	77	11	[	[	X
ejpam-5545	77	12	22	22	NUM
ejpam-5545	77	13	,	,	PUNCT
ejpam-5545	77	14	24	24	NUM
ejpam-5545	77	15	,	,	PUNCT
ejpam-5545	77	16	43	43	NUM
ejpam-5545	77	17	,	,	PUNCT
ejpam-5545	77	18	44	44	NUM
ejpam-5545	77	19	]	]	PUNCT
ejpam-5545	77	20	.	.	PUNCT
ejpam-5545	78	1	m.	m.	PROPN
ejpam-5545	78	2	k.	k.	PROPN
ejpam-5545	79	1	el	el	PROPN
ejpam-5545	79	2	-	-	PROPN
ejpam-5545	79	3	bably	bably	PROPN
ejpam-5545	79	4	et	et	PROPN
ejpam-5545	79	5	al	al	PROPN
ejpam-5545	79	6	.	.	PUNCT
ejpam-5545	79	7	/	/	SYM
ejpam-5545	79	8	eur	eur	PROPN
ejpam-5545	79	9	.	.	PUNCT
ejpam-5545	80	1	j.	j.	PROPN
ejpam-5545	80	2	pure	pure	PROPN
ejpam-5545	80	3	appl	appl	PROPN
ejpam-5545	80	4	.	.	PROPN
ejpam-5545	80	5	math	math	PROPN
ejpam-5545	80	6	,	,	PUNCT
ejpam-5545	80	7	17	17	NUM
ejpam-5545	80	8	(	(	PUNCT
ejpam-5545	80	9	4	4	NUM
ejpam-5545	80	10	)	)	PUNCT
ejpam-5545	80	11	(	(	PUNCT
ejpam-5545	80	12	2024	2024	NUM
ejpam-5545	80	13	)	)	PUNCT
ejpam-5545	80	14	,	,	PUNCT
ejpam-5545	80	15	3743	3743	NUM
ejpam-5545	80	16	-	-	SYM
ejpam-5545	80	17	3771	3771	NUM
ejpam-5545	80	18	3746	3746	NUM
ejpam-5545	80	19	in	in	ADP
ejpam-5545	80	20	2021	2021	NUM
ejpam-5545	80	21	,	,	PUNCT
ejpam-5545	80	22	el	el	PROPN
ejpam-5545	80	23	-	-	PUNCT
ejpam-5545	80	24	sayed	say	VERB
ejpam-5545	80	25	et	et	PROPN
ejpam-5545	80	26	al	al	PROPN
ejpam-5545	80	27	.	.	PROPN
ejpam-5545	80	28	proposed	propose	VERB
ejpam-5545	80	29	for	for	ADP
ejpam-5545	80	30	the	the	DET
ejpam-5545	80	31	first	first	ADJ
ejpam-5545	80	32	time	time	NOUN
ejpam-5545	80	33	the	the	DET
ejpam-5545	80	34	concept	concept	NOUN
ejpam-5545	80	35	of	of	ADP
ejpam-5545	80	36	“	"	PUNCT
ejpam-5545	80	37	initial	initial	ADJ
ejpam-5545	80	38	-	-	PUNCT
ejpam-5545	80	39	neighborhoods	neighborhood	NOUN
ejpam-5545	80	40	”	"	PUNCT
ejpam-5545	80	41	in	in	ADP
ejpam-5545	80	42	the	the	DET
ejpam-5545	80	43	paper	paper	NOUN
ejpam-5545	81	1	[	[	X
ejpam-5545	81	2	34	34	NUM
ejpam-5545	81	3	]	]	PUNCT
ejpam-5545	81	4	,	,	PUNCT
ejpam-5545	81	5	based	base	VERB
ejpam-5545	81	6	on	on	ADP
ejpam-5545	81	7	the	the	DET
ejpam-5545	81	8	concept	concept	NOUN
ejpam-5545	81	9	of	of	ADP
ejpam-5545	81	10	right	right	ADJ
ejpam-5545	81	11	neighborhoods	neighborhood	NOUN
ejpam-5545	81	12	,	,	PUNCT
ejpam-5545	81	13	defined	define	VERB
ejpam-5545	81	14	as	as	SCONJ
ejpam-5545	81	15	follows	follow	VERB
ejpam-5545	81	16	:	:	PUNCT
ejpam-5545	81	17	℧	℧	VERB
ejpam-5545	81	18	i(s	i(s	X
ejpam-5545	81	19	)	)	PUNCT
ejpam-5545	81	20	=	=	PRON
ejpam-5545	82	1	{	{	PUNCT
ejpam-5545	82	2	y	y	PROPN
ejpam-5545	82	3	∈	∈	PROPN
ejpam-5545	82	4	s	s	PART
ejpam-5545	82	5	:	:	PUNCT
ejpam-5545	82	6	℧	℧	PUNCT
ejpam-5545	82	7	r(s	r(s	NUM
ejpam-5545	82	8	)	)	PUNCT
ejpam-5545	82	9	⊆	⊆	NUM
ejpam-5545	82	10	℧	℧	NOUN
ejpam-5545	82	11	r(y	r(y	VERB
ejpam-5545	82	12	)	)	PUNCT
ejpam-5545	82	13	}	}	PUNCT
ejpam-5545	82	14	,	,	PUNCT
ejpam-5545	82	15	where	where	SCONJ
ejpam-5545	82	16	℧	℧	PROPN
ejpam-5545	82	17	r(s	r(s	X
ejpam-5545	82	18	)	)	PUNCT
ejpam-5545	82	19	represents	represent	VERB
ejpam-5545	82	20	the	the	DET
ejpam-5545	82	21	right	right	ADJ
ejpam-5545	82	22	neighborhood	neighborhood	NOUN
ejpam-5545	82	23	of	of	ADP
ejpam-5545	82	24	s.	s.	PROPN
ejpam-5545	82	25	they	they	PRON
ejpam-5545	82	26	explored	explore	VERB
ejpam-5545	82	27	the	the	DET
ejpam-5545	82	28	application	application	NOUN
ejpam-5545	82	29	of	of	ADP
ejpam-5545	82	30	initial	initial	ADJ
ejpam-5545	82	31	-	-	PUNCT
ejpam-5545	82	32	neighborhoods	neighborhood	NOUN
ejpam-5545	82	33	in	in	ADP
ejpam-5545	82	34	rough	rough	ADJ
ejpam-5545	82	35	set	set	NOUN
ejpam-5545	82	36	theory	theory	NOUN
ejpam-5545	82	37	and	and	CCONJ
ejpam-5545	82	38	their	their	PRON
ejpam-5545	82	39	use	use	NOUN
ejpam-5545	82	40	in	in	ADP
ejpam-5545	82	41	addressing	address	VERB
ejpam-5545	82	42	the	the	DET
ejpam-5545	82	43	covid-19	covid-19	PROPN
ejpam-5545	82	44	problem	problem	NOUN
ejpam-5545	82	45	through	through	ADP
ejpam-5545	82	46	generalized	generalized	ADJ
ejpam-5545	82	47	nano	nano	NOUN
ejpam-5545	82	48	-	-	PUNCT
ejpam-5545	82	49	topology	topology	NOUN
ejpam-5545	82	50	.	.	PUNCT
ejpam-5545	83	1	later	later	ADV
ejpam-5545	83	2	in	in	ADP
ejpam-5545	83	3	2022	2022	NUM
ejpam-5545	83	4	,	,	PUNCT
ejpam-5545	83	5	al	al	PROPN
ejpam-5545	83	6	-	-	PUNCT
ejpam-5545	83	7	shami	shami	PROPN
ejpam-5545	83	8	and	and	CCONJ
ejpam-5545	83	9	ciucci	ciucci	VERB
ejpam-5545	83	10	in	in	ADP
ejpam-5545	83	11	[	[	X
ejpam-5545	83	12	12	12	NUM
ejpam-5545	83	13	]	]	PUNCT
ejpam-5545	83	14	introduced	introduce	VERB
ejpam-5545	83	15	the	the	DET
ejpam-5545	83	16	concept	concept	NOUN
ejpam-5545	83	17	of	of	ADP
ejpam-5545	83	18	initial	initial	ADJ
ejpam-5545	83	19	-	-	PUNCT
ejpam-5545	83	20	neighborhoods	neighborhood	NOUN
ejpam-5545	83	21	under	under	ADP
ejpam-5545	83	22	the	the	DET
ejpam-5545	83	23	name	name	NOUN
ejpam-5545	83	24	“	"	PUNCT
ejpam-5545	83	25	subset	subset	ADJ
ejpam-5545	83	26	neighborhoods	neighborhood	NOUN
ejpam-5545	83	27	.	.	PUNCT
ejpam-5545	83	28	”	"	PUNCT
ejpam-5545	84	1	they	they	PRON
ejpam-5545	84	2	applied	apply	VERB
ejpam-5545	84	3	the	the	DET
ejpam-5545	84	4	concept	concept	NOUN
ejpam-5545	84	5	of	of	ADP
ejpam-5545	84	6	ȷ	ȷ	NOUN
ejpam-5545	84	7	-	-	PUNCT
ejpam-5545	84	8	ns	ns	ADJ
ejpam-5545	84	9	to	to	PART
ejpam-5545	84	10	generate	generate	VERB
ejpam-5545	84	11	eight	eight	NUM
ejpam-5545	84	12	different	different	ADJ
ejpam-5545	84	13	neighborhoods	neighborhood	NOUN
ejpam-5545	84	14	of	of	ADP
ejpam-5545	84	15	initialneighborhoods	initialneighborhood	NOUN
ejpam-5545	84	16	and	and	CCONJ
ejpam-5545	84	17	proposed	propose	VERB
ejpam-5545	84	18	different	different	ADJ
ejpam-5545	84	19	rough	rough	ADJ
ejpam-5545	84	20	sets	set	NOUN
ejpam-5545	84	21	without	without	ADP
ejpam-5545	84	22	exploring	explore	VERB
ejpam-5545	84	23	their	their	PRON
ejpam-5545	84	24	topological	topological	ADJ
ejpam-5545	84	25	structures	structure	NOUN
ejpam-5545	84	26	.	.	PUNCT
ejpam-5545	85	1	at	at	ADP
ejpam-5545	85	2	the	the	DET
ejpam-5545	85	3	same	same	ADJ
ejpam-5545	85	4	time	time	NOUN
ejpam-5545	85	5	,	,	PUNCT
ejpam-5545	85	6	as	as	ADP
ejpam-5545	85	7	a	a	DET
ejpam-5545	85	8	dual	dual	ADJ
ejpam-5545	85	9	of	of	ADP
ejpam-5545	85	10	“	"	PUNCT
ejpam-5545	85	11	initial	initial	ADJ
ejpam-5545	85	12	-	-	PUNCT
ejpam-5545	85	13	neighborhoods	neighborhood	NOUN
ejpam-5545	85	14	,	,	PUNCT
ejpam-5545	85	15	”	"	PUNCT
ejpam-5545	85	16	abu	abu	PROPN
ejpam-5545	85	17	-	-	PUNCT
ejpam-5545	85	18	gdairi	gdairi	PROPN
ejpam-5545	85	19	et	et	PROPN
ejpam-5545	85	20	al	al	PROPN
ejpam-5545	85	21	.	.	PUNCT
ejpam-5545	86	1	[	[	X
ejpam-5545	86	2	8	8	NUM
ejpam-5545	86	3	]	]	PUNCT
ejpam-5545	86	4	,	,	PUNCT
ejpam-5545	86	5	in	in	ADP
ejpam-5545	86	6	2021	2021	NUM
ejpam-5545	86	7	,	,	PUNCT
ejpam-5545	86	8	introduced	introduce	VERB
ejpam-5545	86	9	the	the	DET
ejpam-5545	86	10	novel	novel	ADJ
ejpam-5545	86	11	notion	notion	NOUN
ejpam-5545	86	12	of	of	ADP
ejpam-5545	86	13	“	"	PUNCT
ejpam-5545	86	14	basic	basic	ADJ
ejpam-5545	86	15	-	-	PUNCT
ejpam-5545	86	16	neighborhoods	neighborhood	NOUN
ejpam-5545	86	17	”	"	PUNCT
ejpam-5545	86	18	as	as	SCONJ
ejpam-5545	86	19	follows	follow	VERB
ejpam-5545	86	20	:	:	PUNCT
ejpam-5545	86	21	℧	℧	ADP
ejpam-5545	86	22	b(s	b(	NOUN
ejpam-5545	86	23	)	)	PUNCT
ejpam-5545	87	1	=	=	PRON
ejpam-5545	87	2	{	{	PUNCT
ejpam-5545	87	3	y	y	PROPN
ejpam-5545	87	4	∈	∈	PROPN
ejpam-5545	87	5	s	s	PART
ejpam-5545	87	6	:	:	PUNCT
ejpam-5545	87	7	℧	℧	PUNCT
ejpam-5545	87	8	r(y	r(y	VERB
ejpam-5545	87	9	)	)	PUNCT
ejpam-5545	87	10	⊆	⊆	NUM
ejpam-5545	87	11	℧	℧	NOUN
ejpam-5545	87	12	r(s	r(s	NUM
ejpam-5545	87	13	)	)	PUNCT
ejpam-5545	87	14	}	}	PUNCT
ejpam-5545	87	15	.	.	PUNCT
ejpam-5545	88	1	the	the	DET
ejpam-5545	88	2	relationship	relationship	NOUN
ejpam-5545	88	3	between	between	ADP
ejpam-5545	88	4	basic	basic	ADJ
ejpam-5545	88	5	-	-	PUNCT
ejpam-5545	88	6	neighborhoods	neighborhood	NOUN
ejpam-5545	88	7	and	and	CCONJ
ejpam-5545	88	8	initial	initial	ADJ
ejpam-5545	88	9	-	-	PUNCT
ejpam-5545	88	10	neighborhoods	neighborhood	NOUN
ejpam-5545	88	11	was	be	AUX
ejpam-5545	88	12	explained	explain	VERB
ejpam-5545	88	13	in	in	ADP
ejpam-5545	88	14	[	[	X
ejpam-5545	88	15	8	8	NUM
ejpam-5545	88	16	]	]	PUNCT
ejpam-5545	88	17	as	as	SCONJ
ejpam-5545	88	18	follows	follow	VERB
ejpam-5545	88	19	:	:	PUNCT
ejpam-5545	88	20	℧	℧	ADP
ejpam-5545	88	21	b(s	b(	NOUN
ejpam-5545	88	22	)	)	PUNCT
ejpam-5545	88	23	∩	∩	NOUN
ejpam-5545	88	24	℧	℧	NOUN
ejpam-5545	88	25	i(s	i(s	X
ejpam-5545	88	26	)	)	PUNCT
ejpam-5545	88	27	=	=	PUNCT
ejpam-5545	89	1	℧	℧	NOUN
ejpam-5545	89	2	c(s	c(	NOUN
ejpam-5545	89	3	)	)	PUNCT
ejpam-5545	89	4	,	,	PUNCT
ejpam-5545	89	5	where	where	SCONJ
ejpam-5545	89	6	℧	℧	VERB
ejpam-5545	89	7	c(s	c(	NOUN
ejpam-5545	89	8	)	)	PUNCT
ejpam-5545	89	9	is	be	AUX
ejpam-5545	89	10	the	the	DET
ejpam-5545	89	11	core	core	NOUN
ejpam-5545	89	12	-	-	PUNCT
ejpam-5545	89	13	neighborhood	neighborhood	NOUN
ejpam-5545	89	14	of	of	ADP
ejpam-5545	89	15	s	s	NOUN
ejpam-5545	89	16	,	,	PUNCT
ejpam-5545	89	17	as	as	SCONJ
ejpam-5545	89	18	proposed	propose	VERB
ejpam-5545	89	19	in	in	ADP
ejpam-5545	89	20	[	[	X
ejpam-5545	89	21	5	5	NUM
ejpam-5545	89	22	,	,	PUNCT
ejpam-5545	89	23	30	30	NUM
ejpam-5545	89	24	]	]	PUNCT
ejpam-5545	89	25	.	.	PUNCT
ejpam-5545	90	1	it	it	PRON
ejpam-5545	90	2	is	be	AUX
ejpam-5545	90	3	worth	worth	ADJ
ejpam-5545	90	4	noting	note	VERB
ejpam-5545	90	5	that	that	SCONJ
ejpam-5545	90	6	the	the	DET
ejpam-5545	90	7	concept	concept	NOUN
ejpam-5545	90	8	of	of	ADP
ejpam-5545	90	9	“	"	PUNCT
ejpam-5545	90	10	basic	basic	ADJ
ejpam-5545	90	11	-	-	PUNCT
ejpam-5545	90	12	neighborhoods	neighborhood	NOUN
ejpam-5545	90	13	”	"	PUNCT
ejpam-5545	90	14	was	be	AUX
ejpam-5545	90	15	later	later	ADV
ejpam-5545	90	16	referred	refer	VERB
ejpam-5545	90	17	to	to	ADP
ejpam-5545	90	18	as	as	ADP
ejpam-5545	90	19	“	"	PUNCT
ejpam-5545	90	20	containment	containment	NOUN
ejpam-5545	90	21	neighborhoods	neighborhood	NOUN
ejpam-5545	90	22	”	"	PUNCT
ejpam-5545	91	1	[	[	X
ejpam-5545	91	2	10	10	NUM
ejpam-5545	91	3	]	]	PUNCT
ejpam-5545	91	4	in	in	ADP
ejpam-5545	91	5	the	the	DET
ejpam-5545	91	6	same	same	ADJ
ejpam-5545	91	7	year	year	NOUN
ejpam-5545	91	8	(	(	PUNCT
ejpam-5545	91	9	2021	2021	NUM
ejpam-5545	91	10	)	)	PUNCT
ejpam-5545	91	11	.	.	PUNCT
ejpam-5545	92	1	al	al	PROPN
ejpam-5545	92	2	-	-	PUNCT
ejpam-5545	92	3	shami	shami	PROPN
ejpam-5545	93	1	[	[	X
ejpam-5545	93	2	10	10	NUM
ejpam-5545	93	3	]	]	PUNCT
ejpam-5545	93	4	applied	apply	VERB
ejpam-5545	93	5	the	the	DET
ejpam-5545	93	6	concept	concept	NOUN
ejpam-5545	93	7	of	of	ADP
ejpam-5545	93	8	ȷ	ȷ	NOUN
ejpam-5545	93	9	-	-	PUNCT
ejpam-5545	93	10	ns	ns	ADJ
ejpam-5545	93	11	to	to	PART
ejpam-5545	93	12	generate	generate	VERB
ejpam-5545	93	13	various	various	ADJ
ejpam-5545	93	14	types	type	NOUN
ejpam-5545	93	15	of	of	ADP
ejpam-5545	93	16	approximations	approximation	NOUN
ejpam-5545	93	17	without	without	ADP
ejpam-5545	93	18	a	a	DET
ejpam-5545	93	19	detailed	detailed	ADJ
ejpam-5545	93	20	exploration	exploration	NOUN
ejpam-5545	93	21	of	of	ADP
ejpam-5545	93	22	the	the	DET
ejpam-5545	93	23	associated	associated	ADJ
ejpam-5545	93	24	topological	topological	ADJ
ejpam-5545	93	25	properties	property	NOUN
ejpam-5545	93	26	or	or	CCONJ
ejpam-5545	93	27	methods	method	NOUN
ejpam-5545	93	28	for	for	ADP
ejpam-5545	93	29	generating	generate	VERB
ejpam-5545	93	30	corresponding	correspond	VERB
ejpam-5545	93	31	topologies	topology	NOUN
ejpam-5545	93	32	.	.	PUNCT
ejpam-5545	94	1	in	in	ADP
ejpam-5545	94	2	contrast	contrast	NOUN
ejpam-5545	94	3	,	,	PUNCT
ejpam-5545	94	4	the	the	DET
ejpam-5545	94	5	studies	study	NOUN
ejpam-5545	94	6	by	by	ADP
ejpam-5545	94	7	el	el	PROPN
ejpam-5545	94	8	-	-	PROPN
ejpam-5545	94	9	gayar	gayar	NOUN
ejpam-5545	94	10	et	et	PROPN
ejpam-5545	94	11	al	al	PROPN
ejpam-5545	94	12	.	.	PUNCT
ejpam-5545	95	1	[	[	X
ejpam-5545	95	2	36	36	NUM
ejpam-5545	95	3	]	]	PUNCT
ejpam-5545	95	4	and	and	CCONJ
ejpam-5545	95	5	taher	taher	PROPN
ejpam-5545	95	6	et	et	PROPN
ejpam-5545	95	7	al	al	PROPN
ejpam-5545	95	8	.	.	PUNCT
ejpam-5545	96	1	[	[	X
ejpam-5545	96	2	63	63	NUM
ejpam-5545	96	3	]	]	PUNCT
ejpam-5545	96	4	provide	provide	VERB
ejpam-5545	96	5	a	a	DET
ejpam-5545	96	6	more	more	ADV
ejpam-5545	96	7	comprehensive	comprehensive	ADJ
ejpam-5545	96	8	analysis	analysis	NOUN
ejpam-5545	96	9	,	,	PUNCT
ejpam-5545	96	10	investigating	investigate	VERB
ejpam-5545	96	11	the	the	DET
ejpam-5545	96	12	relationships	relationship	NOUN
ejpam-5545	96	13	between	between	ADP
ejpam-5545	96	14	the	the	DET
ejpam-5545	96	15	generated	generate	VERB
ejpam-5545	96	16	topologies	topology	NOUN
ejpam-5545	96	17	and	and	CCONJ
ejpam-5545	96	18	approximations	approximation	NOUN
ejpam-5545	96	19	in	in	ADP
ejpam-5545	96	20	detail	detail	NOUN
ejpam-5545	96	21	.	.	PUNCT
ejpam-5545	97	1	these	these	DET
ejpam-5545	97	2	studies	study	NOUN
ejpam-5545	97	3	present	present	VERB
ejpam-5545	97	4	new	new	ADJ
ejpam-5545	97	5	findings	finding	NOUN
ejpam-5545	97	6	,	,	PUNCT
ejpam-5545	97	7	comparing	compare	VERB
ejpam-5545	97	8	their	their	PRON
ejpam-5545	97	9	methods	method	NOUN
ejpam-5545	97	10	with	with	ADP
ejpam-5545	97	11	earlier	early	ADJ
ejpam-5545	97	12	techniques	technique	NOUN
ejpam-5545	97	13	and	and	CCONJ
ejpam-5545	97	14	demonstrating	demonstrate	VERB
ejpam-5545	97	15	notable	notable	ADJ
ejpam-5545	97	16	applications	application	NOUN
ejpam-5545	97	17	of	of	ADP
ejpam-5545	97	18	these	these	DET
ejpam-5545	97	19	approximations	approximation	NOUN
ejpam-5545	97	20	in	in	ADP
ejpam-5545	97	21	various	various	ADJ
ejpam-5545	97	22	decision	decision	NOUN
ejpam-5545	97	23	-	-	PUNCT
ejpam-5545	97	24	making	make	VERB
ejpam-5545	97	25	contexts	context	NOUN
ejpam-5545	97	26	,	,	PUNCT
ejpam-5545	97	27	particularly	particularly	ADV
ejpam-5545	97	28	in	in	ADP
ejpam-5545	97	29	the	the	DET
ejpam-5545	97	30	medical	medical	ADJ
ejpam-5545	97	31	domain	domain	NOUN
ejpam-5545	97	32	.	.	PUNCT
ejpam-5545	98	1	therefore	therefore	ADV
ejpam-5545	98	2	,	,	PUNCT
ejpam-5545	98	3	the	the	DET
ejpam-5545	98	4	basic	basic	ADJ
ejpam-5545	98	5	goal	goal	NOUN
ejpam-5545	98	6	of	of	ADP
ejpam-5545	98	7	the	the	DET
ejpam-5545	98	8	present	present	ADJ
ejpam-5545	98	9	manuscript	manuscript	NOUN
ejpam-5545	98	10	is	be	AUX
ejpam-5545	98	11	to	to	PART
ejpam-5545	98	12	present	present	VERB
ejpam-5545	98	13	novel	novel	ADJ
ejpam-5545	98	14	approaches	approach	NOUN
ejpam-5545	98	15	based	base	VERB
ejpam-5545	98	16	on	on	ADP
ejpam-5545	98	17	topological	topological	ADJ
ejpam-5545	98	18	constructions	construction	NOUN
ejpam-5545	98	19	,	,	PUNCT
ejpam-5545	98	20	specifically	specifically	ADV
ejpam-5545	98	21	β	β	X
ejpam-5545	98	22	-	-	ADJ
ejpam-5545	98	23	open	open	ADJ
ejpam-5545	98	24	notions	notion	NOUN
ejpam-5545	98	25	,	,	PUNCT
ejpam-5545	98	26	which	which	PRON
ejpam-5545	98	27	enhance	enhance	VERB
ejpam-5545	98	28	the	the	DET
ejpam-5545	98	29	granulation	granulation	NOUN
ejpam-5545	98	30	of	of	ADP
ejpam-5545	98	31	rough	rough	ADJ
ejpam-5545	98	32	sets	set	NOUN
ejpam-5545	98	33	to	to	PART
ejpam-5545	98	34	support	support	VERB
ejpam-5545	98	35	accurate	accurate	ADJ
ejpam-5545	98	36	medicinal	medicinal	ADJ
ejpam-5545	98	37	analysis	analysis	NOUN
ejpam-5545	98	38	of	of	ADP
ejpam-5545	98	39	covid-19	covid-19	PROPN
ejpam-5545	98	40	variants	variant	NOUN
ejpam-5545	98	41	.	.	PUNCT
ejpam-5545	99	1	based	base	VERB
ejpam-5545	99	2	on	on	ADP
ejpam-5545	99	3	prior	prior	ADJ
ejpam-5545	99	4	research	research	NOUN
ejpam-5545	99	5	[	[	X
ejpam-5545	99	6	8	8	NUM
ejpam-5545	99	7	,	,	PUNCT
ejpam-5545	99	8	36	36	NUM
ejpam-5545	99	9	,	,	PUNCT
ejpam-5545	99	10	63	63	NUM
ejpam-5545	99	11	]	]	PUNCT
ejpam-5545	99	12	,	,	PUNCT
ejpam-5545	99	13	the	the	DET
ejpam-5545	99	14	technique	technique	NOUN
ejpam-5545	99	15	of	of	ADP
ejpam-5545	99	16	basic	basic	ADJ
ejpam-5545	99	17	rough	rough	ADJ
ejpam-5545	99	18	sets	set	NOUN
ejpam-5545	99	19	is	be	AUX
ejpam-5545	99	20	extended	extend	VERB
ejpam-5545	99	21	to	to	ADP
ejpam-5545	99	22	β	β	NOUN
ejpam-5545	99	23	-	-	ADJ
ejpam-5545	99	24	basic	basic	ADJ
ejpam-5545	99	25	rough	rough	ADJ
ejpam-5545	99	26	sets	set	NOUN
ejpam-5545	99	27	(	(	PUNCT
ejpam-5545	99	28	briefly	briefly	ADV
ejpam-5545	99	29	,	,	PUNCT
ejpam-5545	99	30	βb	βb	ADJ
ejpam-5545	99	31	-	-	PUNCT
ejpam-5545	99	32	rough	rough	ADJ
ejpam-5545	99	33	sets	set	NOUN
ejpam-5545	99	34	)	)	PUNCT
ejpam-5545	99	35	to	to	PART
ejpam-5545	99	36	develop	develop	VERB
ejpam-5545	99	37	more	more	ADV
ejpam-5545	99	38	precise	precise	ADJ
ejpam-5545	99	39	practices	practice	NOUN
ejpam-5545	99	40	.	.	PUNCT
ejpam-5545	100	1	the	the	DET
ejpam-5545	100	2	proposed	propose	VERB
ejpam-5545	100	3	contributions	contribution	NOUN
ejpam-5545	100	4	introduce	introduce	VERB
ejpam-5545	100	5	a	a	DET
ejpam-5545	100	6	novel	novel	ADJ
ejpam-5545	100	7	approach	approach	NOUN
ejpam-5545	100	8	for	for	ADP
ejpam-5545	100	9	constructing	construct	VERB
ejpam-5545	100	10	topological	topological	ADJ
ejpam-5545	100	11	rough	rough	ADJ
ejpam-5545	100	12	sets	set	NOUN
ejpam-5545	100	13	(	(	PUNCT
ejpam-5545	100	14	βb	βb	ADJ
ejpam-5545	100	15	-	-	PUNCT
ejpam-5545	100	16	rough	rough	ADJ
ejpam-5545	100	17	sets	set	NOUN
ejpam-5545	100	18	)	)	PUNCT
ejpam-5545	100	19	that	that	PRON
ejpam-5545	100	20	do	do	AUX
ejpam-5545	100	21	not	not	PART
ejpam-5545	100	22	rely	rely	VERB
ejpam-5545	100	23	on	on	ADP
ejpam-5545	100	24	the	the	DET
ejpam-5545	100	25	induced	induced	ADJ
ejpam-5545	100	26	topologies	topology	NOUN
ejpam-5545	100	27	.	.	PUNCT
ejpam-5545	101	1	this	this	DET
ejpam-5545	101	2	method	method	NOUN
ejpam-5545	101	3	allows	allow	VERB
ejpam-5545	101	4	the	the	DET
ejpam-5545	101	5	direct	direct	ADJ
ejpam-5545	101	6	creation	creation	NOUN
ejpam-5545	101	7	of	of	ADP
ejpam-5545	101	8	diverse	diverse	ADJ
ejpam-5545	101	9	extended	extended	ADJ
ejpam-5545	101	10	approximations	approximation	NOUN
ejpam-5545	101	11	derived	derive	VERB
ejpam-5545	101	12	from	from	ADP
ejpam-5545	101	13	a	a	DET
ejpam-5545	101	14	general	general	ADJ
ejpam-5545	101	15	relation	relation	NOUN
ejpam-5545	101	16	.	.	PUNCT
ejpam-5545	102	1	comparative	comparative	ADJ
ejpam-5545	102	2	analyses	analysis	NOUN
ejpam-5545	102	3	demonstrate	demonstrate	VERB
ejpam-5545	102	4	that	that	SCONJ
ejpam-5545	102	5	βb	βb	ADJ
ejpam-5545	102	6	-	-	PUNCT
ejpam-5545	102	7	approximations	approximation	NOUN
ejpam-5545	102	8	achieve	achieve	VERB
ejpam-5545	102	9	higher	high	ADJ
ejpam-5545	102	10	accuracy	accuracy	NOUN
ejpam-5545	102	11	compared	compare	VERB
ejpam-5545	102	12	to	to	ADP
ejpam-5545	102	13	previous	previous	ADJ
ejpam-5545	102	14	methods	method	NOUN
ejpam-5545	102	15	.	.	PUNCT
ejpam-5545	103	1	the	the	DET
ejpam-5545	103	2	global	global	ADJ
ejpam-5545	103	3	covid-19	covid-19	PROPN
ejpam-5545	103	4	pandemic	pandemic	NOUN
ejpam-5545	103	5	has	have	AUX
ejpam-5545	103	6	severely	severely	ADV
ejpam-5545	103	7	disrupted	disrupt	VERB
ejpam-5545	103	8	daily	daily	ADJ
ejpam-5545	103	9	life	life	NOUN
ejpam-5545	103	10	[	[	X
ejpam-5545	103	11	6	6	NUM
ejpam-5545	103	12	,	,	PUNCT
ejpam-5545	103	13	56	56	NUM
ejpam-5545	103	14	,	,	PUNCT
ejpam-5545	103	15	57	57	NUM
ejpam-5545	103	16	,	,	PUNCT
ejpam-5545	103	17	64	64	NUM
ejpam-5545	103	18	]	]	PUNCT
ejpam-5545	103	19	,	,	PUNCT
ejpam-5545	103	20	with	with	ADP
ejpam-5545	103	21	increasing	increase	VERB
ejpam-5545	103	22	numbers	number	NOUN
ejpam-5545	103	23	of	of	ADP
ejpam-5545	103	24	severe	severe	ADJ
ejpam-5545	103	25	cases	case	NOUN
ejpam-5545	103	26	and	and	CCONJ
ejpam-5545	103	27	deaths	death	NOUN
ejpam-5545	103	28	affecting	affect	VERB
ejpam-5545	103	29	individuals	individual	NOUN
ejpam-5545	103	30	’	'	PUNCT
ejpam-5545	103	31	mental	mental	ADJ
ejpam-5545	103	32	health	health	NOUN
ejpam-5545	103	33	.	.	PUNCT
ejpam-5545	104	1	the	the	DET
ejpam-5545	104	2	m.	m.	NOUN
ejpam-5545	104	3	k.	k.	PROPN
ejpam-5545	105	1	el	el	PROPN
ejpam-5545	105	2	-	-	PROPN
ejpam-5545	105	3	bably	bably	PROPN
ejpam-5545	105	4	et	et	PROPN
ejpam-5545	105	5	al	al	PROPN
ejpam-5545	105	6	.	.	PUNCT
ejpam-5545	105	7	/	/	SYM
ejpam-5545	105	8	eur	eur	PROPN
ejpam-5545	105	9	.	.	PUNCT
ejpam-5545	106	1	j.	j.	PROPN
ejpam-5545	106	2	pure	pure	PROPN
ejpam-5545	106	3	appl	appl	PROPN
ejpam-5545	106	4	.	.	PROPN
ejpam-5545	106	5	math	math	PROPN
ejpam-5545	106	6	,	,	PUNCT
ejpam-5545	106	7	17	17	NUM
ejpam-5545	106	8	(	(	PUNCT
ejpam-5545	106	9	4	4	NUM
ejpam-5545	106	10	)	)	PUNCT
ejpam-5545	106	11	(	(	PUNCT
ejpam-5545	106	12	2024	2024	NUM
ejpam-5545	106	13	)	)	PUNCT
ejpam-5545	106	14	,	,	PUNCT
ejpam-5545	106	15	3743	3743	NUM
ejpam-5545	106	16	-	-	SYM
ejpam-5545	106	17	3771	3771	NUM
ejpam-5545	106	18	3747	3747	NUM
ejpam-5545	106	19	rapid	rapid	ADJ
ejpam-5545	106	20	transmission	transmission	NOUN
ejpam-5545	106	21	,	,	PUNCT
ejpam-5545	106	22	severe	severe	ADJ
ejpam-5545	106	23	infection	infection	NOUN
ejpam-5545	106	24	rates	rate	NOUN
ejpam-5545	106	25	,	,	PUNCT
ejpam-5545	106	26	and	and	CCONJ
ejpam-5545	106	27	mortalities	mortality	NOUN
ejpam-5545	106	28	associated	associate	VERB
ejpam-5545	106	29	with	with	ADP
ejpam-5545	106	30	numerous	numerous	ADJ
ejpam-5545	106	31	variants	variant	NOUN
ejpam-5545	106	32	of	of	ADP
ejpam-5545	106	33	concern	concern	NOUN
ejpam-5545	106	34	,	,	PUNCT
ejpam-5545	106	35	including	include	VERB
ejpam-5545	106	36	the	the	DET
ejpam-5545	106	37	alpha	alpha	NOUN
ejpam-5545	106	38	,	,	PUNCT
ejpam-5545	106	39	beta	beta	NOUN
ejpam-5545	106	40	,	,	PUNCT
ejpam-5545	106	41	gamma	gamma	NOUN
ejpam-5545	106	42	,	,	PUNCT
ejpam-5545	106	43	delta	delta	NOUN
ejpam-5545	106	44	,	,	PUNCT
ejpam-5545	106	45	and	and	CCONJ
ejpam-5545	106	46	omicron	omicron	PROPN
ejpam-5545	106	47	variants	variant	NOUN
ejpam-5545	106	48	,	,	PUNCT
ejpam-5545	106	49	present	present	ADJ
ejpam-5545	106	50	substantial	substantial	ADJ
ejpam-5545	106	51	challenges	challenge	NOUN
ejpam-5545	106	52	to	to	ADP
ejpam-5545	106	53	healthcare	healthcare	NOUN
ejpam-5545	106	54	systems	system	NOUN
ejpam-5545	106	55	.	.	PUNCT
ejpam-5545	107	1	the	the	DET
ejpam-5545	107	2	likelihood	likelihood	NOUN
ejpam-5545	107	3	and	and	CCONJ
ejpam-5545	107	4	potential	potential	ADJ
ejpam-5545	107	5	mutations	mutation	NOUN
ejpam-5545	107	6	of	of	ADP
ejpam-5545	107	7	these	these	DET
ejpam-5545	107	8	variants	variant	NOUN
ejpam-5545	107	9	create	create	VERB
ejpam-5545	107	10	significant	significant	ADJ
ejpam-5545	107	11	hurdles	hurdle	NOUN
ejpam-5545	107	12	for	for	ADP
ejpam-5545	107	13	healthcare	healthcare	NOUN
ejpam-5545	107	14	management	management	NOUN
ejpam-5545	107	15	.	.	PUNCT
ejpam-5545	108	1	as	as	SCONJ
ejpam-5545	108	2	the	the	DET
ejpam-5545	108	3	virus	virus	NOUN
ejpam-5545	108	4	is	be	AUX
ejpam-5545	108	5	expected	expect	VERB
ejpam-5545	108	6	to	to	PART
ejpam-5545	108	7	become	become	VERB
ejpam-5545	108	8	endemic	endemic	ADJ
ejpam-5545	108	9	,	,	PUNCT
ejpam-5545	108	10	there	there	PRON
ejpam-5545	108	11	is	be	VERB
ejpam-5545	108	12	a	a	DET
ejpam-5545	108	13	continuous	continuous	ADJ
ejpam-5545	108	14	need	need	NOUN
ejpam-5545	108	15	to	to	PART
ejpam-5545	108	16	improve	improve	VERB
ejpam-5545	108	17	methods	method	NOUN
ejpam-5545	108	18	for	for	ADP
ejpam-5545	108	19	anticipating	anticipate	VERB
ejpam-5545	108	20	and	and	CCONJ
ejpam-5545	108	21	diagnosing	diagnose	VERB
ejpam-5545	108	22	covid-19	covid-19	PROPN
ejpam-5545	108	23	variants	variant	NOUN
ejpam-5545	108	24	.	.	PUNCT
ejpam-5545	109	1	consequently	consequently	ADV
ejpam-5545	109	2	,	,	PUNCT
ejpam-5545	109	3	accurately	accurately	ADV
ejpam-5545	109	4	diagnosing	diagnose	VERB
ejpam-5545	109	5	covid-19	covid-19	PROPN
ejpam-5545	109	6	variants	variant	NOUN
ejpam-5545	109	7	is	be	AUX
ejpam-5545	109	8	vital	vital	ADJ
ejpam-5545	109	9	for	for	ADP
ejpam-5545	109	10	determining	determine	VERB
ejpam-5545	109	11	appropriate	appropriate	ADJ
ejpam-5545	109	12	actions	action	NOUN
ejpam-5545	109	13	and	and	CCONJ
ejpam-5545	109	14	preventative	preventative	ADJ
ejpam-5545	109	15	measures	measure	NOUN
ejpam-5545	109	16	.	.	PUNCT
ejpam-5545	110	1	in	in	ADP
ejpam-5545	110	2	conclusion	conclusion	NOUN
ejpam-5545	110	3	,	,	PUNCT
ejpam-5545	110	4	we	we	PRON
ejpam-5545	110	5	employ	employ	VERB
ejpam-5545	110	6	these	these	DET
ejpam-5545	110	7	methods	method	NOUN
ejpam-5545	110	8	to	to	PART
ejpam-5545	110	9	develop	develop	VERB
ejpam-5545	110	10	a	a	DET
ejpam-5545	110	11	robust	robust	ADJ
ejpam-5545	110	12	knowledge	knowledge	NOUN
ejpam-5545	110	13	base	base	NOUN
ejpam-5545	110	14	for	for	ADP
ejpam-5545	110	15	categorizing	categorize	VERB
ejpam-5545	110	16	and	and	CCONJ
ejpam-5545	110	17	forecasting	forecast	VERB
ejpam-5545	110	18	covid-19	covid-19	PROPN
ejpam-5545	110	19	variants	variant	NOUN
ejpam-5545	110	20	,	,	PUNCT
ejpam-5545	110	21	offering	offer	VERB
ejpam-5545	110	22	effective	effective	ADJ
ejpam-5545	110	23	tools	tool	NOUN
ejpam-5545	110	24	for	for	ADP
ejpam-5545	110	25	decision	decision	NOUN
ejpam-5545	110	26	-	-	PUNCT
ejpam-5545	110	27	making	making	NOUN
ejpam-5545	110	28	in	in	ADP
ejpam-5545	110	29	healthcare	healthcare	NOUN
ejpam-5545	110	30	while	while	SCONJ
ejpam-5545	110	31	saving	save	VERB
ejpam-5545	110	32	valuable	valuable	ADJ
ejpam-5545	110	33	resources	resource	NOUN
ejpam-5545	110	34	and	and	CCONJ
ejpam-5545	110	35	time	time	NOUN
ejpam-5545	110	36	.	.	PUNCT
ejpam-5545	111	1	by	by	ADP
ejpam-5545	111	2	applying	apply	VERB
ejpam-5545	111	3	the	the	DET
ejpam-5545	111	4	proposed	propose	VERB
ejpam-5545	111	5	techniques	technique	NOUN
ejpam-5545	111	6	to	to	ADP
ejpam-5545	111	7	real	real	ADJ
ejpam-5545	111	8	-	-	PUNCT
ejpam-5545	111	9	world	world	NOUN
ejpam-5545	111	10	data	datum	NOUN
ejpam-5545	111	11	,	,	PUNCT
ejpam-5545	111	12	we	we	PRON
ejpam-5545	111	13	assess	assess	VERB
ejpam-5545	111	14	their	their	PRON
ejpam-5545	111	15	efficiency	efficiency	NOUN
ejpam-5545	111	16	in	in	ADP
ejpam-5545	111	17	accurately	accurately	ADV
ejpam-5545	111	18	identifying	identify	VERB
ejpam-5545	111	19	covid-19	covid-19	PROPN
ejpam-5545	111	20	variants	variant	NOUN
ejpam-5545	111	21	and	and	CCONJ
ejpam-5545	111	22	determining	determine	VERB
ejpam-5545	111	23	clinically	clinically	ADV
ejpam-5545	111	24	significant	significant	ADJ
ejpam-5545	111	25	outcomes	outcome	NOUN
ejpam-5545	111	26	.	.	PUNCT
ejpam-5545	112	1	our	our	PRON
ejpam-5545	112	2	approach	approach	NOUN
ejpam-5545	112	3	represents	represent	VERB
ejpam-5545	112	4	a	a	DET
ejpam-5545	112	5	mathematical	mathematical	ADJ
ejpam-5545	112	6	advancement	advancement	NOUN
ejpam-5545	112	7	in	in	ADP
ejpam-5545	112	8	improving	improve	VERB
ejpam-5545	112	9	decision	decision	NOUN
ejpam-5545	112	10	accuracy	accuracy	NOUN
ejpam-5545	112	11	and	and	CCONJ
ejpam-5545	112	12	revealing	reveal	VERB
ejpam-5545	112	13	hidden	hidden	ADJ
ejpam-5545	112	14	patterns	pattern	NOUN
ejpam-5545	112	15	in	in	ADP
ejpam-5545	112	16	the	the	DET
ejpam-5545	112	17	data	datum	NOUN
ejpam-5545	112	18	,	,	PUNCT
ejpam-5545	112	19	thereby	thereby	ADV
ejpam-5545	112	20	contributing	contribute	VERB
ejpam-5545	112	21	to	to	ADP
ejpam-5545	112	22	ongoing	ongoing	ADJ
ejpam-5545	112	23	efforts	effort	NOUN
ejpam-5545	112	24	to	to	PART
ejpam-5545	112	25	tackle	tackle	VERB
ejpam-5545	112	26	the	the	DET
ejpam-5545	112	27	challenges	challenge	NOUN
ejpam-5545	112	28	posed	pose	VERB
ejpam-5545	112	29	by	by	ADP
ejpam-5545	112	30	emerging	emerge	VERB
ejpam-5545	112	31	covid19	covid19	NOUN
ejpam-5545	112	32	variants	variant	NOUN
ejpam-5545	112	33	.	.	PUNCT
ejpam-5545	113	1	the	the	DET
ejpam-5545	113	2	central	central	ADJ
ejpam-5545	113	3	contributions	contribution	NOUN
ejpam-5545	113	4	and	and	CCONJ
ejpam-5545	113	5	objectives	objective	NOUN
ejpam-5545	113	6	of	of	ADP
ejpam-5545	113	7	the	the	DET
ejpam-5545	113	8	paper	paper	NOUN
ejpam-5545	113	9	are	be	AUX
ejpam-5545	113	10	summarized	summarize	VERB
ejpam-5545	113	11	below	below	ADP
ejpam-5545	113	12	:	:	PUNCT
ejpam-5545	113	13	1	1	X
ejpam-5545	113	14	.	.	X
ejpam-5545	113	15	methodology	methodology	NOUN
ejpam-5545	113	16	proposal	proposal	NOUN
ejpam-5545	113	17	:	:	PUNCT
ejpam-5545	113	18	we	we	PRON
ejpam-5545	113	19	introduce	introduce	VERB
ejpam-5545	113	20	an	an	DET
ejpam-5545	113	21	essential	essential	ADJ
ejpam-5545	113	22	methodology	methodology	NOUN
ejpam-5545	113	23	for	for	ADP
ejpam-5545	113	24	creating	create	VERB
ejpam-5545	113	25	topological	topological	ADJ
ejpam-5545	113	26	basic	basic	ADJ
ejpam-5545	113	27	rough	rough	ADJ
ejpam-5545	113	28	sets	set	NOUN
ejpam-5545	113	29	(	(	PUNCT
ejpam-5545	113	30	termed	term	VERB
ejpam-5545	113	31	βb	βb	ADJ
ejpam-5545	113	32	-	-	PUNCT
ejpam-5545	113	33	rough	rough	ADJ
ejpam-5545	113	34	sets	set	NOUN
ejpam-5545	113	35	)	)	PUNCT
ejpam-5545	113	36	that	that	PRON
ejpam-5545	113	37	eliminates	eliminate	VERB
ejpam-5545	113	38	the	the	DET
ejpam-5545	113	39	need	need	NOUN
ejpam-5545	113	40	for	for	ADP
ejpam-5545	113	41	induced	induced	ADJ
ejpam-5545	113	42	topology	topology	NOUN
ejpam-5545	113	43	.	.	PUNCT
ejpam-5545	114	1	this	this	DET
ejpam-5545	114	2	approach	approach	NOUN
ejpam-5545	114	3	allows	allow	VERB
ejpam-5545	114	4	for	for	ADP
ejpam-5545	114	5	the	the	DET
ejpam-5545	114	6	direct	direct	ADJ
ejpam-5545	114	7	creation	creation	NOUN
ejpam-5545	114	8	of	of	ADP
ejpam-5545	114	9	various	various	ADJ
ejpam-5545	114	10	rough	rough	ADJ
ejpam-5545	114	11	sets	set	NOUN
ejpam-5545	114	12	through	through	ADP
ejpam-5545	114	13	binary	binary	ADJ
ejpam-5545	114	14	relations	relation	NOUN
ejpam-5545	114	15	.	.	PUNCT
ejpam-5545	115	1	the	the	DET
ejpam-5545	115	2	innovative	innovative	ADJ
ejpam-5545	115	3	idea	idea	NOUN
ejpam-5545	115	4	of	of	ADP
ejpam-5545	115	5	βb	βb	ADJ
ejpam-5545	115	6	-	-	PUNCT
ejpam-5545	115	7	rough	rough	ADJ
ejpam-5545	115	8	sets	set	NOUN
ejpam-5545	115	9	demonstrates	demonstrate	VERB
ejpam-5545	115	10	higher	high	ADJ
ejpam-5545	115	11	accuracy	accuracy	NOUN
ejpam-5545	115	12	compared	compare	VERB
ejpam-5545	115	13	to	to	ADP
ejpam-5545	115	14	previous	previous	ADJ
ejpam-5545	115	15	methods	method	NOUN
ejpam-5545	115	16	,	,	PUNCT
ejpam-5545	115	17	as	as	SCONJ
ejpam-5545	115	18	evidenced	evidence	VERB
ejpam-5545	115	19	by	by	ADP
ejpam-5545	115	20	extensive	extensive	ADJ
ejpam-5545	115	21	comparisons	comparison	NOUN
ejpam-5545	115	22	and	and	CCONJ
ejpam-5545	115	23	counterexamples	counterexample	NOUN
ejpam-5545	115	24	.	.	PUNCT
ejpam-5545	116	1	2	2	X
ejpam-5545	116	2	.	.	X
ejpam-5545	116	3	a	a	DET
ejpam-5545	116	4	sorting	sort	VERB
ejpam-5545	116	5	system	system	NOUN
ejpam-5545	116	6	based	base	VERB
ejpam-5545	116	7	on	on	ADP
ejpam-5545	116	8	rules	rule	NOUN
ejpam-5545	116	9	for	for	ADP
ejpam-5545	116	10	covid-19	covid-19	PROPN
ejpam-5545	116	11	variants	variant	NOUN
ejpam-5545	116	12	:	:	PUNCT
ejpam-5545	116	13	using	use	VERB
ejpam-5545	116	14	this	this	DET
ejpam-5545	116	15	approach	approach	NOUN
ejpam-5545	116	16	,	,	PUNCT
ejpam-5545	116	17	we	we	PRON
ejpam-5545	116	18	establish	establish	VERB
ejpam-5545	116	19	a	a	DET
ejpam-5545	116	20	crucial	crucial	ADJ
ejpam-5545	116	21	rule	rule	NOUN
ejpam-5545	116	22	-	-	PUNCT
ejpam-5545	116	23	based	base	VERB
ejpam-5545	116	24	classification	classification	NOUN
ejpam-5545	116	25	method	method	NOUN
ejpam-5545	116	26	for	for	ADP
ejpam-5545	116	27	accurately	accurately	ADV
ejpam-5545	116	28	identifying	identify	VERB
ejpam-5545	116	29	and	and	CCONJ
ejpam-5545	116	30	predicting	predict	VERB
ejpam-5545	116	31	covid-19	covid-19	PROPN
ejpam-5545	116	32	variants	variant	NOUN
ejpam-5545	116	33	.	.	PUNCT
ejpam-5545	117	1	applying	apply	VERB
ejpam-5545	117	2	this	this	DET
ejpam-5545	117	3	method	method	NOUN
ejpam-5545	117	4	to	to	ADP
ejpam-5545	117	5	real	real	ADJ
ejpam-5545	117	6	-	-	PUNCT
ejpam-5545	117	7	world	world	NOUN
ejpam-5545	117	8	data	datum	NOUN
ejpam-5545	117	9	demonstrates	demonstrate	VERB
ejpam-5545	117	10	the	the	DET
ejpam-5545	117	11	effectiveness	effectiveness	NOUN
ejpam-5545	117	12	of	of	ADP
ejpam-5545	117	13	βb	βb	ADJ
ejpam-5545	117	14	-	-	PUNCT
ejpam-5545	117	15	approximations	approximation	NOUN
ejpam-5545	117	16	in	in	ADP
ejpam-5545	117	17	facilitating	facilitate	VERB
ejpam-5545	117	18	accurate	accurate	ADJ
ejpam-5545	117	19	decisionmaking	decisionmaking	NOUN
ejpam-5545	117	20	.	.	PUNCT
ejpam-5545	118	1	integrating	integrate	VERB
ejpam-5545	118	2	mathematical	mathematical	ADJ
ejpam-5545	118	3	outputs	output	NOUN
ejpam-5545	118	4	with	with	ADP
ejpam-5545	118	5	medical	medical	ADJ
ejpam-5545	118	6	diagnostics	diagnostic	NOUN
ejpam-5545	118	7	reveals	reveal	VERB
ejpam-5545	118	8	hidden	hidden	ADJ
ejpam-5545	118	9	patterns	pattern	NOUN
ejpam-5545	118	10	within	within	ADP
ejpam-5545	118	11	the	the	DET
ejpam-5545	118	12	dataset	dataset	NOUN
ejpam-5545	118	13	.	.	PUNCT
ejpam-5545	119	1	3	3	X
ejpam-5545	119	2	.	.	X
ejpam-5545	119	3	interpretation	interpretation	NOUN
ejpam-5545	119	4	:	:	PUNCT
ejpam-5545	119	5	the	the	DET
ejpam-5545	119	6	proposed	propose	VERB
ejpam-5545	119	7	article	article	NOUN
ejpam-5545	119	8	represents	represent	VERB
ejpam-5545	119	9	a	a	DET
ejpam-5545	119	10	significant	significant	ADJ
ejpam-5545	119	11	mathematical	mathematical	ADJ
ejpam-5545	119	12	discovery	discovery	NOUN
ejpam-5545	119	13	,	,	PUNCT
ejpam-5545	119	14	enhancing	enhance	VERB
ejpam-5545	119	15	the	the	DET
ejpam-5545	119	16	accuracy	accuracy	NOUN
ejpam-5545	119	17	of	of	ADP
ejpam-5545	119	18	decision	decision	NOUN
ejpam-5545	119	19	-	-	PUNCT
ejpam-5545	119	20	making	making	NOUN
ejpam-5545	119	21	while	while	SCONJ
ejpam-5545	119	22	providing	provide	VERB
ejpam-5545	119	23	a	a	DET
ejpam-5545	119	24	robust	robust	ADJ
ejpam-5545	119	25	mechanism	mechanism	NOUN
ejpam-5545	119	26	for	for	ADP
ejpam-5545	119	27	analyzing	analyze	VERB
ejpam-5545	119	28	covid-19	covid-19	PROPN
ejpam-5545	119	29	variants	variant	NOUN
ejpam-5545	119	30	.	.	PUNCT
ejpam-5545	120	1	this	this	DET
ejpam-5545	120	2	strategy	strategy	NOUN
ejpam-5545	120	3	has	have	VERB
ejpam-5545	120	4	the	the	DET
ejpam-5545	120	5	potential	potential	NOUN
ejpam-5545	120	6	to	to	PART
ejpam-5545	120	7	save	save	VERB
ejpam-5545	120	8	valuable	valuable	ADJ
ejpam-5545	120	9	time	time	NOUN
ejpam-5545	120	10	and	and	CCONJ
ejpam-5545	120	11	resources	resource	NOUN
ejpam-5545	120	12	for	for	ADP
ejpam-5545	120	13	both	both	DET
ejpam-5545	120	14	healthcare	healthcare	NOUN
ejpam-5545	120	15	professionals	professional	NOUN
ejpam-5545	120	16	and	and	CCONJ
ejpam-5545	120	17	patients	patient	NOUN
ejpam-5545	120	18	.	.	PUNCT
ejpam-5545	121	1	4	4	X
ejpam-5545	121	2	.	.	X
ejpam-5545	121	3	comparative	comparative	ADJ
ejpam-5545	121	4	examination	examination	NOUN
ejpam-5545	121	5	with	with	ADP
ejpam-5545	121	6	previous	previous	ADJ
ejpam-5545	121	7	approaches	approach	NOUN
ejpam-5545	121	8	:	:	PUNCT
ejpam-5545	121	9	we	we	PRON
ejpam-5545	121	10	conduct	conduct	VERB
ejpam-5545	121	11	a	a	DET
ejpam-5545	121	12	thorough	thorough	ADJ
ejpam-5545	121	13	examination	examination	NOUN
ejpam-5545	121	14	of	of	ADP
ejpam-5545	121	15	the	the	DET
ejpam-5545	121	16	newly	newly	ADV
ejpam-5545	121	17	proposed	propose	VERB
ejpam-5545	121	18	βb	βb	ADJ
ejpam-5545	121	19	-	-	PUNCT
ejpam-5545	121	20	approximations	approximation	NOUN
ejpam-5545	121	21	,	,	PUNCT
ejpam-5545	121	22	comparing	compare	VERB
ejpam-5545	121	23	them	they	PRON
ejpam-5545	121	24	with	with	ADP
ejpam-5545	121	25	other	other	ADJ
ejpam-5545	121	26	established	establish	VERB
ejpam-5545	121	27	techniques	technique	NOUN
ejpam-5545	121	28	in	in	ADP
ejpam-5545	121	29	the	the	DET
ejpam-5545	121	30	references	reference	NOUN
ejpam-5545	121	31	.	.	PUNCT
ejpam-5545	122	1	these	these	DET
ejpam-5545	122	2	comparisons	comparison	NOUN
ejpam-5545	122	3	underscore	underscore	VERB
ejpam-5545	122	4	the	the	DET
ejpam-5545	122	5	advantages	advantage	NOUN
ejpam-5545	122	6	and	and	CCONJ
ejpam-5545	122	7	distinct	distinct	ADJ
ejpam-5545	122	8	features	feature	NOUN
ejpam-5545	122	9	of	of	ADP
ejpam-5545	122	10	our	our	PRON
ejpam-5545	122	11	proposed	propose	VERB
ejpam-5545	122	12	methods	method	NOUN
ejpam-5545	122	13	.	.	PUNCT
ejpam-5545	123	1	5	5	X
ejpam-5545	123	2	.	.	X
ejpam-5545	123	3	an	an	DET
ejpam-5545	123	4	algorithm	algorithm	NOUN
ejpam-5545	123	5	suggestion	suggestion	NOUN
ejpam-5545	123	6	:	:	PUNCT
ejpam-5545	123	7	the	the	DET
ejpam-5545	123	8	paper	paper	NOUN
ejpam-5545	123	9	proposes	propose	VERB
ejpam-5545	123	10	a	a	DET
ejpam-5545	123	11	framework	framework	NOUN
ejpam-5545	123	12	(	(	PUNCT
ejpam-5545	123	13	in	in	ADP
ejpam-5545	123	14	the	the	DET
ejpam-5545	123	15	form	form	NOUN
ejpam-5545	123	16	of	of	ADP
ejpam-5545	123	17	a	a	DET
ejpam-5545	123	18	simple	simple	ADJ
ejpam-5545	123	19	algorithm	algorithm	NOUN
ejpam-5545	123	20	)	)	PUNCT
ejpam-5545	123	21	tailored	tailor	VERB
ejpam-5545	123	22	for	for	ADP
ejpam-5545	123	23	applying	apply	VERB
ejpam-5545	123	24	the	the	DET
ejpam-5545	123	25	proposed	propose	VERB
ejpam-5545	123	26	methods	method	NOUN
ejpam-5545	123	27	to	to	ADP
ejpam-5545	123	28	decision	decision	NOUN
ejpam-5545	123	29	-	-	PUNCT
ejpam-5545	123	30	making	make	VERB
ejpam-5545	123	31	m.	m.	NOUN
ejpam-5545	123	32	k.	k.	PROPN
ejpam-5545	124	1	el	el	PROPN
ejpam-5545	124	2	-	-	PROPN
ejpam-5545	124	3	bably	bably	PROPN
ejpam-5545	124	4	et	et	PROPN
ejpam-5545	124	5	al	al	PROPN
ejpam-5545	124	6	.	.	PUNCT
ejpam-5545	124	7	/	/	SYM
ejpam-5545	124	8	eur	eur	PROPN
ejpam-5545	124	9	.	.	PUNCT
ejpam-5545	125	1	j.	j.	PROPN
ejpam-5545	125	2	pure	pure	PROPN
ejpam-5545	125	3	appl	appl	PROPN
ejpam-5545	125	4	.	.	PROPN
ejpam-5545	125	5	math	math	PROPN
ejpam-5545	125	6	,	,	PUNCT
ejpam-5545	125	7	17	17	NUM
ejpam-5545	125	8	(	(	PUNCT
ejpam-5545	125	9	4	4	NUM
ejpam-5545	125	10	)	)	PUNCT
ejpam-5545	125	11	(	(	PUNCT
ejpam-5545	125	12	2024	2024	NUM
ejpam-5545	125	13	)	)	PUNCT
ejpam-5545	125	14	,	,	PUNCT
ejpam-5545	125	15	3743	3743	NUM
ejpam-5545	125	16	-	-	SYM
ejpam-5545	125	17	3771	3771	NUM
ejpam-5545	125	18	3748	3748	NUM
ejpam-5545	125	19	problems	problem	NOUN
ejpam-5545	125	20	,	,	PUNCT
ejpam-5545	125	21	with	with	ADP
ejpam-5545	125	22	a	a	DET
ejpam-5545	125	23	focus	focus	NOUN
ejpam-5545	125	24	on	on	ADP
ejpam-5545	125	25	implementation	implementation	NOUN
ejpam-5545	125	26	in	in	ADP
ejpam-5545	125	27	matlab	matlab	PROPN
ejpam-5545	125	28	.	.	PUNCT
ejpam-5545	126	1	it	it	PRON
ejpam-5545	126	2	also	also	ADV
ejpam-5545	126	3	suggests	suggest	VERB
ejpam-5545	126	4	future	future	ADJ
ejpam-5545	126	5	research	research	NOUN
ejpam-5545	126	6	in	in	ADP
ejpam-5545	126	7	financial	financial	ADJ
ejpam-5545	126	8	,	,	PUNCT
ejpam-5545	126	9	medical	medical	ADJ
ejpam-5545	126	10	,	,	PUNCT
ejpam-5545	126	11	and	and	CCONJ
ejpam-5545	126	12	other	other	ADJ
ejpam-5545	126	13	theoretical	theoretical	ADJ
ejpam-5545	126	14	contexts	contexts	NOUN
ejpam-5545	126	15	to	to	PART
ejpam-5545	126	16	enhance	enhance	VERB
ejpam-5545	126	17	the	the	DET
ejpam-5545	126	18	applicability	applicability	NOUN
ejpam-5545	126	19	of	of	ADP
ejpam-5545	126	20	these	these	DET
ejpam-5545	126	21	approaches	approach	NOUN
ejpam-5545	126	22	.	.	PUNCT
ejpam-5545	127	1	this	this	DET
ejpam-5545	127	2	extension	extension	NOUN
ejpam-5545	127	3	aims	aim	VERB
ejpam-5545	127	4	to	to	PART
ejpam-5545	127	5	address	address	VERB
ejpam-5545	127	6	future	future	ADJ
ejpam-5545	127	7	large	large	ADJ
ejpam-5545	127	8	-	-	PUNCT
ejpam-5545	127	9	data	data	NOUN
ejpam-5545	127	10	challenges	challenge	NOUN
ejpam-5545	127	11	and	and	CCONJ
ejpam-5545	127	12	broaden	broaden	VERB
ejpam-5545	127	13	the	the	DET
ejpam-5545	127	14	scope	scope	NOUN
ejpam-5545	127	15	of	of	ADP
ejpam-5545	127	16	applied	apply	VERB
ejpam-5545	127	17	problems	problem	NOUN
ejpam-5545	127	18	.	.	PUNCT
ejpam-5545	128	1	outline	outline	NOUN
ejpam-5545	128	2	of	of	ADP
ejpam-5545	128	3	the	the	DET
ejpam-5545	128	4	paper	paper	NOUN
ejpam-5545	128	5	:	:	PUNCT
ejpam-5545	128	6	the	the	DET
ejpam-5545	128	7	remainder	remainder	NOUN
ejpam-5545	128	8	of	of	ADP
ejpam-5545	128	9	this	this	DET
ejpam-5545	128	10	paper	paper	NOUN
ejpam-5545	128	11	is	be	AUX
ejpam-5545	128	12	organized	organize	VERB
ejpam-5545	128	13	as	as	SCONJ
ejpam-5545	128	14	follows	follow	VERB
ejpam-5545	128	15	.	.	PUNCT
ejpam-5545	129	1	in	in	ADP
ejpam-5545	129	2	section	section	NOUN
ejpam-5545	129	3	2	2	NUM
ejpam-5545	129	4	,	,	PUNCT
ejpam-5545	129	5	we	we	PRON
ejpam-5545	129	6	recall	recall	VERB
ejpam-5545	129	7	some	some	DET
ejpam-5545	129	8	definitions	definition	NOUN
ejpam-5545	129	9	and	and	CCONJ
ejpam-5545	129	10	basic	basic	ADJ
ejpam-5545	129	11	results	result	NOUN
ejpam-5545	129	12	concerning	concern	VERB
ejpam-5545	129	13	b	b	NOUN
ejpam-5545	129	14	-	-	PUNCT
ejpam-5545	129	15	neighborhoods	neighborhood	NOUN
ejpam-5545	129	16	and	and	CCONJ
ejpam-5545	129	17	present	present	ADJ
ejpam-5545	129	18	properties	property	NOUN
ejpam-5545	129	19	of	of	ADP
ejpam-5545	129	20	neighborhood	neighborhood	NOUN
ejpam-5545	129	21	systems	system	NOUN
ejpam-5545	129	22	generated	generate	VERB
ejpam-5545	129	23	by	by	ADP
ejpam-5545	129	24	binary	binary	ADJ
ejpam-5545	129	25	relations	relation	NOUN
ejpam-5545	129	26	,	,	PUNCT
ejpam-5545	129	27	providing	provide	VERB
ejpam-5545	129	28	a	a	DET
ejpam-5545	129	29	brief	brief	ADJ
ejpam-5545	129	30	overview	overview	NOUN
ejpam-5545	129	31	of	of	ADP
ejpam-5545	129	32	different	different	ADJ
ejpam-5545	129	33	types	type	NOUN
ejpam-5545	129	34	of	of	ADP
ejpam-5545	129	35	neighborhoods	neighborhood	NOUN
ejpam-5545	129	36	based	base	VERB
ejpam-5545	129	37	on	on	ADP
ejpam-5545	129	38	general	general	ADJ
ejpam-5545	129	39	binary	binary	PROPN
ejpam-5545	129	40	relations	relation	NOUN
ejpam-5545	129	41	.	.	PUNCT
ejpam-5545	130	1	in	in	ADP
ejpam-5545	130	2	section	section	NOUN
ejpam-5545	130	3	3	3	NUM
ejpam-5545	130	4	,	,	PUNCT
ejpam-5545	130	5	we	we	PRON
ejpam-5545	130	6	introduce	introduce	VERB
ejpam-5545	130	7	the	the	DET
ejpam-5545	130	8	concept	concept	NOUN
ejpam-5545	130	9	of	of	ADP
ejpam-5545	130	10	βb	βb	ADJ
ejpam-5545	130	11	-	-	PUNCT
ejpam-5545	130	12	rough	rough	ADJ
ejpam-5545	130	13	sets	set	NOUN
ejpam-5545	130	14	as	as	ADP
ejpam-5545	130	15	a	a	DET
ejpam-5545	130	16	generalized	generalized	ADJ
ejpam-5545	130	17	extension	extension	NOUN
ejpam-5545	130	18	of	of	ADP
ejpam-5545	130	19	rough	rough	ADJ
ejpam-5545	130	20	set	set	NOUN
ejpam-5545	130	21	theory	theory	NOUN
ejpam-5545	130	22	.	.	PUNCT
ejpam-5545	131	1	this	this	DET
ejpam-5545	131	2	approach	approach	NOUN
ejpam-5545	131	3	leverages	leverage	VERB
ejpam-5545	131	4	topological	topological	ADJ
ejpam-5545	131	5	structures	structure	NOUN
ejpam-5545	131	6	rooted	root	VERB
ejpam-5545	131	7	in	in	ADP
ejpam-5545	131	8	related	relate	VERB
ejpam-5545	131	9	concepts	concept	NOUN
ejpam-5545	131	10	while	while	SCONJ
ejpam-5545	131	11	avoiding	avoid	VERB
ejpam-5545	131	12	the	the	DET
ejpam-5545	131	13	complexities	complexity	NOUN
ejpam-5545	131	14	of	of	ADP
ejpam-5545	131	15	formal	formal	ADJ
ejpam-5545	131	16	topology	topology	NOUN
ejpam-5545	131	17	.	.	PUNCT
ejpam-5545	132	1	as	as	ADP
ejpam-5545	132	2	a	a	DET
ejpam-5545	132	3	result	result	NOUN
ejpam-5545	132	4	,	,	PUNCT
ejpam-5545	132	5	these	these	DET
ejpam-5545	132	6	methods	method	NOUN
ejpam-5545	132	7	are	be	AUX
ejpam-5545	132	8	more	more	ADV
ejpam-5545	132	9	accessible	accessible	ADJ
ejpam-5545	132	10	to	to	ADP
ejpam-5545	132	11	those	those	PRON
ejpam-5545	132	12	unfamiliar	unfamiliar	ADJ
ejpam-5545	132	13	with	with	ADP
ejpam-5545	132	14	advanced	advanced	ADJ
ejpam-5545	132	15	topological	topological	ADJ
ejpam-5545	132	16	theory	theory	NOUN
ejpam-5545	132	17	and	and	CCONJ
ejpam-5545	132	18	broaden	broaden	VERB
ejpam-5545	132	19	the	the	DET
ejpam-5545	132	20	application	application	NOUN
ejpam-5545	132	21	of	of	ADP
ejpam-5545	132	22	topological	topological	ADJ
ejpam-5545	132	23	ideas	idea	NOUN
ejpam-5545	132	24	across	across	ADP
ejpam-5545	132	25	various	various	ADJ
ejpam-5545	132	26	scientific	scientific	ADJ
ejpam-5545	132	27	fields	field	NOUN
ejpam-5545	132	28	.	.	PUNCT
ejpam-5545	133	1	the	the	DET
ejpam-5545	133	2	characteristics	characteristic	NOUN
ejpam-5545	133	3	and	and	CCONJ
ejpam-5545	133	4	relationships	relationship	NOUN
ejpam-5545	133	5	of	of	ADP
ejpam-5545	133	6	the	the	DET
ejpam-5545	133	7	proposed	propose	VERB
ejpam-5545	133	8	methods	method	NOUN
ejpam-5545	133	9	are	be	AUX
ejpam-5545	133	10	explored	explore	VERB
ejpam-5545	133	11	through	through	ADP
ejpam-5545	133	12	established	establish	VERB
ejpam-5545	133	13	results	result	NOUN
ejpam-5545	133	14	and	and	CCONJ
ejpam-5545	133	15	illustrative	illustrative	ADJ
ejpam-5545	133	16	examples	example	NOUN
ejpam-5545	133	17	.	.	PUNCT
ejpam-5545	134	1	section	section	NOUN
ejpam-5545	134	2	4	4	NUM
ejpam-5545	134	3	is	be	AUX
ejpam-5545	134	4	devoted	devote	VERB
ejpam-5545	134	5	to	to	ADP
ejpam-5545	134	6	conducting	conduct	VERB
ejpam-5545	134	7	comprehensive	comprehensive	ADJ
ejpam-5545	134	8	comparisons	comparison	NOUN
ejpam-5545	134	9	between	between	ADP
ejpam-5545	134	10	the	the	DET
ejpam-5545	134	11	methods	method	NOUN
ejpam-5545	134	12	proposed	propose	VERB
ejpam-5545	134	13	in	in	ADP
ejpam-5545	134	14	this	this	DET
ejpam-5545	134	15	manuscript	manuscript	NOUN
ejpam-5545	134	16	and	and	CCONJ
ejpam-5545	134	17	previous	previous	ADJ
ejpam-5545	134	18	works	work	NOUN
ejpam-5545	134	19	,	,	PUNCT
ejpam-5545	134	20	particularly	particularly	ADV
ejpam-5545	134	21	those	those	PRON
ejpam-5545	134	22	by	by	ADP
ejpam-5545	134	23	yao	yao	NOUN
ejpam-5545	135	1	[	[	X
ejpam-5545	135	2	65	65	NUM
ejpam-5545	135	3	]	]	PUNCT
ejpam-5545	135	4	,	,	PUNCT
ejpam-5545	135	5	dai	dai	PROPN
ejpam-5545	135	6	et	et	PROPN
ejpam-5545	135	7	al	al	PROPN
ejpam-5545	135	8	.	.	PUNCT
ejpam-5545	136	1	[	[	X
ejpam-5545	136	2	27	27	NUM
ejpam-5545	136	3	]	]	PUNCT
ejpam-5545	136	4	,	,	PUNCT
ejpam-5545	136	5	abd	abd	PROPN
ejpam-5545	136	6	el	el	PROPN
ejpam-5545	136	7	-	-	PROPN
ejpam-5545	136	8	monsef	monsef	PROPN
ejpam-5545	136	9	et	et	PROPN
ejpam-5545	136	10	al	al	PROPN
ejpam-5545	136	11	.	.	PUNCT
ejpam-5545	137	1	[	[	X
ejpam-5545	137	2	40	40	NUM
ejpam-5545	137	3	]	]	PUNCT
ejpam-5545	137	4	,	,	PUNCT
ejpam-5545	137	5	and	and	CCONJ
ejpam-5545	137	6	abu	abu	PROPN
ejpam-5545	137	7	-	-	PUNCT
ejpam-5545	137	8	gadairi	gadairi	PROPN
ejpam-5545	137	9	[	[	X
ejpam-5545	137	10	8	8	NUM
ejpam-5545	137	11	]	]	PUNCT
ejpam-5545	137	12	.	.	PUNCT
ejpam-5545	138	1	we	we	PRON
ejpam-5545	138	2	critically	critically	ADV
ejpam-5545	138	3	evaluate	evaluate	VERB
ejpam-5545	138	4	their	their	PRON
ejpam-5545	138	5	effectiveness	effectiveness	NOUN
ejpam-5545	138	6	and	and	CCONJ
ejpam-5545	138	7	applicability	applicability	NOUN
ejpam-5545	138	8	.	.	PUNCT
ejpam-5545	139	1	in	in	ADP
ejpam-5545	139	2	section	section	NOUN
ejpam-5545	139	3	5	5	NUM
ejpam-5545	139	4	,	,	PUNCT
ejpam-5545	139	5	we	we	PRON
ejpam-5545	139	6	highlight	highlight	VERB
ejpam-5545	139	7	the	the	DET
ejpam-5545	139	8	applications	application	NOUN
ejpam-5545	139	9	of	of	ADP
ejpam-5545	139	10	these	these	DET
ejpam-5545	139	11	topological	topological	ADJ
ejpam-5545	139	12	structures	structure	NOUN
ejpam-5545	139	13	in	in	ADP
ejpam-5545	139	14	the	the	DET
ejpam-5545	139	15	medical	medical	ADJ
ejpam-5545	139	16	field	field	NOUN
ejpam-5545	139	17	,	,	PUNCT
ejpam-5545	139	18	focusing	focus	VERB
ejpam-5545	139	19	on	on	ADP
ejpam-5545	139	20	decision	decision	NOUN
ejpam-5545	139	21	-	-	PUNCT
ejpam-5545	139	22	making	make	VERB
ejpam-5545	139	23	processes	process	NOUN
ejpam-5545	139	24	and	and	CCONJ
ejpam-5545	139	25	prospects	prospect	NOUN
ejpam-5545	139	26	in	in	ADP
ejpam-5545	139	27	rough	rough	ADJ
ejpam-5545	139	28	set	set	NOUN
ejpam-5545	139	29	theory	theory	NOUN
ejpam-5545	139	30	.	.	PUNCT
ejpam-5545	140	1	specifically	specifically	ADV
ejpam-5545	140	2	,	,	PUNCT
ejpam-5545	140	3	we	we	PRON
ejpam-5545	140	4	apply	apply	VERB
ejpam-5545	140	5	βb	βb	ADJ
ejpam-5545	140	6	-	-	PUNCT
ejpam-5545	140	7	rough	rough	ADJ
ejpam-5545	140	8	sets	set	NOUN
ejpam-5545	140	9	for	for	ADP
ejpam-5545	140	10	accurate	accurate	ADJ
ejpam-5545	140	11	decision	decision	NOUN
ejpam-5545	140	12	-	-	PUNCT
ejpam-5545	140	13	making	making	NOUN
ejpam-5545	140	14	in	in	ADP
ejpam-5545	140	15	identifying	identify	VERB
ejpam-5545	140	16	covid-19	covid-19	PROPN
ejpam-5545	140	17	variants	variant	NOUN
ejpam-5545	140	18	.	.	PUNCT
ejpam-5545	141	1	finally	finally	ADV
ejpam-5545	141	2	,	,	PUNCT
ejpam-5545	141	3	we	we	PRON
ejpam-5545	141	4	present	present	VERB
ejpam-5545	141	5	our	our	PRON
ejpam-5545	141	6	conclusions	conclusion	NOUN
ejpam-5545	141	7	in	in	ADP
ejpam-5545	141	8	section	section	NOUN
ejpam-5545	141	9	6	6	NUM
ejpam-5545	141	10	.	.	NOUN
ejpam-5545	141	11	2	2	NUM
ejpam-5545	141	12	.	.	X
ejpam-5545	141	13	fundamental	fundamental	ADJ
ejpam-5545	141	14	ideas	idea	NOUN
ejpam-5545	141	15	the	the	DET
ejpam-5545	141	16	current	current	ADJ
ejpam-5545	141	17	part	part	NOUN
ejpam-5545	141	18	summarizes	summarize	VERB
ejpam-5545	141	19	the	the	DET
ejpam-5545	141	20	key	key	ADJ
ejpam-5545	141	21	ideas	idea	NOUN
ejpam-5545	141	22	from	from	ADP
ejpam-5545	141	23	several	several	ADJ
ejpam-5545	141	24	fundamental	fundamental	ADJ
ejpam-5545	141	25	publications	publication	NOUN
ejpam-5545	141	26	on	on	ADP
ejpam-5545	141	27	rough	rough	ADJ
ejpam-5545	141	28	sets	set	NOUN
ejpam-5545	141	29	,	,	PUNCT
ejpam-5545	141	30	including	include	VERB
ejpam-5545	141	31	contributions	contribution	NOUN
ejpam-5545	141	32	from	from	ADP
ejpam-5545	141	33	(	(	PUNCT
ejpam-5545	141	34	[	[	X
ejpam-5545	141	35	8	8	NUM
ejpam-5545	141	36	]	]	PUNCT
ejpam-5545	141	37	,	,	PUNCT
ejpam-5545	141	38	[	[	X
ejpam-5545	141	39	27	27	NUM
ejpam-5545	141	40	]	]	PUNCT
ejpam-5545	141	41	,	,	PUNCT
ejpam-5545	141	42	[	[	X
ejpam-5545	141	43	40	40	NUM
ejpam-5545	141	44	]	]	PUNCT
ejpam-5545	141	45	,	,	PUNCT
ejpam-5545	141	46	[	[	X
ejpam-5545	141	47	65	65	NUM
ejpam-5545	141	48	]	]	NUM
ejpam-5545	141	49	)	)	PUNCT
ejpam-5545	141	50	.	.	PUNCT
ejpam-5545	142	1	a	a	DET
ejpam-5545	142	2	binary	binary	ADJ
ejpam-5545	142	3	relation	relation	NOUN
ejpam-5545	142	4	θ	θ	PROPN
ejpam-5545	142	5	on	on	ADP
ejpam-5545	142	6	a	a	DET
ejpam-5545	142	7	non	non	ADJ
ejpam-5545	142	8	-	-	ADJ
ejpam-5545	142	9	empty	empty	ADJ
ejpam-5545	142	10	set	set	NOUN
ejpam-5545	142	11	s	s	VERB
ejpam-5545	142	12	is	be	AUX
ejpam-5545	142	13	a	a	DET
ejpam-5545	142	14	subset	subset	NOUN
ejpam-5545	142	15	of	of	ADP
ejpam-5545	142	16	the	the	DET
ejpam-5545	142	17	cartesian	cartesian	ADJ
ejpam-5545	142	18	product	product	NOUN
ejpam-5545	142	19	s	s	PART
ejpam-5545	142	20	×	×	NOUN
ejpam-5545	142	21	s.	s.	PROPN
ejpam-5545	142	22	any	any	DET
ejpam-5545	142	23	s	s	PROPN
ejpam-5545	142	24	,	,	PUNCT
ejpam-5545	142	25	t	t	PROPN
ejpam-5545	142	26	∈	∈	PROPN
ejpam-5545	142	27	s	s	PART
ejpam-5545	142	28	is	be	AUX
ejpam-5545	142	29	said	say	VERB
ejpam-5545	142	30	to	to	PART
ejpam-5545	142	31	be	be	AUX
ejpam-5545	142	32	related	relate	VERB
ejpam-5545	142	33	to	to	ADP
ejpam-5545	142	34	θ	θ	PROPN
ejpam-5545	142	35	,	,	PUNCT
ejpam-5545	142	36	which	which	PRON
ejpam-5545	142	37	can	can	AUX
ejpam-5545	142	38	be	be	AUX
ejpam-5545	142	39	expressed	express	VERB
ejpam-5545	142	40	as	as	ADP
ejpam-5545	142	41	sθt	sθt	NOUN
ejpam-5545	142	42	.	.	PUNCT
ejpam-5545	143	1	throughout	throughout	ADP
ejpam-5545	143	2	the	the	DET
ejpam-5545	143	3	paper	paper	NOUN
ejpam-5545	143	4	,	,	PUNCT
ejpam-5545	143	5	we	we	PRON
ejpam-5545	143	6	consider	consider	VERB
ejpam-5545	143	7	s	s	PRON
ejpam-5545	143	8	to	to	PART
ejpam-5545	143	9	represent	represent	VERB
ejpam-5545	143	10	a	a	DET
ejpam-5545	143	11	finite	finite	ADJ
ejpam-5545	143	12	set	set	NOUN
ejpam-5545	143	13	.	.	PUNCT
ejpam-5545	144	1	the	the	DET
ejpam-5545	144	2	following	follow	VERB
ejpam-5545	144	3	definition	definition	NOUN
ejpam-5545	144	4	determines	determine	VERB
ejpam-5545	144	5	some	some	DET
ejpam-5545	144	6	types	type	NOUN
ejpam-5545	144	7	of	of	ADP
ejpam-5545	144	8	binary	binary	ADJ
ejpam-5545	144	9	relations	relation	NOUN
ejpam-5545	144	10	:	:	PUNCT
ejpam-5545	144	11	definition	definition	NOUN
ejpam-5545	144	12	1	1	NUM
ejpam-5545	144	13	.	.	PUNCT
ejpam-5545	145	1	[	[	X
ejpam-5545	145	2	65	65	NUM
ejpam-5545	145	3	]	]	X
ejpam-5545	145	4	a	a	DET
ejpam-5545	145	5	relation	relation	NOUN
ejpam-5545	145	6	θ	θ	PROPN
ejpam-5545	145	7	on	on	ADP
ejpam-5545	145	8	s	s	PROPN
ejpam-5545	145	9	is	be	AUX
ejpam-5545	145	10	categorized	categorize	VERB
ejpam-5545	145	11	as	as	SCONJ
ejpam-5545	145	12	follows	follow	VERB
ejpam-5545	145	13	:	:	PUNCT
ejpam-5545	145	14	1	1	X
ejpam-5545	145	15	.	.	X
ejpam-5545	145	16	reflexive	reflexive	ADJ
ejpam-5545	145	17	:	:	PUNCT
ejpam-5545	145	18	if	if	SCONJ
ejpam-5545	145	19	for	for	ADP
ejpam-5545	145	20	all	all	DET
ejpam-5545	145	21	s	s	PART
ejpam-5545	145	22	∈	∈	PROPN
ejpam-5545	145	23	s	s	NOUN
ejpam-5545	145	24	,	,	PUNCT
ejpam-5545	145	25	sθs	sθs	NOUN
ejpam-5545	145	26	.	.	PUNCT
ejpam-5545	146	1	2	2	X
ejpam-5545	146	2	.	.	X
ejpam-5545	146	3	symmetric	symmetric	ADJ
ejpam-5545	146	4	:	:	PUNCT
ejpam-5545	146	5	if	if	SCONJ
ejpam-5545	146	6	whenever	whenever	SCONJ
ejpam-5545	146	7	sθt	sθt	NOUN
ejpam-5545	146	8	,	,	PUNCT
ejpam-5545	146	9	it	it	PRON
ejpam-5545	146	10	implies	imply	VERB
ejpam-5545	146	11	that	that	SCONJ
ejpam-5545	146	12	tθs	tθs	VERB
ejpam-5545	146	13	,	,	PUNCT
ejpam-5545	146	14	for	for	ADP
ejpam-5545	146	15	all	all	DET
ejpam-5545	146	16	s	s	PROPN
ejpam-5545	146	17	,	,	PUNCT
ejpam-5545	147	1	t	t	PROPN
ejpam-5545	147	2	∈	∈	PROPN
ejpam-5545	147	3	s.	s.	PROPN
ejpam-5545	147	4	3	3	X
ejpam-5545	147	5	.	.	PUNCT
ejpam-5545	147	6	transitive	transitive	ADV
ejpam-5545	147	7	:	:	PUNCT
ejpam-5545	147	8	if	if	SCONJ
ejpam-5545	147	9	whenever	whenever	SCONJ
ejpam-5545	147	10	sθq	sθq	ADV
ejpam-5545	147	11	and	and	CCONJ
ejpam-5545	147	12	qθt	qθt	VERB
ejpam-5545	147	13	hold	hold	VERB
ejpam-5545	147	14	true	true	ADJ
ejpam-5545	147	15	for	for	ADP
ejpam-5545	147	16	all	all	DET
ejpam-5545	147	17	s	s	PROPN
ejpam-5545	147	18	,	,	PUNCT
ejpam-5545	147	19	q	q	X
ejpam-5545	147	20	,	,	PUNCT
ejpam-5545	147	21	t	t	PROPN
ejpam-5545	147	22	∈	∈	PROPN
ejpam-5545	147	23	s	s	NOUN
ejpam-5545	147	24	,	,	PUNCT
ejpam-5545	147	25	then	then	ADV
ejpam-5545	147	26	sθt	sθt	NOUN
ejpam-5545	147	27	.	.	PUNCT
ejpam-5545	148	1	4	4	X
ejpam-5545	148	2	.	.	X
ejpam-5545	148	3	pre	pre	VERB
ejpam-5545	148	4	-	-	NOUN
ejpam-5545	148	5	order	order	NOUN
ejpam-5545	148	6	(	(	PUNCT
ejpam-5545	148	7	or	or	CCONJ
ejpam-5545	148	8	quasi	quasi	ADJ
ejpam-5545	148	9	-	-	NOUN
ejpam-5545	148	10	order	order	NOUN
ejpam-5545	148	11	):	):	PUNCT
ejpam-5545	148	12	if	if	SCONJ
ejpam-5545	148	13	it	it	PRON
ejpam-5545	148	14	is	be	AUX
ejpam-5545	148	15	reflexive	reflexive	ADJ
ejpam-5545	148	16	and	and	CCONJ
ejpam-5545	148	17	transitive	transitive	ADJ
ejpam-5545	148	18	.	.	PUNCT
ejpam-5545	149	1	5	5	X
ejpam-5545	149	2	.	.	X
ejpam-5545	149	3	similarity	similarity	NOUN
ejpam-5545	149	4	:	:	PUNCT
ejpam-5545	149	5	if	if	SCONJ
ejpam-5545	149	6	it	it	PRON
ejpam-5545	149	7	is	be	AUX
ejpam-5545	149	8	reflexive	reflexive	ADJ
ejpam-5545	149	9	,	,	PUNCT
ejpam-5545	149	10	and	and	CCONJ
ejpam-5545	149	11	symmetric	symmetric	ADJ
ejpam-5545	149	12	.	.	PUNCT
ejpam-5545	150	1	6	6	NUM
ejpam-5545	150	2	.	.	X
ejpam-5545	150	3	equivalence	equivalence	NOUN
ejpam-5545	150	4	:	:	PUNCT
ejpam-5545	150	5	if	if	SCONJ
ejpam-5545	150	6	it	it	PRON
ejpam-5545	150	7	is	be	AUX
ejpam-5545	150	8	reflexive	reflexive	ADJ
ejpam-5545	150	9	,	,	PUNCT
ejpam-5545	150	10	symmetric	symmetric	ADJ
ejpam-5545	150	11	,	,	PUNCT
ejpam-5545	150	12	and	and	CCONJ
ejpam-5545	150	13	transitive	transitive	ADJ
ejpam-5545	150	14	.	.	PUNCT
ejpam-5545	151	1	m.	m.	PROPN
ejpam-5545	151	2	k.	k.	PROPN
ejpam-5545	152	1	el	el	PROPN
ejpam-5545	152	2	-	-	PROPN
ejpam-5545	152	3	bably	bably	PROPN
ejpam-5545	152	4	et	et	PROPN
ejpam-5545	152	5	al	al	PROPN
ejpam-5545	152	6	.	.	PUNCT
ejpam-5545	152	7	/	/	SYM
ejpam-5545	152	8	eur	eur	PROPN
ejpam-5545	152	9	.	.	PUNCT
ejpam-5545	153	1	j.	j.	PROPN
ejpam-5545	153	2	pure	pure	PROPN
ejpam-5545	153	3	appl	appl	PROPN
ejpam-5545	153	4	.	.	PROPN
ejpam-5545	153	5	math	math	PROPN
ejpam-5545	153	6	,	,	PUNCT
ejpam-5545	153	7	17	17	NUM
ejpam-5545	153	8	(	(	PUNCT
ejpam-5545	153	9	4	4	NUM
ejpam-5545	153	10	)	)	PUNCT
ejpam-5545	153	11	(	(	PUNCT
ejpam-5545	153	12	2024	2024	NUM
ejpam-5545	153	13	)	)	PUNCT
ejpam-5545	153	14	,	,	PUNCT
ejpam-5545	153	15	3743	3743	NUM
ejpam-5545	153	16	-	-	SYM
ejpam-5545	153	17	3771	3771	NUM
ejpam-5545	153	18	3749	3749	NUM
ejpam-5545	153	19	definition	definition	NOUN
ejpam-5545	153	20	2	2	NUM
ejpam-5545	153	21	.	.	PUNCT
ejpam-5545	154	1	by	by	ADP
ejpam-5545	154	2	using	use	VERB
ejpam-5545	154	3	a	a	DET
ejpam-5545	154	4	binary	binary	ADJ
ejpam-5545	154	5	relation	relation	NOUN
ejpam-5545	154	6	,	,	PUNCT
ejpam-5545	154	7	different	different	ADJ
ejpam-5545	154	8	types	type	NOUN
ejpam-5545	154	9	of	of	ADP
ejpam-5545	154	10	neighborhoods	neighborhood	NOUN
ejpam-5545	154	11	(	(	PUNCT
ejpam-5545	154	12	ȷ	ȷ	NOUN
ejpam-5545	154	13	-	-	PUNCT
ejpam-5545	154	14	neighborhood	neighborhood	NOUN
ejpam-5545	154	15	of	of	ADP
ejpam-5545	154	16	s	s	NOUN
ejpam-5545	154	17	∈	∈	PROPN
ejpam-5545	154	18	s	s	PART
ejpam-5545	154	19	)	)	PUNCT
ejpam-5545	154	20	can	can	AUX
ejpam-5545	154	21	be	be	AUX
ejpam-5545	154	22	produced	produce	VERB
ejpam-5545	154	23	as	as	SCONJ
ejpam-5545	154	24	shown	show	VERB
ejpam-5545	154	25	:	:	PUNCT
ejpam-5545	155	1	1	1	X
ejpam-5545	155	2	.	.	X
ejpam-5545	155	3	the	the	DET
ejpam-5545	155	4	right	right	ADJ
ejpam-5545	155	5	neighborhood	neighborhood	NOUN
ejpam-5545	155	6	of	of	ADP
ejpam-5545	155	7	s	s	NOUN
ejpam-5545	155	8	[	[	X
ejpam-5545	155	9	65	65	NUM
ejpam-5545	155	10	]	]	PUNCT
ejpam-5545	155	11	,	,	PUNCT
ejpam-5545	155	12	shown	show	VERB
ejpam-5545	155	13	by	by	ADP
ejpam-5545	155	14	℧	℧	NOUN
ejpam-5545	155	15	r(s	r(s	NUM
ejpam-5545	155	16	)	)	PUNCT
ejpam-5545	155	17	,	,	PUNCT
ejpam-5545	155	18	consists	consist	VERB
ejpam-5545	155	19	of	of	ADP
ejpam-5545	155	20	all	all	DET
ejpam-5545	155	21	elements	element	NOUN
ejpam-5545	155	22	t	t	X
ejpam-5545	155	23	∈	∈	NOUN
ejpam-5545	155	24	s	s	VERB
ejpam-5545	155	25	such	such	ADJ
ejpam-5545	155	26	that	that	DET
ejpam-5545	155	27	sθt	sθt	NOUN
ejpam-5545	155	28	.	.	PUNCT
ejpam-5545	156	1	2	2	X
ejpam-5545	156	2	.	.	X
ejpam-5545	156	3	the	the	DET
ejpam-5545	156	4	minimal	minimal	ADJ
ejpam-5545	156	5	neighborhood	neighborhood	NOUN
ejpam-5545	156	6	of	of	ADP
ejpam-5545	156	7	s	s	NOUN
ejpam-5545	156	8	[	[	X
ejpam-5545	156	9	18	18	NUM
ejpam-5545	156	10	,	,	PUNCT
ejpam-5545	156	11	19	19	NUM
ejpam-5545	156	12	]	]	PUNCT
ejpam-5545	156	13	,	,	PUNCT
ejpam-5545	156	14	denoted	denote	VERB
ejpam-5545	156	15	by	by	ADP
ejpam-5545	156	16	℧	℧	PROPN
ejpam-5545	156	17	m(s	m(s	PROPN
ejpam-5545	156	18	)	)	PUNCT
ejpam-5545	156	19	,	,	PUNCT
ejpam-5545	156	20	is	be	AUX
ejpam-5545	156	21	the	the	DET
ejpam-5545	156	22	intersection	intersection	NOUN
ejpam-5545	156	23	of	of	ADP
ejpam-5545	156	24	all	all	DET
ejpam-5545	156	25	right	right	ADJ
ejpam-5545	156	26	neighborhoods	neighborhood	NOUN
ejpam-5545	156	27	of	of	ADP
ejpam-5545	156	28	elements	element	NOUN
ejpam-5545	156	29	t	t	X
ejpam-5545	156	30	∈	∈	NOUN
ejpam-5545	156	31	s	s	VERB
ejpam-5545	156	32	such	such	ADJ
ejpam-5545	156	33	that	that	PRON
ejpam-5545	156	34	s	s	PART
ejpam-5545	156	35	is	be	AUX
ejpam-5545	156	36	an	an	DET
ejpam-5545	156	37	element	element	NOUN
ejpam-5545	156	38	of	of	ADP
ejpam-5545	156	39	each	each	DET
ejpam-5545	156	40	right	right	ADJ
ejpam-5545	156	41	neighborhood	neighborhood	NOUN
ejpam-5545	156	42	of	of	ADP
ejpam-5545	156	43	t.	t.	PROPN
ejpam-5545	156	44	3	3	NUM
ejpam-5545	156	45	.	.	PUNCT
ejpam-5545	157	1	the	the	DET
ejpam-5545	157	2	basic	basic	ADJ
ejpam-5545	157	3	neighborhood	neighborhood	NOUN
ejpam-5545	157	4	of	of	ADP
ejpam-5545	157	5	s	s	NOUN
ejpam-5545	157	6	[	[	X
ejpam-5545	157	7	8	8	NUM
ejpam-5545	157	8	]	]	PUNCT
ejpam-5545	157	9	,	,	PUNCT
ejpam-5545	157	10	denoted	denote	VERB
ejpam-5545	157	11	by	by	ADP
ejpam-5545	157	12	℧	℧	NOUN
ejpam-5545	157	13	b(s	b(	NOUN
ejpam-5545	157	14	)	)	PUNCT
ejpam-5545	157	15	,	,	PUNCT
ejpam-5545	157	16	comprises	comprise	VERB
ejpam-5545	157	17	all	all	DET
ejpam-5545	157	18	elements	element	NOUN
ejpam-5545	157	19	t	t	X
ejpam-5545	157	20	∈	∈	NOUN
ejpam-5545	157	21	s	s	VERB
ejpam-5545	157	22	such	such	ADJ
ejpam-5545	157	23	that	that	SCONJ
ejpam-5545	157	24	the	the	DET
ejpam-5545	157	25	right	right	ADJ
ejpam-5545	157	26	neighborhood	neighborhood	NOUN
ejpam-5545	157	27	of	of	ADP
ejpam-5545	157	28	t	t	PROPN
ejpam-5545	157	29	is	be	AUX
ejpam-5545	157	30	a	a	DET
ejpam-5545	157	31	subset	subset	NOUN
ejpam-5545	157	32	of	of	ADP
ejpam-5545	157	33	the	the	DET
ejpam-5545	157	34	right	right	ADJ
ejpam-5545	157	35	neighborhood	neighborhood	NOUN
ejpam-5545	157	36	of	of	ADP
ejpam-5545	157	37	s.	s.	PROPN
ejpam-5545	157	38	by	by	ADP
ejpam-5545	157	39	utilizing	utilize	VERB
ejpam-5545	157	40	the	the	DET
ejpam-5545	157	41	above	above	ADJ
ejpam-5545	157	42	neighborhoods	neighborhood	NOUN
ejpam-5545	157	43	,	,	PUNCT
ejpam-5545	157	44	different	different	ADJ
ejpam-5545	157	45	rough	rough	ADJ
ejpam-5545	157	46	approximations	approximation	NOUN
ejpam-5545	157	47	have	have	AUX
ejpam-5545	157	48	been	be	AUX
ejpam-5545	157	49	constructed	construct	VERB
ejpam-5545	157	50	as	as	ADP
ejpam-5545	157	51	follow	follow	NOUN
ejpam-5545	157	52	:	:	PUNCT
ejpam-5545	157	53	definition	definition	NOUN
ejpam-5545	157	54	3	3	NUM
ejpam-5545	157	55	.	.	PUNCT
ejpam-5545	158	1	for	for	ADP
ejpam-5545	158	2	any	any	DET
ejpam-5545	158	3	subset	subset	NOUN
ejpam-5545	158	4	i	i	PRON
ejpam-5545	158	5	⊆	⊆	NUM
ejpam-5545	158	6	s	s	NOUN
ejpam-5545	158	7	and	and	CCONJ
ejpam-5545	158	8	∀ȷ	∀ȷ	PROPN
ejpam-5545	158	9	∈	∈	NOUN
ejpam-5545	158	10	{	{	PUNCT
ejpam-5545	158	11	r	r	NOUN
ejpam-5545	158	12	,	,	PUNCT
ejpam-5545	158	13	m	m	PROPN
ejpam-5545	158	14	,	,	PUNCT
ejpam-5545	158	15	b	b	PROPN
ejpam-5545	158	16	}	}	PUNCT
ejpam-5545	158	17	,	,	PUNCT
ejpam-5545	158	18	the	the	DET
ejpam-5545	158	19	approximation	approximation	NOUN
ejpam-5545	158	20	operators	operator	NOUN
ejpam-5545	158	21	(	(	PUNCT
ejpam-5545	158	22	lower	low	ADJ
ejpam-5545	158	23	and	and	CCONJ
ejpam-5545	158	24	upper	upper	ADJ
ejpam-5545	158	25	)	)	PUNCT
ejpam-5545	158	26	,	,	PUNCT
ejpam-5545	158	27	boundary	boundary	ADJ
ejpam-5545	158	28	region	region	NOUN
ejpam-5545	158	29	,	,	PUNCT
ejpam-5545	158	30	and	and	CCONJ
ejpam-5545	158	31	measures	measure	NOUN
ejpam-5545	158	32	of	of	ADP
ejpam-5545	158	33	accuracy	accuracy	NOUN
ejpam-5545	158	34	of	of	ADP
ejpam-5545	158	35	i	i	PRON
ejpam-5545	158	36	⊆	⊆	NUM
ejpam-5545	158	37	s	s	NOUN
ejpam-5545	158	38	are	be	AUX
ejpam-5545	158	39	respectively	respectively	ADV
ejpam-5545	158	40	specified	specify	VERB
ejpam-5545	158	41	by	by	ADP
ejpam-5545	158	42	:	:	PUNCT
ejpam-5545	158	43	lȷ	lȷ	X
ejpam-5545	158	44	(	(	PUNCT
ejpam-5545	158	45	i	i	NOUN
ejpam-5545	158	46	)	)	PUNCT
ejpam-5545	158	47	=	=	PUNCT
ejpam-5545	159	1	{	{	PUNCT
ejpam-5545	159	2	s	s	X
ejpam-5545	159	3	∈	∈	NOUN
ejpam-5545	159	4	s	s	PART
ejpam-5545	159	5	:	:	PUNCT
ejpam-5545	159	6	℧	℧	PROPN
ejpam-5545	159	7	ȷ(s	ȷ(	NOUN
ejpam-5545	159	8	)	)	PUNCT
ejpam-5545	159	9	⊆	⊆	NUM
ejpam-5545	159	10	i	i	PROPN
ejpam-5545	159	11	}	}	PUNCT
ejpam-5545	159	12	,	,	PUNCT
ejpam-5545	159	13	uȷ	uȷ	PROPN
ejpam-5545	159	14	(	(	PUNCT
ejpam-5545	159	15	i	i	NOUN
ejpam-5545	159	16	)	)	PUNCT
ejpam-5545	159	17	=	=	PUNCT
ejpam-5545	159	18	{	{	PUNCT
ejpam-5545	159	19	s	s	X
ejpam-5545	159	20	∈	∈	NOUN
ejpam-5545	159	21	s	s	PART
ejpam-5545	159	22	:	:	PUNCT
ejpam-5545	159	23	℧	℧	PROPN
ejpam-5545	159	24	ȷ(s)∪i	ȷ(s)∪i	PROPN
ejpam-5545	159	25	̸=	̸=	PROPN
ejpam-5545	159	26	∅	∅	NOUN
ejpam-5545	159	27	}	}	PUNCT
ejpam-5545	159	28	,	,	PUNCT
ejpam-5545	159	29	bȷ	bȷ	PROPN
ejpam-5545	159	30	(	(	PUNCT
ejpam-5545	159	31	i	i	NOUN
ejpam-5545	159	32	)	)	PUNCT
ejpam-5545	160	1	=	=	SYM
ejpam-5545	160	2	uȷ	uȷ	PROPN
ejpam-5545	160	3	(	(	PUNCT
ejpam-5545	160	4	i)−lȷ	i)−lȷ	X
ejpam-5545	160	5	(	(	PUNCT
ejpam-5545	160	6	i	i	NOUN
ejpam-5545	160	7	)	)	PUNCT
ejpam-5545	160	8	,	,	PUNCT
ejpam-5545	160	9	and	and	CCONJ
ejpam-5545	160	10	aȷ	aȷ	PROPN
ejpam-5545	160	11	(	(	PUNCT
ejpam-5545	160	12	i	i	NOUN
ejpam-5545	160	13	)	)	PUNCT
ejpam-5545	160	14	=	=	SYM
ejpam-5545	160	15	|lȷ(i)|	|lȷ(i)|	NOUN
ejpam-5545	160	16	|uȷ(i)|	|uȷ(i)|	NOUN
ejpam-5545	160	17	,	,	PUNCT
ejpam-5545	160	18	where	where	SCONJ
ejpam-5545	160	19	|uȷ	|uȷ	X
ejpam-5545	160	20	(	(	PUNCT
ejpam-5545	160	21	i)|	i)|	NOUN
ejpam-5545	160	22	=	=	NOUN
ejpam-5545	160	23	̸	̸	NUM
ejpam-5545	160	24	0	0	NUM
ejpam-5545	160	25	.	.	PUNCT
ejpam-5545	161	1	it	it	PRON
ejpam-5545	161	2	should	should	AUX
ejpam-5545	161	3	be	be	AUX
ejpam-5545	161	4	noted	note	VERB
ejpam-5545	161	5	that	that	SCONJ
ejpam-5545	161	6	:	:	PUNCT
ejpam-5545	161	7	1	1	X
ejpam-5545	161	8	.	.	X
ejpam-5545	161	9	for	for	ADP
ejpam-5545	161	10	ȷ	ȷ	NOUN
ejpam-5545	161	11	=	=	SYM
ejpam-5545	161	12	r	r	NOUN
ejpam-5545	161	13	,	,	PUNCT
ejpam-5545	161	14	definition	definition	NOUN
ejpam-5545	161	15	3	3	NUM
ejpam-5545	161	16	represents	represent	VERB
ejpam-5545	161	17	yao	yao	NOUN
ejpam-5545	161	18	approach	approach	NOUN
ejpam-5545	161	19	[	[	X
ejpam-5545	161	20	65	65	NUM
ejpam-5545	161	21	]	]	PUNCT
ejpam-5545	161	22	.	.	PUNCT
ejpam-5545	162	1	2	2	X
ejpam-5545	162	2	.	.	X
ejpam-5545	162	3	for	for	ADP
ejpam-5545	162	4	ȷ	ȷ	NOUN
ejpam-5545	162	5	=	=	SYM
ejpam-5545	162	6	m	m	PROPN
ejpam-5545	162	7	,	,	PUNCT
ejpam-5545	162	8	definition	definition	NOUN
ejpam-5545	162	9	3	3	NUM
ejpam-5545	162	10	represents	represent	VERB
ejpam-5545	162	11	dai	dai	PROPN
ejpam-5545	162	12	et	et	PROPN
ejpam-5545	162	13	al	al	PROPN
ejpam-5545	162	14	.	.	PROPN
ejpam-5545	162	15	approach	approach	NOUN
ejpam-5545	163	1	[	[	X
ejpam-5545	163	2	27	27	NUM
ejpam-5545	163	3	]	]	PUNCT
ejpam-5545	163	4	.	.	PUNCT
ejpam-5545	164	1	3	3	X
ejpam-5545	164	2	.	.	X
ejpam-5545	164	3	for	for	ADP
ejpam-5545	164	4	ȷ	ȷ	NOUN
ejpam-5545	164	5	=	=	SYM
ejpam-5545	164	6	b	b	PROPN
ejpam-5545	164	7	,	,	PUNCT
ejpam-5545	164	8	definition	definition	NOUN
ejpam-5545	164	9	3	3	NUM
ejpam-5545	164	10	represents	represent	VERB
ejpam-5545	164	11	abu	abu	PROPN
ejpam-5545	164	12	-	-	PUNCT
ejpam-5545	164	13	gdairi	gdairi	PROPN
ejpam-5545	164	14	et	et	PROPN
ejpam-5545	164	15	al	al	PROPN
ejpam-5545	164	16	.	.	PROPN
ejpam-5545	164	17	approach	approach	NOUN
ejpam-5545	165	1	[	[	X
ejpam-5545	165	2	8	8	NUM
ejpam-5545	165	3	]	]	PUNCT
ejpam-5545	165	4	.	.	PUNCT
ejpam-5545	166	1	abd	abd	PROPN
ejpam-5545	166	2	el	el	PROPN
ejpam-5545	166	3	-	-	PROPN
ejpam-5545	166	4	monsef	monsef	PROPN
ejpam-5545	166	5	et	et	PROPN
ejpam-5545	166	6	al	al	PROPN
ejpam-5545	166	7	.	.	PUNCT
ejpam-5545	167	1	[	[	X
ejpam-5545	167	2	40	40	NUM
ejpam-5545	167	3	]	]	PUNCT
ejpam-5545	167	4	presented	present	VERB
ejpam-5545	167	5	an	an	DET
ejpam-5545	167	6	interesting	interesting	ADJ
ejpam-5545	167	7	method	method	NOUN
ejpam-5545	167	8	to	to	PART
ejpam-5545	167	9	generate	generate	VERB
ejpam-5545	167	10	a	a	DET
ejpam-5545	167	11	general	general	ADJ
ejpam-5545	167	12	topology	topology	NOUN
ejpam-5545	167	13	using	use	VERB
ejpam-5545	167	14	eight	eight	NUM
ejpam-5545	167	15	neighborhoods	neighborhood	NOUN
ejpam-5545	167	16	extracted	extract	VERB
ejpam-5545	167	17	from	from	ADP
ejpam-5545	167	18	a	a	DET
ejpam-5545	167	19	binary	binary	ADJ
ejpam-5545	167	20	relation	relation	NOUN
ejpam-5545	167	21	.	.	PUNCT
ejpam-5545	168	1	however	however	ADV
ejpam-5545	168	2	,	,	PUNCT
ejpam-5545	168	3	we	we	PRON
ejpam-5545	168	4	provide	provide	VERB
ejpam-5545	168	5	this	this	DET
ejpam-5545	168	6	method	method	NOUN
ejpam-5545	168	7	specifically	specifically	ADV
ejpam-5545	168	8	for	for	ADP
ejpam-5545	168	9	the	the	DET
ejpam-5545	168	10	case	case	NOUN
ejpam-5545	168	11	of	of	ADP
ejpam-5545	168	12	right	right	ADJ
ejpam-5545	168	13	neighborhoods	neighborhood	NOUN
ejpam-5545	168	14	,	,	PUNCT
ejpam-5545	168	15	as	as	SCONJ
ejpam-5545	168	16	demonstrated	demonstrate	VERB
ejpam-5545	168	17	in	in	ADP
ejpam-5545	168	18	the	the	DET
ejpam-5545	168	19	following	follow	VERB
ejpam-5545	168	20	result	result	NOUN
ejpam-5545	168	21	.	.	PUNCT
ejpam-5545	169	1	theorem	theorem	NOUN
ejpam-5545	169	2	1	1	NUM
ejpam-5545	169	3	.	.	PUNCT
ejpam-5545	170	1	[	[	X
ejpam-5545	170	2	40	40	NUM
ejpam-5545	170	3	]	]	PUNCT
ejpam-5545	170	4	a	a	DET
ejpam-5545	170	5	relation	relation	NOUN
ejpam-5545	170	6	θ	θ	PROPN
ejpam-5545	170	7	forms	form	VERB
ejpam-5545	170	8	the	the	DET
ejpam-5545	170	9	following	follow	VERB
ejpam-5545	170	10	topology	topology	NOUN
ejpam-5545	170	11	on	on	ADP
ejpam-5545	170	12	s	s	PRON
ejpam-5545	170	13	:	:	PUNCT
ejpam-5545	170	14	tr	tr	VERB
ejpam-5545	170	15	=	=	SYM
ejpam-5545	170	16	{	{	PUNCT
ejpam-5545	170	17	i	i	NOUN
ejpam-5545	170	18	⊆	⊆	NUM
ejpam-5545	170	19	s	s	VERB
ejpam-5545	170	20	:	:	PUNCT
ejpam-5545	170	21	℧	℧	ADP
ejpam-5545	170	22	r	r	NOUN
ejpam-5545	170	23	(	(	PUNCT
ejpam-5545	170	24	s	s	NOUN
ejpam-5545	170	25	)	)	PUNCT
ejpam-5545	170	26	⊆	⊆	NUM
ejpam-5545	170	27	i	i	PROPN
ejpam-5545	170	28	,	,	PUNCT
ejpam-5545	170	29	∀s	∀s	PROPN
ejpam-5545	170	30	∈	∈	PROPN
ejpam-5545	170	31	s	s	PART
ejpam-5545	170	32	}	}	PUNCT
ejpam-5545	170	33	.	.	PUNCT
ejpam-5545	171	1	definition	definition	NOUN
ejpam-5545	171	2	4	4	NUM
ejpam-5545	171	3	.	.	PUNCT
ejpam-5545	172	1	[	[	X
ejpam-5545	172	2	40	40	NUM
ejpam-5545	172	3	]	]	PUNCT
ejpam-5545	172	4	suppose	suppose	VERB
ejpam-5545	172	5	that	that	SCONJ
ejpam-5545	172	6	tr	tr	PRON
ejpam-5545	172	7	is	be	AUX
ejpam-5545	172	8	the	the	DET
ejpam-5545	172	9	topology	topology	NOUN
ejpam-5545	172	10	created	create	VERB
ejpam-5545	172	11	by	by	ADP
ejpam-5545	172	12	θ	θ	PROPN
ejpam-5545	172	13	on	on	ADP
ejpam-5545	172	14	s	s	PROPN
ejpam-5545	172	15	,	,	PUNCT
ejpam-5545	172	16	the	the	DET
ejpam-5545	172	17	members	member	NOUN
ejpam-5545	172	18	of	of	ADP
ejpam-5545	172	19	tr	tr	VERB
ejpam-5545	172	20	are	be	AUX
ejpam-5545	172	21	termed	term	VERB
ejpam-5545	172	22	r	r	NOUN
ejpam-5545	172	23	-	-	ADJ
ejpam-5545	172	24	open	open	ADJ
ejpam-5545	172	25	sets	set	NOUN
ejpam-5545	172	26	and	and	CCONJ
ejpam-5545	172	27	the	the	DET
ejpam-5545	172	28	complement	complement	NOUN
ejpam-5545	172	29	of	of	ADP
ejpam-5545	172	30	r	r	NOUN
ejpam-5545	172	31	-	-	PUNCT
ejpam-5545	172	32	open	open	ADJ
ejpam-5545	172	33	set	set	NOUN
ejpam-5545	172	34	is	be	AUX
ejpam-5545	172	35	r	r	NOUN
ejpam-5545	172	36	-	-	PUNCT
ejpam-5545	172	37	closed	closed	ADJ
ejpam-5545	172	38	.	.	PUNCT
ejpam-5545	173	1	a	a	DET
ejpam-5545	173	2	collection	collection	NOUN
ejpam-5545	173	3	cr	cr	NOUN
ejpam-5545	173	4	of	of	ADP
ejpam-5545	173	5	all	all	DET
ejpam-5545	173	6	r	r	NOUN
ejpam-5545	173	7	-	-	PUNCT
ejpam-5545	173	8	closed	closed	ADJ
ejpam-5545	173	9	sets	set	NOUN
ejpam-5545	173	10	is	be	AUX
ejpam-5545	173	11	given	give	VERB
ejpam-5545	173	12	as	as	ADP
ejpam-5545	173	13	cr	cr	X
ejpam-5545	173	14	=	=	SYM
ejpam-5545	173	15	{	{	PUNCT
ejpam-5545	173	16	j	j	NOUN
ejpam-5545	173	17	⊆	⊆	NUM
ejpam-5545	173	18	s	s	VERB
ejpam-5545	173	19	:	:	PUNCT
ejpam-5545	173	20	j	j	PROPN
ejpam-5545	173	21	c	c	PROPN
ejpam-5545	173	22	∈	∈	PROPN
ejpam-5545	173	23	tr	tr	VERB
ejpam-5545	173	24	}	}	PUNCT
ejpam-5545	173	25	.	.	PUNCT
ejpam-5545	174	1	by	by	ADP
ejpam-5545	174	2	using	use	VERB
ejpam-5545	174	3	the	the	DET
ejpam-5545	174	4	topological	topological	ADJ
ejpam-5545	174	5	structures	structure	NOUN
ejpam-5545	174	6	in	in	ADP
ejpam-5545	174	7	definition	definition	NOUN
ejpam-5545	174	8	4	4	NUM
ejpam-5545	174	9	,	,	PUNCT
ejpam-5545	174	10	abd	abd	PROPN
ejpam-5545	174	11	el	el	PROPN
ejpam-5545	174	12	-	-	PROPN
ejpam-5545	174	13	monsef	monsef	PROPN
ejpam-5545	174	14	et	et	PROPN
ejpam-5545	174	15	al	al	PROPN
ejpam-5545	174	16	.	.	PROPN
ejpam-5545	174	17	provided	provide	VERB
ejpam-5545	174	18	interesting	interesting	ADJ
ejpam-5545	174	19	rough	rough	ADJ
ejpam-5545	174	20	approximations	approximation	NOUN
ejpam-5545	174	21	given	give	VERB
ejpam-5545	174	22	by	by	ADP
ejpam-5545	174	23	the	the	DET
ejpam-5545	174	24	following	follow	VERB
ejpam-5545	174	25	definition	definition	NOUN
ejpam-5545	174	26	.	.	PUNCT
ejpam-5545	175	1	definition	definition	NOUN
ejpam-5545	175	2	5	5	NUM
ejpam-5545	175	3	.	.	PUNCT
ejpam-5545	176	1	[	[	X
ejpam-5545	176	2	40	40	NUM
ejpam-5545	176	3	]	]	PUNCT
ejpam-5545	176	4	suppose	suppose	VERB
ejpam-5545	176	5	that	that	SCONJ
ejpam-5545	176	6	tr	tr	PRON
ejpam-5545	176	7	is	be	AUX
ejpam-5545	176	8	the	the	DET
ejpam-5545	176	9	topology	topology	NOUN
ejpam-5545	176	10	created	create	VERB
ejpam-5545	176	11	by	by	ADP
ejpam-5545	176	12	θ	θ	PROPN
ejpam-5545	176	13	on	on	ADP
ejpam-5545	176	14	s.	s.	PROPN
ejpam-5545	176	15	the	the	DET
ejpam-5545	176	16	tr	tr	VERB
ejpam-5545	176	17	-	-	PUNCT
ejpam-5545	176	18	lower	low	ADJ
ejpam-5545	176	19	(	(	PUNCT
ejpam-5545	176	20	resp	resp	NOUN
ejpam-5545	176	21	.	.	PUNCT
ejpam-5545	177	1	tr	tr	VERB
ejpam-5545	177	2	-	-	ADJ
ejpam-5545	177	3	upper	upper	ADJ
ejpam-5545	177	4	)	)	PUNCT
ejpam-5545	177	5	approximation	approximation	NOUN
ejpam-5545	177	6	,	,	PUNCT
ejpam-5545	177	7	the	the	DET
ejpam-5545	177	8	tr	tr	VERB
ejpam-5545	177	9	-	-	PUNCT
ejpam-5545	177	10	boundary	boundary	ADJ
ejpam-5545	177	11	region	region	NOUN
ejpam-5545	177	12	,	,	PUNCT
ejpam-5545	177	13	and	and	CCONJ
ejpam-5545	177	14	the	the	DET
ejpam-5545	177	15	tr	tr	NOUN
ejpam-5545	177	16	-	-	PUNCT
ejpam-5545	177	17	accuracy	accuracy	NOUN
ejpam-5545	177	18	of	of	ADP
ejpam-5545	177	19	the	the	DET
ejpam-5545	177	20	trapproximations	trapproximation	NOUN
ejpam-5545	177	21	for	for	ADP
ejpam-5545	177	22	i	i	PRON
ejpam-5545	177	23	⊆	⊆	NUM
ejpam-5545	177	24	s	s	NOUN
ejpam-5545	177	25	are	be	AUX
ejpam-5545	177	26	defined	define	VERB
ejpam-5545	177	27	as	as	SCONJ
ejpam-5545	177	28	follows	follow	VERB
ejpam-5545	177	29	:	:	PUNCT
ejpam-5545	178	1	t	t	PROPN
ejpam-5545	178	2	r	r	NOUN
ejpam-5545	178	3	(	(	PUNCT
ejpam-5545	178	4	i	i	NOUN
ejpam-5545	178	5	)	)	PUNCT
ejpam-5545	178	6	=	=	PUNCT
ejpam-5545	179	1	∪{o	∪{o	VERB
ejpam-5545	179	2	∈	∈	PROPN
ejpam-5545	179	3	tr	tr	VERB
ejpam-5545	179	4	:	:	PUNCT
ejpam-5545	179	5	o	o	NOUN
ejpam-5545	179	6	⊆	⊆	NUM
ejpam-5545	179	7	i	i	PROPN
ejpam-5545	179	8	}	}	PUNCT
ejpam-5545	179	9	,	,	PUNCT
ejpam-5545	179	10	t	t	PROPN
ejpam-5545	179	11	r	r	PROPN
ejpam-5545	179	12	(	(	PUNCT
ejpam-5545	179	13	i	i	NOUN
ejpam-5545	179	14	)	)	PUNCT
ejpam-5545	179	15	=	=	PUNCT
ejpam-5545	179	16	∩{d	∩{d	PROPN
ejpam-5545	179	17	∈	∈	PROPN
ejpam-5545	179	18	cr	cr	NOUN
ejpam-5545	179	19	:	:	PUNCT
ejpam-5545	179	20	i	i	PROPN
ejpam-5545	179	21	⊆	⊆	NUM
ejpam-5545	179	22	d	d	NOUN
ejpam-5545	179	23	}	}	PUNCT
ejpam-5545	179	24	,	,	PUNCT
ejpam-5545	179	25	bndtr	bndtr	X
ejpam-5545	179	26	(	(	PUNCT
ejpam-5545	179	27	i	i	NOUN
ejpam-5545	179	28	)	)	PUNCT
ejpam-5545	179	29	=	=	SYM
ejpam-5545	179	30	t	t	NOUN
ejpam-5545	179	31	r	r	NOUN
ejpam-5545	179	32	(	(	PUNCT
ejpam-5545	179	33	i	i	NOUN
ejpam-5545	179	34	)	)	PUNCT
ejpam-5545	180	1	−	−	PROPN
ejpam-5545	180	2	t	t	NOUN
ejpam-5545	180	3	r	r	NOUN
ejpam-5545	180	4	(	(	PUNCT
ejpam-5545	180	5	i	i	NOUN
ejpam-5545	180	6	)	)	PUNCT
ejpam-5545	180	7	,	,	PUNCT
ejpam-5545	180	8	and	and	CCONJ
ejpam-5545	180	9	atr	atr	PROPN
ejpam-5545	180	10	(	(	PUNCT
ejpam-5545	180	11	i	i	NOUN
ejpam-5545	180	12	)	)	PUNCT
ejpam-5545	181	1	=	=	VERB
ejpam-5545	181	2	|t	|t	PROPN
ejpam-5545	181	3	r(i)|	r(i)|	INTJ
ejpam-5545	181	4	|t	|t	PROPN
ejpam-5545	182	1	r(i)|	r(i)|	INTJ
ejpam-5545	182	2	,	,	PUNCT
ejpam-5545	182	3	where	where	SCONJ
ejpam-5545	182	4	∣∣t	∣∣t	NOUN
ejpam-5545	182	5	r	r	NOUN
ejpam-5545	182	6	(	(	PUNCT
ejpam-5545	182	7	i	i	NOUN
ejpam-5545	182	8	)	)	PUNCT
ejpam-5545	182	9	∣∣	∣∣	NUM
ejpam-5545	182	10	̸=	̸=	PROPN
ejpam-5545	182	11	0	0	NUM
ejpam-5545	182	12	.	.	PUNCT
ejpam-5545	183	1	m.	m.	PROPN
ejpam-5545	183	2	k.	k.	PROPN
ejpam-5545	184	1	el	el	PROPN
ejpam-5545	184	2	-	-	PROPN
ejpam-5545	184	3	bably	bably	PROPN
ejpam-5545	184	4	et	et	PROPN
ejpam-5545	184	5	al	al	PROPN
ejpam-5545	184	6	.	.	PUNCT
ejpam-5545	184	7	/	/	SYM
ejpam-5545	184	8	eur	eur	PROPN
ejpam-5545	184	9	.	.	PUNCT
ejpam-5545	185	1	j.	j.	PROPN
ejpam-5545	185	2	pure	pure	PROPN
ejpam-5545	185	3	appl	appl	PROPN
ejpam-5545	185	4	.	.	PROPN
ejpam-5545	185	5	math	math	PROPN
ejpam-5545	185	6	,	,	PUNCT
ejpam-5545	185	7	17	17	NUM
ejpam-5545	185	8	(	(	PUNCT
ejpam-5545	185	9	4	4	NUM
ejpam-5545	185	10	)	)	PUNCT
ejpam-5545	185	11	(	(	PUNCT
ejpam-5545	185	12	2024	2024	NUM
ejpam-5545	185	13	)	)	PUNCT
ejpam-5545	185	14	,	,	PUNCT
ejpam-5545	185	15	3743	3743	NUM
ejpam-5545	185	16	-	-	SYM
ejpam-5545	185	17	3771	3771	NUM
ejpam-5545	185	18	3750	3750	NUM
ejpam-5545	185	19	3	3	NUM
ejpam-5545	185	20	.	.	PUNCT
ejpam-5545	186	1	βb	βb	ADJ
ejpam-5545	186	2	-	-	PUNCT
ejpam-5545	186	3	rough	rough	ADJ
ejpam-5545	186	4	set	set	NOUN
ejpam-5545	186	5	approximations	approximation	NOUN
ejpam-5545	186	6	this	this	DET
ejpam-5545	186	7	section	section	NOUN
ejpam-5545	186	8	introduces	introduce	VERB
ejpam-5545	186	9	novel	novel	ADJ
ejpam-5545	186	10	extensions	extension	NOUN
ejpam-5545	186	11	of	of	ADP
ejpam-5545	186	12	fundamental	fundamental	ADJ
ejpam-5545	186	13	rough	rough	ADJ
ejpam-5545	186	14	sets	set	NOUN
ejpam-5545	186	15	,	,	PUNCT
ejpam-5545	186	16	presenting	present	VERB
ejpam-5545	186	17	alternative	alternative	ADJ
ejpam-5545	186	18	approaches	approach	NOUN
ejpam-5545	186	19	to	to	ADP
ejpam-5545	186	20	approximation	approximation	NOUN
ejpam-5545	186	21	,	,	PUNCT
ejpam-5545	186	22	specifically	specifically	ADV
ejpam-5545	186	23	βb	βb	ADJ
ejpam-5545	186	24	-	-	PUNCT
ejpam-5545	186	25	rough	rough	ADJ
ejpam-5545	186	26	sets	set	NOUN
ejpam-5545	186	27	.	.	PUNCT
ejpam-5545	187	1	these	these	DET
ejpam-5545	187	2	constructions	construction	NOUN
ejpam-5545	187	3	involve	involve	VERB
ejpam-5545	187	4	topological	topological	ADJ
ejpam-5545	187	5	structures	structure	NOUN
ejpam-5545	187	6	rooted	root	VERB
ejpam-5545	187	7	in	in	ADP
ejpam-5545	187	8	related	related	ADJ
ejpam-5545	187	9	concepts	concept	NOUN
ejpam-5545	187	10	,	,	PUNCT
ejpam-5545	187	11	avoiding	avoid	VERB
ejpam-5545	187	12	the	the	DET
ejpam-5545	187	13	need	need	NOUN
ejpam-5545	187	14	for	for	ADP
ejpam-5545	187	15	formal	formal	ADJ
ejpam-5545	187	16	topology	topology	NOUN
ejpam-5545	187	17	.	.	PUNCT
ejpam-5545	188	1	as	as	ADP
ejpam-5545	188	2	a	a	DET
ejpam-5545	188	3	result	result	NOUN
ejpam-5545	188	4	,	,	PUNCT
ejpam-5545	188	5	these	these	DET
ejpam-5545	188	6	methodologies	methodology	NOUN
ejpam-5545	188	7	potentially	potentially	ADV
ejpam-5545	188	8	enhance	enhance	VERB
ejpam-5545	188	9	accessibility	accessibility	NOUN
ejpam-5545	188	10	for	for	ADP
ejpam-5545	188	11	individuals	individual	NOUN
ejpam-5545	188	12	not	not	PART
ejpam-5545	188	13	wellversed	wellverse	VERB
ejpam-5545	188	14	in	in	ADP
ejpam-5545	188	15	specialized	specialized	ADJ
ejpam-5545	188	16	topological	topological	ADJ
ejpam-5545	188	17	theory	theory	NOUN
ejpam-5545	188	18	while	while	SCONJ
ejpam-5545	188	19	broadening	broaden	VERB
ejpam-5545	188	20	the	the	DET
ejpam-5545	188	21	utility	utility	NOUN
ejpam-5545	188	22	of	of	ADP
ejpam-5545	188	23	topological	topological	ADJ
ejpam-5545	188	24	principles	principle	NOUN
ejpam-5545	188	25	across	across	ADP
ejpam-5545	188	26	diverse	diverse	ADJ
ejpam-5545	188	27	scientific	scientific	ADJ
ejpam-5545	188	28	fields	field	NOUN
ejpam-5545	188	29	.	.	PUNCT
ejpam-5545	189	1	the	the	DET
ejpam-5545	189	2	characteristics	characteristic	NOUN
ejpam-5545	189	3	and	and	CCONJ
ejpam-5545	189	4	interconnections	interconnection	NOUN
ejpam-5545	189	5	of	of	ADP
ejpam-5545	189	6	the	the	DET
ejpam-5545	189	7	proposed	propose	VERB
ejpam-5545	189	8	methodologies	methodology	NOUN
ejpam-5545	189	9	are	be	AUX
ejpam-5545	189	10	examined	examine	VERB
ejpam-5545	189	11	through	through	ADP
ejpam-5545	189	12	established	establish	VERB
ejpam-5545	189	13	results	result	NOUN
ejpam-5545	189	14	and	and	CCONJ
ejpam-5545	189	15	illustrative	illustrative	ADJ
ejpam-5545	189	16	examples	example	NOUN
ejpam-5545	189	17	.	.	PUNCT
ejpam-5545	190	1	definition	definition	NOUN
ejpam-5545	190	2	6	6	NUM
ejpam-5545	190	3	.	.	PUNCT
ejpam-5545	191	1	let	let	VERB
ejpam-5545	191	2	θ	θ	NOUN
ejpam-5545	191	3	be	be	AUX
ejpam-5545	191	4	a	a	DET
ejpam-5545	191	5	binary	binary	ADJ
ejpam-5545	191	6	relation	relation	NOUN
ejpam-5545	191	7	on	on	ADP
ejpam-5545	191	8	s.	s.	PROPN
ejpam-5545	191	9	then	then	ADV
ejpam-5545	191	10	,	,	PUNCT
ejpam-5545	191	11	for	for	ADP
ejpam-5545	191	12	each	each	DET
ejpam-5545	191	13	i	i	PRON
ejpam-5545	191	14	⊆	⊆	NUM
ejpam-5545	191	15	s	s	NOUN
ejpam-5545	191	16	,	,	PUNCT
ejpam-5545	191	17	the	the	DET
ejpam-5545	191	18	βblower	βblower	NOUN
ejpam-5545	191	19	and	and	CCONJ
ejpam-5545	191	20	βbupper	βbupper	ADJ
ejpam-5545	191	21	approximations	approximation	NOUN
ejpam-5545	191	22	of	of	ADP
ejpam-5545	191	23	i	i	PRON
ejpam-5545	191	24	are	be	AUX
ejpam-5545	191	25	defined	define	VERB
ejpam-5545	191	26	as	as	SCONJ
ejpam-5545	191	27	follows	follow	VERB
ejpam-5545	191	28	:	:	PUNCT
ejpam-5545	191	29	β	β	PROPN
ejpam-5545	191	30	b	b	X
ejpam-5545	191	31	(	(	PUNCT
ejpam-5545	191	32	i	i	NOUN
ejpam-5545	191	33	)	)	PUNCT
ejpam-5545	191	34	=	=	VERB
ejpam-5545	191	35	i	i	PRON
ejpam-5545	191	36	∩	∩	NOUN
ejpam-5545	191	37	ub[lb	ub[lb	PROPN
ejpam-5545	191	38	(	(	PUNCT
ejpam-5545	191	39	ub	ub	X
ejpam-5545	191	40	(	(	PUNCT
ejpam-5545	191	41	i	i	NOUN
ejpam-5545	191	42	)	)	PUNCT
ejpam-5545	191	43	)	)	PUNCT
ejpam-5545	191	44	]	]	PUNCT
ejpam-5545	191	45	and	and	CCONJ
ejpam-5545	191	46	βb	βb	INTJ
ejpam-5545	191	47	(	(	PUNCT
ejpam-5545	191	48	i	i	NOUN
ejpam-5545	191	49	)	)	PUNCT
ejpam-5545	191	50	=	=	VERB
ejpam-5545	192	1	i	i	PRON
ejpam-5545	192	2	∪	∪	VERB
ejpam-5545	192	3	lb[ub	lb[ub	X
ejpam-5545	192	4	(	(	PUNCT
ejpam-5545	192	5	lb	lb	X
ejpam-5545	192	6	(	(	PUNCT
ejpam-5545	192	7	i	i	NOUN
ejpam-5545	192	8	)	)	PUNCT
ejpam-5545	192	9	)	)	PUNCT
ejpam-5545	192	10	]	]	PUNCT
ejpam-5545	192	11	.	.	PUNCT
ejpam-5545	193	1	the	the	DET
ejpam-5545	193	2	βb	βb	ADJ
ejpam-5545	193	3	-	-	PUNCT
ejpam-5545	193	4	boundary	boundary	ADJ
ejpam-5545	193	5	region	region	NOUN
ejpam-5545	193	6	and	and	CCONJ
ejpam-5545	193	7	βb	βb	ADJ
ejpam-5545	193	8	-	-	PUNCT
ejpam-5545	193	9	accuracy	accuracy	NOUN
ejpam-5545	193	10	of	of	ADP
ejpam-5545	193	11	approximations	approximation	NOUN
ejpam-5545	193	12	are	be	AUX
ejpam-5545	193	13	given	give	VERB
ejpam-5545	193	14	respectively	respectively	ADV
ejpam-5545	193	15	as	as	ADP
ejpam-5545	193	16	:	:	PUNCT
ejpam-5545	193	17	bβ	bβ	NOUN
ejpam-5545	193	18	b	b	PROPN
ejpam-5545	193	19	(	(	PUNCT
ejpam-5545	193	20	i	i	NOUN
ejpam-5545	193	21	)	)	PUNCT
ejpam-5545	193	22	=	=	VERB
ejpam-5545	194	1	βb	βb	INTJ
ejpam-5545	194	2	(	(	PUNCT
ejpam-5545	194	3	i)−	i)−	PROPN
ejpam-5545	194	4	β	β	X
ejpam-5545	194	5	b	b	PROPN
ejpam-5545	194	6	(	(	PUNCT
ejpam-5545	194	7	i	i	NOUN
ejpam-5545	194	8	)	)	PUNCT
ejpam-5545	194	9	and	and	CCONJ
ejpam-5545	194	10	aβb	aβb	VERB
ejpam-5545	194	11	(	(	PUNCT
ejpam-5545	194	12	i	i	NOUN
ejpam-5545	194	13	)	)	PUNCT
ejpam-5545	194	14	=	=	PUNCT
ejpam-5545	194	15	|β	|β	NOUN
ejpam-5545	194	16	b	b	PROPN
ejpam-5545	194	17	(	(	PUNCT
ejpam-5545	194	18	i)|	i)|	INTJ
ejpam-5545	194	19	|βb(i)|	|βb(i)|	NOUN
ejpam-5545	194	20	,	,	PUNCT
ejpam-5545	194	21	such	such	ADJ
ejpam-5545	194	22	that	that	SCONJ
ejpam-5545	194	23	βb	βb	PRON
ejpam-5545	194	24	(	(	PUNCT
ejpam-5545	194	25	i	i	NOUN
ejpam-5545	194	26	)	)	PUNCT
ejpam-5545	194	27	̸=	̸=	PROPN
ejpam-5545	194	28	∅.	∅.	ADP
ejpam-5545	194	29	the	the	DET
ejpam-5545	194	30	above	above	ADJ
ejpam-5545	194	31	operators	operator	NOUN
ejpam-5545	194	32	are	be	AUX
ejpam-5545	194	33	called	call	VERB
ejpam-5545	194	34	β	β	ADJ
ejpam-5545	194	35	-	-	ADJ
ejpam-5545	194	36	basic	basic	ADJ
ejpam-5545	194	37	approximations	approximation	NOUN
ejpam-5545	194	38	(	(	PUNCT
ejpam-5545	194	39	in	in	ADP
ejpam-5545	194	40	briefly	briefly	NOUN
ejpam-5545	194	41	,	,	PUNCT
ejpam-5545	194	42	βbapproximations	βbapproximation	NOUN
ejpam-5545	194	43	)	)	PUNCT
ejpam-5545	195	1	and	and	CCONJ
ejpam-5545	195	2	it	it	PRON
ejpam-5545	195	3	is	be	AUX
ejpam-5545	195	4	clear	clear	ADJ
ejpam-5545	195	5	that	that	SCONJ
ejpam-5545	195	6	0	0	NUM
ejpam-5545	195	7	≤	≤	NUM
ejpam-5545	195	8	aβb	aβb	VERB
ejpam-5545	195	9	(	(	PUNCT
ejpam-5545	195	10	i	i	NOUN
ejpam-5545	195	11	)	)	PUNCT
ejpam-5545	195	12	≤	≤	NUM
ejpam-5545	195	13	1	1	NUM
ejpam-5545	195	14	.	.	PUNCT
ejpam-5545	196	1	if	if	SCONJ
ejpam-5545	196	2	aβb	aβb	VERB
ejpam-5545	196	3	(	(	PUNCT
ejpam-5545	196	4	i	i	NOUN
ejpam-5545	196	5	)	)	PUNCT
ejpam-5545	196	6	=	=	SYM
ejpam-5545	196	7	1	1	NUM
ejpam-5545	196	8	,	,	PUNCT
ejpam-5545	196	9	then	then	ADV
ejpam-5545	196	10	i	i	PRON
ejpam-5545	196	11	is	be	AUX
ejpam-5545	196	12	named	name	VERB
ejpam-5545	196	13	a	a	DET
ejpam-5545	196	14	βb	βb	ADJ
ejpam-5545	196	15	-	-	PUNCT
ejpam-5545	196	16	definable	definable	ADJ
ejpam-5545	196	17	(	(	PUNCT
ejpam-5545	196	18	or	or	CCONJ
ejpam-5545	196	19	βb	βb	ADJ
ejpam-5545	196	20	-	-	PUNCT
ejpam-5545	196	21	exact	exact	ADJ
ejpam-5545	196	22	)	)	PUNCT
ejpam-5545	196	23	set	set	NOUN
ejpam-5545	196	24	.	.	PUNCT
ejpam-5545	197	1	alternatively	alternatively	ADV
ejpam-5545	197	2	,	,	PUNCT
ejpam-5545	197	3	it	it	PRON
ejpam-5545	197	4	is	be	AUX
ejpam-5545	197	5	known	know	VERB
ejpam-5545	197	6	as	as	ADP
ejpam-5545	197	7	βb	βb	ADJ
ejpam-5545	197	8	-	-	PUNCT
ejpam-5545	197	9	rough	rough	ADJ
ejpam-5545	197	10	.	.	PUNCT
ejpam-5545	198	1	the	the	DET
ejpam-5545	198	2	proposition	proposition	NOUN
ejpam-5545	198	3	below	below	ADP
ejpam-5545	198	4	summarizes	summarize	NOUN
ejpam-5545	198	5	some	some	DET
ejpam-5545	198	6	aspects	aspect	NOUN
ejpam-5545	198	7	of	of	ADP
ejpam-5545	198	8	the	the	DET
ejpam-5545	198	9	βb	βb	ADJ
ejpam-5545	198	10	-	-	PUNCT
ejpam-5545	198	11	approximations	approximation	NOUN
ejpam-5545	198	12	.	.	PUNCT
ejpam-5545	199	1	proposition	proposition	NOUN
ejpam-5545	199	2	1	1	NUM
ejpam-5545	199	3	.	.	PUNCT
ejpam-5545	199	4	suppose	suppose	VERB
ejpam-5545	199	5	θ	θ	NOUN
ejpam-5545	199	6	be	be	AUX
ejpam-5545	199	7	a	a	DET
ejpam-5545	199	8	binary	binary	ADJ
ejpam-5545	199	9	relation	relation	NOUN
ejpam-5545	199	10	on	on	ADP
ejpam-5545	199	11	s.	s.	PROPN
ejpam-5545	199	12	then	then	ADV
ejpam-5545	199	13	,	,	PUNCT
ejpam-5545	199	14	for	for	ADP
ejpam-5545	199	15	any	any	DET
ejpam-5545	199	16	i	i	PROPN
ejpam-5545	199	17	,	,	PUNCT
ejpam-5545	199	18	k	k	PROPN
ejpam-5545	199	19	⊆	⊆	NUM
ejpam-5545	199	20	s	s	NOUN
ejpam-5545	199	21	:	:	PUNCT
ejpam-5545	199	22	(	(	PUNCT
ejpam-5545	199	23	1	1	X
ejpam-5545	199	24	)	)	PUNCT
ejpam-5545	199	25	β	β	PROPN
ejpam-5545	199	26	b	b	X
ejpam-5545	199	27	(	(	PUNCT
ejpam-5545	199	28	i	i	NOUN
ejpam-5545	199	29	)	)	PUNCT
ejpam-5545	200	1	⊆	⊆	NUM
ejpam-5545	200	2	i	i	NOUN
ejpam-5545	200	3	⊆	⊆	NUM
ejpam-5545	200	4	βb	βb	PRON
ejpam-5545	200	5	(	(	PUNCT
ejpam-5545	200	6	i	i	NOUN
ejpam-5545	200	7	)	)	PUNCT
ejpam-5545	200	8	.	.	PUNCT
ejpam-5545	201	1	(	(	PUNCT
ejpam-5545	201	2	2	2	X
ejpam-5545	201	3	)	)	PUNCT
ejpam-5545	201	4	β	β	PROPN
ejpam-5545	201	5	b	b	X
ejpam-5545	201	6	(	(	PUNCT
ejpam-5545	201	7	s	s	X
ejpam-5545	201	8	)	)	PUNCT
ejpam-5545	201	9	=	=	SYM
ejpam-5545	201	10	βb	βb	PROPN
ejpam-5545	201	11	(	(	PUNCT
ejpam-5545	201	12	s	s	NOUN
ejpam-5545	201	13	)	)	PUNCT
ejpam-5545	201	14	=	=	SYM
ejpam-5545	201	15	s	s	PROPN
ejpam-5545	201	16	,	,	PUNCT
ejpam-5545	201	17	β	β	PROPN
ejpam-5545	201	18	b	b	X
ejpam-5545	201	19	(	(	PUNCT
ejpam-5545	201	20	∅	∅	NOUN
ejpam-5545	201	21	)	)	PUNCT
ejpam-5545	201	22	=	=	SYM
ejpam-5545	201	23	βb	βb	PRON
ejpam-5545	201	24	(	(	PUNCT
ejpam-5545	201	25	∅	∅	NOUN
ejpam-5545	201	26	)	)	PUNCT
ejpam-5545	201	27	=	=	PUNCT
ejpam-5545	201	28	∅.	∅.	X
ejpam-5545	201	29	(	(	PUNCT
ejpam-5545	201	30	3	3	NUM
ejpam-5545	201	31	)	)	PUNCT
ejpam-5545	201	32	if	if	SCONJ
ejpam-5545	201	33	i	i	PRON
ejpam-5545	201	34	⊆	⊆	NUM
ejpam-5545	201	35	k	k	NOUN
ejpam-5545	201	36	then	then	ADV
ejpam-5545	201	37	β	β	PROPN
ejpam-5545	201	38	b	b	X
ejpam-5545	201	39	(	(	PUNCT
ejpam-5545	201	40	i	i	NOUN
ejpam-5545	201	41	)	)	PUNCT
ejpam-5545	201	42	⊆	⊆	NUM
ejpam-5545	201	43	β	β	SYM
ejpam-5545	201	44	b	b	X
ejpam-5545	201	45	(	(	PUNCT
ejpam-5545	201	46	k	k	NOUN
ejpam-5545	201	47	)	)	PUNCT
ejpam-5545	201	48	.	.	PUNCT
ejpam-5545	202	1	(	(	PUNCT
ejpam-5545	202	2	4	4	X
ejpam-5545	202	3	)	)	PUNCT
ejpam-5545	202	4	if	if	SCONJ
ejpam-5545	202	5	i	i	PRON
ejpam-5545	202	6	⊆	⊆	NUM
ejpam-5545	202	7	k	k	NOUN
ejpam-5545	202	8	,	,	PUNCT
ejpam-5545	202	9	then	then	ADV
ejpam-5545	202	10	βb	βb	PRON
ejpam-5545	202	11	(	(	PUNCT
ejpam-5545	202	12	i	i	NOUN
ejpam-5545	202	13	)	)	PUNCT
ejpam-5545	202	14	⊆	⊆	NUM
ejpam-5545	202	15	βb	βb	DET
ejpam-5545	202	16	(	(	PUNCT
ejpam-5545	202	17	k	k	NOUN
ejpam-5545	202	18	)	)	PUNCT
ejpam-5545	202	19	.	.	PUNCT
ejpam-5545	203	1	(	(	PUNCT
ejpam-5545	203	2	5	5	X
ejpam-5545	203	3	)	)	PUNCT
ejpam-5545	203	4	β	β	PROPN
ejpam-5545	203	5	b	b	X
ejpam-5545	203	6	(	(	PUNCT
ejpam-5545	203	7	i	i	PROPN
ejpam-5545	203	8	∩	∩	X
ejpam-5545	203	9	k	k	NOUN
ejpam-5545	203	10	)	)	PUNCT
ejpam-5545	203	11	=	=	PUNCT
ejpam-5545	204	1	β	β	SYM
ejpam-5545	204	2	b	b	X
ejpam-5545	204	3	(	(	PUNCT
ejpam-5545	204	4	i	i	NOUN
ejpam-5545	204	5	)	)	PUNCT
ejpam-5545	204	6	∩	∩	NOUN
ejpam-5545	204	7	β	β	X
ejpam-5545	204	8	b	b	X
ejpam-5545	204	9	(	(	PUNCT
ejpam-5545	204	10	k	k	NOUN
ejpam-5545	204	11	)	)	PUNCT
ejpam-5545	204	12	.	.	PUNCT
ejpam-5545	205	1	(	(	PUNCT
ejpam-5545	205	2	6	6	X
ejpam-5545	205	3	)	)	PUNCT
ejpam-5545	205	4	βb	βb	INTJ
ejpam-5545	205	5	(	(	PUNCT
ejpam-5545	205	6	i	i	PRON
ejpam-5545	205	7	∪	∪	VERB
ejpam-5545	205	8	k	k	NOUN
ejpam-5545	205	9	)	)	PUNCT
ejpam-5545	205	10	=	=	SYM
ejpam-5545	206	1	βb	βb	INTJ
ejpam-5545	206	2	(	(	PUNCT
ejpam-5545	206	3	i	i	NOUN
ejpam-5545	206	4	)	)	PUNCT
ejpam-5545	206	5	∪	∪	ADP
ejpam-5545	206	6	βb	βb	DET
ejpam-5545	206	7	(	(	PUNCT
ejpam-5545	206	8	k	k	NOUN
ejpam-5545	206	9	)	)	PUNCT
ejpam-5545	206	10	.	.	PUNCT
ejpam-5545	207	1	(	(	PUNCT
ejpam-5545	207	2	7	7	X
ejpam-5545	207	3	)	)	PUNCT
ejpam-5545	207	4	β	β	PROPN
ejpam-5545	207	5	b	b	X
ejpam-5545	207	6	(	(	PUNCT
ejpam-5545	207	7	i	i	PRON
ejpam-5545	207	8	∪	∪	VERB
ejpam-5545	207	9	k	k	X
ejpam-5545	207	10	)	)	PUNCT
ejpam-5545	207	11	⊇	⊇	NOUN
ejpam-5545	207	12	β	β	PROPN
ejpam-5545	207	13	b	b	PROPN
ejpam-5545	207	14	(	(	PUNCT
ejpam-5545	207	15	i	i	NOUN
ejpam-5545	207	16	)	)	PUNCT
ejpam-5545	207	17	∪	∪	ADP
ejpam-5545	207	18	β	β	X
ejpam-5545	207	19	b	b	X
ejpam-5545	207	20	(	(	PUNCT
ejpam-5545	207	21	k	k	NOUN
ejpam-5545	207	22	)	)	PUNCT
ejpam-5545	207	23	.	.	PUNCT
ejpam-5545	208	1	(	(	PUNCT
ejpam-5545	208	2	8)	8)	NUM
ejpam-5545	208	3	βb	βb	PRON
ejpam-5545	208	4	(	(	PUNCT
ejpam-5545	208	5	i	i	PROPN
ejpam-5545	208	6	∩	∩	X
ejpam-5545	208	7	k	k	X
ejpam-5545	208	8	)	)	PUNCT
ejpam-5545	208	9	⊆	⊆	NUM
ejpam-5545	208	10	βb	βb	PRON
ejpam-5545	208	11	(	(	PUNCT
ejpam-5545	208	12	i	i	NOUN
ejpam-5545	208	13	)	)	PUNCT
ejpam-5545	208	14	∩	∩	NOUN
ejpam-5545	208	15	βb	βb	PRON
ejpam-5545	208	16	(	(	PUNCT
ejpam-5545	208	17	k	k	NOUN
ejpam-5545	208	18	)	)	PUNCT
ejpam-5545	208	19	.	.	PUNCT
ejpam-5545	209	1	(	(	PUNCT
ejpam-5545	209	2	9	9	X
ejpam-5545	209	3	)	)	PUNCT
ejpam-5545	209	4	β	β	PROPN
ejpam-5545	209	5	b	b	X
ejpam-5545	209	6	(	(	PUNCT
ejpam-5545	209	7	i	i	NOUN
ejpam-5545	209	8	)	)	PUNCT
ejpam-5545	210	1	=	=	PUNCT
ejpam-5545	210	2	[	[	PUNCT
ejpam-5545	210	3	βb	βb	PROPN
ejpam-5545	210	4	(	(	PUNCT
ejpam-5545	210	5	ic	ic	NUM
ejpam-5545	210	6	)	)	PUNCT
ejpam-5545	210	7	]	]	X
ejpam-5545	210	8	c	c	X
ejpam-5545	210	9	,	,	PUNCT
ejpam-5545	210	10	ic	ic	PROPN
ejpam-5545	210	11	is	be	AUX
ejpam-5545	210	12	the	the	DET
ejpam-5545	210	13	complement	complement	NOUN
ejpam-5545	210	14	of	of	ADP
ejpam-5545	210	15	i.	i.	NOUN
ejpam-5545	210	16	(	(	PUNCT
ejpam-5545	210	17	10	10	NUM
ejpam-5545	210	18	)	)	PUNCT
ejpam-5545	211	1	βb	βb	PROPN
ejpam-5545	211	2	(	(	PUNCT
ejpam-5545	211	3	i	i	NOUN
ejpam-5545	211	4	)	)	PUNCT
ejpam-5545	211	5	=	=	PUNCT
ejpam-5545	212	1	[	[	PUNCT
ejpam-5545	212	2	β	β	X
ejpam-5545	212	3	b	b	X
ejpam-5545	212	4	(	(	PUNCT
ejpam-5545	212	5	ic	ic	PROPN
ejpam-5545	212	6	)	)	PUNCT
ejpam-5545	212	7	]	]	X
ejpam-5545	212	8	c	c	X
ejpam-5545	212	9	.	.	PUNCT
ejpam-5545	213	1	m.	m.	PROPN
ejpam-5545	213	2	k.	k.	PROPN
ejpam-5545	214	1	el	el	PROPN
ejpam-5545	214	2	-	-	PROPN
ejpam-5545	214	3	bably	bably	PROPN
ejpam-5545	214	4	et	et	PROPN
ejpam-5545	214	5	al	al	PROPN
ejpam-5545	214	6	.	.	PUNCT
ejpam-5545	214	7	/	/	SYM
ejpam-5545	214	8	eur	eur	PROPN
ejpam-5545	214	9	.	.	PUNCT
ejpam-5545	215	1	j.	j.	PROPN
ejpam-5545	215	2	pure	pure	PROPN
ejpam-5545	215	3	appl	appl	PROPN
ejpam-5545	215	4	.	.	PROPN
ejpam-5545	215	5	math	math	PROPN
ejpam-5545	215	6	,	,	PUNCT
ejpam-5545	215	7	17	17	NUM
ejpam-5545	215	8	(	(	PUNCT
ejpam-5545	215	9	4	4	NUM
ejpam-5545	215	10	)	)	PUNCT
ejpam-5545	215	11	(	(	PUNCT
ejpam-5545	215	12	2024	2024	NUM
ejpam-5545	215	13	)	)	PUNCT
ejpam-5545	215	14	,	,	PUNCT
ejpam-5545	215	15	3743	3743	NUM
ejpam-5545	215	16	-	-	SYM
ejpam-5545	215	17	3771	3771	NUM
ejpam-5545	215	18	3751	3751	NUM
ejpam-5545	215	19	(	(	PUNCT
ejpam-5545	215	20	11	11	NUM
ejpam-5545	215	21	)	)	PUNCT
ejpam-5545	215	22	β	β	PROPN
ejpam-5545	215	23	b	b	X
ejpam-5545	215	24	(	(	PUNCT
ejpam-5545	215	25	β	β	X
ejpam-5545	215	26	b	b	X
ejpam-5545	215	27	(	(	PUNCT
ejpam-5545	215	28	i	i	NOUN
ejpam-5545	215	29	)	)	PUNCT
ejpam-5545	215	30	)	)	PUNCT
ejpam-5545	216	1	=	=	PUNCT
ejpam-5545	216	2	β	β	X
ejpam-5545	216	3	b	b	X
ejpam-5545	216	4	(	(	PUNCT
ejpam-5545	216	5	i	i	NOUN
ejpam-5545	216	6	)	)	PUNCT
ejpam-5545	216	7	.	.	PUNCT
ejpam-5545	217	1	(	(	PUNCT
ejpam-5545	217	2	12	12	NUM
ejpam-5545	217	3	)	)	PUNCT
ejpam-5545	217	4	βb(βb(i	βb(βb(i	NUM
ejpam-5545	217	5	)	)	PUNCT
ejpam-5545	217	6	)	)	PUNCT
ejpam-5545	218	1	=	=	PUNCT
ejpam-5545	218	2	βb	βb	INTJ
ejpam-5545	218	3	(	(	PUNCT
ejpam-5545	218	4	i	i	NOUN
ejpam-5545	218	5	)	)	PUNCT
ejpam-5545	218	6	.	.	PUNCT
ejpam-5545	219	1	proof	proof	NOUN
ejpam-5545	219	2	.	.	PUNCT
ejpam-5545	220	1	(	(	PUNCT
ejpam-5545	220	2	1	1	X
ejpam-5545	220	3	)	)	PUNCT
ejpam-5545	220	4	and	and	CCONJ
ejpam-5545	220	5	(	(	PUNCT
ejpam-5545	220	6	2	2	NUM
ejpam-5545	220	7	):	):	PUNCT
ejpam-5545	220	8	these	these	PRON
ejpam-5545	220	9	are	be	AUX
ejpam-5545	220	10	clear	clear	ADJ
ejpam-5545	220	11	using	use	VERB
ejpam-5545	220	12	definition	definition	NOUN
ejpam-5545	220	13	6	6	NUM
ejpam-5545	220	14	.	.	PUNCT
ejpam-5545	221	1	(	(	PUNCT
ejpam-5545	221	2	3	3	NUM
ejpam-5545	221	3	)	)	PUNCT
ejpam-5545	221	4	from	from	ADP
ejpam-5545	221	5	[	[	X
ejpam-5545	221	6	8	8	NUM
ejpam-5545	221	7	]	]	PUNCT
ejpam-5545	221	8	,	,	PUNCT
ejpam-5545	221	9	if	if	SCONJ
ejpam-5545	221	10	i	i	PRON
ejpam-5545	221	11	⊆	⊆	NUM
ejpam-5545	221	12	k	k	NOUN
ejpam-5545	221	13	then	then	ADV
ejpam-5545	221	14	lb	lb	INTJ
ejpam-5545	221	15	(	(	PUNCT
ejpam-5545	221	16	i	i	NOUN
ejpam-5545	221	17	)	)	PUNCT
ejpam-5545	221	18	⊆	⊆	NUM
ejpam-5545	221	19	lb	lb	X
ejpam-5545	221	20	(	(	PUNCT
ejpam-5545	221	21	k	k	NOUN
ejpam-5545	221	22	)	)	PUNCT
ejpam-5545	221	23	and	and	CCONJ
ejpam-5545	221	24	ub	ub	INTJ
ejpam-5545	221	25	(	(	PUNCT
ejpam-5545	221	26	i	i	NOUN
ejpam-5545	221	27	)	)	PUNCT
ejpam-5545	221	28	⊆	⊆	NUM
ejpam-5545	221	29	ub	ub	X
ejpam-5545	221	30	(	(	PUNCT
ejpam-5545	221	31	k	k	NOUN
ejpam-5545	221	32	)	)	PUNCT
ejpam-5545	221	33	.	.	PUNCT
ejpam-5545	222	1	consequently	consequently	ADV
ejpam-5545	222	2	,	,	PUNCT
ejpam-5545	222	3	β	β	PROPN
ejpam-5545	222	4	b	b	X
ejpam-5545	222	5	(	(	PUNCT
ejpam-5545	222	6	i	i	NOUN
ejpam-5545	222	7	)	)	PUNCT
ejpam-5545	223	1	=	=	VERB
ejpam-5545	223	2	i	i	PRON
ejpam-5545	223	3	∩	∩	NOUN
ejpam-5545	223	4	ub[lb	ub[lb	PROPN
ejpam-5545	223	5	(	(	PUNCT
ejpam-5545	223	6	ub	ub	X
ejpam-5545	223	7	(	(	PUNCT
ejpam-5545	223	8	i	i	NOUN
ejpam-5545	223	9	)	)	PUNCT
ejpam-5545	223	10	)	)	PUNCT
ejpam-5545	223	11	]	]	PUNCT
ejpam-5545	224	1	⊆	⊆	NUM
ejpam-5545	224	2	k	k	X
ejpam-5545	224	3	∩	∩	X
ejpam-5545	224	4	ub[lb	ub[lb	PROPN
ejpam-5545	224	5	(	(	PUNCT
ejpam-5545	224	6	ub	ub	X
ejpam-5545	224	7	(	(	PUNCT
ejpam-5545	224	8	k	k	NOUN
ejpam-5545	224	9	)	)	PUNCT
ejpam-5545	224	10	)	)	PUNCT
ejpam-5545	224	11	]	]	PUNCT
ejpam-5545	225	1	=	=	PUNCT
ejpam-5545	225	2	β	β	SYM
ejpam-5545	225	3	b	b	X
ejpam-5545	225	4	(	(	PUNCT
ejpam-5545	225	5	k	k	NOUN
ejpam-5545	225	6	)	)	PUNCT
ejpam-5545	225	7	.	.	PUNCT
ejpam-5545	226	1	(	(	PUNCT
ejpam-5545	226	2	4	4	X
ejpam-5545	226	3	)	)	PUNCT
ejpam-5545	226	4	by	by	ADP
ejpam-5545	226	5	using	use	VERB
ejpam-5545	226	6	the	the	DET
ejpam-5545	226	7	same	same	ADJ
ejpam-5545	226	8	method	method	NOUN
ejpam-5545	226	9	of	of	ADP
ejpam-5545	226	10	(	(	PUNCT
ejpam-5545	226	11	3	3	NUM
ejpam-5545	226	12	)	)	PUNCT
ejpam-5545	226	13	.	.	PUNCT
ejpam-5545	227	1	(	(	PUNCT
ejpam-5545	227	2	5	5	X
ejpam-5545	227	3	)	)	PUNCT
ejpam-5545	227	4	first	first	ADV
ejpam-5545	227	5	,	,	PUNCT
ejpam-5545	227	6	since	since	SCONJ
ejpam-5545	227	7	i	i	PRON
ejpam-5545	227	8	∩	∩	NOUN
ejpam-5545	227	9	k	k	PROPN
ejpam-5545	227	10	⊆	⊆	NUM
ejpam-5545	227	11	i	i	PROPN
ejpam-5545	227	12	and	and	CCONJ
ejpam-5545	227	13	i	i	PROPN
ejpam-5545	227	14	∩	∩	NOUN
ejpam-5545	227	15	k	k	PROPN
ejpam-5545	227	16	⊆	⊆	NUM
ejpam-5545	227	17	k.	k.	PROPN
ejpam-5545	227	18	then	then	ADV
ejpam-5545	227	19	,	,	PUNCT
ejpam-5545	227	20	by	by	ADP
ejpam-5545	227	21	(	(	PUNCT
ejpam-5545	227	22	3	3	NUM
ejpam-5545	227	23	)	)	PUNCT
ejpam-5545	227	24	,	,	PUNCT
ejpam-5545	227	25	β	β	PROPN
ejpam-5545	227	26	b	b	X
ejpam-5545	227	27	(	(	PUNCT
ejpam-5545	227	28	i	i	PROPN
ejpam-5545	227	29	∩	∩	X
ejpam-5545	227	30	k	k	X
ejpam-5545	227	31	)	)	PUNCT
ejpam-5545	227	32	⊆	⊆	NUM
ejpam-5545	227	33	β	β	SYM
ejpam-5545	227	34	b	b	X
ejpam-5545	227	35	(	(	PUNCT
ejpam-5545	227	36	i	i	NOUN
ejpam-5545	227	37	)	)	PUNCT
ejpam-5545	227	38	∩	∩	NOUN
ejpam-5545	227	39	β	β	X
ejpam-5545	227	40	b	b	X
ejpam-5545	227	41	(	(	PUNCT
ejpam-5545	227	42	k	k	NOUN
ejpam-5545	227	43	)	)	PUNCT
ejpam-5545	227	44	.	.	PUNCT
ejpam-5545	228	1	now	now	ADV
ejpam-5545	228	2	,	,	PUNCT
ejpam-5545	228	3	let	let	VERB
ejpam-5545	228	4	s	s	PRON
ejpam-5545	228	5	∈	∈	VERB
ejpam-5545	228	6	[	[	X
ejpam-5545	228	7	β	β	X
ejpam-5545	228	8	b	b	X
ejpam-5545	228	9	(	(	PUNCT
ejpam-5545	228	10	i	i	NOUN
ejpam-5545	228	11	)	)	PUNCT
ejpam-5545	228	12	∩	∩	NOUN
ejpam-5545	228	13	β	β	X
ejpam-5545	228	14	b	b	X
ejpam-5545	228	15	(	(	PUNCT
ejpam-5545	228	16	k	k	NOUN
ejpam-5545	228	17	)	)	PUNCT
ejpam-5545	228	18	]	]	PUNCT
ejpam-5545	228	19	.	.	PUNCT
ejpam-5545	229	1	then	then	ADV
ejpam-5545	229	2	s	s	VERB
ejpam-5545	229	3	∈	∈	PROPN
ejpam-5545	229	4	β	β	X
ejpam-5545	229	5	b	b	X
ejpam-5545	229	6	(	(	PUNCT
ejpam-5545	229	7	i	i	NOUN
ejpam-5545	229	8	)	)	PUNCT
ejpam-5545	229	9	and	and	CCONJ
ejpam-5545	229	10	s	s	AUX
ejpam-5545	229	11	∈	∈	PROPN
ejpam-5545	229	12	β	β	X
ejpam-5545	229	13	b	b	X
ejpam-5545	229	14	(	(	PUNCT
ejpam-5545	229	15	k	k	NOUN
ejpam-5545	229	16	)	)	PUNCT
ejpam-5545	229	17	which	which	PRON
ejpam-5545	229	18	shows	show	VERB
ejpam-5545	229	19	s	s	PRON
ejpam-5545	229	20	∈	∈	PROPN
ejpam-5545	230	1	[	[	X
ejpam-5545	230	2	i	i	NOUN
ejpam-5545	230	3	∩	∩	NOUN
ejpam-5545	230	4	ub[lb	ub[lb	PROPN
ejpam-5545	230	5	(	(	PUNCT
ejpam-5545	230	6	ub	ub	X
ejpam-5545	230	7	(	(	PUNCT
ejpam-5545	230	8	i	i	NOUN
ejpam-5545	230	9	)	)	PUNCT
ejpam-5545	230	10	)	)	PUNCT
ejpam-5545	230	11	]	]	PUNCT
ejpam-5545	230	12	]	]	PUNCT
ejpam-5545	230	13	and	and	CCONJ
ejpam-5545	230	14	s	s	X
ejpam-5545	230	15	∈	∈	PROPN
ejpam-5545	231	1	[	[	X
ejpam-5545	231	2	k	k	X
ejpam-5545	231	3	∩	∩	X
ejpam-5545	231	4	ub[lb	ub[lb	PROPN
ejpam-5545	231	5	(	(	PUNCT
ejpam-5545	231	6	ub	ub	X
ejpam-5545	231	7	(	(	PUNCT
ejpam-5545	231	8	k	k	NOUN
ejpam-5545	231	9	)	)	PUNCT
ejpam-5545	231	10	)	)	PUNCT
ejpam-5545	232	1	]	]	PUNCT
ejpam-5545	232	2	]	]	PUNCT
ejpam-5545	232	3	.	.	PUNCT
ejpam-5545	233	1	accordingly	accordingly	ADV
ejpam-5545	233	2	,	,	PUNCT
ejpam-5545	233	3	by	by	ADP
ejpam-5545	233	4	[	[	X
ejpam-5545	233	5	8	8	NUM
ejpam-5545	233	6	]	]	PUNCT
ejpam-5545	233	7	,	,	PUNCT
ejpam-5545	233	8	s	s	VERB
ejpam-5545	233	9	∈	∈	PROPN
ejpam-5545	234	1	[	[	X
ejpam-5545	234	2	(	(	PUNCT
ejpam-5545	234	3	i	i	PROPN
ejpam-5545	234	4	∩	∩	ADJ
ejpam-5545	234	5	k	k	X
ejpam-5545	234	6	)	)	PUNCT
ejpam-5545	234	7	∩	∩	NOUN
ejpam-5545	234	8	ub[lb	ub[lb	PROPN
ejpam-5545	234	9	(	(	PUNCT
ejpam-5545	234	10	ub	ub	INTJ
ejpam-5545	234	11	(	(	PUNCT
ejpam-5545	234	12	i	i	PROPN
ejpam-5545	234	13	∩	∩	X
ejpam-5545	234	14	k	k	NOUN
ejpam-5545	234	15	)	)	PUNCT
ejpam-5545	234	16	)	)	PUNCT
ejpam-5545	234	17	]	]	PUNCT
ejpam-5545	234	18	]	]	PUNCT
ejpam-5545	234	19	=	=	X
ejpam-5545	234	20	β	β	SYM
ejpam-5545	234	21	b	b	X
ejpam-5545	234	22	(	(	PUNCT
ejpam-5545	234	23	i	i	PROPN
ejpam-5545	234	24	∩	∩	X
ejpam-5545	234	25	k	k	NOUN
ejpam-5545	234	26	)	)	PUNCT
ejpam-5545	234	27	.	.	PUNCT
ejpam-5545	235	1	therefore	therefore	ADV
ejpam-5545	235	2	,	,	PUNCT
ejpam-5545	235	3	β	β	PROPN
ejpam-5545	235	4	b	b	X
ejpam-5545	235	5	(	(	PUNCT
ejpam-5545	235	6	i	i	NOUN
ejpam-5545	235	7	)	)	PUNCT
ejpam-5545	235	8	∩	∩	NOUN
ejpam-5545	235	9	β	β	X
ejpam-5545	235	10	b	b	X
ejpam-5545	235	11	(	(	PUNCT
ejpam-5545	235	12	k	k	NOUN
ejpam-5545	235	13	)	)	PUNCT
ejpam-5545	235	14	⊆	⊆	NUM
ejpam-5545	235	15	β	β	SYM
ejpam-5545	235	16	b	b	X
ejpam-5545	235	17	(	(	PUNCT
ejpam-5545	235	18	i	i	PROPN
ejpam-5545	235	19	∩	∩	X
ejpam-5545	235	20	k	k	NOUN
ejpam-5545	235	21	)	)	PUNCT
ejpam-5545	235	22	.	.	PUNCT
ejpam-5545	236	1	(	(	PUNCT
ejpam-5545	236	2	6	6	NUM
ejpam-5545	236	3	)	)	PUNCT
ejpam-5545	236	4	by	by	ADP
ejpam-5545	236	5	using	use	VERB
ejpam-5545	236	6	the	the	DET
ejpam-5545	236	7	same	same	ADJ
ejpam-5545	236	8	method	method	NOUN
ejpam-5545	236	9	of	of	ADP
ejpam-5545	236	10	(	(	PUNCT
ejpam-5545	236	11	5	5	NUM
ejpam-5545	236	12	)	)	PUNCT
ejpam-5545	236	13	.	.	PUNCT
ejpam-5545	237	1	(	(	PUNCT
ejpam-5545	237	2	7	7	NUM
ejpam-5545	237	3	)	)	PUNCT
ejpam-5545	237	4	and	and	CCONJ
ejpam-5545	237	5	(	(	PUNCT
ejpam-5545	237	6	8)	8)	NUM
ejpam-5545	237	7	by	by	ADP
ejpam-5545	237	8	using	use	VERB
ejpam-5545	237	9	the	the	DET
ejpam-5545	237	10	same	same	ADJ
ejpam-5545	237	11	method	method	NOUN
ejpam-5545	237	12	of	of	ADP
ejpam-5545	237	13	(	(	PUNCT
ejpam-5545	237	14	4	4	NUM
ejpam-5545	237	15	)	)	PUNCT
ejpam-5545	237	16	.	.	PUNCT
ejpam-5545	238	1	(	(	PUNCT
ejpam-5545	238	2	9	9	X
ejpam-5545	238	3	)	)	PUNCT
ejpam-5545	239	1	[	[	X
ejpam-5545	239	2	βb	βb	INTJ
ejpam-5545	239	3	(	(	PUNCT
ejpam-5545	239	4	ic	ic	NOUN
ejpam-5545	239	5	)	)	PUNCT
ejpam-5545	239	6	]	]	PUNCT
ejpam-5545	240	1	c	c	NOUN
ejpam-5545	241	1	=	=	PUNCT
ejpam-5545	242	1	[	[	X
ejpam-5545	242	2	ic	ic	X
ejpam-5545	242	3	∪	∪	VERB
ejpam-5545	242	4	[	[	X
ejpam-5545	242	5	lb	lb	X
ejpam-5545	242	6	(	(	PUNCT
ejpam-5545	242	7	ub	ub	INTJ
ejpam-5545	242	8	(	(	PUNCT
ejpam-5545	242	9	lb	lb	PART
ejpam-5545	242	10	(	(	PUNCT
ejpam-5545	242	11	ic)))]]c	ic)))]]c	PROPN
ejpam-5545	242	12	=	=	NOUN
ejpam-5545	242	13	i	i	PRON
ejpam-5545	242	14	∩	∩	VERB
ejpam-5545	242	15	[	[	X
ejpam-5545	242	16	lb	lb	X
ejpam-5545	242	17	(	(	PUNCT
ejpam-5545	242	18	ub	ub	INTJ
ejpam-5545	242	19	(	(	PUNCT
ejpam-5545	242	20	lb	lb	X
ejpam-5545	242	21	(	(	PUNCT
ejpam-5545	242	22	ic)))]c	ic)))]c	NOUN
ejpam-5545	242	23	.	.	PUNCT
ejpam-5545	243	1	since	since	ADV
ejpam-5545	243	2	,	,	PUNCT
ejpam-5545	243	3	from	from	ADP
ejpam-5545	243	4	[	[	X
ejpam-5545	243	5	8	8	NUM
ejpam-5545	243	6	]	]	PUNCT
ejpam-5545	243	7	,	,	PUNCT
ejpam-5545	243	8	(	(	PUNCT
ejpam-5545	243	9	lb	lb	X
ejpam-5545	243	10	(	(	PUNCT
ejpam-5545	243	11	ic))c	ic))c	PROPN
ejpam-5545	243	12	=	=	SYM
ejpam-5545	243	13	ub	ub	PROPN
ejpam-5545	243	14	(	(	PUNCT
ejpam-5545	243	15	i	i	NOUN
ejpam-5545	243	16	)	)	PUNCT
ejpam-5545	243	17	and	and	CCONJ
ejpam-5545	243	18	(	(	PUNCT
ejpam-5545	243	19	ub	ub	INTJ
ejpam-5545	243	20	(	(	PUNCT
ejpam-5545	243	21	ic))c	ic))c	PROPN
ejpam-5545	243	22	=	=	SYM
ejpam-5545	243	23	lb	lb	X
ejpam-5545	243	24	(	(	PUNCT
ejpam-5545	243	25	i	i	NOUN
ejpam-5545	243	26	)	)	PUNCT
ejpam-5545	243	27	.	.	PUNCT
ejpam-5545	244	1	thus	thus	ADV
ejpam-5545	244	2	,	,	PUNCT
ejpam-5545	244	3	we	we	PRON
ejpam-5545	244	4	get	get	VERB
ejpam-5545	244	5	[	[	X
ejpam-5545	244	6	lb	lb	X
ejpam-5545	244	7	(	(	PUNCT
ejpam-5545	244	8	ub	ub	INTJ
ejpam-5545	244	9	(	(	PUNCT
ejpam-5545	244	10	lb	lb	X
ejpam-5545	244	11	(	(	PUNCT
ejpam-5545	244	12	ic)))]c	ic)))]c	NOUN
ejpam-5545	244	13	=	=	SYM
ejpam-5545	244	14	ub	ub	X
ejpam-5545	244	15	(	(	PUNCT
ejpam-5545	244	16	lb	lb	X
ejpam-5545	244	17	(	(	PUNCT
ejpam-5545	244	18	ub	ub	INTJ
ejpam-5545	244	19	(	(	PUNCT
ejpam-5545	244	20	i	i	NOUN
ejpam-5545	244	21	)	)	PUNCT
ejpam-5545	244	22	)	)	PUNCT
ejpam-5545	244	23	)	)	PUNCT
ejpam-5545	244	24	which	which	PRON
ejpam-5545	244	25	implies	imply	VERB
ejpam-5545	244	26	[	[	X
ejpam-5545	244	27	βb	βb	INTJ
ejpam-5545	244	28	(	(	PUNCT
ejpam-5545	244	29	ic	ic	NOUN
ejpam-5545	244	30	)	)	PUNCT
ejpam-5545	244	31	]	]	PUNCT
ejpam-5545	245	1	c	c	NOUN
ejpam-5545	245	2	=	=	PUNCT
ejpam-5545	245	3	β	β	SYM
ejpam-5545	245	4	b	b	X
ejpam-5545	245	5	(	(	PUNCT
ejpam-5545	245	6	i	i	NOUN
ejpam-5545	245	7	)	)	PUNCT
ejpam-5545	245	8	.	.	PUNCT
ejpam-5545	246	1	(	(	PUNCT
ejpam-5545	246	2	10	10	NUM
ejpam-5545	246	3	)	)	PUNCT
ejpam-5545	246	4	by	by	ADP
ejpam-5545	246	5	using	use	VERB
ejpam-5545	246	6	the	the	DET
ejpam-5545	246	7	same	same	ADJ
ejpam-5545	246	8	method	method	NOUN
ejpam-5545	246	9	of	of	ADP
ejpam-5545	246	10	(	(	PUNCT
ejpam-5545	246	11	9	9	NUM
ejpam-5545	246	12	)	)	PUNCT
ejpam-5545	246	13	.	.	PUNCT
ejpam-5545	247	1	(	(	PUNCT
ejpam-5545	247	2	11	11	NUM
ejpam-5545	247	3	)	)	PUNCT
ejpam-5545	247	4	from	from	ADP
ejpam-5545	247	5	(	(	PUNCT
ejpam-5545	247	6	1	1	NUM
ejpam-5545	247	7	)	)	PUNCT
ejpam-5545	247	8	,	,	PUNCT
ejpam-5545	247	9	we	we	PRON
ejpam-5545	247	10	get	get	VERB
ejpam-5545	247	11	β	β	X
ejpam-5545	247	12	b	b	X
ejpam-5545	247	13	(	(	PUNCT
ejpam-5545	247	14	β	β	X
ejpam-5545	247	15	b	b	X
ejpam-5545	247	16	(	(	PUNCT
ejpam-5545	247	17	i	i	NOUN
ejpam-5545	247	18	)	)	PUNCT
ejpam-5545	247	19	)	)	PUNCT
ejpam-5545	248	1	⊆	⊆	NUM
ejpam-5545	248	2	β	β	SYM
ejpam-5545	248	3	b	b	X
ejpam-5545	248	4	(	(	PUNCT
ejpam-5545	248	5	i	i	NOUN
ejpam-5545	248	6	)	)	PUNCT
ejpam-5545	248	7	.	.	PUNCT
ejpam-5545	249	1	now	now	ADV
ejpam-5545	249	2	,	,	PUNCT
ejpam-5545	249	3	let	let	VERB
ejpam-5545	249	4	s	s	PRON
ejpam-5545	249	5	/∈	/∈	VERB
ejpam-5545	249	6	β	β	PROPN
ejpam-5545	249	7	b	b	X
ejpam-5545	249	8	(	(	PUNCT
ejpam-5545	249	9	β	β	X
ejpam-5545	249	10	b	b	X
ejpam-5545	249	11	(	(	PUNCT
ejpam-5545	249	12	i	i	NOUN
ejpam-5545	249	13	)	)	PUNCT
ejpam-5545	249	14	)	)	PUNCT
ejpam-5545	249	15	then	then	ADV
ejpam-5545	249	16	s	s	VERB
ejpam-5545	249	17	/∈	/∈	PUNCT
ejpam-5545	250	1	[	[	PUNCT
ejpam-5545	250	2	β	β	X
ejpam-5545	250	3	b	b	X
ejpam-5545	250	4	(	(	PUNCT
ejpam-5545	250	5	i	i	NOUN
ejpam-5545	250	6	)	)	PUNCT
ejpam-5545	250	7	∩	∩	NOUN
ejpam-5545	250	8	ub	ub	INTJ
ejpam-5545	250	9	(	(	PUNCT
ejpam-5545	250	10	lb	lb	X
ejpam-5545	250	11	(	(	PUNCT
ejpam-5545	250	12	ub	ub	INTJ
ejpam-5545	250	13	(	(	PUNCT
ejpam-5545	250	14	β	β	X
ejpam-5545	250	15	b	b	X
ejpam-5545	250	16	(	(	PUNCT
ejpam-5545	250	17	i	i	NOUN
ejpam-5545	250	18	)	)	PUNCT
ejpam-5545	250	19	)	)	PUNCT
ejpam-5545	250	20	)	)	PUNCT
ejpam-5545	250	21	)	)	PUNCT
ejpam-5545	250	22	]	]	PUNCT
ejpam-5545	250	23	which	which	PRON
ejpam-5545	250	24	means	mean	VERB
ejpam-5545	250	25	that	that	PRON
ejpam-5545	250	26	s	s	VERB
ejpam-5545	250	27	/∈	/∈	NOUN
ejpam-5545	250	28	β	β	PROPN
ejpam-5545	250	29	b	b	X
ejpam-5545	250	30	(	(	PUNCT
ejpam-5545	250	31	i	i	NOUN
ejpam-5545	250	32	)	)	PUNCT
ejpam-5545	250	33	or	or	CCONJ
ejpam-5545	250	34	s	s	VERB
ejpam-5545	250	35	/∈	/∈	INTJ
ejpam-5545	250	36	ub	ub	INTJ
ejpam-5545	250	37	(	(	PUNCT
ejpam-5545	250	38	lb	lb	INTJ
ejpam-5545	250	39	(	(	PUNCT
ejpam-5545	250	40	ub	ub	INTJ
ejpam-5545	250	41	(	(	PUNCT
ejpam-5545	250	42	β	β	X
ejpam-5545	250	43	b	b	X
ejpam-5545	250	44	(	(	PUNCT
ejpam-5545	250	45	i	i	NOUN
ejpam-5545	250	46	)	)	PUNCT
ejpam-5545	250	47	)	)	PUNCT
ejpam-5545	250	48	)	)	PUNCT
ejpam-5545	250	49	)	)	PUNCT
ejpam-5545	250	50	.	.	PUNCT
ejpam-5545	251	1	consequently	consequently	ADV
ejpam-5545	251	2	,	,	PUNCT
ejpam-5545	251	3	℧	℧	PROPN
ejpam-5545	251	4	b	b	X
ejpam-5545	251	5	(	(	PUNCT
ejpam-5545	251	6	s	s	NOUN
ejpam-5545	251	7	)	)	PUNCT
ejpam-5545	251	8	∩	∩	NOUN
ejpam-5545	251	9	β	β	X
ejpam-5545	251	10	b	b	X
ejpam-5545	251	11	(	(	PUNCT
ejpam-5545	251	12	i	i	NOUN
ejpam-5545	251	13	)	)	PUNCT
ejpam-5545	251	14	=	=	NOUN
ejpam-5545	251	15	∅	∅	NOUN
ejpam-5545	251	16	and	and	CCONJ
ejpam-5545	251	17	this	this	PRON
ejpam-5545	251	18	implies	imply	VERB
ejpam-5545	251	19	℧	℧	PROPN
ejpam-5545	251	20	b	b	X
ejpam-5545	251	21	(	(	PUNCT
ejpam-5545	251	22	s	s	NOUN
ejpam-5545	251	23	)	)	PUNCT
ejpam-5545	251	24	⊈	⊈	PROPN
ejpam-5545	252	1	β	β	X
ejpam-5545	252	2	b	b	X
ejpam-5545	252	3	(	(	PUNCT
ejpam-5545	252	4	i	i	NOUN
ejpam-5545	252	5	)	)	PUNCT
ejpam-5545	252	6	.	.	PUNCT
ejpam-5545	253	1	therefore	therefore	ADV
ejpam-5545	253	2	,	,	PUNCT
ejpam-5545	253	3	s	s	PART
ejpam-5545	253	4	/∈	/∈	NOUN
ejpam-5545	253	5	β	β	PROPN
ejpam-5545	253	6	b	b	X
ejpam-5545	253	7	(	(	PUNCT
ejpam-5545	253	8	i	i	NOUN
ejpam-5545	253	9	)	)	PUNCT
ejpam-5545	253	10	and	and	CCONJ
ejpam-5545	253	11	hence	hence	ADV
ejpam-5545	253	12	β	β	PROPN
ejpam-5545	253	13	b	b	X
ejpam-5545	253	14	(	(	PUNCT
ejpam-5545	253	15	i	i	NOUN
ejpam-5545	253	16	)	)	PUNCT
ejpam-5545	253	17	⊆	⊆	NUM
ejpam-5545	253	18	β	β	SYM
ejpam-5545	253	19	b	b	X
ejpam-5545	253	20	(	(	PUNCT
ejpam-5545	253	21	β	β	X
ejpam-5545	253	22	b	b	X
ejpam-5545	253	23	(	(	PUNCT
ejpam-5545	253	24	i	i	NOUN
ejpam-5545	253	25	)	)	PUNCT
ejpam-5545	253	26	)	)	PUNCT
ejpam-5545	253	27	.	.	PUNCT
ejpam-5545	254	1	(	(	PUNCT
ejpam-5545	254	2	12	12	NUM
ejpam-5545	254	3	)	)	PUNCT
ejpam-5545	254	4	by	by	ADP
ejpam-5545	254	5	using	use	VERB
ejpam-5545	254	6	the	the	DET
ejpam-5545	254	7	same	same	ADJ
ejpam-5545	254	8	method	method	NOUN
ejpam-5545	254	9	of	of	ADP
ejpam-5545	254	10	(	(	PUNCT
ejpam-5545	254	11	11	11	NUM
ejpam-5545	254	12	)	)	PUNCT
ejpam-5545	254	13	.	.	PUNCT
ejpam-5545	255	1	remark	remark	PROPN
ejpam-5545	255	2	1	1	NUM
ejpam-5545	255	3	.	.	PUNCT
ejpam-5545	256	1	the	the	DET
ejpam-5545	256	2	reverse	reverse	ADJ
ejpam-5545	256	3	relations	relation	NOUN
ejpam-5545	256	4	of	of	ADP
ejpam-5545	256	5	items	item	NOUN
ejpam-5545	256	6	(	(	PUNCT
ejpam-5545	256	7	7	7	NUM
ejpam-5545	256	8	)	)	PUNCT
ejpam-5545	256	9	and	and	CCONJ
ejpam-5545	256	10	(	(	PUNCT
ejpam-5545	256	11	8)	8)	NUM
ejpam-5545	256	12	in	in	ADP
ejpam-5545	256	13	proposition	proposition	NOUN
ejpam-5545	256	14	1	1	NUM
ejpam-5545	256	15	are	be	AUX
ejpam-5545	256	16	generally	generally	ADV
ejpam-5545	256	17	not	not	PART
ejpam-5545	256	18	true	true	ADJ
ejpam-5545	256	19	as	as	SCONJ
ejpam-5545	256	20	shown	show	VERB
ejpam-5545	256	21	in	in	ADP
ejpam-5545	256	22	the	the	DET
ejpam-5545	256	23	next	next	ADJ
ejpam-5545	256	24	example	example	NOUN
ejpam-5545	256	25	.	.	PUNCT
ejpam-5545	257	1	m.	m.	NOUN
ejpam-5545	257	2	k.	k.	PROPN
ejpam-5545	258	1	el	el	PROPN
ejpam-5545	258	2	-	-	PROPN
ejpam-5545	258	3	bably	bably	PROPN
ejpam-5545	258	4	et	et	PROPN
ejpam-5545	258	5	al	al	PROPN
ejpam-5545	258	6	.	.	PUNCT
ejpam-5545	258	7	/	/	SYM
ejpam-5545	258	8	eur	eur	PROPN
ejpam-5545	258	9	.	.	PUNCT
ejpam-5545	259	1	j.	j.	PROPN
ejpam-5545	259	2	pure	pure	PROPN
ejpam-5545	259	3	appl	appl	PROPN
ejpam-5545	259	4	.	.	PROPN
ejpam-5545	259	5	math	math	PROPN
ejpam-5545	259	6	,	,	PUNCT
ejpam-5545	259	7	17	17	NUM
ejpam-5545	259	8	(	(	PUNCT
ejpam-5545	259	9	4	4	NUM
ejpam-5545	259	10	)	)	PUNCT
ejpam-5545	259	11	(	(	PUNCT
ejpam-5545	259	12	2024	2024	NUM
ejpam-5545	259	13	)	)	PUNCT
ejpam-5545	259	14	,	,	PUNCT
ejpam-5545	259	15	3743	3743	NUM
ejpam-5545	259	16	-	-	SYM
ejpam-5545	259	17	3771	3771	NUM
ejpam-5545	259	18	3752	3752	NUM
ejpam-5545	259	19	example	example	NOUN
ejpam-5545	260	1	1	1	NUM
ejpam-5545	260	2	.	.	PUNCT
ejpam-5545	261	1	if	if	SCONJ
ejpam-5545	261	2	s	s	PART
ejpam-5545	261	3	=	=	SYM
ejpam-5545	261	4	{	{	PUNCT
ejpam-5545	261	5	t	t	PROPN
ejpam-5545	261	6	,	,	PUNCT
ejpam-5545	261	7	u	u	NOUN
ejpam-5545	261	8	,	,	PUNCT
ejpam-5545	261	9	v	v	NOUN
ejpam-5545	261	10	,	,	PUNCT
ejpam-5545	261	11	w	w	NOUN
ejpam-5545	261	12	}	}	PUNCT
ejpam-5545	261	13	and	and	CCONJ
ejpam-5545	261	14	θ	θ	NOUN
ejpam-5545	261	15	=	=	SYM
ejpam-5545	261	16	{	{	PUNCT
ejpam-5545	261	17	(	(	PUNCT
ejpam-5545	261	18	t	t	PROPN
ejpam-5545	261	19	,	,	PUNCT
ejpam-5545	261	20	u	u	NOUN
ejpam-5545	261	21	)	)	PUNCT
ejpam-5545	261	22	,	,	PUNCT
ejpam-5545	261	23	(	(	PUNCT
ejpam-5545	261	24	u	u	NOUN
ejpam-5545	261	25	,	,	PUNCT
ejpam-5545	261	26	t	t	PROPN
ejpam-5545	261	27	)	)	PUNCT
ejpam-5545	261	28	,	,	PUNCT
ejpam-5545	261	29	(	(	PUNCT
ejpam-5545	261	30	u	u	NOUN
ejpam-5545	261	31	,	,	PUNCT
ejpam-5545	261	32	v	v	NOUN
ejpam-5545	261	33	)	)	PUNCT
ejpam-5545	261	34	,	,	PUNCT
ejpam-5545	261	35	(	(	PUNCT
ejpam-5545	261	36	v	v	NOUN
ejpam-5545	261	37	,	,	PUNCT
ejpam-5545	261	38	u	u	NOUN
ejpam-5545	261	39	)	)	PUNCT
ejpam-5545	261	40	,	,	PUNCT
ejpam-5545	261	41	(	(	PUNCT
ejpam-5545	261	42	v	v	NOUN
ejpam-5545	261	43	,	,	PUNCT
ejpam-5545	261	44	w	w	NOUN
ejpam-5545	261	45	)	)	PUNCT
ejpam-5545	261	46	,	,	PUNCT
ejpam-5545	261	47	(	(	PUNCT
ejpam-5545	261	48	w	w	NOUN
ejpam-5545	261	49	,	,	PUNCT
ejpam-5545	261	50	v	v	NOUN
ejpam-5545	261	51	)	)	PUNCT
ejpam-5545	261	52	}	}	PUNCT
ejpam-5545	261	53	.	.	PUNCT
ejpam-5545	262	1	thus	thus	ADV
ejpam-5545	262	2	,	,	PUNCT
ejpam-5545	262	3	we	we	PRON
ejpam-5545	262	4	get	get	VERB
ejpam-5545	262	5	℧	℧	PROPN
ejpam-5545	262	6	b	b	X
ejpam-5545	262	7	(	(	PUNCT
ejpam-5545	262	8	t	t	PROPN
ejpam-5545	262	9	)	)	PUNCT
ejpam-5545	262	10	=	=	PRON
ejpam-5545	262	11	{	{	PUNCT
ejpam-5545	262	12	t	t	NOUN
ejpam-5545	262	13	}	}	PUNCT
ejpam-5545	262	14	,	,	PUNCT
ejpam-5545	262	15	℧	℧	PROPN
ejpam-5545	262	16	b	b	X
ejpam-5545	262	17	(	(	PUNCT
ejpam-5545	262	18	u	u	NOUN
ejpam-5545	262	19	)	)	PUNCT
ejpam-5545	262	20	=	=	SYM
ejpam-5545	262	21	{	{	PUNCT
ejpam-5545	262	22	u	u	NOUN
ejpam-5545	262	23	,	,	PUNCT
ejpam-5545	262	24	w	w	NOUN
ejpam-5545	262	25	}	}	PUNCT
ejpam-5545	262	26	,	,	PUNCT
ejpam-5545	262	27	℧	℧	PROPN
ejpam-5545	262	28	b	b	X
ejpam-5545	262	29	(	(	PUNCT
ejpam-5545	262	30	v	v	NOUN
ejpam-5545	262	31	)	)	PUNCT
ejpam-5545	262	32	=	=	SYM
ejpam-5545	262	33	{	{	PUNCT
ejpam-5545	262	34	t	t	PROPN
ejpam-5545	262	35	,	,	PUNCT
ejpam-5545	262	36	v	v	NOUN
ejpam-5545	262	37	}	}	PUNCT
ejpam-5545	262	38	,	,	PUNCT
ejpam-5545	262	39	and	and	CCONJ
ejpam-5545	263	1	℧	℧	PROPN
ejpam-5545	263	2	b	b	PROPN
ejpam-5545	263	3	(	(	PUNCT
ejpam-5545	263	4	w	w	NOUN
ejpam-5545	263	5	)	)	PUNCT
ejpam-5545	263	6	=	=	NOUN
ejpam-5545	263	7	{	{	PUNCT
ejpam-5545	263	8	w	w	NOUN
ejpam-5545	263	9	}	}	PUNCT
ejpam-5545	263	10	.	.	PUNCT
ejpam-5545	264	1	now	now	ADV
ejpam-5545	264	2	,	,	PUNCT
ejpam-5545	264	3	let	let	VERB
ejpam-5545	264	4	i	i	PRON
ejpam-5545	264	5	=	=	SYM
ejpam-5545	264	6	{	{	PUNCT
ejpam-5545	264	7	t	t	PROPN
ejpam-5545	264	8	,	,	PUNCT
ejpam-5545	264	9	u	u	NOUN
ejpam-5545	264	10	}	}	PUNCT
ejpam-5545	264	11	and	and	CCONJ
ejpam-5545	264	12	k	k	PROPN
ejpam-5545	264	13	=	=	PUNCT
ejpam-5545	264	14	{	{	PUNCT
ejpam-5545	264	15	w	w	NOUN
ejpam-5545	264	16	}	}	PUNCT
ejpam-5545	264	17	.	.	PUNCT
ejpam-5545	265	1	consequently	consequently	ADV
ejpam-5545	265	2	,	,	PUNCT
ejpam-5545	265	3	i	i	PROPN
ejpam-5545	265	4	∩	∩	VERB
ejpam-5545	265	5	k	k	NOUN
ejpam-5545	265	6	=	=	NOUN
ejpam-5545	265	7	∅	∅	NOUN
ejpam-5545	265	8	and	and	CCONJ
ejpam-5545	265	9	i	i	PRON
ejpam-5545	265	10	∪	∪	VERB
ejpam-5545	265	11	k	k	X
ejpam-5545	265	12	=	=	SYM
ejpam-5545	265	13	{	{	PUNCT
ejpam-5545	265	14	t	t	PROPN
ejpam-5545	265	15	,	,	PUNCT
ejpam-5545	265	16	u	u	NOUN
ejpam-5545	265	17	,	,	PUNCT
ejpam-5545	265	18	w	w	PROPN
ejpam-5545	265	19	}	}	PUNCT
ejpam-5545	265	20	which	which	PRON
ejpam-5545	265	21	implies	imply	VERB
ejpam-5545	265	22	β	β	PROPN
ejpam-5545	265	23	b	b	PROPN
ejpam-5545	265	24	(	(	PUNCT
ejpam-5545	265	25	i	i	NOUN
ejpam-5545	265	26	)	)	PUNCT
ejpam-5545	265	27	=	=	PRON
ejpam-5545	265	28	{	{	PUNCT
ejpam-5545	265	29	t	t	PROPN
ejpam-5545	265	30	}	}	PUNCT
ejpam-5545	265	31	,	,	PUNCT
ejpam-5545	265	32	β	β	PROPN
ejpam-5545	265	33	b	b	X
ejpam-5545	265	34	(	(	PUNCT
ejpam-5545	265	35	k	k	NOUN
ejpam-5545	265	36	)	)	PUNCT
ejpam-5545	265	37	=	=	SYM
ejpam-5545	265	38	{	{	PUNCT
ejpam-5545	265	39	w	w	NOUN
ejpam-5545	265	40	}	}	PUNCT
ejpam-5545	265	41	and	and	CCONJ
ejpam-5545	265	42	β	β	X
ejpam-5545	265	43	b	b	X
ejpam-5545	265	44	(	(	PUNCT
ejpam-5545	265	45	i	i	PRON
ejpam-5545	265	46	∪	∪	VERB
ejpam-5545	265	47	k	k	NOUN
ejpam-5545	265	48	)	)	PUNCT
ejpam-5545	265	49	=	=	SYM
ejpam-5545	265	50	{	{	PUNCT
ejpam-5545	265	51	t	t	PROPN
ejpam-5545	265	52	,	,	PUNCT
ejpam-5545	265	53	u	u	NOUN
ejpam-5545	265	54	,	,	PUNCT
ejpam-5545	265	55	w	w	NOUN
ejpam-5545	265	56	}	}	PUNCT
ejpam-5545	265	57	.	.	PUNCT
ejpam-5545	266	1	it	it	PRON
ejpam-5545	266	2	is	be	AUX
ejpam-5545	266	3	clear	clear	ADJ
ejpam-5545	266	4	that	that	SCONJ
ejpam-5545	266	5	β	β	PROPN
ejpam-5545	266	6	b	b	X
ejpam-5545	266	7	(	(	PUNCT
ejpam-5545	266	8	i	i	NOUN
ejpam-5545	266	9	)	)	PUNCT
ejpam-5545	266	10	∪	∪	ADP
ejpam-5545	266	11	β	β	X
ejpam-5545	266	12	b	b	X
ejpam-5545	266	13	(	(	PUNCT
ejpam-5545	266	14	k	k	NOUN
ejpam-5545	266	15	)	)	PUNCT
ejpam-5545	266	16	=	=	SYM
ejpam-5545	266	17	{	{	PUNCT
ejpam-5545	266	18	t	t	PROPN
ejpam-5545	266	19	,	,	PUNCT
ejpam-5545	266	20	w	w	NOUN
ejpam-5545	266	21	}	}	PUNCT
ejpam-5545	266	22	,	,	PUNCT
ejpam-5545	266	23	and	and	CCONJ
ejpam-5545	266	24	this	this	PRON
ejpam-5545	266	25	means	mean	VERB
ejpam-5545	266	26	that	that	SCONJ
ejpam-5545	266	27	β	β	PROPN
ejpam-5545	266	28	b	b	X
ejpam-5545	266	29	(	(	PUNCT
ejpam-5545	266	30	i	i	NOUN
ejpam-5545	266	31	)	)	PUNCT
ejpam-5545	266	32	∪	∪	ADP
ejpam-5545	266	33	β	β	X
ejpam-5545	266	34	b	b	PROPN
ejpam-5545	266	35	(	(	PUNCT
ejpam-5545	266	36	k	k	NOUN
ejpam-5545	266	37	)	)	PUNCT
ejpam-5545	266	38	⊊	⊊	VERB
ejpam-5545	266	39	β	β	PROPN
ejpam-5545	266	40	b	b	PROPN
ejpam-5545	266	41	(	(	PUNCT
ejpam-5545	266	42	i	i	PRON
ejpam-5545	266	43	∪	∪	VERB
ejpam-5545	266	44	k	k	NOUN
ejpam-5545	266	45	)	)	PUNCT
ejpam-5545	266	46	.	.	PUNCT
ejpam-5545	267	1	similarly	similarly	ADV
ejpam-5545	267	2	,	,	PUNCT
ejpam-5545	267	3	βb	βb	INTJ
ejpam-5545	267	4	(	(	PUNCT
ejpam-5545	267	5	i	i	NOUN
ejpam-5545	267	6	)	)	PUNCT
ejpam-5545	267	7	=	=	PRON
ejpam-5545	267	8	{	{	PUNCT
ejpam-5545	267	9	t	t	PROPN
ejpam-5545	267	10	,	,	PUNCT
ejpam-5545	267	11	u	u	NOUN
ejpam-5545	267	12	,	,	PUNCT
ejpam-5545	267	13	v	v	NOUN
ejpam-5545	267	14	}	}	PUNCT
ejpam-5545	267	15	,	,	PUNCT
ejpam-5545	267	16	βb	βb	PRON
ejpam-5545	267	17	(	(	PUNCT
ejpam-5545	267	18	k	k	NOUN
ejpam-5545	267	19	)	)	PUNCT
ejpam-5545	267	20	=	=	SYM
ejpam-5545	267	21	{	{	PUNCT
ejpam-5545	267	22	u	u	NOUN
ejpam-5545	267	23	,	,	PUNCT
ejpam-5545	267	24	w	w	NOUN
ejpam-5545	267	25	}	}	PUNCT
ejpam-5545	267	26	and	and	CCONJ
ejpam-5545	267	27	βb	βb	INTJ
ejpam-5545	267	28	(	(	PUNCT
ejpam-5545	267	29	i	i	PROPN
ejpam-5545	267	30	∩	∩	X
ejpam-5545	267	31	k	k	NOUN
ejpam-5545	267	32	)	)	PUNCT
ejpam-5545	267	33	=	=	PUNCT
ejpam-5545	267	34	∅.	∅.	VERB
ejpam-5545	267	35	clearly	clearly	ADV
ejpam-5545	267	36	,	,	PUNCT
ejpam-5545	267	37	βb	βb	INTJ
ejpam-5545	267	38	(	(	PUNCT
ejpam-5545	267	39	i	i	PROPN
ejpam-5545	267	40	∩	∩	X
ejpam-5545	267	41	k	k	NOUN
ejpam-5545	267	42	)	)	PUNCT
ejpam-5545	267	43	⊊	⊊	VERB
ejpam-5545	267	44	βb	βb	INTJ
ejpam-5545	267	45	(	(	PUNCT
ejpam-5545	267	46	i	i	NOUN
ejpam-5545	267	47	)	)	PUNCT
ejpam-5545	267	48	∩	∩	NOUN
ejpam-5545	267	49	βb	βb	PRON
ejpam-5545	267	50	(	(	PUNCT
ejpam-5545	267	51	k	k	NOUN
ejpam-5545	267	52	)	)	PUNCT
ejpam-5545	267	53	.	.	PUNCT
ejpam-5545	268	1	4	4	X
ejpam-5545	268	2	.	.	X
ejpam-5545	268	3	comparisons	comparison	NOUN
ejpam-5545	268	4	between	between	ADP
ejpam-5545	268	5	βb	βb	NOUN
ejpam-5545	268	6	-	-	PUNCT
ejpam-5545	268	7	approaches	approach	NOUN
ejpam-5545	268	8	and	and	CCONJ
ejpam-5545	268	9	the	the	DET
ejpam-5545	268	10	preceding	precede	VERB
ejpam-5545	268	11	methods	method	NOUN
ejpam-5545	268	12	this	this	DET
ejpam-5545	268	13	section	section	NOUN
ejpam-5545	268	14	is	be	AUX
ejpam-5545	268	15	dedicated	dedicate	VERB
ejpam-5545	268	16	to	to	ADP
ejpam-5545	268	17	conducting	conduct	VERB
ejpam-5545	268	18	comprehensive	comprehensive	ADJ
ejpam-5545	268	19	comparisons	comparison	NOUN
ejpam-5545	268	20	between	between	ADP
ejpam-5545	268	21	the	the	DET
ejpam-5545	268	22	methods	method	NOUN
ejpam-5545	268	23	proposed	propose	VERB
ejpam-5545	268	24	in	in	ADP
ejpam-5545	268	25	this	this	DET
ejpam-5545	268	26	manuscript	manuscript	NOUN
ejpam-5545	268	27	and	and	CCONJ
ejpam-5545	268	28	previous	previous	ADJ
ejpam-5545	268	29	works	work	NOUN
ejpam-5545	268	30	,	,	PUNCT
ejpam-5545	268	31	particularly	particularly	ADV
ejpam-5545	268	32	those	those	PRON
ejpam-5545	268	33	of	of	ADP
ejpam-5545	268	34	yao	yao	NOUN
ejpam-5545	269	1	[	[	X
ejpam-5545	269	2	65	65	NUM
ejpam-5545	269	3	]	]	PUNCT
ejpam-5545	269	4	,	,	PUNCT
ejpam-5545	269	5	dai	dai	PROPN
ejpam-5545	269	6	et	et	PROPN
ejpam-5545	269	7	al	al	PROPN
ejpam-5545	269	8	.	.	PUNCT
ejpam-5545	270	1	[	[	X
ejpam-5545	270	2	27	27	NUM
ejpam-5545	270	3	]	]	PUNCT
ejpam-5545	270	4	,	,	PUNCT
ejpam-5545	270	5	abd	abd	PROPN
ejpam-5545	270	6	el	el	PROPN
ejpam-5545	270	7	-	-	PROPN
ejpam-5545	270	8	monsef	monsef	PROPN
ejpam-5545	270	9	et	et	PROPN
ejpam-5545	270	10	al	al	PROPN
ejpam-5545	270	11	.	.	PUNCT
ejpam-5545	271	1	[	[	X
ejpam-5545	271	2	40	40	NUM
ejpam-5545	271	3	]	]	PUNCT
ejpam-5545	271	4	,	,	PUNCT
ejpam-5545	271	5	and	and	CCONJ
ejpam-5545	271	6	abu	abu	PROPN
ejpam-5545	271	7	-	-	PUNCT
ejpam-5545	271	8	gadairi	gadairi	PROPN
ejpam-5545	271	9	[	[	X
ejpam-5545	271	10	8	8	NUM
ejpam-5545	271	11	]	]	PUNCT
ejpam-5545	271	12	.	.	PUNCT
ejpam-5545	272	1	by	by	ADP
ejpam-5545	272	2	utilizing	utilize	VERB
ejpam-5545	272	3	well	well	ADV
ejpam-5545	272	4	-	-	PUNCT
ejpam-5545	272	5	known	know	VERB
ejpam-5545	272	6	results	result	NOUN
ejpam-5545	272	7	and	and	CCONJ
ejpam-5545	272	8	counterexamples	counterexample	NOUN
ejpam-5545	272	9	,	,	PUNCT
ejpam-5545	272	10	we	we	PRON
ejpam-5545	272	11	critically	critically	ADV
ejpam-5545	272	12	assess	assess	VERB
ejpam-5545	272	13	and	and	CCONJ
ejpam-5545	272	14	contrast	contrast	VERB
ejpam-5545	272	15	the	the	DET
ejpam-5545	272	16	effectiveness	effectiveness	NOUN
ejpam-5545	272	17	and	and	CCONJ
ejpam-5545	272	18	applicability	applicability	NOUN
ejpam-5545	272	19	of	of	ADP
ejpam-5545	272	20	these	these	DET
ejpam-5545	272	21	approaches	approach	NOUN
ejpam-5545	272	22	.	.	PUNCT
ejpam-5545	273	1	our	our	PRON
ejpam-5545	273	2	objective	objective	NOUN
ejpam-5545	273	3	is	be	AUX
ejpam-5545	273	4	to	to	PART
ejpam-5545	273	5	demonstrate	demonstrate	VERB
ejpam-5545	273	6	the	the	DET
ejpam-5545	273	7	improved	improved	ADJ
ejpam-5545	273	8	accuracy	accuracy	NOUN
ejpam-5545	273	9	of	of	ADP
ejpam-5545	273	10	the	the	DET
ejpam-5545	273	11	proposed	propose	VERB
ejpam-5545	273	12	approaches	approach	NOUN
ejpam-5545	273	13	compared	compare	VERB
ejpam-5545	273	14	to	to	ADP
ejpam-5545	273	15	earlier	early	ADJ
ejpam-5545	273	16	ones	one	NOUN
ejpam-5545	273	17	.	.	PUNCT
ejpam-5545	274	1	a.	a.	NOUN
ejpam-5545	274	2	comparison	comparison	NOUN
ejpam-5545	274	3	between	between	ADP
ejpam-5545	274	4	abu	abu	PROPN
ejpam-5545	274	5	-	-	PUNCT
ejpam-5545	274	6	gdairi	gdairi	PROPN
ejpam-5545	274	7	technique	technique	NOUN
ejpam-5545	274	8	and	and	CCONJ
ejpam-5545	274	9	the	the	DET
ejpam-5545	274	10	βb	βb	ADJ
ejpam-5545	274	11	-	-	PUNCT
ejpam-5545	274	12	approximations	approximation	NOUN
ejpam-5545	274	13	we	we	PRON
ejpam-5545	274	14	begin	begin	VERB
ejpam-5545	274	15	by	by	ADP
ejpam-5545	274	16	introducing	introduce	VERB
ejpam-5545	274	17	lemma	lemma	PROPN
ejpam-5545	274	18	1	1	NUM
ejpam-5545	274	19	,	,	PUNCT
ejpam-5545	274	20	which	which	PRON
ejpam-5545	274	21	highlights	highlight	VERB
ejpam-5545	274	22	the	the	DET
ejpam-5545	274	23	connections	connection	NOUN
ejpam-5545	274	24	between	between	ADP
ejpam-5545	274	25	the	the	DET
ejpam-5545	274	26	methodology	methodology	NOUN
ejpam-5545	274	27	advocated	advocate	VERB
ejpam-5545	274	28	by	by	ADP
ejpam-5545	274	29	abu	abu	PROPN
ejpam-5545	274	30	-	-	PUNCT
ejpam-5545	274	31	gadairi	gadairi	PROPN
ejpam-5545	274	32	[	[	X
ejpam-5545	274	33	8	8	NUM
ejpam-5545	274	34	]	]	PUNCT
ejpam-5545	274	35	and	and	CCONJ
ejpam-5545	274	36	the	the	DET
ejpam-5545	274	37	proposed	propose	VERB
ejpam-5545	274	38	βb	βb	ADJ
ejpam-5545	274	39	-	-	PUNCT
ejpam-5545	274	40	approximations	approximation	NOUN
ejpam-5545	274	41	.	.	PUNCT
ejpam-5545	275	1	lemma	lemma	PROPN
ejpam-5545	275	2	1	1	NUM
ejpam-5545	275	3	.	.	PUNCT
ejpam-5545	275	4	suppose	suppose	VERB
ejpam-5545	275	5	that	that	SCONJ
ejpam-5545	275	6	θ	θ	PROPN
ejpam-5545	275	7	is	be	AUX
ejpam-5545	275	8	a	a	DET
ejpam-5545	275	9	binary	binary	ADJ
ejpam-5545	275	10	relation	relation	NOUN
ejpam-5545	275	11	on	on	ADP
ejpam-5545	275	12	s.	s.	PROPN
ejpam-5545	275	13	then	then	ADV
ejpam-5545	275	14	,	,	PUNCT
ejpam-5545	275	15	for	for	ADP
ejpam-5545	275	16	each	each	DET
ejpam-5545	275	17	i	i	PRON
ejpam-5545	275	18	⊆	⊆	NUM
ejpam-5545	275	19	s	s	NOUN
ejpam-5545	275	20	,	,	PUNCT
ejpam-5545	275	21	the	the	DET
ejpam-5545	275	22	following	follow	VERB
ejpam-5545	275	23	holds	hold	VERB
ejpam-5545	275	24	:	:	PUNCT
ejpam-5545	275	25	(	(	PUNCT
ejpam-5545	275	26	1	1	X
ejpam-5545	275	27	)	)	PUNCT
ejpam-5545	275	28	lb(i	lb(i	NOUN
ejpam-5545	275	29	)	)	PUNCT
ejpam-5545	275	30	⊆	⊆	NUM
ejpam-5545	275	31	lb(ub	lb(ub	NOUN
ejpam-5545	275	32	(	(	PUNCT
ejpam-5545	275	33	i	i	NOUN
ejpam-5545	275	34	)	)	PUNCT
ejpam-5545	275	35	)	)	PUNCT
ejpam-5545	275	36	.	.	PUNCT
ejpam-5545	276	1	(	(	PUNCT
ejpam-5545	276	2	2	2	X
ejpam-5545	276	3	)	)	PUNCT
ejpam-5545	276	4	ub(lb	ub(lb	PROPN
ejpam-5545	276	5	(	(	PUNCT
ejpam-5545	276	6	i	i	NOUN
ejpam-5545	276	7	)	)	PUNCT
ejpam-5545	276	8	)	)	PUNCT
ejpam-5545	277	1	⊆	⊆	NUM
ejpam-5545	277	2	ub	ub	X
ejpam-5545	277	3	(	(	PUNCT
ejpam-5545	277	4	i	i	NOUN
ejpam-5545	277	5	)	)	PUNCT
ejpam-5545	277	6	.	.	PUNCT
ejpam-5545	278	1	proof	proof	NOUN
ejpam-5545	278	2	.	.	PUNCT
ejpam-5545	279	1	the	the	DET
ejpam-5545	279	2	first	first	ADJ
ejpam-5545	279	3	statement	statement	NOUN
ejpam-5545	279	4	will	will	AUX
ejpam-5545	279	5	be	be	AUX
ejpam-5545	279	6	proven	prove	VERB
ejpam-5545	279	7	,	,	PUNCT
ejpam-5545	279	8	and	and	CCONJ
ejpam-5545	279	9	the	the	DET
ejpam-5545	279	10	second	second	ADJ
ejpam-5545	279	11	will	will	AUX
ejpam-5545	279	12	follow	follow	VERB
ejpam-5545	279	13	naturally	naturally	ADV
ejpam-5545	279	14	.	.	PUNCT
ejpam-5545	280	1	according	accord	VERB
ejpam-5545	280	2	to	to	ADP
ejpam-5545	280	3	[	[	X
ejpam-5545	280	4	8	8	NUM
ejpam-5545	280	5	]	]	PUNCT
ejpam-5545	280	6	,	,	PUNCT
ejpam-5545	280	7	lb(i	lb(i	NOUN
ejpam-5545	280	8	)	)	PUNCT
ejpam-5545	280	9	⊆	⊆	NUM
ejpam-5545	280	10	ub	ub	X
ejpam-5545	280	11	(	(	PUNCT
ejpam-5545	280	12	i	i	NOUN
ejpam-5545	280	13	)	)	PUNCT
ejpam-5545	280	14	.	.	PUNCT
ejpam-5545	281	1	consequently	consequently	ADV
ejpam-5545	281	2	,	,	PUNCT
ejpam-5545	281	3	lb(lb(i	lb(lb(i	VERB
ejpam-5545	281	4	)	)	PUNCT
ejpam-5545	281	5	)	)	PUNCT
ejpam-5545	282	1	⊆	⊆	NUM
ejpam-5545	282	2	lb(ub	lb(ub	NOUN
ejpam-5545	282	3	(	(	PUNCT
ejpam-5545	282	4	i	i	NOUN
ejpam-5545	282	5	)	)	PUNCT
ejpam-5545	282	6	)	)	PUNCT
ejpam-5545	282	7	.	.	PUNCT
ejpam-5545	283	1	since	since	SCONJ
ejpam-5545	283	2	lb(lb(i	lb(lb(i	VERB
ejpam-5545	283	3	)	)	PUNCT
ejpam-5545	283	4	)	)	PUNCT
ejpam-5545	283	5	=	=	PUNCT
ejpam-5545	283	6	lb(i	lb(i	NOUN
ejpam-5545	283	7	)	)	PUNCT
ejpam-5545	283	8	as	as	SCONJ
ejpam-5545	283	9	shown	show	VERB
ejpam-5545	283	10	in	in	ADP
ejpam-5545	283	11	[	[	X
ejpam-5545	283	12	21	21	NUM
ejpam-5545	283	13	]	]	PUNCT
ejpam-5545	283	14	,	,	PUNCT
ejpam-5545	283	15	it	it	PRON
ejpam-5545	283	16	follows	follow	VERB
ejpam-5545	283	17	that	that	SCONJ
ejpam-5545	283	18	lb(i	lb(i	NOUN
ejpam-5545	283	19	)	)	PUNCT
ejpam-5545	284	1	⊆	⊆	NUM
ejpam-5545	284	2	lb(ub	lb(ub	NOUN
ejpam-5545	284	3	(	(	PUNCT
ejpam-5545	284	4	i	i	NOUN
ejpam-5545	284	5	)	)	PUNCT
ejpam-5545	284	6	)	)	PUNCT
ejpam-5545	284	7	.	.	PUNCT
ejpam-5545	285	1	theorem	theorem	NOUN
ejpam-5545	285	2	2	2	NUM
ejpam-5545	285	3	.	.	X
ejpam-5545	285	4	consider	consider	VERB
ejpam-5545	285	5	that	that	SCONJ
ejpam-5545	285	6	θ	θ	PROPN
ejpam-5545	285	7	is	be	AUX
ejpam-5545	285	8	a	a	DET
ejpam-5545	285	9	binary	binary	ADJ
ejpam-5545	285	10	relation	relation	NOUN
ejpam-5545	285	11	on	on	ADP
ejpam-5545	285	12	s.	s.	PROPN
ejpam-5545	285	13	then	then	ADV
ejpam-5545	285	14	,	,	PUNCT
ejpam-5545	285	15	for	for	ADP
ejpam-5545	285	16	each	each	DET
ejpam-5545	285	17	i	i	PRON
ejpam-5545	285	18	⊆	⊆	NUM
ejpam-5545	285	19	s	s	NOUN
ejpam-5545	285	20	:	:	PUNCT
ejpam-5545	285	21	lb(i	lb(i	NOUN
ejpam-5545	285	22	)	)	PUNCT
ejpam-5545	285	23	⊆	⊆	NUM
ejpam-5545	285	24	β	β	X
ejpam-5545	285	25	b	b	X
ejpam-5545	285	26	(	(	PUNCT
ejpam-5545	285	27	i	i	NOUN
ejpam-5545	285	28	)	)	PUNCT
ejpam-5545	286	1	⊆	⊆	NUM
ejpam-5545	286	2	i	i	NOUN
ejpam-5545	286	3	⊆	⊆	NUM
ejpam-5545	286	4	βb	βb	PRON
ejpam-5545	286	5	(	(	PUNCT
ejpam-5545	286	6	i	i	NOUN
ejpam-5545	286	7	)	)	PUNCT
ejpam-5545	286	8	⊆	⊆	NUM
ejpam-5545	286	9	ub	ub	X
ejpam-5545	286	10	(	(	PUNCT
ejpam-5545	286	11	i	i	NOUN
ejpam-5545	286	12	)	)	PUNCT
ejpam-5545	286	13	.	.	PUNCT
ejpam-5545	287	1	proof	proof	NOUN
ejpam-5545	287	2	.	.	PUNCT
ejpam-5545	288	1	let	let	VERB
ejpam-5545	288	2	w	w	PROPN
ejpam-5545	288	3	∈	∈	PROPN
ejpam-5545	288	4	lb(i	lb(i	NOUN
ejpam-5545	288	5	)	)	PUNCT
ejpam-5545	288	6	.	.	PUNCT
ejpam-5545	289	1	then	then	ADV
ejpam-5545	289	2	℧	℧	PROPN
ejpam-5545	289	3	b	b	X
ejpam-5545	289	4	(	(	PUNCT
ejpam-5545	289	5	w	w	NOUN
ejpam-5545	289	6	)	)	PUNCT
ejpam-5545	289	7	⊆	⊆	NUM
ejpam-5545	289	8	i	i	PROPN
ejpam-5545	289	9	,	,	PUNCT
ejpam-5545	289	10	implying	imply	VERB
ejpam-5545	289	11	w	w	PRON
ejpam-5545	289	12	∈	∈	PROPN
ejpam-5545	289	13	℧	℧	PROPN
ejpam-5545	289	14	b	b	PROPN
ejpam-5545	289	15	(	(	PUNCT
ejpam-5545	289	16	w	w	NOUN
ejpam-5545	289	17	)	)	PUNCT
ejpam-5545	289	18	,	,	PUNCT
ejpam-5545	289	19	which	which	PRON
ejpam-5545	289	20	means	mean	VERB
ejpam-5545	289	21	w	w	PROPN
ejpam-5545	289	22	∈	∈	PROPN
ejpam-5545	289	23	i.	i.	NOUN
ejpam-5545	289	24	by	by	ADP
ejpam-5545	289	25	lemma	lemma	PROPN
ejpam-5545	289	26	1	1	NUM
ejpam-5545	289	27	,	,	PUNCT
ejpam-5545	289	28	lb(i	lb(i	NOUN
ejpam-5545	289	29	)	)	PUNCT
ejpam-5545	289	30	⊆	⊆	NUM
ejpam-5545	289	31	lb(ub	lb(ub	NOUN
ejpam-5545	289	32	(	(	PUNCT
ejpam-5545	289	33	i	i	NOUN
ejpam-5545	289	34	)	)	PUNCT
ejpam-5545	289	35	)	)	PUNCT
ejpam-5545	289	36	,	,	PUNCT
ejpam-5545	289	37	which	which	PRON
ejpam-5545	289	38	means	mean	VERB
ejpam-5545	289	39	w	w	PROPN
ejpam-5545	289	40	∈	∈	PROPN
ejpam-5545	289	41	ub(lb(ub	ub(lb(ub	PUNCT
ejpam-5545	289	42	(	(	PUNCT
ejpam-5545	289	43	i	i	NOUN
ejpam-5545	289	44	)	)	PUNCT
ejpam-5545	289	45	)	)	PUNCT
ejpam-5545	289	46	)	)	PUNCT
ejpam-5545	289	47	.	.	PUNCT
ejpam-5545	290	1	therefore	therefore	ADV
ejpam-5545	290	2	,	,	PUNCT
ejpam-5545	290	3	w	w	PROPN
ejpam-5545	290	4	∈	∈	PROPN
ejpam-5545	290	5	i	i	NOUN
ejpam-5545	290	6	∩	∩	ADJ
ejpam-5545	290	7	lb(ub	lb(ub	PROPN
ejpam-5545	290	8	(	(	PUNCT
ejpam-5545	290	9	i	i	NOUN
ejpam-5545	290	10	)	)	PUNCT
ejpam-5545	290	11	)	)	PUNCT
ejpam-5545	291	1	=	=	PUNCT
ejpam-5545	291	2	β	β	X
ejpam-5545	291	3	b	b	X
ejpam-5545	291	4	(	(	PUNCT
ejpam-5545	291	5	i	i	PROPN
ejpam-5545	291	6	)	)	PUNCT
ejpam-5545	291	7	,	,	PUNCT
ejpam-5545	291	8	implying	imply	VERB
ejpam-5545	291	9	lb(i	lb(i	NOUN
ejpam-5545	291	10	)	)	PUNCT
ejpam-5545	291	11	⊆	⊆	NUM
ejpam-5545	291	12	β	β	SYM
ejpam-5545	291	13	b	b	X
ejpam-5545	291	14	(	(	PUNCT
ejpam-5545	291	15	i	i	NOUN
ejpam-5545	291	16	)	)	PUNCT
ejpam-5545	291	17	.	.	PUNCT
ejpam-5545	292	1	by	by	ADP
ejpam-5545	292	2	a	a	DET
ejpam-5545	292	3	similar	similar	ADJ
ejpam-5545	292	4	technique	technique	NOUN
ejpam-5545	292	5	,	,	PUNCT
ejpam-5545	292	6	it	it	PRON
ejpam-5545	292	7	is	be	AUX
ejpam-5545	292	8	easy	easy	ADJ
ejpam-5545	292	9	to	to	PART
ejpam-5545	292	10	verify	verify	VERB
ejpam-5545	292	11	that	that	SCONJ
ejpam-5545	292	12	βb	βb	INTJ
ejpam-5545	292	13	(	(	PUNCT
ejpam-5545	292	14	i	i	NOUN
ejpam-5545	292	15	)	)	PUNCT
ejpam-5545	292	16	⊆	⊆	NUM
ejpam-5545	292	17	ub	ub	X
ejpam-5545	292	18	(	(	PUNCT
ejpam-5545	292	19	i	i	NOUN
ejpam-5545	292	20	)	)	PUNCT
ejpam-5545	292	21	.	.	PUNCT
ejpam-5545	293	1	corollary	corollary	ADJ
ejpam-5545	293	2	1	1	NUM
ejpam-5545	293	3	.	.	PUNCT
ejpam-5545	293	4	suppose	suppose	VERB
ejpam-5545	293	5	that	that	SCONJ
ejpam-5545	293	6	θ	θ	PROPN
ejpam-5545	293	7	is	be	AUX
ejpam-5545	293	8	a	a	DET
ejpam-5545	293	9	binary	binary	ADJ
ejpam-5545	293	10	relation	relation	NOUN
ejpam-5545	293	11	on	on	ADP
ejpam-5545	293	12	s.	s.	PROPN
ejpam-5545	293	13	then	then	ADV
ejpam-5545	293	14	,	,	PUNCT
ejpam-5545	293	15	for	for	ADP
ejpam-5545	293	16	each	each	DET
ejpam-5545	293	17	i	i	PRON
ejpam-5545	293	18	⊆	⊆	NUM
ejpam-5545	293	19	s	s	NOUN
ejpam-5545	293	20	:	:	PUNCT
ejpam-5545	293	21	(	(	PUNCT
ejpam-5545	293	22	1	1	X
ejpam-5545	293	23	)	)	PUNCT
ejpam-5545	293	24	bβb	bβb	NOUN
ejpam-5545	293	25	(	(	PUNCT
ejpam-5545	293	26	i	i	NOUN
ejpam-5545	293	27	)	)	PUNCT
ejpam-5545	294	1	⊆	⊆	NUM
ejpam-5545	294	2	bb	bb	INTJ
ejpam-5545	294	3	(	(	PUNCT
ejpam-5545	294	4	i	i	NOUN
ejpam-5545	294	5	)	)	PUNCT
ejpam-5545	294	6	.	.	PUNCT
ejpam-5545	295	1	m.	m.	PROPN
ejpam-5545	295	2	k.	k.	PROPN
ejpam-5545	296	1	el	el	PROPN
ejpam-5545	296	2	-	-	PROPN
ejpam-5545	296	3	bably	bably	PROPN
ejpam-5545	296	4	et	et	PROPN
ejpam-5545	296	5	al	al	PROPN
ejpam-5545	296	6	.	.	PUNCT
ejpam-5545	296	7	/	/	SYM
ejpam-5545	296	8	eur	eur	PROPN
ejpam-5545	296	9	.	.	PUNCT
ejpam-5545	297	1	j.	j.	PROPN
ejpam-5545	297	2	pure	pure	PROPN
ejpam-5545	297	3	appl	appl	PROPN
ejpam-5545	297	4	.	.	PROPN
ejpam-5545	297	5	math	math	PROPN
ejpam-5545	297	6	,	,	PUNCT
ejpam-5545	297	7	17	17	NUM
ejpam-5545	297	8	(	(	PUNCT
ejpam-5545	297	9	4	4	NUM
ejpam-5545	297	10	)	)	PUNCT
ejpam-5545	297	11	(	(	PUNCT
ejpam-5545	297	12	2024	2024	NUM
ejpam-5545	297	13	)	)	PUNCT
ejpam-5545	297	14	,	,	PUNCT
ejpam-5545	297	15	3743	3743	NUM
ejpam-5545	297	16	-	-	SYM
ejpam-5545	297	17	3771	3771	NUM
ejpam-5545	297	18	3753	3753	NUM
ejpam-5545	297	19	(	(	PUNCT
ejpam-5545	297	20	2	2	X
ejpam-5545	297	21	)	)	PUNCT
ejpam-5545	297	22	ab	ab	NOUN
ejpam-5545	297	23	(	(	PUNCT
ejpam-5545	297	24	i	i	NOUN
ejpam-5545	297	25	)	)	PUNCT
ejpam-5545	297	26	≤	≤	NUM
ejpam-5545	297	27	aβb	aβb	VERB
ejpam-5545	297	28	(	(	PUNCT
ejpam-5545	297	29	i	i	NOUN
ejpam-5545	297	30	)	)	PUNCT
ejpam-5545	297	31	.	.	PUNCT
ejpam-5545	298	1	(	(	PUNCT
ejpam-5545	298	2	3	3	X
ejpam-5545	298	3	)	)	PUNCT
ejpam-5545	298	4	the	the	DET
ejpam-5545	298	5	subset	subset	NOUN
ejpam-5545	298	6	i	i	PRON
ejpam-5545	298	7	is	be	AUX
ejpam-5545	298	8	a	a	DET
ejpam-5545	298	9	βb	βb	ADJ
ejpam-5545	298	10	-	-	PUNCT
ejpam-5545	298	11	exact	exact	NOUN
ejpam-5545	298	12	set	set	NOUN
ejpam-5545	298	13	if	if	SCONJ
ejpam-5545	298	14	it	it	PRON
ejpam-5545	298	15	is	be	AUX
ejpam-5545	298	16	b	b	NOUN
ejpam-5545	298	17	-	-	PUNCT
ejpam-5545	298	18	exact	exact	ADJ
ejpam-5545	298	19	.	.	PUNCT
ejpam-5545	299	1	remark	remark	NOUN
ejpam-5545	299	2	2	2	NUM
ejpam-5545	299	3	.	.	PUNCT
ejpam-5545	300	1	according	accord	VERB
ejpam-5545	300	2	to	to	ADP
ejpam-5545	300	3	theorem	theorem	ADJ
ejpam-5545	300	4	2	2	NUM
ejpam-5545	300	5	and	and	CCONJ
ejpam-5545	300	6	corollary	corollary	ADJ
ejpam-5545	300	7	1	1	NUM
ejpam-5545	300	8	,	,	PUNCT
ejpam-5545	300	9	definition	definition	NOUN
ejpam-5545	300	10	6	6	NUM
ejpam-5545	300	11	extends	extend	VERB
ejpam-5545	300	12	the	the	DET
ejpam-5545	300	13	techniques	technique	NOUN
ejpam-5545	300	14	introduced	introduce	VERB
ejpam-5545	300	15	by	by	ADP
ejpam-5545	300	16	abu	abu	PROPN
ejpam-5545	300	17	-	-	PUNCT
ejpam-5545	300	18	gadairi	gadairi	PROPN
ejpam-5545	300	19	[	[	X
ejpam-5545	300	20	8	8	NUM
ejpam-5545	300	21	]	]	PUNCT
ejpam-5545	300	22	.	.	PUNCT
ejpam-5545	301	1	these	these	DET
ejpam-5545	301	2	extensions	extension	NOUN
ejpam-5545	301	3	,	,	PUNCT
ejpam-5545	301	4	particularly	particularly	ADV
ejpam-5545	301	5	the	the	DET
ejpam-5545	301	6	βb	βb	ADJ
ejpam-5545	301	7	-	-	PUNCT
ejpam-5545	301	8	approaches	approach	NOUN
ejpam-5545	301	9	,	,	PUNCT
ejpam-5545	301	10	demonstrate	demonstrate	VERB
ejpam-5545	301	11	improved	improved	ADJ
ejpam-5545	301	12	accuracy	accuracy	NOUN
ejpam-5545	301	13	.	.	PUNCT
ejpam-5545	302	1	however	however	ADV
ejpam-5545	302	2	,	,	PUNCT
ejpam-5545	302	3	it	it	PRON
ejpam-5545	302	4	is	be	AUX
ejpam-5545	302	5	important	important	ADJ
ejpam-5545	302	6	to	to	PART
ejpam-5545	302	7	note	note	VERB
ejpam-5545	302	8	that	that	DET
ejpam-5545	302	9	example	example	NOUN
ejpam-5545	302	10	2	2	NUM
ejpam-5545	302	11	illustrates	illustrate	VERB
ejpam-5545	302	12	cases	case	NOUN
ejpam-5545	302	13	where	where	SCONJ
ejpam-5545	302	14	this	this	DET
ejpam-5545	302	15	relationship	relationship	NOUN
ejpam-5545	302	16	does	do	AUX
ejpam-5545	302	17	not	not	PART
ejpam-5545	302	18	hold	hold	VERB
ejpam-5545	302	19	in	in	ADP
ejpam-5545	302	20	reverse	reverse	NOUN
ejpam-5545	302	21	.	.	PUNCT
ejpam-5545	303	1	example	example	NOUN
ejpam-5545	304	1	2	2	NUM
ejpam-5545	304	2	.	.	X
ejpam-5545	305	1	drawing	draw	VERB
ejpam-5545	305	2	from	from	ADP
ejpam-5545	305	3	example	example	NOUN
ejpam-5545	305	4	1	1	NUM
ejpam-5545	305	5	,	,	PUNCT
ejpam-5545	305	6	we	we	PRON
ejpam-5545	305	7	compare	compare	VERB
ejpam-5545	305	8	the	the	DET
ejpam-5545	305	9	outcomes	outcome	NOUN
ejpam-5545	305	10	derived	derive	VERB
ejpam-5545	305	11	from	from	ADP
ejpam-5545	305	12	the	the	DET
ejpam-5545	305	13	methodology	methodology	NOUN
ejpam-5545	305	14	proposed	propose	VERB
ejpam-5545	305	15	by	by	ADP
ejpam-5545	305	16	abu	abu	PROPN
ejpam-5545	305	17	-	-	PUNCT
ejpam-5545	305	18	gadairi	gadairi	PROPN
ejpam-5545	305	19	et	et	PROPN
ejpam-5545	305	20	al	al	PROPN
ejpam-5545	305	21	.	.	PUNCT
ejpam-5545	306	1	[	[	X
ejpam-5545	306	2	8	8	NUM
ejpam-5545	306	3	]	]	PUNCT
ejpam-5545	306	4	with	with	ADP
ejpam-5545	306	5	those	those	PRON
ejpam-5545	306	6	obtained	obtain	VERB
ejpam-5545	306	7	from	from	ADP
ejpam-5545	306	8	the	the	DET
ejpam-5545	306	9	suggested	suggested	ADJ
ejpam-5545	306	10	approach	approach	NOUN
ejpam-5545	306	11	(	(	PUNCT
ejpam-5545	306	12	the	the	DET
ejpam-5545	306	13	βb	βb	ADJ
ejpam-5545	306	14	-	-	PUNCT
ejpam-5545	306	15	approximations	approximation	NOUN
ejpam-5545	306	16	)	)	PUNCT
ejpam-5545	306	17	,	,	PUNCT
ejpam-5545	306	18	as	as	SCONJ
ejpam-5545	306	19	elucidated	elucidate	VERB
ejpam-5545	306	20	in	in	ADP
ejpam-5545	306	21	table	table	NOUN
ejpam-5545	306	22	1	1	NUM
ejpam-5545	306	23	.	.	PUNCT
ejpam-5545	306	24	table	table	NOUN
ejpam-5545	306	25	1	1	NUM
ejpam-5545	306	26	:	:	PUNCT
ejpam-5545	306	27	a	a	DET
ejpam-5545	306	28	comparative	comparative	ADJ
ejpam-5545	306	29	analysis	analysis	NOUN
ejpam-5545	306	30	of	of	ADP
ejpam-5545	306	31	accuracy	accuracy	NOUN
ejpam-5545	306	32	metrics	metric	NOUN
ejpam-5545	306	33	between	between	ADP
ejpam-5545	306	34	the	the	DET
ejpam-5545	306	35	technique	technique	NOUN
ejpam-5545	306	36	by	by	ADP
ejpam-5545	306	37	abu	abu	PROPN
ejpam-5545	306	38	-	-	PUNCT
ejpam-5545	306	39	gdairi	gdairi	PROPN
ejpam-5545	306	40	et	et	PROPN
ejpam-5545	306	41	al	al	PROPN
ejpam-5545	306	42	.	.	PUNCT
ejpam-5545	307	1	[	[	X
ejpam-5545	307	2	8	8	NUM
ejpam-5545	307	3	]	]	PUNCT
ejpam-5545	307	4	and	and	CCONJ
ejpam-5545	307	5	the	the	DET
ejpam-5545	307	6	current	current	ADJ
ejpam-5545	307	7	method	method	NOUN
ejpam-5545	307	8	.	.	PUNCT
ejpam-5545	308	1	i⊆s	i⊆s	PROPN
ejpam-5545	308	2	abu	abu	PROPN
ejpam-5545	308	3	-	-	PUNCT
ejpam-5545	308	4	gdairi	gdairi	PROPN
ejpam-5545	308	5	et	et	PROPN
ejpam-5545	308	6	al	al	PROPN
ejpam-5545	308	7	.	.	PUNCT
ejpam-5545	309	1	current	current	ADJ
ejpam-5545	309	2	methods	method	NOUN
ejpam-5545	309	3	ab	ab	PROPN
ejpam-5545	309	4	(	(	PUNCT
ejpam-5545	309	5	i	i	NOUN
ejpam-5545	309	6	)	)	PUNCT
ejpam-5545	309	7	aβb	aβb	VERB
ejpam-5545	309	8	(	(	PUNCT
ejpam-5545	309	9	i	i	NOUN
ejpam-5545	309	10	)	)	PUNCT
ejpam-5545	309	11	{	{	PUNCT
ejpam-5545	309	12	t	t	X
ejpam-5545	309	13	}	}	PUNCT
ejpam-5545	309	14	0	0	NUM
ejpam-5545	309	15	0	0	NUM
ejpam-5545	309	16	{	{	PUNCT
ejpam-5545	309	17	u	u	NOUN
ejpam-5545	309	18	}	}	PUNCT
ejpam-5545	309	19	1	1	NUM
ejpam-5545	309	20	2	2	NUM
ejpam-5545	309	21	1	1	NUM
ejpam-5545	309	22	{	{	PUNCT
ejpam-5545	309	23	v	v	NOUN
ejpam-5545	309	24	}	}	PUNCT
ejpam-5545	309	25	0	0	NUM
ejpam-5545	309	26	1	1	NUM
ejpam-5545	309	27	{	{	PUNCT
ejpam-5545	309	28	w	w	NOUN
ejpam-5545	309	29	}	}	PUNCT
ejpam-5545	309	30	0	0	NUM
ejpam-5545	309	31	1	1	NUM
ejpam-5545	309	32	{	{	PUNCT
ejpam-5545	309	33	t	t	PROPN
ejpam-5545	309	34	,	,	PUNCT
ejpam-5545	309	35	u	u	NOUN
ejpam-5545	309	36	}	}	PUNCT
ejpam-5545	309	37	1	1	NUM
ejpam-5545	309	38	2	2	NUM
ejpam-5545	309	39	1	1	NUM
ejpam-5545	309	40	{	{	PUNCT
ejpam-5545	309	41	t	t	PROPN
ejpam-5545	309	42	,	,	PUNCT
ejpam-5545	309	43	v	v	NOUN
ejpam-5545	309	44	}	}	PUNCT
ejpam-5545	309	45	0	0	NUM
ejpam-5545	309	46	1	1	NUM
ejpam-5545	309	47	2	2	NUM
ejpam-5545	309	48	{	{	PUNCT
ejpam-5545	309	49	t	t	PROPN
ejpam-5545	309	50	,	,	PUNCT
ejpam-5545	309	51	w	w	NOUN
ejpam-5545	309	52	}	}	PUNCT
ejpam-5545	309	53	0	0	NUM
ejpam-5545	309	54	1	1	NUM
ejpam-5545	309	55	{	{	PUNCT
ejpam-5545	309	56	u	u	NOUN
ejpam-5545	309	57	,	,	PUNCT
ejpam-5545	309	58	v	v	NOUN
ejpam-5545	309	59	}	}	PUNCT
ejpam-5545	309	60	1	1	NUM
ejpam-5545	309	61	4	4	NUM
ejpam-5545	309	62	1	1	NUM
ejpam-5545	309	63	{	{	PUNCT
ejpam-5545	309	64	u	u	NOUN
ejpam-5545	309	65	,	,	PUNCT
ejpam-5545	309	66	w	w	NOUN
ejpam-5545	309	67	}	}	PUNCT
ejpam-5545	309	68	1	1	NUM
ejpam-5545	309	69	4	4	NUM
ejpam-5545	309	70	1	1	NUM
ejpam-5545	309	71	{	{	PUNCT
ejpam-5545	309	72	v	v	NOUN
ejpam-5545	309	73	,	,	PUNCT
ejpam-5545	309	74	w	w	NOUN
ejpam-5545	309	75	}	}	PUNCT
ejpam-5545	309	76	2	2	NUM
ejpam-5545	309	77	3	3	NUM
ejpam-5545	309	78	1	1	NUM
ejpam-5545	309	79	{	{	PUNCT
ejpam-5545	309	80	t	t	PROPN
ejpam-5545	309	81	,	,	PUNCT
ejpam-5545	309	82	u	u	NOUN
ejpam-5545	309	83	,	,	PUNCT
ejpam-5545	309	84	v	v	NOUN
ejpam-5545	309	85	}	}	PUNCT
ejpam-5545	309	86	1	1	NUM
ejpam-5545	309	87	4	4	NUM
ejpam-5545	309	88	1	1	NUM
ejpam-5545	309	89	{	{	PUNCT
ejpam-5545	309	90	t	t	PROPN
ejpam-5545	309	91	,	,	PUNCT
ejpam-5545	309	92	u	u	NOUN
ejpam-5545	309	93	,	,	PUNCT
ejpam-5545	309	94	w	w	NOUN
ejpam-5545	309	95	}	}	PUNCT
ejpam-5545	309	96	1	1	NUM
ejpam-5545	309	97	4	4	NUM
ejpam-5545	309	98	1	1	NUM
ejpam-5545	309	99	{	{	PUNCT
ejpam-5545	309	100	t	t	PROPN
ejpam-5545	309	101	,	,	PUNCT
ejpam-5545	309	102	v	v	NOUN
ejpam-5545	309	103	,	,	PUNCT
ejpam-5545	309	104	w	w	NOUN
ejpam-5545	309	105	}	}	PUNCT
ejpam-5545	309	106	2	2	NUM
ejpam-5545	309	107	3	3	NUM
ejpam-5545	309	108	1	1	NUM
ejpam-5545	309	109	{	{	PUNCT
ejpam-5545	309	110	u	u	NOUN
ejpam-5545	309	111	,	,	PUNCT
ejpam-5545	309	112	v	v	NOUN
ejpam-5545	309	113	,	,	PUNCT
ejpam-5545	309	114	w	w	NOUN
ejpam-5545	309	115	}	}	PUNCT
ejpam-5545	309	116	3	3	NUM
ejpam-5545	309	117	4	4	NUM
ejpam-5545	309	118	3	3	NUM
ejpam-5545	309	119	4	4	NUM
ejpam-5545	309	120	s	s	NOUN
ejpam-5545	309	121	1	1	NUM
ejpam-5545	309	122	1	1	NUM
ejpam-5545	309	123	b.	b.	NOUN
ejpam-5545	309	124	comparison	comparison	NOUN
ejpam-5545	309	125	between	between	ADP
ejpam-5545	309	126	the	the	DET
ejpam-5545	309	127	βb	βb	ADJ
ejpam-5545	309	128	-	-	PUNCT
ejpam-5545	309	129	approximations	approximation	NOUN
ejpam-5545	309	130	and	and	CCONJ
ejpam-5545	309	131	the	the	DET
ejpam-5545	309	132	method	method	NOUN
ejpam-5545	309	133	of	of	ADP
ejpam-5545	309	134	dai	dai	PROPN
ejpam-5545	309	135	et	et	PROPN
ejpam-5545	309	136	al	al	PROPN
ejpam-5545	309	137	.	.	PUNCT
ejpam-5545	310	1	this	this	DET
ejpam-5545	310	2	subsection	subsection	NOUN
ejpam-5545	310	3	aims	aim	VERB
ejpam-5545	310	4	to	to	PART
ejpam-5545	310	5	present	present	VERB
ejpam-5545	310	6	a	a	DET
ejpam-5545	310	7	comparative	comparative	ADJ
ejpam-5545	310	8	study	study	NOUN
ejpam-5545	310	9	between	between	ADP
ejpam-5545	310	10	the	the	DET
ejpam-5545	310	11	proposed	propose	VERB
ejpam-5545	310	12	approximations	approximation	NOUN
ejpam-5545	310	13	in	in	ADP
ejpam-5545	310	14	this	this	DET
ejpam-5545	310	15	paper	paper	NOUN
ejpam-5545	310	16	and	and	CCONJ
ejpam-5545	310	17	the	the	DET
ejpam-5545	310	18	rough	rough	ADJ
ejpam-5545	310	19	sets	set	NOUN
ejpam-5545	310	20	method	method	NOUN
ejpam-5545	310	21	by	by	ADP
ejpam-5545	310	22	dai	dai	PROPN
ejpam-5545	310	23	et	et	PROPN
ejpam-5545	310	24	al	al	PROPN
ejpam-5545	310	25	.	.	PUNCT
ejpam-5545	311	1	[	[	X
ejpam-5545	311	2	27	27	NUM
ejpam-5545	311	3	]	]	PUNCT
ejpam-5545	311	4	,	,	PUNCT
ejpam-5545	311	5	highlighting	highlight	VERB
ejpam-5545	311	6	two	two	NUM
ejpam-5545	311	7	distinct	distinct	ADJ
ejpam-5545	311	8	cases	case	NOUN
ejpam-5545	311	9	.	.	PUNCT
ejpam-5545	312	1	firstly	firstly	ADV
ejpam-5545	312	2	,	,	PUNCT
ejpam-5545	312	3	in	in	ADP
ejpam-5545	312	4	the	the	DET
ejpam-5545	312	5	case	case	NOUN
ejpam-5545	312	6	of	of	ADP
ejpam-5545	312	7	general	general	ADJ
ejpam-5545	312	8	binary	binary	PROPN
ejpam-5545	312	9	relations	relation	NOUN
ejpam-5545	312	10	,	,	PUNCT
ejpam-5545	312	11	the	the	DET
ejpam-5545	312	12	two	two	NUM
ejpam-5545	312	13	methods	method	NOUN
ejpam-5545	312	14	are	be	AUX
ejpam-5545	312	15	independent	independent	ADJ
ejpam-5545	312	16	and	and	CCONJ
ejpam-5545	312	17	not	not	PART
ejpam-5545	312	18	comparable	comparable	ADJ
ejpam-5545	312	19	,	,	PUNCT
ejpam-5545	312	20	as	as	SCONJ
ejpam-5545	312	21	detailed	detailed	ADJ
ejpam-5545	312	22	in	in	ADP
ejpam-5545	312	23	reference	reference	NOUN
ejpam-5545	312	24	[	[	X
ejpam-5545	312	25	8	8	NUM
ejpam-5545	312	26	]	]	PUNCT
ejpam-5545	312	27	.	.	PUNCT
ejpam-5545	313	1	in	in	ADP
ejpam-5545	313	2	this	this	DET
ejpam-5545	313	3	scenario	scenario	NOUN
ejpam-5545	313	4	,	,	PUNCT
ejpam-5545	313	5	dai	dai	PROPN
ejpam-5545	313	6	et	et	PROPN
ejpam-5545	313	7	al	al	PROPN
ejpam-5545	313	8	.	.	PROPN
ejpam-5545	313	9	’s	’s	PART
ejpam-5545	313	10	approximations	approximation	NOUN
ejpam-5545	313	11	fail	fail	VERB
ejpam-5545	313	12	to	to	PART
ejpam-5545	313	13	satisfy	satisfy	VERB
ejpam-5545	313	14	the	the	DET
ejpam-5545	313	15	main	main	ADJ
ejpam-5545	313	16	axioms	axiom	NOUN
ejpam-5545	313	17	and	and	CCONJ
ejpam-5545	313	18	properties	property	NOUN
ejpam-5545	313	19	of	of	ADP
ejpam-5545	313	20	pawlak	pawlak	ADJ
ejpam-5545	313	21	’s	’s	PART
ejpam-5545	313	22	theory	theory	NOUN
ejpam-5545	313	23	.	.	PUNCT
ejpam-5545	314	1	conversely	conversely	ADV
ejpam-5545	314	2	,	,	PUNCT
ejpam-5545	314	3	the	the	DET
ejpam-5545	314	4	proposed	propose	VERB
ejpam-5545	314	5	βb	βb	ADJ
ejpam-5545	314	6	-	-	PUNCT
ejpam-5545	314	7	approximations	approximation	NOUN
ejpam-5545	314	8	successfully	successfully	ADV
ejpam-5545	314	9	fulfill	fulfill	VERB
ejpam-5545	314	10	pawlak	pawlak	ADJ
ejpam-5545	314	11	’s	’s	PART
ejpam-5545	314	12	principles	principle	NOUN
ejpam-5545	314	13	without	without	ADP
ejpam-5545	314	14	requiring	require	VERB
ejpam-5545	314	15	any	any	DET
ejpam-5545	314	16	additional	additional	ADJ
ejpam-5545	314	17	m.	m.	NOUN
ejpam-5545	314	18	k.	k.	PROPN
ejpam-5545	315	1	el	el	PROPN
ejpam-5545	315	2	-	-	PROPN
ejpam-5545	315	3	bably	bably	PROPN
ejpam-5545	315	4	et	et	PROPN
ejpam-5545	315	5	al	al	PROPN
ejpam-5545	315	6	.	.	PUNCT
ejpam-5545	315	7	/	/	SYM
ejpam-5545	315	8	eur	eur	PROPN
ejpam-5545	315	9	.	.	PUNCT
ejpam-5545	316	1	j.	j.	PROPN
ejpam-5545	316	2	pure	pure	PROPN
ejpam-5545	316	3	appl	appl	PROPN
ejpam-5545	316	4	.	.	PROPN
ejpam-5545	316	5	math	math	PROPN
ejpam-5545	316	6	,	,	PUNCT
ejpam-5545	316	7	17	17	NUM
ejpam-5545	316	8	(	(	PUNCT
ejpam-5545	316	9	4	4	NUM
ejpam-5545	316	10	)	)	PUNCT
ejpam-5545	316	11	(	(	PUNCT
ejpam-5545	316	12	2024	2024	NUM
ejpam-5545	316	13	)	)	PUNCT
ejpam-5545	316	14	,	,	PUNCT
ejpam-5545	316	15	3743	3743	NUM
ejpam-5545	316	16	-	-	SYM
ejpam-5545	316	17	3771	3771	NUM
ejpam-5545	316	18	3754	3754	NUM
ejpam-5545	316	19	conditions	condition	NOUN
ejpam-5545	316	20	,	,	PUNCT
ejpam-5545	316	21	as	as	SCONJ
ejpam-5545	316	22	demonstrated	demonstrate	VERB
ejpam-5545	316	23	in	in	ADP
ejpam-5545	316	24	proposition	proposition	NOUN
ejpam-5545	316	25	1	1	NUM
ejpam-5545	316	26	.	.	PUNCT
ejpam-5545	317	1	this	this	PRON
ejpam-5545	317	2	represents	represent	VERB
ejpam-5545	317	3	a	a	DET
ejpam-5545	317	4	significant	significant	ADJ
ejpam-5545	317	5	advantage	advantage	NOUN
ejpam-5545	317	6	of	of	ADP
ejpam-5545	317	7	the	the	DET
ejpam-5545	317	8	proposed	propose	VERB
ejpam-5545	317	9	methods	method	NOUN
ejpam-5545	317	10	over	over	ADP
ejpam-5545	317	11	the	the	DET
ejpam-5545	317	12	previous	previous	ADJ
ejpam-5545	317	13	method	method	NOUN
ejpam-5545	317	14	.	.	PUNCT
ejpam-5545	318	1	in	in	ADP
ejpam-5545	318	2	the	the	DET
ejpam-5545	318	3	second	second	ADJ
ejpam-5545	318	4	case	case	NOUN
ejpam-5545	318	5	,	,	PUNCT
ejpam-5545	318	6	which	which	PRON
ejpam-5545	318	7	involves	involve	VERB
ejpam-5545	318	8	reflexive	reflexive	ADJ
ejpam-5545	318	9	relations	relation	NOUN
ejpam-5545	318	10	where	where	SCONJ
ejpam-5545	318	11	some	some	PRON
ejpam-5545	318	12	of	of	ADP
ejpam-5545	318	13	pawlak	pawlak	ADJ
ejpam-5545	318	14	’s	’s	PART
ejpam-5545	318	15	axioms	axiom	NOUN
ejpam-5545	318	16	are	be	AUX
ejpam-5545	318	17	met	meet	VERB
ejpam-5545	318	18	by	by	ADP
ejpam-5545	318	19	dai	dai	PROPN
ejpam-5545	318	20	et	et	PROPN
ejpam-5545	318	21	al	al	PROPN
ejpam-5545	318	22	.	.	PROPN
ejpam-5545	318	23	’s	’s	PART
ejpam-5545	318	24	method	method	NOUN
ejpam-5545	318	25	,	,	PUNCT
ejpam-5545	318	26	we	we	PRON
ejpam-5545	318	27	demonstrate	demonstrate	VERB
ejpam-5545	318	28	that	that	SCONJ
ejpam-5545	318	29	our	our	PRON
ejpam-5545	318	30	methods	method	NOUN
ejpam-5545	318	31	are	be	AUX
ejpam-5545	318	32	more	more	ADV
ejpam-5545	318	33	accurate	accurate	ADJ
ejpam-5545	318	34	than	than	ADP
ejpam-5545	318	35	those	those	PRON
ejpam-5545	318	36	of	of	ADP
ejpam-5545	318	37	dai	dai	PROPN
ejpam-5545	318	38	et	et	PROPN
ejpam-5545	318	39	al	al	PROPN
ejpam-5545	318	40	.	.	PROPN
ejpam-5545	318	41	,	,	PUNCT
ejpam-5545	318	42	supported	support	VERB
ejpam-5545	318	43	by	by	ADP
ejpam-5545	318	44	counterexamples	counterexample	NOUN
ejpam-5545	318	45	.	.	PUNCT
ejpam-5545	319	1	lemma	lemma	PROPN
ejpam-5545	319	2	2	2	NUM
ejpam-5545	319	3	.	.	PUNCT
ejpam-5545	320	1	[	[	X
ejpam-5545	320	2	8	8	NUM
ejpam-5545	320	3	]	]	PUNCT
ejpam-5545	320	4	let	let	VERB
ejpam-5545	320	5	θ	θ	NOUN
ejpam-5545	320	6	be	be	AUX
ejpam-5545	320	7	a	a	DET
ejpam-5545	320	8	reflexive	reflexive	ADJ
ejpam-5545	320	9	relation	relation	NOUN
ejpam-5545	320	10	on	on	ADP
ejpam-5545	320	11	s	s	PRON
ejpam-5545	320	12	and	and	CCONJ
ejpam-5545	320	13	i	i	PRON
ejpam-5545	320	14	⊆	⊆	NUM
ejpam-5545	320	15	s.	s.	PROPN
ejpam-5545	320	16	then	then	ADV
ejpam-5545	320	17	:	:	PUNCT
ejpam-5545	320	18	(	(	PUNCT
ejpam-5545	320	19	1	1	X
ejpam-5545	320	20	)	)	PUNCT
ejpam-5545	320	21	lm	lm	INTJ
ejpam-5545	320	22	(	(	PUNCT
ejpam-5545	320	23	i	i	NOUN
ejpam-5545	320	24	)	)	PUNCT
ejpam-5545	321	1	⊆	⊆	NUM
ejpam-5545	321	2	lb	lb	X
ejpam-5545	321	3	(	(	PUNCT
ejpam-5545	321	4	i	i	NOUN
ejpam-5545	321	5	)	)	PUNCT
ejpam-5545	322	1	⊆	⊆	NUM
ejpam-5545	322	2	i	i	NUM
ejpam-5545	322	3	⊆	⊆	NUM
ejpam-5545	322	4	ub	ub	PROPN
ejpam-5545	322	5	(	(	PUNCT
ejpam-5545	322	6	i	i	NOUN
ejpam-5545	322	7	)	)	PUNCT
ejpam-5545	322	8	⊆	⊆	X
ejpam-5545	322	9	um	um	INTJ
ejpam-5545	322	10	(	(	PUNCT
ejpam-5545	322	11	i	i	NOUN
ejpam-5545	322	12	)	)	PUNCT
ejpam-5545	322	13	.	.	PUNCT
ejpam-5545	323	1	(	(	PUNCT
ejpam-5545	323	2	2	2	X
ejpam-5545	323	3	)	)	PUNCT
ejpam-5545	323	4	bb	bb	NOUN
ejpam-5545	323	5	(	(	PUNCT
ejpam-5545	323	6	i	i	NOUN
ejpam-5545	323	7	)	)	PUNCT
ejpam-5545	324	1	⊆	⊆	NUM
ejpam-5545	324	2	bm	bm	PROPN
ejpam-5545	324	3	(	(	PUNCT
ejpam-5545	324	4	i	i	NOUN
ejpam-5545	324	5	)	)	PUNCT
ejpam-5545	324	6	and	and	CCONJ
ejpam-5545	324	7	am	be	AUX
ejpam-5545	324	8	(	(	PUNCT
ejpam-5545	324	9	i	i	NOUN
ejpam-5545	324	10	)	)	PUNCT
ejpam-5545	324	11	≤	≤	PROPN
ejpam-5545	325	1	ab	ab	PROPN
ejpam-5545	326	1	(	(	PUNCT
ejpam-5545	326	2	i	i	NOUN
ejpam-5545	326	3	)	)	PUNCT
ejpam-5545	326	4	.	.	PUNCT
ejpam-5545	327	1	(	(	PUNCT
ejpam-5545	327	2	3	3	X
ejpam-5545	327	3	)	)	PUNCT
ejpam-5545	327	4	if	if	SCONJ
ejpam-5545	327	5	i	i	PRON
ejpam-5545	327	6	is	be	AUX
ejpam-5545	327	7	m	m	NOUN
ejpam-5545	327	8	-	-	PUNCT
ejpam-5545	327	9	exact	exact	ADJ
ejpam-5545	327	10	,	,	PUNCT
ejpam-5545	327	11	then	then	ADV
ejpam-5545	327	12	i	i	PRON
ejpam-5545	327	13	is	be	AUX
ejpam-5545	327	14	basic	basic	ADJ
ejpam-5545	327	15	-	-	PUNCT
ejpam-5545	327	16	exact	exact	ADJ
ejpam-5545	327	17	.	.	PUNCT
ejpam-5545	328	1	theorem	theorem	NOUN
ejpam-5545	328	2	3	3	X
ejpam-5545	328	3	.	.	PUNCT
ejpam-5545	328	4	suppose	suppose	VERB
ejpam-5545	328	5	that	that	SCONJ
ejpam-5545	328	6	θ	θ	PROPN
ejpam-5545	328	7	is	be	AUX
ejpam-5545	328	8	a	a	DET
ejpam-5545	328	9	reflexive	reflexive	ADJ
ejpam-5545	328	10	relation	relation	NOUN
ejpam-5545	328	11	on	on	ADP
ejpam-5545	328	12	s.	s.	PROPN
ejpam-5545	328	13	then	then	ADV
ejpam-5545	328	14	:	:	PUNCT
ejpam-5545	328	15	(	(	PUNCT
ejpam-5545	328	16	1	1	X
ejpam-5545	328	17	)	)	PUNCT
ejpam-5545	328	18	lm	lm	INTJ
ejpam-5545	328	19	(	(	PUNCT
ejpam-5545	328	20	i	i	NOUN
ejpam-5545	328	21	)	)	PUNCT
ejpam-5545	328	22	⊆	⊆	NUM
ejpam-5545	328	23	β	β	SYM
ejpam-5545	328	24	b	b	X
ejpam-5545	328	25	(	(	PUNCT
ejpam-5545	328	26	i	i	NOUN
ejpam-5545	328	27	)	)	PUNCT
ejpam-5545	329	1	⊆	⊆	NUM
ejpam-5545	329	2	i	i	NOUN
ejpam-5545	329	3	⊆	⊆	NUM
ejpam-5545	329	4	βb	βb	PRON
ejpam-5545	329	5	(	(	PUNCT
ejpam-5545	329	6	i	i	NOUN
ejpam-5545	329	7	)	)	PUNCT
ejpam-5545	329	8	⊆	⊆	NUM
ejpam-5545	329	9	um	um	INTJ
ejpam-5545	329	10	(	(	PUNCT
ejpam-5545	329	11	i	i	NOUN
ejpam-5545	329	12	)	)	PUNCT
ejpam-5545	329	13	.	.	PUNCT
ejpam-5545	330	1	(	(	PUNCT
ejpam-5545	330	2	2	2	X
ejpam-5545	330	3	)	)	PUNCT
ejpam-5545	330	4	bβb	bβb	NOUN
ejpam-5545	330	5	(	(	PUNCT
ejpam-5545	330	6	i	i	NOUN
ejpam-5545	330	7	)	)	PUNCT
ejpam-5545	331	1	⊆	⊆	NUM
ejpam-5545	331	2	bm	bm	PROPN
ejpam-5545	331	3	(	(	PUNCT
ejpam-5545	331	4	i	i	NOUN
ejpam-5545	331	5	)	)	PUNCT
ejpam-5545	331	6	and	and	CCONJ
ejpam-5545	331	7	am	be	AUX
ejpam-5545	331	8	(	(	PUNCT
ejpam-5545	331	9	i	i	NOUN
ejpam-5545	331	10	)	)	PUNCT
ejpam-5545	331	11	≤	≤	NUM
ejpam-5545	331	12	aβb	aβb	VERB
ejpam-5545	331	13	(	(	PUNCT
ejpam-5545	331	14	i	i	NOUN
ejpam-5545	331	15	)	)	PUNCT
ejpam-5545	331	16	.	.	PUNCT
ejpam-5545	332	1	(	(	PUNCT
ejpam-5545	332	2	3	3	X
ejpam-5545	332	3	)	)	PUNCT
ejpam-5545	332	4	if	if	SCONJ
ejpam-5545	332	5	i	i	PRON
ejpam-5545	332	6	is	be	AUX
ejpam-5545	332	7	m	m	NOUN
ejpam-5545	332	8	-	-	PUNCT
ejpam-5545	332	9	exact	exact	ADJ
ejpam-5545	332	10	,	,	PUNCT
ejpam-5545	332	11	then	then	ADV
ejpam-5545	332	12	i	i	PRON
ejpam-5545	332	13	is	be	AUX
ejpam-5545	332	14	βb	βb	ADJ
ejpam-5545	332	15	-	-	PUNCT
ejpam-5545	332	16	exact	exact	ADJ
ejpam-5545	332	17	.	.	PUNCT
ejpam-5545	333	1	proof	proof	NOUN
ejpam-5545	333	2	.	.	PUNCT
ejpam-5545	334	1	from	from	ADP
ejpam-5545	334	2	theorem	theorem	ADJ
ejpam-5545	334	3	2	2	NUM
ejpam-5545	334	4	and	and	CCONJ
ejpam-5545	334	5	lemma	lemma	PROPN
ejpam-5545	334	6	2	2	PROPN
ejpam-5545	334	7	the	the	DET
ejpam-5545	334	8	proof	proof	NOUN
ejpam-5545	334	9	follows	follow	VERB
ejpam-5545	334	10	directly	directly	ADV
ejpam-5545	334	11	.	.	PUNCT
ejpam-5545	335	1	remark	remark	VERB
ejpam-5545	335	2	3	3	NUM
ejpam-5545	335	3	.	.	PUNCT
ejpam-5545	336	1	it	it	PRON
ejpam-5545	336	2	is	be	AUX
ejpam-5545	336	3	important	important	ADJ
ejpam-5545	336	4	to	to	PART
ejpam-5545	336	5	notice	notice	VERB
ejpam-5545	336	6	that	that	SCONJ
ejpam-5545	336	7	the	the	DET
ejpam-5545	336	8	converse	converse	NOUN
ejpam-5545	336	9	of	of	ADP
ejpam-5545	336	10	the	the	DET
ejpam-5545	336	11	above	above	ADJ
ejpam-5545	336	12	consequences	consequence	NOUN
ejpam-5545	336	13	is	be	AUX
ejpam-5545	336	14	not	not	PART
ejpam-5545	336	15	usually	usually	ADV
ejpam-5545	336	16	legal	legal	ADJ
ejpam-5545	336	17	,	,	PUNCT
ejpam-5545	336	18	as	as	SCONJ
ejpam-5545	336	19	illustrated	illustrate	VERB
ejpam-5545	336	20	in	in	ADP
ejpam-5545	336	21	example	example	NOUN
ejpam-5545	336	22	3	3	NUM
ejpam-5545	336	23	.	.	NOUN
ejpam-5545	336	24	example	example	NOUN
ejpam-5545	337	1	3	3	X
ejpam-5545	337	2	.	.	PUNCT
ejpam-5545	337	3	let	let	VERB
ejpam-5545	337	4	s	s	PRON
ejpam-5545	337	5	=	=	X
ejpam-5545	337	6	{	{	PUNCT
ejpam-5545	337	7	t	t	PROPN
ejpam-5545	337	8	,	,	PUNCT
ejpam-5545	337	9	u	u	NOUN
ejpam-5545	337	10	,	,	PUNCT
ejpam-5545	337	11	v	v	NOUN
ejpam-5545	337	12	,	,	PUNCT
ejpam-5545	337	13	w	w	NOUN
ejpam-5545	337	14	}	}	PUNCT
ejpam-5545	337	15	and	and	CCONJ
ejpam-5545	337	16	consider	consider	VERB
ejpam-5545	337	17	the	the	DET
ejpam-5545	337	18	reflexive	reflexive	ADJ
ejpam-5545	337	19	relation	relation	NOUN
ejpam-5545	337	20	θ	θ	X
ejpam-5545	337	21	=	=	SYM
ejpam-5545	337	22	{	{	PUNCT
ejpam-5545	337	23	(	(	PUNCT
ejpam-5545	337	24	t	t	PROPN
ejpam-5545	337	25	,	,	PUNCT
ejpam-5545	337	26	t	t	PROPN
ejpam-5545	337	27	)	)	PUNCT
ejpam-5545	337	28	,	,	PUNCT
ejpam-5545	337	29	(	(	PUNCT
ejpam-5545	337	30	t	t	PROPN
ejpam-5545	337	31	,	,	PUNCT
ejpam-5545	337	32	v	v	NOUN
ejpam-5545	337	33	)	)	PUNCT
ejpam-5545	337	34	,	,	PUNCT
ejpam-5545	337	35	(	(	PUNCT
ejpam-5545	337	36	u	u	NOUN
ejpam-5545	337	37	,	,	PUNCT
ejpam-5545	337	38	u	u	NOUN
ejpam-5545	337	39	)	)	PUNCT
ejpam-5545	337	40	,	,	PUNCT
ejpam-5545	337	41	(	(	PUNCT
ejpam-5545	337	42	u	u	NOUN
ejpam-5545	337	43	,	,	PUNCT
ejpam-5545	337	44	v	v	NOUN
ejpam-5545	337	45	)	)	PUNCT
ejpam-5545	337	46	,	,	PUNCT
ejpam-5545	337	47	(	(	PUNCT
ejpam-5545	337	48	v	v	NOUN
ejpam-5545	337	49	,	,	PUNCT
ejpam-5545	337	50	v	v	NOUN
ejpam-5545	337	51	)	)	PUNCT
ejpam-5545	337	52	,	,	PUNCT
ejpam-5545	337	53	(	(	PUNCT
ejpam-5545	337	54	w	w	NOUN
ejpam-5545	337	55	,	,	PUNCT
ejpam-5545	337	56	w	w	NOUN
ejpam-5545	337	57	)	)	PUNCT
ejpam-5545	337	58	,	,	PUNCT
ejpam-5545	337	59	(	(	PUNCT
ejpam-5545	337	60	u	u	NOUN
ejpam-5545	337	61	,	,	PUNCT
ejpam-5545	337	62	t	t	PROPN
ejpam-5545	337	63	)	)	PUNCT
ejpam-5545	337	64	,	,	PUNCT
ejpam-5545	337	65	(	(	PUNCT
ejpam-5545	337	66	t	t	PROPN
ejpam-5545	337	67	,	,	PUNCT
ejpam-5545	337	68	w	w	PROPN
ejpam-5545	337	69	)	)	PUNCT
ejpam-5545	337	70	,	,	PUNCT
ejpam-5545	337	71	(	(	PUNCT
ejpam-5545	337	72	v	v	NOUN
ejpam-5545	337	73	,	,	PUNCT
ejpam-5545	337	74	w	w	NOUN
ejpam-5545	337	75	)	)	PUNCT
ejpam-5545	337	76	,	,	PUNCT
ejpam-5545	337	77	(	(	PUNCT
ejpam-5545	337	78	w	w	NOUN
ejpam-5545	337	79	,	,	PUNCT
ejpam-5545	337	80	v	v	NOUN
ejpam-5545	337	81	)	)	PUNCT
ejpam-5545	337	82	}	}	PUNCT
ejpam-5545	337	83	on	on	ADP
ejpam-5545	337	84	s.	s.	PROPN
ejpam-5545	337	85	accordingly	accordingly	ADV
ejpam-5545	337	86	,	,	PUNCT
ejpam-5545	338	1	the	the	DET
ejpam-5545	338	2	basic	basic	ADJ
ejpam-5545	338	3	-	-	PUNCT
ejpam-5545	338	4	neighborhoods	neighborhood	NOUN
ejpam-5545	338	5	given	give	VERB
ejpam-5545	338	6	by	by	ADP
ejpam-5545	338	7	:	:	PUNCT
ejpam-5545	338	8	℧	℧	PROPN
ejpam-5545	338	9	b	b	X
ejpam-5545	338	10	(	(	PUNCT
ejpam-5545	338	11	t	t	PROPN
ejpam-5545	338	12	)	)	PUNCT
ejpam-5545	338	13	=	=	PRON
ejpam-5545	338	14	{	{	PUNCT
ejpam-5545	338	15	t	t	PROPN
ejpam-5545	338	16	,	,	PUNCT
ejpam-5545	338	17	v	v	NOUN
ejpam-5545	338	18	,	,	PUNCT
ejpam-5545	338	19	w	w	NOUN
ejpam-5545	338	20	}	}	PUNCT
ejpam-5545	338	21	,	,	PUNCT
ejpam-5545	338	22	℧	℧	PROPN
ejpam-5545	338	23	b	b	X
ejpam-5545	338	24	(	(	PUNCT
ejpam-5545	338	25	u	u	NOUN
ejpam-5545	338	26	)	)	PUNCT
ejpam-5545	338	27	=	=	SYM
ejpam-5545	338	28	{	{	PUNCT
ejpam-5545	338	29	u	u	NOUN
ejpam-5545	338	30	}	}	PUNCT
ejpam-5545	338	31	,	,	PUNCT
ejpam-5545	338	32	℧	℧	PROPN
ejpam-5545	338	33	b	b	X
ejpam-5545	338	34	(	(	PUNCT
ejpam-5545	338	35	v	v	NOUN
ejpam-5545	338	36	)	)	PUNCT
ejpam-5545	338	37	=	=	SYM
ejpam-5545	338	38	{	{	PUNCT
ejpam-5545	338	39	v	v	NOUN
ejpam-5545	338	40	,	,	PUNCT
ejpam-5545	338	41	w	w	NOUN
ejpam-5545	338	42	}	}	PUNCT
ejpam-5545	338	43	,	,	PUNCT
ejpam-5545	338	44	and	and	CCONJ
ejpam-5545	338	45	℧	℧	PROPN
ejpam-5545	338	46	b	b	PROPN
ejpam-5545	338	47	(	(	PUNCT
ejpam-5545	338	48	w	w	NOUN
ejpam-5545	338	49	)	)	PUNCT
ejpam-5545	338	50	=	=	SYM
ejpam-5545	338	51	{	{	PUNCT
ejpam-5545	338	52	v	v	NOUN
ejpam-5545	338	53	,	,	PUNCT
ejpam-5545	338	54	w	w	NOUN
ejpam-5545	338	55	}	}	PUNCT
ejpam-5545	338	56	.	.	PUNCT
ejpam-5545	339	1	also	also	ADV
ejpam-5545	339	2	,	,	PUNCT
ejpam-5545	339	3	the	the	DET
ejpam-5545	339	4	m	m	NOUN
ejpam-5545	339	5	-	-	NOUN
ejpam-5545	339	6	neighborhoods	neighborhood	NOUN
ejpam-5545	339	7	are	be	AUX
ejpam-5545	339	8	:	:	PUNCT
ejpam-5545	339	9	℧	℧	PROPN
ejpam-5545	339	10	m	m	PROPN
ejpam-5545	339	11	(	(	PUNCT
ejpam-5545	339	12	t	t	PROPN
ejpam-5545	339	13	)	)	PUNCT
ejpam-5545	339	14	=	=	SYM
ejpam-5545	340	1	x	x	X
ejpam-5545	340	2	,	,	PUNCT
ejpam-5545	340	3	℧	℧	PROPN
ejpam-5545	340	4	m	m	PROPN
ejpam-5545	340	5	(	(	PUNCT
ejpam-5545	340	6	u	u	NOUN
ejpam-5545	340	7	)	)	PUNCT
ejpam-5545	340	8	=	=	SYM
ejpam-5545	340	9	{	{	PUNCT
ejpam-5545	340	10	t	t	PROPN
ejpam-5545	340	11	,	,	PUNCT
ejpam-5545	340	12	u	u	NOUN
ejpam-5545	340	13	}	}	PUNCT
ejpam-5545	340	14	,	,	PUNCT
ejpam-5545	340	15	℧	℧	PROPN
ejpam-5545	340	16	m	m	PROPN
ejpam-5545	340	17	(	(	PUNCT
ejpam-5545	340	18	v	v	NOUN
ejpam-5545	340	19	)	)	PUNCT
ejpam-5545	340	20	=	=	SYM
ejpam-5545	340	21	{	{	PUNCT
ejpam-5545	340	22	t	t	PROPN
ejpam-5545	340	23	,	,	PUNCT
ejpam-5545	340	24	v	v	NOUN
ejpam-5545	340	25	,	,	PUNCT
ejpam-5545	340	26	w	w	NOUN
ejpam-5545	340	27	}	}	PUNCT
ejpam-5545	340	28	,	,	PUNCT
ejpam-5545	340	29	and	and	CCONJ
ejpam-5545	340	30	℧	℧	PROPN
ejpam-5545	340	31	m	m	PROPN
ejpam-5545	340	32	(	(	PUNCT
ejpam-5545	340	33	w	w	NOUN
ejpam-5545	340	34	)	)	PUNCT
ejpam-5545	340	35	=	=	SYM
ejpam-5545	340	36	{	{	PUNCT
ejpam-5545	340	37	t	t	PROPN
ejpam-5545	340	38	,	,	PUNCT
ejpam-5545	340	39	v	v	NOUN
ejpam-5545	340	40	,	,	PUNCT
ejpam-5545	340	41	w	w	NOUN
ejpam-5545	340	42	}	}	PUNCT
ejpam-5545	340	43	.	.	PUNCT
ejpam-5545	341	1	therefore	therefore	ADV
ejpam-5545	341	2	,	,	PUNCT
ejpam-5545	341	3	a	a	DET
ejpam-5545	341	4	comparison	comparison	NOUN
ejpam-5545	341	5	among	among	ADP
ejpam-5545	341	6	the	the	DET
ejpam-5545	341	7	earlier	early	ADJ
ejpam-5545	341	8	paper	paper	NOUN
ejpam-5545	341	9	(	(	PUNCT
ejpam-5545	341	10	m	m	NOUN
ejpam-5545	341	11	-	-	NOUN
ejpam-5545	341	12	approximations	approximation	NOUN
ejpam-5545	341	13	[	[	X
ejpam-5545	341	14	27	27	NUM
ejpam-5545	341	15	]	]	NUM
ejpam-5545	341	16	)	)	PUNCT
ejpam-5545	341	17	,	,	PUNCT
ejpam-5545	341	18	and	and	CCONJ
ejpam-5545	341	19	the	the	DET
ejpam-5545	341	20	proposed	propose	VERB
ejpam-5545	341	21	technique	technique	NOUN
ejpam-5545	341	22	(	(	PUNCT
ejpam-5545	341	23	βb	βb	ADJ
ejpam-5545	341	24	-	-	PUNCT
ejpam-5545	341	25	accuracy	accuracy	NOUN
ejpam-5545	341	26	)	)	PUNCT
ejpam-5545	341	27	is	be	AUX
ejpam-5545	341	28	given	give	VERB
ejpam-5545	341	29	in	in	ADP
ejpam-5545	341	30	table	table	NOUN
ejpam-5545	341	31	2	2	NUM
ejpam-5545	341	32	.	.	PUNCT
ejpam-5545	342	1	c.	c.	PROPN
ejpam-5545	342	2	a	a	DET
ejpam-5545	342	3	comparative	comparative	ADJ
ejpam-5545	342	4	analysis	analysis	NOUN
ejpam-5545	342	5	of	of	ADP
ejpam-5545	342	6	the	the	DET
ejpam-5545	342	7	yao	yao	NOUN
ejpam-5545	342	8	method	method	NOUN
ejpam-5545	342	9	and	and	CCONJ
ejpam-5545	342	10	nearly	nearly	ADV
ejpam-5545	342	11	βb	βb	ADJ
ejpam-5545	342	12	-	-	PUNCT
ejpam-5545	342	13	approximations	approximation	NOUN
ejpam-5545	342	14	this	this	DET
ejpam-5545	342	15	subsection	subsection	NOUN
ejpam-5545	342	16	provides	provide	VERB
ejpam-5545	342	17	a	a	DET
ejpam-5545	342	18	comparative	comparative	ADJ
ejpam-5545	342	19	investigation	investigation	NOUN
ejpam-5545	342	20	of	of	ADP
ejpam-5545	342	21	the	the	DET
ejpam-5545	342	22	proposed	propose	VERB
ejpam-5545	342	23	approximations	approximation	NOUN
ejpam-5545	342	24	in	in	ADP
ejpam-5545	342	25	this	this	DET
ejpam-5545	342	26	paper	paper	NOUN
ejpam-5545	342	27	and	and	CCONJ
ejpam-5545	342	28	yao	yao	NOUN
ejpam-5545	342	29	’s	’s	PART
ejpam-5545	342	30	rough	rough	ADJ
ejpam-5545	342	31	sets	set	NOUN
ejpam-5545	342	32	method	method	NOUN
ejpam-5545	342	33	[	[	X
ejpam-5545	342	34	27	27	NUM
ejpam-5545	342	35	]	]	PUNCT
ejpam-5545	342	36	,	,	PUNCT
ejpam-5545	342	37	focusing	focus	VERB
ejpam-5545	342	38	on	on	ADP
ejpam-5545	342	39	two	two	NUM
ejpam-5545	342	40	specific	specific	ADJ
ejpam-5545	342	41	examples	example	NOUN
ejpam-5545	342	42	.	.	PUNCT
ejpam-5545	343	1	first	first	ADV
ejpam-5545	343	2	,	,	PUNCT
ejpam-5545	343	3	in	in	ADP
ejpam-5545	343	4	the	the	DET
ejpam-5545	343	5	context	context	NOUN
ejpam-5545	343	6	of	of	ADP
ejpam-5545	343	7	general	general	ADJ
ejpam-5545	343	8	binary	binary	PROPN
ejpam-5545	343	9	relations	relation	NOUN
ejpam-5545	343	10	,	,	PUNCT
ejpam-5545	343	11	the	the	DET
ejpam-5545	343	12	two	two	NUM
ejpam-5545	343	13	techniques	technique	NOUN
ejpam-5545	343	14	are	be	AUX
ejpam-5545	343	15	independent	independent	ADJ
ejpam-5545	343	16	and	and	CCONJ
ejpam-5545	343	17	not	not	PART
ejpam-5545	343	18	directly	directly	ADV
ejpam-5545	343	19	comparable	comparable	ADJ
ejpam-5545	343	20	,	,	PUNCT
ejpam-5545	343	21	as	as	SCONJ
ejpam-5545	343	22	discussed	discuss	VERB
ejpam-5545	343	23	in	in	ADP
ejpam-5545	343	24	[	[	X
ejpam-5545	343	25	8	8	NUM
ejpam-5545	343	26	]	]	PUNCT
ejpam-5545	343	27	and	and	CCONJ
ejpam-5545	343	28	example	example	NOUN
ejpam-5545	344	1	2	2	NUM
ejpam-5545	344	2	.	.	X
ejpam-5545	345	1	in	in	ADP
ejpam-5545	345	2	this	this	DET
ejpam-5545	345	3	scenario	scenario	NOUN
ejpam-5545	345	4	,	,	PUNCT
ejpam-5545	345	5	yao	yao	PROPN
ejpam-5545	345	6	’s	’s	PART
ejpam-5545	345	7	approximations	approximation	NOUN
ejpam-5545	345	8	fail	fail	VERB
ejpam-5545	345	9	to	to	PART
ejpam-5545	345	10	satisfy	satisfy	VERB
ejpam-5545	345	11	the	the	DET
ejpam-5545	345	12	key	key	ADJ
ejpam-5545	345	13	axioms	axiom	NOUN
ejpam-5545	345	14	and	and	CCONJ
ejpam-5545	345	15	properties	property	NOUN
ejpam-5545	345	16	of	of	ADP
ejpam-5545	345	17	pawlak	pawlak	ADJ
ejpam-5545	345	18	’s	’s	PART
ejpam-5545	345	19	theory	theory	NOUN
ejpam-5545	345	20	.	.	PUNCT
ejpam-5545	346	1	in	in	ADP
ejpam-5545	346	2	contrast	contrast	NOUN
ejpam-5545	346	3	,	,	PUNCT
ejpam-5545	346	4	the	the	DET
ejpam-5545	346	5	βb	βb	ADJ
ejpam-5545	346	6	-	-	PUNCT
ejpam-5545	346	7	approximations	approximation	NOUN
ejpam-5545	346	8	adhere	adhere	VERB
ejpam-5545	346	9	to	to	ADP
ejpam-5545	346	10	pawlak	pawlak	ADJ
ejpam-5545	346	11	’s	’s	PART
ejpam-5545	346	12	principles	principle	NOUN
ejpam-5545	346	13	without	without	ADP
ejpam-5545	346	14	additional	additional	ADJ
ejpam-5545	346	15	restrictions	restriction	NOUN
ejpam-5545	346	16	,	,	PUNCT
ejpam-5545	346	17	as	as	SCONJ
ejpam-5545	346	18	shown	show	VERB
ejpam-5545	346	19	in	in	ADP
ejpam-5545	346	20	proposition	proposition	NOUN
ejpam-5545	346	21	1	1	NUM
ejpam-5545	346	22	.	.	PUNCT
ejpam-5545	347	1	this	this	DET
ejpam-5545	347	2	highlights	highlight	VERB
ejpam-5545	347	3	a	a	DET
ejpam-5545	347	4	significant	significant	ADJ
ejpam-5545	347	5	advantage	advantage	NOUN
ejpam-5545	347	6	of	of	ADP
ejpam-5545	347	7	the	the	DET
ejpam-5545	347	8	proposed	propose	VERB
ejpam-5545	347	9	methods	method	NOUN
ejpam-5545	347	10	over	over	ADP
ejpam-5545	347	11	the	the	DET
ejpam-5545	347	12	previous	previous	ADJ
ejpam-5545	347	13	approach	approach	NOUN
ejpam-5545	347	14	.	.	PUNCT
ejpam-5545	348	1	lemma	lemma	PROPN
ejpam-5545	348	2	3	3	NUM
ejpam-5545	348	3	.	.	PUNCT
ejpam-5545	349	1	[	[	X
ejpam-5545	349	2	8	8	NUM
ejpam-5545	349	3	]	]	PUNCT
ejpam-5545	349	4	for	for	ADP
ejpam-5545	349	5	a	a	DET
ejpam-5545	349	6	reflexive	reflexive	ADJ
ejpam-5545	349	7	relation	relation	NOUN
ejpam-5545	349	8	θ	θ	PROPN
ejpam-5545	349	9	on	on	ADP
ejpam-5545	349	10	s	s	PROPN
ejpam-5545	349	11	,	,	PUNCT
ejpam-5545	349	12	∀w	∀w	X
ejpam-5545	349	13	∈	∈	PROPN
ejpam-5545	349	14	s	s	PART
ejpam-5545	349	15	:	:	PUNCT
ejpam-5545	349	16	℧	℧	PROPN
ejpam-5545	349	17	b	b	X
ejpam-5545	349	18	(	(	PUNCT
ejpam-5545	349	19	w	w	NOUN
ejpam-5545	349	20	)	)	PUNCT
ejpam-5545	349	21	⊆	⊆	NUM
ejpam-5545	349	22	℧	℧	SYM
ejpam-5545	349	23	r	r	NOUN
ejpam-5545	349	24	(	(	PUNCT
ejpam-5545	349	25	w	w	NOUN
ejpam-5545	349	26	)	)	PUNCT
ejpam-5545	349	27	.	.	PUNCT
ejpam-5545	350	1	m.	m.	PROPN
ejpam-5545	350	2	k.	k.	PROPN
ejpam-5545	351	1	el	el	PROPN
ejpam-5545	351	2	-	-	PROPN
ejpam-5545	351	3	bably	bably	PROPN
ejpam-5545	351	4	et	et	PROPN
ejpam-5545	351	5	al	al	PROPN
ejpam-5545	351	6	.	.	PUNCT
ejpam-5545	351	7	/	/	SYM
ejpam-5545	351	8	eur	eur	PROPN
ejpam-5545	351	9	.	.	PUNCT
ejpam-5545	352	1	j.	j.	PROPN
ejpam-5545	352	2	pure	pure	PROPN
ejpam-5545	352	3	appl	appl	PROPN
ejpam-5545	352	4	.	.	PROPN
ejpam-5545	352	5	math	math	PROPN
ejpam-5545	352	6	,	,	PUNCT
ejpam-5545	352	7	17	17	NUM
ejpam-5545	352	8	(	(	PUNCT
ejpam-5545	352	9	4	4	NUM
ejpam-5545	352	10	)	)	PUNCT
ejpam-5545	352	11	(	(	PUNCT
ejpam-5545	352	12	2024	2024	NUM
ejpam-5545	352	13	)	)	PUNCT
ejpam-5545	352	14	,	,	PUNCT
ejpam-5545	352	15	3743	3743	NUM
ejpam-5545	352	16	-	-	SYM
ejpam-5545	352	17	3771	3771	NUM
ejpam-5545	352	18	3755	3755	NUM
ejpam-5545	352	19	table	table	NOUN
ejpam-5545	352	20	2	2	NUM
ejpam-5545	352	21	:	:	PUNCT
ejpam-5545	352	22	comparisons	comparison	NOUN
ejpam-5545	352	23	between	between	ADP
ejpam-5545	352	24	the	the	DET
ejpam-5545	352	25	method	method	NOUN
ejpam-5545	352	26	of	of	ADP
ejpam-5545	352	27	dai	dai	PROPN
ejpam-5545	352	28	et	et	PROPN
ejpam-5545	352	29	al	al	PROPN
ejpam-5545	352	30	.	.	PUNCT
ejpam-5545	353	1	[	[	X
ejpam-5545	353	2	27	27	NUM
ejpam-5545	353	3	]	]	PUNCT
ejpam-5545	353	4	,	,	PUNCT
ejpam-5545	353	5	and	and	CCONJ
ejpam-5545	353	6	existing	exist	VERB
ejpam-5545	353	7	approaches	approach	NOUN
ejpam-5545	353	8	.	.	PUNCT
ejpam-5545	354	1	i	i	PRON
ejpam-5545	355	1	⊆	⊆	NUM
ejpam-5545	355	2	s	s	PART
ejpam-5545	355	3	dai	dai	PROPN
ejpam-5545	355	4	et	et	PROPN
ejpam-5545	355	5	al	al	PROPN
ejpam-5545	355	6	.	.	PUNCT
ejpam-5545	356	1	current	current	ADJ
ejpam-5545	356	2	methods	method	NOUN
ejpam-5545	356	3	am	be	AUX
ejpam-5545	356	4	(	(	PUNCT
ejpam-5545	356	5	i	i	NOUN
ejpam-5545	356	6	)	)	PUNCT
ejpam-5545	356	7	aβb	aβb	VERB
ejpam-5545	356	8	(	(	PUNCT
ejpam-5545	356	9	i	i	NOUN
ejpam-5545	356	10	)	)	PUNCT
ejpam-5545	356	11	{	{	PUNCT
ejpam-5545	356	12	t	t	X
ejpam-5545	356	13	}	}	PUNCT
ejpam-5545	356	14	0	0	NUM
ejpam-5545	356	15	0	0	NUM
ejpam-5545	356	16	{	{	PUNCT
ejpam-5545	356	17	u	u	NOUN
ejpam-5545	356	18	}	}	PUNCT
ejpam-5545	356	19	0	0	NUM
ejpam-5545	356	20	1	1	NUM
ejpam-5545	356	21	{	{	PUNCT
ejpam-5545	356	22	v	v	NOUN
ejpam-5545	356	23	}	}	PUNCT
ejpam-5545	356	24	0	0	NUM
ejpam-5545	356	25	1	1	NUM
ejpam-5545	356	26	{	{	PUNCT
ejpam-5545	356	27	w	w	NOUN
ejpam-5545	356	28	}	}	PUNCT
ejpam-5545	356	29	0	0	NUM
ejpam-5545	356	30	1	1	NUM
ejpam-5545	356	31	{	{	PUNCT
ejpam-5545	356	32	t	t	PROPN
ejpam-5545	356	33	,	,	PUNCT
ejpam-5545	356	34	u	u	NOUN
ejpam-5545	356	35	}	}	PUNCT
ejpam-5545	356	36	1	1	NUM
ejpam-5545	356	37	4	4	NUM
ejpam-5545	356	38	1	1	NUM
ejpam-5545	356	39	2	2	NUM
ejpam-5545	356	40	{	{	PUNCT
ejpam-5545	356	41	t	t	PROPN
ejpam-5545	356	42	,	,	PUNCT
ejpam-5545	356	43	v	v	NOUN
ejpam-5545	356	44	}	}	PUNCT
ejpam-5545	356	45	0	0	NUM
ejpam-5545	356	46	1	1	NUM
ejpam-5545	356	47	{	{	PUNCT
ejpam-5545	356	48	t	t	PROPN
ejpam-5545	356	49	,	,	PUNCT
ejpam-5545	356	50	w	w	NOUN
ejpam-5545	356	51	}	}	PUNCT
ejpam-5545	356	52	0	0	NUM
ejpam-5545	356	53	1	1	NUM
ejpam-5545	356	54	{	{	PUNCT
ejpam-5545	356	55	u	u	NOUN
ejpam-5545	356	56	,	,	PUNCT
ejpam-5545	356	57	v	v	NOUN
ejpam-5545	356	58	}	}	PUNCT
ejpam-5545	356	59	0	0	NUM
ejpam-5545	356	60	1	1	NUM
ejpam-5545	356	61	{	{	PUNCT
ejpam-5545	356	62	u	u	NOUN
ejpam-5545	356	63	,	,	PUNCT
ejpam-5545	356	64	w	w	NOUN
ejpam-5545	356	65	}	}	PUNCT
ejpam-5545	356	66	0	0	NUM
ejpam-5545	356	67	1	1	NUM
ejpam-5545	356	68	{	{	PUNCT
ejpam-5545	356	69	v	v	NOUN
ejpam-5545	356	70	,	,	PUNCT
ejpam-5545	356	71	w	w	NOUN
ejpam-5545	356	72	}	}	PUNCT
ejpam-5545	356	73	0	0	NUM
ejpam-5545	356	74	2	2	NUM
ejpam-5545	356	75	3	3	NUM
ejpam-5545	356	76	{	{	PUNCT
ejpam-5545	356	77	t	t	PROPN
ejpam-5545	356	78	,	,	PUNCT
ejpam-5545	356	79	u	u	NOUN
ejpam-5545	356	80	,	,	PUNCT
ejpam-5545	356	81	v	v	NOUN
ejpam-5545	356	82	}	}	PUNCT
ejpam-5545	356	83	1	1	NUM
ejpam-5545	356	84	4	4	NUM
ejpam-5545	356	85	1	1	NUM
ejpam-5545	356	86	{	{	PUNCT
ejpam-5545	356	87	t	t	PROPN
ejpam-5545	356	88	,	,	PUNCT
ejpam-5545	356	89	u	u	NOUN
ejpam-5545	356	90	,	,	PUNCT
ejpam-5545	356	91	w	w	NOUN
ejpam-5545	356	92	}	}	PUNCT
ejpam-5545	356	93	1	1	NUM
ejpam-5545	356	94	4	4	NUM
ejpam-5545	356	95	1	1	NUM
ejpam-5545	356	96	{	{	PUNCT
ejpam-5545	356	97	t	t	PROPN
ejpam-5545	356	98	,	,	PUNCT
ejpam-5545	356	99	v	v	NOUN
ejpam-5545	356	100	,	,	PUNCT
ejpam-5545	356	101	w	w	NOUN
ejpam-5545	356	102	}	}	PUNCT
ejpam-5545	356	103	2	2	NUM
ejpam-5545	356	104	4	4	NUM
ejpam-5545	356	105	1	1	NUM
ejpam-5545	356	106	{	{	PUNCT
ejpam-5545	356	107	u	u	NOUN
ejpam-5545	356	108	,	,	PUNCT
ejpam-5545	356	109	v	v	NOUN
ejpam-5545	356	110	,	,	PUNCT
ejpam-5545	356	111	w	w	NOUN
ejpam-5545	356	112	}	}	PUNCT
ejpam-5545	356	113	0	0	NUM
ejpam-5545	356	114	3	3	NUM
ejpam-5545	356	115	4	4	NUM
ejpam-5545	356	116	s	s	NOUN
ejpam-5545	356	117	1	1	NUM
ejpam-5545	356	118	1	1	NUM
ejpam-5545	356	119	theorem	theorem	NOUN
ejpam-5545	356	120	4	4	NUM
ejpam-5545	356	121	.	.	PUNCT
ejpam-5545	357	1	let	let	VERB
ejpam-5545	357	2	θ	θ	NOUN
ejpam-5545	357	3	be	be	AUX
ejpam-5545	357	4	a	a	DET
ejpam-5545	357	5	reflexive	reflexive	ADJ
ejpam-5545	357	6	relation	relation	NOUN
ejpam-5545	357	7	on	on	ADP
ejpam-5545	357	8	s	s	PRON
ejpam-5545	357	9	and	and	CCONJ
ejpam-5545	357	10	i	i	PRON
ejpam-5545	357	11	⊆	⊆	NUM
ejpam-5545	357	12	s.	s.	PROPN
ejpam-5545	357	13	then	then	ADV
ejpam-5545	357	14	:	:	PUNCT
ejpam-5545	357	15	(	(	PUNCT
ejpam-5545	357	16	1	1	X
ejpam-5545	357	17	)	)	PUNCT
ejpam-5545	357	18	lr	lr	X
ejpam-5545	357	19	(	(	PUNCT
ejpam-5545	357	20	i	i	NOUN
ejpam-5545	357	21	)	)	PUNCT
ejpam-5545	358	1	⊆	⊆	NUM
ejpam-5545	358	2	lb	lb	X
ejpam-5545	358	3	(	(	PUNCT
ejpam-5545	358	4	i	i	NOUN
ejpam-5545	358	5	)	)	PUNCT
ejpam-5545	358	6	⊆	⊆	NUM
ejpam-5545	358	7	i	i	NUM
ejpam-5545	358	8	⊆	⊆	NUM
ejpam-5545	358	9	ub	ub	PROPN
ejpam-5545	358	10	(	(	PUNCT
ejpam-5545	358	11	i	i	NOUN
ejpam-5545	358	12	)	)	PUNCT
ejpam-5545	358	13	⊆	⊆	X
ejpam-5545	358	14	ur	ur	INTJ
ejpam-5545	358	15	(	(	PUNCT
ejpam-5545	358	16	i	i	NOUN
ejpam-5545	358	17	)	)	PUNCT
ejpam-5545	358	18	.	.	PUNCT
ejpam-5545	359	1	(	(	PUNCT
ejpam-5545	359	2	2	2	X
ejpam-5545	359	3	)	)	PUNCT
ejpam-5545	359	4	bb	bb	NOUN
ejpam-5545	359	5	(	(	PUNCT
ejpam-5545	359	6	i	i	NOUN
ejpam-5545	359	7	)	)	PUNCT
ejpam-5545	359	8	⊆	⊆	NUM
ejpam-5545	359	9	br	br	NOUN
ejpam-5545	359	10	(	(	PUNCT
ejpam-5545	359	11	i	i	NOUN
ejpam-5545	359	12	)	)	PUNCT
ejpam-5545	359	13	and	and	CCONJ
ejpam-5545	359	14	ar	ar	PROPN
ejpam-5545	359	15	(	(	PUNCT
ejpam-5545	359	16	i	i	NOUN
ejpam-5545	359	17	)	)	PUNCT
ejpam-5545	359	18	≤	≤	PROPN
ejpam-5545	360	1	ab	ab	PROPN
ejpam-5545	360	2	(	(	PUNCT
ejpam-5545	360	3	i	i	NOUN
ejpam-5545	360	4	)	)	PUNCT
ejpam-5545	360	5	.	.	PUNCT
ejpam-5545	361	1	(	(	PUNCT
ejpam-5545	361	2	3	3	X
ejpam-5545	361	3	)	)	PUNCT
ejpam-5545	361	4	if	if	SCONJ
ejpam-5545	361	5	i	i	PRON
ejpam-5545	361	6	is	be	AUX
ejpam-5545	361	7	r	r	NOUN
ejpam-5545	361	8	-	-	PUNCT
ejpam-5545	361	9	exact	exact	ADJ
ejpam-5545	361	10	,	,	PUNCT
ejpam-5545	361	11	then	then	ADV
ejpam-5545	361	12	i	i	PRON
ejpam-5545	361	13	is	be	AUX
ejpam-5545	361	14	b	b	NOUN
ejpam-5545	361	15	-	-	PUNCT
ejpam-5545	361	16	exact	exact	ADJ
ejpam-5545	361	17	.	.	PUNCT
ejpam-5545	362	1	proof	proof	NOUN
ejpam-5545	362	2	.	.	PUNCT
ejpam-5545	363	1	we	we	PRON
ejpam-5545	363	2	will	will	AUX
ejpam-5545	363	3	start	start	VERB
ejpam-5545	363	4	by	by	ADP
ejpam-5545	363	5	proving	prove	VERB
ejpam-5545	363	6	the	the	DET
ejpam-5545	363	7	first	first	ADJ
ejpam-5545	363	8	statement	statement	NOUN
ejpam-5545	363	9	;	;	PUNCT
ejpam-5545	363	10	following	follow	VERB
ejpam-5545	363	11	proofs	proof	NOUN
ejpam-5545	363	12	will	will	AUX
ejpam-5545	363	13	use	use	VERB
ejpam-5545	363	14	similar	similar	ADJ
ejpam-5545	363	15	approaches	approach	NOUN
ejpam-5545	363	16	.	.	PUNCT
ejpam-5545	364	1	let	let	VERB
ejpam-5545	364	2	w	w	PRON
ejpam-5545	364	3	∈	∈	PROPN
ejpam-5545	364	4	lr	lr	X
ejpam-5545	364	5	(	(	PUNCT
ejpam-5545	364	6	i	i	NOUN
ejpam-5545	364	7	)	)	PUNCT
ejpam-5545	364	8	,	,	PUNCT
ejpam-5545	364	9	implying	imply	VERB
ejpam-5545	364	10	℧	℧	NOUN
ejpam-5545	364	11	r	r	NOUN
ejpam-5545	364	12	(	(	PUNCT
ejpam-5545	364	13	w	w	NOUN
ejpam-5545	364	14	)	)	PUNCT
ejpam-5545	364	15	⊆	⊆	NUM
ejpam-5545	364	16	i.	i.	NOUN
ejpam-5545	364	17	thus	thus	ADV
ejpam-5545	364	18	,	,	PUNCT
ejpam-5545	364	19	by	by	ADP
ejpam-5545	364	20	lemma	lemma	PROPN
ejpam-5545	364	21	3	3	NUM
ejpam-5545	364	22	,	,	PUNCT
ejpam-5545	364	23	℧	℧	PROPN
ejpam-5545	364	24	b	b	X
ejpam-5545	364	25	(	(	PUNCT
ejpam-5545	364	26	w	w	NOUN
ejpam-5545	364	27	)	)	PUNCT
ejpam-5545	364	28	⊆	⊆	NUM
ejpam-5545	364	29	i	i	PROPN
ejpam-5545	364	30	,	,	PUNCT
ejpam-5545	364	31	implying	imply	VERB
ejpam-5545	364	32	w	w	PRON
ejpam-5545	364	33	∈	∈	ADJ
ejpam-5545	365	1	lb	lb	ADP
ejpam-5545	365	2	(	(	PUNCT
ejpam-5545	365	3	i	i	NOUN
ejpam-5545	365	4	)	)	PUNCT
ejpam-5545	365	5	.	.	PUNCT
ejpam-5545	366	1	therefore	therefore	ADV
ejpam-5545	366	2	,	,	PUNCT
ejpam-5545	366	3	lr	lr	INTJ
ejpam-5545	366	4	(	(	PUNCT
ejpam-5545	366	5	i	i	NOUN
ejpam-5545	366	6	)	)	PUNCT
ejpam-5545	366	7	⊆	⊆	NUM
ejpam-5545	366	8	lb	lb	X
ejpam-5545	366	9	(	(	PUNCT
ejpam-5545	366	10	i	i	NOUN
ejpam-5545	366	11	)	)	PUNCT
ejpam-5545	366	12	.	.	PUNCT
ejpam-5545	367	1	similarly	similarly	ADV
ejpam-5545	367	2	,	,	PUNCT
ejpam-5545	367	3	applying	apply	VERB
ejpam-5545	367	4	the	the	DET
ejpam-5545	367	5	same	same	ADJ
ejpam-5545	367	6	reasoning	reasoning	NOUN
ejpam-5545	367	7	,	,	PUNCT
ejpam-5545	367	8	we	we	PRON
ejpam-5545	367	9	deduce	deduce	VERB
ejpam-5545	367	10	ub	ub	INTJ
ejpam-5545	367	11	(	(	PUNCT
ejpam-5545	367	12	i	i	NOUN
ejpam-5545	367	13	)	)	PUNCT
ejpam-5545	367	14	⊆	⊆	X
ejpam-5545	367	15	ur	ur	INTJ
ejpam-5545	367	16	(	(	PUNCT
ejpam-5545	367	17	i	i	NOUN
ejpam-5545	367	18	)	)	PUNCT
ejpam-5545	367	19	.	.	PUNCT
ejpam-5545	368	1	note	note	NOUN
ejpam-5545	368	2	:	:	PUNCT
ejpam-5545	368	3	theorem	theorem	ADJ
ejpam-5545	368	4	4	4	NUM
ejpam-5545	368	5	illustrates	illustrate	VERB
ejpam-5545	368	6	the	the	DET
ejpam-5545	368	7	relationships	relationship	NOUN
ejpam-5545	368	8	between	between	ADP
ejpam-5545	368	9	yao	yao	PROPN
ejpam-5545	368	10	’s	’s	PART
ejpam-5545	368	11	approach	approach	NOUN
ejpam-5545	368	12	(	(	PUNCT
ejpam-5545	368	13	r	r	NOUN
ejpam-5545	368	14	-	-	PUNCT
ejpam-5545	368	15	approximations	approximation	NOUN
ejpam-5545	368	16	)	)	PUNCT
ejpam-5545	368	17	and	and	CCONJ
ejpam-5545	368	18	abu	abu	PROPN
ejpam-5545	368	19	-	-	PUNCT
ejpam-5545	368	20	gdairi	gdairi	PROPN
ejpam-5545	368	21	approach	approach	NOUN
ejpam-5545	368	22	(	(	PUNCT
ejpam-5545	368	23	b	b	NOUN
ejpam-5545	368	24	-	-	PUNCT
ejpam-5545	368	25	approximations	approximation	NOUN
ejpam-5545	368	26	)	)	PUNCT
ejpam-5545	368	27	in	in	ADP
ejpam-5545	368	28	the	the	DET
ejpam-5545	368	29	case	case	NOUN
ejpam-5545	368	30	of	of	ADP
ejpam-5545	368	31	reflexivity	reflexivity	NOUN
ejpam-5545	368	32	of	of	ADP
ejpam-5545	368	33	the	the	DET
ejpam-5545	368	34	relation	relation	NOUN
ejpam-5545	368	35	.	.	PUNCT
ejpam-5545	369	1	theorem	theorem	NOUN
ejpam-5545	369	2	5	5	NUM
ejpam-5545	369	3	.	.	PUNCT
ejpam-5545	369	4	suppose	suppose	VERB
ejpam-5545	369	5	that	that	SCONJ
ejpam-5545	369	6	θ	θ	PROPN
ejpam-5545	369	7	is	be	AUX
ejpam-5545	369	8	a	a	DET
ejpam-5545	369	9	reflexive	reflexive	ADJ
ejpam-5545	369	10	relation	relation	NOUN
ejpam-5545	369	11	on	on	ADP
ejpam-5545	369	12	s.	s.	PROPN
ejpam-5545	369	13	then	then	ADV
ejpam-5545	369	14	:	:	PUNCT
ejpam-5545	369	15	(	(	PUNCT
ejpam-5545	369	16	1	1	X
ejpam-5545	369	17	)	)	PUNCT
ejpam-5545	369	18	lr	lr	X
ejpam-5545	369	19	(	(	PUNCT
ejpam-5545	369	20	i	i	NOUN
ejpam-5545	369	21	)	)	PUNCT
ejpam-5545	369	22	⊆	⊆	NUM
ejpam-5545	369	23	β	β	SYM
ejpam-5545	369	24	b	b	X
ejpam-5545	369	25	(	(	PUNCT
ejpam-5545	369	26	i	i	NOUN
ejpam-5545	369	27	)	)	PUNCT
ejpam-5545	370	1	⊆	⊆	NUM
ejpam-5545	370	2	i	i	NOUN
ejpam-5545	370	3	⊆	⊆	NUM
ejpam-5545	370	4	βb	βb	PRON
ejpam-5545	370	5	(	(	PUNCT
ejpam-5545	370	6	i	i	NOUN
ejpam-5545	370	7	)	)	PUNCT
ejpam-5545	370	8	⊆	⊆	X
ejpam-5545	370	9	ur	ur	INTJ
ejpam-5545	370	10	(	(	PUNCT
ejpam-5545	370	11	i	i	NOUN
ejpam-5545	370	12	)	)	PUNCT
ejpam-5545	370	13	.	.	PUNCT
ejpam-5545	371	1	(	(	PUNCT
ejpam-5545	371	2	2	2	X
ejpam-5545	371	3	)	)	PUNCT
ejpam-5545	371	4	bβb	bβb	NOUN
ejpam-5545	371	5	(	(	PUNCT
ejpam-5545	371	6	i	i	NOUN
ejpam-5545	371	7	)	)	PUNCT
ejpam-5545	371	8	⊆	⊆	NUM
ejpam-5545	371	9	br	br	NOUN
ejpam-5545	371	10	(	(	PUNCT
ejpam-5545	371	11	i	i	NOUN
ejpam-5545	371	12	)	)	PUNCT
ejpam-5545	371	13	and	and	CCONJ
ejpam-5545	371	14	ar	ar	PROPN
ejpam-5545	371	15	(	(	PUNCT
ejpam-5545	371	16	i	i	NOUN
ejpam-5545	371	17	)	)	PUNCT
ejpam-5545	371	18	≤	≤	NUM
ejpam-5545	371	19	aβb	aβb	VERB
ejpam-5545	371	20	(	(	PUNCT
ejpam-5545	371	21	i	i	NOUN
ejpam-5545	371	22	)	)	PUNCT
ejpam-5545	371	23	.	.	PUNCT
ejpam-5545	372	1	(	(	PUNCT
ejpam-5545	372	2	3	3	X
ejpam-5545	372	3	)	)	PUNCT
ejpam-5545	372	4	if	if	SCONJ
ejpam-5545	372	5	i	i	PRON
ejpam-5545	372	6	is	be	AUX
ejpam-5545	372	7	r	r	NOUN
ejpam-5545	372	8	-	-	PUNCT
ejpam-5545	372	9	exact	exact	ADJ
ejpam-5545	372	10	,	,	PUNCT
ejpam-5545	372	11	then	then	ADV
ejpam-5545	372	12	i	i	PRON
ejpam-5545	372	13	is	be	AUX
ejpam-5545	372	14	βb	βb	ADJ
ejpam-5545	372	15	-	-	PUNCT
ejpam-5545	372	16	exact	exact	ADJ
ejpam-5545	372	17	.	.	PUNCT
ejpam-5545	373	1	proof	proof	NOUN
ejpam-5545	373	2	.	.	PUNCT
ejpam-5545	374	1	by	by	ADP
ejpam-5545	374	2	using	use	VERB
ejpam-5545	374	3	theorem	theorem	ADJ
ejpam-5545	374	4	2	2	NUM
ejpam-5545	374	5	and	and	CCONJ
ejpam-5545	374	6	theorem	theorem	VERB
ejpam-5545	374	7	4	4	NUM
ejpam-5545	374	8	,	,	PUNCT
ejpam-5545	374	9	the	the	DET
ejpam-5545	374	10	proof	proof	NOUN
ejpam-5545	374	11	is	be	AUX
ejpam-5545	374	12	straightforward	straightforward	ADJ
ejpam-5545	374	13	.	.	PUNCT
ejpam-5545	375	1	m.	m.	NOUN
ejpam-5545	375	2	k.	k.	PROPN
ejpam-5545	376	1	el	el	PROPN
ejpam-5545	376	2	-	-	PROPN
ejpam-5545	376	3	bably	bably	PROPN
ejpam-5545	376	4	et	et	PROPN
ejpam-5545	376	5	al	al	PROPN
ejpam-5545	376	6	.	.	PUNCT
ejpam-5545	376	7	/	/	SYM
ejpam-5545	376	8	eur	eur	PROPN
ejpam-5545	376	9	.	.	PUNCT
ejpam-5545	377	1	j.	j.	PROPN
ejpam-5545	377	2	pure	pure	PROPN
ejpam-5545	377	3	appl	appl	PROPN
ejpam-5545	377	4	.	.	PROPN
ejpam-5545	377	5	math	math	PROPN
ejpam-5545	377	6	,	,	PUNCT
ejpam-5545	377	7	17	17	NUM
ejpam-5545	377	8	(	(	PUNCT
ejpam-5545	377	9	4	4	NUM
ejpam-5545	377	10	)	)	PUNCT
ejpam-5545	377	11	(	(	PUNCT
ejpam-5545	377	12	2024	2024	NUM
ejpam-5545	377	13	)	)	PUNCT
ejpam-5545	377	14	,	,	PUNCT
ejpam-5545	377	15	3743	3743	NUM
ejpam-5545	377	16	-	-	SYM
ejpam-5545	377	17	3771	3771	NUM
ejpam-5545	377	18	3756	3756	NUM
ejpam-5545	377	19	remark	remark	NOUN
ejpam-5545	377	20	4	4	NUM
ejpam-5545	377	21	.	.	PUNCT
ejpam-5545	378	1	the	the	DET
ejpam-5545	378	2	opposite	opposite	NOUN
ejpam-5545	378	3	of	of	ADP
ejpam-5545	378	4	the	the	DET
ejpam-5545	378	5	previous	previous	ADJ
ejpam-5545	378	6	consequences	consequence	NOUN
ejpam-5545	378	7	is	be	AUX
ejpam-5545	378	8	not	not	PART
ejpam-5545	378	9	necessarily	necessarily	ADV
ejpam-5545	378	10	correct	correct	ADJ
ejpam-5545	378	11	,	,	PUNCT
ejpam-5545	378	12	as	as	SCONJ
ejpam-5545	378	13	confirmed	confirm	VERB
ejpam-5545	378	14	in	in	ADP
ejpam-5545	378	15	example	example	NOUN
ejpam-5545	378	16	4	4	NUM
ejpam-5545	378	17	.	.	NOUN
ejpam-5545	378	18	example	example	NOUN
ejpam-5545	378	19	4	4	NUM
ejpam-5545	378	20	.	.	PUNCT
ejpam-5545	378	21	referring	refer	VERB
ejpam-5545	378	22	to	to	ADP
ejpam-5545	378	23	example	example	NOUN
ejpam-5545	378	24	3	3	NUM
ejpam-5545	378	25	,	,	PUNCT
ejpam-5545	378	26	where	where	SCONJ
ejpam-5545	378	27	the	the	DET
ejpam-5545	378	28	relation	relation	NOUN
ejpam-5545	378	29	is	be	AUX
ejpam-5545	378	30	reflexive	reflexive	ADJ
ejpam-5545	378	31	on	on	ADP
ejpam-5545	378	32	s	s	PRON
ejpam-5545	378	33	,	,	PUNCT
ejpam-5545	378	34	we	we	PRON
ejpam-5545	378	35	obtain	obtain	VERB
ejpam-5545	378	36	the	the	DET
ejpam-5545	378	37	rneighborhoods	rneighborhood	NOUN
ejpam-5545	378	38	as	as	SCONJ
ejpam-5545	378	39	follows	follow	VERB
ejpam-5545	378	40	:	:	PUNCT
ejpam-5545	379	1	℧	℧	ADP
ejpam-5545	379	2	r	r	X
ejpam-5545	379	3	(	(	PUNCT
ejpam-5545	379	4	t	t	NOUN
ejpam-5545	379	5	)	)	PUNCT
ejpam-5545	379	6	=	=	PRON
ejpam-5545	379	7	{	{	PUNCT
ejpam-5545	379	8	t	t	PROPN
ejpam-5545	379	9	,	,	PUNCT
ejpam-5545	379	10	v	v	NOUN
ejpam-5545	379	11	,	,	PUNCT
ejpam-5545	379	12	w	w	NOUN
ejpam-5545	379	13	}	}	PUNCT
ejpam-5545	379	14	,	,	PUNCT
ejpam-5545	379	15	℧	℧	ADP
ejpam-5545	379	16	r	r	NOUN
ejpam-5545	379	17	(	(	PUNCT
ejpam-5545	379	18	u	u	NOUN
ejpam-5545	379	19	)	)	PUNCT
ejpam-5545	379	20	=	=	SYM
ejpam-5545	379	21	{	{	PUNCT
ejpam-5545	379	22	t	t	PROPN
ejpam-5545	379	23	,	,	PUNCT
ejpam-5545	379	24	u	u	NOUN
ejpam-5545	379	25	}	}	PUNCT
ejpam-5545	379	26	,	,	PUNCT
ejpam-5545	379	27	℧	℧	NOUN
ejpam-5545	379	28	r	r	NOUN
ejpam-5545	379	29	(	(	PUNCT
ejpam-5545	379	30	v	v	NOUN
ejpam-5545	379	31	)	)	PUNCT
ejpam-5545	379	32	=	=	SYM
ejpam-5545	379	33	{	{	PUNCT
ejpam-5545	379	34	v	v	NOUN
ejpam-5545	379	35	,	,	PUNCT
ejpam-5545	379	36	w	w	NOUN
ejpam-5545	379	37	}	}	PUNCT
ejpam-5545	379	38	,	,	PUNCT
ejpam-5545	379	39	and	and	CCONJ
ejpam-5545	380	1	℧	℧	ADP
ejpam-5545	380	2	r	r	NOUN
ejpam-5545	380	3	(	(	PUNCT
ejpam-5545	380	4	w	w	NOUN
ejpam-5545	380	5	)	)	PUNCT
ejpam-5545	380	6	=	=	SYM
ejpam-5545	380	7	{	{	PUNCT
ejpam-5545	380	8	v	v	NOUN
ejpam-5545	380	9	,	,	PUNCT
ejpam-5545	380	10	w	w	NOUN
ejpam-5545	380	11	}	}	PUNCT
ejpam-5545	380	12	.	.	PUNCT
ejpam-5545	381	1	therefore	therefore	ADV
ejpam-5545	381	2	,	,	PUNCT
ejpam-5545	381	3	a	a	DET
ejpam-5545	381	4	comparison	comparison	NOUN
ejpam-5545	381	5	among	among	ADP
ejpam-5545	381	6	the	the	DET
ejpam-5545	381	7	preceding	precede	VERB
ejpam-5545	381	8	yao	yao	PROPN
ejpam-5545	381	9	’s	’s	PART
ejpam-5545	381	10	approach	approach	NOUN
ejpam-5545	381	11	(	(	PUNCT
ejpam-5545	381	12	r	r	NOUN
ejpam-5545	381	13	-	-	PUNCT
ejpam-5545	381	14	approximations	approximation	NOUN
ejpam-5545	381	15	[	[	X
ejpam-5545	381	16	65	65	NUM
ejpam-5545	381	17	]	]	PUNCT
ejpam-5545	381	18	)	)	PUNCT
ejpam-5545	381	19	and	and	CCONJ
ejpam-5545	381	20	the	the	DET
ejpam-5545	381	21	proposed	propose	VERB
ejpam-5545	381	22	method	method	NOUN
ejpam-5545	381	23	(	(	PUNCT
ejpam-5545	381	24	βb	βb	ADJ
ejpam-5545	381	25	-	-	PUNCT
ejpam-5545	381	26	accuracy	accuracy	NOUN
ejpam-5545	381	27	)	)	PUNCT
ejpam-5545	381	28	is	be	AUX
ejpam-5545	381	29	explained	explain	VERB
ejpam-5545	381	30	in	in	ADP
ejpam-5545	381	31	table	table	NOUN
ejpam-5545	381	32	3	3	NUM
ejpam-5545	381	33	.	.	PUNCT
ejpam-5545	381	34	table	table	NOUN
ejpam-5545	381	35	3	3	NUM
ejpam-5545	381	36	:	:	PUNCT
ejpam-5545	381	37	comparisons	comparison	NOUN
ejpam-5545	381	38	between	between	ADP
ejpam-5545	381	39	the	the	DET
ejpam-5545	381	40	technique	technique	NOUN
ejpam-5545	381	41	of	of	ADP
ejpam-5545	381	42	yao	yao	NOUN
ejpam-5545	382	1	[	[	X
ejpam-5545	382	2	65	65	NUM
ejpam-5545	382	3	]	]	PUNCT
ejpam-5545	382	4	and	and	CCONJ
ejpam-5545	382	5	the	the	DET
ejpam-5545	382	6	current	current	ADJ
ejpam-5545	382	7	technique	technique	NOUN
ejpam-5545	382	8	.	.	PUNCT
ejpam-5545	383	1	i	i	PRON
ejpam-5545	383	2	⊆	⊆	NUM
ejpam-5545	383	3	s	s	PART
ejpam-5545	383	4	yao	yao	NOUN
ejpam-5545	383	5	method	method	VERB
ejpam-5545	383	6	existing	exist	VERB
ejpam-5545	383	7	method	method	NOUN
ejpam-5545	383	8	ar	ar	NOUN
ejpam-5545	383	9	(	(	PUNCT
ejpam-5545	383	10	i	i	NOUN
ejpam-5545	383	11	)	)	PUNCT
ejpam-5545	383	12	aβb	aβb	VERB
ejpam-5545	383	13	(	(	PUNCT
ejpam-5545	383	14	i	i	NOUN
ejpam-5545	383	15	)	)	PUNCT
ejpam-5545	383	16	{	{	PUNCT
ejpam-5545	383	17	t	t	X
ejpam-5545	383	18	}	}	PUNCT
ejpam-5545	383	19	0	0	NUM
ejpam-5545	383	20	0	0	NUM
ejpam-5545	383	21	{	{	PUNCT
ejpam-5545	383	22	u	u	NOUN
ejpam-5545	383	23	}	}	PUNCT
ejpam-5545	383	24	0	0	NUM
ejpam-5545	383	25	1	1	NUM
ejpam-5545	383	26	{	{	PUNCT
ejpam-5545	383	27	v	v	NOUN
ejpam-5545	383	28	}	}	PUNCT
ejpam-5545	383	29	0	0	NUM
ejpam-5545	383	30	1	1	NUM
ejpam-5545	383	31	{	{	PUNCT
ejpam-5545	383	32	w	w	NOUN
ejpam-5545	383	33	}	}	PUNCT
ejpam-5545	383	34	0	0	NUM
ejpam-5545	383	35	1	1	NUM
ejpam-5545	383	36	{	{	PUNCT
ejpam-5545	383	37	t	t	PROPN
ejpam-5545	383	38	,	,	PUNCT
ejpam-5545	383	39	u	u	NOUN
ejpam-5545	383	40	}	}	PUNCT
ejpam-5545	383	41	1	1	NUM
ejpam-5545	383	42	2	2	NUM
ejpam-5545	383	43	1	1	NUM
ejpam-5545	383	44	2	2	NUM
ejpam-5545	383	45	{	{	PUNCT
ejpam-5545	383	46	t	t	PROPN
ejpam-5545	383	47	,	,	PUNCT
ejpam-5545	383	48	v	v	NOUN
ejpam-5545	383	49	}	}	PUNCT
ejpam-5545	383	50	0	0	NUM
ejpam-5545	383	51	1	1	NUM
ejpam-5545	383	52	{	{	PUNCT
ejpam-5545	383	53	t	t	PROPN
ejpam-5545	383	54	,	,	PUNCT
ejpam-5545	383	55	w	w	NOUN
ejpam-5545	383	56	}	}	PUNCT
ejpam-5545	383	57	0	0	NUM
ejpam-5545	383	58	1	1	NUM
ejpam-5545	383	59	{	{	PUNCT
ejpam-5545	383	60	u	u	NOUN
ejpam-5545	383	61	,	,	PUNCT
ejpam-5545	383	62	v	v	NOUN
ejpam-5545	383	63	}	}	PUNCT
ejpam-5545	383	64	0	0	NUM
ejpam-5545	383	65	1	1	NUM
ejpam-5545	383	66	{	{	PUNCT
ejpam-5545	383	67	u	u	NOUN
ejpam-5545	383	68	,	,	PUNCT
ejpam-5545	383	69	w	w	NOUN
ejpam-5545	383	70	}	}	PUNCT
ejpam-5545	383	71	0	0	NUM
ejpam-5545	383	72	1	1	NUM
ejpam-5545	383	73	{	{	PUNCT
ejpam-5545	383	74	v	v	NOUN
ejpam-5545	383	75	,	,	PUNCT
ejpam-5545	383	76	w	w	NOUN
ejpam-5545	383	77	}	}	PUNCT
ejpam-5545	383	78	2	2	NUM
ejpam-5545	383	79	3	3	NUM
ejpam-5545	383	80	2	2	NUM
ejpam-5545	383	81	3	3	NUM
ejpam-5545	383	82	{	{	PUNCT
ejpam-5545	383	83	t	t	PROPN
ejpam-5545	383	84	,	,	PUNCT
ejpam-5545	383	85	u	u	NOUN
ejpam-5545	383	86	,	,	PUNCT
ejpam-5545	383	87	v	v	NOUN
ejpam-5545	383	88	}	}	PUNCT
ejpam-5545	383	89	1	1	NUM
ejpam-5545	383	90	4	4	NUM
ejpam-5545	383	91	1	1	NUM
ejpam-5545	383	92	{	{	PUNCT
ejpam-5545	383	93	t	t	PROPN
ejpam-5545	383	94	,	,	PUNCT
ejpam-5545	383	95	u	u	NOUN
ejpam-5545	383	96	,	,	PUNCT
ejpam-5545	383	97	w	w	NOUN
ejpam-5545	383	98	}	}	PUNCT
ejpam-5545	383	99	1	1	NUM
ejpam-5545	383	100	4	4	NUM
ejpam-5545	383	101	1	1	NUM
ejpam-5545	383	102	{	{	PUNCT
ejpam-5545	383	103	t	t	PROPN
ejpam-5545	383	104	,	,	PUNCT
ejpam-5545	383	105	v	v	NOUN
ejpam-5545	383	106	,	,	PUNCT
ejpam-5545	383	107	w	w	NOUN
ejpam-5545	383	108	}	}	PUNCT
ejpam-5545	383	109	3	3	NUM
ejpam-5545	383	110	4	4	NUM
ejpam-5545	383	111	1	1	NUM
ejpam-5545	383	112	{	{	PUNCT
ejpam-5545	383	113	u	u	NOUN
ejpam-5545	383	114	,	,	PUNCT
ejpam-5545	383	115	v	v	NOUN
ejpam-5545	383	116	,	,	PUNCT
ejpam-5545	383	117	w	w	NOUN
ejpam-5545	383	118	}	}	PUNCT
ejpam-5545	383	119	1	1	NUM
ejpam-5545	383	120	2	2	NUM
ejpam-5545	383	121	3	3	NUM
ejpam-5545	383	122	4	4	NUM
ejpam-5545	383	123	s	s	NOUN
ejpam-5545	383	124	1	1	NUM
ejpam-5545	383	125	1	1	NUM
ejpam-5545	383	126	d.	d.	NOUN
ejpam-5545	383	127	comparing	compare	VERB
ejpam-5545	383	128	the	the	DET
ejpam-5545	383	129	method	method	NOUN
ejpam-5545	383	130	of	of	ADP
ejpam-5545	383	131	abd	abd	PROPN
ejpam-5545	383	132	el	el	PROPN
ejpam-5545	383	133	-	-	PROPN
ejpam-5545	383	134	monsef	monsef	PROPN
ejpam-5545	383	135	et	et	PROPN
ejpam-5545	383	136	al	al	PROPN
ejpam-5545	383	137	.	.	PROPN
ejpam-5545	384	1	with	with	ADP
ejpam-5545	384	2	the	the	DET
ejpam-5545	384	3	provided	provide	VERB
ejpam-5545	384	4	approach	approach	NOUN
ejpam-5545	384	5	.	.	PUNCT
ejpam-5545	385	1	this	this	DET
ejpam-5545	385	2	subsection	subsection	NOUN
ejpam-5545	385	3	conducts	conduct	VERB
ejpam-5545	385	4	a	a	DET
ejpam-5545	385	5	comparative	comparative	ADJ
ejpam-5545	385	6	analysis	analysis	NOUN
ejpam-5545	385	7	between	between	ADP
ejpam-5545	385	8	the	the	DET
ejpam-5545	385	9	technique	technique	NOUN
ejpam-5545	385	10	of	of	ADP
ejpam-5545	385	11	abd	abd	PROPN
ejpam-5545	385	12	elmonsef	elmonsef	PROPN
ejpam-5545	385	13	et	et	PROPN
ejpam-5545	385	14	al	al	PROPN
ejpam-5545	385	15	.	.	PUNCT
ejpam-5545	386	1	[	[	X
ejpam-5545	386	2	40	40	NUM
ejpam-5545	386	3	]	]	PUNCT
ejpam-5545	386	4	and	and	CCONJ
ejpam-5545	386	5	the	the	DET
ejpam-5545	386	6	proposed	propose	VERB
ejpam-5545	386	7	technique	technique	NOUN
ejpam-5545	386	8	.	.	PUNCT
ejpam-5545	387	1	both	both	PRON
ejpam-5545	387	2	the	the	DET
ejpam-5545	387	3	established	establish	VERB
ejpam-5545	387	4	theorem	theorem	NOUN
ejpam-5545	387	5	and	and	CCONJ
ejpam-5545	387	6	the	the	DET
ejpam-5545	387	7	illustrative	illustrative	ADJ
ejpam-5545	387	8	example	example	NOUN
ejpam-5545	387	9	demonstrate	demonstrate	VERB
ejpam-5545	387	10	that	that	SCONJ
ejpam-5545	387	11	the	the	DET
ejpam-5545	387	12	proposed	propose	VERB
ejpam-5545	387	13	techniques	technique	NOUN
ejpam-5545	387	14	exhibit	exhibit	VERB
ejpam-5545	387	15	greater	great	ADJ
ejpam-5545	387	16	accuracy	accuracy	NOUN
ejpam-5545	387	17	than	than	ADP
ejpam-5545	387	18	those	those	PRON
ejpam-5545	387	19	of	of	ADP
ejpam-5545	387	20	abd	abd	PROPN
ejpam-5545	387	21	el	el	PROPN
ejpam-5545	387	22	-	-	PROPN
ejpam-5545	387	23	monsef	monsef	PROPN
ejpam-5545	387	24	et	et	PROPN
ejpam-5545	387	25	al	al	PROPN
ejpam-5545	387	26	.	.	PROPN
ejpam-5545	388	1	theorem	theorem	VERB
ejpam-5545	388	2	6	6	NUM
ejpam-5545	388	3	.	.	PUNCT
ejpam-5545	389	1	let	let	VERB
ejpam-5545	389	2	θ	θ	NOUN
ejpam-5545	389	3	be	be	AUX
ejpam-5545	389	4	a	a	DET
ejpam-5545	389	5	reflexive	reflexive	ADJ
ejpam-5545	389	6	relation	relation	NOUN
ejpam-5545	389	7	on	on	ADP
ejpam-5545	389	8	s	s	PRON
ejpam-5545	389	9	and	and	CCONJ
ejpam-5545	389	10	tr	tr	PRON
ejpam-5545	389	11	is	be	AUX
ejpam-5545	389	12	the	the	DET
ejpam-5545	389	13	topology	topology	NOUN
ejpam-5545	389	14	created	create	VERB
ejpam-5545	389	15	by	by	ADP
ejpam-5545	389	16	θ	θ	PROPN
ejpam-5545	389	17	.	.	PUNCT
ejpam-5545	390	1	then	then	ADV
ejpam-5545	390	2	,	,	PUNCT
ejpam-5545	390	3	∀i	∀i	NOUN
ejpam-5545	390	4	⊆	⊆	NUM
ejpam-5545	390	5	s	s	NOUN
ejpam-5545	390	6	:	:	PUNCT
ejpam-5545	390	7	(	(	PUNCT
ejpam-5545	390	8	1	1	X
ejpam-5545	390	9	)	)	PUNCT
ejpam-5545	390	10	t	t	NOUN
ejpam-5545	390	11	r	r	NOUN
ejpam-5545	390	12	(	(	PUNCT
ejpam-5545	390	13	i	i	NOUN
ejpam-5545	390	14	)	)	PUNCT
ejpam-5545	390	15	⊆	⊆	NUM
ejpam-5545	390	16	β	β	SYM
ejpam-5545	390	17	b	b	X
ejpam-5545	390	18	(	(	PUNCT
ejpam-5545	390	19	i	i	NOUN
ejpam-5545	390	20	)	)	PUNCT
ejpam-5545	391	1	⊆	⊆	NUM
ejpam-5545	391	2	i	i	NOUN
ejpam-5545	391	3	⊆	⊆	NUM
ejpam-5545	391	4	βb	βb	PRON
ejpam-5545	391	5	(	(	PUNCT
ejpam-5545	391	6	i	i	NOUN
ejpam-5545	391	7	)	)	PUNCT
ejpam-5545	391	8	⊆	⊆	NUM
ejpam-5545	391	9	t	t	NOUN
ejpam-5545	391	10	r	r	NOUN
ejpam-5545	391	11	(	(	PUNCT
ejpam-5545	391	12	i	i	NOUN
ejpam-5545	391	13	)	)	PUNCT
ejpam-5545	391	14	.	.	PUNCT
ejpam-5545	392	1	(	(	PUNCT
ejpam-5545	392	2	2	2	X
ejpam-5545	392	3	)	)	PUNCT
ejpam-5545	392	4	bβb	bβb	NOUN
ejpam-5545	392	5	(	(	PUNCT
ejpam-5545	392	6	i	i	NOUN
ejpam-5545	392	7	)	)	PUNCT
ejpam-5545	392	8	⊆	⊆	NUM
ejpam-5545	392	9	btr	btr	X
ejpam-5545	392	10	(	(	PUNCT
ejpam-5545	392	11	i	i	NOUN
ejpam-5545	392	12	)	)	PUNCT
ejpam-5545	392	13	and	and	CCONJ
ejpam-5545	392	14	atr	atr	PROPN
ejpam-5545	392	15	(	(	PUNCT
ejpam-5545	392	16	i	i	NOUN
ejpam-5545	392	17	)	)	PUNCT
ejpam-5545	392	18	≤	≤	NUM
ejpam-5545	392	19	aβb	aβb	VERB
ejpam-5545	392	20	(	(	PUNCT
ejpam-5545	392	21	i	i	NOUN
ejpam-5545	392	22	)	)	PUNCT
ejpam-5545	392	23	.	.	PUNCT
ejpam-5545	393	1	(	(	PUNCT
ejpam-5545	393	2	3	3	X
ejpam-5545	393	3	)	)	PUNCT
ejpam-5545	393	4	if	if	SCONJ
ejpam-5545	393	5	i	i	PRON
ejpam-5545	393	6	is	be	AUX
ejpam-5545	393	7	r	r	NOUN
ejpam-5545	393	8	-	-	PUNCT
ejpam-5545	393	9	exact	exact	ADJ
ejpam-5545	393	10	,	,	PUNCT
ejpam-5545	393	11	then	then	ADV
ejpam-5545	393	12	i	i	PRON
ejpam-5545	393	13	is	be	AUX
ejpam-5545	393	14	βb	βb	ADJ
ejpam-5545	393	15	-	-	PUNCT
ejpam-5545	393	16	exact	exact	ADJ
ejpam-5545	393	17	.	.	PUNCT
ejpam-5545	394	1	proof	proof	NOUN
ejpam-5545	394	2	.	.	PUNCT
ejpam-5545	395	1	the	the	DET
ejpam-5545	395	2	proof	proof	NOUN
ejpam-5545	395	3	follows	follow	VERB
ejpam-5545	395	4	straightforwardly	straightforwardly	ADV
ejpam-5545	395	5	from	from	ADP
ejpam-5545	395	6	theorem	theorem	ADJ
ejpam-5545	395	7	4	4	NUM
ejpam-5545	395	8	.	.	PUNCT
ejpam-5545	396	1	m.	m.	PROPN
ejpam-5545	396	2	k.	k.	PROPN
ejpam-5545	397	1	el	el	PROPN
ejpam-5545	397	2	-	-	PROPN
ejpam-5545	397	3	bably	bably	PROPN
ejpam-5545	397	4	et	et	PROPN
ejpam-5545	397	5	al	al	PROPN
ejpam-5545	397	6	.	.	PUNCT
ejpam-5545	397	7	/	/	SYM
ejpam-5545	397	8	eur	eur	PROPN
ejpam-5545	397	9	.	.	PUNCT
ejpam-5545	398	1	j.	j.	PROPN
ejpam-5545	398	2	pure	pure	PROPN
ejpam-5545	398	3	appl	appl	PROPN
ejpam-5545	398	4	.	.	PROPN
ejpam-5545	398	5	math	math	PROPN
ejpam-5545	398	6	,	,	PUNCT
ejpam-5545	398	7	17	17	NUM
ejpam-5545	398	8	(	(	PUNCT
ejpam-5545	398	9	4	4	NUM
ejpam-5545	398	10	)	)	PUNCT
ejpam-5545	398	11	(	(	PUNCT
ejpam-5545	398	12	2024	2024	NUM
ejpam-5545	398	13	)	)	PUNCT
ejpam-5545	398	14	,	,	PUNCT
ejpam-5545	398	15	3743	3743	NUM
ejpam-5545	398	16	-	-	SYM
ejpam-5545	398	17	3771	3771	NUM
ejpam-5545	398	18	3757	3757	NUM
ejpam-5545	398	19	remark	remark	NOUN
ejpam-5545	398	20	5	5	NUM
ejpam-5545	398	21	.	.	PUNCT
ejpam-5545	399	1	the	the	DET
ejpam-5545	399	2	converse	converse	NOUN
ejpam-5545	399	3	of	of	ADP
ejpam-5545	399	4	the	the	DET
ejpam-5545	399	5	previous	previous	ADJ
ejpam-5545	399	6	consequences	consequence	NOUN
ejpam-5545	399	7	does	do	AUX
ejpam-5545	399	8	not	not	PART
ejpam-5545	399	9	generally	generally	ADV
ejpam-5545	399	10	apply	apply	VERB
ejpam-5545	399	11	,	,	PUNCT
ejpam-5545	399	12	as	as	SCONJ
ejpam-5545	399	13	demonstrated	demonstrate	VERB
ejpam-5545	399	14	in	in	ADP
ejpam-5545	399	15	example	example	NOUN
ejpam-5545	399	16	5	5	NUM
ejpam-5545	399	17	.	.	PUNCT
ejpam-5545	399	18	example	example	NOUN
ejpam-5545	399	19	5	5	NUM
ejpam-5545	399	20	.	.	PUNCT
ejpam-5545	399	21	continuing	continue	VERB
ejpam-5545	399	22	with	with	ADP
ejpam-5545	399	23	example	example	NOUN
ejpam-5545	399	24	4	4	NUM
ejpam-5545	399	25	,	,	PUNCT
ejpam-5545	399	26	we	we	PRON
ejpam-5545	399	27	obtain	obtain	VERB
ejpam-5545	399	28	the	the	DET
ejpam-5545	399	29	topology	topology	NOUN
ejpam-5545	399	30	tr	tr	VERB
ejpam-5545	399	31	created	create	VERB
ejpam-5545	399	32	by	by	ADP
ejpam-5545	399	33	θ	θ	PROPN
ejpam-5545	399	34	and	and	CCONJ
ejpam-5545	399	35	the	the	DET
ejpam-5545	399	36	family	family	NOUN
ejpam-5545	399	37	cr	cr	PROPN
ejpam-5545	399	38	of	of	ADP
ejpam-5545	399	39	all	all	DET
ejpam-5545	399	40	closed	closed	ADJ
ejpam-5545	399	41	sets	set	NOUN
ejpam-5545	399	42	as	as	SCONJ
ejpam-5545	399	43	follows	follow	VERB
ejpam-5545	399	44	:	:	PUNCT
ejpam-5545	399	45	tr	tr	VERB
ejpam-5545	399	46	=	=	X
ejpam-5545	399	47	{	{	PUNCT
ejpam-5545	399	48	s	s	NOUN
ejpam-5545	399	49	,	,	PUNCT
ejpam-5545	399	50	∅	∅	NOUN
ejpam-5545	399	51	,	,	PUNCT
ejpam-5545	399	52	{	{	PUNCT
ejpam-5545	399	53	v	v	NOUN
ejpam-5545	399	54	,	,	PUNCT
ejpam-5545	399	55	w	w	NOUN
ejpam-5545	399	56	}	}	PUNCT
ejpam-5545	399	57	,	,	PUNCT
ejpam-5545	399	58	{	{	PUNCT
ejpam-5545	399	59	t	t	PROPN
ejpam-5545	399	60	,	,	PUNCT
ejpam-5545	399	61	v	v	NOUN
ejpam-5545	399	62	,	,	PUNCT
ejpam-5545	399	63	w	w	NOUN
ejpam-5545	399	64	}	}	PUNCT
ejpam-5545	399	65	}	}	PUNCT
ejpam-5545	399	66	and	and	CCONJ
ejpam-5545	399	67	cr	cr	X
ejpam-5545	399	68	=	=	PUNCT
ejpam-5545	399	69	{	{	PUNCT
ejpam-5545	399	70	s	s	PROPN
ejpam-5545	399	71	,	,	PUNCT
ejpam-5545	399	72	∅	∅	NOUN
ejpam-5545	399	73	,	,	PUNCT
ejpam-5545	399	74	{	{	PUNCT
ejpam-5545	399	75	t	t	PROPN
ejpam-5545	399	76	,	,	PUNCT
ejpam-5545	399	77	u	u	NOUN
ejpam-5545	399	78	}	}	PUNCT
ejpam-5545	399	79	,	,	PUNCT
ejpam-5545	399	80	{	{	PUNCT
ejpam-5545	399	81	u	u	NOUN
ejpam-5545	399	82	}	}	PUNCT
ejpam-5545	399	83	}	}	PUNCT
ejpam-5545	399	84	.	.	PUNCT
ejpam-5545	400	1	accordingly	accordingly	ADV
ejpam-5545	400	2	,	,	PUNCT
ejpam-5545	400	3	we	we	PRON
ejpam-5545	400	4	compare	compare	VERB
ejpam-5545	400	5	the	the	DET
ejpam-5545	400	6	preceding	precede	VERB
ejpam-5545	400	7	approaches	approach	NOUN
ejpam-5545	400	8	(	(	PUNCT
ejpam-5545	400	9	abd	abd	PROPN
ejpam-5545	400	10	el	el	PROPN
ejpam-5545	400	11	-	-	PROPN
ejpam-5545	400	12	monsef	monsef	PROPN
ejpam-5545	400	13	et	et	PROPN
ejpam-5545	400	14	al	al	PROPN
ejpam-5545	400	15	.	.	PUNCT
ejpam-5545	401	1	[	[	X
ejpam-5545	401	2	40	40	NUM
ejpam-5545	401	3	]	]	PUNCT
ejpam-5545	401	4	)	)	PUNCT
ejpam-5545	401	5	(	(	PUNCT
ejpam-5545	401	6	trapproximations	trapproximation	NOUN
ejpam-5545	402	1	[	[	X
ejpam-5545	402	2	6	6	NUM
ejpam-5545	402	3	]	]	PUNCT
ejpam-5545	402	4	)	)	PUNCT
ejpam-5545	402	5	and	and	CCONJ
ejpam-5545	402	6	the	the	DET
ejpam-5545	402	7	provided	provide	VERB
ejpam-5545	402	8	technique	technique	NOUN
ejpam-5545	402	9	(	(	PUNCT
ejpam-5545	402	10	βb	βb	ADJ
ejpam-5545	402	11	-	-	PUNCT
ejpam-5545	402	12	accuracy	accuracy	NOUN
ejpam-5545	402	13	)	)	PUNCT
ejpam-5545	402	14	as	as	SCONJ
ejpam-5545	402	15	clarified	clarify	VERB
ejpam-5545	402	16	in	in	ADP
ejpam-5545	402	17	table	table	NOUN
ejpam-5545	402	18	4	4	NUM
ejpam-5545	402	19	.	.	PUNCT
ejpam-5545	402	20	table	table	NOUN
ejpam-5545	402	21	4	4	NUM
ejpam-5545	402	22	:	:	PUNCT
ejpam-5545	402	23	comparing	compare	VERB
ejpam-5545	402	24	abd	abd	PROPN
ejpam-5545	402	25	el	el	PROPN
ejpam-5545	402	26	-	-	PROPN
ejpam-5545	402	27	monsef	monsef	PROPN
ejpam-5545	403	1	et	et	PROPN
ejpam-5545	403	2	al	al	PROPN
ejpam-5545	403	3	.	.	PROPN
ejpam-5545	403	4	’s	’s	PART
ejpam-5545	403	5	technique	technique	NOUN
ejpam-5545	403	6	to	to	ADP
ejpam-5545	403	7	the	the	DET
ejpam-5545	403	8	planned	plan	VERB
ejpam-5545	403	9	method	method	NOUN
ejpam-5545	403	10	.	.	PUNCT
ejpam-5545	404	1	i	i	PRON
ejpam-5545	404	2	⊆	⊆	NUM
ejpam-5545	404	3	s	s	PROPN
ejpam-5545	404	4	abd	abd	PROPN
ejpam-5545	404	5	el	el	PROPN
ejpam-5545	404	6	-	-	PUNCT
ejpam-5545	404	7	monsef	monsef	ADJ
ejpam-5545	404	8	approaches	approach	VERB
ejpam-5545	404	9	existing	exist	VERB
ejpam-5545	404	10	methods	method	NOUN
ejpam-5545	404	11	atr	atr	X
ejpam-5545	404	12	(	(	PUNCT
ejpam-5545	404	13	i	i	NOUN
ejpam-5545	404	14	)	)	PUNCT
ejpam-5545	404	15	aβb	aβb	VERB
ejpam-5545	404	16	(	(	PUNCT
ejpam-5545	404	17	i	i	NOUN
ejpam-5545	404	18	)	)	PUNCT
ejpam-5545	404	19	{	{	PUNCT
ejpam-5545	404	20	t	t	X
ejpam-5545	404	21	}	}	PUNCT
ejpam-5545	404	22	0	0	NUM
ejpam-5545	404	23	0	0	NUM
ejpam-5545	404	24	{	{	PUNCT
ejpam-5545	404	25	u	u	NOUN
ejpam-5545	404	26	}	}	PUNCT
ejpam-5545	404	27	0	0	NUM
ejpam-5545	404	28	1	1	NUM
ejpam-5545	404	29	{	{	PUNCT
ejpam-5545	404	30	v	v	NOUN
ejpam-5545	404	31	}	}	PUNCT
ejpam-5545	404	32	0	0	NUM
ejpam-5545	404	33	1	1	NUM
ejpam-5545	404	34	{	{	PUNCT
ejpam-5545	404	35	w	w	NOUN
ejpam-5545	404	36	}	}	PUNCT
ejpam-5545	404	37	0	0	NUM
ejpam-5545	404	38	1	1	NUM
ejpam-5545	404	39	{	{	PUNCT
ejpam-5545	404	40	t	t	PROPN
ejpam-5545	404	41	,	,	PUNCT
ejpam-5545	404	42	u	u	NOUN
ejpam-5545	404	43	}	}	PUNCT
ejpam-5545	404	44	0	0	NUM
ejpam-5545	404	45	1	1	NUM
ejpam-5545	404	46	{	{	PUNCT
ejpam-5545	404	47	t	t	PROPN
ejpam-5545	404	48	,	,	PUNCT
ejpam-5545	404	49	v	v	NOUN
ejpam-5545	404	50	}	}	PUNCT
ejpam-5545	404	51	0	0	NUM
ejpam-5545	404	52	1	1	NUM
ejpam-5545	404	53	2	2	NUM
ejpam-5545	404	54	{	{	PUNCT
ejpam-5545	404	55	t	t	PROPN
ejpam-5545	404	56	,	,	PUNCT
ejpam-5545	404	57	w	w	NOUN
ejpam-5545	404	58	}	}	PUNCT
ejpam-5545	404	59	0	0	NUM
ejpam-5545	404	60	1	1	NUM
ejpam-5545	404	61	{	{	PUNCT
ejpam-5545	404	62	u	u	NOUN
ejpam-5545	404	63	,	,	PUNCT
ejpam-5545	404	64	v	v	NOUN
ejpam-5545	404	65	}	}	PUNCT
ejpam-5545	404	66	0	0	NUM
ejpam-5545	404	67	1	1	NUM
ejpam-5545	404	68	{	{	PUNCT
ejpam-5545	404	69	u	u	NOUN
ejpam-5545	404	70	,	,	PUNCT
ejpam-5545	404	71	w	w	NOUN
ejpam-5545	404	72	}	}	PUNCT
ejpam-5545	404	73	0	0	NUM
ejpam-5545	404	74	1	1	NUM
ejpam-5545	404	75	{	{	PUNCT
ejpam-5545	404	76	v	v	NOUN
ejpam-5545	404	77	,	,	PUNCT
ejpam-5545	404	78	w	w	NOUN
ejpam-5545	404	79	}	}	PUNCT
ejpam-5545	404	80	1	1	NUM
ejpam-5545	404	81	2	2	NUM
ejpam-5545	404	82	1	1	NUM
ejpam-5545	404	83	{	{	PUNCT
ejpam-5545	404	84	t	t	PROPN
ejpam-5545	404	85	,	,	PUNCT
ejpam-5545	404	86	u	u	NOUN
ejpam-5545	404	87	,	,	PUNCT
ejpam-5545	404	88	v	v	NOUN
ejpam-5545	404	89	}	}	PUNCT
ejpam-5545	404	90	0	0	NUM
ejpam-5545	404	91	1	1	NUM
ejpam-5545	404	92	{	{	PUNCT
ejpam-5545	404	93	t	t	PROPN
ejpam-5545	404	94	,	,	PUNCT
ejpam-5545	404	95	u	u	NOUN
ejpam-5545	404	96	,	,	PUNCT
ejpam-5545	404	97	w	w	NOUN
ejpam-5545	404	98	}	}	PUNCT
ejpam-5545	404	99	0	0	NUM
ejpam-5545	404	100	1	1	NUM
ejpam-5545	404	101	{	{	PUNCT
ejpam-5545	404	102	t	t	PROPN
ejpam-5545	404	103	,	,	PUNCT
ejpam-5545	404	104	v	v	NOUN
ejpam-5545	404	105	,	,	PUNCT
ejpam-5545	404	106	w	w	NOUN
ejpam-5545	404	107	}	}	PUNCT
ejpam-5545	404	108	3	3	NUM
ejpam-5545	404	109	4	4	NUM
ejpam-5545	404	110	1	1	NUM
ejpam-5545	404	111	{	{	PUNCT
ejpam-5545	404	112	u	u	NOUN
ejpam-5545	404	113	,	,	PUNCT
ejpam-5545	404	114	v	v	NOUN
ejpam-5545	404	115	,	,	PUNCT
ejpam-5545	404	116	w	w	NOUN
ejpam-5545	404	117	}	}	PUNCT
ejpam-5545	404	118	0	0	NUM
ejpam-5545	404	119	3	3	NUM
ejpam-5545	404	120	4	4	NUM
ejpam-5545	404	121	s	s	NOUN
ejpam-5545	404	122	1	1	NUM
ejpam-5545	404	123	1	1	NUM
ejpam-5545	404	124	concluding	concluding	NOUN
ejpam-5545	404	125	remarks	remark	VERB
ejpam-5545	404	126	:	:	PUNCT
ejpam-5545	404	127	from	from	ADP
ejpam-5545	404	128	the	the	DET
ejpam-5545	404	129	previous	previous	ADJ
ejpam-5545	404	130	comparisons	comparison	NOUN
ejpam-5545	404	131	,	,	PUNCT
ejpam-5545	404	132	several	several	ADJ
ejpam-5545	404	133	key	key	ADJ
ejpam-5545	404	134	observations	observation	NOUN
ejpam-5545	404	135	can	can	AUX
ejpam-5545	404	136	be	be	AUX
ejpam-5545	404	137	made	make	VERB
ejpam-5545	404	138	:	:	PUNCT
ejpam-5545	404	139	1	1	X
ejpam-5545	404	140	.	.	X
ejpam-5545	404	141	high	high	ADJ
ejpam-5545	404	142	accuracy	accuracy	NOUN
ejpam-5545	404	143	:	:	PUNCT
ejpam-5545	404	144	the	the	DET
ejpam-5545	404	145	proposed	propose	VERB
ejpam-5545	404	146	approach	approach	NOUN
ejpam-5545	404	147	(	(	PUNCT
ejpam-5545	404	148	βb	βb	ADJ
ejpam-5545	404	149	-	-	PUNCT
ejpam-5545	404	150	rough	rough	ADJ
ejpam-5545	404	151	sets	set	NOUN
ejpam-5545	404	152	)	)	PUNCT
ejpam-5545	404	153	surpasses	surpasse	NOUN
ejpam-5545	404	154	preceding	precede	VERB
ejpam-5545	404	155	approaches	approach	NOUN
ejpam-5545	404	156	(	(	PUNCT
ejpam-5545	404	157	yao	yao	NOUN
ejpam-5545	405	1	[	[	X
ejpam-5545	405	2	65	65	NUM
ejpam-5545	405	3	]	]	PUNCT
ejpam-5545	405	4	,	,	PUNCT
ejpam-5545	405	5	dai	dai	PROPN
ejpam-5545	405	6	et	et	PROPN
ejpam-5545	405	7	al	al	PROPN
ejpam-5545	405	8	.	.	PUNCT
ejpam-5545	406	1	[	[	X
ejpam-5545	406	2	27	27	NUM
ejpam-5545	406	3	]	]	PUNCT
ejpam-5545	406	4	,	,	PUNCT
ejpam-5545	406	5	and	and	CCONJ
ejpam-5545	406	6	abu	abu	PROPN
ejpam-5545	406	7	-	-	PUNCT
ejpam-5545	406	8	gadairi	gadairi	PROPN
ejpam-5545	406	9	[	[	X
ejpam-5545	406	10	8	8	NUM
ejpam-5545	406	11	]	]	PUNCT
ejpam-5545	406	12	)	)	PUNCT
ejpam-5545	406	13	in	in	ADP
ejpam-5545	406	14	terms	term	NOUN
ejpam-5545	406	15	of	of	ADP
ejpam-5545	406	16	accuracy	accuracy	NOUN
ejpam-5545	406	17	and	and	CCONJ
ejpam-5545	406	18	approximation	approximation	NOUN
ejpam-5545	406	19	operators	operator	NOUN
ejpam-5545	406	20	.	.	PUNCT
ejpam-5545	407	1	it	it	PRON
ejpam-5545	407	2	extends	extend	VERB
ejpam-5545	407	3	pawlak	pawlak	ADJ
ejpam-5545	407	4	’s	’s	PART
ejpam-5545	407	5	properties	property	NOUN
ejpam-5545	407	6	to	to	PART
ejpam-5545	407	7	applied	apply	VERB
ejpam-5545	407	8	problems	problem	NOUN
ejpam-5545	407	9	without	without	ADP
ejpam-5545	407	10	requiring	require	VERB
ejpam-5545	407	11	extra	extra	ADJ
ejpam-5545	407	12	conditions	condition	NOUN
ejpam-5545	407	13	.	.	PUNCT
ejpam-5545	408	1	2	2	X
ejpam-5545	408	2	.	.	X
ejpam-5545	408	3	easy	easy	ADJ
ejpam-5545	408	4	topological	topological	ADJ
ejpam-5545	408	5	techniques	technique	NOUN
ejpam-5545	408	6	:	:	PUNCT
ejpam-5545	408	7	these	these	DET
ejpam-5545	408	8	methods	method	NOUN
ejpam-5545	408	9	leverage	leverage	NOUN
ejpam-5545	408	10	induced	induce	VERB
ejpam-5545	408	11	topological	topological	ADJ
ejpam-5545	408	12	structures	structure	NOUN
ejpam-5545	408	13	,	,	PUNCT
ejpam-5545	408	14	making	make	VERB
ejpam-5545	408	15	them	they	PRON
ejpam-5545	408	16	valuable	valuable	ADJ
ejpam-5545	408	17	for	for	ADP
ejpam-5545	408	18	applying	apply	VERB
ejpam-5545	408	19	topological	topological	ADJ
ejpam-5545	408	20	ideas	idea	NOUN
ejpam-5545	408	21	in	in	ADP
ejpam-5545	408	22	rough	rough	ADJ
ejpam-5545	408	23	set	set	NOUN
ejpam-5545	408	24	approaches	approach	NOUN
ejpam-5545	408	25	.	.	PUNCT
ejpam-5545	409	1	their	their	PRON
ejpam-5545	409	2	accessibility	accessibility	NOUN
ejpam-5545	409	3	extends	extend	VERB
ejpam-5545	409	4	beyond	beyond	ADP
ejpam-5545	409	5	specialists	specialist	NOUN
ejpam-5545	409	6	in	in	ADP
ejpam-5545	409	7	topology	topology	NOUN
ejpam-5545	409	8	,	,	PUNCT
ejpam-5545	409	9	as	as	SCONJ
ejpam-5545	409	10	they	they	PRON
ejpam-5545	409	11	simplify	simplify	VERB
ejpam-5545	409	12	the	the	DET
ejpam-5545	409	13	presentation	presentation	NOUN
ejpam-5545	409	14	of	of	ADP
ejpam-5545	409	15	topological	topological	ADJ
ejpam-5545	409	16	approximations	approximation	NOUN
ejpam-5545	409	17	individually	individually	ADV
ejpam-5545	409	18	,	,	PUNCT
ejpam-5545	409	19	enabling	enable	VERB
ejpam-5545	409	20	the	the	DET
ejpam-5545	409	21	use	use	NOUN
ejpam-5545	409	22	of	of	ADP
ejpam-5545	409	23	rough	rough	ADJ
ejpam-5545	409	24	approximations	approximation	NOUN
ejpam-5545	409	25	(	(	PUNCT
ejpam-5545	409	26	βb	βb	ADJ
ejpam-5545	409	27	-	-	PUNCT
ejpam-5545	409	28	rough	rough	ADJ
ejpam-5545	409	29	sets	set	NOUN
ejpam-5545	409	30	)	)	PUNCT
ejpam-5545	409	31	without	without	ADP
ejpam-5545	409	32	requiring	require	VERB
ejpam-5545	409	33	advanced	advanced	ADJ
ejpam-5545	409	34	concepts	concept	NOUN
ejpam-5545	409	35	.	.	PUNCT
ejpam-5545	410	1	this	this	DET
ejpam-5545	410	2	simplification	simplification	NOUN
ejpam-5545	410	3	democratizes	democratize	VERB
ejpam-5545	410	4	the	the	DET
ejpam-5545	410	5	application	application	NOUN
ejpam-5545	410	6	of	of	ADP
ejpam-5545	410	7	rough	rough	ADJ
ejpam-5545	410	8	-	-	PUNCT
ejpam-5545	410	9	set	set	VERB
ejpam-5545	410	10	philosophies	philosophy	NOUN
ejpam-5545	410	11	,	,	PUNCT
ejpam-5545	410	12	making	make	VERB
ejpam-5545	410	13	them	they	PRON
ejpam-5545	410	14	available	available	ADJ
ejpam-5545	410	15	to	to	ADP
ejpam-5545	410	16	researchers	researcher	NOUN
ejpam-5545	410	17	without	without	ADP
ejpam-5545	410	18	extensive	extensive	ADJ
ejpam-5545	410	19	studies	study	NOUN
ejpam-5545	410	20	in	in	ADP
ejpam-5545	410	21	topology	topology	NOUN
ejpam-5545	410	22	.	.	PUNCT
ejpam-5545	411	1	while	while	SCONJ
ejpam-5545	411	2	topology	topology	NOUN
ejpam-5545	411	3	-	-	PUNCT
ejpam-5545	411	4	based	base	VERB
ejpam-5545	411	5	methods	method	NOUN
ejpam-5545	411	6	m.	m.	PROPN
ejpam-5545	411	7	k.	k.	PROPN
ejpam-5545	412	1	el	el	PROPN
ejpam-5545	412	2	-	-	PROPN
ejpam-5545	412	3	bably	bably	PROPN
ejpam-5545	412	4	et	et	PROPN
ejpam-5545	412	5	al	al	PROPN
ejpam-5545	412	6	.	.	PUNCT
ejpam-5545	412	7	/	/	SYM
ejpam-5545	412	8	eur	eur	PROPN
ejpam-5545	412	9	.	.	PUNCT
ejpam-5545	413	1	j.	j.	PROPN
ejpam-5545	413	2	pure	pure	PROPN
ejpam-5545	413	3	appl	appl	PROPN
ejpam-5545	413	4	.	.	PROPN
ejpam-5545	413	5	math	math	PROPN
ejpam-5545	413	6	,	,	PUNCT
ejpam-5545	413	7	17	17	NUM
ejpam-5545	413	8	(	(	PUNCT
ejpam-5545	413	9	4	4	NUM
ejpam-5545	413	10	)	)	PUNCT
ejpam-5545	413	11	(	(	PUNCT
ejpam-5545	413	12	2024	2024	NUM
ejpam-5545	413	13	)	)	PUNCT
ejpam-5545	413	14	,	,	PUNCT
ejpam-5545	413	15	3743	3743	NUM
ejpam-5545	413	16	-	-	SYM
ejpam-5545	413	17	3771	3771	NUM
ejpam-5545	413	18	3758	3758	NUM
ejpam-5545	413	19	are	be	AUX
ejpam-5545	413	20	effective	effective	ADJ
ejpam-5545	413	21	for	for	ADP
ejpam-5545	413	22	developing	develop	VERB
ejpam-5545	413	23	specialized	specialized	ADJ
ejpam-5545	413	24	algorithms	algorithm	NOUN
ejpam-5545	413	25	,	,	PUNCT
ejpam-5545	413	26	integrating	integrate	VERB
ejpam-5545	413	27	topological	topological	ADJ
ejpam-5545	413	28	concepts	concept	NOUN
ejpam-5545	413	29	into	into	ADP
ejpam-5545	413	30	specific	specific	ADJ
ejpam-5545	413	31	algorithms	algorithms	NOUN
ejpam-5545	413	32	enhances	enhance	VERB
ejpam-5545	413	33	their	their	PRON
ejpam-5545	413	34	usability	usability	NOUN
ejpam-5545	413	35	.	.	PUNCT
ejpam-5545	414	1	3	3	X
ejpam-5545	414	2	.	.	X
ejpam-5545	414	3	easy	easy	ADJ
ejpam-5545	414	4	techniques	technique	NOUN
ejpam-5545	414	5	for	for	ADP
ejpam-5545	414	6	big	big	ADJ
ejpam-5545	414	7	datasets	dataset	NOUN
ejpam-5545	414	8	:	:	PUNCT
ejpam-5545	414	9	the	the	DET
ejpam-5545	414	10	present	present	ADJ
ejpam-5545	414	11	paradigm	paradigm	NOUN
ejpam-5545	414	12	reduces	reduce	VERB
ejpam-5545	414	13	significant	significant	ADJ
ejpam-5545	414	14	modeling	modeling	NOUN
ejpam-5545	414	15	constraints	constraint	NOUN
ejpam-5545	414	16	,	,	PUNCT
ejpam-5545	414	17	thereby	thereby	ADV
ejpam-5545	414	18	enabling	enable	VERB
ejpam-5545	414	19	a	a	DET
ejpam-5545	414	20	wider	wide	ADJ
ejpam-5545	414	21	representation	representation	NOUN
ejpam-5545	414	22	of	of	ADP
ejpam-5545	414	23	issues	issue	NOUN
ejpam-5545	414	24	,	,	PUNCT
ejpam-5545	414	25	especially	especially	ADV
ejpam-5545	414	26	when	when	SCONJ
ejpam-5545	414	27	handling	handle	VERB
ejpam-5545	414	28	large	large	ADJ
ejpam-5545	414	29	datasets	dataset	NOUN
ejpam-5545	414	30	.	.	PUNCT
ejpam-5545	415	1	this	this	DET
ejpam-5545	415	2	adaptability	adaptability	NOUN
ejpam-5545	415	3	makes	make	VERB
ejpam-5545	415	4	it	it	PRON
ejpam-5545	415	5	useful	useful	ADJ
ejpam-5545	415	6	for	for	ADP
ejpam-5545	415	7	evaluating	evaluate	VERB
ejpam-5545	415	8	and	and	CCONJ
ejpam-5545	415	9	defining	define	VERB
ejpam-5545	415	10	a	a	DET
ejpam-5545	415	11	wide	wide	ADJ
ejpam-5545	415	12	range	range	NOUN
ejpam-5545	415	13	of	of	ADP
ejpam-5545	415	14	real	real	ADJ
ejpam-5545	415	15	-	-	PUNCT
ejpam-5545	415	16	world	world	NOUN
ejpam-5545	415	17	scenarios	scenario	NOUN
ejpam-5545	415	18	,	,	PUNCT
ejpam-5545	415	19	such	such	ADJ
ejpam-5545	415	20	as	as	ADP
ejpam-5545	415	21	infectious	infectious	ADJ
ejpam-5545	415	22	diseases	disease	NOUN
ejpam-5545	415	23	like	like	ADP
ejpam-5545	415	24	coronavirus	coronavirus	NOUN
ejpam-5545	415	25	,	,	PUNCT
ejpam-5545	415	26	where	where	SCONJ
ejpam-5545	415	27	sample	sample	NOUN
ejpam-5545	415	28	size	size	NOUN
ejpam-5545	415	29	has	have	VERB
ejpam-5545	415	30	a	a	DET
ejpam-5545	415	31	direct	direct	ADJ
ejpam-5545	415	32	impact	impact	NOUN
ejpam-5545	415	33	on	on	ADP
ejpam-5545	415	34	the	the	DET
ejpam-5545	415	35	accuracy	accuracy	NOUN
ejpam-5545	415	36	of	of	ADP
ejpam-5545	415	37	decision	decision	NOUN
ejpam-5545	415	38	-	-	PUNCT
ejpam-5545	415	39	making	making	NOUN
ejpam-5545	415	40	,	,	PUNCT
ejpam-5545	415	41	as	as	SCONJ
ejpam-5545	415	42	shown	show	VERB
ejpam-5545	415	43	in	in	ADP
ejpam-5545	415	44	the	the	DET
ejpam-5545	415	45	next	next	ADJ
ejpam-5545	415	46	part	part	NOUN
ejpam-5545	415	47	.	.	PUNCT
ejpam-5545	416	1	5	5	X
ejpam-5545	416	2	.	.	X
ejpam-5545	416	3	using	use	VERB
ejpam-5545	416	4	βb	βb	ADJ
ejpam-5545	416	5	-	-	PUNCT
ejpam-5545	416	6	rough	rough	ADJ
ejpam-5545	416	7	sets	set	NOUN
ejpam-5545	416	8	for	for	ADP
ejpam-5545	416	9	accurate	accurate	ADJ
ejpam-5545	416	10	decision	decision	NOUN
ejpam-5545	416	11	making	make	VERB
ejpam-5545	416	12	in	in	ADP
ejpam-5545	416	13	identifying	identify	VERB
ejpam-5545	416	14	covid-19	covid-19	PROPN
ejpam-5545	416	15	variants	variant	NOUN
ejpam-5545	416	16	the	the	DET
ejpam-5545	416	17	covid-19	covid-19	PROPN
ejpam-5545	416	18	pandemic	pandemic	NOUN
ejpam-5545	416	19	,	,	PUNCT
ejpam-5545	416	20	which	which	PRON
ejpam-5545	416	21	began	begin	VERB
ejpam-5545	416	22	in	in	ADP
ejpam-5545	416	23	january	january	PROPN
ejpam-5545	416	24	2020	2020	NUM
ejpam-5545	416	25	,	,	PUNCT
ejpam-5545	416	26	has	have	AUX
ejpam-5545	416	27	worsened	worsen	VERB
ejpam-5545	416	28	with	with	ADP
ejpam-5545	416	29	new	new	ADJ
ejpam-5545	416	30	,	,	PUNCT
ejpam-5545	416	31	more	more	ADV
ejpam-5545	416	32	deadly	deadly	ADJ
ejpam-5545	416	33	strains	strain	NOUN
ejpam-5545	416	34	,	,	PUNCT
ejpam-5545	416	35	affecting	affect	VERB
ejpam-5545	416	36	global	global	ADJ
ejpam-5545	416	37	mental	mental	ADJ
ejpam-5545	416	38	well	well	ADV
ejpam-5545	416	39	-	-	PUNCT
ejpam-5545	416	40	being	being	NOUN
ejpam-5545	416	41	.	.	PUNCT
ejpam-5545	417	1	the	the	DET
ejpam-5545	417	2	countries	country	NOUN
ejpam-5545	417	3	of	of	ADP
ejpam-5545	417	4	the	the	DET
ejpam-5545	417	5	middle	middle	PROPN
ejpam-5545	417	6	east	east	PROPN
ejpam-5545	417	7	have	have	AUX
ejpam-5545	417	8	identified	identify	VERB
ejpam-5545	417	9	numerous	numerous	ADJ
ejpam-5545	417	10	variants	variant	NOUN
ejpam-5545	417	11	,	,	PUNCT
ejpam-5545	417	12	including	include	VERB
ejpam-5545	417	13	”	"	PUNCT
ejpam-5545	417	14	alpha	alpha	NOUN
ejpam-5545	417	15	,	,	PUNCT
ejpam-5545	417	16	”	"	PUNCT
ejpam-5545	417	17	”	"	PUNCT
ejpam-5545	417	18	delta	delta	NOUN
ejpam-5545	417	19	,	,	PUNCT
ejpam-5545	417	20	”	"	PUNCT
ejpam-5545	417	21	and	and	CCONJ
ejpam-5545	417	22	”	"	PUNCT
ejpam-5545	417	23	omicron	omicron	NOUN
ejpam-5545	417	24	.	.	PUNCT
ejpam-5545	417	25	”	"	PUNCT
ejpam-5545	418	1	we	we	PRON
ejpam-5545	418	2	offer	offer	VERB
ejpam-5545	418	3	a	a	DET
ejpam-5545	418	4	rule	rule	NOUN
ejpam-5545	418	5	-	-	PUNCT
ejpam-5545	418	6	based	base	VERB
ejpam-5545	418	7	framework	framework	NOUN
ejpam-5545	418	8	to	to	PART
ejpam-5545	418	9	categorize	categorize	VERB
ejpam-5545	418	10	and	and	CCONJ
ejpam-5545	418	11	predict	predict	VERB
ejpam-5545	418	12	these	these	DET
ejpam-5545	418	13	variants	variant	NOUN
ejpam-5545	418	14	.	.	PUNCT
ejpam-5545	419	1	5.1	5.1	NUM
ejpam-5545	419	2	.	.	PUNCT
ejpam-5545	420	1	experimental	experimental	ADJ
ejpam-5545	420	2	outcomes	outcome	NOUN
ejpam-5545	420	3	and	and	CCONJ
ejpam-5545	420	4	medical	medical	ADJ
ejpam-5545	420	5	decision	decision	NOUN
ejpam-5545	420	6	table	table	NOUN
ejpam-5545	420	7	this	this	DET
ejpam-5545	420	8	section	section	NOUN
ejpam-5545	420	9	provides	provide	VERB
ejpam-5545	420	10	the	the	DET
ejpam-5545	420	11	medical	medical	ADJ
ejpam-5545	420	12	results	result	NOUN
ejpam-5545	420	13	of	of	ADP
ejpam-5545	420	14	an	an	DET
ejpam-5545	420	15	early	early	ADJ
ejpam-5545	420	16	experimental	experimental	ADJ
ejpam-5545	420	17	examination	examination	NOUN
ejpam-5545	420	18	with	with	ADP
ejpam-5545	420	19	ten	ten	NUM
ejpam-5545	420	20	patients	patient	NOUN
ejpam-5545	420	21	(	(	PUNCT
ejpam-5545	420	22	see	see	VERB
ejpam-5545	420	23	table	table	NOUN
ejpam-5545	420	24	5	5	NUM
ejpam-5545	420	25	)	)	PUNCT
ejpam-5545	420	26	are	be	AUX
ejpam-5545	420	27	provided	provide	VERB
ejpam-5545	420	28	.	.	PUNCT
ejpam-5545	421	1	it	it	PRON
ejpam-5545	421	2	should	should	AUX
ejpam-5545	421	3	be	be	AUX
ejpam-5545	421	4	noted	note	VERB
ejpam-5545	421	5	that	that	SCONJ
ejpam-5545	421	6	the	the	DET
ejpam-5545	421	7	present	present	ADJ
ejpam-5545	421	8	application	application	NOUN
ejpam-5545	421	9	is	be	AUX
ejpam-5545	421	10	based	base	VERB
ejpam-5545	421	11	on	on	ADP
ejpam-5545	421	12	existing	exist	VERB
ejpam-5545	421	13	data	datum	NOUN
ejpam-5545	421	14	,	,	PUNCT
ejpam-5545	421	15	as	as	SCONJ
ejpam-5545	421	16	described	describe	VERB
ejpam-5545	421	17	in	in	ADP
ejpam-5545	421	18	references	reference	NOUN
ejpam-5545	421	19	[	[	X
ejpam-5545	421	20	6	6	NUM
ejpam-5545	421	21	,	,	PUNCT
ejpam-5545	421	22	56	56	NUM
ejpam-5545	421	23	]	]	PUNCT
ejpam-5545	421	24	.	.	PUNCT
ejpam-5545	422	1	table	table	NOUN
ejpam-5545	422	2	5	5	NUM
ejpam-5545	422	3	presents	present	VERB
ejpam-5545	422	4	the	the	DET
ejpam-5545	422	5	outcomes	outcome	NOUN
ejpam-5545	422	6	of	of	ADP
ejpam-5545	422	7	eight	eight	NUM
ejpam-5545	422	8	variants	variant	NOUN
ejpam-5545	422	9	of	of	ADP
ejpam-5545	422	10	covid-19	covid-19	PROPN
ejpam-5545	422	11	(	(	PUNCT
ejpam-5545	422	12	alpha	alpha	PROPN
ejpam-5545	422	13	,	,	PUNCT
ejpam-5545	422	14	delta	delta	NOUN
ejpam-5545	422	15	,	,	PUNCT
ejpam-5545	422	16	and	and	CCONJ
ejpam-5545	422	17	omicron	omicron	PROPN
ejpam-5545	422	18	)	)	PUNCT
ejpam-5545	422	19	observed	observe	VERB
ejpam-5545	422	20	in	in	ADP
ejpam-5545	422	21	these	these	DET
ejpam-5545	422	22	patients	patient	NOUN
ejpam-5545	422	23	.	.	PUNCT
ejpam-5545	423	1	the	the	DET
ejpam-5545	423	2	symptoms	symptom	NOUN
ejpam-5545	423	3	associated	associate	VERB
ejpam-5545	423	4	with	with	ADP
ejpam-5545	423	5	each	each	DET
ejpam-5545	423	6	variant	variant	NOUN
ejpam-5545	423	7	,	,	PUNCT
ejpam-5545	423	8	categorized	categorize	VERB
ejpam-5545	423	9	as	as	ADP
ejpam-5545	423	10	”	"	PUNCT
ejpam-5545	423	11	alpha	alpha	NOUN
ejpam-5545	423	12	,	,	PUNCT
ejpam-5545	423	13	”	"	PUNCT
ejpam-5545	423	14	”	"	PUNCT
ejpam-5545	423	15	delta	delta	NOUN
ejpam-5545	423	16	,	,	PUNCT
ejpam-5545	423	17	”	"	PUNCT
ejpam-5545	423	18	and	and	CCONJ
ejpam-5545	423	19	”	"	PUNCT
ejpam-5545	423	20	omicron	omicron	NOUN
ejpam-5545	423	21	,	,	PUNCT
ejpam-5545	423	22	”	"	PUNCT
ejpam-5545	423	23	are	be	AUX
ejpam-5545	423	24	detailed	detail	VERB
ejpam-5545	423	25	below	below	ADP
ejpam-5545	423	26	:	:	PUNCT
ejpam-5545	423	27	•	•	NUM
ejpam-5545	423	28	alpha	alpha	NOUN
ejpam-5545	423	29	variants	variant	NOUN
ejpam-5545	423	30	includes	include	VERB
ejpam-5545	423	31	(	(	PUNCT
ejpam-5545	423	32	fe	fe	X
ejpam-5545	423	33	,	,	PUNCT
ejpam-5545	423	34	sb	sb	PROPN
ejpam-5545	423	35	,	,	PUNCT
ejpam-5545	423	36	bp	bp	PROPN
ejpam-5545	423	37	,	,	PUNCT
ejpam-5545	423	38	dc	dc	PROPN
ejpam-5545	423	39	,	,	PUNCT
ejpam-5545	423	40	he	he	PRON
ejpam-5545	423	41	,	,	PUNCT
ejpam-5545	423	42	st	st	PROPN
ejpam-5545	423	43	,	,	PUNCT
ejpam-5545	423	44	cp	cp	PROPN
ejpam-5545	423	45	)	)	PUNCT
ejpam-5545	423	46	.	.	PUNCT
ejpam-5545	424	1	•	•	NUM
ejpam-5545	424	2	delta	delta	NOUN
ejpam-5545	424	3	variants	variant	NOUN
ejpam-5545	424	4	include	include	VERB
ejpam-5545	424	5	(	(	PUNCT
ejpam-5545	424	6	fe	fe	X
ejpam-5545	424	7	,	,	PUNCT
ejpam-5545	424	8	sb	sb	PROPN
ejpam-5545	424	9	,	,	PUNCT
ejpam-5545	424	10	bp	bp	PROPN
ejpam-5545	424	11	,	,	PUNCT
ejpam-5545	424	12	he	he	PRON
ejpam-5545	424	13	,	,	PUNCT
ejpam-5545	424	14	st	st	PROPN
ejpam-5545	424	15	,	,	PUNCT
ejpam-5545	424	16	cp	cp	PROPN
ejpam-5545	424	17	,	,	PUNCT
ejpam-5545	424	18	co	co	NOUN
ejpam-5545	424	19	,	,	PUNCT
ejpam-5545	424	20	lot	lot	NOUN
ejpam-5545	424	21	,	,	PUNCT
ejpam-5545	424	22	los	los	PROPN
ejpam-5545	424	23	,	,	PUNCT
ejpam-5545	424	24	my	my	PRON
ejpam-5545	424	25	,	,	PUNCT
ejpam-5545	424	26	fa	fa	NOUN
ejpam-5545	424	27	,	,	PUNCT
ejpam-5545	424	28	and	and	CCONJ
ejpam-5545	424	29	rh	rh	PROPN
ejpam-5545	424	30	)	)	PUNCT
ejpam-5545	424	31	.	.	PUNCT
ejpam-5545	425	1	•	•	NUM
ejpam-5545	425	2	omicron	omicron	PROPN
ejpam-5545	425	3	variants	variant	NOUN
ejpam-5545	425	4	include	include	VERB
ejpam-5545	425	5	(	(	PUNCT
ejpam-5545	425	6	fe	fe	X
ejpam-5545	425	7	,	,	PUNCT
ejpam-5545	425	8	he	he	PRON
ejpam-5545	425	9	,	,	PUNCT
ejpam-5545	425	10	co	co	NOUN
ejpam-5545	425	11	,	,	PUNCT
ejpam-5545	425	12	cl	cl	NOUN
ejpam-5545	425	13	,	,	PUNCT
ejpam-5545	425	14	ba	ba	PROPN
ejpam-5545	425	15	,	,	PUNCT
ejpam-5545	425	16	we	we	PRON
ejpam-5545	425	17	,	,	PUNCT
ejpam-5545	425	18	fa	fa	PROPN
ejpam-5545	425	19	,	,	PUNCT
ejpam-5545	425	20	ns	ns	INTJ
ejpam-5545	425	21	,	,	PUNCT
ejpam-5545	425	22	sn	sn	PROPN
ejpam-5545	425	23	,	,	PUNCT
ejpam-5545	425	24	lbp	lbp	PROPN
ejpam-5545	425	25	,	,	PUNCT
ejpam-5545	425	26	loa	loa	PROPN
ejpam-5545	425	27	)	)	PUNCT
ejpam-5545	425	28	.	.	PUNCT
ejpam-5545	426	1	the	the	DET
ejpam-5545	426	2	above	above	ADJ
ejpam-5545	426	3	symptoms	symptom	NOUN
ejpam-5545	426	4	are	be	AUX
ejpam-5545	426	5	interpreted	interpret	VERB
ejpam-5545	426	6	as	as	SCONJ
ejpam-5545	426	7	follows	follow	VERB
ejpam-5545	426	8	:	:	PUNCT
ejpam-5545	427	1	fe	fe	X
ejpam-5545	427	2	=	=	NOUN
ejpam-5545	427	3	fever	fever	NOUN
ejpam-5545	427	4	cl	cl	NOUN
ejpam-5545	427	5	=	=	SYM
ejpam-5545	427	6	cold	cold	ADJ
ejpam-5545	427	7	sb	sb	PROPN
ejpam-5545	428	1	=	=	PROPN
ejpam-5545	428	2	shortness	shortness	NOUN
ejpam-5545	428	3	of	of	ADP
ejpam-5545	428	4	breath	breath	NOUN
ejpam-5545	428	5	ba	ba	PROPN
ejpam-5545	428	6	=	=	NOUN
ejpam-5545	428	7	body	body	NOUN
ejpam-5545	428	8	ache	ache	ADV
ejpam-5545	428	9	bp	bp	PROPN
ejpam-5545	428	10	=	=	SYM
ejpam-5545	428	11	body	body	NOUN
ejpam-5545	428	12	pain	pain	NOUN
ejpam-5545	429	1	we	we	PRON
ejpam-5545	429	2	=	=	VERB
ejpam-5545	429	3	weakness	weakness	NOUN
ejpam-5545	429	4	dc	dc	NOUN
ejpam-5545	429	5	=	=	SYM
ejpam-5545	429	6	dry	dry	ADJ
ejpam-5545	429	7	cough	cough	NOUN
ejpam-5545	429	8	fa	fa	NOUN
ejpam-5545	429	9	=	=	NOUN
ejpam-5545	429	10	fatigue	fatigue	NOUN
ejpam-5545	429	11	he	he	PRON
ejpam-5545	429	12	=	=	PUNCT
ejpam-5545	429	13	headache	headache	NOUN
ejpam-5545	429	14	ns	ns	NUM
ejpam-5545	429	15	=	=	NOUN
ejpam-5545	429	16	night	night	NOUN
ejpam-5545	429	17	sweats	sweat	VERB
ejpam-5545	429	18	st	st	PROPN
ejpam-5545	429	19	=	=	ADJ
ejpam-5545	429	20	sore	sore	ADJ
ejpam-5545	429	21	throat	throat	NOUN
ejpam-5545	430	1	rh	rh	PROPN
ejpam-5545	430	2	=	=	SYM
ejpam-5545	430	3	rhinorrhea	rhinorrhea	PROPN
ejpam-5545	430	4	cp	cp	INTJ
ejpam-5545	430	5	=	=	NOUN
ejpam-5545	430	6	chest	chest	NOUN
ejpam-5545	430	7	pain	pain	NOUN
ejpam-5545	430	8	lot	lot	NOUN
ejpam-5545	430	9	=	=	NOUN
ejpam-5545	430	10	loss	loss	NOUN
ejpam-5545	430	11	of	of	ADP
ejpam-5545	430	12	taste	taste	NOUN
ejpam-5545	430	13	co	co	NOUN
ejpam-5545	430	14	=	=	PROPN
ejpam-5545	430	15	cough	cough	NOUN
ejpam-5545	430	16	loa	loa	NOUN
ejpam-5545	430	17	=	=	NOUN
ejpam-5545	430	18	loss	loss	NOUN
ejpam-5545	430	19	of	of	ADP
ejpam-5545	430	20	appetite	appetite	NOUN
ejpam-5545	430	21	sn	sn	NOUN
ejpam-5545	430	22	=	=	PUNCT
ejpam-5545	430	23	sneezing	sneeze	VERB
ejpam-5545	430	24	los	los	PROPN
ejpam-5545	430	25	=	=	PUNCT
ejpam-5545	430	26	loss	loss	NOUN
ejpam-5545	430	27	of	of	ADP
ejpam-5545	430	28	smell	smell	NOUN
ejpam-5545	430	29	my	my	PRON
ejpam-5545	430	30	=	=	NOUN
ejpam-5545	430	31	myalgias	myalgias	PROPN
ejpam-5545	430	32	lbp	lbp	NOUN
ejpam-5545	431	1	=	=	PUNCT
ejpam-5545	431	2	lower	low	ADJ
ejpam-5545	431	3	back	back	NOUN
ejpam-5545	431	4	pain	pain	NOUN
ejpam-5545	431	5	m.	m.	PROPN
ejpam-5545	431	6	k.	k.	PROPN
ejpam-5545	432	1	el	el	PROPN
ejpam-5545	432	2	-	-	PROPN
ejpam-5545	432	3	bably	bably	PROPN
ejpam-5545	432	4	et	et	PROPN
ejpam-5545	432	5	al	al	PROPN
ejpam-5545	432	6	.	.	PUNCT
ejpam-5545	432	7	/	/	SYM
ejpam-5545	432	8	eur	eur	PROPN
ejpam-5545	432	9	.	.	PUNCT
ejpam-5545	433	1	j.	j.	PROPN
ejpam-5545	433	2	pure	pure	PROPN
ejpam-5545	433	3	appl	appl	PROPN
ejpam-5545	433	4	.	.	PROPN
ejpam-5545	433	5	math	math	PROPN
ejpam-5545	433	6	,	,	PUNCT
ejpam-5545	433	7	17	17	NUM
ejpam-5545	433	8	(	(	PUNCT
ejpam-5545	433	9	4	4	NUM
ejpam-5545	433	10	)	)	PUNCT
ejpam-5545	433	11	(	(	PUNCT
ejpam-5545	433	12	2024	2024	NUM
ejpam-5545	433	13	)	)	PUNCT
ejpam-5545	433	14	,	,	PUNCT
ejpam-5545	433	15	3743	3743	NUM
ejpam-5545	433	16	-	-	SYM
ejpam-5545	433	17	3771	3771	NUM
ejpam-5545	433	18	3759	3759	NUM
ejpam-5545	433	19	table	table	NOUN
ejpam-5545	433	20	5	5	NUM
ejpam-5545	433	21	describes	describe	VERB
ejpam-5545	433	22	the	the	DET
ejpam-5545	433	23	attributes	attribute	NOUN
ejpam-5545	433	24	(	(	PUNCT
ejpam-5545	433	25	or	or	CCONJ
ejpam-5545	433	26	symptoms	symptom	NOUN
ejpam-5545	433	27	)	)	PUNCT
ejpam-5545	433	28	of	of	ADP
ejpam-5545	433	29	individuals	individual	NOUN
ejpam-5545	433	30	infected	infect	VERB
ejpam-5545	433	31	with	with	ADP
ejpam-5545	433	32	the	the	DET
ejpam-5545	433	33	alpha	alpha	NOUN
ejpam-5545	433	34	,	,	PUNCT
ejpam-5545	433	35	delta	delta	NOUN
ejpam-5545	433	36	,	,	PUNCT
ejpam-5545	433	37	and	and	CCONJ
ejpam-5545	433	38	omicron	omicron	PROPN
ejpam-5545	433	39	variants	variant	NOUN
ejpam-5545	433	40	.	.	PUNCT
ejpam-5545	434	1	notably	notably	ADV
ejpam-5545	434	2	,	,	PUNCT
ejpam-5545	434	3	the	the	DET
ejpam-5545	434	4	omicron	omicron	PROPN
ejpam-5545	434	5	variant	variant	NOUN
ejpam-5545	434	6	shares	share	NOUN
ejpam-5545	434	7	several	several	ADJ
ejpam-5545	434	8	symptoms	symptom	NOUN
ejpam-5545	434	9	with	with	ADP
ejpam-5545	434	10	the	the	DET
ejpam-5545	434	11	alpha	alpha	NOUN
ejpam-5545	434	12	and	and	CCONJ
ejpam-5545	434	13	delta	delta	NOUN
ejpam-5545	434	14	variants	variant	NOUN
ejpam-5545	434	15	—	—	PUNCT
ejpam-5545	434	16	such	such	ADJ
ejpam-5545	434	17	as	as	ADP
ejpam-5545	434	18	fever	fever	NOUN
ejpam-5545	434	19	,	,	PUNCT
ejpam-5545	434	20	cough	cough	NOUN
ejpam-5545	434	21	,	,	PUNCT
ejpam-5545	434	22	shortness	shortness	NOUN
ejpam-5545	434	23	of	of	ADP
ejpam-5545	434	24	breath	breath	NOUN
ejpam-5545	434	25	,	,	PUNCT
ejpam-5545	434	26	exhaustion	exhaustion	NOUN
ejpam-5545	434	27	,	,	PUNCT
ejpam-5545	434	28	loss	loss	NOUN
ejpam-5545	434	29	of	of	ADP
ejpam-5545	434	30	taste	taste	NOUN
ejpam-5545	434	31	,	,	PUNCT
ejpam-5545	434	32	loss	loss	NOUN
ejpam-5545	434	33	of	of	ADP
ejpam-5545	434	34	smell	smell	NOUN
ejpam-5545	434	35	,	,	PUNCT
ejpam-5545	434	36	sore	sore	ADJ
ejpam-5545	434	37	throat	throat	NOUN
ejpam-5545	434	38	,	,	PUNCT
ejpam-5545	434	39	and	and	CCONJ
ejpam-5545	434	40	headache	headache	NOUN
ejpam-5545	434	41	—	—	PUNCT
ejpam-5545	434	42	but	but	CCONJ
ejpam-5545	434	43	also	also	ADV
ejpam-5545	434	44	exhibits	exhibit	VERB
ejpam-5545	434	45	some	some	DET
ejpam-5545	434	46	unique	unique	ADJ
ejpam-5545	434	47	symptoms	symptom	NOUN
ejpam-5545	434	48	.	.	PUNCT
ejpam-5545	435	1	table	table	NOUN
ejpam-5545	435	2	5	5	NUM
ejpam-5545	435	3	:	:	PUNCT
ejpam-5545	435	4	[	[	X
ejpam-5545	435	5	6	6	NUM
ejpam-5545	435	6	,	,	PUNCT
ejpam-5545	435	7	56	56	NUM
ejpam-5545	435	8	]	]	PUNCT
ejpam-5545	435	9	patient	patient	ADJ
ejpam-5545	435	10	data	datum	NOUN
ejpam-5545	435	11	system	system	NOUN
ejpam-5545	435	12	for	for	ADP
ejpam-5545	435	13	covid	covid	ADJ
ejpam-5545	435	14	variant	variant	ADJ
ejpam-5545	435	15	infections	infection	NOUN
ejpam-5545	435	16	.	.	PUNCT
ejpam-5545	436	1	person	person	NOUN
ejpam-5545	436	2	symptoms	symptom	VERB
ejpam-5545	436	3	covid-19	covid-19	PROPN
ejpam-5545	436	4	a1	a1	NOUN
ejpam-5545	436	5	a2	a2	PROPN
ejpam-5545	436	6	a3	a3	PROPN
ejpam-5545	436	7	a4	a4	PROPN
ejpam-5545	436	8	a5	a5	PROPN
ejpam-5545	436	9	a6	a6	NOUN
ejpam-5545	436	10	a7	a7	PROPN
ejpam-5545	436	11	a8	a8	PROPN
ejpam-5545	436	12	decision	decision	NOUN
ejpam-5545	436	13	p1	p1	NOUN
ejpam-5545	436	14	high	high	ADV
ejpam-5545	437	1	no	no	INTJ
ejpam-5545	438	1	yes	yes	INTJ
ejpam-5545	439	1	yes	yes	INTJ
ejpam-5545	440	1	no	no	INTJ
ejpam-5545	441	1	yes	yes	INTJ
ejpam-5545	442	1	no	no	INTJ
ejpam-5545	442	2	yes	yes	INTJ
ejpam-5545	442	3	alpha	alpha	NOUN
ejpam-5545	442	4	p2	p2	NOUN
ejpam-5545	442	5	high	high	ADV
ejpam-5545	443	1	no	no	INTJ
ejpam-5545	444	1	yes	yes	INTJ
ejpam-5545	445	1	yes	yes	INTJ
ejpam-5545	446	1	yes	yes	INTJ
ejpam-5545	447	1	yes	yes	INTJ
ejpam-5545	448	1	no	no	INTJ
ejpam-5545	448	2	yes	yes	INTJ
ejpam-5545	448	3	omicron	omicron	PROPN
ejpam-5545	448	4	p3	p3	PROPN
ejpam-5545	448	5	high	high	ADV
ejpam-5545	449	1	no	no	INTJ
ejpam-5545	449	2	no	no	INTJ
ejpam-5545	450	1	yes	yes	INTJ
ejpam-5545	451	1	no	no	INTJ
ejpam-5545	451	2	no	no	INTJ
ejpam-5545	452	1	no	no	INTJ
ejpam-5545	452	2	no	no	INTJ
ejpam-5545	453	1	no	no	DET
ejpam-5545	453	2	p4	p4	ADJ
ejpam-5545	453	3	normal	normal	ADJ
ejpam-5545	454	1	no	no	INTJ
ejpam-5545	454	2	no	no	INTJ
ejpam-5545	454	3	no	no	INTJ
ejpam-5545	454	4	no	no	INTJ
ejpam-5545	455	1	no	no	INTJ
ejpam-5545	456	1	yes	yes	INTJ
ejpam-5545	457	1	no	no	INTJ
ejpam-5545	458	1	no	no	PRON
ejpam-5545	458	2	p5	p5	ADJ
ejpam-5545	458	3	normal	normal	ADJ
ejpam-5545	459	1	yes	yes	INTJ
ejpam-5545	459	2	no	no	INTJ
ejpam-5545	460	1	yes	yes	INTJ
ejpam-5545	461	1	no	no	INTJ
ejpam-5545	462	1	yes	yes	INTJ
ejpam-5545	463	1	no	no	INTJ
ejpam-5545	464	1	yes	yes	INTJ
ejpam-5545	464	2	delta	delta	NOUN
ejpam-5545	464	3	p6	p6	NOUN
ejpam-5545	464	4	high	high	ADV
ejpam-5545	465	1	yes	yes	INTJ
ejpam-5545	466	1	no	no	INTJ
ejpam-5545	467	1	yes	yes	INTJ
ejpam-5545	468	1	no	no	INTJ
ejpam-5545	468	2	no	no	INTJ
ejpam-5545	469	1	no	no	INTJ
ejpam-5545	469	2	no	no	DET
ejpam-5545	469	3	delta	delta	NOUN
ejpam-5545	469	4	p7	p7	VERB
ejpam-5545	469	5	high	high	ADV
ejpam-5545	470	1	yes	yes	INTJ
ejpam-5545	471	1	yes	yes	INTJ
ejpam-5545	472	1	yes	yes	INTJ
ejpam-5545	473	1	no	no	INTJ
ejpam-5545	473	2	no	no	INTJ
ejpam-5545	474	1	no	no	INTJ
ejpam-5545	474	2	no	no	DET
ejpam-5545	474	3	delta	delta	NOUN
ejpam-5545	474	4	p8	p8	VERB
ejpam-5545	474	5	normal	normal	ADJ
ejpam-5545	475	1	no	no	INTJ
ejpam-5545	475	2	no	no	INTJ
ejpam-5545	476	1	yes	yes	INTJ
ejpam-5545	477	1	no	no	INTJ
ejpam-5545	477	2	no	no	INTJ
ejpam-5545	478	1	no	no	INTJ
ejpam-5545	478	2	no	no	INTJ
ejpam-5545	479	1	no	no	DET
ejpam-5545	479	2	5.2	5.2	NUM
ejpam-5545	479	3	.	.	PUNCT
ejpam-5545	480	1	the	the	DET
ejpam-5545	480	2	utilization	utilization	NOUN
ejpam-5545	480	3	of	of	ADP
ejpam-5545	480	4	βb	βb	ADJ
ejpam-5545	480	5	-	-	PUNCT
ejpam-5545	480	6	rough	rough	ADJ
ejpam-5545	480	7	set	set	NOUN
ejpam-5545	480	8	techniques	technique	NOUN
ejpam-5545	480	9	in	in	ADP
ejpam-5545	480	10	decision	decision	NOUN
ejpam-5545	480	11	-	-	PUNCT
ejpam-5545	480	12	making	making	NOUN
ejpam-5545	480	13	concerning	concern	VERB
ejpam-5545	480	14	covid-19	covid-19	PROPN
ejpam-5545	480	15	variations	variation	NOUN
ejpam-5545	480	16	this	this	DET
ejpam-5545	480	17	process	process	NOUN
ejpam-5545	480	18	involves	involve	VERB
ejpam-5545	480	19	several	several	ADJ
ejpam-5545	480	20	steps	step	NOUN
ejpam-5545	480	21	.	.	PUNCT
ejpam-5545	481	1	first	first	ADV
ejpam-5545	481	2	,	,	PUNCT
ejpam-5545	481	3	the	the	DET
ejpam-5545	481	4	attributes	attribute	NOUN
ejpam-5545	481	5	of	of	ADP
ejpam-5545	481	6	symptoms	symptom	NOUN
ejpam-5545	481	7	(	(	PUNCT
ejpam-5545	481	8	conditions	condition	NOUN
ejpam-5545	481	9	)	)	PUNCT
ejpam-5545	481	10	,	,	PUNCT
ejpam-5545	481	11	represented	represent	VERB
ejpam-5545	481	12	as	as	ADP
ejpam-5545	481	13	c	c	PROPN
ejpam-5545	481	14	=	=	SYM
ejpam-5545	481	15	{	{	PUNCT
ejpam-5545	481	16	a1	a1	PROPN
ejpam-5545	481	17	,	,	PUNCT
ejpam-5545	481	18	a2	a2	PROPN
ejpam-5545	481	19	,	,	PUNCT
ejpam-5545	481	20	a3	a3	NOUN
ejpam-5545	481	21	,	,	PUNCT
ejpam-5545	481	22	.	.	PUNCT
ejpam-5545	481	23	.	.	PUNCT
ejpam-5545	482	1	.	.	PUNCT
ejpam-5545	483	1	,	,	PUNCT
ejpam-5545	483	2	a8	a8	PROPN
ejpam-5545	483	3	}	}	PUNCT
ejpam-5545	483	4	for	for	ADP
ejpam-5545	483	5	the	the	DET
ejpam-5545	483	6	patient	patient	NOUN
ejpam-5545	483	7	set	set	NOUN
ejpam-5545	483	8	s	s	PART
ejpam-5545	483	9	=	=	SYM
ejpam-5545	483	10	{	{	PUNCT
ejpam-5545	483	11	p1	p1	PROPN
ejpam-5545	483	12	,	,	PUNCT
ejpam-5545	483	13	p2	p2	NOUN
ejpam-5545	483	14	,	,	PUNCT
ejpam-5545	483	15	p3	p3	NOUN
ejpam-5545	483	16	,	,	PUNCT
ejpam-5545	483	17	.	.	PUNCT
ejpam-5545	483	18	.	.	PUNCT
ejpam-5545	484	1	.	.	PUNCT
ejpam-5545	485	1	,	,	PUNCT
ejpam-5545	485	2	p8	p8	PROPN
ejpam-5545	485	3	}	}	PUNCT
ejpam-5545	485	4	,	,	PUNCT
ejpam-5545	485	5	are	be	AUX
ejpam-5545	485	6	transformed	transform	VERB
ejpam-5545	485	7	into	into	ADP
ejpam-5545	485	8	qualitative	qualitative	ADJ
ejpam-5545	485	9	terms	term	NOUN
ejpam-5545	485	10	.	.	PUNCT
ejpam-5545	486	1	then	then	ADV
ejpam-5545	486	2	,	,	PUNCT
ejpam-5545	486	3	we	we	PRON
ejpam-5545	486	4	proceed	proceed	VERB
ejpam-5545	486	5	to	to	PART
ejpam-5545	486	6	compute	compute	VERB
ejpam-5545	486	7	the	the	DET
ejpam-5545	486	8	similarity	similarity	NOUN
ejpam-5545	486	9	of	of	ADP
ejpam-5545	486	10	symptoms	symptom	NOUN
ejpam-5545	486	11	among	among	ADP
ejpam-5545	486	12	patients	patient	NOUN
ejpam-5545	486	13	,	,	PUNCT
ejpam-5545	486	14	as	as	SCONJ
ejpam-5545	486	15	depicted	depict	VERB
ejpam-5545	486	16	in	in	ADP
ejpam-5545	486	17	table	table	NOUN
ejpam-5545	486	18	7	7	NUM
ejpam-5545	486	19	,	,	PUNCT
ejpam-5545	486	20	using	use	VERB
ejpam-5545	486	21	the	the	DET
ejpam-5545	486	22	following	follow	VERB
ejpam-5545	486	23	formula	formula	NOUN
ejpam-5545	486	24	:	:	PUNCT
ejpam-5545	486	25	υ(x	υ(x	PROPN
ejpam-5545	486	26	,	,	PUNCT
ejpam-5545	486	27	y	y	NOUN
ejpam-5545	486	28	)	)	PUNCT
ejpam-5545	486	29	=	=	PUNCT
ejpam-5545	487	1	n∑	n∑	NOUN
ejpam-5545	488	1	ℓ=1	ℓ=1	ADP
ejpam-5545	488	2	[	[	X
ejpam-5545	488	3	aℓ(x	aℓ(x	NOUN
ejpam-5545	488	4	)	)	PUNCT
ejpam-5545	488	5	=	=	SYM
ejpam-5545	488	6	aℓ(y	aℓ(y	NOUN
ejpam-5545	488	7	)	)	PUNCT
ejpam-5545	488	8	]	]	PUNCT
ejpam-5545	488	9	n	n	CCONJ
ejpam-5545	488	10	,	,	PUNCT
ejpam-5545	488	11	where	where	SCONJ
ejpam-5545	488	12	υ(x	υ(x	ADJ
ejpam-5545	488	13	,	,	PUNCT
ejpam-5545	488	14	y	y	NOUN
ejpam-5545	488	15	)	)	PUNCT
ejpam-5545	488	16	is	be	AUX
ejpam-5545	488	17	the	the	DET
ejpam-5545	488	18	degree	degree	NOUN
ejpam-5545	488	19	of	of	ADP
ejpam-5545	488	20	similarity	similarity	NOUN
ejpam-5545	488	21	between	between	ADP
ejpam-5545	488	22	patients	patient	NOUN
ejpam-5545	488	23	x	x	PUNCT
ejpam-5545	488	24	and	and	CCONJ
ejpam-5545	488	25	y	y	PROPN
ejpam-5545	488	26	,	,	PUNCT
ejpam-5545	488	27	and	and	CCONJ
ejpam-5545	488	28	“	"	PUNCT
ejpam-5545	488	29	n	n	CCONJ
ejpam-5545	488	30	”	"	PUNCT
ejpam-5545	488	31	denotes	denote	VERB
ejpam-5545	488	32	the	the	DET
ejpam-5545	488	33	total	total	ADJ
ejpam-5545	488	34	number	number	NOUN
ejpam-5545	488	35	of	of	ADP
ejpam-5545	488	36	disease	disease	NOUN
ejpam-5545	488	37	attributes	attribute	VERB
ejpam-5545	488	38	.	.	PUNCT
ejpam-5545	489	1	thus	thus	ADV
ejpam-5545	489	2	,	,	PUNCT
ejpam-5545	489	3	table	table	NOUN
ejpam-5545	489	4	6	6	NUM
ejpam-5545	489	5	shows	show	VERB
ejpam-5545	489	6	the	the	DET
ejpam-5545	489	7	calculation	calculation	NOUN
ejpam-5545	489	8	of	of	ADP
ejpam-5545	489	9	similarity	similarity	NOUN
ejpam-5545	489	10	across	across	ADP
ejpam-5545	489	11	patients	patient	NOUN
ejpam-5545	489	12	based	base	VERB
ejpam-5545	489	13	on	on	ADP
ejpam-5545	489	14	their	their	PRON
ejpam-5545	489	15	condition	condition	NOUN
ejpam-5545	489	16	attributes	attribute	VERB
ejpam-5545	489	17	:	:	PUNCT
ejpam-5545	489	18	from	from	ADP
ejpam-5545	489	19	data	datum	NOUN
ejpam-5545	489	20	presented	present	VERB
ejpam-5545	489	21	in	in	ADP
ejpam-5545	489	22	table	table	NOUN
ejpam-5545	489	23	6	6	NUM
ejpam-5545	489	24	,	,	PUNCT
ejpam-5545	489	25	the	the	DET
ejpam-5545	489	26	patient	patient	NOUN
ejpam-5545	489	27	set	set	NOUN
ejpam-5545	489	28	s	s	VERB
ejpam-5545	489	29	is	be	AUX
ejpam-5545	489	30	segmented	segment	VERB
ejpam-5545	489	31	into	into	ADP
ejpam-5545	489	32	two	two	NUM
ejpam-5545	489	33	distinct	distinct	ADJ
ejpam-5545	489	34	groups	group	NOUN
ejpam-5545	489	35	:	:	PUNCT
ejpam-5545	489	36	•	•	ADP
ejpam-5545	489	37	the	the	DET
ejpam-5545	489	38	group	group	NOUN
ejpam-5545	489	39	of	of	ADP
ejpam-5545	489	40	persons	person	NOUN
ejpam-5545	489	41	afflicted	afflict	VERB
ejpam-5545	489	42	by	by	ADP
ejpam-5545	489	43	covid-19	covid-19	PROPN
ejpam-5545	489	44	:	:	PUNCT
ejpam-5545	489	45	q	q	X
ejpam-5545	489	46	=	=	SYM
ejpam-5545	489	47	{	{	PUNCT
ejpam-5545	489	48	p1	p1	NOUN
ejpam-5545	489	49	,	,	PUNCT
ejpam-5545	489	50	p2	p2	NOUN
ejpam-5545	489	51	,	,	PUNCT
ejpam-5545	489	52	p5	p5	ADJ
ejpam-5545	489	53	,	,	PUNCT
ejpam-5545	489	54	p6	p6	PROPN
ejpam-5545	489	55	,	,	PUNCT
ejpam-5545	489	56	p7	p7	PROPN
ejpam-5545	489	57	}	}	PUNCT
ejpam-5545	489	58	.	.	PUNCT
ejpam-5545	490	1	•	•	NUM
ejpam-5545	490	2	the	the	DET
ejpam-5545	490	3	group	group	NOUN
ejpam-5545	490	4	of	of	ADP
ejpam-5545	490	5	persons	person	NOUN
ejpam-5545	490	6	unaffected	unaffected	ADJ
ejpam-5545	490	7	by	by	ADP
ejpam-5545	490	8	covid-19	covid-19	PROPN
ejpam-5545	490	9	:	:	PUNCT
ejpam-5545	490	10	w	w	NOUN
ejpam-5545	490	11	=	=	SYM
ejpam-5545	490	12	{	{	PUNCT
ejpam-5545	490	13	p3	p3	PROPN
ejpam-5545	490	14	,	,	PUNCT
ejpam-5545	490	15	p4	p4	ADJ
ejpam-5545	490	16	,	,	PUNCT
ejpam-5545	490	17	p8	p8	PROPN
ejpam-5545	490	18	}	}	PUNCT
ejpam-5545	490	19	.	.	PUNCT
ejpam-5545	491	1	furthermore	furthermore	ADV
ejpam-5545	491	2	,	,	PUNCT
ejpam-5545	491	3	in	in	ADP
ejpam-5545	491	4	the	the	DET
ejpam-5545	491	5	subset	subset	NOUN
ejpam-5545	491	6	of	of	ADP
ejpam-5545	491	7	covid-19	covid-19	PROPN
ejpam-5545	491	8	-	-	PUNCT
ejpam-5545	491	9	infected	infect	VERB
ejpam-5545	491	10	persons	person	NOUN
ejpam-5545	491	11	,	,	PUNCT
ejpam-5545	491	12	there	there	PRON
ejpam-5545	491	13	are	be	VERB
ejpam-5545	491	14	additional	additional	ADJ
ejpam-5545	491	15	categorizations	categorization	NOUN
ejpam-5545	491	16	:	:	PUNCT
ejpam-5545	491	17	•	•	ADP
ejpam-5545	491	18	the	the	DET
ejpam-5545	491	19	infected	infected	ADJ
ejpam-5545	491	20	persons	person	NOUN
ejpam-5545	491	21	with	with	ADP
ejpam-5545	491	22	omicron	omicron	PROPN
ejpam-5545	491	23	:	:	PUNCT
ejpam-5545	491	24	w1	w1	NOUN
ejpam-5545	491	25	=	=	SYM
ejpam-5545	491	26	{	{	PUNCT
ejpam-5545	491	27	p1	p1	PROPN
ejpam-5545	491	28	}	}	PUNCT
ejpam-5545	491	29	.	.	PUNCT
ejpam-5545	492	1	m.	m.	PROPN
ejpam-5545	492	2	k.	k.	PROPN
ejpam-5545	493	1	el	el	PROPN
ejpam-5545	493	2	-	-	PROPN
ejpam-5545	493	3	bably	bably	PROPN
ejpam-5545	493	4	et	et	PROPN
ejpam-5545	493	5	al	al	PROPN
ejpam-5545	493	6	.	.	PUNCT
ejpam-5545	493	7	/	/	SYM
ejpam-5545	493	8	eur	eur	PROPN
ejpam-5545	493	9	.	.	PUNCT
ejpam-5545	494	1	j.	j.	PROPN
ejpam-5545	494	2	pure	pure	PROPN
ejpam-5545	494	3	appl	appl	PROPN
ejpam-5545	494	4	.	.	PROPN
ejpam-5545	494	5	math	math	PROPN
ejpam-5545	494	6	,	,	PUNCT
ejpam-5545	494	7	17	17	NUM
ejpam-5545	494	8	(	(	PUNCT
ejpam-5545	494	9	4	4	NUM
ejpam-5545	494	10	)	)	PUNCT
ejpam-5545	494	11	(	(	PUNCT
ejpam-5545	494	12	2024	2024	NUM
ejpam-5545	494	13	)	)	PUNCT
ejpam-5545	494	14	,	,	PUNCT
ejpam-5545	494	15	3743	3743	NUM
ejpam-5545	494	16	-	-	SYM
ejpam-5545	494	17	3771	3771	NUM
ejpam-5545	494	18	3760	3760	NUM
ejpam-5545	494	19	table	table	NOUN
ejpam-5545	494	20	6	6	NUM
ejpam-5545	494	21	:	:	PUNCT
ejpam-5545	494	22	symptom	symptom	NOUN
ejpam-5545	494	23	similarities	similarity	NOUN
ejpam-5545	494	24	between	between	ADP
ejpam-5545	494	25	eight	eight	NUM
ejpam-5545	494	26	patients	patient	NOUN
ejpam-5545	494	27	.	.	PUNCT
ejpam-5545	495	1	p1	p1	NOUN
ejpam-5545	495	2	p2	p2	PROPN
ejpam-5545	495	3	p3	p3	PROPN
ejpam-5545	495	4	p4	p4	ADJ
ejpam-5545	495	5	p5	p5	ADJ
ejpam-5545	495	6	p6	p6	ADJ
ejpam-5545	495	7	p7	p7	ADJ
ejpam-5545	495	8	p8	p8	ADJ
ejpam-5545	495	9	p1	p1	NOUN
ejpam-5545	495	10	1	1	NUM
ejpam-5545	495	11	0.875	0.875	NUM
ejpam-5545	495	12	0.625	0.625	NUM
ejpam-5545	495	13	0.25	0.25	NUM
ejpam-5545	495	14	0.625	0.625	NUM
ejpam-5545	495	15	0.5	0.5	NUM
ejpam-5545	495	16	0.625	0.625	NUM
ejpam-5545	495	17	0.5	0.5	NUM
ejpam-5545	495	18	p2	p2	NOUN
ejpam-5545	495	19	0.875	0.875	NUM
ejpam-5545	495	20	1	1	NUM
ejpam-5545	495	21	0.5	0.5	NUM
ejpam-5545	495	22	0.125	0.125	NUM
ejpam-5545	495	23	0.5	0.5	NUM
ejpam-5545	495	24	0.375	0.375	NUM
ejpam-5545	495	25	0.5	0.5	NUM
ejpam-5545	495	26	0.375	0.375	NUM
ejpam-5545	495	27	p3	p3	PROPN
ejpam-5545	495	28	0.625	0.625	NUM
ejpam-5545	495	29	0.5	0.5	NUM
ejpam-5545	495	30	1	1	NUM
ejpam-5545	495	31	0.625	0.625	NUM
ejpam-5545	495	32	0.5	0.5	NUM
ejpam-5545	495	33	0.875	0.875	NUM
ejpam-5545	495	34	0.75	0.75	NUM
ejpam-5545	495	35	0.875	0.875	NUM
ejpam-5545	495	36	p4	p4	ADJ
ejpam-5545	495	37	0.25	0.25	NUM
ejpam-5545	495	38	0.125	0.125	NUM
ejpam-5545	495	39	0.5	0.5	NUM
ejpam-5545	495	40	1	1	NUM
ejpam-5545	495	41	0.375	0.375	NUM
ejpam-5545	495	42	0.5	0.5	NUM
ejpam-5545	495	43	0.375	0.375	NUM
ejpam-5545	495	44	0.75	0.75	NUM
ejpam-5545	495	45	p5	p5	ADJ
ejpam-5545	495	46	0.625	0.625	NUM
ejpam-5545	495	47	0.5	0.5	NUM
ejpam-5545	495	48	0.5	0.5	NUM
ejpam-5545	495	49	0.375	0.375	NUM
ejpam-5545	495	50	1	1	NUM
ejpam-5545	495	51	0.625	0.625	NUM
ejpam-5545	495	52	0.5	0.5	NUM
ejpam-5545	495	53	0.625	0.625	NUM
ejpam-5545	495	54	p6	p6	NOUN
ejpam-5545	495	55	0.5	0.5	NUM
ejpam-5545	495	56	0.375	0.375	NUM
ejpam-5545	495	57	0.875	0.875	NUM
ejpam-5545	495	58	0.5	0.5	NUM
ejpam-5545	495	59	0.625	0.625	NUM
ejpam-5545	495	60	1	1	NUM
ejpam-5545	495	61	0.875	0.875	NUM
ejpam-5545	495	62	0.75	0.75	NUM
ejpam-5545	495	63	p7	p7	ADJ
ejpam-5545	495	64	0.625	0.625	NUM
ejpam-5545	495	65	0.5	0.5	NUM
ejpam-5545	495	66	0.75	0.75	NUM
ejpam-5545	495	67	0.375	0.375	NUM
ejpam-5545	495	68	0.5	0.5	NUM
ejpam-5545	495	69	0.875	0.875	NUM
ejpam-5545	495	70	1	1	NUM
ejpam-5545	495	71	0.625	0.625	NUM
ejpam-5545	495	72	p8	p8	NOUN
ejpam-5545	495	73	0.5	0.5	NUM
ejpam-5545	495	74	0.375	0.375	NUM
ejpam-5545	495	75	0.875	0.875	NUM
ejpam-5545	495	76	0.75	0.75	NUM
ejpam-5545	495	77	0.625	0.625	NUM
ejpam-5545	495	78	0.625	0.625	NUM
ejpam-5545	495	79	0.75	0.75	NUM
ejpam-5545	495	80	1	1	NUM
ejpam-5545	495	81	•	•	NUM
ejpam-5545	495	82	the	the	DET
ejpam-5545	495	83	infected	infected	ADJ
ejpam-5545	495	84	persons	person	NOUN
ejpam-5545	495	85	with	with	ADP
ejpam-5545	495	86	alpha	alpha	NOUN
ejpam-5545	495	87	:	:	PUNCT
ejpam-5545	495	88	w2	w2	NOUN
ejpam-5545	495	89	=	=	SYM
ejpam-5545	495	90	{	{	PUNCT
ejpam-5545	495	91	p2	p2	PROPN
ejpam-5545	495	92	}	}	PUNCT
ejpam-5545	495	93	.	.	PUNCT
ejpam-5545	496	1	•	•	NUM
ejpam-5545	496	2	the	the	DET
ejpam-5545	496	3	infected	infected	ADJ
ejpam-5545	496	4	persons	person	NOUN
ejpam-5545	496	5	with	with	ADP
ejpam-5545	496	6	delta	delta	NOUN
ejpam-5545	496	7	:	:	PUNCT
ejpam-5545	496	8	w3	w3	PROPN
ejpam-5545	496	9	=	=	SYM
ejpam-5545	496	10	{	{	PUNCT
ejpam-5545	496	11	p5	p5	PROPN
ejpam-5545	496	12	,	,	PUNCT
ejpam-5545	496	13	p6	p6	PROPN
ejpam-5545	496	14	,	,	PUNCT
ejpam-5545	496	15	p7	p7	PROPN
ejpam-5545	496	16	}	}	PUNCT
ejpam-5545	496	17	.	.	PUNCT
ejpam-5545	497	1	the	the	DET
ejpam-5545	497	2	next	next	ADJ
ejpam-5545	497	3	phases	phase	NOUN
ejpam-5545	497	4	include	include	VERB
ejpam-5545	497	5	creating	create	VERB
ejpam-5545	497	6	customized	customize	VERB
ejpam-5545	497	7	associations	association	NOUN
ejpam-5545	497	8	to	to	PART
ejpam-5545	497	9	suit	suit	VERB
ejpam-5545	497	10	the	the	DET
ejpam-5545	497	11	scheme	scheme	NOUN
ejpam-5545	497	12	’s	’s	PART
ejpam-5545	497	13	needs	need	NOUN
ejpam-5545	497	14	.	.	PUNCT
ejpam-5545	498	1	we	we	PRON
ejpam-5545	498	2	create	create	VERB
ejpam-5545	498	3	r	r	NOUN
ejpam-5545	498	4	-	-	PUNCT
ejpam-5545	498	5	neighborhoods	neighborhood	NOUN
ejpam-5545	498	6	and	and	CCONJ
ejpam-5545	498	7	b	b	NOUN
ejpam-5545	498	8	-	-	PUNCT
ejpam-5545	498	9	neighborhoods	neighborhood	NOUN
ejpam-5545	498	10	for	for	ADP
ejpam-5545	498	11	all	all	DET
ejpam-5545	498	12	patients	patient	NOUN
ejpam-5545	498	13	,	,	PUNCT
ejpam-5545	498	14	as	as	SCONJ
ejpam-5545	498	15	shown	show	VERB
ejpam-5545	498	16	in	in	ADP
ejpam-5545	498	17	table	table	NOUN
ejpam-5545	498	18	6	6	NUM
ejpam-5545	498	19	,	,	PUNCT
ejpam-5545	498	20	using	use	VERB
ejpam-5545	498	21	a	a	DET
ejpam-5545	498	22	relation	relation	NOUN
ejpam-5545	498	23	appropriate	appropriate	ADJ
ejpam-5545	498	24	for	for	ADP
ejpam-5545	498	25	the	the	DET
ejpam-5545	498	26	task	task	NOUN
ejpam-5545	498	27	at	at	ADP
ejpam-5545	498	28	hand	hand	NOUN
ejpam-5545	498	29	.	.	PUNCT
ejpam-5545	499	1	based	base	VERB
ejpam-5545	499	2	on	on	ADP
ejpam-5545	499	3	expert	expert	NOUN
ejpam-5545	499	4	advice	advice	NOUN
ejpam-5545	499	5	from	from	ADP
ejpam-5545	499	6	doctors	doctor	NOUN
ejpam-5545	499	7	,	,	PUNCT
ejpam-5545	499	8	the	the	DET
ejpam-5545	499	9	relation	relation	NOUN
ejpam-5545	499	10	is	be	AUX
ejpam-5545	499	11	defined	define	VERB
ejpam-5545	499	12	as	as	ADP
ejpam-5545	499	13	:	:	PUNCT
ejpam-5545	499	14	xθy	xθy	PROPN
ejpam-5545	499	15	⇔	⇔	X
ejpam-5545	499	16	υ(x	υ(x	PROPN
ejpam-5545	499	17	,	,	PUNCT
ejpam-5545	499	18	y	y	PROPN
ejpam-5545	499	19	)	)	PUNCT
ejpam-5545	499	20	≥	≥	NOUN
ejpam-5545	499	21	0.75	0.75	NUM
ejpam-5545	499	22	.	.	PUNCT
ejpam-5545	500	1	the	the	DET
ejpam-5545	500	2	proposed	propose	VERB
ejpam-5545	500	3	relation	relation	NOUN
ejpam-5545	500	4	mentioned	mention	VERB
ejpam-5545	500	5	above	above	ADV
ejpam-5545	500	6	,	,	PUNCT
ejpam-5545	500	7	characterized	characterize	VERB
ejpam-5545	500	8	by	by	ADP
ejpam-5545	500	9	a	a	DET
ejpam-5545	500	10	threshold	threshold	NOUN
ejpam-5545	500	11	value	value	NOUN
ejpam-5545	500	12	of	of	ADP
ejpam-5545	500	13	0.75	0.75	NUM
ejpam-5545	500	14	,	,	PUNCT
ejpam-5545	500	15	indicates	indicate	VERB
ejpam-5545	500	16	the	the	DET
ejpam-5545	500	17	degree	degree	NOUN
ejpam-5545	500	18	of	of	ADP
ejpam-5545	500	19	similarity	similarity	NOUN
ejpam-5545	500	20	,	,	PUNCT
ejpam-5545	500	21	where	where	SCONJ
ejpam-5545	500	22	larger	large	ADJ
ejpam-5545	500	23	values	value	NOUN
ejpam-5545	500	24	indicate	indicate	VERB
ejpam-5545	500	25	greater	great	ADJ
ejpam-5545	500	26	similarity	similarity	NOUN
ejpam-5545	500	27	and	and	CCONJ
ejpam-5545	500	28	increased	increase	VERB
ejpam-5545	500	29	accuracy	accuracy	NOUN
ejpam-5545	500	30	of	of	ADP
ejpam-5545	500	31	results	result	NOUN
ejpam-5545	500	32	.	.	PUNCT
ejpam-5545	501	1	this	this	DET
ejpam-5545	501	2	relation	relation	NOUN
ejpam-5545	501	3	can	can	AUX
ejpam-5545	501	4	be	be	AUX
ejpam-5545	501	5	adjusted	adjust	VERB
ejpam-5545	501	6	according	accord	VERB
ejpam-5545	501	7	to	to	ADP
ejpam-5545	501	8	the	the	DET
ejpam-5545	501	9	perspectives	perspective	NOUN
ejpam-5545	501	10	of	of	ADP
ejpam-5545	501	11	system	system	NOUN
ejpam-5545	501	12	specialists	specialist	NOUN
ejpam-5545	501	13	.	.	PUNCT
ejpam-5545	502	1	moreover	moreover	ADV
ejpam-5545	502	2	,	,	PUNCT
ejpam-5545	502	3	this	this	DET
ejpam-5545	502	4	relation	relation	NOUN
ejpam-5545	502	5	represents	represent	VERB
ejpam-5545	502	6	a	a	DET
ejpam-5545	502	7	similarity	similarity	NOUN
ejpam-5545	502	8	relation	relation	NOUN
ejpam-5545	502	9	that	that	PRON
ejpam-5545	502	10	is	be	AUX
ejpam-5545	502	11	nontransitive	nontransitive	ADJ
ejpam-5545	502	12	,	,	PUNCT
ejpam-5545	502	13	meaning	mean	VERB
ejpam-5545	502	14	it	it	PRON
ejpam-5545	502	15	does	do	AUX
ejpam-5545	502	16	not	not	PART
ejpam-5545	502	17	satisfy	satisfy	VERB
ejpam-5545	502	18	the	the	DET
ejpam-5545	502	19	properties	property	NOUN
ejpam-5545	502	20	of	of	ADP
ejpam-5545	502	21	an	an	DET
ejpam-5545	502	22	equivalence	equivalence	NOUN
ejpam-5545	502	23	relation	relation	NOUN
ejpam-5545	502	24	.	.	PUNCT
ejpam-5545	503	1	consequently	consequently	ADV
ejpam-5545	503	2	,	,	PUNCT
ejpam-5545	503	3	pawlak	pawlak	ADJ
ejpam-5545	503	4	’s	’s	PART
ejpam-5545	503	5	technique	technique	NOUN
ejpam-5545	503	6	inadequately	inadequately	ADV
ejpam-5545	503	7	addresses	address	NOUN
ejpam-5545	503	8	and	and	CCONJ
ejpam-5545	503	9	describes	describe	VERB
ejpam-5545	503	10	this	this	DET
ejpam-5545	503	11	issue	issue	NOUN
ejpam-5545	503	12	.	.	PUNCT
ejpam-5545	504	1	table	table	NOUN
ejpam-5545	504	2	7	7	NUM
ejpam-5545	504	3	:	:	PUNCT
ejpam-5545	504	4	r	r	NOUN
ejpam-5545	504	5	-	-	PUNCT
ejpam-5545	504	6	neighborhoods	neighborhood	NOUN
ejpam-5545	504	7	,	,	PUNCT
ejpam-5545	504	8	m	m	NOUN
ejpam-5545	504	9	-	-	NOUN
ejpam-5545	504	10	neighborhoods	neighborhood	NOUN
ejpam-5545	504	11	,	,	PUNCT
ejpam-5545	504	12	and	and	CCONJ
ejpam-5545	504	13	b	b	X
ejpam-5545	504	14	-	-	PUNCT
ejpam-5545	504	15	neighborhoods	neighborhood	NOUN
ejpam-5545	504	16	of	of	ADP
ejpam-5545	504	17	each	each	DET
ejpam-5545	504	18	patient	patient	NOUN
ejpam-5545	504	19	.	.	PUNCT
ejpam-5545	505	1	x	x	PUNCT
ejpam-5545	505	2	℧	℧	ADP
ejpam-5545	505	3	r	r	NOUN
ejpam-5545	505	4	(	(	PUNCT
ejpam-5545	505	5	x	x	NOUN
ejpam-5545	505	6	)	)	PUNCT
ejpam-5545	505	7	℧	℧	NOUN
ejpam-5545	505	8	m	m	PROPN
ejpam-5545	505	9	(	(	PUNCT
ejpam-5545	505	10	x	x	NOUN
ejpam-5545	505	11	)	)	PUNCT
ejpam-5545	505	12	℧	℧	PROPN
ejpam-5545	505	13	b	b	X
ejpam-5545	505	14	(	(	PUNCT
ejpam-5545	505	15	x	x	NOUN
ejpam-5545	505	16	)	)	PUNCT
ejpam-5545	505	17	p1	p1	PROPN
ejpam-5545	505	18	{	{	PUNCT
ejpam-5545	505	19	p1	p1	PROPN
ejpam-5545	505	20	,	,	PUNCT
ejpam-5545	505	21	p2	p2	X
ejpam-5545	505	22	}	}	PUNCT
ejpam-5545	505	23	{	{	PUNCT
ejpam-5545	505	24	p1	p1	NOUN
ejpam-5545	505	25	,	,	PUNCT
ejpam-5545	505	26	p2	p2	X
ejpam-5545	505	27	}	}	PUNCT
ejpam-5545	505	28	{	{	PUNCT
ejpam-5545	505	29	p1	p1	NOUN
ejpam-5545	505	30	,	,	PUNCT
ejpam-5545	505	31	p2	p2	NOUN
ejpam-5545	505	32	}	}	PUNCT
ejpam-5545	505	33	p2	p2	PROPN
ejpam-5545	505	34	{	{	PUNCT
ejpam-5545	505	35	p1	p1	NOUN
ejpam-5545	505	36	,	,	PUNCT
ejpam-5545	505	37	p2	p2	X
ejpam-5545	505	38	}	}	PUNCT
ejpam-5545	505	39	{	{	PUNCT
ejpam-5545	505	40	p1	p1	NOUN
ejpam-5545	505	41	,	,	PUNCT
ejpam-5545	505	42	p2	p2	X
ejpam-5545	505	43	}	}	PUNCT
ejpam-5545	505	44	{	{	PUNCT
ejpam-5545	505	45	p1	p1	NOUN
ejpam-5545	505	46	,	,	PUNCT
ejpam-5545	505	47	p2	p2	PROPN
ejpam-5545	505	48	}	}	PUNCT
ejpam-5545	505	49	p3	p3	PROPN
ejpam-5545	505	50	{	{	PUNCT
ejpam-5545	505	51	p3	p3	PROPN
ejpam-5545	505	52	,	,	PUNCT
ejpam-5545	505	53	p6	p6	PROPN
ejpam-5545	505	54	,	,	PUNCT
ejpam-5545	505	55	p7	p7	ADJ
ejpam-5545	505	56	,	,	PUNCT
ejpam-5545	505	57	p8	p8	PROPN
ejpam-5545	505	58	}	}	PUNCT
ejpam-5545	505	59	{	{	PUNCT
ejpam-5545	505	60	p3	p3	PROPN
ejpam-5545	505	61	,	,	PUNCT
ejpam-5545	505	62	p4	p4	ADJ
ejpam-5545	505	63	,	,	PUNCT
ejpam-5545	505	64	p6	p6	PROPN
ejpam-5545	505	65	,	,	PUNCT
ejpam-5545	505	66	p7	p7	ADJ
ejpam-5545	505	67	,	,	PUNCT
ejpam-5545	505	68	p8	p8	PROPN
ejpam-5545	505	69	}	}	PUNCT
ejpam-5545	505	70	{	{	PUNCT
ejpam-5545	505	71	p3	p3	PROPN
ejpam-5545	505	72	,	,	PUNCT
ejpam-5545	505	73	p6	p6	PROPN
ejpam-5545	505	74	,	,	PUNCT
ejpam-5545	505	75	p7	p7	ADJ
ejpam-5545	505	76	}	}	PUNCT
ejpam-5545	505	77	p4	p4	ADJ
ejpam-5545	505	78	{	{	PUNCT
ejpam-5545	505	79	p4	p4	ADJ
ejpam-5545	505	80	,	,	PUNCT
ejpam-5545	505	81	p8	p8	PROPN
ejpam-5545	505	82	}	}	PUNCT
ejpam-5545	505	83	{	{	PUNCT
ejpam-5545	505	84	p3	p3	PROPN
ejpam-5545	505	85	,	,	PUNCT
ejpam-5545	505	86	p4	p4	ADJ
ejpam-5545	505	87	,	,	PUNCT
ejpam-5545	505	88	p6	p6	PROPN
ejpam-5545	505	89	,	,	PUNCT
ejpam-5545	505	90	p8	p8	PROPN
ejpam-5545	505	91	}	}	PUNCT
ejpam-5545	505	92	{	{	PUNCT
ejpam-5545	505	93	p4	p4	ADJ
ejpam-5545	505	94	}	}	PUNCT
ejpam-5545	505	95	p5	p5	ADJ
ejpam-5545	505	96	{	{	PUNCT
ejpam-5545	505	97	p5	p5	PROPN
ejpam-5545	505	98	}	}	PUNCT
ejpam-5545	505	99	{	{	PUNCT
ejpam-5545	505	100	p5	p5	PROPN
ejpam-5545	505	101	}	}	PUNCT
ejpam-5545	505	102	{	{	PUNCT
ejpam-5545	505	103	p5	p5	PROPN
ejpam-5545	505	104	}	}	PUNCT
ejpam-5545	505	105	p6	p6	PROPN
ejpam-5545	505	106	{	{	PUNCT
ejpam-5545	505	107	p3	p3	PROPN
ejpam-5545	505	108	,	,	PUNCT
ejpam-5545	505	109	p6	p6	PROPN
ejpam-5545	505	110	,	,	PUNCT
ejpam-5545	505	111	p7	p7	ADJ
ejpam-5545	505	112	}	}	PUNCT
ejpam-5545	505	113	{	{	PUNCT
ejpam-5545	505	114	p3	p3	PROPN
ejpam-5545	505	115	,	,	PUNCT
ejpam-5545	505	116	p4	p4	ADJ
ejpam-5545	505	117	,	,	PUNCT
ejpam-5545	505	118	p6	p6	PROPN
ejpam-5545	505	119	,	,	PUNCT
ejpam-5545	505	120	p7	p7	ADJ
ejpam-5545	505	121	,	,	PUNCT
ejpam-5545	505	122	p8	p8	PROPN
ejpam-5545	505	123	}	}	PUNCT
ejpam-5545	505	124	{	{	PUNCT
ejpam-5545	505	125	p6	p6	PROPN
ejpam-5545	505	126	}	}	PUNCT
ejpam-5545	505	127	p7	p7	PROPN
ejpam-5545	505	128	{	{	PUNCT
ejpam-5545	505	129	p3	p3	PROPN
ejpam-5545	505	130	,	,	PUNCT
ejpam-5545	505	131	p6	p6	PROPN
ejpam-5545	505	132	,	,	PUNCT
ejpam-5545	505	133	p7	p7	ADJ
ejpam-5545	505	134	,	,	PUNCT
ejpam-5545	505	135	p8	p8	PROPN
ejpam-5545	505	136	}	}	PUNCT
ejpam-5545	505	137	{	{	PUNCT
ejpam-5545	505	138	p3	p3	PROPN
ejpam-5545	505	139	,	,	PUNCT
ejpam-5545	505	140	p6	p6	PROPN
ejpam-5545	505	141	,	,	PUNCT
ejpam-5545	505	142	p7	p7	ADJ
ejpam-5545	505	143	,	,	PUNCT
ejpam-5545	505	144	p8	p8	PROPN
ejpam-5545	505	145	}	}	PUNCT
ejpam-5545	505	146	{	{	PUNCT
ejpam-5545	505	147	p3	p3	PROPN
ejpam-5545	505	148	,	,	PUNCT
ejpam-5545	505	149	p6	p6	PROPN
ejpam-5545	505	150	,	,	PUNCT
ejpam-5545	505	151	p7	p7	ADJ
ejpam-5545	505	152	}	}	PUNCT
ejpam-5545	505	153	p8	p8	PROPN
ejpam-5545	505	154	{	{	PUNCT
ejpam-5545	505	155	p3	p3	PROPN
ejpam-5545	505	156	,	,	PUNCT
ejpam-5545	505	157	p4	p4	ADJ
ejpam-5545	505	158	,	,	PUNCT
ejpam-5545	505	159	p6	p6	PROPN
ejpam-5545	505	160	,	,	PUNCT
ejpam-5545	505	161	p8	p8	PROPN
ejpam-5545	505	162	}	}	PUNCT
ejpam-5545	505	163	{	{	PUNCT
ejpam-5545	505	164	p3	p3	PROPN
ejpam-5545	505	165	,	,	PUNCT
ejpam-5545	505	166	p4	p4	ADJ
ejpam-5545	505	167	,	,	PUNCT
ejpam-5545	505	168	p6	p6	PROPN
ejpam-5545	505	169	,	,	PUNCT
ejpam-5545	505	170	p7	p7	ADJ
ejpam-5545	505	171	,	,	PUNCT
ejpam-5545	505	172	p8	p8	PROPN
ejpam-5545	505	173	}	}	PUNCT
ejpam-5545	505	174	{	{	PUNCT
ejpam-5545	505	175	p4	p4	ADJ
ejpam-5545	505	176	,	,	PUNCT
ejpam-5545	505	177	p8	p8	PROPN
ejpam-5545	505	178	}	}	PUNCT
ejpam-5545	505	179	next	next	ADV
ejpam-5545	505	180	,	,	PUNCT
ejpam-5545	505	181	we	we	PRON
ejpam-5545	505	182	use	use	VERB
ejpam-5545	505	183	the	the	DET
ejpam-5545	505	184	proposed	propose	VERB
ejpam-5545	505	185	method	method	NOUN
ejpam-5545	505	186	(	(	PUNCT
ejpam-5545	505	187	βb	βb	ADJ
ejpam-5545	505	188	-	-	PUNCT
ejpam-5545	505	189	rough	rough	ADJ
ejpam-5545	505	190	sets	set	NOUN
ejpam-5545	505	191	)	)	PUNCT
ejpam-5545	505	192	to	to	PART
ejpam-5545	505	193	calculate	calculate	VERB
ejpam-5545	505	194	the	the	DET
ejpam-5545	505	195	approximations	approximation	NOUN
ejpam-5545	505	196	(	(	PUNCT
ejpam-5545	505	197	resp	resp	NOUN
ejpam-5545	505	198	.	.	PUNCT
ejpam-5545	506	1	accuracies	accuracy	NOUN
ejpam-5545	506	2	)	)	PUNCT
ejpam-5545	506	3	for	for	ADP
ejpam-5545	506	4	the	the	DET
ejpam-5545	506	5	subsets	subset	NOUN
ejpam-5545	506	6	q	q	PROPN
ejpam-5545	506	7	,	,	PUNCT
ejpam-5545	506	8	w	w	PROPN
ejpam-5545	506	9	,	,	PUNCT
ejpam-5545	506	10	w1	w1	NOUN
ejpam-5545	506	11	,	,	PUNCT
ejpam-5545	506	12	w2	w2	NOUN
ejpam-5545	506	13	,	,	PUNCT
ejpam-5545	506	14	and	and	CCONJ
ejpam-5545	506	15	w3	w3	PROPN
ejpam-5545	506	16	.	.	PUNCT
ejpam-5545	507	1	m.	m.	PROPN
ejpam-5545	507	2	k.	k.	PROPN
ejpam-5545	508	1	el	el	PROPN
ejpam-5545	508	2	-	-	PROPN
ejpam-5545	508	3	bably	bably	PROPN
ejpam-5545	508	4	et	et	PROPN
ejpam-5545	508	5	al	al	PROPN
ejpam-5545	508	6	.	.	PUNCT
ejpam-5545	508	7	/	/	SYM
ejpam-5545	508	8	eur	eur	PROPN
ejpam-5545	508	9	.	.	PUNCT
ejpam-5545	509	1	j.	j.	PROPN
ejpam-5545	509	2	pure	pure	PROPN
ejpam-5545	509	3	appl	appl	PROPN
ejpam-5545	509	4	.	.	PROPN
ejpam-5545	509	5	math	math	PROPN
ejpam-5545	509	6	,	,	PUNCT
ejpam-5545	509	7	17	17	NUM
ejpam-5545	509	8	(	(	PUNCT
ejpam-5545	509	9	4	4	NUM
ejpam-5545	509	10	)	)	PUNCT
ejpam-5545	509	11	(	(	PUNCT
ejpam-5545	509	12	2024	2024	NUM
ejpam-5545	509	13	)	)	PUNCT
ejpam-5545	509	14	,	,	PUNCT
ejpam-5545	509	15	3743	3743	NUM
ejpam-5545	509	16	-	-	SYM
ejpam-5545	509	17	3771	3771	NUM
ejpam-5545	509	18	3761	3761	NUM
ejpam-5545	509	19	furthermore	furthermore	ADV
ejpam-5545	509	20	,	,	PUNCT
ejpam-5545	509	21	comparisons	comparison	NOUN
ejpam-5545	509	22	of	of	ADP
ejpam-5545	509	23	these	these	DET
ejpam-5545	509	24	results	result	NOUN
ejpam-5545	509	25	to	to	ADP
ejpam-5545	509	26	those	those	PRON
ejpam-5545	509	27	obtained	obtain	VERB
ejpam-5545	509	28	using	use	VERB
ejpam-5545	509	29	prior	prior	ADJ
ejpam-5545	509	30	methodologies	methodology	NOUN
ejpam-5545	509	31	are	be	AUX
ejpam-5545	509	32	provided	provide	VERB
ejpam-5545	509	33	in	in	ADP
ejpam-5545	509	34	publications	publication	NOUN
ejpam-5545	509	35	[	[	X
ejpam-5545	509	36	65	65	NUM
ejpam-5545	509	37	]	]	PUNCT
ejpam-5545	509	38	,	,	PUNCT
ejpam-5545	509	39	[	[	X
ejpam-5545	509	40	27	27	NUM
ejpam-5545	509	41	]	]	PUNCT
ejpam-5545	509	42	,	,	PUNCT
ejpam-5545	509	43	and	and	CCONJ
ejpam-5545	509	44	[	[	X
ejpam-5545	509	45	8	8	NUM
ejpam-5545	509	46	]	]	PUNCT
ejpam-5545	509	47	.	.	PUNCT
ejpam-5545	510	1	this	this	DET
ejpam-5545	510	2	comparative	comparative	ADJ
ejpam-5545	510	3	analysis	analysis	NOUN
ejpam-5545	510	4	is	be	AUX
ejpam-5545	510	5	intended	intend	VERB
ejpam-5545	510	6	to	to	PART
ejpam-5545	510	7	demonstrate	demonstrate	VERB
ejpam-5545	510	8	the	the	DET
ejpam-5545	510	9	importance	importance	NOUN
ejpam-5545	510	10	of	of	ADP
ejpam-5545	510	11	the	the	DET
ejpam-5545	510	12	supplied	supply	VERB
ejpam-5545	510	13	approaches	approach	NOUN
ejpam-5545	510	14	in	in	ADP
ejpam-5545	510	15	the	the	DET
ejpam-5545	510	16	medical	medical	ADJ
ejpam-5545	510	17	identification	identification	NOUN
ejpam-5545	510	18	of	of	ADP
ejpam-5545	510	19	covid-19	covid-19	PROPN
ejpam-5545	510	20	variations	variation	NOUN
ejpam-5545	510	21	,	,	PUNCT
ejpam-5545	510	22	as	as	SCONJ
ejpam-5545	510	23	confirmed	confirm	VERB
ejpam-5545	510	24	in	in	ADP
ejpam-5545	510	25	table	table	NOUN
ejpam-5545	510	26	8	8	NUM
ejpam-5545	510	27	.	.	PUNCT
ejpam-5545	510	28	table	table	NOUN
ejpam-5545	510	29	8	8	NUM
ejpam-5545	510	30	:	:	PUNCT
ejpam-5545	510	31	comparisons	comparison	NOUN
ejpam-5545	510	32	of	of	ADP
ejpam-5545	510	33	yao	yao	NOUN
ejpam-5545	511	1	[	[	X
ejpam-5545	511	2	3	3	NUM
ejpam-5545	511	3	]	]	PUNCT
ejpam-5545	511	4	,	,	PUNCT
ejpam-5545	511	5	dai	dai	PROPN
ejpam-5545	511	6	et	et	PROPN
ejpam-5545	511	7	al	al	PROPN
ejpam-5545	511	8	,	,	PUNCT
ejpam-5545	511	9	[	[	X
ejpam-5545	511	10	27	27	NUM
ejpam-5545	511	11	]	]	PUNCT
ejpam-5545	511	12	,	,	PUNCT
ejpam-5545	511	13	abu	abu	PROPN
ejpam-5545	511	14	-	-	PUNCT
ejpam-5545	511	15	gadairi	gadairi	PROPN
ejpam-5545	511	16	[	[	X
ejpam-5545	511	17	8	8	NUM
ejpam-5545	511	18	]	]	SYM
ejpam-5545	511	19	methodologies	methodology	NOUN
ejpam-5545	511	20	with	with	ADP
ejpam-5545	511	21	the	the	DET
ejpam-5545	511	22	current	current	ADJ
ejpam-5545	511	23	method	method	NOUN
ejpam-5545	511	24	.	.	PUNCT
ejpam-5545	512	1	i	i	PRON
ejpam-5545	512	2	yao	yao	NOUN
ejpam-5545	512	3	’	'	PUNCT
ejpam-5545	512	4	technique	technique	NOUN
ejpam-5545	512	5	dai	dai	PROPN
ejpam-5545	512	6	et	et	PROPN
ejpam-5545	512	7	al	al	PROPN
ejpam-5545	512	8	.	.	PUNCT
ejpam-5545	512	9	’	'	PUNCT
ejpam-5545	513	1	technique	technique	NOUN
ejpam-5545	513	2	lr	lr	X
ejpam-5545	513	3	(	(	PUNCT
ejpam-5545	513	4	i	i	NOUN
ejpam-5545	513	5	)	)	PUNCT
ejpam-5545	513	6	ur	ur	INTJ
ejpam-5545	513	7	(	(	PUNCT
ejpam-5545	513	8	i	i	NOUN
ejpam-5545	513	9	)	)	PUNCT
ejpam-5545	513	10	ar	ar	PROPN
ejpam-5545	513	11	(	(	PUNCT
ejpam-5545	513	12	i	i	PROPN
ejpam-5545	513	13	)	)	PUNCT
ejpam-5545	513	14	lm	lm	INTJ
ejpam-5545	513	15	(	(	PUNCT
ejpam-5545	513	16	i	i	NOUN
ejpam-5545	513	17	)	)	PUNCT
ejpam-5545	513	18	um	um	INTJ
ejpam-5545	513	19	(	(	PUNCT
ejpam-5545	513	20	i	i	NOUN
ejpam-5545	513	21	)	)	PUNCT
ejpam-5545	513	22	am	be	AUX
ejpam-5545	513	23	(	(	PUNCT
ejpam-5545	513	24	i	i	NOUN
ejpam-5545	513	25	)	)	PUNCT
ejpam-5545	513	26	q	q	NOUN
ejpam-5545	514	1	{	{	PUNCT
ejpam-5545	514	2	p1	p1	NOUN
ejpam-5545	514	3	,	,	PUNCT
ejpam-5545	514	4	p2	p2	NOUN
ejpam-5545	514	5	,	,	PUNCT
ejpam-5545	514	6	p5	p5	ADJ
ejpam-5545	514	7	}	}	PUNCT
ejpam-5545	514	8	s−	s−	PROPN
ejpam-5545	514	9	{	{	PUNCT
ejpam-5545	514	10	p4	p4	ADJ
ejpam-5545	514	11	}	}	PUNCT
ejpam-5545	514	12	42	42	NUM
ejpam-5545	514	13	%	%	NOUN
ejpam-5545	514	14	{	{	PUNCT
ejpam-5545	514	15	p1	p1	NOUN
ejpam-5545	514	16	,	,	PUNCT
ejpam-5545	514	17	p2	p2	NOUN
ejpam-5545	514	18	,	,	PUNCT
ejpam-5545	514	19	p5	p5	ADJ
ejpam-5545	514	20	}	}	PUNCT
ejpam-5545	514	21	s−	s−	PROPN
ejpam-5545	514	22	{	{	PUNCT
ejpam-5545	514	23	p5	p5	PROPN
ejpam-5545	514	24	}	}	PUNCT
ejpam-5545	514	25	42	42	NUM
ejpam-5545	514	26	%	%	NOUN
ejpam-5545	514	27	w	w	NOUN
ejpam-5545	514	28	{	{	PUNCT
ejpam-5545	514	29	p4	p4	ADJ
ejpam-5545	514	30	}	}	PUNCT
ejpam-5545	514	31	s−	s−	PROPN
ejpam-5545	514	32	{	{	PUNCT
ejpam-5545	514	33	p1	p1	PROPN
ejpam-5545	514	34	,	,	PUNCT
ejpam-5545	514	35	p2	p2	NOUN
ejpam-5545	514	36	,	,	PUNCT
ejpam-5545	514	37	p5	p5	ADJ
ejpam-5545	514	38	}	}	PUNCT
ejpam-5545	514	39	20	20	NUM
ejpam-5545	514	40	%	%	NOUN
ejpam-5545	514	41	{	{	PUNCT
ejpam-5545	514	42	p4	p4	ADJ
ejpam-5545	514	43	}	}	PUNCT
ejpam-5545	514	44	s−	s−	PROPN
ejpam-5545	514	45	{	{	PUNCT
ejpam-5545	514	46	p1	p1	PROPN
ejpam-5545	514	47	,	,	PUNCT
ejpam-5545	514	48	p2	p2	NOUN
ejpam-5545	514	49	,	,	PUNCT
ejpam-5545	514	50	p5	p5	ADJ
ejpam-5545	514	51	}	}	PUNCT
ejpam-5545	514	52	20	20	NUM
ejpam-5545	514	53	%	%	NOUN
ejpam-5545	514	54	w1	w1	PROPN
ejpam-5545	514	55	φ	φ	PROPN
ejpam-5545	514	56	{	{	PUNCT
ejpam-5545	514	57	p1	p1	PROPN
ejpam-5545	514	58	,	,	PUNCT
ejpam-5545	514	59	p2	p2	X
ejpam-5545	514	60	}	}	PUNCT
ejpam-5545	514	61	0	0	NUM
ejpam-5545	514	62	φ	φ	PROPN
ejpam-5545	514	63	{	{	PUNCT
ejpam-5545	514	64	p1	p1	PROPN
ejpam-5545	514	65	,	,	PUNCT
ejpam-5545	514	66	p2	p2	AUX
ejpam-5545	514	67	}	}	PUNCT
ejpam-5545	514	68	0	0	NUM
ejpam-5545	514	69	w2	w2	PROPN
ejpam-5545	514	70	φ	φ	PROPN
ejpam-5545	514	71	{	{	PUNCT
ejpam-5545	514	72	p1	p1	PROPN
ejpam-5545	514	73	,	,	PUNCT
ejpam-5545	514	74	p2	p2	X
ejpam-5545	514	75	}	}	PUNCT
ejpam-5545	514	76	0	0	NUM
ejpam-5545	514	77	φ	φ	PROPN
ejpam-5545	514	78	{	{	PUNCT
ejpam-5545	514	79	p1	p1	PROPN
ejpam-5545	514	80	,	,	PUNCT
ejpam-5545	514	81	p2	p2	AUX
ejpam-5545	514	82	}	}	PUNCT
ejpam-5545	514	83	0	0	NUM
ejpam-5545	514	84	w3	w3	PROPN
ejpam-5545	514	85	{	{	PUNCT
ejpam-5545	514	86	p5	p5	PROPN
ejpam-5545	514	87	}	}	PUNCT
ejpam-5545	514	88	{	{	PUNCT
ejpam-5545	514	89	p3	p3	PROPN
ejpam-5545	514	90	,	,	PUNCT
ejpam-5545	514	91	p5	p5	PROPN
ejpam-5545	514	92	,	,	PUNCT
ejpam-5545	514	93	p6	p6	PROPN
ejpam-5545	514	94	,	,	PUNCT
ejpam-5545	514	95	p7	p7	ADJ
ejpam-5545	514	96	,	,	PUNCT
ejpam-5545	514	97	p8	p8	PROPN
ejpam-5545	514	98	}	}	PUNCT
ejpam-5545	514	99	20	20	NUM
ejpam-5545	514	100	%	%	NOUN
ejpam-5545	514	101	{	{	PUNCT
ejpam-5545	514	102	p7	p7	PROPN
ejpam-5545	514	103	}	}	PUNCT
ejpam-5545	514	104	{	{	PUNCT
ejpam-5545	514	105	p3	p3	PROPN
ejpam-5545	514	106	,	,	PUNCT
ejpam-5545	514	107	p6	p6	PROPN
ejpam-5545	514	108	,	,	PUNCT
ejpam-5545	514	109	p7	p7	ADJ
ejpam-5545	514	110	,	,	PUNCT
ejpam-5545	514	111	p8	p8	PROPN
ejpam-5545	514	112	}	}	PUNCT
ejpam-5545	514	113	25	25	NUM
ejpam-5545	514	114	%	%	NOUN
ejpam-5545	515	1	i	i	PROPN
ejpam-5545	515	2	abu	abu	PROPN
ejpam-5545	515	3	-	-	PUNCT
ejpam-5545	515	4	gdairi	gdairi	PROPN
ejpam-5545	515	5	method	method	VERB
ejpam-5545	515	6	current	current	ADJ
ejpam-5545	515	7	technique	technique	NOUN
ejpam-5545	515	8	lb	lb	X
ejpam-5545	515	9	(	(	PUNCT
ejpam-5545	515	10	i	i	NOUN
ejpam-5545	515	11	)	)	PUNCT
ejpam-5545	515	12	ub	ub	PROPN
ejpam-5545	516	1	(	(	PUNCT
ejpam-5545	516	2	i	i	NOUN
ejpam-5545	516	3	)	)	PUNCT
ejpam-5545	516	4	ab	ab	PROPN
ejpam-5545	516	5	(	(	PUNCT
ejpam-5545	516	6	i	i	NOUN
ejpam-5545	516	7	)	)	PUNCT
ejpam-5545	516	8	β	β	PROPN
ejpam-5545	516	9	b	b	X
ejpam-5545	516	10	(	(	PUNCT
ejpam-5545	516	11	i	i	NOUN
ejpam-5545	516	12	)	)	PUNCT
ejpam-5545	517	1	βb	βb	PROPN
ejpam-5545	517	2	(	(	PUNCT
ejpam-5545	517	3	i	i	NOUN
ejpam-5545	517	4	)	)	PUNCT
ejpam-5545	517	5	aβb	aβb	VERB
ejpam-5545	517	6	(	(	PUNCT
ejpam-5545	517	7	i	i	NOUN
ejpam-5545	517	8	)	)	PUNCT
ejpam-5545	517	9	q	q	NOUN
ejpam-5545	518	1	{	{	PUNCT
ejpam-5545	518	2	p1	p1	NOUN
ejpam-5545	518	3	,	,	PUNCT
ejpam-5545	518	4	p2	p2	NOUN
ejpam-5545	518	5	,	,	PUNCT
ejpam-5545	518	6	p5	p5	ADJ
ejpam-5545	518	7	,	,	PUNCT
ejpam-5545	518	8	p6	p6	PROPN
ejpam-5545	518	9	}	}	PUNCT
ejpam-5545	518	10	s−	s−	PROPN
ejpam-5545	518	11	{	{	PUNCT
ejpam-5545	518	12	p4	p4	ADJ
ejpam-5545	518	13	,	,	PUNCT
ejpam-5545	518	14	p8	p8	PROPN
ejpam-5545	518	15	}	}	PUNCT
ejpam-5545	518	16	66	66	NUM
ejpam-5545	518	17	%	%	NOUN
ejpam-5545	518	18	q	q	NOUN
ejpam-5545	518	19	s−	s−	PROPN
ejpam-5545	518	20	{	{	PUNCT
ejpam-5545	518	21	p4	p4	ADJ
ejpam-5545	518	22	}	}	PUNCT
ejpam-5545	518	23	83	83	NUM
ejpam-5545	518	24	%	%	NOUN
ejpam-5545	518	25	w	w	NOUN
ejpam-5545	518	26	{	{	PUNCT
ejpam-5545	518	27	p4	p4	ADJ
ejpam-5545	518	28	,	,	PUNCT
ejpam-5545	518	29	p8	p8	PROPN
ejpam-5545	518	30	}	}	PUNCT
ejpam-5545	518	31	{	{	PUNCT
ejpam-5545	518	32	p3	p3	PROPN
ejpam-5545	518	33	,	,	PUNCT
ejpam-5545	518	34	p4	p4	ADJ
ejpam-5545	518	35	,	,	PUNCT
ejpam-5545	518	36	p7	p7	NOUN
ejpam-5545	518	37	,	,	PUNCT
ejpam-5545	518	38	p8	p8	ADJ
ejpam-5545	518	39	}	}	PUNCT
ejpam-5545	518	40	50	50	NUM
ejpam-5545	518	41	%	%	NOUN
ejpam-5545	518	42	{	{	PUNCT
ejpam-5545	518	43	p4	p4	ADJ
ejpam-5545	518	44	,	,	PUNCT
ejpam-5545	518	45	p8	p8	PROPN
ejpam-5545	518	46	}	}	PUNCT
ejpam-5545	518	47	w	w	PROPN
ejpam-5545	518	48	66	66	NUM
ejpam-5545	518	49	%	%	NOUN
ejpam-5545	518	50	w1	w1	PROPN
ejpam-5545	518	51	φ	φ	PROPN
ejpam-5545	518	52	{	{	PUNCT
ejpam-5545	518	53	p1	p1	PROPN
ejpam-5545	518	54	,	,	PUNCT
ejpam-5545	518	55	p2	p2	AUX
ejpam-5545	518	56	}	}	PUNCT
ejpam-5545	518	57	0	0	NUM
ejpam-5545	518	58	w1	w1	NOUN
ejpam-5545	518	59	w1	w1	NOUN
ejpam-5545	518	60	100	100	NUM
ejpam-5545	518	61	%	%	NOUN
ejpam-5545	518	62	w2	w2	PROPN
ejpam-5545	518	63	φ	φ	PROPN
ejpam-5545	518	64	{	{	PUNCT
ejpam-5545	518	65	p1	p1	PROPN
ejpam-5545	518	66	,	,	PUNCT
ejpam-5545	518	67	p2	p2	AUX
ejpam-5545	518	68	}	}	PUNCT
ejpam-5545	518	69	0	0	NUM
ejpam-5545	518	70	w2	w2	NOUN
ejpam-5545	518	71	w2	w2	NOUN
ejpam-5545	518	72	100	100	NUM
ejpam-5545	518	73	%	%	NOUN
ejpam-5545	518	74	w3	w3	PROPN
ejpam-5545	518	75	{	{	PUNCT
ejpam-5545	518	76	p5	p5	PROPN
ejpam-5545	518	77	,	,	PUNCT
ejpam-5545	518	78	p6	p6	PROPN
ejpam-5545	518	79	}	}	PUNCT
ejpam-5545	518	80	{	{	PUNCT
ejpam-5545	518	81	p3	p3	PROPN
ejpam-5545	518	82	,	,	PUNCT
ejpam-5545	518	83	p5	p5	ADJ
ejpam-5545	518	84	,	,	PUNCT
ejpam-5545	518	85	p7	p7	ADJ
ejpam-5545	518	86	,	,	PUNCT
ejpam-5545	518	87	p8	p8	ADJ
ejpam-5545	518	88	}	}	PUNCT
ejpam-5545	518	89	50	50	NUM
ejpam-5545	518	90	%	%	NOUN
ejpam-5545	518	91	w3	w3	PROPN
ejpam-5545	518	92	w3	w3	PROPN
ejpam-5545	518	93	100	100	NUM
ejpam-5545	518	94	%	%	NOUN
ejpam-5545	518	95	discussions	discussion	NOUN
ejpam-5545	518	96	:	:	PUNCT
ejpam-5545	518	97	upon	upon	SCONJ
ejpam-5545	518	98	reviewing	review	VERB
ejpam-5545	518	99	the	the	DET
ejpam-5545	518	100	data	datum	NOUN
ejpam-5545	518	101	presented	present	VERB
ejpam-5545	518	102	in	in	ADP
ejpam-5545	518	103	table	table	NOUN
ejpam-5545	518	104	8	8	NUM
ejpam-5545	518	105	,	,	PUNCT
ejpam-5545	518	106	several	several	ADJ
ejpam-5545	518	107	significant	significant	ADJ
ejpam-5545	518	108	observations	observation	NOUN
ejpam-5545	518	109	arise	arise	VERB
ejpam-5545	518	110	:	:	PUNCT
ejpam-5545	518	111	•	•	ADP
ejpam-5545	518	112	the	the	DET
ejpam-5545	518	113	results	result	NOUN
ejpam-5545	518	114	generated	generate	VERB
ejpam-5545	518	115	by	by	ADP
ejpam-5545	518	116	the	the	DET
ejpam-5545	518	117	proposed	propose	VERB
ejpam-5545	518	118	method	method	NOUN
ejpam-5545	518	119	(	(	PUNCT
ejpam-5545	518	120	βb	βb	ADJ
ejpam-5545	518	121	-	-	PUNCT
ejpam-5545	518	122	rough	rough	ADJ
ejpam-5545	518	123	sets	set	NOUN
ejpam-5545	518	124	)	)	PUNCT
ejpam-5545	518	125	accurately	accurately	ADV
ejpam-5545	518	126	match	match	VERB
ejpam-5545	518	127	the	the	DET
ejpam-5545	518	128	medical	medical	ADJ
ejpam-5545	518	129	results	result	NOUN
ejpam-5545	518	130	of	of	ADP
ejpam-5545	518	131	the	the	DET
ejpam-5545	518	132	medical	medical	ADJ
ejpam-5545	518	133	decision	decision	NOUN
ejpam-5545	518	134	table	table	NOUN
ejpam-5545	518	135	(	(	PUNCT
ejpam-5545	518	136	table	table	NOUN
ejpam-5545	518	137	5	5	NUM
ejpam-5545	518	138	)	)	PUNCT
ejpam-5545	518	139	,	,	PUNCT
ejpam-5545	518	140	achieving	achieve	VERB
ejpam-5545	518	141	accuracies	accuracy	NOUN
ejpam-5545	518	142	of	of	ADP
ejpam-5545	518	143	up	up	ADP
ejpam-5545	518	144	to	to	PART
ejpam-5545	518	145	100	100	NUM
ejpam-5545	518	146	%	%	NOUN
ejpam-5545	518	147	.	.	PUNCT
ejpam-5545	519	1	•	•	NOUN
ejpam-5545	519	2	the	the	DET
ejpam-5545	519	3	proposed	propose	VERB
ejpam-5545	519	4	methodology	methodology	NOUN
ejpam-5545	519	5	exceeded	exceed	VERB
ejpam-5545	519	6	earlier	early	ADJ
ejpam-5545	519	7	approaches	approach	NOUN
ejpam-5545	519	8	(	(	PUNCT
ejpam-5545	519	9	yao	yao	NOUN
ejpam-5545	520	1	[	[	X
ejpam-5545	520	2	65	65	NUM
ejpam-5545	520	3	]	]	PUNCT
ejpam-5545	520	4	,	,	PUNCT
ejpam-5545	520	5	dai	dai	PROPN
ejpam-5545	520	6	et	et	PROPN
ejpam-5545	520	7	al	al	PROPN
ejpam-5545	520	8	.	.	PUNCT
ejpam-5545	521	1	[	[	X
ejpam-5545	521	2	27	27	NUM
ejpam-5545	521	3	]	]	PUNCT
ejpam-5545	521	4	,	,	PUNCT
ejpam-5545	521	5	and	and	CCONJ
ejpam-5545	521	6	abu	abu	PROPN
ejpam-5545	521	7	-	-	PUNCT
ejpam-5545	521	8	gadairi	gadairi	PROPN
ejpam-5545	521	9	[	[	X
ejpam-5545	521	10	8	8	NUM
ejpam-5545	521	11	]	]	PUNCT
ejpam-5545	521	12	)	)	PUNCT
ejpam-5545	521	13	in	in	ADP
ejpam-5545	521	14	performance	performance	NOUN
ejpam-5545	521	15	.	.	PUNCT
ejpam-5545	522	1	•	•	NUM
ejpam-5545	522	2	previous	previous	ADJ
ejpam-5545	522	3	techniques	technique	NOUN
ejpam-5545	522	4	faced	face	VERB
ejpam-5545	522	5	difficulties	difficulty	NOUN
ejpam-5545	522	6	in	in	ADP
ejpam-5545	522	7	consistently	consistently	ADV
ejpam-5545	522	8	classifying	classify	VERB
ejpam-5545	522	9	covid-19	covid-19	PROPN
ejpam-5545	522	10	infections	infection	NOUN
ejpam-5545	522	11	(	(	PUNCT
ejpam-5545	522	12	resp	resp	NOUN
ejpam-5545	522	13	.	.	PUNCT
ejpam-5545	523	1	variants	variant	NOUN
ejpam-5545	523	2	)	)	PUNCT
ejpam-5545	523	3	,	,	PUNCT
ejpam-5545	523	4	despite	despite	SCONJ
ejpam-5545	523	5	access	access	NOUN
ejpam-5545	523	6	to	to	ADP
ejpam-5545	523	7	pertinent	pertinent	ADJ
ejpam-5545	523	8	information	information	NOUN
ejpam-5545	523	9	from	from	ADP
ejpam-5545	523	10	the	the	DET
ejpam-5545	523	11	decision	decision	NOUN
ejpam-5545	523	12	table	table	NOUN
ejpam-5545	523	13	.	.	PUNCT
ejpam-5545	524	1	•	•	NOUN
ejpam-5545	524	2	our	our	PRON
ejpam-5545	524	3	technique	technique	NOUN
ejpam-5545	524	4	enhances	enhance	VERB
ejpam-5545	524	5	approximation	approximation	NOUN
ejpam-5545	524	6	operators	operator	NOUN
ejpam-5545	524	7	(	(	PUNCT
ejpam-5545	524	8	resp	resp	NOUN
ejpam-5545	524	9	.	.	PUNCT
ejpam-5545	525	1	accuracy	accuracy	NOUN
ejpam-5545	525	2	measures	measure	NOUN
ejpam-5545	525	3	)	)	PUNCT
ejpam-5545	525	4	by	by	ADP
ejpam-5545	525	5	expanding	expand	VERB
ejpam-5545	525	6	pawlak	pawlak	ADJ
ejpam-5545	525	7	’s	’s	PART
ejpam-5545	525	8	concepts	concept	NOUN
ejpam-5545	525	9	to	to	ADP
ejpam-5545	525	10	applied	apply	VERB
ejpam-5545	525	11	situations	situation	NOUN
ejpam-5545	525	12	without	without	ADP
ejpam-5545	525	13	introducing	introduce	VERB
ejpam-5545	525	14	new	new	ADJ
ejpam-5545	525	15	restrictions	restriction	NOUN
ejpam-5545	525	16	.	.	PUNCT
ejpam-5545	526	1	•	•	NOUN
ejpam-5545	526	2	these	these	DET
ejpam-5545	526	3	approaches	approach	NOUN
ejpam-5545	526	4	influence	influence	NOUN
ejpam-5545	526	5	induced	induce	VERB
ejpam-5545	526	6	topological	topological	ADJ
ejpam-5545	526	7	structures	structure	NOUN
ejpam-5545	526	8	,	,	PUNCT
ejpam-5545	526	9	offering	offer	VERB
ejpam-5545	526	10	advantages	advantage	NOUN
ejpam-5545	526	11	in	in	ADP
ejpam-5545	526	12	topological	topological	ADJ
ejpam-5545	526	13	applications	application	NOUN
ejpam-5545	526	14	involving	involve	VERB
ejpam-5545	526	15	rough	rough	ADJ
ejpam-5545	526	16	set	set	NOUN
ejpam-5545	526	17	approaches	approach	NOUN
ejpam-5545	526	18	and	and	CCONJ
ejpam-5545	526	19	their	their	PRON
ejpam-5545	526	20	extensions	extension	NOUN
ejpam-5545	526	21	.	.	PUNCT
ejpam-5545	527	1	designed	design	VERB
ejpam-5545	527	2	for	for	ADP
ejpam-5545	527	3	ease	ease	NOUN
ejpam-5545	527	4	of	of	ADP
ejpam-5545	527	5	use	use	NOUN
ejpam-5545	527	6	,	,	PUNCT
ejpam-5545	527	7	these	these	DET
ejpam-5545	527	8	methods	method	NOUN
ejpam-5545	527	9	are	be	AUX
ejpam-5545	527	10	accessible	accessible	ADJ
ejpam-5545	527	11	to	to	ADP
ejpam-5545	527	12	non	non	ADJ
ejpam-5545	527	13	-	-	ADJ
ejpam-5545	527	14	topology	topology	ADJ
ejpam-5545	527	15	experts	expert	NOUN
ejpam-5545	527	16	.	.	PUNCT
ejpam-5545	528	1	by	by	ADP
ejpam-5545	528	2	presenting	present	VERB
ejpam-5545	528	3	topological	topological	ADJ
ejpam-5545	528	4	approximations	approximation	NOUN
ejpam-5545	528	5	independently	independently	ADV
ejpam-5545	528	6	,	,	PUNCT
ejpam-5545	528	7	we	we	PRON
ejpam-5545	528	8	establish	establish	VERB
ejpam-5545	528	9	rough	rough	ADJ
ejpam-5545	528	10	approximations	approximation	NOUN
ejpam-5545	528	11	(	(	PUNCT
ejpam-5545	528	12	βb	βb	ADJ
ejpam-5545	528	13	-	-	PUNCT
ejpam-5545	528	14	rough	rough	ADJ
ejpam-5545	528	15	sets	set	NOUN
ejpam-5545	528	16	)	)	PUNCT
ejpam-5545	528	17	without	without	ADP
ejpam-5545	528	18	the	the	DET
ejpam-5545	528	19	need	need	NOUN
ejpam-5545	528	20	for	for	ADP
ejpam-5545	528	21	complex	complex	ADJ
ejpam-5545	528	22	concepts	concept	NOUN
ejpam-5545	528	23	.	.	PUNCT
ejpam-5545	529	1	this	this	DET
ejpam-5545	529	2	simplification	simplification	NOUN
ejpam-5545	529	3	aids	aid	VERB
ejpam-5545	529	4	rough	rough	ADJ
ejpam-5545	529	5	set	set	NOUN
ejpam-5545	529	6	philosophies	philosophy	NOUN
ejpam-5545	529	7	,	,	PUNCT
ejpam-5545	529	8	making	make	VERB
ejpam-5545	529	9	them	they	PRON
ejpam-5545	529	10	more	more	ADV
ejpam-5545	529	11	accessible	accessible	ADJ
ejpam-5545	529	12	to	to	ADP
ejpam-5545	529	13	scholars	scholar	NOUN
ejpam-5545	529	14	without	without	ADP
ejpam-5545	529	15	extensive	extensive	ADJ
ejpam-5545	529	16	m.	m.	NOUN
ejpam-5545	529	17	k.	k.	PROPN
ejpam-5545	530	1	el	el	PROPN
ejpam-5545	530	2	-	-	PROPN
ejpam-5545	530	3	bably	bably	PROPN
ejpam-5545	530	4	et	et	PROPN
ejpam-5545	530	5	al	al	PROPN
ejpam-5545	530	6	.	.	PUNCT
ejpam-5545	530	7	/	/	SYM
ejpam-5545	530	8	eur	eur	PROPN
ejpam-5545	530	9	.	.	PUNCT
ejpam-5545	531	1	j.	j.	PROPN
ejpam-5545	531	2	pure	pure	PROPN
ejpam-5545	531	3	appl	appl	PROPN
ejpam-5545	531	4	.	.	PROPN
ejpam-5545	531	5	math	math	PROPN
ejpam-5545	531	6	,	,	PUNCT
ejpam-5545	531	7	17	17	NUM
ejpam-5545	531	8	(	(	PUNCT
ejpam-5545	531	9	4	4	NUM
ejpam-5545	531	10	)	)	PUNCT
ejpam-5545	531	11	(	(	PUNCT
ejpam-5545	531	12	2024	2024	NUM
ejpam-5545	531	13	)	)	PUNCT
ejpam-5545	531	14	,	,	PUNCT
ejpam-5545	531	15	3743	3743	NUM
ejpam-5545	531	16	-	-	SYM
ejpam-5545	531	17	3771	3771	NUM
ejpam-5545	531	18	3762	3762	NUM
ejpam-5545	531	19	backgrounds	background	NOUN
ejpam-5545	531	20	in	in	ADP
ejpam-5545	531	21	topology	topology	NOUN
ejpam-5545	531	22	and	and	CCONJ
ejpam-5545	531	23	enhancing	enhance	VERB
ejpam-5545	531	24	their	their	PRON
ejpam-5545	531	25	practical	practical	ADJ
ejpam-5545	531	26	utility	utility	NOUN
ejpam-5545	531	27	.	.	PUNCT
ejpam-5545	532	1	while	while	SCONJ
ejpam-5545	532	2	topology	topology	NOUN
ejpam-5545	532	3	-	-	PUNCT
ejpam-5545	532	4	based	base	VERB
ejpam-5545	532	5	techniques	technique	NOUN
ejpam-5545	532	6	excel	excel	VERB
ejpam-5545	532	7	in	in	ADP
ejpam-5545	532	8	specific	specific	ADJ
ejpam-5545	532	9	algorithmic	algorithmic	ADJ
ejpam-5545	532	10	expansions	expansion	NOUN
ejpam-5545	532	11	,	,	PUNCT
ejpam-5545	532	12	integrating	integrate	VERB
ejpam-5545	532	13	topological	topological	ADJ
ejpam-5545	532	14	concepts	concept	NOUN
ejpam-5545	532	15	into	into	ADP
ejpam-5545	532	16	specific	specific	ADJ
ejpam-5545	532	17	algorithms	algorithms	NOUN
ejpam-5545	532	18	enhances	enhance	VERB
ejpam-5545	532	19	their	their	PRON
ejpam-5545	532	20	real	real	ADJ
ejpam-5545	532	21	-	-	PUNCT
ejpam-5545	532	22	world	world	NOUN
ejpam-5545	532	23	performance	performance	NOUN
ejpam-5545	532	24	.	.	PUNCT
ejpam-5545	533	1	lastly	lastly	ADV
ejpam-5545	533	2	,	,	PUNCT
ejpam-5545	533	3	we	we	PRON
ejpam-5545	533	4	introduce	introduce	VERB
ejpam-5545	533	5	algorithm	algorithm	NOUN
ejpam-5545	533	6	1	1	NUM
ejpam-5545	533	7	and	and	CCONJ
ejpam-5545	533	8	a	a	DET
ejpam-5545	533	9	flowchart	flowchart	NOUN
ejpam-5545	533	10	(	(	PUNCT
ejpam-5545	533	11	figure	figure	NOUN
ejpam-5545	533	12	1	1	NUM
ejpam-5545	533	13	)	)	PUNCT
ejpam-5545	533	14	outlining	outline	VERB
ejpam-5545	533	15	the	the	DET
ejpam-5545	533	16	use	use	NOUN
ejpam-5545	533	17	of	of	ADP
ejpam-5545	533	18	our	our	PRON
ejpam-5545	533	19	proposed	propose	VERB
ejpam-5545	533	20	techniques	technique	NOUN
ejpam-5545	533	21	(	(	PUNCT
ejpam-5545	533	22	specifically	specifically	ADV
ejpam-5545	533	23	,	,	PUNCT
ejpam-5545	533	24	βb	βb	ADJ
ejpam-5545	533	25	-	-	PUNCT
ejpam-5545	533	26	approximations	approximation	NOUN
ejpam-5545	533	27	)	)	PUNCT
ejpam-5545	533	28	to	to	PART
ejpam-5545	533	29	assist	assist	VERB
ejpam-5545	533	30	in	in	ADP
ejpam-5545	533	31	decision	decision	NOUN
ejpam-5545	533	32	-	-	PUNCT
ejpam-5545	533	33	making	make	VERB
ejpam-5545	533	34	tasks	task	NOUN
ejpam-5545	533	35	.	.	PUNCT
ejpam-5545	534	1	this	this	DET
ejpam-5545	534	2	algorithm	algorithm	NOUN
ejpam-5545	534	3	is	be	AUX
ejpam-5545	534	4	easily	easily	ADV
ejpam-5545	534	5	implementable	implementable	ADJ
ejpam-5545	534	6	using	use	VERB
ejpam-5545	534	7	simple	simple	ADJ
ejpam-5545	534	8	programming	programming	NOUN
ejpam-5545	534	9	languages	language	NOUN
ejpam-5545	534	10	like	like	ADP
ejpam-5545	534	11	matlab	matlab	PROPN
ejpam-5545	534	12	,	,	PUNCT
ejpam-5545	534	13	facilitating	facilitate	VERB
ejpam-5545	534	14	high	high	ADJ
ejpam-5545	534	15	-	-	PUNCT
ejpam-5545	534	16	precision	precision	NOUN
ejpam-5545	534	17	medical	medical	ADJ
ejpam-5545	534	18	diagnosis	diagnosis	NOUN
ejpam-5545	534	19	of	of	ADP
ejpam-5545	534	20	covid-19	covid-19	PROPN
ejpam-5545	534	21	and	and	CCONJ
ejpam-5545	534	22	its	its	PRON
ejpam-5545	534	23	variants	variant	NOUN
ejpam-5545	534	24	.	.	PUNCT
ejpam-5545	535	1	moreover	moreover	ADV
ejpam-5545	535	2	,	,	PUNCT
ejpam-5545	535	3	it	it	PRON
ejpam-5545	535	4	has	have	VERB
ejpam-5545	535	5	versatile	versatile	ADJ
ejpam-5545	535	6	applications	application	NOUN
ejpam-5545	535	7	beyond	beyond	ADP
ejpam-5545	535	8	medical	medical	ADJ
ejpam-5545	535	9	analysis	analysis	NOUN
ejpam-5545	535	10	,	,	PUNCT
ejpam-5545	535	11	extending	extend	VERB
ejpam-5545	535	12	to	to	ADP
ejpam-5545	535	13	domains	domain	NOUN
ejpam-5545	535	14	such	such	ADJ
ejpam-5545	535	15	as	as	ADP
ejpam-5545	535	16	economics	economic	NOUN
ejpam-5545	535	17	and	and	CCONJ
ejpam-5545	535	18	machine	machine	NOUN
ejpam-5545	535	19	learning	learning	NOUN
ejpam-5545	535	20	.	.	PUNCT
ejpam-5545	536	1	algorithm	algorithm	PROPN
ejpam-5545	536	2	1	1	NUM
ejpam-5545	536	3	.	.	PUNCT
ejpam-5545	536	4	framework	framework	NOUN
ejpam-5545	536	5	for	for	ADP
ejpam-5545	536	6	using	use	VERB
ejpam-5545	536	7	βb	βb	ADJ
ejpam-5545	536	8	-	-	PUNCT
ejpam-5545	536	9	approximations	approximation	NOUN
ejpam-5545	536	10	in	in	ADP
ejpam-5545	536	11	decision	decision	NOUN
ejpam-5545	536	12	-	-	PUNCT
ejpam-5545	536	13	making	make	VERB
ejpam-5545	536	14	problems	problem	NOUN
ejpam-5545	536	15	1	1	NUM
ejpam-5545	536	16	.	.	PUNCT
ejpam-5545	537	1	input	input	NOUN
ejpam-5545	537	2	data	data	PROPN
ejpam-5545	537	3	:	:	PUNCT
ejpam-5545	537	4	obtain	obtain	VERB
ejpam-5545	537	5	the	the	DET
ejpam-5545	537	6	dataset	dataset	NOUN
ejpam-5545	537	7	relevant	relevant	ADJ
ejpam-5545	537	8	to	to	ADP
ejpam-5545	537	9	the	the	DET
ejpam-5545	537	10	decision	decision	NOUN
ejpam-5545	537	11	-	-	PUNCT
ejpam-5545	537	12	making	making	NOUN
ejpam-5545	537	13	problem	problem	NOUN
ejpam-5545	537	14	.	.	PUNCT
ejpam-5545	538	1	identify	identify	VERB
ejpam-5545	538	2	the	the	DET
ejpam-5545	538	3	binary	binary	PROPN
ejpam-5545	538	4	relation	relation	PROPN
ejpam-5545	538	5	θ	θ	PROPN
ejpam-5545	538	6	on	on	ADP
ejpam-5545	538	7	the	the	DET
ejpam-5545	538	8	set	set	NOUN
ejpam-5545	538	9	s.	s.	PROPN
ejpam-5545	538	10	2	2	NUM
ejpam-5545	538	11	.	.	PUNCT
ejpam-5545	539	1	compute	compute	NOUN
ejpam-5545	539	2	similarities	similarity	NOUN
ejpam-5545	539	3	:	:	PUNCT
ejpam-5545	539	4	calculate	calculate	VERB
ejpam-5545	539	5	the	the	DET
ejpam-5545	539	6	degrees	degree	NOUN
ejpam-5545	539	7	of	of	ADP
ejpam-5545	539	8	similarity	similarity	NOUN
ejpam-5545	539	9	υ	υ	PROPN
ejpam-5545	539	10	(	(	PUNCT
ejpam-5545	539	11	x	x	PROPN
ejpam-5545	539	12	,	,	PUNCT
ejpam-5545	539	13	y	y	NOUN
ejpam-5545	539	14	)	)	PUNCT
ejpam-5545	539	15	between	between	ADP
ejpam-5545	539	16	attributes	attribute	NOUN
ejpam-5545	539	17	for	for	ADP
ejpam-5545	539	18	each	each	DET
ejpam-5545	539	19	object	object	NOUN
ejpam-5545	539	20	via	via	ADP
ejpam-5545	539	21	the	the	DET
ejpam-5545	539	22	formula	formula	NOUN
ejpam-5545	539	23	:	:	PUNCT
ejpam-5545	539	24	υ	υ	NOUN
ejpam-5545	539	25	(	(	PUNCT
ejpam-5545	539	26	x	x	NOUN
ejpam-5545	539	27	,	,	PUNCT
ejpam-5545	539	28	y	y	NOUN
ejpam-5545	539	29	)	)	PUNCT
ejpam-5545	539	30	=	=	SYM
ejpam-5545	539	31	n∑	n∑	NOUN
ejpam-5545	540	1	ℓ=1	ℓ=1	ADP
ejpam-5545	540	2	[	[	X
ejpam-5545	540	3	aℓ(x	aℓ(x	NOUN
ejpam-5545	540	4	)	)	PUNCT
ejpam-5545	540	5	=	=	SYM
ejpam-5545	540	6	aℓ(y	aℓ(y	NOUN
ejpam-5545	540	7	)	)	PUNCT
ejpam-5545	540	8	]	]	PUNCT
ejpam-5545	540	9	n	n	CCONJ
ejpam-5545	540	10	,	,	PUNCT
ejpam-5545	540	11	where	where	SCONJ
ejpam-5545	540	12	n	n	PRON
ejpam-5545	540	13	is	be	AUX
ejpam-5545	540	14	the	the	DET
ejpam-5545	540	15	number	number	NOUN
ejpam-5545	540	16	of	of	ADP
ejpam-5545	540	17	condition	condition	NOUN
ejpam-5545	540	18	attributes	attribute	VERB
ejpam-5545	540	19	.	.	PUNCT
ejpam-5545	541	1	generate	generate	VERB
ejpam-5545	541	2	a	a	DET
ejpam-5545	541	3	table	table	NOUN
ejpam-5545	541	4	to	to	PART
ejpam-5545	541	5	display	display	VERB
ejpam-5545	541	6	the	the	DET
ejpam-5545	541	7	similarity	similarity	NOUN
ejpam-5545	541	8	measures	measure	NOUN
ejpam-5545	541	9	among	among	ADP
ejpam-5545	541	10	attributes	attribute	NOUN
ejpam-5545	541	11	for	for	ADP
ejpam-5545	541	12	all	all	DET
ejpam-5545	541	13	objects	object	NOUN
ejpam-5545	541	14	.	.	PUNCT
ejpam-5545	542	1	3	3	X
ejpam-5545	542	2	.	.	AUX
ejpam-5545	542	3	establish	establish	VERB
ejpam-5545	542	4	binary	binary	ADJ
ejpam-5545	542	5	relation	relation	NOUN
ejpam-5545	542	6	:	:	PUNCT
ejpam-5545	542	7	define	define	VERB
ejpam-5545	542	8	the	the	DET
ejpam-5545	542	9	binary	binary	PROPN
ejpam-5545	542	10	relation	relation	NOUN
ejpam-5545	542	11	as	as	ADP
ejpam-5545	542	12	(	(	PUNCT
ejpam-5545	542	13	x	x	NOUN
ejpam-5545	542	14	,	,	PUNCT
ejpam-5545	542	15	y	y	NOUN
ejpam-5545	542	16	)	)	PUNCT
ejpam-5545	542	17	∈	∈	PROPN
ejpam-5545	542	18	θ	θ	PROPN
ejpam-5545	542	19	⇔	⇔	X
ejpam-5545	542	20	υ	υ	PROPN
ejpam-5545	542	21	(	(	PUNCT
ejpam-5545	542	22	x	x	PROPN
ejpam-5545	542	23	,	,	PUNCT
ejpam-5545	542	24	y	y	PROPN
ejpam-5545	542	25	)	)	PUNCT
ejpam-5545	542	26	≥	≥	NOUN
ejpam-5545	542	27	e	e	NOUN
ejpam-5545	542	28	,	,	PUNCT
ejpam-5545	542	29	where	where	SCONJ
ejpam-5545	542	30	e	e	NOUN
ejpam-5545	542	31	is	be	AUX
ejpam-5545	542	32	the	the	DET
ejpam-5545	542	33	threshold	threshold	NOUN
ejpam-5545	542	34	degree	degree	NOUN
ejpam-5545	542	35	of	of	ADP
ejpam-5545	542	36	similarity	similarity	NOUN
ejpam-5545	542	37	specified	specify	VERB
ejpam-5545	542	38	by	by	ADP
ejpam-5545	542	39	expert	expert	NOUN
ejpam-5545	542	40	requirements	requirement	NOUN
ejpam-5545	542	41	.	.	PUNCT
ejpam-5545	543	1	4	4	X
ejpam-5545	543	2	.	.	X
ejpam-5545	543	3	calculate	calculate	VERB
ejpam-5545	543	4	βb	βb	ADJ
ejpam-5545	543	5	-	-	PUNCT
ejpam-5545	543	6	approximations	approximation	NOUN
ejpam-5545	543	7	:	:	PUNCT
ejpam-5545	543	8	for	for	ADP
ejpam-5545	543	9	each	each	DET
ejpam-5545	543	10	subset	subset	NOUN
ejpam-5545	543	11	i	i	PRON
ejpam-5545	543	12	⊆	⊆	NUM
ejpam-5545	543	13	s	s	NOUN
ejpam-5545	543	14	,	,	PUNCT
ejpam-5545	543	15	compute	compute	NOUN
ejpam-5545	543	16	:	:	PUNCT
ejpam-5545	543	17	β	β	PROPN
ejpam-5545	543	18	b	b	X
ejpam-5545	543	19	(	(	PUNCT
ejpam-5545	543	20	i	i	NOUN
ejpam-5545	543	21	)	)	PUNCT
ejpam-5545	544	1	=	=	VERB
ejpam-5545	544	2	i	i	PRON
ejpam-5545	544	3	∩	∩	NOUN
ejpam-5545	544	4	ub[lb	ub[lb	PROPN
ejpam-5545	544	5	(	(	PUNCT
ejpam-5545	544	6	ub	ub	X
ejpam-5545	544	7	(	(	PUNCT
ejpam-5545	544	8	i	i	NOUN
ejpam-5545	544	9	)	)	PUNCT
ejpam-5545	544	10	)	)	PUNCT
ejpam-5545	544	11	]	]	PUNCT
ejpam-5545	544	12	;	;	PUNCT
ejpam-5545	544	13	and	and	CCONJ
ejpam-5545	544	14	βb	βb	INTJ
ejpam-5545	544	15	(	(	PUNCT
ejpam-5545	544	16	i	i	NOUN
ejpam-5545	544	17	)	)	PUNCT
ejpam-5545	545	1	=	=	VERB
ejpam-5545	545	2	i	i	PRON
ejpam-5545	545	3	∪	∪	VERB
ejpam-5545	545	4	lb[ub	lb[ub	X
ejpam-5545	545	5	(	(	PUNCT
ejpam-5545	545	6	lb	lb	X
ejpam-5545	545	7	(	(	PUNCT
ejpam-5545	545	8	i	i	NOUN
ejpam-5545	545	9	)	)	PUNCT
ejpam-5545	545	10	)	)	PUNCT
ejpam-5545	545	11	]	]	PUNCT
ejpam-5545	545	12	.	.	PUNCT
ejpam-5545	546	1	5	5	X
ejpam-5545	546	2	.	.	X
ejpam-5545	546	3	apply	apply	VERB
ejpam-5545	546	4	decision	decision	NOUN
ejpam-5545	546	5	-	-	PUNCT
ejpam-5545	546	6	making	make	VERB
ejpam-5545	546	7	criteria	criterion	NOUN
ejpam-5545	546	8	:	:	PUNCT
ejpam-5545	546	9	utilize	utilize	VERB
ejpam-5545	546	10	βb	βb	ADJ
ejpam-5545	546	11	-	-	PUNCT
ejpam-5545	546	12	approximations	approximation	NOUN
ejpam-5545	546	13	to	to	PART
ejpam-5545	546	14	classify	classify	VERB
ejpam-5545	546	15	or	or	CCONJ
ejpam-5545	546	16	make	make	VERB
ejpam-5545	546	17	decisions	decision	NOUN
ejpam-5545	546	18	based	base	VERB
ejpam-5545	546	19	on	on	ADP
ejpam-5545	546	20	the	the	DET
ejpam-5545	546	21	problem	problem	NOUN
ejpam-5545	546	22	requirements	requirement	NOUN
ejpam-5545	546	23	using	use	VERB
ejpam-5545	546	24	definition	definition	NOUN
ejpam-5545	546	25	6	6	NUM
ejpam-5545	546	26	and	and	CCONJ
ejpam-5545	546	27	flowchart	flowchart	NOUN
ejpam-5545	546	28	(	(	PUNCT
ejpam-5545	546	29	figure	figure	NOUN
ejpam-5545	546	30	1	1	NUM
ejpam-5545	546	31	)	)	PUNCT
ejpam-5545	546	32	.	.	PUNCT
ejpam-5545	547	1	6	6	X
ejpam-5545	547	2	.	.	X
ejpam-5545	547	3	decision	decision	NOUN
ejpam-5545	547	4	outcome	outcome	NOUN
ejpam-5545	547	5	:	:	PUNCT
ejpam-5545	547	6	generate	generate	VERB
ejpam-5545	547	7	and	and	CCONJ
ejpam-5545	547	8	analyze	analyze	VERB
ejpam-5545	547	9	the	the	DET
ejpam-5545	547	10	decision	decision	NOUN
ejpam-5545	547	11	outcomes	outcome	NOUN
ejpam-5545	547	12	.	.	PUNCT
ejpam-5545	548	1	compare	compare	VERB
ejpam-5545	548	2	with	with	ADP
ejpam-5545	548	3	known	know	VERB
ejpam-5545	548	4	benchmarks	benchmark	NOUN
ejpam-5545	548	5	or	or	CCONJ
ejpam-5545	548	6	criteria	criterion	NOUN
ejpam-5545	548	7	to	to	PART
ejpam-5545	548	8	validate	validate	VERB
ejpam-5545	548	9	accuracy	accuracy	NOUN
ejpam-5545	548	10	.	.	PUNCT
ejpam-5545	549	1	m.	m.	NOUN
ejpam-5545	549	2	k.	k.	PROPN
ejpam-5545	550	1	el	el	PROPN
ejpam-5545	550	2	-	-	PROPN
ejpam-5545	550	3	bably	bably	PROPN
ejpam-5545	550	4	et	et	PROPN
ejpam-5545	550	5	al	al	PROPN
ejpam-5545	550	6	.	.	PUNCT
ejpam-5545	550	7	/	/	SYM
ejpam-5545	550	8	eur	eur	PROPN
ejpam-5545	550	9	.	.	PUNCT
ejpam-5545	551	1	j.	j.	PROPN
ejpam-5545	551	2	pure	pure	PROPN
ejpam-5545	551	3	appl	appl	PROPN
ejpam-5545	551	4	.	.	PROPN
ejpam-5545	551	5	math	math	PROPN
ejpam-5545	551	6	,	,	PUNCT
ejpam-5545	551	7	17	17	NUM
ejpam-5545	551	8	(	(	PUNCT
ejpam-5545	551	9	4	4	NUM
ejpam-5545	551	10	)	)	PUNCT
ejpam-5545	551	11	(	(	PUNCT
ejpam-5545	551	12	2024	2024	NUM
ejpam-5545	551	13	)	)	PUNCT
ejpam-5545	551	14	,	,	PUNCT
ejpam-5545	551	15	3743	3743	NUM
ejpam-5545	551	16	-	-	SYM
ejpam-5545	551	17	3771	3771	NUM
ejpam-5545	551	18	3763	3763	NUM
ejpam-5545	551	19	7	7	NUM
ejpam-5545	551	20	.	.	PUNCT
ejpam-5545	551	21	adjust	adjust	VERB
ejpam-5545	551	22	parameters	parameter	NOUN
ejpam-5545	551	23	(	(	PUNCT
ejpam-5545	551	24	if	if	SCONJ
ejpam-5545	551	25	necessary	necessary	ADJ
ejpam-5545	551	26	):	):	PUNCT
ejpam-5545	551	27	refine	refine	VERB
ejpam-5545	551	28	the	the	DET
ejpam-5545	551	29	binary	binary	PROPN
ejpam-5545	551	30	relation	relation	PROPN
ejpam-5545	551	31	θ	θ	PROPN
ejpam-5545	551	32	on	on	ADP
ejpam-5545	551	33	the	the	DET
ejpam-5545	551	34	set	set	NOUN
ejpam-5545	551	35	s	s	VERB
ejpam-5545	551	36	based	base	VERB
ejpam-5545	551	37	on	on	ADP
ejpam-5545	551	38	decision	decision	NOUN
ejpam-5545	551	39	outcomes	outcome	NOUN
ejpam-5545	551	40	and	and	CCONJ
ejpam-5545	551	41	repeat	repeat	VERB
ejpam-5545	551	42	the	the	DET
ejpam-5545	551	43	process	process	NOUN
ejpam-5545	551	44	.	.	PUNCT
ejpam-5545	552	1	8	8	X
ejpam-5545	552	2	.	.	X
ejpam-5545	553	1	output	output	NOUN
ejpam-5545	553	2	results	result	NOUN
ejpam-5545	553	3	:	:	PUNCT
ejpam-5545	553	4	present	present	VERB
ejpam-5545	553	5	the	the	DET
ejpam-5545	553	6	results	result	NOUN
ejpam-5545	553	7	and	and	CCONJ
ejpam-5545	553	8	insights	insight	NOUN
ejpam-5545	553	9	derived	derive	VERB
ejpam-5545	553	10	from	from	ADP
ejpam-5545	553	11	the	the	DET
ejpam-5545	553	12	βb	βb	ADJ
ejpam-5545	553	13	-	-	PUNCT
ejpam-5545	553	14	approximations	approximation	NOUN
ejpam-5545	553	15	in	in	ADP
ejpam-5545	553	16	the	the	DET
ejpam-5545	553	17	context	context	NOUN
ejpam-5545	553	18	of	of	ADP
ejpam-5545	553	19	the	the	DET
ejpam-5545	553	20	decision	decision	NOUN
ejpam-5545	553	21	-	-	PUNCT
ejpam-5545	553	22	making	make	VERB
ejpam-5545	553	23	problem	problem	NOUN
ejpam-5545	553	24	.	.	PUNCT
ejpam-5545	554	1	the	the	DET
ejpam-5545	554	2	subsequent	subsequent	ADJ
ejpam-5545	554	3	figure	figure	NOUN
ejpam-5545	554	4	(	(	PUNCT
ejpam-5545	554	5	figure	figure	NOUN
ejpam-5545	554	6	1	1	NUM
ejpam-5545	554	7	)	)	PUNCT
ejpam-5545	554	8	characterizes	characterize	VERB
ejpam-5545	554	9	a	a	DET
ejpam-5545	554	10	simple	simple	ADJ
ejpam-5545	554	11	flowchart	flowchart	NOUN
ejpam-5545	554	12	of	of	ADP
ejpam-5545	554	13	the	the	DET
ejpam-5545	554	14	accuracy	accuracy	NOUN
ejpam-5545	554	15	measures	measure	NOUN
ejpam-5545	554	16	induced	induce	VERB
ejpam-5545	554	17	from	from	ADP
ejpam-5545	554	18	the	the	DET
ejpam-5545	554	19	above	above	ADJ
ejpam-5545	554	20	algorithm	algorithm	NOUN
ejpam-5545	554	21	.	.	PUNCT
ejpam-5545	555	1	m.	m.	NOUN
ejpam-5545	555	2	k.	k.	PROPN
ejpam-5545	556	1	el	el	PROPN
ejpam-5545	556	2	-	-	PROPN
ejpam-5545	556	3	bably	bably	PROPN
ejpam-5545	556	4	et	et	PROPN
ejpam-5545	556	5	al	al	PROPN
ejpam-5545	556	6	.	.	PUNCT
ejpam-5545	556	7	/	/	SYM
ejpam-5545	556	8	eur	eur	PROPN
ejpam-5545	556	9	.	.	PUNCT
ejpam-5545	557	1	j.	j.	PROPN
ejpam-5545	557	2	pure	pure	PROPN
ejpam-5545	557	3	appl	appl	PROPN
ejpam-5545	557	4	.	.	PROPN
ejpam-5545	557	5	math	math	PROPN
ejpam-5545	557	6	,	,	PUNCT
ejpam-5545	557	7	17	17	NUM
ejpam-5545	557	8	(	(	PUNCT
ejpam-5545	557	9	4	4	NUM
ejpam-5545	557	10	)	)	PUNCT
ejpam-5545	557	11	(	(	PUNCT
ejpam-5545	557	12	2024	2024	NUM
ejpam-5545	557	13	)	)	PUNCT
ejpam-5545	557	14	,	,	PUNCT
ejpam-5545	557	15	3743	3743	NUM
ejpam-5545	557	16	-	-	SYM
ejpam-5545	557	17	3771	3771	NUM
ejpam-5545	557	18	3764	3764	NUM
ejpam-5545	557	19	figure	figure	NOUN
ejpam-5545	557	20	1	1	NUM
ejpam-5545	557	21	:	:	PUNCT
ejpam-5545	557	22	flowchart	flowchart	NOUN
ejpam-5545	557	23	to	to	PART
ejpam-5545	557	24	use	use	VERB
ejpam-5545	557	25	βb	βb	ADJ
ejpam-5545	557	26	-	-	PUNCT
ejpam-5545	557	27	approximations	approximation	NOUN
ejpam-5545	557	28	in	in	ADP
ejpam-5545	557	29	decision	decision	NOUN
ejpam-5545	557	30	-	-	PUNCT
ejpam-5545	557	31	making	make	VERB
ejpam-5545	557	32	problems	problem	NOUN
ejpam-5545	557	33	.	.	PUNCT
ejpam-5545	558	1	6	6	X
ejpam-5545	558	2	.	.	X
ejpam-5545	558	3	conclusions	conclusion	NOUN
ejpam-5545	558	4	and	and	CCONJ
ejpam-5545	558	5	future	future	ADJ
ejpam-5545	558	6	works	work	NOUN
ejpam-5545	558	7	this	this	DET
ejpam-5545	558	8	manuscript	manuscript	NOUN
ejpam-5545	558	9	introduces	introduce	NOUN
ejpam-5545	558	10	and	and	CCONJ
ejpam-5545	558	11	explores	explore	VERB
ejpam-5545	558	12	different	different	ADJ
ejpam-5545	558	13	generalizations	generalization	NOUN
ejpam-5545	558	14	of	of	ADP
ejpam-5545	558	15	rough	rough	ADJ
ejpam-5545	558	16	sets	set	NOUN
ejpam-5545	558	17	known	know	VERB
ejpam-5545	558	18	as	as	ADP
ejpam-5545	558	19	β	β	NOUN
ejpam-5545	558	20	-	-	ADJ
ejpam-5545	558	21	basic	basic	ADJ
ejpam-5545	558	22	approximations	approximation	NOUN
ejpam-5545	558	23	(	(	PUNCT
ejpam-5545	558	24	or	or	CCONJ
ejpam-5545	558	25	βb	βb	ADJ
ejpam-5545	558	26	-	-	PUNCT
ejpam-5545	558	27	approximations	approximation	NOUN
ejpam-5545	558	28	)	)	PUNCT
ejpam-5545	558	29	,	,	PUNCT
ejpam-5545	558	30	utilizing	utilize	VERB
ejpam-5545	558	31	topological	topological	ADJ
ejpam-5545	558	32	ideas	idea	NOUN
ejpam-5545	558	33	.	.	PUNCT
ejpam-5545	559	1	these	these	DET
ejpam-5545	559	2	m.	m.	NOUN
ejpam-5545	559	3	k.	k.	PROPN
ejpam-5545	560	1	el	el	PROPN
ejpam-5545	560	2	-	-	PROPN
ejpam-5545	560	3	bably	bably	PROPN
ejpam-5545	560	4	et	et	PROPN
ejpam-5545	560	5	al	al	PROPN
ejpam-5545	560	6	.	.	PUNCT
ejpam-5545	560	7	/	/	SYM
ejpam-5545	560	8	eur	eur	PROPN
ejpam-5545	560	9	.	.	PUNCT
ejpam-5545	561	1	j.	j.	PROPN
ejpam-5545	561	2	pure	pure	PROPN
ejpam-5545	561	3	appl	appl	PROPN
ejpam-5545	561	4	.	.	PROPN
ejpam-5545	561	5	math	math	PROPN
ejpam-5545	561	6	,	,	PUNCT
ejpam-5545	561	7	17	17	NUM
ejpam-5545	561	8	(	(	PUNCT
ejpam-5545	561	9	4	4	NUM
ejpam-5545	561	10	)	)	PUNCT
ejpam-5545	561	11	(	(	PUNCT
ejpam-5545	561	12	2024	2024	NUM
ejpam-5545	561	13	)	)	PUNCT
ejpam-5545	561	14	,	,	PUNCT
ejpam-5545	561	15	3743	3743	NUM
ejpam-5545	561	16	-	-	SYM
ejpam-5545	561	17	3771	3771	NUM
ejpam-5545	561	18	3765	3765	NUM
ejpam-5545	561	19	methods	method	NOUN
ejpam-5545	561	20	are	be	AUX
ejpam-5545	561	21	derived	derive	VERB
ejpam-5545	561	22	directly	directly	ADV
ejpam-5545	561	23	from	from	ADP
ejpam-5545	561	24	neighbors	neighbor	NOUN
ejpam-5545	561	25	and	and	CCONJ
ejpam-5545	561	26	do	do	AUX
ejpam-5545	561	27	not	not	PART
ejpam-5545	561	28	require	require	VERB
ejpam-5545	561	29	advanced	advanced	ADJ
ejpam-5545	561	30	topology	topology	NOUN
ejpam-5545	561	31	,	,	PUNCT
ejpam-5545	561	32	making	make	VERB
ejpam-5545	561	33	them	they	PRON
ejpam-5545	561	34	accessible	accessible	ADJ
ejpam-5545	561	35	to	to	ADP
ejpam-5545	561	36	non	non	NOUN
ejpam-5545	561	37	-	-	NOUN
ejpam-5545	561	38	specialists	specialist	NOUN
ejpam-5545	561	39	.	.	PUNCT
ejpam-5545	562	1	we	we	PRON
ejpam-5545	562	2	present	present	VERB
ejpam-5545	562	3	five	five	NUM
ejpam-5545	562	4	distinct	distinct	ADJ
ejpam-5545	562	5	initial	initial	ADJ
ejpam-5545	562	6	approximations	approximation	NOUN
ejpam-5545	562	7	that	that	PRON
ejpam-5545	562	8	extend	extend	VERB
ejpam-5545	562	9	pawlak	pawlak	ADJ
ejpam-5545	562	10	’s	’s	PART
ejpam-5545	562	11	theory	theory	NOUN
ejpam-5545	562	12	and	and	CCONJ
ejpam-5545	562	13	its	its	PRON
ejpam-5545	562	14	extensions	extension	NOUN
ejpam-5545	562	15	.	.	PUNCT
ejpam-5545	563	1	these	these	DET
ejpam-5545	563	2	methods	method	NOUN
ejpam-5545	563	3	significantly	significantly	ADV
ejpam-5545	563	4	improve	improve	VERB
ejpam-5545	563	5	approximation	approximation	NOUN
ejpam-5545	563	6	operators	operator	NOUN
ejpam-5545	563	7	(	(	PUNCT
ejpam-5545	563	8	representing	represent	VERB
ejpam-5545	563	9	accuracy	accuracy	NOUN
ejpam-5545	563	10	measures	measure	NOUN
ejpam-5545	563	11	)	)	PUNCT
ejpam-5545	563	12	for	for	ADP
ejpam-5545	563	13	any	any	DET
ejpam-5545	563	14	binary	binary	PROPN
ejpam-5545	563	15	relation	relation	NOUN
ejpam-5545	563	16	,	,	PUNCT
ejpam-5545	563	17	surpassing	surpass	VERB
ejpam-5545	563	18	previous	previous	ADJ
ejpam-5545	563	19	approaches	approach	NOUN
ejpam-5545	563	20	.	.	PUNCT
ejpam-5545	564	1	furthermore	furthermore	ADV
ejpam-5545	564	2	,	,	PUNCT
ejpam-5545	564	3	they	they	PRON
ejpam-5545	564	4	preserve	preserve	VERB
ejpam-5545	564	5	pawlak	pawlak	ADJ
ejpam-5545	564	6	’s	’s	PART
ejpam-5545	564	7	concepts	concept	NOUN
ejpam-5545	564	8	without	without	ADP
ejpam-5545	564	9	additional	additional	ADJ
ejpam-5545	564	10	requirements	requirement	NOUN
ejpam-5545	564	11	(	(	PUNCT
ejpam-5545	564	12	see	see	VERB
ejpam-5545	564	13	proposition	proposition	NOUN
ejpam-5545	564	14	1	1	NUM
ejpam-5545	564	15	)	)	PUNCT
ejpam-5545	564	16	,	,	PUNCT
ejpam-5545	564	17	thereby	thereby	ADV
ejpam-5545	564	18	enhancing	enhance	VERB
ejpam-5545	564	19	their	their	PRON
ejpam-5545	564	20	applicability	applicability	NOUN
ejpam-5545	564	21	to	to	ADP
ejpam-5545	564	22	various	various	ADJ
ejpam-5545	564	23	realworld	realworld	PROPN
ejpam-5545	564	24	problems	problem	NOUN
ejpam-5545	564	25	.	.	PUNCT
ejpam-5545	565	1	comparative	comparative	ADJ
ejpam-5545	565	2	analyses	analysis	NOUN
ejpam-5545	565	3	with	with	ADP
ejpam-5545	565	4	previous	previous	ADJ
ejpam-5545	565	5	methods	method	NOUN
ejpam-5545	565	6	(	(	PUNCT
ejpam-5545	565	7	yao	yao	NOUN
ejpam-5545	566	1	[	[	X
ejpam-5545	566	2	65	65	NUM
ejpam-5545	566	3	]	]	PUNCT
ejpam-5545	566	4	,	,	PUNCT
ejpam-5545	566	5	dai	dai	PROPN
ejpam-5545	566	6	et	et	PROPN
ejpam-5545	566	7	al	al	PROPN
ejpam-5545	566	8	.	.	PUNCT
ejpam-5545	567	1	[	[	X
ejpam-5545	567	2	27	27	NUM
ejpam-5545	567	3	]	]	PUNCT
ejpam-5545	567	4	,	,	PUNCT
ejpam-5545	567	5	abd	abd	PROPN
ejpam-5545	567	6	el	el	PROPN
ejpam-5545	567	7	-	-	PROPN
ejpam-5545	567	8	monsef	monsef	PROPN
ejpam-5545	567	9	et	et	PROPN
ejpam-5545	567	10	al	al	PROPN
ejpam-5545	567	11	.	.	PUNCT
ejpam-5545	568	1	[	[	X
ejpam-5545	568	2	40	40	NUM
ejpam-5545	568	3	]	]	PUNCT
ejpam-5545	568	4	,	,	PUNCT
ejpam-5545	568	5	and	and	CCONJ
ejpam-5545	568	6	abu	abu	PROPN
ejpam-5545	568	7	-	-	PUNCT
ejpam-5545	568	8	gadairi	gadairi	PROPN
ejpam-5545	569	1	[	[	X
ejpam-5545	569	2	8	8	NUM
ejpam-5545	569	3	]	]	PUNCT
ejpam-5545	569	4	)	)	PUNCT
ejpam-5545	569	5	show	show	VERB
ejpam-5545	569	6	that	that	SCONJ
ejpam-5545	569	7	our	our	PRON
ejpam-5545	569	8	proposed	propose	VERB
ejpam-5545	569	9	methods	method	NOUN
ejpam-5545	569	10	are	be	AUX
ejpam-5545	569	11	more	more	ADV
ejpam-5545	569	12	accurate	accurate	ADJ
ejpam-5545	569	13	,	,	PUNCT
ejpam-5545	569	14	as	as	SCONJ
ejpam-5545	569	15	demonstrated	demonstrate	VERB
ejpam-5545	569	16	by	by	ADP
ejpam-5545	569	17	established	establish	VERB
ejpam-5545	569	18	results	result	NOUN
ejpam-5545	569	19	(	(	PUNCT
ejpam-5545	569	20	theorems	theorem	NOUN
ejpam-5545	569	21	2	2	NUM
ejpam-5545	569	22	,	,	PUNCT
ejpam-5545	569	23	3	3	NUM
ejpam-5545	569	24	,	,	PUNCT
ejpam-5545	569	25	4	4	NUM
ejpam-5545	569	26	,	,	PUNCT
ejpam-5545	569	27	5	5	NUM
ejpam-5545	569	28	,	,	PUNCT
ejpam-5545	569	29	6	6	NUM
ejpam-5545	569	30	,	,	PUNCT
ejpam-5545	569	31	and	and	CCONJ
ejpam-5545	569	32	their	their	PRON
ejpam-5545	569	33	corollaries	corollary	NOUN
ejpam-5545	569	34	)	)	PUNCT
ejpam-5545	569	35	and	and	CCONJ
ejpam-5545	569	36	explanatory	explanatory	ADJ
ejpam-5545	569	37	examples	example	NOUN
ejpam-5545	569	38	.	.	PUNCT
ejpam-5545	570	1	as	as	ADP
ejpam-5545	570	2	a	a	DET
ejpam-5545	570	3	result	result	NOUN
ejpam-5545	570	4	,	,	PUNCT
ejpam-5545	570	5	these	these	DET
ejpam-5545	570	6	approaches	approach	NOUN
ejpam-5545	570	7	are	be	AUX
ejpam-5545	570	8	particularly	particularly	ADV
ejpam-5545	570	9	successful	successful	ADJ
ejpam-5545	570	10	in	in	ADP
ejpam-5545	570	11	demonstrating	demonstrate	VERB
ejpam-5545	570	12	roughness	roughness	NOUN
ejpam-5545	570	13	and	and	CCONJ
ejpam-5545	570	14	exactness	exactness	NOUN
ejpam-5545	570	15	.	.	PUNCT
ejpam-5545	571	1	advantages	advantage	NOUN
ejpam-5545	571	2	of	of	ADP
ejpam-5545	571	3	the	the	DET
ejpam-5545	571	4	proposed	propose	VERB
ejpam-5545	571	5	approaches	approach	NOUN
ejpam-5545	571	6	:	:	PUNCT
ejpam-5545	571	7	•	•	NUM
ejpam-5545	571	8	supple	supple	ADJ
ejpam-5545	571	9	modeling	modeling	NOUN
ejpam-5545	571	10	:	:	PUNCT
ejpam-5545	571	11	our	our	PRON
ejpam-5545	571	12	methods	method	NOUN
ejpam-5545	571	13	provide	provide	VERB
ejpam-5545	571	14	greater	great	ADJ
ejpam-5545	571	15	flexibility	flexibility	NOUN
ejpam-5545	571	16	in	in	ADP
ejpam-5545	571	17	modeling	model	VERB
ejpam-5545	571	18	several	several	ADJ
ejpam-5545	571	19	challenges	challenge	NOUN
ejpam-5545	571	20	by	by	ADP
ejpam-5545	571	21	reducing	reduce	VERB
ejpam-5545	571	22	preliminary	preliminary	ADJ
ejpam-5545	571	23	restrictions	restriction	NOUN
ejpam-5545	571	24	,	,	PUNCT
ejpam-5545	571	25	thereby	thereby	ADV
ejpam-5545	571	26	enhancing	enhance	VERB
ejpam-5545	571	27	our	our	PRON
ejpam-5545	571	28	ability	ability	NOUN
ejpam-5545	571	29	to	to	PART
ejpam-5545	571	30	represent	represent	VERB
ejpam-5545	571	31	real	real	ADJ
ejpam-5545	571	32	-	-	PUNCT
ejpam-5545	571	33	world	world	NOUN
ejpam-5545	571	34	complexities	complexity	NOUN
ejpam-5545	571	35	,	,	PUNCT
ejpam-5545	571	36	especially	especially	ADV
ejpam-5545	571	37	with	with	ADP
ejpam-5545	571	38	large	large	ADJ
ejpam-5545	571	39	datasets	dataset	NOUN
ejpam-5545	571	40	.	.	PUNCT
ejpam-5545	572	1	•	•	NUM
ejpam-5545	572	2	easy	easy	ADJ
ejpam-5545	572	3	application	application	NOUN
ejpam-5545	572	4	:	:	PUNCT
ejpam-5545	572	5	using	use	VERB
ejpam-5545	572	6	basic	basic	ADJ
ejpam-5545	572	7	neighborhoods	neighborhood	NOUN
ejpam-5545	572	8	to	to	PART
ejpam-5545	572	9	define	define	VERB
ejpam-5545	572	10	βb	βb	ADJ
ejpam-5545	572	11	-	-	PUNCT
ejpam-5545	572	12	approximations	approximation	NOUN
ejpam-5545	572	13	instead	instead	ADV
ejpam-5545	572	14	of	of	ADP
ejpam-5545	572	15	topologies	topology	NOUN
ejpam-5545	572	16	simplifies	simplifie	NOUN
ejpam-5545	572	17	abu	abu	PROPN
ejpam-5545	572	18	-	-	PUNCT
ejpam-5545	572	19	gadairi	gadairi	PROPN
ejpam-5545	572	20	’s	’s	PART
ejpam-5545	572	21	technique	technique	NOUN
ejpam-5545	572	22	for	for	ADP
ejpam-5545	572	23	large	large	ADJ
ejpam-5545	572	24	datasets	dataset	NOUN
ejpam-5545	572	25	.	.	PUNCT
ejpam-5545	573	1	this	this	DET
ejpam-5545	573	2	version	version	NOUN
ejpam-5545	573	3	,	,	PUNCT
ejpam-5545	573	4	demonstrated	demonstrate	VERB
ejpam-5545	573	5	in	in	ADP
ejpam-5545	573	6	medical	medical	ADJ
ejpam-5545	573	7	applications	application	NOUN
ejpam-5545	573	8	concerning	concern	VERB
ejpam-5545	573	9	eight	eight	NUM
ejpam-5545	573	10	patients	patient	NOUN
ejpam-5545	573	11	,	,	PUNCT
ejpam-5545	573	12	facilitates	facilitate	VERB
ejpam-5545	573	13	usage	usage	NOUN
ejpam-5545	573	14	for	for	ADP
ejpam-5545	573	15	non	non	ADJ
ejpam-5545	573	16	-	-	ADJ
ejpam-5545	573	17	topology	topology	ADJ
ejpam-5545	573	18	professionals	professional	NOUN
ejpam-5545	573	19	.	.	PUNCT
ejpam-5545	574	1	•	•	NUM
ejpam-5545	574	2	enhanced	enhance	VERB
ejpam-5545	574	3	accuracy	accuracy	NOUN
ejpam-5545	574	4	:	:	PUNCT
ejpam-5545	574	5	our	our	PRON
ejpam-5545	574	6	methodology	methodology	NOUN
ejpam-5545	574	7	improves	improve	VERB
ejpam-5545	574	8	accuracy	accuracy	NOUN
ejpam-5545	574	9	,	,	PUNCT
ejpam-5545	574	10	enabling	enable	VERB
ejpam-5545	574	11	more	more	ADV
ejpam-5545	574	12	precise	precise	ADJ
ejpam-5545	574	13	decisions	decision	NOUN
ejpam-5545	574	14	in	in	ADP
ejpam-5545	574	15	practical	practical	ADJ
ejpam-5545	574	16	settings	setting	NOUN
ejpam-5545	574	17	such	such	ADJ
ejpam-5545	574	18	as	as	ADP
ejpam-5545	574	19	medical	medical	ADJ
ejpam-5545	574	20	diagnosis	diagnosis	NOUN
ejpam-5545	574	21	(	(	PUNCT
ejpam-5545	574	22	e.g.	e.g.	ADV
ejpam-5545	574	23	,	,	PUNCT
ejpam-5545	574	24	covid-19	covid-19	PROPN
ejpam-5545	574	25	variants	variant	NOUN
ejpam-5545	574	26	,	,	PUNCT
ejpam-5545	574	27	machine	machine	NOUN
ejpam-5545	574	28	learning	learning	NOUN
ejpam-5545	574	29	applications	application	NOUN
ejpam-5545	574	30	,	,	PUNCT
ejpam-5545	574	31	decision	decision	NOUN
ejpam-5545	574	32	-	-	PUNCT
ejpam-5545	574	33	making	make	VERB
ejpam-5545	574	34	challenges	challenge	NOUN
ejpam-5545	574	35	)	)	PUNCT
ejpam-5545	574	36	.	.	PUNCT
ejpam-5545	575	1	furthermore	furthermore	ADV
ejpam-5545	575	2	,	,	PUNCT
ejpam-5545	575	3	it	it	PRON
ejpam-5545	575	4	achieved	achieve	VERB
ejpam-5545	575	5	up	up	ADP
ejpam-5545	575	6	to	to	PART
ejpam-5545	575	7	100	100	NUM
ejpam-5545	575	8	%	%	NOUN
ejpam-5545	575	9	accuracy	accuracy	NOUN
ejpam-5545	575	10	in	in	ADP
ejpam-5545	575	11	diagnosing	diagnose	VERB
ejpam-5545	575	12	covid-19	covid-19	PROPN
ejpam-5545	575	13	variants	variant	NOUN
ejpam-5545	575	14	related	relate	VERB
ejpam-5545	575	15	to	to	ADP
ejpam-5545	575	16	clinical	clinical	ADJ
ejpam-5545	575	17	data	datum	NOUN
ejpam-5545	575	18	in	in	ADP
ejpam-5545	575	19	a	a	DET
ejpam-5545	575	20	medical	medical	ADJ
ejpam-5545	575	21	decision	decision	NOUN
ejpam-5545	575	22	table	table	NOUN
ejpam-5545	575	23	(	(	PUNCT
ejpam-5545	575	24	table	table	NOUN
ejpam-5545	575	25	5	5	NUM
ejpam-5545	575	26	)	)	PUNCT
ejpam-5545	575	27	,	,	PUNCT
ejpam-5545	575	28	surpassing	surpass	VERB
ejpam-5545	575	29	previous	previous	ADJ
ejpam-5545	575	30	research	research	NOUN
ejpam-5545	575	31	.	.	PUNCT
ejpam-5545	576	1	•	•	NUM
ejpam-5545	576	2	algorithm	algorithm	NOUN
ejpam-5545	576	3	execution	execution	NOUN
ejpam-5545	576	4	:	:	PUNCT
ejpam-5545	576	5	using	use	VERB
ejpam-5545	576	6	a	a	DET
ejpam-5545	576	7	flowchart	flowchart	NOUN
ejpam-5545	576	8	and	and	CCONJ
ejpam-5545	576	9	simulated	simulated	ADJ
ejpam-5545	576	10	data	datum	NOUN
ejpam-5545	576	11	,	,	PUNCT
ejpam-5545	576	12	our	our	PRON
ejpam-5545	576	13	algorithm	algorithm	NOUN
ejpam-5545	576	14	offers	offer	VERB
ejpam-5545	576	15	a	a	DET
ejpam-5545	576	16	user	user	NOUN
ejpam-5545	576	17	-	-	PUNCT
ejpam-5545	576	18	friendly	friendly	ADJ
ejpam-5545	576	19	approach	approach	NOUN
ejpam-5545	576	20	in	in	ADP
ejpam-5545	576	21	matlab	matlab	PROPN
ejpam-5545	576	22	that	that	PRON
ejpam-5545	576	23	outperforms	outperform	VERB
ejpam-5545	576	24	existing	exist	VERB
ejpam-5545	576	25	methodologies	methodology	NOUN
ejpam-5545	576	26	.	.	PUNCT
ejpam-5545	577	1	future	future	ADJ
ejpam-5545	577	2	works	work	NOUN
ejpam-5545	577	3	:	:	PUNCT
ejpam-5545	577	4	future	future	ADJ
ejpam-5545	577	5	studies	study	NOUN
ejpam-5545	577	6	involve	involve	VERB
ejpam-5545	577	7	extending	extend	VERB
ejpam-5545	577	8	the	the	DET
ejpam-5545	577	9	presented	present	VERB
ejpam-5545	577	10	approaches	approach	NOUN
ejpam-5545	577	11	(	(	PUNCT
ejpam-5545	577	12	βb	βb	ADJ
ejpam-5545	577	13	-	-	PUNCT
ejpam-5545	577	14	rough	rough	ADJ
ejpam-5545	577	15	sets	set	NOUN
ejpam-5545	577	16	)	)	PUNCT
ejpam-5545	577	17	to	to	ADP
ejpam-5545	577	18	other	other	ADJ
ejpam-5545	577	19	sectors	sector	NOUN
ejpam-5545	577	20	,	,	PUNCT
ejpam-5545	577	21	such	such	ADJ
ejpam-5545	577	22	as	as	ADP
ejpam-5545	577	23	the	the	DET
ejpam-5545	577	24	medical	medical	ADJ
ejpam-5545	577	25	fields	field	NOUN
ejpam-5545	577	26	[	[	X
ejpam-5545	577	27	6	6	NUM
ejpam-5545	577	28	,	,	PUNCT
ejpam-5545	577	29	23	23	NUM
ejpam-5545	577	30	,	,	PUNCT
ejpam-5545	577	31	28	28	NUM
ejpam-5545	577	32	,	,	PUNCT
ejpam-5545	577	33	63	63	NUM
ejpam-5545	577	34	]	]	PUNCT
ejpam-5545	577	35	and	and	CCONJ
ejpam-5545	577	36	economic	economic	ADJ
ejpam-5545	577	37	fields	field	NOUN
ejpam-5545	577	38	[	[	X
ejpam-5545	577	39	34	34	NUM
ejpam-5545	577	40	,	,	PUNCT
ejpam-5545	577	41	36	36	NUM
ejpam-5545	577	42	]	]	PUNCT
ejpam-5545	577	43	,	,	PUNCT
ejpam-5545	577	44	in	in	ADP
ejpam-5545	577	45	order	order	NOUN
ejpam-5545	577	46	to	to	PART
ejpam-5545	577	47	assess	assess	VERB
ejpam-5545	577	48	real	real	ADJ
ejpam-5545	577	49	-	-	PUNCT
ejpam-5545	577	50	world	world	NOUN
ejpam-5545	577	51	applicability	applicability	NOUN
ejpam-5545	577	52	.	.	PUNCT
ejpam-5545	578	1	we	we	PRON
ejpam-5545	578	2	aim	aim	VERB
ejpam-5545	578	3	to	to	PART
ejpam-5545	578	4	use	use	VERB
ejpam-5545	578	5	βb	βb	ADJ
ejpam-5545	578	6	-	-	PUNCT
ejpam-5545	578	7	approximations	approximation	NOUN
ejpam-5545	578	8	in	in	ADP
ejpam-5545	578	9	several	several	ADJ
ejpam-5545	578	10	contexts	contexts	NOUN
ejpam-5545	578	11	,	,	PUNCT
ejpam-5545	578	12	including	include	VERB
ejpam-5545	578	13	approaches	approach	NOUN
ejpam-5545	578	14	in	in	ADP
ejpam-5545	578	15	soft	soft	ADJ
ejpam-5545	578	16	rough	rough	ADJ
ejpam-5545	578	17	sets	set	NOUN
ejpam-5545	578	18	[	[	X
ejpam-5545	578	19	29	29	NUM
ejpam-5545	578	20	,	,	PUNCT
ejpam-5545	578	21	33	33	NUM
ejpam-5545	578	22	]	]	PUNCT
ejpam-5545	578	23	,	,	PUNCT
ejpam-5545	578	24	rough	rough	ADJ
ejpam-5545	578	25	fuzzy	fuzzy	ADJ
ejpam-5545	578	26	sets	set	NOUN
ejpam-5545	578	27	[	[	X
ejpam-5545	578	28	35	35	NUM
ejpam-5545	578	29	,	,	PUNCT
ejpam-5545	578	30	38	38	NUM
ejpam-5545	578	31	,	,	PUNCT
ejpam-5545	578	32	39	39	NUM
ejpam-5545	578	33	]	]	PUNCT
ejpam-5545	578	34	,	,	PUNCT
ejpam-5545	578	35	fuzzy	fuzzy	ADJ
ejpam-5545	578	36	soft	soft	ADJ
ejpam-5545	578	37	sets	set	NOUN
ejpam-5545	578	38	[	[	X
ejpam-5545	578	39	9	9	NUM
ejpam-5545	578	40	,	,	PUNCT
ejpam-5545	578	41	20	20	NUM
ejpam-5545	578	42	,	,	PUNCT
ejpam-5545	578	43	59	59	NUM
ejpam-5545	578	44	,	,	PUNCT
ejpam-5545	578	45	61	61	NUM
ejpam-5545	578	46	]	]	PUNCT
ejpam-5545	578	47	,	,	PUNCT
ejpam-5545	578	48	fuzzy	fuzzy	ADJ
ejpam-5545	578	49	topological	topological	ADJ
ejpam-5545	578	50	spaces	space	NOUN
ejpam-5545	578	51	[	[	X
ejpam-5545	578	52	49	49	NUM
ejpam-5545	578	53	,	,	PUNCT
ejpam-5545	578	54	60	60	NUM
ejpam-5545	578	55	,	,	PUNCT
ejpam-5545	578	56	62	62	NUM
ejpam-5545	578	57	]	]	PUNCT
ejpam-5545	578	58	,	,	PUNCT
ejpam-5545	578	59	and	and	CCONJ
ejpam-5545	578	60	graph	graph	NOUN
ejpam-5545	578	61	theory	theory	NOUN
ejpam-5545	578	62	and	and	CCONJ
ejpam-5545	578	63	ideal	ideal	ADJ
ejpam-5545	578	64	applications	application	NOUN
ejpam-5545	578	65	[	[	X
ejpam-5545	578	66	5	5	NUM
ejpam-5545	578	67	,	,	PUNCT
ejpam-5545	578	68	25	25	NUM
ejpam-5545	578	69	,	,	PUNCT
ejpam-5545	578	70	45	45	NUM
ejpam-5545	578	71	,	,	PUNCT
ejpam-5545	578	72	52	52	NUM
ejpam-5545	578	73	]	]	PUNCT
ejpam-5545	578	74	.	.	PUNCT
ejpam-5545	579	1	conflict	conflict	NOUN
ejpam-5545	579	2	of	of	ADP
ejpam-5545	579	3	interest	interest	NOUN
ejpam-5545	579	4	:	:	PUNCT
ejpam-5545	579	5	the	the	DET
ejpam-5545	579	6	authors	author	NOUN
ejpam-5545	579	7	declare	declare	VERB
ejpam-5545	579	8	that	that	SCONJ
ejpam-5545	579	9	there	there	PRON
ejpam-5545	579	10	is	be	VERB
ejpam-5545	579	11	no	no	DET
ejpam-5545	579	12	conflict	conflict	NOUN
ejpam-5545	579	13	of	of	ADP
ejpam-5545	579	14	interest	interest	NOUN
ejpam-5545	579	15	.	.	PUNCT
ejpam-5545	580	1	references	reference	NOUN
ejpam-5545	580	2	3766	3766	NUM
ejpam-5545	580	3	acknowledgements	acknowledgement	NOUN
ejpam-5545	580	4	the	the	DET
ejpam-5545	580	5	authors	author	NOUN
ejpam-5545	580	6	would	would	AUX
ejpam-5545	580	7	like	like	VERB
ejpam-5545	580	8	to	to	PART
ejpam-5545	580	9	extend	extend	VERB
ejpam-5545	580	10	their	their	PRON
ejpam-5545	580	11	deepest	deep	ADJ
ejpam-5545	580	12	gratitude	gratitude	NOUN
ejpam-5545	580	13	to	to	ADP
ejpam-5545	580	14	the	the	DET
ejpam-5545	580	15	editor	editor	NOUN
ejpam-5545	580	16	-	-	PUNCT
ejpam-5545	580	17	in	in	ADP
ejpam-5545	580	18	-	-	PUNCT
ejpam-5545	580	19	chief	chief	NOUN
ejpam-5545	580	20	,	,	PUNCT
ejpam-5545	580	21	and	and	CCONJ
ejpam-5545	580	22	the	the	DET
ejpam-5545	580	23	reviewers	reviewer	NOUN
ejpam-5545	580	24	for	for	ADP
ejpam-5545	580	25	their	their	PRON
ejpam-5545	580	26	insightful	insightful	ADJ
ejpam-5545	580	27	comments	comment	NOUN
ejpam-5545	580	28	and	and	CCONJ
ejpam-5545	580	29	suggestions	suggestion	NOUN
ejpam-5545	580	30	,	,	PUNCT
ejpam-5545	580	31	which	which	PRON
ejpam-5545	580	32	were	be	AUX
ejpam-5545	580	33	instrumental	instrumental	ADJ
ejpam-5545	580	34	in	in	ADP
ejpam-5545	580	35	refining	refining	NOUN
ejpam-5545	580	36	and	and	CCONJ
ejpam-5545	580	37	improving	improve	VERB
ejpam-5545	580	38	the	the	DET
ejpam-5545	580	39	quality	quality	NOUN
ejpam-5545	580	40	of	of	ADP
ejpam-5545	580	41	this	this	DET
ejpam-5545	580	42	work	work	NOUN
ejpam-5545	580	43	.	.	PUNCT
ejpam-5545	581	1	special	special	ADJ
ejpam-5545	581	2	thanks	thank	NOUN
ejpam-5545	581	3	are	be	AUX
ejpam-5545	581	4	also	also	ADV
ejpam-5545	581	5	due	due	ADJ
ejpam-5545	581	6	to	to	ADP
ejpam-5545	581	7	our	our	PRON
ejpam-5545	581	8	esteemed	esteemed	ADJ
ejpam-5545	581	9	colleagues	colleague	NOUN
ejpam-5545	581	10	at	at	ADP
ejpam-5545	581	11	the	the	DET
ejpam-5545	581	12	egyptian	egyptian	ADJ
ejpam-5545	581	13	school	school	NOUN
ejpam-5545	581	14	of	of	ADP
ejpam-5545	581	15	topology	topology	NOUN
ejpam-5545	581	16	(	(	PUNCT
ejpam-5545	581	17	in	in	ADP
ejpam-5545	581	18	tanta	tanta	PROPN
ejpam-5545	581	19	,	,	PUNCT
ejpam-5545	581	20	egypt	egypt	PROPN
ejpam-5545	581	21	)	)	PUNCT
ejpam-5545	581	22	,	,	PUNCT
ejpam-5545	581	23	established	establish	VERB
ejpam-5545	581	24	by	by	ADP
ejpam-5545	581	25	prof	prof	PROPN
ejpam-5545	581	26	.	.	PUNCT
ejpam-5545	582	1	a.	a.	PROPN
ejpam-5545	582	2	s.	s.	PROPN
ejpam-5545	582	3	mashhour	mashhour	PROPN
ejpam-5545	582	4	and	and	CCONJ
ejpam-5545	582	5	prof	prof	PROPN
ejpam-5545	582	6	.	.	PUNCT
ejpam-5545	583	1	m.	m.	PROPN
ejpam-5545	583	2	e.	e.	PROPN
ejpam-5545	583	3	abd	abd	PROPN
ejpam-5545	584	1	el	el	PROPN
ejpam-5545	584	2	-	-	PROPN
ejpam-5545	584	3	monsef	monsef	ADJ
ejpam-5545	584	4	,	,	PUNCT
ejpam-5545	584	5	and	and	CCONJ
ejpam-5545	584	6	led	lead	VERB
ejpam-5545	584	7	by	by	ADP
ejpam-5545	584	8	prof	prof	PROPN
ejpam-5545	584	9	.	.	PUNCT
ejpam-5545	584	10	a.	a.	PROPN
ejpam-5545	584	11	m.	m.	PROPN
ejpam-5545	584	12	kozae	kozae	PROPN
ejpam-5545	584	13	.	.	PUNCT
ejpam-5545	585	1	this	this	DET
ejpam-5545	585	2	institution	institution	NOUN
ejpam-5545	585	3	has	have	AUX
ejpam-5545	585	4	fostered	foster	VERB
ejpam-5545	585	5	numerous	numerous	ADJ
ejpam-5545	585	6	distinguished	distinguished	ADJ
ejpam-5545	585	7	researchers	researcher	NOUN
ejpam-5545	585	8	both	both	CCONJ
ejpam-5545	585	9	within	within	ADP
ejpam-5545	585	10	egypt	egypt	PROPN
ejpam-5545	585	11	and	and	CCONJ
ejpam-5545	585	12	internationally	internationally	ADV
ejpam-5545	585	13	,	,	PUNCT
ejpam-5545	585	14	including	include	VERB
ejpam-5545	585	15	scholars	scholar	NOUN
ejpam-5545	585	16	from	from	ADP
ejpam-5545	585	17	yemen	yemen	PROPN
ejpam-5545	585	18	,	,	PUNCT
ejpam-5545	585	19	palestine	palestine	PROPN
ejpam-5545	585	20	,	,	PUNCT
ejpam-5545	585	21	jordan	jordan	PROPN
ejpam-5545	585	22	,	,	PUNCT
ejpam-5545	585	23	and	and	CCONJ
ejpam-5545	585	24	saudi	saudi	PROPN
ejpam-5545	585	25	arabia	arabia	PROPN
ejpam-5545	585	26	.	.	PUNCT
ejpam-5545	586	1	the	the	DET
ejpam-5545	586	2	authors	author	NOUN
ejpam-5545	586	3	are	be	AUX
ejpam-5545	586	4	particularly	particularly	ADV
ejpam-5545	586	5	thankful	thankful	ADJ
ejpam-5545	586	6	for	for	ADP
ejpam-5545	586	7	the	the	DET
ejpam-5545	586	8	school	school	NOUN
ejpam-5545	586	9	’s	’s	PART
ejpam-5545	586	10	unwavering	unwavering	ADJ
ejpam-5545	586	11	support	support	NOUN
ejpam-5545	586	12	,	,	PUNCT
ejpam-5545	586	13	encouragement	encouragement	NOUN
ejpam-5545	586	14	,	,	PUNCT
ejpam-5545	586	15	and	and	CCONJ
ejpam-5545	586	16	the	the	DET
ejpam-5545	586	17	enriching	enriching	ADJ
ejpam-5545	586	18	discussions	discussion	NOUN
ejpam-5545	586	19	that	that	PRON
ejpam-5545	586	20	contributed	contribute	VERB
ejpam-5545	586	21	to	to	ADP
ejpam-5545	586	22	this	this	DET
ejpam-5545	586	23	research	research	NOUN
ejpam-5545	586	24	.	.	PUNCT
ejpam-5545	587	1	finally	finally	ADV
ejpam-5545	587	2	,	,	PUNCT
ejpam-5545	587	3	this	this	DET
ejpam-5545	587	4	work	work	NOUN
ejpam-5545	587	5	is	be	AUX
ejpam-5545	587	6	dedicated	dedicate	VERB
ejpam-5545	587	7	to	to	ADP
ejpam-5545	587	8	the	the	DET
ejpam-5545	587	9	memory	memory	NOUN
ejpam-5545	587	10	of	of	ADP
ejpam-5545	587	11	prof	prof	PROPN
ejpam-5545	587	12	.	.	PUNCT
ejpam-5545	588	1	a.	a.	PROPN
ejpam-5545	588	2	s.	s.	PROPN
ejpam-5545	588	3	mashhour	mashhour	PROPN
ejpam-5545	588	4	,	,	PUNCT
ejpam-5545	588	5	prof	prof	PROPN
ejpam-5545	588	6	.	.	PUNCT
ejpam-5545	589	1	m.	m.	PROPN
ejpam-5545	589	2	e.	e.	PROPN
ejpam-5545	589	3	abd	abd	PROPN
ejpam-5545	590	1	el	el	PROPN
ejpam-5545	590	2	-	-	PROPN
ejpam-5545	590	3	monsef	monsef	ADJ
ejpam-5545	590	4	,	,	PUNCT
ejpam-5545	590	5	and	and	CCONJ
ejpam-5545	590	6	prof	prof	PROPN
ejpam-5545	590	7	.	.	PUNCT
ejpam-5545	590	8	a.	a.	PROPN
ejpam-5545	590	9	kandil	kandil	PROPN
ejpam-5545	590	10	“	"	PUNCT
ejpam-5545	590	11	may	may	AUX
ejpam-5545	590	12	god	god	PROPN
ejpam-5545	590	13	's	's	PART
ejpam-5545	590	14	mercy	mercy	NOUN
ejpam-5545	590	15	be	be	AUX
ejpam-5545	590	16	upon	upon	SCONJ
ejpam-5545	590	17	them	they	PRON
ejpam-5545	590	18	”	"	PUNCT
ejpam-5545	590	19	.	.	PUNCT
ejpam-5545	591	1	references	reference	NOUN
ejpam-5545	591	2	[	[	X
ejpam-5545	591	3	1	1	X
ejpam-5545	591	4	]	]	PUNCT
ejpam-5545	591	5	e.	e.	PROPN
ejpam-5545	591	6	a.	a.	PROPN
ejpam-5545	591	7	abo	abo	PROPN
ejpam-5545	591	8	-	-	PUNCT
ejpam-5545	591	9	tabl	tabl	NOUN
ejpam-5545	591	10	.	.	PUNCT
ejpam-5545	592	1	a	a	DET
ejpam-5545	592	2	comparison	comparison	NOUN
ejpam-5545	592	3	of	of	ADP
ejpam-5545	592	4	two	two	NUM
ejpam-5545	592	5	kinds	kind	NOUN
ejpam-5545	592	6	of	of	ADP
ejpam-5545	592	7	definitions	definition	NOUN
ejpam-5545	592	8	of	of	ADP
ejpam-5545	592	9	rough	rough	ADJ
ejpam-5545	592	10	approximations	approximation	NOUN
ejpam-5545	592	11	based	base	VERB
ejpam-5545	592	12	on	on	ADP
ejpam-5545	592	13	a	a	DET
ejpam-5545	592	14	similarity	similarity	NOUN
ejpam-5545	592	15	relation	relation	NOUN
ejpam-5545	592	16	.	.	PUNCT
ejpam-5545	593	1	inform	inform	NOUN
ejpam-5545	593	2	.	.	PUNCT
ejpam-5545	594	1	sci	sci	PROPN
ejpam-5545	594	2	.	.	PROPN
ejpam-5545	594	3	,	,	PUNCT
ejpam-5545	594	4	181(12):2587–2596	181(12):2587–2596	NUM
ejpam-5545	594	5	,	,	PUNCT
ejpam-5545	594	6	2011	2011	NUM
ejpam-5545	594	7	.	.	PUNCT
ejpam-5545	595	1	[	[	X
ejpam-5545	595	2	2	2	X
ejpam-5545	595	3	]	]	PUNCT
ejpam-5545	595	4	e.	e.	PROPN
ejpam-5545	595	5	a.	a.	PROPN
ejpam-5545	595	6	abo	abo	PROPN
ejpam-5545	595	7	-	-	PUNCT
ejpam-5545	595	8	tabl	tabl	NOUN
ejpam-5545	595	9	.	.	PUNCT
ejpam-5545	596	1	rough	rough	ADJ
ejpam-5545	596	2	sets	set	NOUN
ejpam-5545	596	3	and	and	CCONJ
ejpam-5545	596	4	topological	topological	ADJ
ejpam-5545	596	5	spaces	space	NOUN
ejpam-5545	596	6	based	base	VERB
ejpam-5545	596	7	on	on	ADP
ejpam-5545	596	8	similarity	similarity	NOUN
ejpam-5545	596	9	.	.	PUNCT
ejpam-5545	597	1	int	int	NOUN
ejpam-5545	597	2	.	.	PUNCT
ejpam-5545	598	1	j.	j.	PROPN
ejpam-5545	598	2	mach	mach	PROPN
ejpam-5545	598	3	.	.	PUNCT
ejpam-5545	599	1	learn	learn	VERB
ejpam-5545	599	2	.	.	PUNCT
ejpam-5545	600	1	cybern	cybern	PROPN
ejpam-5545	600	2	.	.	PROPN
ejpam-5545	600	3	,	,	PUNCT
ejpam-5545	600	4	4:451–458	4:451–458	NOUN
ejpam-5545	600	5	,	,	PUNCT
ejpam-5545	600	6	2013	2013	NUM
ejpam-5545	600	7	.	.	PUNCT
ejpam-5545	601	1	[	[	X
ejpam-5545	601	2	3	3	X
ejpam-5545	601	3	]	]	X
ejpam-5545	601	4	e.	e.	PROPN
ejpam-5545	601	5	a.	a.	PROPN
ejpam-5545	601	6	abo	abo	PROPN
ejpam-5545	601	7	-	-	PUNCT
ejpam-5545	601	8	tabl	tabl	NOUN
ejpam-5545	601	9	.	.	PUNCT
ejpam-5545	602	1	topological	topological	ADJ
ejpam-5545	602	2	approaches	approach	NOUN
ejpam-5545	602	3	to	to	ADP
ejpam-5545	602	4	generalized	generalized	ADJ
ejpam-5545	602	5	definitions	definition	NOUN
ejpam-5545	602	6	of	of	ADP
ejpam-5545	602	7	rough	rough	ADJ
ejpam-5545	602	8	multiset	multiset	ADJ
ejpam-5545	602	9	approximations	approximation	NOUN
ejpam-5545	602	10	.	.	PUNCT
ejpam-5545	603	1	int	int	NOUN
ejpam-5545	603	2	.	.	PUNCT
ejpam-5545	604	1	j.	j.	PROPN
ejpam-5545	604	2	mach	mach	PROPN
ejpam-5545	604	3	.	.	PUNCT
ejpam-5545	605	1	learn	learn	VERB
ejpam-5545	605	2	.	.	PUNCT
ejpam-5545	606	1	cybern	cybern	PROPN
ejpam-5545	606	2	.	.	PROPN
ejpam-5545	606	3	,	,	PUNCT
ejpam-5545	606	4	6:399–407	6:399–407	NUM
ejpam-5545	606	5	,	,	PUNCT
ejpam-5545	606	6	2015	2015	NUM
ejpam-5545	606	7	.	.	PUNCT
ejpam-5545	607	1	[	[	X
ejpam-5545	607	2	4	4	X
ejpam-5545	607	3	]	]	PUNCT
ejpam-5545	607	4	e.	e.	PROPN
ejpam-5545	607	5	a.	a.	PROPN
ejpam-5545	607	6	abo	abo	PROPN
ejpam-5545	607	7	-	-	PUNCT
ejpam-5545	607	8	tabl	tabl	NOUN
ejpam-5545	607	9	and	and	CCONJ
ejpam-5545	607	10	m.	m.	NOUN
ejpam-5545	607	11	k.	k.	PROPN
ejpam-5545	608	1	el	el	PROPN
ejpam-5545	608	2	-	-	PROPN
ejpam-5545	608	3	bably	bably	ADV
ejpam-5545	608	4	.	.	PUNCT
ejpam-5545	609	1	rough	rough	ADJ
ejpam-5545	609	2	topological	topological	ADJ
ejpam-5545	609	3	structure	structure	NOUN
ejpam-5545	609	4	based	base	VERB
ejpam-5545	609	5	on	on	ADP
ejpam-5545	609	6	reflexivity	reflexivity	NOUN
ejpam-5545	609	7	with	with	ADP
ejpam-5545	609	8	some	some	DET
ejpam-5545	609	9	applications	application	NOUN
ejpam-5545	609	10	.	.	PUNCT
ejpam-5545	610	1	aims	aim	VERB
ejpam-5545	610	2	mathematics	mathematic	NOUN
ejpam-5545	610	3	.	.	PUNCT
ejpam-5545	610	4	,	,	PUNCT
ejpam-5545	610	5	7(6):9911–9999	7(6):9911–9999	PROPN
ejpam-5545	610	6	,	,	PUNCT
ejpam-5545	610	7	2022	2022	NUM
ejpam-5545	610	8	.	.	PUNCT
ejpam-5545	611	1	[	[	X
ejpam-5545	611	2	5	5	NUM
ejpam-5545	611	3	]	]	PUNCT
ejpam-5545	611	4	r.	r.	PROPN
ejpam-5545	611	5	abu	abu	PROPN
ejpam-5545	611	6	-	-	PUNCT
ejpam-5545	611	7	gdairi	gdairi	PROPN
ejpam-5545	611	8	,	,	PUNCT
ejpam-5545	611	9	a.	a.	PROPN
ejpam-5545	611	10	e.	e.	PROPN
ejpam-5545	611	11	f.	f.	PROPN
ejpam-5545	611	12	a.	a.	PROPN
ejpam-5545	611	13	el	el	PROPN
ejpam-5545	611	14	atik	atik	PROPN
ejpam-5545	611	15	,	,	PUNCT
ejpam-5545	611	16	and	and	CCONJ
ejpam-5545	611	17	m.	m.	PROPN
ejpam-5545	611	18	k.	k.	PROPN
ejpam-5545	611	19	el	el	PROPN
ejpam-5545	611	20	-	-	PROPN
ejpam-5545	611	21	bably	bably	ADV
ejpam-5545	611	22	.	.	PUNCT
ejpam-5545	612	1	topological	topological	ADJ
ejpam-5545	612	2	visualization	visualization	NOUN
ejpam-5545	612	3	and	and	CCONJ
ejpam-5545	612	4	graph	graph	VERB
ejpam-5545	612	5	analysis	analysis	NOUN
ejpam-5545	612	6	of	of	ADP
ejpam-5545	612	7	rough	rough	ADJ
ejpam-5545	612	8	sets	set	NOUN
ejpam-5545	612	9	via	via	ADP
ejpam-5545	612	10	neighborhoods	neighborhood	NOUN
ejpam-5545	612	11	:	:	PUNCT
ejpam-5545	612	12	a	a	DET
ejpam-5545	612	13	medical	medical	ADJ
ejpam-5545	612	14	application	application	NOUN
ejpam-5545	612	15	using	use	VERB
ejpam-5545	612	16	human	human	ADJ
ejpam-5545	612	17	heart	heart	NOUN
ejpam-5545	612	18	data	datum	NOUN
ejpam-5545	612	19	.	.	PUNCT
ejpam-5545	613	1	aims	aim	VERB
ejpam-5545	613	2	mathematics	mathematic	NOUN
ejpam-5545	613	3	.	.	PUNCT
ejpam-5545	613	4	,	,	PUNCT
ejpam-5545	613	5	8(11):26945–26967	8(11):26945–26967	NUM
ejpam-5545	613	6	,	,	PUNCT
ejpam-5545	613	7	2023	2023	NUM
ejpam-5545	613	8	.	.	PUNCT
ejpam-5545	614	1	[	[	X
ejpam-5545	614	2	6	6	NUM
ejpam-5545	614	3	]	]	PUNCT
ejpam-5545	614	4	r.	r.	PROPN
ejpam-5545	614	5	abu	abu	PROPN
ejpam-5545	614	6	-	-	PUNCT
ejpam-5545	614	7	gdairi	gdairi	PROPN
ejpam-5545	614	8	and	and	CCONJ
ejpam-5545	614	9	m.	m.	PROPN
ejpam-5545	614	10	k.	k.	PROPN
ejpam-5545	614	11	el	el	PROPN
ejpam-5545	614	12	-	-	PROPN
ejpam-5545	614	13	bably	bably	ADV
ejpam-5545	614	14	.	.	PUNCT
ejpam-5545	615	1	the	the	DET
ejpam-5545	615	2	accurate	accurate	ADJ
ejpam-5545	615	3	diagnosis	diagnosis	NOUN
ejpam-5545	615	4	for	for	ADP
ejpam-5545	615	5	covid19	covid19	NOUN
ejpam-5545	615	6	variants	variant	NOUN
ejpam-5545	615	7	using	use	VERB
ejpam-5545	615	8	nearly	nearly	ADV
ejpam-5545	615	9	initial	initial	ADJ
ejpam-5545	615	10	-	-	PUNCT
ejpam-5545	615	11	rough	rough	ADJ
ejpam-5545	615	12	sets	set	NOUN
ejpam-5545	615	13	.	.	PUNCT
ejpam-5545	616	1	heliyon	heliyon	NOUN
ejpam-5545	616	2	.	.	PUNCT
ejpam-5545	616	3	,	,	PUNCT
ejpam-5545	616	4	10(10	10(10	NUM
ejpam-5545	616	5	)	)	PUNCT
ejpam-5545	616	6	,	,	PUNCT
ejpam-5545	616	7	2024	2024	NUM
ejpam-5545	616	8	.	.	PUNCT
ejpam-5545	617	1	https://doi.org/10.1016/j.heliyon.2024.e31288	https://doi.org/10.1016/j.heliyon.2024.e31288	PUNCT
ejpam-5545	617	2	.	.	PUNCT
ejpam-5545	618	1	[	[	X
ejpam-5545	618	2	7	7	X
ejpam-5545	618	3	]	]	X
ejpam-5545	618	4	r.	r.	PROPN
ejpam-5545	618	5	abu	abu	PROPN
ejpam-5545	618	6	-	-	PUNCT
ejpam-5545	618	7	gdairi	gdairi	PROPN
ejpam-5545	618	8	,	,	PUNCT
ejpam-5545	618	9	m.	m.	NOUN
ejpam-5545	618	10	a.	a.	PROPN
ejpam-5545	618	11	el	el	PROPN
ejpam-5545	618	12	-	-	PROPN
ejpam-5545	618	13	gayar	gayar	NOUN
ejpam-5545	618	14	,	,	PUNCT
ejpam-5545	618	15	t.	t.	PROPN
ejpam-5545	618	16	m.	m.	PROPN
ejpam-5545	618	17	al	al	PROPN
ejpam-5545	618	18	-	-	PUNCT
ejpam-5545	618	19	shami	shami	PROPN
ejpam-5545	618	20	,	,	PUNCT
ejpam-5545	618	21	a.	a.	PROPN
ejpam-5545	618	22	s.	s.	PROPN
ejpam-5545	618	23	nawar	nawar	PROPN
ejpam-5545	618	24	,	,	PUNCT
ejpam-5545	618	25	and	and	CCONJ
ejpam-5545	618	26	m.	m.	PROPN
ejpam-5545	618	27	k.	k.	PROPN
ejpam-5545	619	1	el	el	PROPN
ejpam-5545	619	2	-	-	PROPN
ejpam-5545	619	3	bably	bably	ADV
ejpam-5545	619	4	.	.	PUNCT
ejpam-5545	620	1	some	some	DET
ejpam-5545	620	2	topological	topological	ADJ
ejpam-5545	620	3	approaches	approach	NOUN
ejpam-5545	620	4	for	for	ADP
ejpam-5545	620	5	generalized	generalized	ADJ
ejpam-5545	620	6	rough	rough	ADJ
ejpam-5545	620	7	sets	set	NOUN
ejpam-5545	620	8	and	and	CCONJ
ejpam-5545	620	9	their	their	PRON
ejpam-5545	620	10	decision	decision	NOUN
ejpam-5545	620	11	-	-	PUNCT
ejpam-5545	620	12	making	make	VERB
ejpam-5545	620	13	applications	application	NOUN
ejpam-5545	620	14	.	.	PUNCT
ejpam-5545	621	1	symmetry	symmetry	NOUN
ejpam-5545	621	2	,	,	PUNCT
ejpam-5545	621	3	14	14	NUM
ejpam-5545	621	4	,	,	PUNCT
ejpam-5545	621	5	2022	2022	NUM
ejpam-5545	621	6	.	.	PUNCT
ejpam-5545	622	1	https://doi.org/10.3390/sym14010095	https://doi.org/10.3390/sym14010095	NOUN
ejpam-5545	622	2	.	.	PUNCT
ejpam-5545	623	1	[	[	X
ejpam-5545	623	2	8	8	NUM
ejpam-5545	623	3	]	]	X
ejpam-5545	623	4	r.	r.	PROPN
ejpam-5545	623	5	abu	abu	PROPN
ejpam-5545	623	6	-	-	PUNCT
ejpam-5545	623	7	gdairi	gdairi	PROPN
ejpam-5545	623	8	,	,	PUNCT
ejpam-5545	623	9	m.	m.	NOUN
ejpam-5545	623	10	a.	a.	PROPN
ejpam-5545	623	11	el	el	PROPN
ejpam-5545	623	12	-	-	PUNCT
ejpam-5545	623	13	gayar	gayar	PROPN
ejpam-5545	623	14	,	,	PUNCT
ejpam-5545	623	15	m.	m.	NOUN
ejpam-5545	623	16	k.	k.	PROPN
ejpam-5545	623	17	el	el	PROPN
ejpam-5545	623	18	-	-	PROPN
ejpam-5545	623	19	bably	bably	ADV
ejpam-5545	623	20	,	,	PUNCT
ejpam-5545	623	21	and	and	CCONJ
ejpam-5545	623	22	k.	k.	PROPN
ejpam-5545	623	23	k.	k.	PROPN
ejpam-5545	623	24	fleifel	fleifel	PROPN
ejpam-5545	623	25	.	.	PUNCT
ejpam-5545	624	1	two	two	NUM
ejpam-5545	624	2	different	different	ADJ
ejpam-5545	624	3	views	view	NOUN
ejpam-5545	624	4	for	for	ADP
ejpam-5545	624	5	generalized	generalized	ADJ
ejpam-5545	624	6	rough	rough	ADJ
ejpam-5545	624	7	sets	set	NOUN
ejpam-5545	624	8	with	with	ADP
ejpam-5545	624	9	applications	application	NOUN
ejpam-5545	624	10	.	.	PUNCT
ejpam-5545	625	1	mathematics	mathematic	NOUN
ejpam-5545	625	2	.	.	PUNCT
ejpam-5545	625	3	,	,	PUNCT
ejpam-5545	625	4	9	9	NUM
ejpam-5545	625	5	,	,	PUNCT
ejpam-5545	625	6	2021	2021	NUM
ejpam-5545	625	7	.	.	PUNCT
ejpam-5545	626	1	https://doi.org/10.3390/math9182275	https://doi.org/10.3390/math9182275	PROPN
ejpam-5545	626	2	.	.	PUNCT
ejpam-5545	627	1	[	[	X
ejpam-5545	627	2	9	9	NUM
ejpam-5545	627	3	]	]	PUNCT
ejpam-5545	627	4	r.	r.	PROPN
ejpam-5545	627	5	abu	abu	PROPN
ejpam-5545	627	6	-	-	PUNCT
ejpam-5545	627	7	gdairi	gdairi	PROPN
ejpam-5545	627	8	,	,	PUNCT
ejpam-5545	627	9	a.	a.	NOUN
ejpam-5545	627	10	a.	a.	NOUN
ejpam-5545	627	11	nasef	nasef	PROPN
ejpam-5545	627	12	,	,	PUNCT
ejpam-5545	627	13	m.	m.	NOUN
ejpam-5545	627	14	a.	a.	PROPN
ejpam-5545	627	15	el	el	PROPN
ejpam-5545	627	16	-	-	PROPN
ejpam-5545	627	17	gayar	gayar	NOUN
ejpam-5545	627	18	,	,	PUNCT
ejpam-5545	627	19	and	and	CCONJ
ejpam-5545	627	20	m.	m.	PROPN
ejpam-5545	627	21	k.	k.	PROPN
ejpam-5545	627	22	el	el	PROPN
ejpam-5545	627	23	-	-	PROPN
ejpam-5545	627	24	bably	bably	ADV
ejpam-5545	627	25	.	.	PUNCT
ejpam-5545	628	1	on	on	ADP
ejpam-5545	628	2	fuzzy	fuzzy	ADJ
ejpam-5545	628	3	point	point	NOUN
ejpam-5545	628	4	applications	application	NOUN
ejpam-5545	628	5	of	of	ADP
ejpam-5545	628	6	fuzzy	fuzzy	ADJ
ejpam-5545	628	7	topological	topological	ADJ
ejpam-5545	628	8	spaces	space	NOUN
ejpam-5545	628	9	.	.	PUNCT
ejpam-5545	629	1	int	int	NOUN
ejpam-5545	629	2	.	.	PUNCT
ejpam-5545	630	1	j.	j.	PROPN
ejpam-5545	630	2	fuzz	fuzz	PROPN
ejpam-5545	630	3	.	.	PUNCT
ejpam-5545	631	1	log	log	PROPN
ejpam-5545	631	2	.	.	PUNCT
ejpam-5545	632	1	intell	intell	PROPN
ejpam-5545	632	2	,	,	PUNCT
ejpam-5545	632	3	syst	syst	PROPN
ejpam-5545	632	4	.	.	PUNCT
ejpam-5545	632	5	,	,	PUNCT
ejpam-5545	632	6	23(2):162–172	23(2):162–172	PROPN
ejpam-5545	632	7	,	,	PUNCT
ejpam-5545	632	8	2023	2023	NUM
ejpam-5545	632	9	.	.	PUNCT
ejpam-5545	633	1	references	reference	NOUN
ejpam-5545	633	2	3767	3767	NUM
ejpam-5545	633	3	[	[	X
ejpam-5545	633	4	10	10	NUM
ejpam-5545	633	5	]	]	PUNCT
ejpam-5545	633	6	t.	t.	PROPN
ejpam-5545	633	7	m.	m.	PROPN
ejpam-5545	633	8	al	al	PROPN
ejpam-5545	633	9	-	-	PUNCT
ejpam-5545	633	10	shami	shami	PROPN
ejpam-5545	633	11	.	.	PUNCT
ejpam-5545	634	1	an	an	DET
ejpam-5545	634	2	improvement	improvement	NOUN
ejpam-5545	634	3	of	of	ADP
ejpam-5545	634	4	rough	rough	ADJ
ejpam-5545	634	5	sets	set	NOUN
ejpam-5545	634	6	’	'	PUNCT
ejpam-5545	634	7	accuracy	accuracy	NOUN
ejpam-5545	634	8	measure	measure	NOUN
ejpam-5545	634	9	using	use	VERB
ejpam-5545	634	10	containment	containment	NOUN
ejpam-5545	634	11	neighborhoods	neighborhood	NOUN
ejpam-5545	634	12	with	with	ADP
ejpam-5545	634	13	a	a	DET
ejpam-5545	634	14	medical	medical	ADJ
ejpam-5545	634	15	application	application	NOUN
ejpam-5545	634	16	.	.	PUNCT
ejpam-5545	635	1	inform	inform	NOUN
ejpam-5545	635	2	.	.	PUNCT
ejpam-5545	636	1	sci	sci	PROPN
ejpam-5545	636	2	.	.	PROPN
ejpam-5545	636	3	,	,	PUNCT
ejpam-5545	636	4	569:110–124	569:110–124	NUM
ejpam-5545	636	5	,	,	PUNCT
ejpam-5545	636	6	2021	2021	NUM
ejpam-5545	636	7	.	.	PUNCT
ejpam-5545	637	1	[	[	X
ejpam-5545	637	2	11	11	NUM
ejpam-5545	637	3	]	]	PUNCT
ejpam-5545	637	4	t.	t.	PROPN
ejpam-5545	637	5	m.	m.	PROPN
ejpam-5545	637	6	al	al	PROPN
ejpam-5545	637	7	-	-	PUNCT
ejpam-5545	637	8	shami	shami	PROPN
ejpam-5545	637	9	.	.	PUNCT
ejpam-5545	638	1	maximal	maximal	ADJ
ejpam-5545	638	2	rough	rough	ADJ
ejpam-5545	638	3	neighborhoods	neighborhood	NOUN
ejpam-5545	638	4	with	with	ADP
ejpam-5545	638	5	a	a	DET
ejpam-5545	638	6	medical	medical	ADJ
ejpam-5545	638	7	application	application	NOUN
ejpam-5545	638	8	.	.	PUNCT
ejpam-5545	639	1	j.	j.	PROPN
ejpam-5545	639	2	ambient	ambient	PROPN
ejpam-5545	639	3	intell	intell	PROPN
ejpam-5545	639	4	.	.	PUNCT
ejpam-5545	640	1	human	human	NOUN
ejpam-5545	640	2	.	.	PUNCT
ejpam-5545	641	1	comput	comput	PROPN
ejpam-5545	641	2	.	.	PUNCT
ejpam-5545	641	3	,	,	PUNCT
ejpam-5545	641	4	14:16373–16384	14:16373–16384	NUM
ejpam-5545	641	5	,	,	PUNCT
ejpam-5545	641	6	2023	2023	NUM
ejpam-5545	641	7	.	.	PUNCT
ejpam-5545	642	1	[	[	X
ejpam-5545	642	2	12	12	NUM
ejpam-5545	642	3	]	]	PUNCT
ejpam-5545	642	4	t.	t.	PROPN
ejpam-5545	642	5	m.	m.	PROPN
ejpam-5545	642	6	al	al	PROPN
ejpam-5545	642	7	-	-	PUNCT
ejpam-5545	642	8	shami	shami	PROPN
ejpam-5545	642	9	and	and	CCONJ
ejpam-5545	642	10	d.	d.	PROPN
ejpam-5545	642	11	ciucci	ciucci	PROPN
ejpam-5545	642	12	.	.	PUNCT
ejpam-5545	643	1	subset	subset	ADJ
ejpam-5545	643	2	neighborhood	neighborhood	NOUN
ejpam-5545	643	3	rough	rough	ADJ
ejpam-5545	643	4	sets	set	NOUN
ejpam-5545	643	5	.	.	PUNCT
ejpam-5545	644	1	knowl.-based	knowl.-based	PROPN
ejpam-5545	644	2	syst	syst	PROPN
ejpam-5545	644	3	.	.	PUNCT
ejpam-5545	644	4	,	,	PUNCT
ejpam-5545	644	5	237:107868	237:107868	NUM
ejpam-5545	644	6	,	,	PUNCT
ejpam-5545	644	7	2022	2022	NUM
ejpam-5545	644	8	.	.	PUNCT
ejpam-5545	645	1	https://doi.org/10.1016/j.knosys.2021.107868	https://doi.org/10.1016/j.knosys.2021.107868	PROPN
ejpam-5545	645	2	.	.	PUNCT
ejpam-5545	646	1	[	[	X
ejpam-5545	646	2	13	13	NUM
ejpam-5545	646	3	]	]	PUNCT
ejpam-5545	646	4	t.	t.	PROPN
ejpam-5545	646	5	m.	m.	PROPN
ejpam-5545	646	6	al	al	PROPN
ejpam-5545	646	7	-	-	PUNCT
ejpam-5545	646	8	shami	shami	PROPN
ejpam-5545	646	9	,	,	PUNCT
ejpam-5545	646	10	w.	w.	PROPN
ejpam-5545	646	11	q.	q.	PROPN
ejpam-5545	646	12	fu	fu	PROPN
ejpam-5545	646	13	,	,	PUNCT
ejpam-5545	646	14	and	and	CCONJ
ejpam-5545	646	15	e.	e.	PROPN
ejpam-5545	646	16	a.	a.	PROPN
ejpam-5545	646	17	abo	abo	PROPN
ejpam-5545	646	18	-	-	PUNCT
ejpam-5545	646	19	tabl	tabl	NOUN
ejpam-5545	646	20	.	.	PUNCT
ejpam-5545	647	1	new	new	ADJ
ejpam-5545	647	2	rough	rough	ADJ
ejpam-5545	647	3	approximations	approximation	NOUN
ejpam-5545	647	4	based	base	VERB
ejpam-5545	647	5	on	on	ADP
ejpam-5545	647	6	e	e	NOUN
ejpam-5545	647	7	-	-	NOUN
ejpam-5545	647	8	neighborhoods	neighborhood	NOUN
ejpam-5545	647	9	.	.	PUNCT
ejpam-5545	648	1	complexity	complexity	NOUN
ejpam-5545	648	2	.	.	PUNCT
ejpam-5545	648	3	,	,	PUNCT
ejpam-5545	648	4	2021:6666853	2021:6666853	NUM
ejpam-5545	648	5	,	,	PUNCT
ejpam-5545	648	6	2021	2021	NUM
ejpam-5545	648	7	.	.	PUNCT
ejpam-5545	649	1	https://doi.org/10.1155/2021/6666853	https://doi.org/10.1155/2021/6666853	PROPN
ejpam-5545	649	2	.	.	PUNCT
ejpam-5545	650	1	[	[	X
ejpam-5545	650	2	14	14	NUM
ejpam-5545	650	3	]	]	PUNCT
ejpam-5545	650	4	t.	t.	PROPN
ejpam-5545	650	5	m.	m.	PROPN
ejpam-5545	650	6	al	al	PROPN
ejpam-5545	650	7	-	-	PUNCT
ejpam-5545	650	8	shami	shami	PROPN
ejpam-5545	650	9	and	and	CCONJ
ejpam-5545	650	10	m.	m.	PROPN
ejpam-5545	650	11	hosny	hosny	PROPN
ejpam-5545	650	12	.	.	PUNCT
ejpam-5545	651	1	improvement	improvement	NOUN
ejpam-5545	651	2	of	of	ADP
ejpam-5545	651	3	approximation	approximation	NOUN
ejpam-5545	651	4	spaces	space	NOUN
ejpam-5545	651	5	using	use	VERB
ejpam-5545	651	6	maximal	maximal	ADJ
ejpam-5545	651	7	left	leave	VERB
ejpam-5545	651	8	neighborhoods	neighborhood	NOUN
ejpam-5545	651	9	and	and	CCONJ
ejpam-5545	651	10	ideals	ideal	NOUN
ejpam-5545	651	11	.	.	PUNCT
ejpam-5545	652	1	ieee	ieee	NOUN
ejpam-5545	652	2	access	access	NOUN
ejpam-5545	652	3	.	.	PUNCT
ejpam-5545	652	4	,	,	PUNCT
ejpam-5545	652	5	10:79379–79393	10:79379–79393	PROPN
ejpam-5545	652	6	,	,	PUNCT
ejpam-5545	652	7	2022	2022	NUM
ejpam-5545	652	8	.	.	PUNCT
ejpam-5545	653	1	[	[	X
ejpam-5545	653	2	15	15	NUM
ejpam-5545	653	3	]	]	X
ejpam-5545	653	4	t.	t.	PROPN
ejpam-5545	653	5	m.	m.	PROPN
ejpam-5545	653	6	al	al	PROPN
ejpam-5545	653	7	-	-	PUNCT
ejpam-5545	653	8	shami	shami	PROPN
ejpam-5545	653	9	,	,	PUNCT
ejpam-5545	653	10	m.	m.	PROPN
ejpam-5545	653	11	hosny	hosny	PROPN
ejpam-5545	653	12	,	,	PUNCT
ejpam-5545	653	13	m.	m.	NOUN
ejpam-5545	653	14	arar	arar	PROPN
ejpam-5545	653	15	,	,	PUNCT
ejpam-5545	653	16	and	and	CCONJ
ejpam-5545	653	17	r.	r.	PROPN
ejpam-5545	653	18	a.	a.	PROPN
ejpam-5545	653	19	hosny	hosny	PROPN
ejpam-5545	653	20	.	.	PUNCT
ejpam-5545	654	1	generalized	generalize	VERB
ejpam-5545	654	2	rough	rough	ADJ
ejpam-5545	654	3	approximation	approximation	NOUN
ejpam-5545	654	4	spaces	space	NOUN
ejpam-5545	654	5	inspired	inspire	VERB
ejpam-5545	654	6	by	by	ADP
ejpam-5545	654	7	cardinality	cardinality	NOUN
ejpam-5545	654	8	neighborhoods	neighborhood	NOUN
ejpam-5545	654	9	and	and	CCONJ
ejpam-5545	654	10	ideals	ideal	NOUN
ejpam-5545	654	11	with	with	ADP
ejpam-5545	654	12	application	application	NOUN
ejpam-5545	654	13	to	to	ADP
ejpam-5545	654	14	dengue	dengue	NOUN
ejpam-5545	654	15	disease	disease	NOUN
ejpam-5545	654	16	.	.	PUNCT
ejpam-5545	655	1	j.	j.	PROPN
ejpam-5545	655	2	appl	appl	PROPN
ejpam-5545	655	3	.	.	PUNCT
ejpam-5545	656	1	mathem	mathem	PROPN
ejpam-5545	656	2	.	.	PUNCT
ejpam-5545	657	1	comp	comp	PROPN
ejpam-5545	657	2	.	.	PUNCT
ejpam-5545	657	3	,	,	PUNCT
ejpam-5545	657	4	pages	page	NOUN
ejpam-5545	657	5	1–31	1–31	PROPN
ejpam-5545	657	6	,	,	PUNCT
ejpam-5545	657	7	2024	2024	NUM
ejpam-5545	657	8	.	.	PUNCT
ejpam-5545	658	1	https://doi.org/10.1007/s12190-024-02235-9	https://doi.org/10.1007/s12190-024-02235-9	NUM
ejpam-5545	658	2	.	.	PUNCT
ejpam-5545	659	1	[	[	X
ejpam-5545	659	2	16	16	NUM
ejpam-5545	659	3	]	]	PUNCT
ejpam-5545	659	4	t.	t.	PROPN
ejpam-5545	659	5	m.	m.	PROPN
ejpam-5545	659	6	al	al	PROPN
ejpam-5545	659	7	-	-	PUNCT
ejpam-5545	659	8	shami	shami	PROPN
ejpam-5545	659	9	and	and	CCONJ
ejpam-5545	659	10	a.	a.	NOUN
ejpam-5545	659	11	mhemdi	mhemdi	PROPN
ejpam-5545	659	12	.	.	PUNCT
ejpam-5545	660	1	overlapping	overlap	VERB
ejpam-5545	660	2	containment	containment	NOUN
ejpam-5545	660	3	rough	rough	ADJ
ejpam-5545	660	4	neighborhoods	neighborhood	NOUN
ejpam-5545	660	5	and	and	CCONJ
ejpam-5545	660	6	their	their	PRON
ejpam-5545	660	7	generalized	generalized	ADJ
ejpam-5545	660	8	approximation	approximation	NOUN
ejpam-5545	660	9	spaces	space	NOUN
ejpam-5545	660	10	with	with	ADP
ejpam-5545	660	11	applications	application	NOUN
ejpam-5545	660	12	.	.	PUNCT
ejpam-5545	661	1	j.	j.	PROPN
ejpam-5545	661	2	appl	appl	PROPN
ejpam-5545	661	3	.	.	PUNCT
ejpam-5545	662	1	mathem	mathem	PROPN
ejpam-5545	662	2	.	.	PUNCT
ejpam-5545	663	1	comp	comp	PROPN
ejpam-5545	663	2	.	.	PUNCT
ejpam-5545	663	3	,	,	PUNCT
ejpam-5545	663	4	pages	page	NOUN
ejpam-5545	663	5	1–32	1–32	PROPN
ejpam-5545	663	6	,	,	PUNCT
ejpam-5545	663	7	2024	2024	NUM
ejpam-5545	663	8	.	.	PUNCT
ejpam-5545	664	1	https://doi.org/10.1007/s12190-024-02261-7	https://doi.org/10.1007/s12190-024-02261-7	NUM
ejpam-5545	664	2	.	.	PUNCT
ejpam-5545	665	1	[	[	X
ejpam-5545	665	2	17	17	NUM
ejpam-5545	665	3	]	]	PUNCT
ejpam-5545	665	4	m.	m.	PROPN
ejpam-5545	665	5	i.	i.	PROPN
ejpam-5545	665	6	ali	ali	PROPN
ejpam-5545	665	7	,	,	PUNCT
ejpam-5545	665	8	m.	m.	PROPN
ejpam-5545	665	9	k.	k.	PROPN
ejpam-5545	666	1	el	el	PROPN
ejpam-5545	666	2	-	-	PROPN
ejpam-5545	666	3	bably	bably	ADV
ejpam-5545	666	4	,	,	PUNCT
ejpam-5545	666	5	and	and	CCONJ
ejpam-5545	666	6	e.	e.	PROPN
ejpam-5545	666	7	a.	a.	PROPN
ejpam-5545	666	8	abo	abo	PROPN
ejpam-5545	666	9	-	-	PUNCT
ejpam-5545	666	10	tabl	tabl	NOUN
ejpam-5545	666	11	.	.	PUNCT
ejpam-5545	667	1	topological	topological	ADJ
ejpam-5545	667	2	approach	approach	NOUN
ejpam-5545	667	3	to	to	ADP
ejpam-5545	667	4	generalized	generalize	VERB
ejpam-5545	667	5	soft	soft	ADJ
ejpam-5545	667	6	rough	rough	ADJ
ejpam-5545	667	7	sets	set	NOUN
ejpam-5545	667	8	via	via	ADP
ejpam-5545	667	9	near	near	ADJ
ejpam-5545	667	10	concepts	concept	NOUN
ejpam-5545	667	11	.	.	PUNCT
ejpam-5545	668	1	soft	soft	ADJ
ejpam-5545	668	2	comput	comput	NOUN
ejpam-5545	668	3	.	.	PUNCT
ejpam-5545	668	4	,	,	PUNCT
ejpam-5545	668	5	26:499–509	26:499–509	NUM
ejpam-5545	668	6	,	,	PUNCT
ejpam-5545	668	7	2022	2022	NUM
ejpam-5545	668	8	.	.	PUNCT
ejpam-5545	669	1	[	[	X
ejpam-5545	669	2	18	18	NUM
ejpam-5545	669	3	]	]	PUNCT
ejpam-5545	669	4	a.	a.	NOUN
ejpam-5545	669	5	a.	a.	PROPN
ejpam-5545	669	6	allam	allam	PROPN
ejpam-5545	669	7	,	,	PUNCT
ejpam-5545	669	8	m.	m.	PROPN
ejpam-5545	669	9	y.	y.	PROPN
ejpam-5545	669	10	bakeir	bakeir	PROPN
ejpam-5545	669	11	,	,	PUNCT
ejpam-5545	669	12	and	and	CCONJ
ejpam-5545	669	13	e.	e.	PROPN
ejpam-5545	669	14	a.	a.	PROPN
ejpam-5545	669	15	abo	abo	PROPN
ejpam-5545	669	16	-	-	PUNCT
ejpam-5545	669	17	tabl	tabl	NOUN
ejpam-5545	669	18	.	.	PUNCT
ejpam-5545	670	1	new	new	ADJ
ejpam-5545	670	2	approach	approach	NOUN
ejpam-5545	670	3	for	for	ADP
ejpam-5545	670	4	basic	basic	ADJ
ejpam-5545	670	5	rough	rough	ADJ
ejpam-5545	670	6	set	set	NOUN
ejpam-5545	670	7	concepts	concept	NOUN
ejpam-5545	670	8	,	,	PUNCT
ejpam-5545	670	9	in	in	ADP
ejpam-5545	670	10	:	:	PUNCT
ejpam-5545	670	11	rough	rough	ADJ
ejpam-5545	670	12	sets	set	NOUN
ejpam-5545	670	13	,	,	PUNCT
ejpam-5545	670	14	fuzzy	fuzzy	ADJ
ejpam-5545	670	15	sets	set	NOUN
ejpam-5545	670	16	,	,	PUNCT
ejpam-5545	670	17	data	datum	NOUN
ejpam-5545	670	18	mining	mining	NOUN
ejpam-5545	670	19	,	,	PUNCT
ejpam-5545	670	20	and	and	CCONJ
ejpam-5545	670	21	granular	granular	ADJ
ejpam-5545	670	22	computing	computing	NOUN
ejpam-5545	670	23	.	.	PUNCT
ejpam-5545	671	1	berlin	berlin	PROPN
ejpam-5545	671	2	,	,	PUNCT
ejpam-5545	671	3	heidelberg	heidelberg	PROPN
ejpam-5545	671	4	,	,	PUNCT
ejpam-5545	671	5	springer	springer	NOUN
ejpam-5545	671	6	,	,	PUNCT
ejpam-5545	671	7	2005	2005	NUM
ejpam-5545	671	8	.	.	PUNCT
ejpam-5545	672	1	[	[	X
ejpam-5545	672	2	19	19	NUM
ejpam-5545	672	3	]	]	PUNCT
ejpam-5545	672	4	a.	a.	NOUN
ejpam-5545	672	5	a.	a.	PROPN
ejpam-5545	672	6	allam	allam	PROPN
ejpam-5545	672	7	,	,	PUNCT
ejpam-5545	672	8	m.	m.	PROPN
ejpam-5545	672	9	y.	y.	PROPN
ejpam-5545	672	10	bakeir	bakeir	PROPN
ejpam-5545	672	11	,	,	PUNCT
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ejpam-5545	672	13	e.	e.	PROPN
ejpam-5545	672	14	a.	a.	PROPN
ejpam-5545	672	15	abo	abo	PROPN
ejpam-5545	672	16	-	-	PUNCT
ejpam-5545	672	17	tabl	tabl	NOUN
ejpam-5545	672	18	.	.	PUNCT
ejpam-5545	673	1	new	new	ADJ
ejpam-5545	673	2	approach	approach	NOUN
ejpam-5545	673	3	for	for	ADP
ejpam-5545	673	4	basic	basic	ADJ
ejpam-5545	673	5	rough	rough	ADJ
ejpam-5545	673	6	set	set	NOUN
ejpam-5545	673	7	concepts	concept	NOUN
ejpam-5545	673	8	,	,	PUNCT
ejpam-5545	673	9	in	in	ADP
ejpam-5545	673	10	:	:	PUNCT
ejpam-5545	673	11	rough	rough	ADJ
ejpam-5545	673	12	sets	set	NOUN
ejpam-5545	673	13	,	,	PUNCT
ejpam-5545	673	14	fuzzy	fuzzy	ADJ
ejpam-5545	673	15	sets	set	NOUN
ejpam-5545	673	16	,	,	PUNCT
ejpam-5545	673	17	data	datum	NOUN
ejpam-5545	673	18	mining	mining	NOUN
ejpam-5545	673	19	,	,	PUNCT
ejpam-5545	673	20	and	and	CCONJ
ejpam-5545	673	21	granular	granular	ADJ
ejpam-5545	673	22	computing	computing	NOUN
ejpam-5545	673	23	.	.	PUNCT
ejpam-5545	674	1	acta	acta	PROPN
ejpam-5545	674	2	mathematica	mathematica	PROPN
ejpam-5545	674	3	academiae	academiae	PROPN
ejpam-5545	674	4	paedagogicae	paedagogicae	VERB
ejpam-5545	674	5	nyiregyháziensis	nyiregyháziensis	NOUN
ejpam-5545	674	6	,	,	PUNCT
ejpam-5545	674	7	22(3):285–304	22(3):285–304	PROPN
ejpam-5545	674	8	,	,	PUNCT
ejpam-5545	674	9	2006	2006	NUM
ejpam-5545	674	10	.	.	PUNCT
ejpam-5545	675	1	[	[	X
ejpam-5545	675	2	20	20	NUM
ejpam-5545	675	3	]	]	PUNCT
ejpam-5545	675	4	b.	b.	PROPN
ejpam-5545	675	5	a.	a.	PROPN
ejpam-5545	675	6	asaad	asaad	PROPN
ejpam-5545	675	7	.	.	PUNCT
ejpam-5545	676	1	results	result	NOUN
ejpam-5545	676	2	on	on	ADP
ejpam-5545	676	3	soft	soft	ADJ
ejpam-5545	676	4	extremally	extremally	ADV
ejpam-5545	676	5	disconnectedness	disconnectedness	NOUN
ejpam-5545	676	6	of	of	ADP
ejpam-5545	676	7	soft	soft	ADJ
ejpam-5545	676	8	topological	topological	ADJ
ejpam-5545	676	9	spaces	space	NOUN
ejpam-5545	676	10	.	.	PUNCT
ejpam-5545	677	1	j.	j.	PROPN
ejpam-5545	677	2	math	math	PROPN
ejpam-5545	677	3	.	.	PUNCT
ejpam-5545	678	1	comput	comput	NOUN
ejpam-5545	678	2	.	.	PUNCT
ejpam-5545	679	1	sci	sci	PROPN
ejpam-5545	679	2	.	.	PROPN
ejpam-5545	679	3	,	,	PUNCT
ejpam-5545	679	4	17(4):448–464	17(4):448–464	PROPN
ejpam-5545	679	5	,	,	PUNCT
ejpam-5545	679	6	2017	2017	NUM
ejpam-5545	679	7	.	.	PUNCT
ejpam-5545	680	1	[	[	X
ejpam-5545	680	2	21	21	NUM
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ejpam-5545	680	4	m.	m.	PROPN
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ejpam-5545	680	6	,	,	PUNCT
ejpam-5545	680	7	a.	a.	PROPN
ejpam-5545	680	8	m.	m.	PROPN
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ejpam-5545	680	10	,	,	PUNCT
ejpam-5545	680	11	s.-g	s.-g	PROPN
ejpam-5545	680	12	.	.	PUNCT
ejpam-5545	681	1	li	li	PROPN
ejpam-5545	681	2	,	,	PUNCT
ejpam-5545	681	3	a.	a.	PROPN
ejpam-5545	681	4	azzam	azzam	PROPN
ejpam-5545	681	5	,	,	PUNCT
ejpam-5545	681	6	and	and	CCONJ
ejpam-5545	681	7	a.	a.	NOUN
ejpam-5545	681	8	a.	a.	PROPN
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ejpam-5545	681	10	atik	atik	PROPN
ejpam-5545	681	11	.	.	PUNCT
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ejpam-5545	682	2	of	of	ADP
ejpam-5545	682	3	six	six	NUM
ejpam-5545	682	4	types	type	NOUN
ejpam-5545	682	5	of	of	ADP
ejpam-5545	682	6	rough	rough	ADJ
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ejpam-5545	682	8	based	base	VERB
ejpam-5545	682	9	on	on	ADP
ejpam-5545	682	10	j	j	PROPN
ejpam-5545	682	11	-	-	PUNCT
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ejpam-5545	682	13	space	space	NOUN
ejpam-5545	682	14	and	and	CCONJ
ejpam-5545	682	15	j	j	NOUN
ejpam-5545	682	16	-	-	PUNCT
ejpam-5545	682	17	adhesion	adhesion	NOUN
ejpam-5545	682	18	neighborhood	neighborhood	NOUN
ejpam-5545	682	19	space	space	NOUN
ejpam-5545	682	20	.	.	PUNCT
ejpam-5545	683	1	j.	j.	PROPN
ejpam-5545	683	2	intell	intell	PROPN
ejpam-5545	683	3	.	.	PUNCT
ejpam-5545	684	1	fuzzy	fuzzy	ADJ
ejpam-5545	684	2	syst	syst	PROPN
ejpam-5545	684	3	.	.	PUNCT
ejpam-5545	684	4	,	,	PUNCT
ejpam-5545	684	5	39(3):4515–4531	39(3):4515–4531	NUM
ejpam-5545	684	6	,	,	PUNCT
ejpam-5545	684	7	2020	2020	NUM
ejpam-5545	684	8	.	.	PUNCT
ejpam-5545	685	1	[	[	X
ejpam-5545	685	2	22	22	NUM
ejpam-5545	685	3	]	]	PUNCT
ejpam-5545	685	4	a.	a.	NOUN
ejpam-5545	685	5	a.	a.	PROPN
ejpam-5545	685	6	azzam	azzam	PROPN
ejpam-5545	685	7	.	.	PUNCT
ejpam-5545	686	1	comparison	comparison	NOUN
ejpam-5545	686	2	of	of	ADP
ejpam-5545	686	3	two	two	NUM
ejpam-5545	686	4	types	type	NOUN
ejpam-5545	686	5	of	of	ADP
ejpam-5545	686	6	rough	rough	ADJ
ejpam-5545	686	7	approximation	approximation	NOUN
ejpam-5545	686	8	via	via	ADP
ejpam-5545	686	9	grill	grill	NOUN
ejpam-5545	686	10	.	.	PUNCT
ejpam-5545	687	1	italian	italian	ADJ
ejpam-5545	687	2	j.	j.	PROPN
ejpam-5545	687	3	pure	pure	PROPN
ejpam-5545	687	4	appl	appl	PROPN
ejpam-5545	687	5	.	.	PUNCT
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ejpam-5545	687	7	.	.	PUNCT
ejpam-5545	688	1	,	,	PUNCT
ejpam-5545	688	2	47:258–270	47:258–270	NOUN
ejpam-5545	688	3	,	,	PUNCT
ejpam-5545	688	4	2022	2022	NUM
ejpam-5545	688	5	.	.	PUNCT
ejpam-5545	689	1	[	[	X
ejpam-5545	689	2	23	23	NUM
ejpam-5545	689	3	]	]	PUNCT
ejpam-5545	689	4	a.	a.	NOUN
ejpam-5545	689	5	a.	a.	PROPN
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ejpam-5545	689	7	.	.	PUNCT
ejpam-5545	690	1	a	a	DET
ejpam-5545	690	2	topological	topological	ADJ
ejpam-5545	690	3	tool	tool	NOUN
ejpam-5545	690	4	to	to	PART
ejpam-5545	690	5	develop	develop	VERB
ejpam-5545	690	6	novel	novel	ADJ
ejpam-5545	690	7	rough	rough	ADJ
ejpam-5545	690	8	set	set	NOUN
ejpam-5545	690	9	.	.	PUNCT
ejpam-5545	691	1	j.	j.	PROPN
ejpam-5545	691	2	math	math	PROPN
ejpam-5545	691	3	.	.	PUNCT
ejpam-5545	692	1	comput	comput	NOUN
ejpam-5545	692	2	.	.	PUNCT
ejpam-5545	693	1	sci	sci	PROPN
ejpam-5545	693	2	.	.	PROPN
ejpam-5545	693	3	,	,	PUNCT
ejpam-5545	693	4	33(2):204–216	33(2):204–216	NUM
ejpam-5545	693	5	,	,	PUNCT
ejpam-5545	693	6	2024	2024	NUM
ejpam-5545	693	7	.	.	PUNCT
ejpam-5545	694	1	references	reference	NOUN
ejpam-5545	694	2	3768	3768	NUM
ejpam-5545	694	3	[	[	X
ejpam-5545	694	4	24	24	NUM
ejpam-5545	694	5	]	]	PUNCT
ejpam-5545	694	6	a.	a.	NOUN
ejpam-5545	694	7	a.	a.	PROPN
ejpam-5545	694	8	azzam	azzam	PROPN
ejpam-5545	694	9	.	.	PUNCT
ejpam-5545	695	1	a	a	DET
ejpam-5545	695	2	topological	topological	ADJ
ejpam-5545	695	3	tool	tool	NOUN
ejpam-5545	695	4	to	to	PART
ejpam-5545	695	5	develop	develop	VERB
ejpam-5545	695	6	novel	novel	ADJ
ejpam-5545	695	7	rough	rough	ADJ
ejpam-5545	695	8	set	set	NOUN
ejpam-5545	695	9	.	.	PUNCT
ejpam-5545	696	1	j.	j.	PROPN
ejpam-5545	696	2	math	math	PROPN
ejpam-5545	696	3	comput	comput	PROPN
ejpam-5545	696	4	.	.	PUNCT
ejpam-5545	696	5	,	,	PUNCT
ejpam-5545	696	6	32:204–216	32:204–216	NUM
ejpam-5545	696	7	,	,	PUNCT
ejpam-5545	696	8	2024	2024	NUM
ejpam-5545	696	9	.	.	PUNCT
ejpam-5545	697	1	[	[	X
ejpam-5545	697	2	25	25	NUM
ejpam-5545	697	3	]	]	PUNCT
ejpam-5545	697	4	a.	a.	NOUN
ejpam-5545	697	5	a.	a.	PROPN
ejpam-5545	697	6	azzam	azzam	PROPN
ejpam-5545	697	7	.	.	PUNCT
ejpam-5545	698	1	rough	rough	ADJ
ejpam-5545	698	2	neighborhood	neighborhood	NOUN
ejpam-5545	698	3	ideal	ideal	NOUN
ejpam-5545	698	4	and	and	CCONJ
ejpam-5545	698	5	its	its	PRON
ejpam-5545	698	6	applications	application	NOUN
ejpam-5545	698	7	.	.	PUNCT
ejpam-5545	699	1	int	int	NOUN
ejpam-5545	699	2	.	.	PUNCT
ejpam-5545	700	1	j.	j.	PROPN
ejpam-5545	700	2	fuzz	fuzz	PROPN
ejpam-5545	700	3	.	.	PUNCT
ejpam-5545	701	1	log	log	PROPN
ejpam-5545	701	2	.	.	PUNCT
ejpam-5545	702	1	intell	intell	PROPN
ejpam-5545	702	2	,	,	PUNCT
ejpam-5545	702	3	syst	syst	PROPN
ejpam-5545	702	4	.	.	PROPN
ejpam-5545	702	5	,	,	PUNCT
ejpam-5545	702	6	24(1):43–49	24(1):43–49	NUM
ejpam-5545	702	7	,	,	PUNCT
ejpam-5545	702	8	2024	2024	NUM
ejpam-5545	702	9	.	.	PUNCT
ejpam-5545	703	1	[	[	X
ejpam-5545	703	2	26	26	NUM
ejpam-5545	703	3	]	]	X
ejpam-5545	703	4	d.	d.	PROPN
ejpam-5545	703	5	baets	baets	PROPN
ejpam-5545	703	6	,	,	PUNCT
ejpam-5545	703	7	bernard	bernard	NOUN
ejpam-5545	703	8	,	,	PUNCT
ejpam-5545	703	9	and	and	CCONJ
ejpam-5545	703	10	e.	e.	PROPN
ejpam-5545	703	11	kerre	kerre	PROPN
ejpam-5545	703	12	.	.	PUNCT
ejpam-5545	704	1	a	a	DET
ejpam-5545	704	2	revision	revision	NOUN
ejpam-5545	704	3	of	of	ADP
ejpam-5545	704	4	bandler	bandler	NOUN
ejpam-5545	704	5	-	-	PUNCT
ejpam-5545	704	6	kohout	kohout	NOUN
ejpam-5545	704	7	compositions	composition	NOUN
ejpam-5545	704	8	of	of	ADP
ejpam-5545	704	9	relations	relation	NOUN
ejpam-5545	704	10	.	.	PUNCT
ejpam-5545	705	1	mathematica	mathematica	PROPN
ejpam-5545	705	2	pannonica	pannonica	PROPN
ejpam-5545	705	3	,	,	PUNCT
ejpam-5545	705	4	4:59–78	4:59–78	NUM
ejpam-5545	705	5	,	,	PUNCT
ejpam-5545	705	6	1993	1993	NUM
ejpam-5545	705	7	.	.	PUNCT
ejpam-5545	706	1	[	[	X
ejpam-5545	706	2	27	27	NUM
ejpam-5545	706	3	]	]	PUNCT
ejpam-5545	706	4	j.	j.	PROPN
ejpam-5545	706	5	h.	h.	PROPN
ejpam-5545	706	6	dai	dai	PROPN
ejpam-5545	706	7	,	,	PUNCT
ejpam-5545	706	8	s.	s.	PROPN
ejpam-5545	706	9	c.	c.	PROPN
ejpam-5545	706	10	gao	gao	PROPN
ejpam-5545	706	11	,	,	PUNCT
ejpam-5545	706	12	and	and	CCONJ
ejpam-5545	706	13	g.	g.	PROPN
ejpam-5545	706	14	j.	j.	PROPN
ejpam-5545	706	15	zheng	zheng	PROPN
ejpam-5545	706	16	.	.	PUNCT
ejpam-5545	707	1	generalized	generalize	VERB
ejpam-5545	707	2	rough	rough	ADJ
ejpam-5545	707	3	set	set	NOUN
ejpam-5545	707	4	models	model	NOUN
ejpam-5545	707	5	determined	determine	VERB
ejpam-5545	707	6	by	by	ADP
ejpam-5545	707	7	multiple	multiple	ADJ
ejpam-5545	707	8	neighborhoods	neighborhood	NOUN
ejpam-5545	707	9	generated	generate	VERB
ejpam-5545	707	10	from	from	ADP
ejpam-5545	707	11	a	a	DET
ejpam-5545	707	12	similarity	similarity	NOUN
ejpam-5545	707	13	relation	relation	NOUN
ejpam-5545	707	14	.	.	PUNCT
ejpam-5545	708	1	soft	soft	ADJ
ejpam-5545	708	2	comput	comput	NOUN
ejpam-5545	708	3	.	.	PUNCT
ejpam-5545	708	4	,	,	PUNCT
ejpam-5545	708	5	22:2081	22:2081	NUM
ejpam-5545	708	6	–	–	PUNCT
ejpam-5545	708	7	2094	2094	NUM
ejpam-5545	708	8	,	,	PUNCT
ejpam-5545	708	9	2018	2018	NUM
ejpam-5545	708	10	.	.	PUNCT
ejpam-5545	709	1	[	[	X
ejpam-5545	709	2	28	28	NUM
ejpam-5545	709	3	]	]	X
ejpam-5545	709	4	m.	m.	NOUN
ejpam-5545	709	5	k.	k.	PROPN
ejpam-5545	710	1	el	el	PROPN
ejpam-5545	710	2	-	-	PROPN
ejpam-5545	710	3	bably	bably	PROPN
ejpam-5545	710	4	and	and	CCONJ
ejpam-5545	710	5	e.	e.	PROPN
ejpam-5545	710	6	a.	a.	PROPN
ejpam-5545	710	7	abo	abo	PROPN
ejpam-5545	710	8	-	-	PUNCT
ejpam-5545	710	9	tabl	tabl	NOUN
ejpam-5545	710	10	.	.	PUNCT
ejpam-5545	711	1	a	a	DET
ejpam-5545	711	2	topological	topological	ADJ
ejpam-5545	711	3	reduction	reduction	NOUN
ejpam-5545	711	4	for	for	ADP
ejpam-5545	711	5	predicting	predict	VERB
ejpam-5545	711	6	of	of	ADP
ejpam-5545	711	7	a	a	DET
ejpam-5545	711	8	lung	lung	NOUN
ejpam-5545	711	9	cancer	cancer	NOUN
ejpam-5545	711	10	disease	disease	NOUN
ejpam-5545	711	11	based	base	VERB
ejpam-5545	711	12	on	on	ADP
ejpam-5545	711	13	generalized	generalized	ADJ
ejpam-5545	711	14	rough	rough	ADJ
ejpam-5545	711	15	sets	set	NOUN
ejpam-5545	711	16	.	.	PUNCT
ejpam-5545	712	1	j.	j.	PROPN
ejpam-5545	712	2	intell	intell	PROPN
ejpam-5545	712	3	.	.	PUNCT
ejpam-5545	713	1	fuzzy	fuzzy	ADJ
ejpam-5545	713	2	syst	syst	PROPN
ejpam-5545	713	3	.	.	PROPN
ejpam-5545	713	4	,	,	PUNCT
ejpam-5545	713	5	41:3045–3060	41:3045–3060	PROPN
ejpam-5545	713	6	,	,	PUNCT
ejpam-5545	713	7	2021	2021	NUM
ejpam-5545	713	8	.	.	PUNCT
ejpam-5545	714	1	[	[	X
ejpam-5545	714	2	29	29	NUM
ejpam-5545	714	3	]	]	PUNCT
ejpam-5545	714	4	m.	m.	NOUN
ejpam-5545	714	5	k.	k.	PROPN
ejpam-5545	715	1	el	el	PROPN
ejpam-5545	715	2	-	-	PROPN
ejpam-5545	715	3	bably	bably	PROPN
ejpam-5545	715	4	,	,	PUNCT
ejpam-5545	715	5	r.	r.	PROPN
ejpam-5545	715	6	abu	abu	PROPN
ejpam-5545	715	7	-	-	PUNCT
ejpam-5545	715	8	gdairi	gdairi	PROPN
ejpam-5545	715	9	,	,	PUNCT
ejpam-5545	715	10	and	and	CCONJ
ejpam-5545	715	11	m.	m.	PROPN
ejpam-5545	715	12	a.	a.	PROPN
ejpam-5545	715	13	el	el	PROPN
ejpam-5545	715	14	-	-	PROPN
ejpam-5545	715	15	gayar	gayar	NOUN
ejpam-5545	715	16	.	.	PUNCT
ejpam-5545	716	1	medical	medical	ADJ
ejpam-5545	716	2	diagnosis	diagnosis	NOUN
ejpam-5545	716	3	for	for	ADP
ejpam-5545	716	4	the	the	DET
ejpam-5545	716	5	problem	problem	NOUN
ejpam-5545	716	6	of	of	ADP
ejpam-5545	716	7	chikungunya	chikungunya	NOUN
ejpam-5545	716	8	disease	disease	NOUN
ejpam-5545	716	9	using	use	VERB
ejpam-5545	716	10	soft	soft	ADJ
ejpam-5545	716	11	rough	rough	ADJ
ejpam-5545	716	12	sets	set	NOUN
ejpam-5545	716	13	.	.	PUNCT
ejpam-5545	717	1	aims	aim	VERB
ejpam-5545	717	2	mathematics	mathematic	NOUN
ejpam-5545	717	3	.	.	PUNCT
ejpam-5545	717	4	,	,	PUNCT
ejpam-5545	717	5	8:9082	8:9082	NUM
ejpam-5545	717	6	–	–	PUNCT
ejpam-5545	717	7	9105	9105	NUM
ejpam-5545	717	8	,	,	PUNCT
ejpam-5545	717	9	2023	2023	NUM
ejpam-5545	717	10	.	.	PUNCT
ejpam-5545	718	1	[	[	X
ejpam-5545	718	2	30	30	NUM
ejpam-5545	718	3	]	]	PUNCT
ejpam-5545	718	4	m.	m.	NOUN
ejpam-5545	718	5	k.	k.	PROPN
ejpam-5545	719	1	el	el	PROPN
ejpam-5545	719	2	-	-	PROPN
ejpam-5545	719	3	bably	bably	PROPN
ejpam-5545	719	4	and	and	CCONJ
ejpam-5545	719	5	t.	t.	PROPN
ejpam-5545	719	6	m.	m.	PROPN
ejpam-5545	719	7	al	al	PROPN
ejpam-5545	719	8	-	-	PUNCT
ejpam-5545	719	9	shami	shami	PROPN
ejpam-5545	719	10	.	.	PUNCT
ejpam-5545	720	1	different	different	ADJ
ejpam-5545	720	2	kinds	kind	NOUN
ejpam-5545	720	3	of	of	ADP
ejpam-5545	720	4	generalized	generalized	ADJ
ejpam-5545	720	5	rough	rough	ADJ
ejpam-5545	720	6	sets	set	NOUN
ejpam-5545	720	7	based	base	VERB
ejpam-5545	720	8	on	on	ADP
ejpam-5545	720	9	neighborhoods	neighborhood	NOUN
ejpam-5545	720	10	with	with	ADP
ejpam-5545	720	11	a	a	DET
ejpam-5545	720	12	medical	medical	ADJ
ejpam-5545	720	13	application	application	NOUN
ejpam-5545	720	14	.	.	PUNCT
ejpam-5545	721	1	int	int	NOUN
ejpam-5545	721	2	.	.	PUNCT
ejpam-5545	722	1	j.	j.	PROPN
ejpam-5545	722	2	biomath	biomath	PROPN
ejpam-5545	722	3	.	.	PUNCT
ejpam-5545	722	4	,	,	PUNCT
ejpam-5545	722	5	14	14	NUM
ejpam-5545	722	6	,	,	PUNCT
ejpam-5545	722	7	2021	2021	NUM
ejpam-5545	722	8	.	.	PUNCT
ejpam-5545	723	1	https://doi.org/10.1142/s1793524521500868	https://doi.org/10.1142/s1793524521500868	VERB
ejpam-5545	723	2	.	.	PUNCT
ejpam-5545	724	1	[	[	X
ejpam-5545	724	2	31	31	NUM
ejpam-5545	724	3	]	]	PUNCT
ejpam-5545	724	4	m.	m.	NOUN
ejpam-5545	724	5	k.	k.	PROPN
ejpam-5545	725	1	el	el	PROPN
ejpam-5545	725	2	-	-	PROPN
ejpam-5545	725	3	bably	bably	ADV
ejpam-5545	725	4	,	,	PUNCT
ejpam-5545	725	5	t.	t.	PROPN
ejpam-5545	725	6	m.	m.	PROPN
ejpam-5545	725	7	al	al	PROPN
ejpam-5545	725	8	-	-	PUNCT
ejpam-5545	725	9	shami	shami	PROPN
ejpam-5545	725	10	,	,	PUNCT
ejpam-5545	725	11	a.	a.	PROPN
ejpam-5545	725	12	s.	s.	PROPN
ejpam-5545	725	13	nawar	nawar	PROPN
ejpam-5545	725	14	,	,	PUNCT
ejpam-5545	725	15	and	and	CCONJ
ejpam-5545	725	16	a.	a.	NOUN
ejpam-5545	725	17	mhemdi	mhemdi	PROPN
ejpam-5545	725	18	.	.	PUNCT
ejpam-5545	726	1	corrigendum	corrigendum	NOUN
ejpam-5545	726	2	to	to	PART
ejpam-5545	726	3	“	"	PUNCT
ejpam-5545	726	4	comparison	comparison	NOUN
ejpam-5545	726	5	of	of	ADP
ejpam-5545	726	6	six	six	NUM
ejpam-5545	726	7	types	type	NOUN
ejpam-5545	726	8	of	of	ADP
ejpam-5545	726	9	rough	rough	ADJ
ejpam-5545	726	10	approximations	approximation	NOUN
ejpam-5545	726	11	based	base	VERB
ejpam-5545	726	12	on	on	ADP
ejpam-5545	726	13	j	j	PROPN
ejpam-5545	726	14	-	-	PUNCT
ejpam-5545	726	15	neighborhood	neighborhood	NOUN
ejpam-5545	726	16	space	space	NOUN
ejpam-5545	726	17	and	and	CCONJ
ejpam-5545	726	18	j	j	NOUN
ejpam-5545	726	19	-	-	PUNCT
ejpam-5545	726	20	adhesion	adhesion	NOUN
ejpam-5545	726	21	neighborhood	neighborhood	NOUN
ejpam-5545	726	22	space	space	NOUN
ejpam-5545	726	23	.	.	PUNCT
ejpam-5545	727	1	j.	j.	PROPN
ejpam-5545	727	2	intell	intell	PROPN
ejpam-5545	727	3	.	.	PUNCT
ejpam-5545	728	1	fuzzy	fuzzy	ADJ
ejpam-5545	728	2	syst	syst	PROPN
ejpam-5545	728	3	.	.	PUNCT
ejpam-5545	728	4	,	,	PUNCT
ejpam-5545	728	5	41(6):7353–7361	41(6):7353–7361	NUM
ejpam-5545	728	6	,	,	PUNCT
ejpam-5545	728	7	2021	2021	NUM
ejpam-5545	728	8	.	.	PUNCT
ejpam-5545	729	1	[	[	X
ejpam-5545	729	2	32	32	NUM
ejpam-5545	729	3	]	]	PUNCT
ejpam-5545	729	4	m.	m.	NOUN
ejpam-5545	729	5	k.	k.	PROPN
ejpam-5545	730	1	el	el	PROPN
ejpam-5545	730	2	-	-	PROPN
ejpam-5545	730	3	bably	bably	ADV
ejpam-5545	730	4	,	,	PUNCT
ejpam-5545	730	5	m.	m.	NOUN
ejpam-5545	730	6	i.	i.	PROPN
ejpam-5545	730	7	ali	ali	PROPN
ejpam-5545	730	8	,	,	PUNCT
ejpam-5545	730	9	and	and	CCONJ
ejpam-5545	730	10	e.	e.	PROPN
ejpam-5545	730	11	a.	a.	PROPN
ejpam-5545	730	12	abo	abo	PROPN
ejpam-5545	730	13	-	-	PUNCT
ejpam-5545	730	14	tabl	tabl	NOUN
ejpam-5545	730	15	.	.	PUNCT
ejpam-5545	731	1	new	new	ADJ
ejpam-5545	731	2	topological	topological	ADJ
ejpam-5545	731	3	approaches	approach	NOUN
ejpam-5545	731	4	to	to	ADP
ejpam-5545	731	5	generalized	generalize	VERB
ejpam-5545	731	6	soft	soft	ADJ
ejpam-5545	731	7	rough	rough	ADJ
ejpam-5545	731	8	approximations	approximation	NOUN
ejpam-5545	731	9	with	with	ADP
ejpam-5545	731	10	medical	medical	ADJ
ejpam-5545	731	11	applications	application	NOUN
ejpam-5545	731	12	.	.	PUNCT
ejpam-5545	732	1	j.	j.	PROPN
ejpam-5545	732	2	math	math	PROPN
ejpam-5545	732	3	.	.	PROPN
ejpam-5545	732	4	,	,	PUNCT
ejpam-5545	732	5	2021	2021	NUM
ejpam-5545	732	6	,	,	PUNCT
ejpam-5545	732	7	2021	2021	NUM
ejpam-5545	732	8	.	.	PUNCT
ejpam-5545	733	1	https://doi.org/10.1155/2021/2559495	https://doi.org/10.1155/2021/2559495	PROPN
ejpam-5545	733	2	.	.	PUNCT
ejpam-5545	734	1	[	[	X
ejpam-5545	734	2	33	33	NUM
ejpam-5545	734	3	]	]	PUNCT
ejpam-5545	734	4	m.	m.	NOUN
ejpam-5545	734	5	k.	k.	PROPN
ejpam-5545	735	1	el	el	PROPN
ejpam-5545	735	2	-	-	PROPN
ejpam-5545	735	3	bably	bably	PROPN
ejpam-5545	735	4	and	and	CCONJ
ejpam-5545	735	5	a.	a.	NOUN
ejpam-5545	735	6	a.	a.	PROPN
ejpam-5545	735	7	el	el	PROPN
ejpam-5545	735	8	atik	atik	PROPN
ejpam-5545	735	9	.	.	PUNCT
ejpam-5545	736	1	soft	soft	ADJ
ejpam-5545	736	2	β	β	NOUN
ejpam-5545	736	3	-	-	ADJ
ejpam-5545	736	4	rough	rough	ADJ
ejpam-5545	736	5	sets	set	NOUN
ejpam-5545	736	6	and	and	CCONJ
ejpam-5545	736	7	their	their	PRON
ejpam-5545	736	8	application	application	NOUN
ejpam-5545	736	9	to	to	PART
ejpam-5545	736	10	determine	determine	VERB
ejpam-5545	736	11	covid-19	covid-19	PROPN
ejpam-5545	736	12	.	.	PROPN
ejpam-5545	736	13	turk	turk	PROPN
ejpam-5545	736	14	.	.	PUNCT
ejpam-5545	737	1	j.	j.	PROPN
ejpam-5545	737	2	math	math	PROPN
ejpam-5545	737	3	.	.	PUNCT
ejpam-5545	737	4	,	,	PUNCT
ejpam-5545	737	5	45(3):1133–1148	45(3):1133–1148	NUM
ejpam-5545	737	6	,	,	PUNCT
ejpam-5545	737	7	2021	2021	NUM
ejpam-5545	737	8	.	.	PUNCT
ejpam-5545	738	1	[	[	X
ejpam-5545	738	2	34	34	NUM
ejpam-5545	738	3	]	]	PUNCT
ejpam-5545	738	4	m.	m.	NOUN
ejpam-5545	738	5	k.	k.	PROPN
ejpam-5545	739	1	el	el	PROPN
ejpam-5545	739	2	-	-	PROPN
ejpam-5545	739	3	bably	bably	PROPN
ejpam-5545	739	4	and	and	CCONJ
ejpam-5545	739	5	m.	m.	NOUN
ejpam-5545	739	6	el	el	PROPN
ejpam-5545	739	7	-	-	PUNCT
ejpam-5545	739	8	sayed	say	VERB
ejpam-5545	739	9	.	.	PUNCT
ejpam-5545	740	1	three	three	NUM
ejpam-5545	740	2	methods	method	NOUN
ejpam-5545	740	3	to	to	PART
ejpam-5545	740	4	generalize	generalize	VERB
ejpam-5545	740	5	pawlak	pawlak	ADJ
ejpam-5545	740	6	approximations	approximation	NOUN
ejpam-5545	740	7	via	via	ADP
ejpam-5545	740	8	simply	simply	ADV
ejpam-5545	740	9	open	open	ADJ
ejpam-5545	740	10	concepts	concept	NOUN
ejpam-5545	740	11	with	with	ADP
ejpam-5545	740	12	economic	economic	ADJ
ejpam-5545	740	13	applications	application	NOUN
ejpam-5545	740	14	.	.	PUNCT
ejpam-5545	741	1	soft	soft	ADJ
ejpam-5545	741	2	comput	comput	NOUN
ejpam-5545	741	3	.	.	PUNCT
ejpam-5545	742	1	,	,	PUNCT
ejpam-5545	742	2	26:4685	26:4685	NUM
ejpam-5545	742	3	–	–	PUNCT
ejpam-5545	742	4	4700	4700	NUM
ejpam-5545	742	5	,	,	PUNCT
ejpam-5545	742	6	2022	2022	NUM
ejpam-5545	742	7	.	.	PUNCT
ejpam-5545	743	1	[	[	X
ejpam-5545	743	2	35	35	NUM
ejpam-5545	743	3	]	]	PUNCT
ejpam-5545	743	4	m.	m.	NOUN
ejpam-5545	743	5	a.	a.	PROPN
ejpam-5545	743	6	el	el	PROPN
ejpam-5545	743	7	-	-	PROPN
ejpam-5545	743	8	gayar	gayar	PROPN
ejpam-5545	743	9	and	and	CCONJ
ejpam-5545	743	10	r.	r.	PROPN
ejpam-5545	743	11	abu	abu	PROPN
ejpam-5545	743	12	-	-	PUNCT
ejpam-5545	743	13	gdairi	gdairi	PROPN
ejpam-5545	743	14	.	.	PUNCT
ejpam-5545	744	1	extension	extension	NOUN
ejpam-5545	744	2	of	of	ADP
ejpam-5545	744	3	topological	topological	ADJ
ejpam-5545	744	4	structures	structure	NOUN
ejpam-5545	744	5	using	use	VERB
ejpam-5545	744	6	lattices	lattice	NOUN
ejpam-5545	744	7	and	and	CCONJ
ejpam-5545	744	8	rough	rough	ADJ
ejpam-5545	744	9	sets	set	NOUN
ejpam-5545	744	10	.	.	PUNCT
ejpam-5545	745	1	aims	aim	VERB
ejpam-5545	745	2	mathematics	mathematic	NOUN
ejpam-5545	745	3	.	.	PUNCT
ejpam-5545	745	4	,	,	PUNCT
ejpam-5545	745	5	9(3):7552–7569	9(3):7552–7569	NUM
ejpam-5545	745	6	,	,	PUNCT
ejpam-5545	745	7	2024	2024	NUM
ejpam-5545	745	8	.	.	PUNCT
ejpam-5545	746	1	[	[	X
ejpam-5545	746	2	36	36	NUM
ejpam-5545	746	3	]	]	PUNCT
ejpam-5545	746	4	m.	m.	NOUN
ejpam-5545	746	5	a.	a.	PROPN
ejpam-5545	746	6	el	el	PROPN
ejpam-5545	746	7	-	-	PROPN
ejpam-5545	746	8	gayar	gayar	PROPN
ejpam-5545	746	9	,	,	PUNCT
ejpam-5545	746	10	r.	r.	PROPN
ejpam-5545	746	11	abu	abu	PROPN
ejpam-5545	746	12	-	-	PUNCT
ejpam-5545	746	13	gdairi	gdairi	PROPN
ejpam-5545	746	14	,	,	PUNCT
ejpam-5545	746	15	m.	m.	PROPN
ejpam-5545	746	16	k.	k.	PROPN
ejpam-5545	747	1	el	el	PROPN
ejpam-5545	747	2	-	-	PROPN
ejpam-5545	747	3	bably	bably	ADV
ejpam-5545	747	4	,	,	PUNCT
ejpam-5545	747	5	and	and	CCONJ
ejpam-5545	747	6	d.	d.	PROPN
ejpam-5545	747	7	i.	i.	PROPN
ejpam-5545	747	8	taher	taher	PROPN
ejpam-5545	747	9	.	.	PUNCT
ejpam-5545	748	1	economic	economic	ADJ
ejpam-5545	748	2	decision	decision	NOUN
ejpam-5545	748	3	-	-	PUNCT
ejpam-5545	748	4	making	making	NOUN
ejpam-5545	748	5	using	use	VERB
ejpam-5545	748	6	rough	rough	ADJ
ejpam-5545	748	7	topological	topological	ADJ
ejpam-5545	748	8	structures	structure	NOUN
ejpam-5545	748	9	.	.	PUNCT
ejpam-5545	749	1	j.	j.	PROPN
ejpam-5545	749	2	math	math	PROPN
ejpam-5545	749	3	.	.	PROPN
ejpam-5545	749	4	,	,	PUNCT
ejpam-5545	749	5	2023	2023	NUM
ejpam-5545	749	6	,	,	PUNCT
ejpam-5545	749	7	2023	2023	NUM
ejpam-5545	749	8	.	.	PUNCT
ejpam-5545	750	1	https://doi.org/10.1155/2023/4723233	https://doi.org/10.1155/2023/4723233	PROPN
ejpam-5545	750	2	.	.	PUNCT
ejpam-5545	751	1	references	reference	NOUN
ejpam-5545	751	2	3769	3769	NUM
ejpam-5545	752	1	[	[	X
ejpam-5545	752	2	37	37	NUM
ejpam-5545	752	3	]	]	PUNCT
ejpam-5545	752	4	m.	m.	NOUN
ejpam-5545	752	5	a.	a.	PROPN
ejpam-5545	752	6	el	el	PROPN
ejpam-5545	752	7	-	-	PROPN
ejpam-5545	752	8	gayar	gayar	PROPN
ejpam-5545	752	9	and	and	CCONJ
ejpam-5545	752	10	a.	a.	PROPN
ejpam-5545	752	11	el	el	PROPN
ejpam-5545	752	12	atik	atik	PROPN
ejpam-5545	752	13	.	.	PUNCT
ejpam-5545	753	1	topological	topological	ADJ
ejpam-5545	753	2	models	model	NOUN
ejpam-5545	753	3	of	of	ADP
ejpam-5545	753	4	rough	rough	ADJ
ejpam-5545	753	5	sets	set	NOUN
ejpam-5545	753	6	and	and	CCONJ
ejpam-5545	753	7	decision	decision	NOUN
ejpam-5545	753	8	making	making	NOUN
ejpam-5545	753	9	of	of	ADP
ejpam-5545	753	10	covid-19	covid-19	PROPN
ejpam-5545	753	11	.	.	PUNCT
ejpam-5545	753	12	complexity	complexity	NOUN
ejpam-5545	753	13	.	.	PUNCT
ejpam-5545	753	14	,	,	PUNCT
ejpam-5545	753	15	2022	2022	NUM
ejpam-5545	753	16	,	,	PUNCT
ejpam-5545	753	17	2022	2022	NUM
ejpam-5545	753	18	.	.	PUNCT
ejpam-5545	754	1	https://doi.org/10.1155/2022/2989236	https://doi.org/10.1155/2022/2989236	PROPN
ejpam-5545	754	2	.	.	PUNCT
ejpam-5545	755	1	[	[	X
ejpam-5545	755	2	38	38	NUM
ejpam-5545	755	3	]	]	PUNCT
ejpam-5545	755	4	m.	m.	NOUN
ejpam-5545	755	5	e.	e.	PROPN
ejpam-5545	755	6	abd	abd	PROPN
ejpam-5545	756	1	el	el	PROPN
ejpam-5545	756	2	-	-	PUNCT
ejpam-5545	756	3	monsef	monsef	ADJ
ejpam-5545	756	4	,	,	PUNCT
ejpam-5545	756	5	m.	m.	NOUN
ejpam-5545	756	6	a.	a.	PROPN
ejpam-5545	756	7	el	el	PROPN
ejpam-5545	756	8	-	-	PROPN
ejpam-5545	756	9	gayar	gayar	NOUN
ejpam-5545	756	10	,	,	PUNCT
ejpam-5545	756	11	and	and	CCONJ
ejpam-5545	756	12	r.	r.	PROPN
ejpam-5545	756	13	m.	m.	PROPN
ejpam-5545	756	14	aqeel	aqeel	PROPN
ejpam-5545	756	15	.	.	PUNCT
ejpam-5545	757	1	on	on	ADP
ejpam-5545	757	2	relationships	relationship	NOUN
ejpam-5545	757	3	between	between	ADP
ejpam-5545	757	4	revised	revise	VERB
ejpam-5545	757	5	rough	rough	ADJ
ejpam-5545	757	6	fuzzy	fuzzy	ADJ
ejpam-5545	757	7	approximation	approximation	NOUN
ejpam-5545	757	8	operators	operator	NOUN
ejpam-5545	757	9	and	and	CCONJ
ejpam-5545	757	10	fuzzy	fuzzy	ADJ
ejpam-5545	757	11	topological	topological	ADJ
ejpam-5545	757	12	spaces	space	NOUN
ejpam-5545	757	13	.	.	PUNCT
ejpam-5545	758	1	int	int	NOUN
ejpam-5545	758	2	.	.	PUNCT
ejpam-5545	759	1	j.	j.	PROPN
ejpam-5545	759	2	granul	granul	PROPN
ejpam-5545	759	3	.	.	PUNCT
ejpam-5545	760	1	comput	comput	NOUN
ejpam-5545	760	2	.	.	PUNCT
ejpam-5545	761	1	rough	rough	ADJ
ejpam-5545	761	2	sets	set	NOUN
ejpam-5545	761	3	intell	intell	PROPN
ejpam-5545	761	4	.	.	PUNCT
ejpam-5545	762	1	syst	syst	PROPN
ejpam-5545	762	2	.	.	PUNCT
ejpam-5545	762	3	,	,	PUNCT
ejpam-5545	762	4	3:257–271	3:257–271	NUM
ejpam-5545	762	5	,	,	PUNCT
ejpam-5545	762	6	2014	2014	NUM
ejpam-5545	762	7	.	.	PUNCT
ejpam-5545	763	1	[	[	X
ejpam-5545	763	2	39	39	NUM
ejpam-5545	763	3	]	]	PUNCT
ejpam-5545	763	4	m.	m.	NOUN
ejpam-5545	763	5	e.	e.	PROPN
ejpam-5545	763	6	abd	abd	PROPN
ejpam-5545	763	7	el	el	PROPN
ejpam-5545	763	8	-	-	PUNCT
ejpam-5545	763	9	monsef	monsef	ADJ
ejpam-5545	763	10	,	,	PUNCT
ejpam-5545	763	11	m.	m.	NOUN
ejpam-5545	763	12	a.	a.	PROPN
ejpam-5545	763	13	el	el	PROPN
ejpam-5545	763	14	-	-	PROPN
ejpam-5545	763	15	gayar	gayar	NOUN
ejpam-5545	763	16	,	,	PUNCT
ejpam-5545	763	17	and	and	CCONJ
ejpam-5545	763	18	r.	r.	PROPN
ejpam-5545	763	19	m.	m.	PROPN
ejpam-5545	763	20	aqeel	aqeel	PROPN
ejpam-5545	763	21	.	.	PUNCT
ejpam-5545	764	1	a	a	DET
ejpam-5545	764	2	comparison	comparison	NOUN
ejpam-5545	764	3	of	of	ADP
ejpam-5545	764	4	three	three	NUM
ejpam-5545	764	5	types	type	NOUN
ejpam-5545	764	6	of	of	ADP
ejpam-5545	764	7	rough	rough	ADJ
ejpam-5545	764	8	fuzzy	fuzzy	ADJ
ejpam-5545	764	9	sets	set	NOUN
ejpam-5545	764	10	based	base	VERB
ejpam-5545	764	11	on	on	ADP
ejpam-5545	764	12	two	two	NUM
ejpam-5545	764	13	universal	universal	ADJ
ejpam-5545	764	14	sets	set	NOUN
ejpam-5545	764	15	.	.	PUNCT
ejpam-5545	765	1	int	int	NOUN
ejpam-5545	765	2	.	.	PUNCT
ejpam-5545	766	1	j.	j.	PROPN
ejpam-5545	766	2	mach	mach	PROPN
ejpam-5545	766	3	.	.	PUNCT
ejpam-5545	767	1	learn	learn	PROPN
ejpam-5545	767	2	.	.	PUNCT
ejpam-5545	767	3	&	&	CCONJ
ejpam-5545	767	4	cyber	cyber	PROPN
ejpam-5545	767	5	.	.	PROPN
ejpam-5545	767	6	,	,	PUNCT
ejpam-5545	767	7	8:343–353	8:343–353	NUM
ejpam-5545	767	8	,	,	PUNCT
ejpam-5545	767	9	2017	2017	NUM
ejpam-5545	767	10	.	.	PUNCT
ejpam-5545	768	1	[	[	X
ejpam-5545	768	2	40	40	NUM
ejpam-5545	768	3	]	]	PUNCT
ejpam-5545	768	4	m.	m.	PROPN
ejpam-5545	768	5	e.	e.	PROPN
ejpam-5545	768	6	abd	abd	PROPN
ejpam-5545	768	7	el	el	PROPN
ejpam-5545	768	8	-	-	PROPN
ejpam-5545	768	9	monsef	monsef	ADJ
ejpam-5545	768	10	,	,	PUNCT
ejpam-5545	768	11	o.	o.	PROPN
ejpam-5545	768	12	a.	a.	NOUN
ejpam-5545	768	13	embaby	embaby	PROPN
ejpam-5545	768	14	,	,	PUNCT
ejpam-5545	768	15	and	and	CCONJ
ejpam-5545	768	16	m.	m.	PROPN
ejpam-5545	768	17	k.	k.	PROPN
ejpam-5545	769	1	el	el	PROPN
ejpam-5545	769	2	-	-	PROPN
ejpam-5545	769	3	bably	bably	ADV
ejpam-5545	769	4	.	.	PUNCT
ejpam-5545	770	1	comparison	comparison	NOUN
ejpam-5545	770	2	between	between	ADP
ejpam-5545	770	3	rough	rough	ADJ
ejpam-5545	770	4	set	set	VERB
ejpam-5545	770	5	approximations	approximation	NOUN
ejpam-5545	770	6	based	base	VERB
ejpam-5545	770	7	on	on	ADP
ejpam-5545	770	8	different	different	ADJ
ejpam-5545	770	9	topologies	topology	NOUN
ejpam-5545	770	10	.	.	PUNCT
ejpam-5545	771	1	int	int	NOUN
ejpam-5545	771	2	.	.	PUNCT
ejpam-5545	772	1	j.	j.	PROPN
ejpam-5545	772	2	granul	granul	PROPN
ejpam-5545	772	3	.	.	PUNCT
ejpam-5545	773	1	comput	comput	NOUN
ejpam-5545	773	2	.	.	PUNCT
ejpam-5545	774	1	rough	rough	ADJ
ejpam-5545	774	2	sets	set	NOUN
ejpam-5545	774	3	intell	intell	PROPN
ejpam-5545	774	4	.	.	PUNCT
ejpam-5545	775	1	syst	syst	PROPN
ejpam-5545	775	2	.	.	PROPN
ejpam-5545	775	3	,	,	PUNCT
ejpam-5545	775	4	3:292–305	3:292–305	NUM
ejpam-5545	775	5	,	,	PUNCT
ejpam-5545	775	6	2014	2014	NUM
ejpam-5545	775	7	.	.	PUNCT
ejpam-5545	776	1	[	[	X
ejpam-5545	776	2	41	41	NUM
ejpam-5545	776	3	]	]	PUNCT
ejpam-5545	776	4	m.	m.	NOUN
ejpam-5545	776	5	e.	e.	PROPN
ejpam-5545	776	6	abd	abd	PROPN
ejpam-5545	777	1	el	el	PROPN
ejpam-5545	777	2	-	-	PROPN
ejpam-5545	777	3	monsef	monsef	ADJ
ejpam-5545	777	4	,	,	PUNCT
ejpam-5545	777	5	a.	a.	NOUN
ejpam-5545	777	6	m.	m.	NOUN
ejpam-5545	777	7	kozae	kozae	PROPN
ejpam-5545	777	8	,	,	PUNCT
ejpam-5545	777	9	and	and	CCONJ
ejpam-5545	778	1	m.	m.	PROPN
ejpam-5545	778	2	k.	k.	PROPN
ejpam-5545	778	3	el	el	PROPN
ejpam-5545	778	4	-	-	PROPN
ejpam-5545	778	5	bably	bably	ADV
ejpam-5545	778	6	.	.	PUNCT
ejpam-5545	779	1	on	on	ADP
ejpam-5545	779	2	generalizing	generalize	VERB
ejpam-5545	779	3	covering	cover	VERB
ejpam-5545	779	4	approximation	approximation	NOUN
ejpam-5545	779	5	space	space	NOUN
ejpam-5545	779	6	.	.	PUNCT
ejpam-5545	780	1	j.	j.	PROPN
ejpam-5545	780	2	egypt	egypt	PROPN
ejpam-5545	780	3	math	math	PROPN
ejpam-5545	780	4	.	.	PUNCT
ejpam-5545	781	1	soc	soc	PROPN
ejpam-5545	781	2	.	.	PUNCT
ejpam-5545	781	3	,	,	PUNCT
ejpam-5545	781	4	23(3):535–545	23(3):535–545	NOUN
ejpam-5545	781	5	,	,	PUNCT
ejpam-5545	781	6	2015	2015	NUM
ejpam-5545	781	7	.	.	PUNCT
ejpam-5545	782	1	[	[	X
ejpam-5545	782	2	42	42	NUM
ejpam-5545	782	3	]	]	PUNCT
ejpam-5545	782	4	m.	m.	PROPN
ejpam-5545	782	5	e.	e.	PROPN
ejpam-5545	782	6	abd	abd	PROPN
ejpam-5545	783	1	el	el	PROPN
ejpam-5545	783	2	-	-	PROPN
ejpam-5545	783	3	monsef	monsef	ADJ
ejpam-5545	783	4	,	,	PUNCT
ejpam-5545	783	5	a.	a.	NOUN
ejpam-5545	783	6	m.	m.	NOUN
ejpam-5545	783	7	kozae	kozae	PROPN
ejpam-5545	783	8	,	,	PUNCT
ejpam-5545	783	9	and	and	CCONJ
ejpam-5545	784	1	m.	m.	PROPN
ejpam-5545	784	2	k.	k.	PROPN
ejpam-5545	784	3	el	el	PROPN
ejpam-5545	784	4	-	-	PROPN
ejpam-5545	784	5	bably	bably	ADV
ejpam-5545	784	6	.	.	PUNCT
ejpam-5545	785	1	generalized	generalize	VERB
ejpam-5545	785	2	covering	cover	VERB
ejpam-5545	785	3	approximation	approximation	NOUN
ejpam-5545	785	4	space	space	NOUN
ejpam-5545	785	5	and	and	CCONJ
ejpam-5545	785	6	near	near	ADP
ejpam-5545	785	7	concepts	concept	NOUN
ejpam-5545	785	8	with	with	ADP
ejpam-5545	785	9	some	some	DET
ejpam-5545	785	10	applications	application	NOUN
ejpam-5545	785	11	.	.	PUNCT
ejpam-5545	786	1	appl	appl	PROPN
ejpam-5545	786	2	.	.	PUNCT
ejpam-5545	787	1	comput	comput	NOUN
ejpam-5545	787	2	.	.	PUNCT
ejpam-5545	788	1	inform	inform	NOUN
ejpam-5545	788	2	.	.	PUNCT
ejpam-5545	788	3	,	,	PUNCT
ejpam-5545	788	4	12(1):51–69	12(1):51–69	NUM
ejpam-5545	788	5	,	,	PUNCT
ejpam-5545	788	6	2016	2016	NUM
ejpam-5545	788	7	.	.	PUNCT
ejpam-5545	789	1	[	[	X
ejpam-5545	789	2	43	43	NUM
ejpam-5545	789	3	]	]	X
ejpam-5545	789	4	r.	r.	PROPN
ejpam-5545	789	5	b.	b.	PROPN
ejpam-5545	789	6	esmaeel	esmaeel	PROPN
ejpam-5545	789	7	and	and	CCONJ
ejpam-5545	789	8	m.	m.	NOUN
ejpam-5545	789	9	o.	o.	PROPN
ejpam-5545	789	10	mustafa	mustafa	PROPN
ejpam-5545	789	11	.	.	PUNCT
ejpam-5545	790	1	on	on	ADP
ejpam-5545	790	2	nano	nano	NOUN
ejpam-5545	790	3	topological	topological	ADJ
ejpam-5545	790	4	spaces	space	NOUN
ejpam-5545	790	5	with	with	ADP
ejpam-5545	790	6	grill	grill	ADV
ejpam-5545	790	7	-	-	PUNCT
ejpam-5545	790	8	generalized	generalize	VERB
ejpam-5545	790	9	open	open	ADJ
ejpam-5545	790	10	and	and	CCONJ
ejpam-5545	790	11	closed	closed	ADJ
ejpam-5545	790	12	sets	set	NOUN
ejpam-5545	790	13	.	.	PUNCT
ejpam-5545	791	1	in	in	ADP
ejpam-5545	791	2	aip	aip	PROPN
ejpam-5545	791	3	conf	conf	PROPN
ejpam-5545	791	4	.	.	PUNCT
ejpam-5545	792	1	proc	proc	PROPN
ejpam-5545	792	2	.	.	PROPN
ejpam-5545	792	3	,	,	PUNCT
ejpam-5545	792	4	page	page	NOUN
ejpam-5545	792	5	2414	2414	NUM
ejpam-5545	792	6	,	,	PUNCT
ejpam-5545	792	7	aip	aip	PROPN
ejpam-5545	792	8	conf	conf	PROPN
ejpam-5545	792	9	.	.	PUNCT
ejpam-5545	793	1	proc	proc	PROPN
ejpam-5545	793	2	.	.	PROPN
ejpam-5545	793	3	,	,	PUNCT
ejpam-5545	793	4	2023	2023	NUM
ejpam-5545	793	5	.	.	PUNCT
ejpam-5545	794	1	aip	aip	PROPN
ejpam-5545	794	2	conf	conf	PROPN
ejpam-5545	794	3	.	.	PUNCT
ejpam-5545	795	1	proc	proc	PROPN
ejpam-5545	795	2	.	.	PUNCT
ejpam-5545	796	1	https://doi.org/10.1063/5.0117062	https://doi.org/10.1063/5.0117062	X
ejpam-5545	796	2	.	.	PUNCT
ejpam-5545	797	1	[	[	X
ejpam-5545	797	2	44	44	NUM
ejpam-5545	797	3	]	]	PUNCT
ejpam-5545	797	4	r.	r.	PROPN
ejpam-5545	797	5	b.	b.	PROPN
ejpam-5545	797	6	esmaeel	esmaeel	PROPN
ejpam-5545	797	7	and	and	CCONJ
ejpam-5545	797	8	n.	n.	PROPN
ejpam-5545	797	9	m.	m.	NOUN
ejpam-5545	797	10	shahadhuh	shahadhuh	PROPN
ejpam-5545	797	11	.	.	PUNCT
ejpam-5545	798	1	on	on	ADP
ejpam-5545	798	2	nano	nano	NOUN
ejpam-5545	798	3	topological	topological	ADJ
ejpam-5545	798	4	spaces	space	NOUN
ejpam-5545	798	5	with	with	ADP
ejpam-5545	798	6	grill	grill	ADV
ejpam-5545	798	7	-	-	PUNCT
ejpam-5545	798	8	generalized	generalize	VERB
ejpam-5545	798	9	open	open	ADJ
ejpam-5545	798	10	and	and	CCONJ
ejpam-5545	798	11	closed	closed	ADJ
ejpam-5545	798	12	sets	set	NOUN
ejpam-5545	798	13	on	on	ADP
ejpam-5545	798	14	grill	grill	NOUN
ejpam-5545	798	15	-	-	PUNCT
ejpam-5545	798	16	semi	semi	ADJ
ejpam-5545	798	17	-	-	ADJ
ejpam-5545	798	18	p	p	ADJ
ejpam-5545	798	19	-	-	PUNCT
ejpam-5545	798	20	separation	separation	NOUN
ejpam-5545	798	21	axioms	axiom	NOUN
ejpam-5545	798	22	.	.	PUNCT
ejpam-5545	799	1	in	in	ADP
ejpam-5545	799	2	aip	aip	PROPN
ejpam-5545	799	3	conf	conf	PROPN
ejpam-5545	799	4	.	.	PUNCT
ejpam-5545	800	1	proc	proc	PROPN
ejpam-5545	800	2	.	.	PROPN
ejpam-5545	800	3	,	,	PUNCT
ejpam-5545	800	4	page	page	NOUN
ejpam-5545	800	5	2414	2414	NUM
ejpam-5545	800	6	,	,	PUNCT
ejpam-5545	800	7	aip	aip	PROPN
ejpam-5545	800	8	conf	conf	PROPN
ejpam-5545	800	9	.	.	PUNCT
ejpam-5545	801	1	proc	proc	PROPN
ejpam-5545	801	2	.	.	PROPN
ejpam-5545	801	3	,	,	PUNCT
ejpam-5545	801	4	2023	2023	NUM
ejpam-5545	801	5	.	.	PUNCT
ejpam-5545	802	1	aip	aip	PROPN
ejpam-5545	802	2	conf	conf	PROPN
ejpam-5545	802	3	.	.	PUNCT
ejpam-5545	803	1	proc	proc	PROPN
ejpam-5545	803	2	.	.	PUNCT
ejpam-5545	804	1	https://doi.org/10.1063/5.0117064	https://doi.org/10.1063/5.0117064	NOUN
ejpam-5545	804	2	.	.	PUNCT
ejpam-5545	805	1	[	[	X
ejpam-5545	805	2	45	45	NUM
ejpam-5545	805	3	]	]	PUNCT
ejpam-5545	805	4	r.	r.	PROPN
ejpam-5545	805	5	a.	a.	PROPN
ejpam-5545	805	6	hosny	hosny	PROPN
ejpam-5545	805	7	,	,	PUNCT
ejpam-5545	805	8	r.	r.	PROPN
ejpam-5545	805	9	abu	abu	PROPN
ejpam-5545	805	10	-	-	PUNCT
ejpam-5545	805	11	gdairi	gdairi	PROPN
ejpam-5545	805	12	,	,	PUNCT
ejpam-5545	805	13	and	and	CCONJ
ejpam-5545	805	14	m.	m.	PROPN
ejpam-5545	805	15	k.	k.	PROPN
ejpam-5545	806	1	el	el	PROPN
ejpam-5545	806	2	-	-	PROPN
ejpam-5545	806	3	bably	bably	ADV
ejpam-5545	806	4	.	.	PUNCT
ejpam-5545	807	1	enhancing	enhance	VERB
ejpam-5545	807	2	dengue	dengue	NOUN
ejpam-5545	807	3	fever	fever	NOUN
ejpam-5545	807	4	diagnosis	diagnosis	NOUN
ejpam-5545	807	5	with	with	ADP
ejpam-5545	807	6	generalized	generalized	ADJ
ejpam-5545	807	7	rough	rough	ADJ
ejpam-5545	807	8	sets	set	NOUN
ejpam-5545	807	9	:	:	PUNCT
ejpam-5545	807	10	utilizing	utilize	VERB
ejpam-5545	807	11	initial	initial	ADJ
ejpam-5545	807	12	-	-	PUNCT
ejpam-5545	807	13	neighborhoods	neighborhood	NOUN
ejpam-5545	807	14	and	and	CCONJ
ejpam-5545	807	15	ideals	ideal	NOUN
ejpam-5545	807	16	.	.	PUNCT
ejpam-5545	808	1	alexandria	alexandria	PROPN
ejpam-5545	808	2	eng	eng	PROPN
ejpam-5545	808	3	.	.	PUNCT
ejpam-5545	809	1	j.	j.	PROPN
ejpam-5545	809	2	,	,	PUNCT
ejpam-5545	809	3	94:68–79	94:68–79	PROPN
ejpam-5545	809	4	,	,	PUNCT
ejpam-5545	809	5	2024	2024	NUM
ejpam-5545	809	6	.	.	PUNCT
ejpam-5545	810	1	[	[	X
ejpam-5545	810	2	46	46	NUM
ejpam-5545	810	3	]	]	PUNCT
ejpam-5545	810	4	a.	a.	NOUN
ejpam-5545	810	5	a.	a.	NOUN
ejpam-5545	810	6	abo	abo	PROPN
ejpam-5545	810	7	khadra	khadra	NOUN
ejpam-5545	810	8	and	and	CCONJ
ejpam-5545	810	9	m.	m.	PROPN
ejpam-5545	810	10	k.	k.	PROPN
ejpam-5545	811	1	el	el	PROPN
ejpam-5545	811	2	-	-	PROPN
ejpam-5545	811	3	bably	bably	ADV
ejpam-5545	811	4	.	.	PUNCT
ejpam-5545	812	1	topological	topological	ADJ
ejpam-5545	812	2	approach	approach	NOUN
ejpam-5545	812	3	to	to	ADP
ejpam-5545	812	4	tolerance	tolerance	NOUN
ejpam-5545	812	5	space	space	NOUN
ejpam-5545	812	6	.	.	PUNCT
ejpam-5545	813	1	alexandria	alexandria	PROPN
ejpam-5545	813	2	eng	eng	PROPN
ejpam-5545	813	3	.	.	PUNCT
ejpam-5545	814	1	j.	j.	PROPN
ejpam-5545	814	2	,	,	PUNCT
ejpam-5545	814	3	47(6):575–580	47(6):575–580	NOUN
ejpam-5545	814	4	,	,	PUNCT
ejpam-5545	814	5	2008	2008	NUM
ejpam-5545	814	6	.	.	PUNCT
ejpam-5545	815	1	[	[	X
ejpam-5545	815	2	47	47	NUM
ejpam-5545	815	3	]	]	PUNCT
ejpam-5545	815	4	a.	a.	NOUN
ejpam-5545	815	5	a.	a.	NOUN
ejpam-5545	815	6	abo	abo	PROPN
ejpam-5545	815	7	khadra	khadra	PROPN
ejpam-5545	815	8	,	,	PUNCT
ejpam-5545	815	9	b.	b.	PROPN
ejpam-5545	815	10	m.	m.	PROPN
ejpam-5545	815	11	taher	taher	PROPN
ejpam-5545	815	12	,	,	PUNCT
ejpam-5545	815	13	and	and	CCONJ
ejpam-5545	815	14	m.	m.	PROPN
ejpam-5545	815	15	k.	k.	PROPN
ejpam-5545	816	1	el	el	PROPN
ejpam-5545	816	2	-	-	PROPN
ejpam-5545	816	3	bably	bably	ADV
ejpam-5545	816	4	.	.	PUNCT
ejpam-5545	817	1	generalization	generalization	NOUN
ejpam-5545	817	2	of	of	ADP
ejpam-5545	817	3	pawlak	pawlak	ADJ
ejpam-5545	817	4	approximation	approximation	NOUN
ejpam-5545	817	5	space	space	NOUN
ejpam-5545	817	6	.	.	PUNCT
ejpam-5545	818	1	in	in	ADP
ejpam-5545	818	2	proceeding	proceeding	NOUN
ejpam-5545	818	3	of	of	ADP
ejpam-5545	818	4	the	the	DET
ejpam-5545	818	5	international	international	ADJ
ejpam-5545	818	6	conference	conference	NOUN
ejpam-5545	818	7	on	on	ADP
ejpam-5545	818	8	mathematics	mathematic	NOUN
ejpam-5545	818	9	:	:	PUNCT
ejpam-5545	818	10	trends	trend	NOUN
ejpam-5545	818	11	and	and	CCONJ
ejpam-5545	818	12	developments	development	NOUN
ejpam-5545	818	13	,	,	PUNCT
ejpam-5545	818	14	the	the	DET
ejpam-5545	818	15	egyptian	egyptian	PROPN
ejpam-5545	818	16	mathematical	mathematical	ADJ
ejpam-5545	818	17	society	society	NOUN
ejpam-5545	818	18	,	,	PUNCT
ejpam-5545	818	19	volume	volume	NOUN
ejpam-5545	818	20	3	3	NUM
ejpam-5545	818	21	,	,	PUNCT
ejpam-5545	818	22	pages	page	NOUN
ejpam-5545	818	23	335	335	NUM
ejpam-5545	818	24	–	–	PUNCT
ejpam-5545	818	25	346	346	NUM
ejpam-5545	818	26	,	,	PUNCT
ejpam-5545	818	27	2007	2007	NUM
ejpam-5545	818	28	.	.	PUNCT
ejpam-5545	819	1	[	[	X
ejpam-5545	819	2	48	48	NUM
ejpam-5545	819	3	]	]	PUNCT
ejpam-5545	819	4	m.	m.	NOUN
ejpam-5545	819	5	kondo	kondo	PROPN
ejpam-5545	819	6	and	and	CCONJ
ejpam-5545	819	7	w.	w.	PROPN
ejpam-5545	819	8	a.	a.	PROPN
ejpam-5545	819	9	dudek	dudek	PROPN
ejpam-5545	819	10	.	.	PUNCT
ejpam-5545	820	1	topological	topological	ADJ
ejpam-5545	820	2	structures	structure	NOUN
ejpam-5545	820	3	of	of	ADP
ejpam-5545	820	4	rough	rough	ADJ
ejpam-5545	820	5	sets	set	NOUN
ejpam-5545	820	6	induced	induce	VERB
ejpam-5545	820	7	by	by	ADP
ejpam-5545	820	8	equivalence	equivalence	NOUN
ejpam-5545	820	9	relations	relation	NOUN
ejpam-5545	820	10	.	.	PUNCT
ejpam-5545	821	1	j.	j.	PROPN
ejpam-5545	821	2	adv	adv	PROPN
ejpam-5545	821	3	.	.	PUNCT
ejpam-5545	821	4	computat	computat	PROPN
ejpam-5545	821	5	.	.	PUNCT
ejpam-5545	822	1	intell	intell	PROPN
ejpam-5545	822	2	.	.	PUNCT
ejpam-5545	823	1	and	and	CCONJ
ejpam-5545	823	2	intell	intell	PROPN
ejpam-5545	823	3	.	.	PUNCT
ejpam-5545	824	1	inform	inform	NOUN
ejpam-5545	824	2	.	.	PUNCT
ejpam-5545	825	1	(	(	PUNCT
ejpam-5545	825	2	jaciii	jaciii	PROPN
ejpam-5545	825	3	)	)	PUNCT
ejpam-5545	825	4	.	.	PUNCT
ejpam-5545	826	1	,	,	PUNCT
ejpam-5545	826	2	10(5):621	10(5):621	NUM
ejpam-5545	826	3	–	–	PUNCT
ejpam-5545	826	4	624	624	NUM
ejpam-5545	826	5	,	,	PUNCT
ejpam-5545	826	6	2006	2006	NUM
ejpam-5545	826	7	.	.	PUNCT
ejpam-5545	827	1	references	reference	NOUN
ejpam-5545	827	2	3770	3770	NUM
ejpam-5545	828	1	[	[	X
ejpam-5545	828	2	49	49	NUM
ejpam-5545	828	3	]	]	PUNCT
ejpam-5545	828	4	h.	h.	PROPN
ejpam-5545	828	5	lu	lu	PROPN
ejpam-5545	828	6	,	,	PUNCT
ejpam-5545	828	7	a.	a.	PROPN
ejpam-5545	828	8	m.	m.	PROPN
ejpam-5545	828	9	khalil	khalil	PROPN
ejpam-5545	828	10	,	,	PUNCT
ejpam-5545	828	11	w.d	w.d	PROPN
ejpam-5545	828	12	.	.	PROPN
ejpam-5545	828	13	alharbi	alharbi	PROPN
ejpam-5545	828	14	,	,	PUNCT
ejpam-5545	828	15	and	and	CCONJ
ejpam-5545	828	16	m.	m.	PROPN
ejpam-5545	828	17	a.	a.	PROPN
ejpam-5545	828	18	el	el	PROPN
ejpam-5545	828	19	-	-	PROPN
ejpam-5545	828	20	gayar	gayar	NOUN
ejpam-5545	828	21	.	.	PUNCT
ejpam-5545	829	1	a	a	DET
ejpam-5545	829	2	new	new	ADJ
ejpam-5545	829	3	type	type	NOUN
ejpam-5545	829	4	of	of	ADP
ejpam-5545	829	5	generalized	generalized	ADJ
ejpam-5545	829	6	picture	picture	NOUN
ejpam-5545	829	7	fuzzy	fuzzy	ADJ
ejpam-5545	829	8	soft	soft	ADJ
ejpam-5545	829	9	set	set	NOUN
ejpam-5545	829	10	and	and	CCONJ
ejpam-5545	829	11	its	its	PRON
ejpam-5545	829	12	application	application	NOUN
ejpam-5545	829	13	in	in	ADP
ejpam-5545	829	14	decision	decision	NOUN
ejpam-5545	829	15	making	making	NOUN
ejpam-5545	829	16	.	.	PUNCT
ejpam-5545	830	1	j.	j.	PROPN
ejpam-5545	830	2	intell	intell	PROPN
ejpam-5545	830	3	.	.	PUNCT
ejpam-5545	831	1	fuzzy	fuzzy	ADJ
ejpam-5545	831	2	syst	syst	PROPN
ejpam-5545	831	3	.	.	PUNCT
ejpam-5545	831	4	,	,	PUNCT
ejpam-5545	831	5	40:12459–12475	40:12459–12475	PROPN
ejpam-5545	831	6	,	,	PUNCT
ejpam-5545	831	7	2021	2021	NUM
ejpam-5545	831	8	.	.	PUNCT
ejpam-5545	832	1	[	[	X
ejpam-5545	832	2	50	50	NUM
ejpam-5545	832	3	]	]	X
ejpam-5545	832	4	l.w	l.w	PROPN
ejpam-5545	832	5	.	.	PROPN
ejpam-5545	832	6	ma	ma	PROPN
ejpam-5545	832	7	.	.	PROPN
ejpam-5545	833	1	on	on	ADP
ejpam-5545	833	2	some	some	DET
ejpam-5545	833	3	types	type	NOUN
ejpam-5545	833	4	of	of	ADP
ejpam-5545	833	5	neighborhood	neighborhood	NOUN
ejpam-5545	833	6	-	-	PUNCT
ejpam-5545	833	7	related	relate	VERB
ejpam-5545	833	8	covering	cover	VERB
ejpam-5545	833	9	rough	rough	ADJ
ejpam-5545	833	10	sets	set	NOUN
ejpam-5545	833	11	.	.	PUNCT
ejpam-5545	834	1	int	int	NOUN
ejpam-5545	834	2	.	.	PUNCT
ejpam-5545	835	1	j.	j.	PROPN
ejpam-5545	835	2	approx	approx	PROPN
ejpam-5545	835	3	.	.	PUNCT
ejpam-5545	836	1	reason	reason	NOUN
ejpam-5545	836	2	.	.	PUNCT
ejpam-5545	836	3	,	,	PUNCT
ejpam-5545	837	1	53:901–911	53:901–911	NUM
ejpam-5545	837	2	,	,	PUNCT
ejpam-5545	837	3	2012	2012	NUM
ejpam-5545	837	4	.	.	PUNCT
ejpam-5545	838	1	[	[	X
ejpam-5545	838	2	51	51	NUM
ejpam-5545	838	3	]	]	PUNCT
ejpam-5545	838	4	a.	a.	PROPN
ejpam-5545	838	5	s.	s.	PROPN
ejpam-5545	838	6	nawar	nawar	PROPN
ejpam-5545	838	7	,	,	PUNCT
ejpam-5545	838	8	m.	m.	PROPN
ejpam-5545	838	9	k.	k.	PROPN
ejpam-5545	839	1	el	el	PROPN
ejpam-5545	839	2	-	-	PROPN
ejpam-5545	839	3	bably	bably	ADV
ejpam-5545	839	4	,	,	PUNCT
ejpam-5545	839	5	and	and	CCONJ
ejpam-5545	839	6	a.	a.	NOUN
ejpam-5545	839	7	a.	a.	PROPN
ejpam-5545	839	8	el	el	PROPN
ejpam-5545	839	9	atik	atik	PROPN
ejpam-5545	839	10	.	.	PUNCT
ejpam-5545	840	1	certain	certain	ADJ
ejpam-5545	840	2	types	type	NOUN
ejpam-5545	840	3	of	of	ADP
ejpam-5545	840	4	coverings	covering	NOUN
ejpam-5545	840	5	based	base	VERB
ejpam-5545	840	6	rough	rough	ADJ
ejpam-5545	840	7	sets	set	NOUN
ejpam-5545	840	8	with	with	ADP
ejpam-5545	840	9	application	application	NOUN
ejpam-5545	840	10	.	.	PUNCT
ejpam-5545	841	1	j.	j.	PROPN
ejpam-5545	841	2	intell	intell	PROPN
ejpam-5545	841	3	.	.	PUNCT
ejpam-5545	842	1	fuzzy	fuzzy	ADJ
ejpam-5545	842	2	syst	syst	PROPN
ejpam-5545	842	3	.	.	PUNCT
ejpam-5545	842	4	,	,	PUNCT
ejpam-5545	842	5	39(3):3085–3098	39(3):3085–3098	NUM
ejpam-5545	842	6	,	,	PUNCT
ejpam-5545	842	7	2020	2020	NUM
ejpam-5545	842	8	.	.	PUNCT
ejpam-5545	843	1	[	[	X
ejpam-5545	843	2	52	52	NUM
ejpam-5545	843	3	]	]	PUNCT
ejpam-5545	843	4	a.	a.	PROPN
ejpam-5545	843	5	s.	s.	PROPN
ejpam-5545	843	6	nawar	nawar	PROPN
ejpam-5545	843	7	,	,	PUNCT
ejpam-5545	843	8	m.a	m.a	PROPN
ejpam-5545	843	9	.	.	PROPN
ejpam-5545	843	10	el	el	PROPN
ejpam-5545	843	11	-	-	PUNCT
ejpam-5545	843	12	gayar	gayar	PROPN
ejpam-5545	843	13	,	,	PUNCT
ejpam-5545	843	14	m.	m.	NOUN
ejpam-5545	843	15	k.	k.	PROPN
ejpam-5545	844	1	el	el	PROPN
ejpam-5545	844	2	-	-	PROPN
ejpam-5545	844	3	bably	bably	ADV
ejpam-5545	844	4	,	,	PUNCT
ejpam-5545	844	5	and	and	CCONJ
ejpam-5545	844	6	r.	r.	PROPN
ejpam-5545	844	7	a.	a.	PROPN
ejpam-5545	844	8	hosny	hosny	PROPN
ejpam-5545	844	9	.	.	PUNCT
ejpam-5545	845	1	θβ	θβ	NOUN
ejpam-5545	845	2	-	-	PUNCT
ejpam-5545	845	3	ideal	ideal	NOUN
ejpam-5545	845	4	approximation	approximation	NOUN
ejpam-5545	845	5	spaces	space	NOUN
ejpam-5545	845	6	and	and	CCONJ
ejpam-5545	845	7	their	their	PRON
ejpam-5545	845	8	applications	application	NOUN
ejpam-5545	845	9	.	.	PUNCT
ejpam-5545	846	1	aims	aim	VERB
ejpam-5545	846	2	mathematics	mathematic	NOUN
ejpam-5545	846	3	.	.	PUNCT
ejpam-5545	846	4	,	,	PUNCT
ejpam-5545	847	1	7(2):2479–2497	7(2):2479–2497	NUM
ejpam-5545	847	2	,	,	PUNCT
ejpam-5545	847	3	2022	2022	NUM
ejpam-5545	847	4	.	.	PUNCT
ejpam-5545	848	1	[	[	X
ejpam-5545	848	2	53	53	NUM
ejpam-5545	848	3	]	]	PUNCT
ejpam-5545	848	4	z.	z.	PROPN
ejpam-5545	848	5	pawlak	pawlak	PROPN
ejpam-5545	848	6	.	.	PUNCT
ejpam-5545	849	1	rough	rough	ADJ
ejpam-5545	849	2	sets	set	NOUN
ejpam-5545	849	3	.	.	PUNCT
ejpam-5545	850	1	int	int	NOUN
ejpam-5545	850	2	.	.	PUNCT
ejpam-5545	851	1	j.	j.	PROPN
ejpam-5545	851	2	inform	inform	PROPN
ejpam-5545	851	3	.	.	PUNCT
ejpam-5545	852	1	comput	comput	NOUN
ejpam-5545	852	2	.	.	PUNCT
ejpam-5545	853	1	sci	sci	PROPN
ejpam-5545	853	2	.	.	PROPN
ejpam-5545	853	3	,	,	PUNCT
ejpam-5545	853	4	11:341–356	11:341–356	NUM
ejpam-5545	853	5	,	,	PUNCT
ejpam-5545	853	6	1982	1982	NUM
ejpam-5545	853	7	.	.	PUNCT
ejpam-5545	854	1	[	[	X
ejpam-5545	854	2	54	54	NUM
ejpam-5545	854	3	]	]	PUNCT
ejpam-5545	854	4	z.	z.	PROPN
ejpam-5545	854	5	pawlak	pawlak	PROPN
ejpam-5545	854	6	.	.	PUNCT
ejpam-5545	855	1	rough	rough	ADJ
ejpam-5545	855	2	sets	set	NOUN
ejpam-5545	855	3	:	:	PUNCT
ejpam-5545	855	4	theoretical	theoretical	ADJ
ejpam-5545	855	5	aspects	aspect	NOUN
ejpam-5545	855	6	of	of	ADP
ejpam-5545	855	7	reasoning	reasoning	NOUN
ejpam-5545	855	8	about	about	ADP
ejpam-5545	855	9	data	datum	NOUN
ejpam-5545	855	10	.	.	PUNCT
ejpam-5545	855	11	.	.	PUNCT
ejpam-5545	856	1	dordrecht	dordrecht	PROPN
ejpam-5545	856	2	,	,	PUNCT
ejpam-5545	856	3	springer	springer	NOUN
ejpam-5545	856	4	,	,	PUNCT
ejpam-5545	856	5	1991	1991	NUM
ejpam-5545	856	6	.	.	PUNCT
ejpam-5545	857	1	[	[	X
ejpam-5545	857	2	55	55	NUM
ejpam-5545	857	3	]	]	PUNCT
ejpam-5545	857	4	k.	k.	PROPN
ejpam-5545	857	5	qin	qin	PROPN
ejpam-5545	857	6	,	,	PUNCT
ejpam-5545	857	7	j.	j.	PROPN
ejpam-5545	857	8	yang	yang	PROPN
ejpam-5545	857	9	,	,	PUNCT
ejpam-5545	857	10	and	and	CCONJ
ejpam-5545	857	11	z.	z.	PROPN
ejpam-5545	857	12	pei	pei	PROPN
ejpam-5545	857	13	.	.	PROPN
ejpam-5545	858	1	generalized	generalize	VERB
ejpam-5545	858	2	rough	rough	ADJ
ejpam-5545	858	3	sets	set	NOUN
ejpam-5545	858	4	based	base	VERB
ejpam-5545	858	5	on	on	ADP
ejpam-5545	858	6	reflexive	reflexive	ADJ
ejpam-5545	858	7	and	and	CCONJ
ejpam-5545	858	8	transitive	transitive	ADJ
ejpam-5545	858	9	relations	relation	NOUN
ejpam-5545	858	10	.	.	PUNCT
ejpam-5545	859	1	inform	inform	NOUN
ejpam-5545	859	2	.	.	PUNCT
ejpam-5545	860	1	sci	sci	PROPN
ejpam-5545	860	2	.	.	PROPN
ejpam-5545	860	3	,	,	PUNCT
ejpam-5545	860	4	178:4138–4141	178:4138–4141	NUM
ejpam-5545	860	5	,	,	PUNCT
ejpam-5545	860	6	2008	2008	NUM
ejpam-5545	860	7	.	.	PUNCT
ejpam-5545	861	1	[	[	X
ejpam-5545	861	2	56	56	NUM
ejpam-5545	861	3	]	]	PUNCT
ejpam-5545	861	4	k.	k.	PROPN
ejpam-5545	861	5	n.	n.	PROPN
ejpam-5545	861	6	singh	singh	PROPN
ejpam-5545	861	7	and	and	CCONJ
ejpam-5545	861	8	j.	j.	PROPN
ejpam-5545	861	9	k.	k.	PROPN
ejpam-5545	861	10	mantri	mantri	PROPN
ejpam-5545	861	11	.	.	PUNCT
ejpam-5545	862	1	classifications	classification	NOUN
ejpam-5545	862	2	of	of	ADP
ejpam-5545	862	3	covid-19	covid-19	PROPN
ejpam-5545	862	4	variants	variant	NOUN
ejpam-5545	862	5	using	use	VERB
ejpam-5545	862	6	rough	rough	ADJ
ejpam-5545	862	7	set	set	NOUN
ejpam-5545	862	8	theory	theory	NOUN
ejpam-5545	862	9	.	.	PUNCT
ejpam-5545	863	1	in	in	ADP
ejpam-5545	863	2	ambient	ambient	ADJ
ejpam-5545	863	3	intelligence	intelligence	NOUN
ejpam-5545	863	4	in	in	ADP
ejpam-5545	863	5	health	health	NOUN
ejpam-5545	863	6	care	care	NOUN
ejpam-5545	863	7	:	:	PUNCT
ejpam-5545	863	8	proceedings	proceeding	NOUN
ejpam-5545	863	9	of	of	ADP
ejpam-5545	863	10	icaihc	icaihc	PROPN
ejpam-5545	863	11	2022	2022	NUM
ejpam-5545	863	12	,	,	PUNCT
ejpam-5545	863	13	pages	page	VERB
ejpam-5545	863	14	381–389	381–389	NUM
ejpam-5545	863	15	.	.	PUNCT
ejpam-5545	863	16	springer	springer	NOUN
ejpam-5545	863	17	,	,	PUNCT
ejpam-5545	863	18	2023	2023	NUM
ejpam-5545	863	19	.	.	PUNCT
ejpam-5545	864	1	[	[	X
ejpam-5545	864	2	57	57	NUM
ejpam-5545	864	3	]	]	PUNCT
ejpam-5545	864	4	k.	k.	PROPN
ejpam-5545	864	5	n.	n.	PROPN
ejpam-5545	864	6	singh	singh	PROPN
ejpam-5545	864	7	,	,	PUNCT
ejpam-5545	864	8	j.	j.	PROPN
ejpam-5545	864	9	k.	k.	PROPN
ejpam-5545	864	10	mantri	mantri	PROPN
ejpam-5545	864	11	,	,	PUNCT
ejpam-5545	864	12	v.	v.	CCONJ
ejpam-5545	864	13	kakulapati	kakulapati	PROPN
ejpam-5545	864	14	,	,	PUNCT
ejpam-5545	864	15	and	and	CCONJ
ejpam-5545	864	16	et	et	PROPN
ejpam-5545	864	17	al	al	PROPN
ejpam-5545	864	18	.	.	PUNCT
ejpam-5545	864	19	analysis	analysis	NOUN
ejpam-5545	864	20	and	and	CCONJ
ejpam-5545	864	21	validation	validation	NOUN
ejpam-5545	864	22	of	of	ADP
ejpam-5545	864	23	risk	risk	NOUN
ejpam-5545	864	24	prediction	prediction	NOUN
ejpam-5545	864	25	by	by	ADP
ejpam-5545	864	26	stochastic	stochastic	ADJ
ejpam-5545	864	27	gradient	gradient	NOUN
ejpam-5545	864	28	boosting	boost	VERB
ejpam-5545	864	29	along	along	ADP
ejpam-5545	864	30	with	with	ADP
ejpam-5545	864	31	recursive	recursive	ADJ
ejpam-5545	864	32	feature	feature	NOUN
ejpam-5545	864	33	elimination	elimination	NOUN
ejpam-5545	864	34	for	for	ADP
ejpam-5545	864	35	covid-19	covid-19	PROPN
ejpam-5545	864	36	.	.	PUNCT
ejpam-5545	864	37	applications	application	NOUN
ejpam-5545	864	38	of	of	ADP
ejpam-5545	864	39	artificial	artificial	ADJ
ejpam-5545	864	40	intelligence	intelligence	NOUN
ejpam-5545	864	41	in	in	ADP
ejpam-5545	864	42	covid-19	covid-19	PROPN
ejpam-5545	864	43	,	,	PUNCT
ejpam-5545	864	44	pages	page	NOUN
ejpam-5545	864	45	307–323	307–323	NUM
ejpam-5545	864	46	,	,	PUNCT
ejpam-5545	864	47	2021	2021	NUM
ejpam-5545	864	48	.	.	PUNCT
ejpam-5545	865	1	[	[	X
ejpam-5545	865	2	58	58	NUM
ejpam-5545	865	3	]	]	PUNCT
ejpam-5545	865	4	a.	a.	NOUN
ejpam-5545	865	5	skowron	skowron	NOUN
ejpam-5545	865	6	and	and	CCONJ
ejpam-5545	865	7	j.	j.	PROPN
ejpam-5545	865	8	stepaniuk	stepaniuk	PROPN
ejpam-5545	865	9	.	.	PUNCT
ejpam-5545	866	1	tolerance	tolerance	NOUN
ejpam-5545	866	2	approximation	approximation	NOUN
ejpam-5545	866	3	spaces	space	NOUN
ejpam-5545	866	4	.	.	PUNCT
ejpam-5545	867	1	fund	fund	NOUN
ejpam-5545	867	2	.	.	PUNCT
ejpam-5545	868	1	inform	inform	NOUN
ejpam-5545	868	2	.	.	PUNCT
ejpam-5545	868	3	,	,	PUNCT
ejpam-5545	868	4	27:245–253	27:245–253	NUM
ejpam-5545	868	5	,	,	PUNCT
ejpam-5545	868	6	1996	1996	NUM
ejpam-5545	868	7	.	.	PUNCT
ejpam-5545	869	1	[	[	X
ejpam-5545	869	2	59	59	NUM
ejpam-5545	869	3	]	]	PUNCT
ejpam-5545	869	4	i.	i.	PROPN
ejpam-5545	869	5	m.	m.	PROPN
ejpam-5545	869	6	taha	taha	PROPN
ejpam-5545	869	7	.	.	PUNCT
ejpam-5545	870	1	some	some	DET
ejpam-5545	870	2	new	new	ADJ
ejpam-5545	870	3	separation	separation	NOUN
ejpam-5545	870	4	axioms	axiom	VERB
ejpam-5545	870	5	in	in	ADP
ejpam-5545	870	6	fuzzy	fuzzy	ADJ
ejpam-5545	870	7	soft	soft	ADJ
ejpam-5545	870	8	topological	topological	ADJ
ejpam-5545	870	9	spaces	space	NOUN
ejpam-5545	870	10	.	.	PUNCT
ejpam-5545	871	1	filomat	filomat	PROPN
ejpam-5545	871	2	.	.	PROPN
ejpam-5545	871	3	,	,	PUNCT
ejpam-5545	871	4	35(6):1775–1783	35(6):1775–1783	NOUN
ejpam-5545	871	5	,	,	PUNCT
ejpam-5545	871	6	2021	2021	NUM
ejpam-5545	871	7	.	.	PUNCT
ejpam-5545	872	1	[	[	X
ejpam-5545	872	2	60	60	NUM
ejpam-5545	872	3	]	]	X
ejpam-5545	872	4	i.	i.	PROPN
ejpam-5545	872	5	m.	m.	PROPN
ejpam-5545	872	6	taha	taha	PROPN
ejpam-5545	872	7	.	.	PUNCT
ejpam-5545	873	1	on	on	ADP
ejpam-5545	873	2	r	r	NOUN
ejpam-5545	873	3	-	-	PUNCT
ejpam-5545	873	4	generalized	generalize	VERB
ejpam-5545	873	5	fuzzy	fuzzy	ADJ
ejpam-5545	873	6	ℓ-closed	ℓ-close	VERB
ejpam-5545	873	7	sets	set	NOUN
ejpam-5545	873	8	:	:	PUNCT
ejpam-5545	873	9	properties	property	NOUN
ejpam-5545	873	10	and	and	CCONJ
ejpam-5545	873	11	applications	application	NOUN
ejpam-5545	873	12	.	.	PUNCT
ejpam-5545	874	1	j.	j.	PROPN
ejpam-5545	874	2	math	math	PROPN
ejpam-5545	874	3	.	.	PUNCT
ejpam-5545	874	4	,	,	PUNCT
ejpam-5545	874	5	2021:1–8	2021:1–8	PROPN
ejpam-5545	874	6	,	,	PUNCT
ejpam-5545	874	7	2021	2021	NUM
ejpam-5545	874	8	.	.	PUNCT
ejpam-5545	875	1	[	[	X
ejpam-5545	875	2	61	61	NUM
ejpam-5545	875	3	]	]	PUNCT
ejpam-5545	875	4	i.	i.	PROPN
ejpam-5545	875	5	m.	m.	PROPN
ejpam-5545	875	6	taha	taha	PROPN
ejpam-5545	875	7	.	.	PUNCT
ejpam-5545	876	1	some	some	DET
ejpam-5545	876	2	new	new	ADJ
ejpam-5545	876	3	results	result	NOUN
ejpam-5545	876	4	on	on	ADP
ejpam-5545	876	5	fuzzy	fuzzy	ADJ
ejpam-5545	876	6	soft	soft	ADJ
ejpam-5545	876	7	r	r	NOUN
ejpam-5545	876	8	-	-	PUNCT
ejpam-5545	876	9	minimal	minimal	ADJ
ejpam-5545	876	10	spaces	space	NOUN
ejpam-5545	876	11	.	.	PUNCT
ejpam-5545	877	1	aims	aim	VERB
ejpam-5545	877	2	mathematics	mathematic	NOUN
ejpam-5545	877	3	.	.	PUNCT
ejpam-5545	877	4	,	,	PUNCT
ejpam-5545	878	1	7(7):12458–12470	7(7):12458–12470	PROPN
ejpam-5545	878	2	,	,	PUNCT
ejpam-5545	878	3	2022	2022	NUM
ejpam-5545	878	4	.	.	PUNCT
ejpam-5545	879	1	[	[	X
ejpam-5545	879	2	62	62	NUM
ejpam-5545	879	3	]	]	PUNCT
ejpam-5545	879	4	i.	i.	PROPN
ejpam-5545	879	5	m.	m.	PROPN
ejpam-5545	879	6	taha	taha	PROPN
ejpam-5545	879	7	.	.	PUNCT
ejpam-5545	880	1	some	some	DET
ejpam-5545	880	2	properties	property	NOUN
ejpam-5545	880	3	of	of	ADP
ejpam-5545	880	4	(	(	PUNCT
ejpam-5545	880	5	r	r	NOUN
ejpam-5545	880	6	,	,	PUNCT
ejpam-5545	880	7	s)-generalized	s)-generalized	ADJ
ejpam-5545	880	8	fuzzy	fuzzy	ADJ
ejpam-5545	880	9	semi	semi	ADJ
ejpam-5545	880	10	-	-	ADJ
ejpam-5545	880	11	closed	closed	ADJ
ejpam-5545	880	12	sets	set	NOUN
ejpam-5545	880	13	and	and	CCONJ
ejpam-5545	880	14	some	some	DET
ejpam-5545	880	15	applications	application	NOUN
ejpam-5545	880	16	.	.	PUNCT
ejpam-5545	881	1	j.	j.	PROPN
ejpam-5545	881	2	math	math	PROPN
ejpam-5545	881	3	.	.	PUNCT
ejpam-5545	882	1	comput	comput	NOUN
ejpam-5545	882	2	.	.	PUNCT
ejpam-5545	883	1	sci	sci	PROPN
ejpam-5545	883	2	.	.	PROPN
ejpam-5545	883	3	,	,	PUNCT
ejpam-5545	883	4	27(2):164–175	27(2):164–175	PROPN
ejpam-5545	883	5	,	,	PUNCT
ejpam-5545	883	6	2022	2022	NUM
ejpam-5545	883	7	.	.	PUNCT
ejpam-5545	884	1	[	[	X
ejpam-5545	884	2	63	63	NUM
ejpam-5545	884	3	]	]	PUNCT
ejpam-5545	884	4	d.	d.	PROPN
ejpam-5545	884	5	i.	i.	PROPN
ejpam-5545	884	6	taher	taher	PROPN
ejpam-5545	884	7	,	,	PUNCT
ejpam-5545	884	8	r.	r.	PROPN
ejpam-5545	884	9	abu	abu	PROPN
ejpam-5545	884	10	-	-	PUNCT
ejpam-5545	884	11	gdairi	gdairi	PROPN
ejpam-5545	884	12	,	,	PUNCT
ejpam-5545	884	13	m.	m.	PROPN
ejpam-5545	884	14	k.	k.	PROPN
ejpam-5545	885	1	el	el	PROPN
ejpam-5545	885	2	-	-	PROPN
ejpam-5545	885	3	bably	bably	ADV
ejpam-5545	885	4	,	,	PUNCT
ejpam-5545	885	5	and	and	CCONJ
ejpam-5545	885	6	m.	m.	PROPN
ejpam-5545	885	7	a.	a.	PROPN
ejpam-5545	885	8	el	el	PROPN
ejpam-5545	885	9	-	-	PUNCT
ejpam-5545	885	10	gayar	gayar	NOUN
ejpam-5545	885	11	.	.	PUNCT
ejpam-5545	886	1	decision	decision	NOUN
ejpam-5545	886	2	-	-	PUNCT
ejpam-5545	886	3	making	making	NOUN
ejpam-5545	886	4	in	in	ADP
ejpam-5545	886	5	diagnosing	diagnose	VERB
ejpam-5545	886	6	heart	heart	NOUN
ejpam-5545	886	7	failure	failure	NOUN
ejpam-5545	886	8	problems	problem	NOUN
ejpam-5545	886	9	using	use	VERB
ejpam-5545	886	10	basic	basic	ADJ
ejpam-5545	886	11	rough	rough	ADJ
ejpam-5545	886	12	sets	set	NOUN
ejpam-5545	886	13	.	.	PUNCT
ejpam-5545	887	1	aims	aim	VERB
ejpam-5545	887	2	mathematics	mathematic	NOUN
ejpam-5545	887	3	.	.	PUNCT
ejpam-5545	887	4	,	,	PUNCT
ejpam-5545	887	5	9(8):21816–21847	9(8):21816–21847	PROPN
ejpam-5545	887	6	,	,	PUNCT
ejpam-5545	887	7	2024	2024	NUM
ejpam-5545	887	8	.	.	PUNCT
ejpam-5545	888	1	references	reference	NOUN
ejpam-5545	888	2	3771	3771	NUM
ejpam-5545	888	3	[	[	X
ejpam-5545	888	4	64	64	NUM
ejpam-5545	888	5	]	]	PUNCT
ejpam-5545	888	6	b.	b.	PROPN
ejpam-5545	888	7	vellingiri	vellingiri	PROPN
ejpam-5545	888	8	,	,	PUNCT
ejpam-5545	888	9	k.	k.	PROPN
ejpam-5545	888	10	jayaramayya	jayaramayya	PROPN
ejpam-5545	888	11	,	,	PUNCT
ejpam-5545	888	12	m.	m.	NOUN
ejpam-5545	888	13	iyer	iyer	PROPN
ejpam-5545	888	14	,	,	PUNCT
ejpam-5545	888	15	and	and	CCONJ
ejpam-5545	888	16	et	et	PROPN
ejpam-5545	888	17	al	al	PROPN
ejpam-5545	888	18	.	.	PUNCT
ejpam-5545	889	1	covid-19	covid-19	PROPN
ejpam-5545	889	2	:	:	PUNCT
ejpam-5545	889	3	a	a	DET
ejpam-5545	889	4	promising	promising	ADJ
ejpam-5545	889	5	cure	cure	NOUN
ejpam-5545	889	6	for	for	ADP
ejpam-5545	889	7	the	the	DET
ejpam-5545	889	8	global	global	ADJ
ejpam-5545	889	9	panic	panic	NOUN
ejpam-5545	889	10	.	.	PUNCT
ejpam-5545	890	1	sci	sci	PROPN
ejpam-5545	890	2	.	.	PUNCT
ejpam-5545	890	3	tot	tot	PROPN
ejpam-5545	890	4	.	.	PUNCT
ejpam-5545	891	1	env	env	PROPN
ejpam-5545	891	2	.	.	PROPN
ejpam-5545	891	3	,	,	PUNCT
ejpam-5545	891	4	725:138277	725:138277	NUM
ejpam-5545	891	5	,	,	PUNCT
ejpam-5545	891	6	2020	2020	NUM
ejpam-5545	891	7	.	.	PUNCT
ejpam-5545	892	1	[	[	X
ejpam-5545	892	2	65	65	NUM
ejpam-5545	892	3	]	]	X
ejpam-5545	892	4	y.	y.	PROPN
ejpam-5545	892	5	y.	y.	PROPN
ejpam-5545	892	6	yao	yao	PROPN
ejpam-5545	892	7	.	.	PUNCT
ejpam-5545	893	1	relational	relational	ADJ
ejpam-5545	893	2	interpretations	interpretation	NOUN
ejpam-5545	893	3	of	of	ADP
ejpam-5545	893	4	neighborhood	neighborhood	NOUN
ejpam-5545	893	5	operators	operator	NOUN
ejpam-5545	893	6	and	and	CCONJ
ejpam-5545	893	7	rough	rough	ADJ
ejpam-5545	893	8	set	set	NOUN
ejpam-5545	893	9	approximation	approximation	NOUN
ejpam-5545	893	10	operators	operator	NOUN
ejpam-5545	893	11	.	.	PUNCT
ejpam-5545	894	1	inform	inform	NOUN
ejpam-5545	894	2	.	.	PUNCT
ejpam-5545	895	1	sci	sci	PROPN
ejpam-5545	895	2	.	.	PROPN
ejpam-5545	895	3	,	,	PUNCT
ejpam-5545	895	4	111:239–259	111:239–259	NUM
ejpam-5545	895	5	,	,	PUNCT
ejpam-5545	895	6	1998	1998	NUM
ejpam-5545	895	7	.	.	PUNCT
ejpam-5545	896	1	https://doi.org/10.1016/s00200255(98)10006-3	https://doi.org/10.1016/s00200255(98)10006-3	NOUN
ejpam-5545	896	2	.	.	PUNCT
ejpam-5545	897	1	[	[	X
ejpam-5545	897	2	66	66	NUM
ejpam-5545	897	3	]	]	PUNCT
ejpam-5545	897	4	w.	w.	PROPN
ejpam-5545	897	5	zhu	zhu	PROPN
ejpam-5545	897	6	.	.	PUNCT
ejpam-5545	898	1	topological	topological	ADJ
ejpam-5545	898	2	approaches	approach	NOUN
ejpam-5545	898	3	to	to	ADP
ejpam-5545	898	4	covering	cover	VERB
ejpam-5545	898	5	rough	rough	ADJ
ejpam-5545	898	6	sets	set	NOUN
ejpam-5545	898	7	.	.	PUNCT
ejpam-5545	899	1	inform	inform	NOUN
ejpam-5545	899	2	.	.	PUNCT
ejpam-5545	900	1	sci	sci	PROPN
ejpam-5545	900	2	.	.	PROPN
ejpam-5545	900	3	,	,	PUNCT
ejpam-5545	900	4	177(6):1499	177(6):1499	NUM
ejpam-5545	900	5	–	–	PUNCT
ejpam-5545	900	6	1508	1508	NUM
ejpam-5545	900	7	,	,	PUNCT
ejpam-5545	900	8	2007	2007	NUM
ejpam-5545	900	9	.	.	PUNCT