id	sid	tid	token	lemma	pos
ejpam-5008	1	1	european	european	PROPN
ejpam-5008	1	2	journal	journal	PROPN
ejpam-5008	1	3	of	of	ADP
ejpam-5008	1	4	pure	pure	ADJ
ejpam-5008	1	5	and	and	CCONJ
ejpam-5008	1	6	applied	apply	VERB
ejpam-5008	1	7	mathematics	mathematic	NOUN
ejpam-5008	1	8	vol	vol	NOUN
ejpam-5008	1	9	.	.	PROPN
ejpam-5008	2	1	17	17	NUM
ejpam-5008	2	2	,	,	PUNCT
ejpam-5008	2	3	no	no	INTJ
ejpam-5008	2	4	.	.	NOUN
ejpam-5008	2	5	1	1	NUM
ejpam-5008	2	6	,	,	PUNCT
ejpam-5008	2	7	2024	2024	NUM
ejpam-5008	2	8	,	,	PUNCT
ejpam-5008	2	9	256	256	NUM
ejpam-5008	2	10	-	-	SYM
ejpam-5008	2	11	269	269	NUM
ejpam-5008	2	12	issn	issn	PROPN
ejpam-5008	2	13	1307	1307	NUM
ejpam-5008	2	14	-	-	SYM
ejpam-5008	2	15	5543	5543	NUM
ejpam-5008	2	16	–	–	PUNCT
ejpam-5008	2	17	ejpam.com	ejpam.com	X
ejpam-5008	2	18	published	publish	VERB
ejpam-5008	2	19	by	by	ADP
ejpam-5008	2	20	new	new	PROPN
ejpam-5008	2	21	york	york	PROPN
ejpam-5008	2	22	business	business	PROPN
ejpam-5008	2	23	global	global	ADJ
ejpam-5008	2	24	multi	multi	ADJ
ejpam-5008	2	25	-	-	ADJ
ejpam-5008	2	26	polar	polar	ADJ
ejpam-5008	2	27	q	q	ADJ
ejpam-5008	2	28	-	-	PUNCT
ejpam-5008	2	29	hesitant	hesitant	ADJ
ejpam-5008	2	30	fuzzy	fuzzy	ADJ
ejpam-5008	2	31	soft	soft	ADJ
ejpam-5008	2	32	implicative	implicative	ADJ
ejpam-5008	2	33	and	and	CCONJ
ejpam-5008	2	34	positive	positive	ADJ
ejpam-5008	2	35	implicative	implicative	ADJ
ejpam-5008	2	36	ideals	ideal	NOUN
ejpam-5008	2	37	in	in	ADP
ejpam-5008	2	38	bck	bck	PROPN
ejpam-5008	2	39	/	/	SYM
ejpam-5008	2	40	bci	bci	PROPN
ejpam-5008	2	41	-	-	PUNCT
ejpam-5008	2	42	algebras	algebras	PROPN
ejpam-5008	2	43	maryam	maryam	PROPN
ejpam-5008	2	44	abdullah	abdullah	PROPN
ejpam-5008	2	45	alshayea	alshayea	PROPN
ejpam-5008	2	46	department	department	PROPN
ejpam-5008	2	47	of	of	ADP
ejpam-5008	2	48	computer	computer	NOUN
ejpam-5008	2	49	science	science	NOUN
ejpam-5008	2	50	,	,	PUNCT
ejpam-5008	2	51	college	college	NOUN
ejpam-5008	2	52	of	of	ADP
ejpam-5008	2	53	engineering	engineering	NOUN
ejpam-5008	2	54	and	and	CCONJ
ejpam-5008	2	55	information	information	NOUN
ejpam-5008	2	56	technology	technology	NOUN
ejpam-5008	2	57	,	,	PUNCT
ejpam-5008	2	58	onaizah	onaizah	PROPN
ejpam-5008	2	59	colleges	college	NOUN
ejpam-5008	2	60	,	,	PUNCT
ejpam-5008	2	61	al	al	PROPN
ejpam-5008	2	62	-	-	PUNCT
ejpam-5008	2	63	qassim	qassim	NOUN
ejpam-5008	2	64	56447	56447	NUM
ejpam-5008	2	65	,	,	PUNCT
ejpam-5008	2	66	saudi	saudi	PROPN
ejpam-5008	2	67	arabia	arabia	PROPN
ejpam-5008	2	68	abstract	abstract	NOUN
ejpam-5008	2	69	.	.	PUNCT
ejpam-5008	3	1	this	this	DET
ejpam-5008	3	2	paper	paper	NOUN
ejpam-5008	3	3	focuses	focus	VERB
ejpam-5008	3	4	on	on	ADP
ejpam-5008	3	5	exploring	explore	VERB
ejpam-5008	3	6	restricted	restrict	VERB
ejpam-5008	3	7	mathematical	mathematical	ADJ
ejpam-5008	3	8	concepts	concept	NOUN
ejpam-5008	3	9	within	within	ADP
ejpam-5008	3	10	the	the	DET
ejpam-5008	3	11	domain	domain	NOUN
ejpam-5008	3	12	of	of	ADP
ejpam-5008	3	13	bck	bck	PROPN
ejpam-5008	3	14	/	/	SYM
ejpam-5008	3	15	bci	bci	NOUN
ejpam-5008	3	16	-	-	PUNCT
ejpam-5008	3	17	algebras	algebra	NOUN
ejpam-5008	3	18	,	,	PUNCT
ejpam-5008	3	19	specifically	specifically	ADV
ejpam-5008	3	20	delving	delve	VERB
ejpam-5008	3	21	into	into	ADP
ejpam-5008	3	22	the	the	DET
ejpam-5008	3	23	intricate	intricate	ADJ
ejpam-5008	3	24	realm	realm	NOUN
ejpam-5008	3	25	of	of	ADP
ejpam-5008	3	26	multi	multi	ADJ
ejpam-5008	3	27	-	-	ADJ
ejpam-5008	3	28	polar	polar	ADJ
ejpam-5008	3	29	q	q	ADJ
ejpam-5008	3	30	-	-	PUNCT
ejpam-5008	3	31	hesitant	hesitant	ADJ
ejpam-5008	3	32	fuzzy	fuzzy	ADJ
ejpam-5008	3	33	soft	soft	ADJ
ejpam-5008	3	34	implicative	implicative	ADJ
ejpam-5008	3	35	and	and	CCONJ
ejpam-5008	3	36	positive	positive	ADJ
ejpam-5008	3	37	implicative	implicative	ADJ
ejpam-5008	3	38	ideals	ideal	NOUN
ejpam-5008	3	39	.	.	PUNCT
ejpam-5008	4	1	bck	bck	PROPN
ejpam-5008	4	2	and	and	CCONJ
ejpam-5008	4	3	bci	bci	NOUN
ejpam-5008	4	4	-	-	PUNCT
ejpam-5008	4	5	algebras	algebra	NOUN
ejpam-5008	4	6	are	be	AUX
ejpam-5008	4	7	pivotal	pivotal	ADJ
ejpam-5008	4	8	structures	structure	NOUN
ejpam-5008	4	9	in	in	ADP
ejpam-5008	4	10	mathematical	mathematical	ADJ
ejpam-5008	4	11	logic	logic	NOUN
ejpam-5008	4	12	and	and	CCONJ
ejpam-5008	4	13	algebraic	algebraic	ADJ
ejpam-5008	4	14	systems	system	NOUN
ejpam-5008	4	15	,	,	PUNCT
ejpam-5008	4	16	finding	find	VERB
ejpam-5008	4	17	widespread	widespread	ADJ
ejpam-5008	4	18	applications	application	NOUN
ejpam-5008	4	19	in	in	ADP
ejpam-5008	4	20	fields	field	NOUN
ejpam-5008	4	21	like	like	ADP
ejpam-5008	4	22	computer	computer	NOUN
ejpam-5008	4	23	science	science	NOUN
ejpam-5008	4	24	and	and	CCONJ
ejpam-5008	4	25	artificial	artificial	ADJ
ejpam-5008	4	26	intelligence	intelligence	NOUN
ejpam-5008	4	27	.	.	PUNCT
ejpam-5008	5	1	our	our	PRON
ejpam-5008	5	2	contribution	contribution	NOUN
ejpam-5008	5	3	lies	lie	VERB
ejpam-5008	5	4	in	in	ADP
ejpam-5008	5	5	the	the	DET
ejpam-5008	5	6	introduction	introduction	NOUN
ejpam-5008	5	7	and	and	CCONJ
ejpam-5008	5	8	thorough	thorough	ADJ
ejpam-5008	5	9	investigation	investigation	NOUN
ejpam-5008	5	10	of	of	ADP
ejpam-5008	5	11	the	the	DET
ejpam-5008	5	12	innovative	innovative	ADJ
ejpam-5008	5	13	notions	notion	NOUN
ejpam-5008	5	14	of	of	ADP
ejpam-5008	5	15	multi	multi	ADJ
ejpam-5008	5	16	-	-	ADJ
ejpam-5008	5	17	polar	polar	ADJ
ejpam-5008	5	18	q	q	ADJ
ejpam-5008	5	19	-	-	PUNCT
ejpam-5008	5	20	hesitant	hesitant	ADJ
ejpam-5008	5	21	fuzzy	fuzzy	ADJ
ejpam-5008	5	22	soft	soft	ADJ
ejpam-5008	5	23	implicative	implicative	ADJ
ejpam-5008	5	24	and	and	CCONJ
ejpam-5008	5	25	positive	positive	ADJ
ejpam-5008	5	26	implicative	implicative	ADJ
ejpam-5008	5	27	ideals	ideal	NOUN
ejpam-5008	5	28	,	,	PUNCT
ejpam-5008	5	29	uniquely	uniquely	ADV
ejpam-5008	5	30	tailored	tailor	VERB
ejpam-5008	5	31	for	for	ADP
ejpam-5008	5	32	bck	bck	PROPN
ejpam-5008	5	33	/	/	SYM
ejpam-5008	5	34	bci	bci	NOUN
ejpam-5008	5	35	-	-	PUNCT
ejpam-5008	5	36	algebras	algebras	X
ejpam-5008	5	37	.	.	PUNCT
ejpam-5008	6	1	these	these	DET
ejpam-5008	6	2	ideals	ideal	NOUN
ejpam-5008	6	3	exhibit	exhibit	VERB
ejpam-5008	6	4	exceptional	exceptional	ADJ
ejpam-5008	6	5	flexibility	flexibility	NOUN
ejpam-5008	6	6	in	in	ADP
ejpam-5008	6	7	managing	manage	VERB
ejpam-5008	6	8	uncertain	uncertain	ADJ
ejpam-5008	6	9	and	and	CCONJ
ejpam-5008	6	10	hesitant	hesitant	ADJ
ejpam-5008	6	11	information	information	NOUN
ejpam-5008	6	12	,	,	PUNCT
ejpam-5008	6	13	serving	serve	VERB
ejpam-5008	6	14	as	as	ADP
ejpam-5008	6	15	potent	potent	ADJ
ejpam-5008	6	16	tools	tool	NOUN
ejpam-5008	6	17	for	for	ADP
ejpam-5008	6	18	modeling	modeling	NOUN
ejpam-5008	6	19	and	and	CCONJ
ejpam-5008	6	20	solving	solve	VERB
ejpam-5008	6	21	real	real	ADJ
ejpam-5008	6	22	-	-	PUNCT
ejpam-5008	6	23	world	world	NOUN
ejpam-5008	6	24	problems	problem	NOUN
ejpam-5008	6	25	characterized	characterize	VERB
ejpam-5008	6	26	by	by	ADP
ejpam-5008	6	27	imprecise	imprecise	ADV
ejpam-5008	6	28	or	or	CCONJ
ejpam-5008	6	29	incomplete	incomplete	ADJ
ejpam-5008	6	30	data	datum	NOUN
ejpam-5008	6	31	.	.	PUNCT
ejpam-5008	7	1	this	this	DET
ejpam-5008	7	2	study	study	NOUN
ejpam-5008	7	3	rigorously	rigorously	ADV
ejpam-5008	7	4	defines	define	VERB
ejpam-5008	7	5	and	and	CCONJ
ejpam-5008	7	6	explores	explore	VERB
ejpam-5008	7	7	the	the	DET
ejpam-5008	7	8	foundational	foundational	ADJ
ejpam-5008	7	9	properties	property	NOUN
ejpam-5008	7	10	of	of	ADP
ejpam-5008	7	11	multi	multi	ADJ
ejpam-5008	7	12	-	-	ADJ
ejpam-5008	7	13	polar	polar	ADJ
ejpam-5008	7	14	q	q	ADJ
ejpam-5008	7	15	-	-	PUNCT
ejpam-5008	7	16	hesitant	hesitant	ADJ
ejpam-5008	7	17	fuzzy	fuzzy	ADJ
ejpam-5008	7	18	soft	soft	ADJ
ejpam-5008	7	19	implicative	implicative	ADJ
ejpam-5008	7	20	ideals	ideal	NOUN
ejpam-5008	7	21	,	,	PUNCT
ejpam-5008	7	22	underscoring	underscore	VERB
ejpam-5008	7	23	their	their	PRON
ejpam-5008	7	24	relevance	relevance	NOUN
ejpam-5008	7	25	and	and	CCONJ
ejpam-5008	7	26	applicability	applicability	NOUN
ejpam-5008	7	27	within	within	ADP
ejpam-5008	7	28	bck	bck	PROPN
ejpam-5008	7	29	/	/	SYM
ejpam-5008	7	30	bci	bci	NOUN
ejpam-5008	7	31	-	-	PUNCT
ejpam-5008	7	32	algebras	algebra	NOUN
ejpam-5008	7	33	.	.	PUNCT
ejpam-5008	8	1	additionally	additionally	ADV
ejpam-5008	8	2	,	,	PUNCT
ejpam-5008	8	3	we	we	PRON
ejpam-5008	8	4	present	present	VERB
ejpam-5008	8	5	the	the	DET
ejpam-5008	8	6	concept	concept	NOUN
ejpam-5008	8	7	of	of	ADP
ejpam-5008	8	8	positive	positive	ADJ
ejpam-5008	8	9	implicative	implicative	ADJ
ejpam-5008	8	10	ideals	ideal	NOUN
ejpam-5008	8	11	,	,	PUNCT
ejpam-5008	8	12	establishing	establish	VERB
ejpam-5008	8	13	their	their	PRON
ejpam-5008	8	14	interconnectedness	interconnectedness	NOUN
ejpam-5008	8	15	with	with	ADP
ejpam-5008	8	16	multi	multi	ADJ
ejpam-5008	8	17	-	-	ADJ
ejpam-5008	8	18	polar	polar	ADJ
ejpam-5008	8	19	q	q	ADJ
ejpam-5008	8	20	-	-	PUNCT
ejpam-5008	8	21	hesitant	hesitant	ADJ
ejpam-5008	8	22	fuzzy	fuzzy	ADJ
ejpam-5008	8	23	soft	soft	ADJ
ejpam-5008	8	24	implicative	implicative	ADJ
ejpam-5008	8	25	ideals	ideal	NOUN
ejpam-5008	8	26	.	.	PUNCT
ejpam-5008	9	1	our	our	PRON
ejpam-5008	9	2	investigation	investigation	NOUN
ejpam-5008	9	3	delves	delve	VERB
ejpam-5008	9	4	into	into	ADP
ejpam-5008	9	5	these	these	DET
ejpam-5008	9	6	ideals	ideal	NOUN
ejpam-5008	9	7	’	'	PUNCT
ejpam-5008	9	8	algebraic	algebraic	ADJ
ejpam-5008	9	9	and	and	CCONJ
ejpam-5008	9	10	logical	logical	ADJ
ejpam-5008	9	11	facets	facet	NOUN
ejpam-5008	9	12	,	,	PUNCT
ejpam-5008	9	13	offering	offer	VERB
ejpam-5008	9	14	valuable	valuable	ADJ
ejpam-5008	9	15	insights	insight	NOUN
ejpam-5008	9	16	into	into	ADP
ejpam-5008	9	17	their	their	PRON
ejpam-5008	9	18	mutual	mutual	ADJ
ejpam-5008	9	19	interactions	interaction	NOUN
ejpam-5008	9	20	and	and	CCONJ
ejpam-5008	9	21	significance	significance	NOUN
ejpam-5008	9	22	within	within	ADP
ejpam-5008	9	23	the	the	DET
ejpam-5008	9	24	context	context	NOUN
ejpam-5008	9	25	of	of	ADP
ejpam-5008	9	26	bck	bck	PROPN
ejpam-5008	9	27	/	/	SYM
ejpam-5008	9	28	bci	bci	NOUN
ejpam-5008	9	29	-	-	PUNCT
ejpam-5008	9	30	algebras	algebra	NOUN
ejpam-5008	9	31	.	.	PUNCT
ejpam-5008	10	1	to	to	PART
ejpam-5008	10	2	facilitate	facilitate	VERB
ejpam-5008	10	3	practical	practical	ADJ
ejpam-5008	10	4	implementation	implementation	NOUN
ejpam-5008	10	5	,	,	PUNCT
ejpam-5008	10	6	we	we	PRON
ejpam-5008	10	7	develop	develop	VERB
ejpam-5008	10	8	algorithms	algorithm	NOUN
ejpam-5008	10	9	and	and	CCONJ
ejpam-5008	10	10	methodologies	methodology	NOUN
ejpam-5008	10	11	for	for	ADP
ejpam-5008	10	12	identifying	identify	VERB
ejpam-5008	10	13	and	and	CCONJ
ejpam-5008	10	14	characterizing	characterize	VERB
ejpam-5008	10	15	multi	multi	ADJ
ejpam-5008	10	16	-	-	ADJ
ejpam-5008	10	17	polar	polar	ADJ
ejpam-5008	10	18	q	q	ADJ
ejpam-5008	10	19	-	-	PUNCT
ejpam-5008	10	20	hesitant	hesitant	ADJ
ejpam-5008	10	21	fuzzy	fuzzy	ADJ
ejpam-5008	10	22	soft	soft	ADJ
ejpam-5008	10	23	implicative	implicative	ADJ
ejpam-5008	10	24	and	and	CCONJ
ejpam-5008	10	25	positive	positive	ADJ
ejpam-5008	10	26	implicative	implicative	ADJ
ejpam-5008	10	27	ideals	ideal	NOUN
ejpam-5008	10	28	.	.	PUNCT
ejpam-5008	11	1	these	these	DET
ejpam-5008	11	2	computational	computational	ADJ
ejpam-5008	11	3	tools	tool	NOUN
ejpam-5008	11	4	enable	enable	VERB
ejpam-5008	11	5	efficient	efficient	ADJ
ejpam-5008	11	6	decision	decision	NOUN
ejpam-5008	11	7	-	-	PUNCT
ejpam-5008	11	8	making	making	NOUN
ejpam-5008	11	9	in	in	ADP
ejpam-5008	11	10	scenarios	scenario	NOUN
ejpam-5008	11	11	involving	involve	VERB
ejpam-5008	11	12	uncertainty	uncertainty	NOUN
ejpam-5008	11	13	.	.	PUNCT
ejpam-5008	12	1	through	through	ADP
ejpam-5008	12	2	illustrative	illustrative	ADJ
ejpam-5008	12	3	examples	example	NOUN
ejpam-5008	12	4	and	and	CCONJ
ejpam-5008	12	5	case	case	NOUN
ejpam-5008	12	6	studies	study	NOUN
ejpam-5008	12	7	,	,	PUNCT
ejpam-5008	12	8	we	we	PRON
ejpam-5008	12	9	showcase	showcase	VERB
ejpam-5008	12	10	the	the	DET
ejpam-5008	12	11	potential	potential	NOUN
ejpam-5008	12	12	of	of	ADP
ejpam-5008	12	13	these	these	DET
ejpam-5008	12	14	ideals	ideal	NOUN
ejpam-5008	12	15	in	in	ADP
ejpam-5008	12	16	handling	handle	VERB
ejpam-5008	12	17	complex	complex	ADJ
ejpam-5008	12	18	,	,	PUNCT
ejpam-5008	12	19	uncertain	uncertain	ADJ
ejpam-5008	12	20	information	information	NOUN
ejpam-5008	12	21	,	,	PUNCT
ejpam-5008	12	22	demonstrating	demonstrate	VERB
ejpam-5008	12	23	their	their	PRON
ejpam-5008	12	24	efficacy	efficacy	NOUN
ejpam-5008	12	25	in	in	ADP
ejpam-5008	12	26	aiding	aid	VERB
ejpam-5008	12	27	problem	problem	NOUN
ejpam-5008	12	28	-	-	PUNCT
ejpam-5008	12	29	solving	solve	VERB
ejpam-5008	12	30	processes	process	NOUN
ejpam-5008	12	31	.	.	PUNCT
ejpam-5008	13	1	this	this	DET
ejpam-5008	13	2	research	research	NOUN
ejpam-5008	13	3	contributes	contribute	VERB
ejpam-5008	13	4	significantly	significantly	ADV
ejpam-5008	13	5	to	to	ADP
ejpam-5008	13	6	advancing	advance	VERB
ejpam-5008	13	7	bck	bck	PROPN
ejpam-5008	13	8	/	/	SYM
ejpam-5008	13	9	bci	bci	NOUN
ejpam-5008	13	10	-	-	PUNCT
ejpam-5008	13	11	algebra	algebra	NOUN
ejpam-5008	13	12	theory	theory	NOUN
ejpam-5008	13	13	by	by	ADP
ejpam-5008	13	14	introducing	introduce	VERB
ejpam-5008	13	15	innovative	innovative	ADJ
ejpam-5008	13	16	mathematical	mathematical	ADJ
ejpam-5008	13	17	structures	structure	NOUN
ejpam-5008	13	18	that	that	PRON
ejpam-5008	13	19	bridge	bridge	VERB
ejpam-5008	13	20	the	the	DET
ejpam-5008	13	21	gap	gap	NOUN
ejpam-5008	13	22	between	between	ADP
ejpam-5008	13	23	fuzzy	fuzzy	ADJ
ejpam-5008	13	24	logic	logic	NOUN
ejpam-5008	13	25	,	,	PUNCT
ejpam-5008	13	26	soft	soft	ADJ
ejpam-5008	13	27	computing	computing	NOUN
ejpam-5008	13	28	,	,	PUNCT
ejpam-5008	13	29	and	and	CCONJ
ejpam-5008	13	30	implicative	implicative	ADJ
ejpam-5008	13	31	ideals	ideal	NOUN
ejpam-5008	13	32	.	.	PUNCT
ejpam-5008	14	1	the	the	DET
ejpam-5008	14	2	proposed	propose	VERB
ejpam-5008	14	3	multi	multi	ADJ
ejpam-5008	14	4	-	-	ADJ
ejpam-5008	14	5	polar	polar	ADJ
ejpam-5008	14	6	q	q	ADJ
ejpam-5008	14	7	-	-	PUNCT
ejpam-5008	14	8	hesitant	hesitant	ADJ
ejpam-5008	14	9	fuzzy	fuzzy	ADJ
ejpam-5008	14	10	soft	soft	ADJ
ejpam-5008	14	11	implicative	implicative	ADJ
ejpam-5008	14	12	and	and	CCONJ
ejpam-5008	14	13	positive	positive	ADJ
ejpam-5008	14	14	implicative	implicative	ADJ
ejpam-5008	14	15	ideals	ideal	NOUN
ejpam-5008	14	16	open	open	VERB
ejpam-5008	14	17	new	new	ADJ
ejpam-5008	14	18	avenues	avenue	NOUN
ejpam-5008	14	19	for	for	ADP
ejpam-5008	14	20	addressing	address	VERB
ejpam-5008	14	21	real	real	ADJ
ejpam-5008	14	22	-	-	PUNCT
ejpam-5008	14	23	world	world	NOUN
ejpam-5008	14	24	problems	problem	NOUN
ejpam-5008	14	25	characterized	characterize	VERB
ejpam-5008	14	26	by	by	ADP
ejpam-5008	14	27	imprecision	imprecision	NOUN
ejpam-5008	14	28	and	and	CCONJ
ejpam-5008	14	29	uncertainty	uncertainty	NOUN
ejpam-5008	14	30	.	.	PUNCT
ejpam-5008	15	1	as	as	ADP
ejpam-5008	15	2	such	such	ADJ
ejpam-5008	15	3	,	,	PUNCT
ejpam-5008	15	4	they	they	PRON
ejpam-5008	15	5	represent	represent	VERB
ejpam-5008	15	6	a	a	DET
ejpam-5008	15	7	valuable	valuable	ADJ
ejpam-5008	15	8	addition	addition	NOUN
ejpam-5008	15	9	to	to	ADP
ejpam-5008	15	10	the	the	DET
ejpam-5008	15	11	field	field	NOUN
ejpam-5008	15	12	of	of	ADP
ejpam-5008	15	13	algebraic	algebraic	ADJ
ejpam-5008	15	14	structures	structure	NOUN
ejpam-5008	15	15	and	and	CCONJ
ejpam-5008	15	16	their	their	PRON
ejpam-5008	15	17	applications	application	NOUN
ejpam-5008	15	18	.	.	PUNCT
ejpam-5008	16	1	2020	2020	NUM
ejpam-5008	16	2	mathematics	mathematic	NOUN
ejpam-5008	16	3	subject	subject	NOUN
ejpam-5008	16	4	classifications	classification	NOUN
ejpam-5008	16	5	:	:	PUNCT
ejpam-5008	16	6	06f35,03g25,08a72	06f35,03g25,08a72	ADJ
ejpam-5008	16	7	key	key	ADJ
ejpam-5008	16	8	words	word	NOUN
ejpam-5008	16	9	and	and	CCONJ
ejpam-5008	16	10	phrases	phrase	NOUN
ejpam-5008	16	11	:	:	PUNCT
ejpam-5008	16	12	q	q	ADJ
ejpam-5008	16	13	-	-	PUNCT
ejpam-5008	16	14	hesitant	hesitant	ADJ
ejpam-5008	16	15	,	,	PUNCT
ejpam-5008	16	16	multi	multi	ADJ
ejpam-5008	16	17	-	-	ADJ
ejpam-5008	16	18	polar	polar	ADJ
ejpam-5008	16	19	,	,	PUNCT
ejpam-5008	16	20	soft	soft	ADJ
ejpam-5008	16	21	set	set	NOUN
ejpam-5008	16	22	,	,	PUNCT
ejpam-5008	16	23	implicative	implicative	ADJ
ejpam-5008	16	24	,	,	PUNCT
ejpam-5008	16	25	positive	positive	ADJ
ejpam-5008	16	26	implicative	implicative	ADJ
ejpam-5008	16	27	,	,	PUNCT
ejpam-5008	16	28	ideals	ideal	NOUN
ejpam-5008	16	29	,	,	PUNCT
ejpam-5008	16	30	bck	bck	PROPN
ejpam-5008	16	31	/	/	SYM
ejpam-5008	16	32	bci	bci	NOUN
ejpam-5008	16	33	-	-	PUNCT
ejpam-5008	16	34	algebras	algebras	ADJ
ejpam-5008	16	35	doi	doi	PROPN
ejpam-5008	16	36	:	:	PUNCT
ejpam-5008	16	37	https://doi.org/10.29020/nybg.ejpam.v17i1.5008	https://doi.org/10.29020/nybg.ejpam.v17i1.5008	NOUN
ejpam-5008	16	38	email	email	NOUN
ejpam-5008	16	39	address	address	NOUN
ejpam-5008	16	40	:	:	PUNCT
ejpam-5008	16	41	mmeem514@gmail.com	mmeem514@gmail.com	X
ejpam-5008	16	42	(	(	PUNCT
ejpam-5008	16	43	m.	m.	NOUN
ejpam-5008	16	44	a.	a.	NOUN
ejpam-5008	16	45	alshayea	alshayea	PROPN
ejpam-5008	16	46	)	)	PUNCT
ejpam-5008	16	47	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5008	17	1	256	256	NUM
ejpam-5008	17	2	©	©	ADP
ejpam-5008	17	3	2024	2024	NUM
ejpam-5008	17	4	ejpam	ejpam	NOUN
ejpam-5008	17	5	all	all	DET
ejpam-5008	17	6	rights	right	NOUN
ejpam-5008	17	7	reserved	reserve	VERB
ejpam-5008	17	8	.	.	PUNCT
ejpam-5008	18	1	257	257	NUM
ejpam-5008	18	2	1	1	NUM
ejpam-5008	18	3	.	.	PUNCT
ejpam-5008	18	4	introduction	introduction	NOUN
ejpam-5008	18	5	this	this	DET
ejpam-5008	18	6	paper	paper	NOUN
ejpam-5008	18	7	delves	delf	NOUN
ejpam-5008	18	8	into	into	ADP
ejpam-5008	18	9	a	a	DET
ejpam-5008	18	10	specialized	specialized	ADJ
ejpam-5008	18	11	exploration	exploration	NOUN
ejpam-5008	18	12	within	within	ADP
ejpam-5008	18	13	the	the	DET
ejpam-5008	18	14	realm	realm	NOUN
ejpam-5008	18	15	of	of	ADP
ejpam-5008	18	16	bck	bck	PROPN
ejpam-5008	18	17	(	(	PUNCT
ejpam-5008	18	18	bounded	bound	VERB
ejpam-5008	18	19	commutative	commutative	ADJ
ejpam-5008	18	20	kleene	kleene	NOUN
ejpam-5008	18	21	)	)	PUNCT
ejpam-5008	18	22	and	and	CCONJ
ejpam-5008	18	23	bci	bci	PROPN
ejpam-5008	18	24	(	(	PUNCT
ejpam-5008	18	25	bounded	bound	VERB
ejpam-5008	18	26	commutative	commutative	ADJ
ejpam-5008	18	27	implication	implication	NOUN
ejpam-5008	18	28	)	)	PUNCT
ejpam-5008	18	29	algebras	algebra	NOUN
ejpam-5008	18	30	,	,	PUNCT
ejpam-5008	18	31	focusing	focus	VERB
ejpam-5008	18	32	on	on	ADP
ejpam-5008	18	33	the	the	DET
ejpam-5008	18	34	innovative	innovative	ADJ
ejpam-5008	18	35	concepts	concept	NOUN
ejpam-5008	18	36	of	of	ADP
ejpam-5008	18	37	multi	multi	ADJ
ejpam-5008	18	38	-	-	ADJ
ejpam-5008	18	39	polar	polar	ADJ
ejpam-5008	18	40	q	q	ADJ
ejpam-5008	18	41	-	-	PUNCT
ejpam-5008	18	42	hesitant	hesitant	ADJ
ejpam-5008	18	43	fuzzy	fuzzy	ADJ
ejpam-5008	18	44	soft	soft	ADJ
ejpam-5008	18	45	implicative	implicative	ADJ
ejpam-5008	18	46	and	and	CCONJ
ejpam-5008	18	47	positive	positive	ADJ
ejpam-5008	18	48	implicative	implicative	ADJ
ejpam-5008	18	49	ideals	ideal	NOUN
ejpam-5008	18	50	.	.	PUNCT
ejpam-5008	19	1	recognized	recognize	VERB
ejpam-5008	19	2	for	for	ADP
ejpam-5008	19	3	their	their	PRON
ejpam-5008	19	4	applications	application	NOUN
ejpam-5008	19	5	in	in	ADP
ejpam-5008	19	6	mathematical	mathematical	ADJ
ejpam-5008	19	7	logic	logic	NOUN
ejpam-5008	19	8	,	,	PUNCT
ejpam-5008	19	9	computer	computer	NOUN
ejpam-5008	19	10	science	science	NOUN
ejpam-5008	19	11	,	,	PUNCT
ejpam-5008	19	12	and	and	CCONJ
ejpam-5008	19	13	artificial	artificial	ADJ
ejpam-5008	19	14	intelligence	intelligence	NOUN
ejpam-5008	19	15	,	,	PUNCT
ejpam-5008	19	16	bck	bck	NOUN
ejpam-5008	19	17	and	and	CCONJ
ejpam-5008	19	18	bci	bci	NOUN
ejpam-5008	19	19	-	-	PUNCT
ejpam-5008	19	20	algebras	algebras	PROPN
ejpam-5008	19	21	serve	serve	VERB
ejpam-5008	19	22	as	as	ADP
ejpam-5008	19	23	foundational	foundational	ADJ
ejpam-5008	19	24	structures	structure	NOUN
ejpam-5008	19	25	for	for	ADP
ejpam-5008	19	26	logical	logical	ADJ
ejpam-5008	19	27	operations	operation	NOUN
ejpam-5008	19	28	,	,	PUNCT
ejpam-5008	19	29	inference	inference	NOUN
ejpam-5008	19	30	,	,	PUNCT
ejpam-5008	19	31	and	and	CCONJ
ejpam-5008	19	32	decision	decision	NOUN
ejpam-5008	19	33	-	-	PUNCT
ejpam-5008	19	34	making	make	VERB
ejpam-5008	19	35	processes	process	NOUN
ejpam-5008	19	36	.	.	PUNCT
ejpam-5008	20	1	ideals	ideal	NOUN
ejpam-5008	20	2	,	,	PUNCT
ejpam-5008	20	3	specific	specific	ADJ
ejpam-5008	20	4	subsets	subset	NOUN
ejpam-5008	20	5	with	with	ADP
ejpam-5008	20	6	algebraic	algebraic	ADJ
ejpam-5008	20	7	properties	property	NOUN
ejpam-5008	20	8	,	,	PUNCT
ejpam-5008	20	9	play	play	VERB
ejpam-5008	20	10	a	a	DET
ejpam-5008	20	11	pivotal	pivotal	ADJ
ejpam-5008	20	12	role	role	NOUN
ejpam-5008	20	13	in	in	ADP
ejpam-5008	20	14	this	this	DET
ejpam-5008	20	15	context	context	NOUN
ejpam-5008	20	16	.	.	PUNCT
ejpam-5008	21	1	while	while	SCONJ
ejpam-5008	21	2	traditional	traditional	ADJ
ejpam-5008	21	3	ideals	ideal	NOUN
ejpam-5008	21	4	in	in	ADP
ejpam-5008	21	5	bck	bck	PROPN
ejpam-5008	21	6	/	/	SYM
ejpam-5008	21	7	bci	bci	NOUN
ejpam-5008	21	8	-	-	PUNCT
ejpam-5008	21	9	algebras	algebra	NOUN
ejpam-5008	21	10	have	have	AUX
ejpam-5008	21	11	been	be	AUX
ejpam-5008	21	12	extensively	extensively	ADV
ejpam-5008	21	13	studied	study	VERB
ejpam-5008	21	14	,	,	PUNCT
ejpam-5008	21	15	this	this	DET
ejpam-5008	21	16	paper	paper	NOUN
ejpam-5008	21	17	significantly	significantly	ADV
ejpam-5008	21	18	extends	extend	VERB
ejpam-5008	21	19	the	the	DET
ejpam-5008	21	20	existing	exist	VERB
ejpam-5008	21	21	theory	theory	NOUN
ejpam-5008	21	22	by	by	ADP
ejpam-5008	21	23	incorporating	incorporate	VERB
ejpam-5008	21	24	multi	multi	ADJ
ejpam-5008	21	25	-	-	ADJ
ejpam-5008	21	26	polar	polar	ADJ
ejpam-5008	21	27	q	q	ADJ
ejpam-5008	21	28	-	-	PUNCT
ejpam-5008	21	29	hesitant	hesitant	ADJ
ejpam-5008	21	30	fuzzy	fuzzy	ADJ
ejpam-5008	21	31	and	and	CCONJ
ejpam-5008	21	32	positive	positive	ADJ
ejpam-5008	21	33	implicative	implicative	ADJ
ejpam-5008	21	34	ideals	ideal	NOUN
ejpam-5008	21	35	.	.	PUNCT
ejpam-5008	22	1	this	this	DET
ejpam-5008	22	2	novel	novel	ADJ
ejpam-5008	22	3	approach	approach	NOUN
ejpam-5008	22	4	provides	provide	VERB
ejpam-5008	22	5	a	a	DET
ejpam-5008	22	6	more	more	ADV
ejpam-5008	22	7	adaptable	adaptable	ADJ
ejpam-5008	22	8	and	and	CCONJ
ejpam-5008	22	9	robust	robust	ADJ
ejpam-5008	22	10	framework	framework	NOUN
ejpam-5008	22	11	capable	capable	ADJ
ejpam-5008	22	12	of	of	ADP
ejpam-5008	22	13	handling	handle	VERB
ejpam-5008	22	14	imprecise	imprecise	NOUN
ejpam-5008	22	15	and	and	CCONJ
ejpam-5008	22	16	uncertain	uncertain	ADJ
ejpam-5008	22	17	information	information	NOUN
ejpam-5008	22	18	in	in	ADP
ejpam-5008	22	19	practical	practical	ADJ
ejpam-5008	22	20	decision	decision	NOUN
ejpam-5008	22	21	-	-	PUNCT
ejpam-5008	22	22	making	make	VERB
ejpam-5008	22	23	scenarios	scenario	NOUN
ejpam-5008	22	24	.	.	PUNCT
ejpam-5008	23	1	the	the	DET
ejpam-5008	23	2	historical	historical	ADJ
ejpam-5008	23	3	evolution	evolution	NOUN
ejpam-5008	23	4	of	of	ADP
ejpam-5008	23	5	bck	bck	PROPN
ejpam-5008	23	6	and	and	CCONJ
ejpam-5008	23	7	bci	bci	NOUN
ejpam-5008	23	8	-	-	PUNCT
ejpam-5008	23	9	algebras	algebra	NOUN
ejpam-5008	23	10	,	,	PUNCT
ejpam-5008	23	11	initiated	initiate	VERB
ejpam-5008	23	12	by	by	ADP
ejpam-5008	23	13	saunders	saunder	NOUN
ejpam-5008	23	14	mac	mac	PROPN
ejpam-5008	23	15	lane	lane	PROPN
ejpam-5008	23	16	in	in	ADP
ejpam-5008	23	17	1950	1950	NUM
ejpam-5008	23	18	and	and	CCONJ
ejpam-5008	23	19	further	far	ADV
ejpam-5008	23	20	expanded	expand	VERB
ejpam-5008	23	21	to	to	PART
ejpam-5008	23	22	include	include	VERB
ejpam-5008	23	23	bci	bci	NOUN
ejpam-5008	23	24	-	-	NOUN
ejpam-5008	23	25	algebras	algebras	X
ejpam-5008	23	26	,	,	PUNCT
ejpam-5008	23	27	has	have	AUX
ejpam-5008	23	28	been	be	AUX
ejpam-5008	23	29	instrumental	instrumental	ADJ
ejpam-5008	23	30	in	in	ADP
ejpam-5008	23	31	formalizing	formalizing	ADJ
ejpam-5008	23	32	logical	logical	ADJ
ejpam-5008	23	33	systems	system	NOUN
ejpam-5008	23	34	.	.	PUNCT
ejpam-5008	24	1	ideals	ideal	NOUN
ejpam-5008	24	2	,	,	PUNCT
ejpam-5008	24	3	with	with	ADP
ejpam-5008	24	4	their	their	PRON
ejpam-5008	24	5	algebraic	algebraic	ADJ
ejpam-5008	24	6	properties	property	NOUN
ejpam-5008	24	7	,	,	PUNCT
ejpam-5008	24	8	have	have	AUX
ejpam-5008	24	9	proven	prove	VERB
ejpam-5008	24	10	instrumental	instrumental	ADJ
ejpam-5008	24	11	in	in	ADP
ejpam-5008	24	12	unraveling	unravel	VERB
ejpam-5008	24	13	the	the	DET
ejpam-5008	24	14	complexities	complexity	NOUN
ejpam-5008	24	15	of	of	ADP
ejpam-5008	24	16	these	these	DET
ejpam-5008	24	17	systems	system	NOUN
ejpam-5008	24	18	and	and	CCONJ
ejpam-5008	24	19	their	their	PRON
ejpam-5008	24	20	applications	application	NOUN
ejpam-5008	24	21	in	in	ADP
ejpam-5008	24	22	formal	formal	ADJ
ejpam-5008	24	23	logic	logic	NOUN
ejpam-5008	24	24	[	[	X
ejpam-5008	24	25	11	11	NUM
ejpam-5008	24	26	,	,	PUNCT
ejpam-5008	24	27	19	19	NUM
ejpam-5008	24	28	]	]	PUNCT
ejpam-5008	24	29	.	.	PUNCT
ejpam-5008	25	1	simultaneously	simultaneously	ADV
ejpam-5008	25	2	,	,	PUNCT
ejpam-5008	25	3	the	the	DET
ejpam-5008	25	4	introduction	introduction	NOUN
ejpam-5008	25	5	of	of	ADP
ejpam-5008	25	6	fuzzy	fuzzy	ADJ
ejpam-5008	25	7	set	set	NOUN
ejpam-5008	25	8	theory	theory	NOUN
ejpam-5008	25	9	by	by	ADP
ejpam-5008	25	10	lotfi	lotfi	PROPN
ejpam-5008	25	11	zadeh	zadeh	PROPN
ejpam-5008	25	12	in	in	ADP
ejpam-5008	25	13	the	the	DET
ejpam-5008	25	14	1960s	1960	NOUN
ejpam-5008	25	15	revolutionized	revolutionize	VERB
ejpam-5008	25	16	our	our	PRON
ejpam-5008	25	17	ability	ability	NOUN
ejpam-5008	25	18	to	to	PART
ejpam-5008	25	19	mathematically	mathematically	ADV
ejpam-5008	25	20	represent	represent	VERB
ejpam-5008	25	21	and	and	CCONJ
ejpam-5008	25	22	manipulate	manipulate	VERB
ejpam-5008	25	23	uncertain	uncertain	ADJ
ejpam-5008	25	24	information	information	NOUN
ejpam-5008	25	25	[	[	X
ejpam-5008	25	26	14	14	NUM
ejpam-5008	25	27	]	]	PUNCT
ejpam-5008	25	28	.	.	PUNCT
ejpam-5008	26	1	the	the	DET
ejpam-5008	26	2	soft	soft	ADJ
ejpam-5008	26	3	computing	computing	NOUN
ejpam-5008	26	4	paradigm	paradigm	NOUN
ejpam-5008	26	5	,	,	PUNCT
ejpam-5008	26	6	initiated	initiate	VERB
ejpam-5008	26	7	by	by	ADP
ejpam-5008	26	8	lotfi	lotfi	PROPN
ejpam-5008	26	9	zadeh	zadeh	PROPN
ejpam-5008	26	10	,	,	PUNCT
ejpam-5008	26	11	further	far	ADV
ejpam-5008	26	12	elevated	elevate	VERB
ejpam-5008	26	13	our	our	PRON
ejpam-5008	26	14	approach	approach	NOUN
ejpam-5008	26	15	to	to	ADP
ejpam-5008	26	16	handling	handle	VERB
ejpam-5008	26	17	uncertainty	uncertainty	NOUN
ejpam-5008	26	18	,	,	PUNCT
ejpam-5008	26	19	imprecision	imprecision	NOUN
ejpam-5008	26	20	,	,	PUNCT
ejpam-5008	26	21	and	and	CCONJ
ejpam-5008	26	22	incomplete	incomplete	ADJ
ejpam-5008	26	23	data	datum	NOUN
ejpam-5008	26	24	[	[	X
ejpam-5008	26	25	6	6	NUM
ejpam-5008	26	26	,	,	PUNCT
ejpam-5008	26	27	16	16	NUM
ejpam-5008	26	28	]	]	PUNCT
ejpam-5008	26	29	.	.	PUNCT
ejpam-5008	27	1	in	in	ADP
ejpam-5008	27	2	this	this	DET
ejpam-5008	27	3	research	research	NOUN
ejpam-5008	27	4	,	,	PUNCT
ejpam-5008	27	5	we	we	PRON
ejpam-5008	27	6	introduce	introduce	VERB
ejpam-5008	27	7	two	two	NUM
ejpam-5008	27	8	pioneering	pioneering	ADJ
ejpam-5008	27	9	concepts	concept	NOUN
ejpam-5008	27	10	,	,	PUNCT
ejpam-5008	27	11	multi	multi	ADJ
ejpam-5008	27	12	-	-	ADJ
ejpam-5008	27	13	polar	polar	ADJ
ejpam-5008	27	14	q	q	ADJ
ejpam-5008	27	15	-	-	PUNCT
ejpam-5008	27	16	hesitant	hesitant	ADJ
ejpam-5008	27	17	fuzzy	fuzzy	ADJ
ejpam-5008	27	18	sets	set	NOUN
ejpam-5008	27	19	and	and	CCONJ
ejpam-5008	27	20	positive	positive	ADJ
ejpam-5008	27	21	implicative	implicative	ADJ
ejpam-5008	27	22	ideals	ideal	NOUN
ejpam-5008	27	23	,	,	PUNCT
ejpam-5008	27	24	building	build	VERB
ejpam-5008	27	25	upon	upon	SCONJ
ejpam-5008	27	26	the	the	DET
ejpam-5008	27	27	foundations	foundation	NOUN
ejpam-5008	27	28	laid	lay	VERB
ejpam-5008	27	29	by	by	ADP
ejpam-5008	27	30	zadeh	zadeh	PROPN
ejpam-5008	28	1	[	[	X
ejpam-5008	28	2	13	13	NUM
ejpam-5008	28	3	,	,	PUNCT
ejpam-5008	28	4	18	18	NUM
ejpam-5008	28	5	]	]	PUNCT
ejpam-5008	28	6	.	.	PUNCT
ejpam-5008	29	1	multi	multi	ADJ
ejpam-5008	29	2	-	-	ADJ
ejpam-5008	29	3	polar	polar	ADJ
ejpam-5008	29	4	q	q	ADJ
ejpam-5008	29	5	-	-	PUNCT
ejpam-5008	29	6	hesitant	hesitant	ADJ
ejpam-5008	29	7	fuzzy	fuzzy	ADJ
ejpam-5008	29	8	sets	set	NOUN
ejpam-5008	29	9	extend	extend	VERB
ejpam-5008	29	10	the	the	DET
ejpam-5008	29	11	notion	notion	NOUN
ejpam-5008	29	12	of	of	ADP
ejpam-5008	29	13	fuzzy	fuzzy	ADJ
ejpam-5008	29	14	sets	set	NOUN
ejpam-5008	29	15	to	to	PART
ejpam-5008	29	16	capture	capture	VERB
ejpam-5008	29	17	various	various	ADJ
ejpam-5008	29	18	degrees	degree	NOUN
ejpam-5008	29	19	of	of	ADP
ejpam-5008	29	20	hesitancy	hesitancy	NOUN
ejpam-5008	29	21	,	,	PUNCT
ejpam-5008	29	22	enabling	enable	VERB
ejpam-5008	29	23	the	the	DET
ejpam-5008	29	24	representation	representation	NOUN
ejpam-5008	29	25	and	and	CCONJ
ejpam-5008	29	26	manipulation	manipulation	NOUN
ejpam-5008	29	27	of	of	ADP
ejpam-5008	29	28	information	information	NOUN
ejpam-5008	29	29	that	that	PRON
ejpam-5008	29	30	is	be	AUX
ejpam-5008	29	31	not	not	PART
ejpam-5008	29	32	only	only	ADV
ejpam-5008	29	33	uncertain	uncertain	ADJ
ejpam-5008	29	34	but	but	CCONJ
ejpam-5008	29	35	also	also	ADV
ejpam-5008	29	36	characterized	characterize	VERB
ejpam-5008	29	37	by	by	ADP
ejpam-5008	29	38	different	different	ADJ
ejpam-5008	29	39	levels	level	NOUN
ejpam-5008	29	40	of	of	ADP
ejpam-5008	29	41	hesitation	hesitation	NOUN
ejpam-5008	29	42	[	[	X
ejpam-5008	29	43	12	12	NUM
ejpam-5008	29	44	]	]	PUNCT
ejpam-5008	29	45	.	.	PUNCT
ejpam-5008	30	1	positive	positive	ADJ
ejpam-5008	30	2	implicative	implicative	ADJ
ejpam-5008	30	3	ideals	ideal	NOUN
ejpam-5008	30	4	within	within	ADP
ejpam-5008	30	5	bck	bck	PROPN
ejpam-5008	30	6	/	/	SYM
ejpam-5008	30	7	bci	bci	NOUN
ejpam-5008	30	8	-	-	PUNCT
ejpam-5008	30	9	algebras	algebra	NOUN
ejpam-5008	30	10	,	,	PUNCT
ejpam-5008	30	11	tied	tie	VERB
ejpam-5008	30	12	to	to	ADP
ejpam-5008	30	13	the	the	DET
ejpam-5008	30	14	concept	concept	NOUN
ejpam-5008	30	15	of	of	ADP
ejpam-5008	30	16	logical	logical	ADJ
ejpam-5008	30	17	implication	implication	NOUN
ejpam-5008	30	18	,	,	PUNCT
ejpam-5008	30	19	provide	provide	VERB
ejpam-5008	30	20	a	a	DET
ejpam-5008	30	21	promising	promising	ADJ
ejpam-5008	30	22	avenue	avenue	NOUN
ejpam-5008	30	23	for	for	ADP
ejpam-5008	30	24	addressing	address	VERB
ejpam-5008	30	25	uncertainty	uncertainty	NOUN
ejpam-5008	30	26	while	while	SCONJ
ejpam-5008	30	27	preserving	preserve	VERB
ejpam-5008	30	28	the	the	DET
ejpam-5008	30	29	core	core	ADJ
ejpam-5008	30	30	logical	logical	ADJ
ejpam-5008	30	31	properties	property	NOUN
ejpam-5008	30	32	inherent	inherent	ADJ
ejpam-5008	30	33	in	in	ADP
ejpam-5008	30	34	these	these	DET
ejpam-5008	30	35	algebraic	algebraic	ADJ
ejpam-5008	30	36	structures	structure	NOUN
ejpam-5008	30	37	[	[	X
ejpam-5008	30	38	4	4	NUM
ejpam-5008	30	39	]	]	PUNCT
ejpam-5008	30	40	.	.	PUNCT
ejpam-5008	31	1	the	the	DET
ejpam-5008	31	2	theoretical	theoretical	ADJ
ejpam-5008	31	3	foundations	foundation	NOUN
ejpam-5008	31	4	laid	lay	VERB
ejpam-5008	31	5	by	by	ADP
ejpam-5008	31	6	zadeh	zadeh	PROPN
ejpam-5008	31	7	and	and	CCONJ
ejpam-5008	31	8	subsequent	subsequent	ADJ
ejpam-5008	31	9	developments	development	NOUN
ejpam-5008	31	10	paved	pave	VERB
ejpam-5008	31	11	the	the	DET
ejpam-5008	31	12	way	way	NOUN
ejpam-5008	31	13	for	for	ADP
ejpam-5008	31	14	integrating	integrate	VERB
ejpam-5008	31	15	fuzzy	fuzzy	ADJ
ejpam-5008	31	16	set	set	NOUN
ejpam-5008	31	17	theory	theory	NOUN
ejpam-5008	31	18	and	and	CCONJ
ejpam-5008	31	19	soft	soft	ADJ
ejpam-5008	31	20	computing	computing	NOUN
ejpam-5008	31	21	techniques	technique	NOUN
ejpam-5008	31	22	in	in	ADP
ejpam-5008	31	23	solving	solve	VERB
ejpam-5008	31	24	complex	complex	ADJ
ejpam-5008	31	25	realworld	realworld	NOUN
ejpam-5008	31	26	problems	problem	NOUN
ejpam-5008	31	27	[	[	X
ejpam-5008	31	28	6	6	NUM
ejpam-5008	31	29	,	,	PUNCT
ejpam-5008	31	30	14	14	NUM
ejpam-5008	31	31	,	,	PUNCT
ejpam-5008	31	32	16	16	NUM
ejpam-5008	31	33	]	]	PUNCT
ejpam-5008	31	34	.	.	PUNCT
ejpam-5008	32	1	building	build	VERB
ejpam-5008	32	2	on	on	ADP
ejpam-5008	32	3	this	this	DET
ejpam-5008	32	4	legacy	legacy	NOUN
ejpam-5008	32	5	,	,	PUNCT
ejpam-5008	32	6	our	our	PRON
ejpam-5008	32	7	research	research	NOUN
ejpam-5008	32	8	introduces	introduce	VERB
ejpam-5008	32	9	the	the	DET
ejpam-5008	32	10	innovative	innovative	ADJ
ejpam-5008	32	11	concepts	concept	NOUN
ejpam-5008	32	12	of	of	ADP
ejpam-5008	32	13	multi	multi	ADJ
ejpam-5008	32	14	-	-	ADJ
ejpam-5008	32	15	polar	polar	ADJ
ejpam-5008	32	16	q	q	ADJ
ejpam-5008	32	17	-	-	PUNCT
ejpam-5008	32	18	hesitant	hesitant	ADJ
ejpam-5008	32	19	fuzzy	fuzzy	ADJ
ejpam-5008	32	20	soft	soft	ADJ
ejpam-5008	32	21	implicative	implicative	ADJ
ejpam-5008	32	22	and	and	CCONJ
ejpam-5008	32	23	positive	positive	ADJ
ejpam-5008	32	24	implicative	implicative	ADJ
ejpam-5008	32	25	ideals	ideal	NOUN
ejpam-5008	32	26	within	within	ADP
ejpam-5008	32	27	the	the	DET
ejpam-5008	32	28	framework	framework	NOUN
ejpam-5008	32	29	of	of	ADP
ejpam-5008	32	30	bck	bck	PROPN
ejpam-5008	32	31	/	/	SYM
ejpam-5008	32	32	bci	bci	NOUN
ejpam-5008	32	33	-	-	PUNCT
ejpam-5008	32	34	algebras	algebras	X
ejpam-5008	32	35	.	.	PUNCT
ejpam-5008	33	1	this	this	DET
ejpam-5008	33	2	paper	paper	NOUN
ejpam-5008	33	3	aims	aim	VERB
ejpam-5008	33	4	to	to	PART
ejpam-5008	33	5	contribute	contribute	VERB
ejpam-5008	33	6	to	to	ADP
ejpam-5008	33	7	the	the	DET
ejpam-5008	33	8	evolving	evolve	VERB
ejpam-5008	33	9	landscape	landscape	NOUN
ejpam-5008	33	10	of	of	ADP
ejpam-5008	33	11	algebraic	algebraic	ADJ
ejpam-5008	33	12	structures	structure	NOUN
ejpam-5008	33	13	and	and	CCONJ
ejpam-5008	33	14	their	their	PRON
ejpam-5008	33	15	applications	application	NOUN
ejpam-5008	33	16	by	by	ADP
ejpam-5008	33	17	addressing	address	VERB
ejpam-5008	33	18	the	the	DET
ejpam-5008	33	19	challenges	challenge	NOUN
ejpam-5008	33	20	posed	pose	VERB
ejpam-5008	33	21	by	by	ADP
ejpam-5008	33	22	imprecision	imprecision	NOUN
ejpam-5008	33	23	and	and	CCONJ
ejpam-5008	33	24	uncertainty	uncertainty	NOUN
ejpam-5008	33	25	in	in	ADP
ejpam-5008	33	26	realworld	realworld	PROPN
ejpam-5008	33	27	scenarios	scenario	NOUN
ejpam-5008	33	28	.	.	PUNCT
ejpam-5008	34	1	we	we	PRON
ejpam-5008	34	2	draw	draw	VERB
ejpam-5008	34	3	inspiration	inspiration	NOUN
ejpam-5008	34	4	from	from	ADP
ejpam-5008	34	5	the	the	DET
ejpam-5008	34	6	extensive	extensive	ADJ
ejpam-5008	34	7	body	body	NOUN
ejpam-5008	34	8	of	of	ADP
ejpam-5008	34	9	work	work	NOUN
ejpam-5008	34	10	on	on	ADP
ejpam-5008	34	11	hesitant	hesitant	ADJ
ejpam-5008	34	12	fuzzy	fuzzy	ADJ
ejpam-5008	34	13	sets	set	NOUN
ejpam-5008	34	14	[	[	X
ejpam-5008	34	15	13	13	NUM
ejpam-5008	34	16	,	,	PUNCT
ejpam-5008	34	17	18	18	NUM
ejpam-5008	34	18	]	]	PUNCT
ejpam-5008	34	19	,	,	PUNCT
ejpam-5008	34	20	q	q	ADJ
ejpam-5008	34	21	-	-	PUNCT
ejpam-5008	34	22	fuzzy	fuzzy	ADJ
ejpam-5008	34	23	soft	soft	ADJ
ejpam-5008	34	24	sets	set	NOUN
ejpam-5008	34	25	[	[	X
ejpam-5008	34	26	7	7	NUM
ejpam-5008	34	27	]	]	PUNCT
ejpam-5008	34	28	,	,	PUNCT
ejpam-5008	34	29	and	and	CCONJ
ejpam-5008	34	30	multi	multi	ADJ
ejpam-5008	34	31	-	-	ADJ
ejpam-5008	34	32	polar	polar	ADJ
ejpam-5008	34	33	fuzzy	fuzzy	ADJ
ejpam-5008	34	34	sets	set	NOUN
ejpam-5008	34	35	[	[	X
ejpam-5008	34	36	5	5	NUM
ejpam-5008	34	37	]	]	PUNCT
ejpam-5008	34	38	.	.	PUNCT
ejpam-5008	35	1	to	to	PART
ejpam-5008	35	2	provide	provide	VERB
ejpam-5008	35	3	a	a	DET
ejpam-5008	35	4	comprehensive	comprehensive	ADJ
ejpam-5008	35	5	framework	framework	NOUN
ejpam-5008	35	6	,	,	PUNCT
ejpam-5008	35	7	we	we	PRON
ejpam-5008	35	8	incorporate	incorporate	VERB
ejpam-5008	35	9	historical	historical	ADJ
ejpam-5008	35	10	developments	development	NOUN
ejpam-5008	35	11	in	in	ADP
ejpam-5008	35	12	bck	bck	PROPN
ejpam-5008	35	13	/	/	SYM
ejpam-5008	35	14	bcialgebras	bcialgebra	NOUN
ejpam-5008	35	15	[	[	X
ejpam-5008	35	16	4	4	NUM
ejpam-5008	35	17	,	,	PUNCT
ejpam-5008	35	18	10	10	NUM
ejpam-5008	35	19	,	,	PUNCT
ejpam-5008	35	20	11	11	NUM
ejpam-5008	35	21	,	,	PUNCT
ejpam-5008	35	22	19	19	NUM
ejpam-5008	35	23	]	]	PUNCT
ejpam-5008	35	24	,	,	PUNCT
ejpam-5008	35	25	fuzzy	fuzzy	ADJ
ejpam-5008	35	26	set	set	NOUN
ejpam-5008	35	27	theory	theory	NOUN
ejpam-5008	35	28	[	[	X
ejpam-5008	35	29	6	6	NUM
ejpam-5008	35	30	,	,	PUNCT
ejpam-5008	35	31	14	14	NUM
ejpam-5008	35	32	,	,	PUNCT
ejpam-5008	35	33	16	16	NUM
ejpam-5008	35	34	]	]	PUNCT
ejpam-5008	35	35	,	,	PUNCT
ejpam-5008	35	36	and	and	CCONJ
ejpam-5008	35	37	soft	soft	ADJ
ejpam-5008	35	38	computing	computing	NOUN
ejpam-5008	35	39	techniques	technique	NOUN
ejpam-5008	35	40	[	[	X
ejpam-5008	35	41	6	6	NUM
ejpam-5008	35	42	,	,	PUNCT
ejpam-5008	35	43	16	16	NUM
ejpam-5008	35	44	]	]	PUNCT
ejpam-5008	35	45	.	.	PUNCT
ejpam-5008	36	1	the	the	DET
ejpam-5008	36	2	exploration	exploration	NOUN
ejpam-5008	36	3	of	of	ADP
ejpam-5008	36	4	multi	multi	ADJ
ejpam-5008	36	5	-	-	ADJ
ejpam-5008	36	6	polar	polar	ADJ
ejpam-5008	36	7	q	q	ADJ
ejpam-5008	36	8	-	-	PUNCT
ejpam-5008	36	9	hesitant	hesitant	ADJ
ejpam-5008	36	10	fuzzy	fuzzy	ADJ
ejpam-5008	36	11	soft	soft	ADJ
ejpam-5008	36	12	implicative	implicative	ADJ
ejpam-5008	36	13	and	and	CCONJ
ejpam-5008	36	14	positive	positive	ADJ
ejpam-5008	36	15	implicative	implicative	ADJ
ejpam-5008	36	16	ideals	ideal	NOUN
ejpam-5008	36	17	extends	extend	VERB
ejpam-5008	36	18	the	the	DET
ejpam-5008	36	19	traditional	traditional	ADJ
ejpam-5008	36	20	theory	theory	NOUN
ejpam-5008	36	21	of	of	ADP
ejpam-5008	36	22	ideals	ideal	NOUN
ejpam-5008	36	23	in	in	ADP
ejpam-5008	36	24	bck	bck	PROPN
ejpam-5008	36	25	/	/	SYM
ejpam-5008	36	26	bci	bci	NOUN
ejpam-5008	36	27	-	-	PUNCT
ejpam-5008	36	28	algebras	algebras	X
ejpam-5008	36	29	,	,	PUNCT
ejpam-5008	36	30	offering	offer	VERB
ejpam-5008	36	31	more	more	ADJ
ejpam-5008	36	32	flexibility	flexibility	NOUN
ejpam-5008	36	33	in	in	ADP
ejpam-5008	36	34	handling	handle	VERB
ejpam-5008	36	35	uncertain	uncertain	ADJ
ejpam-5008	36	36	and	and	CCONJ
ejpam-5008	36	37	hesitant	hesitant	ADJ
ejpam-5008	36	38	information	information	NOUN
ejpam-5008	36	39	.	.	PUNCT
ejpam-5008	37	1	moreover	moreover	ADV
ejpam-5008	37	2	,	,	PUNCT
ejpam-5008	37	3	the	the	DET
ejpam-5008	37	4	significance	significance	NOUN
ejpam-5008	37	5	of	of	ADP
ejpam-5008	37	6	our	our	PRON
ejpam-5008	37	7	258	258	NUM
ejpam-5008	37	8	work	work	NOUN
ejpam-5008	37	9	lies	lie	VERB
ejpam-5008	37	10	in	in	ADP
ejpam-5008	37	11	developing	develop	VERB
ejpam-5008	37	12	algorithms	algorithm	NOUN
ejpam-5008	37	13	and	and	CCONJ
ejpam-5008	37	14	methodologies	methodology	NOUN
ejpam-5008	37	15	for	for	ADP
ejpam-5008	37	16	efficient	efficient	ADJ
ejpam-5008	37	17	identification	identification	NOUN
ejpam-5008	37	18	and	and	CCONJ
ejpam-5008	37	19	characterization	characterization	NOUN
ejpam-5008	37	20	of	of	ADP
ejpam-5008	37	21	these	these	DET
ejpam-5008	37	22	novel	novel	ADJ
ejpam-5008	37	23	ideals	ideal	NOUN
ejpam-5008	37	24	[	[	X
ejpam-5008	37	25	2	2	NUM
ejpam-5008	37	26	,	,	PUNCT
ejpam-5008	37	27	8	8	NUM
ejpam-5008	37	28	]	]	PUNCT
ejpam-5008	37	29	.	.	PUNCT
ejpam-5008	38	1	we	we	PRON
ejpam-5008	38	2	demonstrate	demonstrate	VERB
ejpam-5008	38	3	the	the	DET
ejpam-5008	38	4	practical	practical	ADJ
ejpam-5008	38	5	applicability	applicability	NOUN
ejpam-5008	38	6	of	of	ADP
ejpam-5008	38	7	these	these	DET
ejpam-5008	38	8	concepts	concept	NOUN
ejpam-5008	38	9	through	through	ADP
ejpam-5008	38	10	examples	example	NOUN
ejpam-5008	38	11	and	and	CCONJ
ejpam-5008	38	12	case	case	NOUN
ejpam-5008	38	13	studies	study	NOUN
ejpam-5008	38	14	,	,	PUNCT
ejpam-5008	38	15	showcasing	showcase	VERB
ejpam-5008	38	16	their	their	PRON
ejpam-5008	38	17	prowess	prowess	NOUN
ejpam-5008	38	18	in	in	ADP
ejpam-5008	38	19	handling	handle	VERB
ejpam-5008	38	20	complex	complex	ADJ
ejpam-5008	38	21	,	,	PUNCT
ejpam-5008	38	22	uncertain	uncertain	ADJ
ejpam-5008	38	23	information	information	NOUN
ejpam-5008	38	24	and	and	CCONJ
ejpam-5008	38	25	aiding	aid	VERB
ejpam-5008	38	26	in	in	ADP
ejpam-5008	38	27	effective	effective	ADJ
ejpam-5008	38	28	problem	problem	NOUN
ejpam-5008	38	29	-	-	PUNCT
ejpam-5008	38	30	solving	solve	VERB
ejpam-5008	38	31	processes	process	NOUN
ejpam-5008	38	32	.	.	PUNCT
ejpam-5008	39	1	in	in	ADP
ejpam-5008	39	2	summary	summary	NOUN
ejpam-5008	39	3	,	,	PUNCT
ejpam-5008	39	4	our	our	PRON
ejpam-5008	39	5	research	research	NOUN
ejpam-5008	39	6	bridges	bridge	VERB
ejpam-5008	39	7	the	the	DET
ejpam-5008	39	8	gap	gap	NOUN
ejpam-5008	39	9	between	between	ADP
ejpam-5008	39	10	fuzzy	fuzzy	ADJ
ejpam-5008	39	11	logic	logic	NOUN
ejpam-5008	39	12	,	,	PUNCT
ejpam-5008	39	13	soft	soft	ADJ
ejpam-5008	39	14	computing	computing	NOUN
ejpam-5008	39	15	,	,	PUNCT
ejpam-5008	39	16	and	and	CCONJ
ejpam-5008	39	17	implicative	implicative	ADJ
ejpam-5008	39	18	ideals	ideal	NOUN
ejpam-5008	39	19	,	,	PUNCT
ejpam-5008	39	20	introducing	introduce	VERB
ejpam-5008	39	21	innovative	innovative	ADJ
ejpam-5008	39	22	mathematical	mathematical	ADJ
ejpam-5008	39	23	structures	structure	NOUN
ejpam-5008	39	24	tailored	tailor	VERB
ejpam-5008	39	25	to	to	ADP
ejpam-5008	39	26	real	real	ADJ
ejpam-5008	39	27	-	-	PUNCT
ejpam-5008	39	28	world	world	NOUN
ejpam-5008	39	29	decisionmaking	decisionmake	VERB
ejpam-5008	39	30	scenarios	scenario	NOUN
ejpam-5008	39	31	’	'	PUNCT
ejpam-5008	39	32	challenges	challenge	NOUN
ejpam-5008	39	33	.	.	PUNCT
ejpam-5008	40	1	the	the	DET
ejpam-5008	40	2	multi	multi	ADJ
ejpam-5008	40	3	-	-	ADJ
ejpam-5008	40	4	polar	polar	ADJ
ejpam-5008	40	5	q	q	ADJ
ejpam-5008	40	6	-	-	PUNCT
ejpam-5008	40	7	hesitant	hesitant	ADJ
ejpam-5008	40	8	fuzzy	fuzzy	ADJ
ejpam-5008	40	9	soft	soft	ADJ
ejpam-5008	40	10	implicative	implicative	ADJ
ejpam-5008	40	11	and	and	CCONJ
ejpam-5008	40	12	positive	positive	ADJ
ejpam-5008	40	13	implicative	implicative	ADJ
ejpam-5008	40	14	ideals	ideal	NOUN
ejpam-5008	40	15	presented	present	VERB
ejpam-5008	40	16	here	here	ADV
ejpam-5008	40	17	represent	represent	VERB
ejpam-5008	40	18	a	a	DET
ejpam-5008	40	19	valuable	valuable	ADJ
ejpam-5008	40	20	addition	addition	NOUN
ejpam-5008	40	21	to	to	ADP
ejpam-5008	40	22	the	the	DET
ejpam-5008	40	23	field	field	NOUN
ejpam-5008	40	24	of	of	ADP
ejpam-5008	40	25	algebraic	algebraic	ADJ
ejpam-5008	40	26	structures	structure	NOUN
ejpam-5008	40	27	,	,	PUNCT
ejpam-5008	40	28	providing	provide	VERB
ejpam-5008	40	29	a	a	DET
ejpam-5008	40	30	more	more	ADV
ejpam-5008	40	31	nuanced	nuanced	ADJ
ejpam-5008	40	32	and	and	CCONJ
ejpam-5008	40	33	adaptable	adaptable	ADJ
ejpam-5008	40	34	framework	framework	NOUN
ejpam-5008	40	35	for	for	ADP
ejpam-5008	40	36	addressing	address	VERB
ejpam-5008	40	37	uncertainties	uncertainty	NOUN
ejpam-5008	40	38	inherent	inherent	ADJ
ejpam-5008	40	39	in	in	ADP
ejpam-5008	40	40	practical	practical	ADJ
ejpam-5008	40	41	applications	application	NOUN
ejpam-5008	40	42	.	.	PUNCT
ejpam-5008	41	1	as	as	SCONJ
ejpam-5008	41	2	we	we	PRON
ejpam-5008	41	3	progress	progress	VERB
ejpam-5008	41	4	through	through	ADP
ejpam-5008	41	5	the	the	DET
ejpam-5008	41	6	subsequent	subsequent	ADJ
ejpam-5008	41	7	sections	section	NOUN
ejpam-5008	41	8	of	of	ADP
ejpam-5008	41	9	this	this	DET
ejpam-5008	41	10	paper	paper	NOUN
ejpam-5008	41	11	,	,	PUNCT
ejpam-5008	41	12	we	we	PRON
ejpam-5008	41	13	aim	aim	VERB
ejpam-5008	41	14	to	to	PART
ejpam-5008	41	15	provide	provide	VERB
ejpam-5008	41	16	in	in	ADP
ejpam-5008	41	17	-	-	PUNCT
ejpam-5008	41	18	depth	depth	NOUN
ejpam-5008	41	19	insights	insight	NOUN
ejpam-5008	41	20	into	into	ADP
ejpam-5008	41	21	the	the	DET
ejpam-5008	41	22	formal	formal	ADJ
ejpam-5008	41	23	definitions	definition	NOUN
ejpam-5008	41	24	,	,	PUNCT
ejpam-5008	41	25	properties	property	NOUN
ejpam-5008	41	26	,	,	PUNCT
ejpam-5008	41	27	and	and	CCONJ
ejpam-5008	41	28	practical	practical	ADJ
ejpam-5008	41	29	applications	application	NOUN
ejpam-5008	41	30	of	of	ADP
ejpam-5008	41	31	multi	multi	ADJ
ejpam-5008	41	32	-	-	ADJ
ejpam-5008	41	33	polar	polar	ADJ
ejpam-5008	41	34	qhesitant	qhesitant	ADJ
ejpam-5008	41	35	fuzzy	fuzzy	ADJ
ejpam-5008	41	36	soft	soft	ADJ
ejpam-5008	41	37	implicative	implicative	ADJ
ejpam-5008	41	38	and	and	CCONJ
ejpam-5008	41	39	positive	positive	ADJ
ejpam-5008	41	40	implicative	implicative	ADJ
ejpam-5008	41	41	ideals	ideal	NOUN
ejpam-5008	41	42	,	,	PUNCT
ejpam-5008	41	43	drawing	draw	VERB
ejpam-5008	41	44	from	from	ADP
ejpam-5008	41	45	a	a	DET
ejpam-5008	41	46	rich	rich	ADJ
ejpam-5008	41	47	tapestry	tapestry	NOUN
ejpam-5008	41	48	of	of	ADP
ejpam-5008	41	49	historical	historical	ADJ
ejpam-5008	41	50	developments	development	NOUN
ejpam-5008	41	51	[	[	X
ejpam-5008	41	52	8	8	NUM
ejpam-5008	41	53	,	,	PUNCT
ejpam-5008	41	54	17	17	NUM
ejpam-5008	41	55	]	]	PUNCT
ejpam-5008	41	56	.	.	PUNCT
ejpam-5008	42	1	this	this	DET
ejpam-5008	42	2	comprehensive	comprehensive	ADJ
ejpam-5008	42	3	framework	framework	NOUN
ejpam-5008	42	4	bridges	bridge	NOUN
ejpam-5008	42	5	historical	historical	ADJ
ejpam-5008	42	6	developments	development	NOUN
ejpam-5008	42	7	in	in	ADP
ejpam-5008	42	8	bck	bck	PROPN
ejpam-5008	42	9	/	/	SYM
ejpam-5008	42	10	bci	bci	NOUN
ejpam-5008	42	11	-	-	PUNCT
ejpam-5008	42	12	algebras	algebra	NOUN
ejpam-5008	42	13	,	,	PUNCT
ejpam-5008	42	14	fuzzy	fuzzy	ADJ
ejpam-5008	42	15	set	set	NOUN
ejpam-5008	42	16	theory	theory	NOUN
ejpam-5008	42	17	,	,	PUNCT
ejpam-5008	42	18	and	and	CCONJ
ejpam-5008	42	19	soft	soft	ADJ
ejpam-5008	42	20	computing	computing	NOUN
ejpam-5008	42	21	,	,	PUNCT
ejpam-5008	42	22	enhancing	enhance	VERB
ejpam-5008	42	23	our	our	PRON
ejpam-5008	42	24	capacity	capacity	NOUN
ejpam-5008	42	25	to	to	PART
ejpam-5008	42	26	address	address	VERB
ejpam-5008	42	27	real	real	ADJ
ejpam-5008	42	28	-	-	PUNCT
ejpam-5008	42	29	world	world	NOUN
ejpam-5008	42	30	challenges	challenge	NOUN
ejpam-5008	42	31	requiring	require	VERB
ejpam-5008	42	32	robust	robust	ADJ
ejpam-5008	42	33	solutions	solution	NOUN
ejpam-5008	42	34	in	in	ADP
ejpam-5008	42	35	the	the	DET
ejpam-5008	42	36	face	face	NOUN
ejpam-5008	42	37	of	of	ADP
ejpam-5008	42	38	uncertainty	uncertainty	NOUN
ejpam-5008	42	39	and	and	CCONJ
ejpam-5008	42	40	imprecision	imprecision	NOUN
ejpam-5008	42	41	.	.	PUNCT
ejpam-5008	43	1	in	in	ADP
ejpam-5008	43	2	the	the	DET
ejpam-5008	43	3	following	follow	VERB
ejpam-5008	43	4	sections	section	NOUN
ejpam-5008	43	5	of	of	ADP
ejpam-5008	43	6	this	this	DET
ejpam-5008	43	7	paper	paper	NOUN
ejpam-5008	43	8	,	,	PUNCT
ejpam-5008	43	9	we	we	PRON
ejpam-5008	43	10	will	will	AUX
ejpam-5008	43	11	develop	develop	VERB
ejpam-5008	43	12	into	into	ADP
ejpam-5008	43	13	the	the	DET
ejpam-5008	43	14	formal	formal	ADJ
ejpam-5008	43	15	definitions	definition	NOUN
ejpam-5008	43	16	,	,	PUNCT
ejpam-5008	43	17	properties	property	NOUN
ejpam-5008	43	18	,	,	PUNCT
ejpam-5008	43	19	and	and	CCONJ
ejpam-5008	43	20	practical	practical	ADJ
ejpam-5008	43	21	applications	application	NOUN
ejpam-5008	43	22	of	of	ADP
ejpam-5008	43	23	multi	multi	ADJ
ejpam-5008	43	24	-	-	ADJ
ejpam-5008	43	25	polar	polar	ADJ
ejpam-5008	43	26	q	q	ADJ
ejpam-5008	43	27	-	-	PUNCT
ejpam-5008	43	28	hesitant	hesitant	ADJ
ejpam-5008	43	29	fuzzy	fuzzy	ADJ
ejpam-5008	43	30	soft	soft	ADJ
ejpam-5008	43	31	implicative	implicative	ADJ
ejpam-5008	43	32	and	and	CCONJ
ejpam-5008	43	33	positive	positive	ADJ
ejpam-5008	43	34	implicative	implicative	ADJ
ejpam-5008	43	35	ideals	ideal	NOUN
ejpam-5008	43	36	.	.	PUNCT
ejpam-5008	44	1	our	our	PRON
ejpam-5008	44	2	aim	aim	NOUN
ejpam-5008	44	3	is	be	AUX
ejpam-5008	44	4	to	to	PART
ejpam-5008	44	5	provide	provide	VERB
ejpam-5008	44	6	a	a	DET
ejpam-5008	44	7	comprehensive	comprehensive	ADJ
ejpam-5008	44	8	framework	framework	NOUN
ejpam-5008	44	9	that	that	PRON
ejpam-5008	44	10	bridges	bridge	VERB
ejpam-5008	44	11	historical	historical	ADJ
ejpam-5008	44	12	developments	development	NOUN
ejpam-5008	44	13	in	in	ADP
ejpam-5008	44	14	bck	bck	PROPN
ejpam-5008	44	15	/	/	SYM
ejpam-5008	44	16	bci	bci	NOUN
ejpam-5008	44	17	-	-	PUNCT
ejpam-5008	44	18	algebras	algebra	NOUN
ejpam-5008	44	19	,	,	PUNCT
ejpam-5008	44	20	fuzzy	fuzzy	ADJ
ejpam-5008	44	21	set	set	NOUN
ejpam-5008	44	22	theory	theory	NOUN
ejpam-5008	44	23	,	,	PUNCT
ejpam-5008	44	24	and	and	CCONJ
ejpam-5008	44	25	soft	soft	ADJ
ejpam-5008	44	26	computing	computing	NOUN
ejpam-5008	44	27	,	,	PUNCT
ejpam-5008	44	28	thereby	thereby	ADV
ejpam-5008	44	29	enhancing	enhance	VERB
ejpam-5008	44	30	our	our	PRON
ejpam-5008	44	31	ability	ability	NOUN
ejpam-5008	44	32	to	to	PART
ejpam-5008	44	33	tackle	tackle	VERB
ejpam-5008	44	34	real	real	ADJ
ejpam-5008	44	35	-	-	PUNCT
ejpam-5008	44	36	world	world	NOUN
ejpam-5008	44	37	problems	problem	NOUN
ejpam-5008	44	38	that	that	PRON
ejpam-5008	44	39	demand	demand	VERB
ejpam-5008	44	40	robust	robust	ADJ
ejpam-5008	44	41	solutions	solution	NOUN
ejpam-5008	44	42	in	in	ADP
ejpam-5008	44	43	the	the	DET
ejpam-5008	44	44	presence	presence	NOUN
ejpam-5008	44	45	of	of	ADP
ejpam-5008	44	46	uncertainty	uncertainty	NOUN
ejpam-5008	44	47	and	and	CCONJ
ejpam-5008	44	48	imprecision	imprecision	NOUN
ejpam-5008	44	49	.	.	PUNCT
ejpam-5008	45	1	2	2	X
ejpam-5008	45	2	.	.	NUM
ejpam-5008	45	3	preliminaries	preliminary	NOUN
ejpam-5008	46	1	[	[	X
ejpam-5008	46	2	9],[15	9],[15	X
ejpam-5008	46	3	]	]	PUNCT
ejpam-5008	46	4	in	in	ADP
ejpam-5008	46	5	this	this	DET
ejpam-5008	46	6	section	section	NOUN
ejpam-5008	46	7	we	we	PRON
ejpam-5008	46	8	retrieve	retrieve	VERB
ejpam-5008	46	9	some	some	DET
ejpam-5008	46	10	basic	basic	ADJ
ejpam-5008	46	11	definitions	definition	NOUN
ejpam-5008	46	12	which	which	PRON
ejpam-5008	46	13	will	will	AUX
ejpam-5008	46	14	be	be	AUX
ejpam-5008	46	15	implemented	implement	VERB
ejpam-5008	46	16	in	in	ADP
ejpam-5008	46	17	our	our	PRON
ejpam-5008	46	18	work	work	NOUN
ejpam-5008	46	19	.	.	PUNCT
ejpam-5008	47	1	definition	definition	NOUN
ejpam-5008	47	2	1	1	NUM
ejpam-5008	47	3	.	.	PUNCT
ejpam-5008	48	1	an	an	DET
ejpam-5008	48	2	algebra	algebra	NOUN
ejpam-5008	48	3	(	(	PUNCT
ejpam-5008	48	4	b	b	NOUN
ejpam-5008	48	5	;	;	PUNCT
ejpam-5008	48	6	∗	∗	NOUN
ejpam-5008	48	7	,	,	PUNCT
ejpam-5008	48	8	0	0	NUM
ejpam-5008	48	9	)	)	PUNCT
ejpam-5008	48	10	of	of	ADP
ejpam-5008	48	11	type	type	NOUN
ejpam-5008	48	12	(	(	PUNCT
ejpam-5008	48	13	2	2	NUM
ejpam-5008	48	14	,	,	PUNCT
ejpam-5008	48	15	0	0	NUM
ejpam-5008	48	16	)	)	PUNCT
ejpam-5008	48	17	is	be	AUX
ejpam-5008	48	18	called	call	VERB
ejpam-5008	48	19	bck	bck	NOUN
ejpam-5008	48	20	-	-	PUNCT
ejpam-5008	48	21	algebra	algebra	NOUN
ejpam-5008	48	22	if	if	SCONJ
ejpam-5008	48	23	it	it	PRON
ejpam-5008	48	24	fulfills	fulfill	VERB
ejpam-5008	48	25	the	the	DET
ejpam-5008	48	26	given	give	VERB
ejpam-5008	48	27	requirements	requirement	NOUN
ejpam-5008	48	28	:	:	PUNCT
ejpam-5008	48	29	b1	b1	NOUN
ejpam-5008	48	30	:	:	PUNCT
ejpam-5008	48	31	∀α,ϖ,∆	∀α,ϖ,∆	PROPN
ejpam-5008	48	32	∈	∈	PROPN
ejpam-5008	48	33	b	b	PROPN
ejpam-5008	48	34	,	,	PUNCT
ejpam-5008	48	35	(	(	PUNCT
ejpam-5008	48	36	(	(	PUNCT
ejpam-5008	48	37	α	α	NOUN
ejpam-5008	48	38	∗ϖ	∗ϖ	PROPN
ejpam-5008	48	39	)	)	PUNCT
ejpam-5008	48	40	∗	∗	NOUN
ejpam-5008	48	41	(	(	PUNCT
ejpam-5008	48	42	α	α	PROPN
ejpam-5008	48	43	∗∆	∗∆	PROPN
ejpam-5008	48	44	)	)	PUNCT
ejpam-5008	48	45	)	)	PUNCT
ejpam-5008	48	46	∗	∗	NOUN
ejpam-5008	48	47	(	(	PUNCT
ejpam-5008	48	48	∆	∆	X
ejpam-5008	48	49	∗ϖ	∗ϖ	NOUN
ejpam-5008	48	50	)	)	PUNCT
ejpam-5008	48	51	=	=	SYM
ejpam-5008	48	52	0	0	X
ejpam-5008	48	53	.	.	X
ejpam-5008	48	54	b2	b2	NOUN
ejpam-5008	48	55	:	:	PUNCT
ejpam-5008	48	56	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	48	57	∈	∈	PROPN
ejpam-5008	48	58	b	b	PROPN
ejpam-5008	48	59	,	,	PUNCT
ejpam-5008	48	60	(	(	PUNCT
ejpam-5008	48	61	α	α	NOUN
ejpam-5008	48	62	∗	∗	X
ejpam-5008	48	63	(	(	PUNCT
ejpam-5008	48	64	α	α	NOUN
ejpam-5008	48	65	∗ϖ	∗ϖ	PROPN
ejpam-5008	48	66	)	)	PUNCT
ejpam-5008	48	67	)	)	PUNCT
ejpam-5008	49	1	∗ϖ	∗ϖ	NOUN
ejpam-5008	49	2	=	=	SYM
ejpam-5008	49	3	0	0	X
ejpam-5008	49	4	.	.	PUNCT
ejpam-5008	49	5	b3	b3	PROPN
ejpam-5008	49	6	∀α	∀α	NOUN
ejpam-5008	49	7	∈	∈	PROPN
ejpam-5008	49	8	b	b	NOUN
ejpam-5008	49	9	,	,	PUNCT
ejpam-5008	49	10	α	α	PROPN
ejpam-5008	49	11	∗	∗	NOUN
ejpam-5008	49	12	α	α	NOUN
ejpam-5008	49	13	=	=	SYM
ejpam-5008	49	14	0	0	X
ejpam-5008	49	15	.	.	PUNCT
ejpam-5008	50	1	b4	b4	NOUN
ejpam-5008	50	2	:	:	PUNCT
ejpam-5008	50	3	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	50	4	∈	∈	PROPN
ejpam-5008	50	5	b	b	NOUN
ejpam-5008	50	6	,	,	PUNCT
ejpam-5008	50	7	if	if	SCONJ
ejpam-5008	50	8	α	α	DET
ejpam-5008	50	9	∗ϖ	∗ϖ	NOUN
ejpam-5008	50	10	=	=	SYM
ejpam-5008	50	11	0	0	NUM
ejpam-5008	50	12	,	,	PUNCT
ejpam-5008	50	13	ϖ	ϖ	PROPN
ejpam-5008	50	14	∗	∗	NOUN
ejpam-5008	50	15	α	α	NOUN
ejpam-5008	50	16	=	=	NOUN
ejpam-5008	50	17	0	0	NUM
ejpam-5008	51	1	then	then	ADV
ejpam-5008	51	2	α	α	PROPN
ejpam-5008	51	3	=	=	VERB
ejpam-5008	51	4	ϖ.	ϖ.	PROPN
ejpam-5008	51	5	b5	b5	PROPN
ejpam-5008	51	6	:	:	PUNCT
ejpam-5008	51	7	∀α	∀α	X
ejpam-5008	51	8	∈	∈	PROPN
ejpam-5008	51	9	b	b	NOUN
ejpam-5008	51	10	,	,	PUNCT
ejpam-5008	51	11	0	0	NUM
ejpam-5008	51	12	∗	∗	NOUN
ejpam-5008	51	13	α	α	NOUN
ejpam-5008	51	14	=	=	NOUN
ejpam-5008	51	15	0	0	NUM
ejpam-5008	51	16	.	.	PUNCT
ejpam-5008	52	1	any	any	DET
ejpam-5008	52	2	bck	bck	NOUN
ejpam-5008	52	3	-	-	PUNCT
ejpam-5008	52	4	algebra	algebra	NOUN
ejpam-5008	52	5	b	b	NOUN
ejpam-5008	52	6	satisfies	satisfy	VERB
ejpam-5008	52	7	the	the	DET
ejpam-5008	52	8	following	follow	VERB
ejpam-5008	52	9	axioms	axiom	NOUN
ejpam-5008	52	10	:	:	PUNCT
ejpam-5008	52	11	b6	b6	NOUN
ejpam-5008	52	12	:	:	PUNCT
ejpam-5008	52	13	∀α	∀α	VERB
ejpam-5008	52	14	∈	∈	PROPN
ejpam-5008	52	15	b	b	NOUN
ejpam-5008	52	16	,	,	PUNCT
ejpam-5008	52	17	α	α	NOUN
ejpam-5008	52	18	∗	∗	NOUN
ejpam-5008	52	19	0	0	NUM
ejpam-5008	53	1	=	=	SYM
ejpam-5008	53	2	α	α	X
ejpam-5008	53	3	.	.	PUNCT
ejpam-5008	54	1	b7	b7	PROPN
ejpam-5008	54	2	:	:	PUNCT
ejpam-5008	54	3	∀α,ϖ,∆	∀α,ϖ,∆	PROPN
ejpam-5008	54	4	∈	∈	PROPN
ejpam-5008	54	5	b	b	PROPN
ejpam-5008	54	6	,	,	PUNCT
ejpam-5008	54	7	if	if	SCONJ
ejpam-5008	54	8	α	α	PRON
ejpam-5008	54	9	≤	≤	X
ejpam-5008	55	1	ϖ	ϖ	INTJ
ejpam-5008	55	2	then	then	ADV
ejpam-5008	55	3	α	α	PROPN
ejpam-5008	55	4	∗∆	∗∆	PROPN
ejpam-5008	55	5	≤	≤	PROPN
ejpam-5008	55	6	ϖ	ϖ	ADP
ejpam-5008	55	7	∗∆	∗∆	PROPN
ejpam-5008	55	8	and	and	CCONJ
ejpam-5008	55	9	∆	∆	PROPN
ejpam-5008	55	10	∗ϖ	∗ϖ	PROPN
ejpam-5008	55	11	≤	≤	PUNCT
ejpam-5008	55	12	∆	∆	PROPN
ejpam-5008	55	13	∗	∗	NOUN
ejpam-5008	55	14	α	α	NOUN
ejpam-5008	55	15	.	.	PUNCT
ejpam-5008	55	16	259	259	NUM
ejpam-5008	55	17	b8	b8	PROPN
ejpam-5008	55	18	:	:	PUNCT
ejpam-5008	55	19	∀α,ϖ,∆	∀α,ϖ,∆	PROPN
ejpam-5008	55	20	∈	∈	PROPN
ejpam-5008	55	21	b	b	PROPN
ejpam-5008	55	22	,	,	PUNCT
ejpam-5008	55	23	(	(	PUNCT
ejpam-5008	55	24	α	α	NOUN
ejpam-5008	55	25	∗ϖ	∗ϖ	PROPN
ejpam-5008	55	26	)	)	PUNCT
ejpam-5008	55	27	∗∆	∗∆	PROPN
ejpam-5008	55	28	=	=	SYM
ejpam-5008	55	29	(	(	PUNCT
ejpam-5008	55	30	α	α	PROPN
ejpam-5008	55	31	∗∆	∗∆	PROPN
ejpam-5008	55	32	)	)	PUNCT
ejpam-5008	55	33	∗ϖ.	∗ϖ.	PRON
ejpam-5008	55	34	where	where	SCONJ
ejpam-5008	55	35	α	α	PRON
ejpam-5008	55	36	≤	≤	X
ejpam-5008	55	37	ϖ	ϖ	INTJ
ejpam-5008	55	38	if	if	SCONJ
ejpam-5008	55	39	any	any	DET
ejpam-5008	55	40	only	only	ADV
ejpam-5008	55	41	if	if	SCONJ
ejpam-5008	55	42	α	α	DET
ejpam-5008	55	43	∗ϖ	∗ϖ	NOUN
ejpam-5008	55	44	=	=	SYM
ejpam-5008	55	45	0	0	PUNCT
ejpam-5008	55	46	define	define	VERB
ejpam-5008	55	47	a	a	DET
ejpam-5008	55	48	binary	binary	ADJ
ejpam-5008	55	49	relation	relation	NOUN
ejpam-5008	55	50	⩽	⩽	ADJ
ejpam-5008	55	51	on	on	ADP
ejpam-5008	55	52	b	b	NUM
ejpam-5008	55	53	by	by	ADP
ejpam-5008	55	54	letting	let	VERB
ejpam-5008	55	55	α	α	PRON
ejpam-5008	55	56	⩽	⩽	PROPN
ejpam-5008	55	57	ϖ	ϖ	INTJ
ejpam-5008	55	58	if	if	SCONJ
ejpam-5008	56	1	and	and	CCONJ
ejpam-5008	56	2	only	only	ADV
ejpam-5008	56	3	if	if	SCONJ
ejpam-5008	56	4	α	α	PRON
ejpam-5008	56	5	∗ϖ	∗ϖ	VERB
ejpam-5008	56	6	=	=	NOUN
ejpam-5008	56	7	0	0	X
ejpam-5008	56	8	.	.	PUNCT
ejpam-5008	57	1	then	then	ADV
ejpam-5008	57	2	(	(	PUNCT
ejpam-5008	57	3	b;⩽	b;⩽	NOUN
ejpam-5008	57	4	)	)	PUNCT
ejpam-5008	57	5	is	be	AUX
ejpam-5008	57	6	a	a	DET
ejpam-5008	57	7	partially	partially	ADV
ejpam-5008	57	8	ordered	order	VERB
ejpam-5008	57	9	set	set	VERB
ejpam-5008	57	10	with	with	ADP
ejpam-5008	57	11	the	the	DET
ejpam-5008	57	12	least	least	ADJ
ejpam-5008	57	13	element	element	NOUN
ejpam-5008	57	14	0	0	NUM
ejpam-5008	57	15	.	.	PUNCT
ejpam-5008	58	1	in	in	ADP
ejpam-5008	58	2	any	any	DET
ejpam-5008	58	3	bck	bck	NOUN
ejpam-5008	58	4	-	-	PUNCT
ejpam-5008	58	5	algebra	algebra	NOUN
ejpam-5008	58	6	b	b	NOUN
ejpam-5008	58	7	,	,	PUNCT
ejpam-5008	58	8	the	the	DET
ejpam-5008	58	9	following	follow	VERB
ejpam-5008	58	10	hold	hold	NOUN
ejpam-5008	58	11	:	:	PUNCT
ejpam-5008	58	12	b9	b9	PROPN
ejpam-5008	58	13	:	:	PUNCT
ejpam-5008	58	14	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	58	15	∈	∈	PROPN
ejpam-5008	58	16	b	b	PROPN
ejpam-5008	58	17	,	,	PUNCT
ejpam-5008	58	18	α	α	PROPN
ejpam-5008	58	19	∗ϖ	∗ϖ	PROPN
ejpam-5008	58	20	⩽	⩽	PROPN
ejpam-5008	58	21	α	α	X
ejpam-5008	58	22	.	.	PUNCT
ejpam-5008	59	1	b10	b10	PROPN
ejpam-5008	59	2	:	:	PUNCT
ejpam-5008	59	3	∀α,ϖ,∆	∀α,ϖ,∆	PROPN
ejpam-5008	59	4	∈	∈	PROPN
ejpam-5008	59	5	b	b	PROPN
ejpam-5008	59	6	,	,	PUNCT
ejpam-5008	59	7	(	(	PUNCT
ejpam-5008	59	8	α	α	PROPN
ejpam-5008	59	9	∗∆	∗∆	PROPN
ejpam-5008	59	10	)	)	PUNCT
ejpam-5008	59	11	∗	∗	NOUN
ejpam-5008	59	12	(	(	PUNCT
ejpam-5008	59	13	ϖ	ϖ	NOUN
ejpam-5008	59	14	∗∆	∗∆	PROPN
ejpam-5008	59	15	)	)	PUNCT
ejpam-5008	59	16	⩽	⩽	NOUN
ejpam-5008	59	17	α	α	PROPN
ejpam-5008	59	18	∗ϖ.	∗ϖ.	PUNCT
ejpam-5008	59	19	b11	b11	PROPN
ejpam-5008	59	20	:	:	PUNCT
ejpam-5008	59	21	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	59	22	∈	∈	PROPN
ejpam-5008	59	23	b	b	PROPN
ejpam-5008	59	24	,	,	PUNCT
ejpam-5008	59	25	α	α	PROPN
ejpam-5008	59	26	∗	∗	NOUN
ejpam-5008	59	27	(	(	PUNCT
ejpam-5008	59	28	α	α	NOUN
ejpam-5008	59	29	∗	∗	X
ejpam-5008	59	30	(	(	PUNCT
ejpam-5008	59	31	α	α	NOUN
ejpam-5008	59	32	∗ϖ	∗ϖ	PROPN
ejpam-5008	59	33	)	)	PUNCT
ejpam-5008	59	34	)	)	PUNCT
ejpam-5008	60	1	=	=	PUNCT
ejpam-5008	60	2	α	α	X
ejpam-5008	60	3	∗ϖ.	∗ϖ.	VERB
ejpam-5008	60	4	any	any	DET
ejpam-5008	60	5	bci	bci	NOUN
ejpam-5008	60	6	-	-	NOUN
ejpam-5008	60	7	algebra	algebra	NOUN
ejpam-5008	60	8	b	b	NOUN
ejpam-5008	60	9	satisfies	satisfy	VERB
ejpam-5008	60	10	the	the	DET
ejpam-5008	60	11	following	following	ADJ
ejpam-5008	60	12	axioms	axiom	NOUN
ejpam-5008	60	13	:	:	PUNCT
ejpam-5008	61	1	bi12	bi12	PROPN
ejpam-5008	61	2	:	:	PUNCT
ejpam-5008	61	3	∀α,ϖ,∆	∀α,ϖ,∆	PROPN
ejpam-5008	61	4	∈	∈	PROPN
ejpam-5008	61	5	b	b	PROPN
ejpam-5008	61	6	,	,	PUNCT
ejpam-5008	61	7	0∗(0∗((α∗∆)∗(ϖ∗∆	0∗(0∗((α∗∆)∗(ϖ∗∆	PROPN
ejpam-5008	61	8	)	)	PUNCT
ejpam-5008	61	9	)	)	PUNCT
ejpam-5008	61	10	)	)	PUNCT
ejpam-5008	61	11	)	)	PUNCT
ejpam-5008	62	1	=	=	PRON
ejpam-5008	62	2	(	(	PUNCT
ejpam-5008	62	3	0∗ϖ)∗(0∗α	0∗ϖ)∗(0∗α	NOUN
ejpam-5008	62	4	)	)	PUNCT
ejpam-5008	62	5	.	.	PUNCT
ejpam-5008	63	1	∀α,ϖ	∀α,ϖ	PUNCT
ejpam-5008	63	2	∈	∈	PROPN
ejpam-5008	63	3	b	b	NOUN
ejpam-5008	63	4	,	,	PUNCT
ejpam-5008	63	5	0∗(0∗(α∗ϖ	0∗(0∗(α∗ϖ	NOUN
ejpam-5008	63	6	)	)	PUNCT
ejpam-5008	63	7	)	)	PUNCT
ejpam-5008	64	1	=	=	PUNCT
ejpam-5008	64	2	(	(	PUNCT
ejpam-5008	64	3	0	0	NUM
ejpam-5008	64	4	∗	∗	NOUN
ejpam-5008	64	5	α	α	NOUN
ejpam-5008	64	6	∗ϖ	∗ϖ	PROPN
ejpam-5008	64	7	)	)	PUNCT
ejpam-5008	64	8	∗	∗	NOUN
ejpam-5008	64	9	(	(	PUNCT
ejpam-5008	64	10	0	0	NUM
ejpam-5008	64	11	∗	∗	NOUN
ejpam-5008	64	12	α	α	NOUN
ejpam-5008	64	13	)	)	PUNCT
ejpam-5008	64	14	.	.	PUNCT
ejpam-5008	65	1	definition	definition	NOUN
ejpam-5008	65	2	2	2	NUM
ejpam-5008	65	3	.	.	PUNCT
ejpam-5008	66	1	[	[	X
ejpam-5008	66	2	11	11	NUM
ejpam-5008	66	3	]	]	X
ejpam-5008	66	4	a	a	DET
ejpam-5008	66	5	non	non	ADJ
ejpam-5008	66	6	-	-	ADJ
ejpam-5008	66	7	empty	empty	ADJ
ejpam-5008	66	8	subset	subset	ADJ
ejpam-5008	66	9	ĭ	ĭ	NOUN
ejpam-5008	66	10	of	of	ADP
ejpam-5008	66	11	a	a	DET
ejpam-5008	66	12	bck	bck	VERB
ejpam-5008	66	13	/	/	SYM
ejpam-5008	66	14	bci	bci	NOUN
ejpam-5008	66	15	-	-	NOUN
ejpam-5008	66	16	algebra	algebra	ADJ
ejpam-5008	66	17	b	b	NOUN
ejpam-5008	66	18	is	be	AUX
ejpam-5008	66	19	called	call	VERB
ejpam-5008	66	20	an	an	DET
ejpam-5008	66	21	ideal	ideal	NOUN
ejpam-5008	66	22	given	give	VERB
ejpam-5008	66	23	that	that	SCONJ
ejpam-5008	66	24	it	it	PRON
ejpam-5008	66	25	satisfies	satisfy	VERB
ejpam-5008	66	26	the	the	DET
ejpam-5008	66	27	required	required	ADJ
ejpam-5008	66	28	standards	standard	NOUN
ejpam-5008	66	29	:	:	PUNCT
ejpam-5008	66	30	id1	id1	NOUN
ejpam-5008	66	31	:	:	PUNCT
ejpam-5008	66	32	0	0	NUM
ejpam-5008	66	33	∈	∈	PROPN
ejpam-5008	66	34	ĭ	ĭ	PROPN
ejpam-5008	66	35	id2	id2	PROPN
ejpam-5008	66	36	:	:	PUNCT
ejpam-5008	66	37	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	66	38	∈	∈	PROPN
ejpam-5008	66	39	b	b	NOUN
ejpam-5008	66	40	α	α	NUM
ejpam-5008	66	41	∗ϖ	∗ϖ	PROPN
ejpam-5008	66	42	∈	∈	PROPN
ejpam-5008	66	43	ĭ	ĭ	NOUN
ejpam-5008	66	44	,	,	PUNCT
ejpam-5008	67	1	ϖ	ϖ	PROPN
ejpam-5008	67	2	∈	∈	NOUN
ejpam-5008	68	1	i	i	PRON
ejpam-5008	68	2	−→	−→	VERB
ejpam-5008	68	3	α	α	PROPN
ejpam-5008	68	4	∈	∈	PROPN
ejpam-5008	68	5	ĭ	ĭ	NOUN
ejpam-5008	68	6	definition	definition	NOUN
ejpam-5008	68	7	3	3	NUM
ejpam-5008	68	8	.	.	PUNCT
ejpam-5008	69	1	[	[	X
ejpam-5008	69	2	3	3	X
ejpam-5008	69	3	]	]	X
ejpam-5008	69	4	let	let	VERB
ejpam-5008	69	5	b	b	PRON
ejpam-5008	69	6	be	be	AUX
ejpam-5008	69	7	a	a	DET
ejpam-5008	69	8	bck	bck	VERB
ejpam-5008	69	9	/	/	SYM
ejpam-5008	69	10	bci	bci	NOUN
ejpam-5008	69	11	-	-	NOUN
ejpam-5008	69	12	algebra	algebra	NOUN
ejpam-5008	69	13	.	.	PUNCT
ejpam-5008	70	1	a	a	DET
ejpam-5008	70	2	hesitant	hesitant	ADJ
ejpam-5008	70	3	fuzzy	fuzzy	ADJ
ejpam-5008	70	4	set	set	NOUN
ejpam-5008	70	5	,	,	PUNCT
ejpam-5008	70	6	s	s	PART
ejpam-5008	70	7	:	:	PUNCT
ejpam-5008	70	8	=	=	SYM
ejpam-5008	70	9	{	{	PUNCT
ejpam-5008	70	10	(	(	PUNCT
ejpam-5008	70	11	α	α	NOUN
ejpam-5008	70	12	,	,	PUNCT
ejpam-5008	70	13	µs(α	µs(α	ADJ
ejpam-5008	70	14	)	)	PUNCT
ejpam-5008	70	15	)	)	PUNCT
ejpam-5008	71	1	|	|	ADV
ejpam-5008	71	2	α	α	X
ejpam-5008	71	3	∈	∈	PROPN
ejpam-5008	71	4	b	b	AUX
ejpam-5008	71	5	}	}	PUNCT
ejpam-5008	71	6	on	on	ADP
ejpam-5008	71	7	b	b	PROPN
ejpam-5008	71	8	is	be	AUX
ejpam-5008	71	9	called	call	VERB
ejpam-5008	71	10	a	a	DET
ejpam-5008	71	11	hesitant	hesitant	ADJ
ejpam-5008	71	12	fuzzy	fuzzy	ADJ
ejpam-5008	71	13	ideal	ideal	NOUN
ejpam-5008	71	14	of	of	ADP
ejpam-5008	71	15	b	b	NOUN
ejpam-5008	71	16	if	if	SCONJ
ejpam-5008	71	17	it	it	PRON
ejpam-5008	71	18	satisfies	satisfy	VERB
ejpam-5008	71	19	:	:	PUNCT
ejpam-5008	71	20	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	71	21	∈	∈	PROPN
ejpam-5008	71	22	b	b	PROPN
ejpam-5008	71	23	,	,	PUNCT
ejpam-5008	71	24	µs(α	µs(α	ADJ
ejpam-5008	71	25	∗ϖ	∗ϖ	NOUN
ejpam-5008	71	26	)	)	PUNCT
ejpam-5008	71	27	∩	∩	NOUN
ejpam-5008	71	28	µs(ϖ	µs(ϖ	NOUN
ejpam-5008	71	29	)	)	PUNCT
ejpam-5008	71	30	⊆	⊆	NUM
ejpam-5008	71	31	µs(α	µs(α	NOUN
ejpam-5008	71	32	)	)	PUNCT
ejpam-5008	71	33	⊆	⊆	X
ejpam-5008	71	34	µs(0	µs(0	X
ejpam-5008	71	35	)	)	PUNCT
ejpam-5008	71	36	(	(	PUNCT
ejpam-5008	71	37	1	1	X
ejpam-5008	71	38	)	)	PUNCT
ejpam-5008	71	39	definition	definition	NOUN
ejpam-5008	71	40	4	4	NUM
ejpam-5008	71	41	.	.	PUNCT
ejpam-5008	72	1	[	[	X
ejpam-5008	72	2	4	4	X
ejpam-5008	72	3	]	]	PUNCT
ejpam-5008	72	4	let	let	VERB
ejpam-5008	72	5	p	p	PRON
ejpam-5008	72	6	be	be	AUX
ejpam-5008	72	7	the	the	DET
ejpam-5008	72	8	set	set	NOUN
ejpam-5008	72	9	of	of	ADP
ejpam-5008	72	10	parameters	parameter	NOUN
ejpam-5008	72	11	,	,	PUNCT
ejpam-5008	72	12	for	for	ADP
ejpam-5008	72	13	a	a	DET
ejpam-5008	72	14	subset	subset	NOUN
ejpam-5008	72	15	a	a	PRON
ejpam-5008	72	16	of	of	ADP
ejpam-5008	72	17	p	p	NOUN
ejpam-5008	72	18	,	,	PUNCT
ejpam-5008	72	19	a	a	DET
ejpam-5008	72	20	hesitant	hesitant	ADJ
ejpam-5008	72	21	fuzzy	fuzzy	ADJ
ejpam-5008	72	22	soft	soft	ADJ
ejpam-5008	72	23	set	set	NOUN
ejpam-5008	72	24	(	(	PUNCT
ejpam-5008	72	25	s	s	PROPN
ejpam-5008	72	26	,	,	PUNCT
ejpam-5008	72	27	a	a	PRON
ejpam-5008	72	28	)	)	PUNCT
ejpam-5008	72	29	over	over	ADP
ejpam-5008	72	30	b	b	PROPN
ejpam-5008	72	31	is	be	AUX
ejpam-5008	72	32	called	call	VERB
ejpam-5008	72	33	a	a	DET
ejpam-5008	72	34	hesitant	hesitant	ADJ
ejpam-5008	72	35	fuzzy	fuzzy	ADJ
ejpam-5008	72	36	soft	soft	ADJ
ejpam-5008	72	37	ideal	ideal	NOUN
ejpam-5008	72	38	based	base	VERB
ejpam-5008	72	39	on	on	ADP
ejpam-5008	72	40	e	e	PROPN
ejpam-5008	72	41	∈	∈	PROPN
ejpam-5008	72	42	a	a	DET
ejpam-5008	72	43	if	if	SCONJ
ejpam-5008	72	44	the	the	DET
ejpam-5008	72	45	hesitant	hesitant	ADJ
ejpam-5008	72	46	fuzzy	fuzzy	ADJ
ejpam-5008	72	47	set	set	NOUN
ejpam-5008	72	48	,	,	PUNCT
ejpam-5008	72	49	s[e	s[e	NOUN
ejpam-5008	72	50	]	]	PUNCT
ejpam-5008	72	51	:	:	PUNCT
ejpam-5008	72	52	=	=	SYM
ejpam-5008	72	53	{	{	PUNCT
ejpam-5008	72	54	(	(	PUNCT
ejpam-5008	72	55	α	α	NOUN
ejpam-5008	72	56	,	,	PUNCT
ejpam-5008	72	57	µs[e	µs[e	PROPN
ejpam-5008	72	58	]	]	X
ejpam-5008	72	59	(	(	PUNCT
ejpam-5008	72	60	α	α	NOUN
ejpam-5008	72	61	)	)	PUNCT
ejpam-5008	72	62	)	)	PUNCT
ejpam-5008	73	1	|	|	ADV
ejpam-5008	73	2	α	α	X
ejpam-5008	73	3	∈	∈	PROPN
ejpam-5008	73	4	b	b	X
ejpam-5008	73	5	}	}	PUNCT
ejpam-5008	73	6	(	(	PUNCT
ejpam-5008	73	7	2	2	X
ejpam-5008	73	8	)	)	PUNCT
ejpam-5008	73	9	is	be	AUX
ejpam-5008	73	10	a	a	DET
ejpam-5008	73	11	hesitant	hesitant	ADJ
ejpam-5008	73	12	fuzzy	fuzzy	ADJ
ejpam-5008	73	13	ideal	ideal	NOUN
ejpam-5008	73	14	of	of	ADP
ejpam-5008	73	15	b.	b.	PROPN
ejpam-5008	73	16	definition	definition	NOUN
ejpam-5008	73	17	5	5	NUM
ejpam-5008	73	18	.	.	PUNCT
ejpam-5008	74	1	[	[	X
ejpam-5008	74	2	12	12	NUM
ejpam-5008	74	3	]	]	PUNCT
ejpam-5008	74	4	let	let	VERB
ejpam-5008	74	5	b	b	PRON
ejpam-5008	74	6	be	be	AUX
ejpam-5008	74	7	a	a	DET
ejpam-5008	74	8	non	non	ADJ
ejpam-5008	74	9	-	-	ADJ
ejpam-5008	74	10	empty	empty	ADJ
ejpam-5008	74	11	finite	finite	ADJ
ejpam-5008	74	12	universe	universe	NOUN
ejpam-5008	74	13	and	and	CCONJ
ejpam-5008	74	14	q	q	AUX
ejpam-5008	74	15	be	be	AUX
ejpam-5008	74	16	a	a	DET
ejpam-5008	74	17	non	non	ADJ
ejpam-5008	74	18	-	-	ADJ
ejpam-5008	74	19	empty	empty	ADJ
ejpam-5008	74	20	set	set	NOUN
ejpam-5008	74	21	.	.	PUNCT
ejpam-5008	75	1	a	a	DET
ejpam-5008	75	2	q	q	ADJ
ejpam-5008	75	3	-	-	PUNCT
ejpam-5008	75	4	hesitant	hesitant	ADJ
ejpam-5008	75	5	fuzzy	fuzzy	ADJ
ejpam-5008	75	6	set	set	NOUN
ejpam-5008	75	7	sq	sq	PROPN
ejpam-5008	75	8	is	be	AUX
ejpam-5008	75	9	a	a	DET
ejpam-5008	75	10	set	set	NOUN
ejpam-5008	75	11	given	give	VERB
ejpam-5008	75	12	by	by	ADP
ejpam-5008	75	13	sq	sq	ADJ
ejpam-5008	75	14	=	=	SYM
ejpam-5008	75	15	{	{	PUNCT
ejpam-5008	75	16	(	(	PUNCT
ejpam-5008	75	17	α	α	NOUN
ejpam-5008	75	18	,	,	PUNCT
ejpam-5008	75	19	q	q	NOUN
ejpam-5008	75	20	)	)	PUNCT
ejpam-5008	75	21	,	,	PUNCT
ejpam-5008	75	22	µsq(α	µsq(α	PROPN
ejpam-5008	75	23	,	,	PUNCT
ejpam-5008	75	24	q	q	NOUN
ejpam-5008	75	25	)	)	PUNCT
ejpam-5008	75	26	|	|	ADV
ejpam-5008	75	27	α	α	PROPN
ejpam-5008	75	28	∈	∈	PROPN
ejpam-5008	75	29	b	b	PROPN
ejpam-5008	75	30	,	,	PUNCT
ejpam-5008	75	31	q	q	PROPN
ejpam-5008	75	32	∈	∈	PROPN
ejpam-5008	75	33	q	q	NOUN
ejpam-5008	75	34	}	}	PUNCT
ejpam-5008	75	35	(	(	PUNCT
ejpam-5008	75	36	3	3	X
ejpam-5008	75	37	)	)	PUNCT
ejpam-5008	75	38	where	where	SCONJ
ejpam-5008	75	39	µsq	µsq	VERB
ejpam-5008	75	40	:	:	PUNCT
ejpam-5008	75	41	b×q	b×q	PROPN
ejpam-5008	76	1	−→	−→	ADJ
ejpam-5008	76	2	[	[	X
ejpam-5008	76	3	0	0	NUM
ejpam-5008	76	4	,	,	PUNCT
ejpam-5008	76	5	1	1	NUM
ejpam-5008	76	6	]	]	PUNCT
ejpam-5008	76	7	.	.	PUNCT
ejpam-5008	77	1	definition	definition	NOUN
ejpam-5008	77	2	6	6	NUM
ejpam-5008	77	3	.	.	PUNCT
ejpam-5008	78	1	[	[	X
ejpam-5008	78	2	1	1	X
ejpam-5008	78	3	]	]	PUNCT
ejpam-5008	78	4	an	an	DET
ejpam-5008	78	5	m	m	ADJ
ejpam-5008	78	6	-	-	ADJ
ejpam-5008	78	7	polar	polar	ADJ
ejpam-5008	78	8	q	q	ADJ
ejpam-5008	78	9	-	-	PUNCT
ejpam-5008	78	10	hesitant	hesitant	ADJ
ejpam-5008	78	11	fuzzy	fuzzy	ADJ
ejpam-5008	78	12	set	set	NOUN
ejpam-5008	78	13	on	on	ADP
ejpam-5008	78	14	a	a	DET
ejpam-5008	78	15	non	non	ADJ
ejpam-5008	78	16	-	-	ADJ
ejpam-5008	78	17	empty	empty	ADJ
ejpam-5008	78	18	set	set	NOUN
ejpam-5008	78	19	b	b	NOUN
ejpam-5008	78	20	is	be	AUX
ejpam-5008	78	21	the	the	DET
ejpam-5008	78	22	mapping	mapping	NOUN
ejpam-5008	78	23	sq	sq	INTJ
ejpam-5008	78	24	:	:	PUNCT
ejpam-5008	78	25	b×q	b×q	PROPN
ejpam-5008	78	26	−→	−→	ADJ
ejpam-5008	78	27	[	[	X
ejpam-5008	78	28	0	0	NUM
ejpam-5008	78	29	,	,	PUNCT
ejpam-5008	78	30	1]m	1]m	NUM
ejpam-5008	78	31	.	.	PUNCT
ejpam-5008	79	1	the	the	DET
ejpam-5008	79	2	membership	membership	NOUN
ejpam-5008	79	3	value	value	NOUN
ejpam-5008	79	4	of	of	ADP
ejpam-5008	79	5	every	every	DET
ejpam-5008	79	6	element	element	NOUN
ejpam-5008	79	7	α	α	PROPN
ejpam-5008	79	8	∈	∈	PROPN
ejpam-5008	79	9	b	b	PROPN
ejpam-5008	79	10	is	be	AUX
ejpam-5008	79	11	denoted	denote	VERB
ejpam-5008	79	12	by	by	ADP
ejpam-5008	79	13	s	s	NOUN
ejpam-5008	79	14	=	=	PUNCT
ejpam-5008	79	15	{	{	PUNCT
ejpam-5008	79	16	(	(	PUNCT
ejpam-5008	79	17	α	α	NOUN
ejpam-5008	79	18	,	,	PUNCT
ejpam-5008	79	19	q	q	NOUN
ejpam-5008	79	20	)	)	PUNCT
ejpam-5008	79	21	,	,	PUNCT
ejpam-5008	79	22	µi	µi	PROPN
ejpam-5008	79	23	s(α	s(α	PROPN
ejpam-5008	79	24	,	,	PUNCT
ejpam-5008	79	25	q	q	NOUN
ejpam-5008	79	26	)	)	PUNCT
ejpam-5008	79	27	|	|	ADV
ejpam-5008	79	28	α	α	PROPN
ejpam-5008	79	29	∈	∈	PROPN
ejpam-5008	79	30	b	b	PROPN
ejpam-5008	79	31	,	,	PUNCT
ejpam-5008	79	32	q	q	PROPN
ejpam-5008	79	33	∈	∈	PROPN
ejpam-5008	79	34	q	q	X
ejpam-5008	79	35	}	}	PUNCT
ejpam-5008	79	36	(	(	PUNCT
ejpam-5008	79	37	4	4	X
ejpam-5008	79	38	)	)	PUNCT
ejpam-5008	79	39	where	where	SCONJ
ejpam-5008	79	40	s	s	VERB
ejpam-5008	79	41	:	:	PUNCT
ejpam-5008	80	1	[	[	X
ejpam-5008	80	2	0	0	NUM
ejpam-5008	80	3	,	,	PUNCT
ejpam-5008	80	4	1]m	1]m	NUM
ejpam-5008	80	5	→	→	SYM
ejpam-5008	80	6	[	[	X
ejpam-5008	80	7	0	0	NUM
ejpam-5008	80	8	,	,	PUNCT
ejpam-5008	80	9	1	1	NUM
ejpam-5008	80	10	]	]	PUNCT
ejpam-5008	80	11	is	be	AUX
ejpam-5008	80	12	the	the	DET
ejpam-5008	80	13	i	i	PROPN
ejpam-5008	80	14	-	-	PUNCT
ejpam-5008	80	15	th	th	X
ejpam-5008	80	16	projection	projection	NOUN
ejpam-5008	80	17	for	for	ADP
ejpam-5008	80	18	all	all	DET
ejpam-5008	80	19	i=1,2,	i=1,2,	NOUN
ejpam-5008	80	20	...	...	PUNCT
ejpam-5008	80	21	,m	,m	PROPN
ejpam-5008	80	22	.	.	PUNCT
ejpam-5008	81	1	260	260	NUM
ejpam-5008	81	2	3	3	NUM
ejpam-5008	81	3	.	.	PUNCT
ejpam-5008	81	4	multi	multi	ADJ
ejpam-5008	81	5	-	-	ADJ
ejpam-5008	81	6	polar	polar	ADJ
ejpam-5008	81	7	q	q	ADJ
ejpam-5008	81	8	-	-	PUNCT
ejpam-5008	81	9	hesitant	hesitant	ADJ
ejpam-5008	81	10	fuzzy	fuzzy	ADJ
ejpam-5008	81	11	soft	soft	ADJ
ejpam-5008	81	12	implicative	implicative	ADJ
ejpam-5008	81	13	ideals	ideal	NOUN
ejpam-5008	81	14	definition	definition	NOUN
ejpam-5008	81	15	7	7	NUM
ejpam-5008	81	16	.	.	PUNCT
ejpam-5008	82	1	a	a	DET
ejpam-5008	82	2	multi	multi	ADJ
ejpam-5008	82	3	-	-	ADJ
ejpam-5008	82	4	polar	polar	ADJ
ejpam-5008	82	5	q	q	ADJ
ejpam-5008	82	6	-	-	PUNCT
ejpam-5008	82	7	hesitant	hesitant	ADJ
ejpam-5008	82	8	fuzzy	fuzzy	ADJ
ejpam-5008	82	9	set	set	NOUN
ejpam-5008	82	10	sα	sα	ADV
ejpam-5008	82	11	=	=	PUNCT
ejpam-5008	82	12	{	{	PUNCT
ejpam-5008	82	13	(	(	PUNCT
ejpam-5008	82	14	α	α	NOUN
ejpam-5008	82	15	,	,	PUNCT
ejpam-5008	82	16	q	q	NOUN
ejpam-5008	82	17	)	)	PUNCT
ejpam-5008	82	18	,	,	PUNCT
ejpam-5008	82	19	µα	µα	ADP
ejpam-5008	82	20	i(α	i(α	PROPN
ejpam-5008	82	21	,	,	PUNCT
ejpam-5008	82	22	q)|α	q)|α	VERB
ejpam-5008	82	23	∈	∈	PROPN
ejpam-5008	82	24	b	b	PROPN
ejpam-5008	82	25	,	,	PUNCT
ejpam-5008	82	26	q	q	PROPN
ejpam-5008	82	27	∈	∈	PROPN
ejpam-5008	82	28	q	q	X
ejpam-5008	82	29	}	}	PUNCT
ejpam-5008	82	30	in	in	ADP
ejpam-5008	82	31	b	b	PROPN
ejpam-5008	82	32	is	be	AUX
ejpam-5008	82	33	called	call	VERB
ejpam-5008	82	34	a	a	DET
ejpam-5008	82	35	multi	multi	ADJ
ejpam-5008	82	36	-	-	ADJ
ejpam-5008	82	37	polar	polar	ADJ
ejpam-5008	82	38	q	q	ADJ
ejpam-5008	82	39	-	-	PUNCT
ejpam-5008	82	40	hesitant	hesitant	ADJ
ejpam-5008	82	41	fuzzy	fuzzy	ADJ
ejpam-5008	82	42	implicative	implicative	ADJ
ejpam-5008	82	43	ideal	ideal	NOUN
ejpam-5008	82	44	if	if	SCONJ
ejpam-5008	82	45	it	it	PRON
ejpam-5008	82	46	is	be	AUX
ejpam-5008	82	47	satisfies	satisfie	NOUN
ejpam-5008	82	48	the	the	DET
ejpam-5008	82	49	following	follow	VERB
ejpam-5008	82	50	:	:	PUNCT
ejpam-5008	82	51	1µx(0	1µx(0	NUM
ejpam-5008	82	52	,	,	PUNCT
ejpam-5008	82	53	q	q	X
ejpam-5008	82	54	)	)	PUNCT
ejpam-5008	82	55	⊇	⊇	PROPN
ejpam-5008	82	56	µα(α	µα(α	PROPN
ejpam-5008	82	57	,	,	PUNCT
ejpam-5008	82	58	q	q	NOUN
ejpam-5008	82	59	)	)	PUNCT
ejpam-5008	82	60	(	(	PUNCT
ejpam-5008	82	61	5	5	NUM
ejpam-5008	82	62	)	)	PUNCT
ejpam-5008	82	63	2µα(α	2µα(α	NUM
ejpam-5008	82	64	,	,	PUNCT
ejpam-5008	82	65	q	q	X
ejpam-5008	82	66	)	)	PUNCT
ejpam-5008	82	67	⊇	⊇	PROPN
ejpam-5008	82	68	µα((α	µα((α	NOUN
ejpam-5008	82	69	∗	∗	NOUN
ejpam-5008	82	70	(	(	PUNCT
ejpam-5008	82	71	ϖ	ϖ	X
ejpam-5008	82	72	∗	∗	NOUN
ejpam-5008	82	73	α	α	NOUN
ejpam-5008	82	74	)	)	PUNCT
ejpam-5008	82	75	∗∆	∗∆	PROPN
ejpam-5008	82	76	,	,	PUNCT
ejpam-5008	82	77	q	q	ADJ
ejpam-5008	82	78	)	)	PUNCT
ejpam-5008	82	79	∩	∩	ADJ
ejpam-5008	82	80	µα(∆	µα(∆	NOUN
ejpam-5008	82	81	,	,	PUNCT
ejpam-5008	82	82	q	q	NOUN
ejpam-5008	82	83	)	)	PUNCT
ejpam-5008	82	84	(	(	PUNCT
ejpam-5008	82	85	6	6	NUM
ejpam-5008	82	86	)	)	PUNCT
ejpam-5008	82	87	where	where	SCONJ
ejpam-5008	82	88	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	82	89	∈	∈	PROPN
ejpam-5008	82	90	b	b	PROPN
ejpam-5008	82	91	,	,	PUNCT
ejpam-5008	82	92	q	q	PROPN
ejpam-5008	82	93	∈	∈	PROPN
ejpam-5008	82	94	q	q	NOUN
ejpam-5008	82	95	definition	definition	NOUN
ejpam-5008	82	96	8	8	NUM
ejpam-5008	82	97	.	.	PUNCT
ejpam-5008	83	1	let	let	VERB
ejpam-5008	83	2	p	p	PRON
ejpam-5008	83	3	be	be	AUX
ejpam-5008	83	4	a	a	DET
ejpam-5008	83	5	set	set	NOUN
ejpam-5008	83	6	of	of	ADP
ejpam-5008	83	7	parameters	parameter	NOUN
ejpam-5008	83	8	.	.	PUNCT
ejpam-5008	84	1	for	for	ADP
ejpam-5008	84	2	a	a	DET
ejpam-5008	84	3	subset	subset	NOUN
ejpam-5008	84	4	a	a	PRON
ejpam-5008	84	5	of	of	ADP
ejpam-5008	84	6	p	p	NOUN
ejpam-5008	84	7	,	,	PUNCT
ejpam-5008	84	8	a	a	DET
ejpam-5008	84	9	multi	multi	ADJ
ejpam-5008	84	10	-	-	ADJ
ejpam-5008	84	11	polar	polar	ADJ
ejpam-5008	84	12	q	q	ADJ
ejpam-5008	84	13	-	-	PUNCT
ejpam-5008	84	14	hesitant	hesitant	ADJ
ejpam-5008	84	15	fuzzy	fuzzy	ADJ
ejpam-5008	84	16	soft	soft	ADJ
ejpam-5008	84	17	set	set	NOUN
ejpam-5008	84	18	(	(	PUNCT
ejpam-5008	84	19	s	s	PROPN
ejpam-5008	84	20	,	,	PUNCT
ejpam-5008	84	21	a	a	PRON
ejpam-5008	84	22	)	)	PUNCT
ejpam-5008	84	23	is	be	AUX
ejpam-5008	84	24	called	call	VERB
ejpam-5008	84	25	multi	multi	ADJ
ejpam-5008	84	26	-	-	ADJ
ejpam-5008	84	27	polar	polar	ADJ
ejpam-5008	84	28	q	q	ADJ
ejpam-5008	84	29	-	-	PUNCT
ejpam-5008	84	30	hesitant	hesitant	ADJ
ejpam-5008	84	31	fuzzy	fuzzy	ADJ
ejpam-5008	84	32	soft	soft	ADJ
ejpam-5008	84	33	implicative	implicative	ADJ
ejpam-5008	84	34	ideal	ideal	NOUN
ejpam-5008	84	35	over	over	ADP
ejpam-5008	84	36	b	b	PROPN
ejpam-5008	84	37	if	if	SCONJ
ejpam-5008	84	38	the	the	DET
ejpam-5008	84	39	multi	multi	ADJ
ejpam-5008	84	40	-	-	ADJ
ejpam-5008	84	41	polar	polar	ADJ
ejpam-5008	84	42	q	q	ADJ
ejpam-5008	84	43	-	-	PUNCT
ejpam-5008	84	44	hesitant	hesitant	ADJ
ejpam-5008	84	45	fuzzy	fuzzy	ADJ
ejpam-5008	84	46	set	set	NOUN
ejpam-5008	84	47	s[e	s[e	NOUN
ejpam-5008	84	48	]	]	X
ejpam-5008	84	49	=	=	SYM
ejpam-5008	84	50	{	{	PUNCT
ejpam-5008	84	51	(	(	PUNCT
ejpam-5008	84	52	α	α	NOUN
ejpam-5008	84	53	,	,	PUNCT
ejpam-5008	84	54	q	q	NOUN
ejpam-5008	84	55	)	)	PUNCT
ejpam-5008	84	56	,	,	PUNCT
ejpam-5008	84	57	µs[e	µs[e	PROPN
ejpam-5008	84	58	]	]	X
ejpam-5008	84	59	i(α	i(α	PROPN
ejpam-5008	84	60	,	,	PUNCT
ejpam-5008	84	61	q)|α	q)|α	VERB
ejpam-5008	84	62	∈	∈	PROPN
ejpam-5008	84	63	b	b	PROPN
ejpam-5008	84	64	,	,	PUNCT
ejpam-5008	85	1	q	q	PROPN
ejpam-5008	85	2	∈	∈	PROPN
ejpam-5008	85	3	q	q	X
ejpam-5008	85	4	}	}	PUNCT
ejpam-5008	85	5	on	on	ADP
ejpam-5008	85	6	b	b	PROPN
ejpam-5008	85	7	is	be	AUX
ejpam-5008	85	8	a	a	DET
ejpam-5008	85	9	multi	multi	ADJ
ejpam-5008	85	10	-	-	ADJ
ejpam-5008	85	11	polar	polar	ADJ
ejpam-5008	85	12	q	q	ADJ
ejpam-5008	85	13	-	-	PUNCT
ejpam-5008	85	14	hesitant	hesitant	ADJ
ejpam-5008	85	15	fuzzy	fuzzy	ADJ
ejpam-5008	85	16	soft	soft	ADJ
ejpam-5008	85	17	implicative	implicative	ADJ
ejpam-5008	85	18	ideal	ideal	NOUN
ejpam-5008	85	19	of	of	ADP
ejpam-5008	85	20	b.	b.	PROPN
ejpam-5008	85	21	example	example	PROPN
ejpam-5008	86	1	1	1	NUM
ejpam-5008	86	2	.	.	PUNCT
ejpam-5008	86	3	john	john	PROPN
ejpam-5008	86	4	,	,	PUNCT
ejpam-5008	86	5	a	a	DET
ejpam-5008	86	6	60	60	NUM
ejpam-5008	86	7	-	-	PUNCT
ejpam-5008	86	8	year	year	NOUN
ejpam-5008	86	9	-	-	PUNCT
ejpam-5008	86	10	old	old	ADJ
ejpam-5008	86	11	retiree	retiree	NOUN
ejpam-5008	86	12	,	,	PUNCT
ejpam-5008	86	13	has	have	AUX
ejpam-5008	86	14	recently	recently	ADV
ejpam-5008	86	15	been	be	AUX
ejpam-5008	86	16	diagnosed	diagnose	VERB
ejpam-5008	86	17	with	with	ADP
ejpam-5008	86	18	coronary	coronary	ADJ
ejpam-5008	86	19	artery	artery	NOUN
ejpam-5008	86	20	disease	disease	NOUN
ejpam-5008	86	21	.	.	PUNCT
ejpam-5008	87	1	his	his	PRON
ejpam-5008	87	2	cardiologist	cardiologist	NOUN
ejpam-5008	87	3	explains	explain	VERB
ejpam-5008	87	4	that	that	SCONJ
ejpam-5008	87	5	he	he	PRON
ejpam-5008	87	6	has	have	VERB
ejpam-5008	87	7	significant	significant	ADJ
ejpam-5008	87	8	blockages	blockage	NOUN
ejpam-5008	87	9	in	in	ADP
ejpam-5008	87	10	his	his	PRON
ejpam-5008	87	11	coronary	coronary	ADJ
ejpam-5008	87	12	arteries	artery	NOUN
ejpam-5008	87	13	and	and	CCONJ
ejpam-5008	87	14	recommends	recommend	VERB
ejpam-5008	87	15	two	two	NUM
ejpam-5008	87	16	treatment	treatment	NOUN
ejpam-5008	87	17	options	option	NOUN
ejpam-5008	87	18	:	:	PUNCT
ejpam-5008	87	19	angioplasty	angioplasty	NOUN
ejpam-5008	87	20	and	and	CCONJ
ejpam-5008	87	21	stent	stent	VERB
ejpam-5008	87	22	placement	placement	NOUN
ejpam-5008	87	23	or	or	CCONJ
ejpam-5008	87	24	coronary	coronary	ADJ
ejpam-5008	87	25	artery	artery	NOUN
ejpam-5008	87	26	bypass	bypass	NOUN
ejpam-5008	87	27	grafting	grafting	NOUN
ejpam-5008	87	28	(	(	PUNCT
ejpam-5008	87	29	cabg	cabg	NOUN
ejpam-5008	87	30	)	)	PUNCT
ejpam-5008	87	31	.	.	PUNCT
ejpam-5008	88	1	john	john	PROPN
ejpam-5008	88	2	is	be	AUX
ejpam-5008	88	3	faced	face	VERB
ejpam-5008	88	4	with	with	ADP
ejpam-5008	88	5	a	a	DET
ejpam-5008	88	6	decision	decision	NOUN
ejpam-5008	88	7	that	that	PRON
ejpam-5008	88	8	will	will	AUX
ejpam-5008	88	9	impact	impact	VERB
ejpam-5008	88	10	his	his	PRON
ejpam-5008	88	11	health	health	NOUN
ejpam-5008	88	12	and	and	CCONJ
ejpam-5008	88	13	lifestyle	lifestyle	NOUN
ejpam-5008	88	14	.	.	PUNCT
ejpam-5008	89	1	angioplasty	angioplasty	NOUN
ejpam-5008	89	2	and	and	CCONJ
ejpam-5008	89	3	stent	stent	NOUN
ejpam-5008	89	4	placement	placement	NOUN
ejpam-5008	89	5	:	:	PUNCT
ejpam-5008	89	6	john	john	PROPN
ejpam-5008	89	7	’s	’s	PART
ejpam-5008	89	8	doctor	doctor	NOUN
ejpam-5008	89	9	explains	explain	VERB
ejpam-5008	89	10	that	that	SCONJ
ejpam-5008	89	11	angioplasty	angioplasty	NOUN
ejpam-5008	89	12	and	and	CCONJ
ejpam-5008	89	13	stent	stent	NOUN
ejpam-5008	89	14	placement	placement	NOUN
ejpam-5008	89	15	is	be	AUX
ejpam-5008	89	16	a	a	DET
ejpam-5008	89	17	less	less	ADV
ejpam-5008	89	18	invasive	invasive	ADJ
ejpam-5008	89	19	procedure	procedure	NOUN
ejpam-5008	89	20	.	.	PUNCT
ejpam-5008	90	1	it	it	PRON
ejpam-5008	90	2	involves	involve	VERB
ejpam-5008	90	3	inflating	inflate	VERB
ejpam-5008	90	4	a	a	DET
ejpam-5008	90	5	balloon	balloon	NOUN
ejpam-5008	90	6	in	in	ADP
ejpam-5008	90	7	the	the	DET
ejpam-5008	90	8	blocked	block	VERB
ejpam-5008	90	9	artery	artery	NOUN
ejpam-5008	90	10	and	and	CCONJ
ejpam-5008	90	11	inserting	insert	VERB
ejpam-5008	90	12	a	a	DET
ejpam-5008	90	13	stent	stent	NOUN
ejpam-5008	90	14	to	to	PART
ejpam-5008	90	15	keep	keep	VERB
ejpam-5008	90	16	the	the	DET
ejpam-5008	90	17	artery	artery	NOUN
ejpam-5008	90	18	open	open	ADJ
ejpam-5008	90	19	.	.	PUNCT
ejpam-5008	91	1	this	this	DET
ejpam-5008	91	2	procedure	procedure	NOUN
ejpam-5008	91	3	can	can	AUX
ejpam-5008	91	4	be	be	AUX
ejpam-5008	91	5	performed	perform	VERB
ejpam-5008	91	6	relatively	relatively	ADV
ejpam-5008	91	7	quickly	quickly	ADV
ejpam-5008	91	8	and	and	CCONJ
ejpam-5008	91	9	may	may	AUX
ejpam-5008	91	10	allow	allow	VERB
ejpam-5008	91	11	john	john	PROPN
ejpam-5008	91	12	to	to	PART
ejpam-5008	91	13	return	return	VERB
ejpam-5008	91	14	to	to	ADP
ejpam-5008	91	15	his	his	PRON
ejpam-5008	91	16	daily	daily	ADJ
ejpam-5008	91	17	activities	activity	NOUN
ejpam-5008	91	18	sooner	soon	ADV
ejpam-5008	91	19	.	.	PUNCT
ejpam-5008	92	1	coronary	coronary	ADJ
ejpam-5008	92	2	artery	artery	NOUN
ejpam-5008	92	3	bypass	bypass	NOUN
ejpam-5008	92	4	grafting	grafting	NOUN
ejpam-5008	92	5	(	(	PUNCT
ejpam-5008	92	6	cabg	cabg	VERB
ejpam-5008	92	7	):	):	PUNCT
ejpam-5008	92	8	on	on	ADP
ejpam-5008	92	9	the	the	DET
ejpam-5008	92	10	other	other	ADJ
ejpam-5008	92	11	hand	hand	NOUN
ejpam-5008	92	12	,	,	PUNCT
ejpam-5008	92	13	the	the	DET
ejpam-5008	92	14	doctor	doctor	NOUN
ejpam-5008	92	15	also	also	ADV
ejpam-5008	92	16	discusses	discuss	VERB
ejpam-5008	92	17	coronary	coronary	ADJ
ejpam-5008	92	18	artery	artery	NOUN
ejpam-5008	92	19	bypass	bypass	NOUN
ejpam-5008	92	20	grafting	grafting	NOUN
ejpam-5008	92	21	(	(	PUNCT
ejpam-5008	92	22	cabg	cabg	NOUN
ejpam-5008	92	23	)	)	PUNCT
ejpam-5008	92	24	,	,	PUNCT
ejpam-5008	92	25	which	which	PRON
ejpam-5008	92	26	is	be	AUX
ejpam-5008	92	27	a	a	DET
ejpam-5008	92	28	more	more	ADV
ejpam-5008	92	29	extensive	extensive	ADJ
ejpam-5008	92	30	surgical	surgical	ADJ
ejpam-5008	92	31	procedure	procedure	NOUN
ejpam-5008	92	32	.	.	PUNCT
ejpam-5008	93	1	it	it	PRON
ejpam-5008	93	2	involves	involve	VERB
ejpam-5008	93	3	opening	open	VERB
ejpam-5008	93	4	john	john	PROPN
ejpam-5008	93	5	’s	’s	PART
ejpam-5008	93	6	chest	chest	NOUN
ejpam-5008	93	7	,	,	PUNCT
ejpam-5008	93	8	using	use	VERB
ejpam-5008	93	9	healthy	healthy	ADJ
ejpam-5008	93	10	blood	blood	NOUN
ejpam-5008	93	11	vessels	vessel	NOUN
ejpam-5008	93	12	from	from	ADP
ejpam-5008	93	13	elsewhere	elsewhere	ADV
ejpam-5008	93	14	in	in	ADP
ejpam-5008	93	15	his	his	PRON
ejpam-5008	93	16	body	body	NOUN
ejpam-5008	93	17	,	,	PUNCT
ejpam-5008	93	18	and	and	CCONJ
ejpam-5008	93	19	creating	create	VERB
ejpam-5008	93	20	bypasses	bypass	NOUN
ejpam-5008	93	21	around	around	ADP
ejpam-5008	93	22	the	the	DET
ejpam-5008	93	23	blocked	block	VERB
ejpam-5008	93	24	arteries	artery	NOUN
ejpam-5008	93	25	.	.	PUNCT
ejpam-5008	94	1	while	while	SCONJ
ejpam-5008	94	2	this	this	DET
ejpam-5008	94	3	surgery	surgery	NOUN
ejpam-5008	94	4	is	be	AUX
ejpam-5008	94	5	more	more	ADV
ejpam-5008	94	6	invasive	invasive	ADJ
ejpam-5008	94	7	and	and	CCONJ
ejpam-5008	94	8	requires	require	VERB
ejpam-5008	94	9	a	a	DET
ejpam-5008	94	10	longer	long	ADJ
ejpam-5008	94	11	hospital	hospital	NOUN
ejpam-5008	94	12	stay	stay	NOUN
ejpam-5008	94	13	,	,	PUNCT
ejpam-5008	94	14	it	it	PRON
ejpam-5008	94	15	may	may	AUX
ejpam-5008	94	16	provide	provide	VERB
ejpam-5008	94	17	a	a	DET
ejpam-5008	94	18	more	more	ADV
ejpam-5008	94	19	permanent	permanent	ADJ
ejpam-5008	94	20	solution	solution	NOUN
ejpam-5008	94	21	for	for	ADP
ejpam-5008	94	22	his	his	PRON
ejpam-5008	94	23	condition	condition	NOUN
ejpam-5008	94	24	.	.	PUNCT
ejpam-5008	95	1	john	john	PROPN
ejpam-5008	95	2	’s	’s	PART
ejpam-5008	95	3	decision	decision	NOUN
ejpam-5008	95	4	-	-	PUNCT
ejpam-5008	95	5	making	make	VERB
ejpam-5008	95	6	process	process	NOUN
ejpam-5008	95	7	:	:	PUNCT
ejpam-5008	95	8	john	john	PROPN
ejpam-5008	95	9	takes	take	VERB
ejpam-5008	95	10	several	several	ADJ
ejpam-5008	95	11	factors	factor	NOUN
ejpam-5008	95	12	into	into	ADP
ejpam-5008	95	13	account	account	NOUN
ejpam-5008	95	14	when	when	SCONJ
ejpam-5008	95	15	making	make	VERB
ejpam-5008	95	16	his	his	PRON
ejpam-5008	95	17	decision	decision	NOUN
ejpam-5008	95	18	:	:	PUNCT
ejpam-5008	95	19	1health	1health	NUM
ejpam-5008	95	20	condition	condition	NOUN
ejpam-5008	95	21	:	:	PUNCT
ejpam-5008	95	22	he	he	PRON
ejpam-5008	95	23	considers	consider	VERB
ejpam-5008	95	24	the	the	DET
ejpam-5008	95	25	severity	severity	NOUN
ejpam-5008	95	26	of	of	ADP
ejpam-5008	95	27	his	his	PRON
ejpam-5008	95	28	cad	cad	NOUN
ejpam-5008	95	29	and	and	CCONJ
ejpam-5008	95	30	the	the	DET
ejpam-5008	95	31	advice	advice	NOUN
ejpam-5008	95	32	of	of	ADP
ejpam-5008	95	33	his	his	PRON
ejpam-5008	95	34	cardiologist	cardiologist	NOUN
ejpam-5008	95	35	,	,	PUNCT
ejpam-5008	95	36	who	who	PRON
ejpam-5008	95	37	recommends	recommend	VERB
ejpam-5008	95	38	cabg	cabg	NOUN
ejpam-5008	95	39	due	due	ADP
ejpam-5008	95	40	to	to	ADP
ejpam-5008	95	41	the	the	DET
ejpam-5008	95	42	complexity	complexity	NOUN
ejpam-5008	95	43	of	of	ADP
ejpam-5008	95	44	his	his	PRON
ejpam-5008	95	45	blockages	blockage	NOUN
ejpam-5008	95	46	.	.	PUNCT
ejpam-5008	96	1	2recovery	2recovery	NUM
ejpam-5008	96	2	time	time	NOUN
ejpam-5008	96	3	:	:	PUNCT
ejpam-5008	96	4	john	john	PROPN
ejpam-5008	96	5	values	value	VERB
ejpam-5008	96	6	a	a	DET
ejpam-5008	96	7	quicker	quick	ADJ
ejpam-5008	96	8	recovery	recovery	NOUN
ejpam-5008	96	9	,	,	PUNCT
ejpam-5008	96	10	as	as	SCONJ
ejpam-5008	96	11	he	he	PRON
ejpam-5008	96	12	wants	want	VERB
ejpam-5008	96	13	to	to	PART
ejpam-5008	96	14	spend	spend	VERB
ejpam-5008	96	15	time	time	NOUN
ejpam-5008	96	16	with	with	ADP
ejpam-5008	96	17	his	his	PRON
ejpam-5008	96	18	family	family	NOUN
ejpam-5008	96	19	and	and	CCONJ
ejpam-5008	96	20	return	return	VERB
ejpam-5008	96	21	to	to	ADP
ejpam-5008	96	22	his	his	PRON
ejpam-5008	96	23	hobbies	hobby	NOUN
ejpam-5008	96	24	.	.	PUNCT
ejpam-5008	97	1	261	261	NUM
ejpam-5008	97	2	3long	3long	NUM
ejpam-5008	97	3	-	-	PUNCT
ejpam-5008	97	4	term	term	NOUN
ejpam-5008	97	5	outlook	outlook	NOUN
ejpam-5008	97	6	:	:	PUNCT
ejpam-5008	97	7	he	he	PRON
ejpam-5008	97	8	is	be	AUX
ejpam-5008	97	9	concerned	concerned	ADJ
ejpam-5008	97	10	about	about	ADP
ejpam-5008	97	11	the	the	DET
ejpam-5008	97	12	long	long	ADJ
ejpam-5008	97	13	-	-	PUNCT
ejpam-5008	97	14	term	term	NOUN
ejpam-5008	97	15	management	management	NOUN
ejpam-5008	97	16	of	of	ADP
ejpam-5008	97	17	his	his	PRON
ejpam-5008	97	18	heart	heart	NOUN
ejpam-5008	97	19	health	health	NOUN
ejpam-5008	97	20	and	and	CCONJ
ejpam-5008	97	21	prefers	prefer	VERB
ejpam-5008	97	22	a	a	DET
ejpam-5008	97	23	solution	solution	NOUN
ejpam-5008	97	24	that	that	PRON
ejpam-5008	97	25	offers	offer	VERB
ejpam-5008	97	26	lasting	lasting	ADJ
ejpam-5008	97	27	benefits	benefit	NOUN
ejpam-5008	97	28	.	.	PUNCT
ejpam-5008	98	1	let	let	VERB
ejpam-5008	98	2	b	b	NOUN
ejpam-5008	98	3	=	=	PRON
ejpam-5008	98	4	{	{	PUNCT
ejpam-5008	98	5	x1	x1	PROPN
ejpam-5008	98	6	,	,	PUNCT
ejpam-5008	98	7	x2	x2	PROPN
ejpam-5008	98	8	,	,	PUNCT
ejpam-5008	98	9	x3	x3	ADJ
ejpam-5008	98	10	}	}	PUNCT
ejpam-5008	98	11	be	be	AUX
ejpam-5008	98	12	a	a	DET
ejpam-5008	98	13	bck	bck	NOUN
ejpam-5008	98	14	-	-	PUNCT
ejpam-5008	98	15	algebra	algebra	NOUN
ejpam-5008	98	16	set	set	NOUN
ejpam-5008	98	17	where	where	SCONJ
ejpam-5008	98	18	x1	x1	PROPN
ejpam-5008	98	19	is	be	AUX
ejpam-5008	98	20	health	health	NOUN
ejpam-5008	98	21	condition	condition	NOUN
ejpam-5008	98	22	,	,	PUNCT
ejpam-5008	98	23	x2	x2	PROPN
ejpam-5008	98	24	is	be	AUX
ejpam-5008	98	25	the	the	DET
ejpam-5008	98	26	recovery	recovery	NOUN
ejpam-5008	98	27	time	time	NOUN
ejpam-5008	98	28	and	and	CCONJ
ejpam-5008	98	29	x3	x3	ADJ
ejpam-5008	98	30	is	be	AUX
ejpam-5008	98	31	the	the	DET
ejpam-5008	98	32	long	long	ADJ
ejpam-5008	98	33	-	-	PUNCT
ejpam-5008	98	34	term	term	NOUN
ejpam-5008	98	35	outlook	outlook	NOUN
ejpam-5008	98	36	and	and	CCONJ
ejpam-5008	98	37	consider	consider	VERB
ejpam-5008	98	38	the	the	DET
ejpam-5008	98	39	operation	operation	NOUN
ejpam-5008	98	40	*	*	PUNCT
ejpam-5008	98	41	on	on	ADP
ejpam-5008	98	42	b	b	NOUN
ejpam-5008	98	43	defined	define	VERB
ejpam-5008	98	44	in	in	ADP
ejpam-5008	98	45	the	the	DET
ejpam-5008	98	46	next	next	ADJ
ejpam-5008	98	47	table	table	NOUN
ejpam-5008	98	48	*	*	PUNCT
ejpam-5008	99	1	x1	x1	NOUN
ejpam-5008	99	2	x2	x2	NOUN
ejpam-5008	99	3	x3	x3	VERB
ejpam-5008	99	4	x1	x1	NOUN
ejpam-5008	100	1	x1	x1	NUM
ejpam-5008	101	1	x1	x1	NUM
ejpam-5008	102	1	x1	x1	NUM
ejpam-5008	103	1	x2	x2	NOUN
ejpam-5008	104	1	x2	x2	INTJ
ejpam-5008	104	2	x1	x1	NUM
ejpam-5008	105	1	x2	x2	NOUN
ejpam-5008	105	2	x3	x3	ADJ
ejpam-5008	105	3	x3	x3	INTJ
ejpam-5008	106	1	x3	x3	PROPN
ejpam-5008	106	2	x1	x1	PROPN
ejpam-5008	107	1	then	then	ADV
ejpam-5008	107	2	(	(	PUNCT
ejpam-5008	107	3	b	b	NOUN
ejpam-5008	107	4	,	,	PUNCT
ejpam-5008	107	5	∗	∗	NOUN
ejpam-5008	107	6	,	,	PUNCT
ejpam-5008	107	7	x1	x1	NUM
ejpam-5008	107	8	)	)	PUNCT
ejpam-5008	107	9	is	be	AUX
ejpam-5008	107	10	a	a	DET
ejpam-5008	107	11	bck	bck	NOUN
ejpam-5008	107	12	-	-	PUNCT
ejpam-5008	107	13	algebra	algebra	NOUN
ejpam-5008	107	14	.	.	PUNCT
ejpam-5008	108	1	consider	consider	VERB
ejpam-5008	108	2	the	the	DET
ejpam-5008	108	3	set	set	NOUN
ejpam-5008	108	4	q	q	NOUN
ejpam-5008	108	5	=	=	PUNCT
ejpam-5008	108	6	{	{	PUNCT
ejpam-5008	108	7	γ	γ	X
ejpam-5008	108	8	,	,	PUNCT
ejpam-5008	108	9	υ	υ	NOUN
ejpam-5008	108	10	}	}	PUNCT
ejpam-5008	108	11	where	where	SCONJ
ejpam-5008	108	12	γ	γ	PROPN
ejpam-5008	108	13	is	be	AUX
ejpam-5008	108	14	angioplasty	angioplasty	NOUN
ejpam-5008	108	15	and	and	CCONJ
ejpam-5008	108	16	stent	stent	VERB
ejpam-5008	108	17	placement	placement	NOUN
ejpam-5008	108	18	and	and	CCONJ
ejpam-5008	108	19	υ	υ	NOUN
ejpam-5008	108	20	is	be	AUX
ejpam-5008	108	21	coronary	coronary	ADJ
ejpam-5008	108	22	artery	artery	NOUN
ejpam-5008	108	23	bypass	bypass	NOUN
ejpam-5008	108	24	grafting	grafting	NOUN
ejpam-5008	108	25	(	(	PUNCT
ejpam-5008	108	26	cabg	cabg	NOUN
ejpam-5008	108	27	)	)	PUNCT
ejpam-5008	108	28	.	.	PUNCT
ejpam-5008	109	1	the	the	DET
ejpam-5008	109	2	parameters	parameter	NOUN
ejpam-5008	109	3	set	set	VERB
ejpam-5008	109	4	z	z	NOUN
ejpam-5008	109	5	=	=	SYM
ejpam-5008	109	6	{	{	PUNCT
ejpam-5008	109	7	e1	e1	PROPN
ejpam-5008	109	8	,	,	PUNCT
ejpam-5008	109	9	e2	e2	PROPN
ejpam-5008	109	10	,	,	PUNCT
ejpam-5008	109	11	e3	e3	NOUN
ejpam-5008	109	12	}	}	PUNCT
ejpam-5008	109	13	where	where	SCONJ
ejpam-5008	109	14	e1	e1	NOUN
ejpam-5008	109	15	health	health	NOUN
ejpam-5008	109	16	condition	condition	NOUN
ejpam-5008	109	17	,	,	PUNCT
ejpam-5008	109	18	e2	e2	PROPN
ejpam-5008	109	19	recovery	recovery	NOUN
ejpam-5008	109	20	time	time	NOUN
ejpam-5008	109	21	and	and	CCONJ
ejpam-5008	109	22	e3	e3	PRON
ejpam-5008	109	23	long	long	ADJ
ejpam-5008	109	24	-	-	PUNCT
ejpam-5008	109	25	term	term	NOUN
ejpam-5008	109	26	outlook	outlook	NOUN
ejpam-5008	109	27	.	.	PUNCT
ejpam-5008	110	1	let	let	VERB
ejpam-5008	110	2	m	m	VERB
ejpam-5008	110	3	=	=	SYM
ejpam-5008	110	4	3	3	NUM
ejpam-5008	110	5	*	*	PUNCT
ejpam-5008	110	6	(	(	PUNCT
ejpam-5008	110	7	x1,γ	x1,γ	PROPN
ejpam-5008	110	8	)	)	PUNCT
ejpam-5008	110	9	(	(	PUNCT
ejpam-5008	110	10	x1,υ	x1,υ	PROPN
ejpam-5008	110	11	)	)	PUNCT
ejpam-5008	110	12	(	(	PUNCT
ejpam-5008	110	13	x2,γ	x2,γ	NOUN
ejpam-5008	110	14	)	)	PUNCT
ejpam-5008	110	15	e1	e1	NOUN
ejpam-5008	110	16	{	{	PUNCT
ejpam-5008	110	17	(	(	PUNCT
ejpam-5008	110	18	0.9	0.9	NUM
ejpam-5008	110	19	)	)	PUNCT
ejpam-5008	110	20	,	,	PUNCT
ejpam-5008	110	21	(	(	PUNCT
ejpam-5008	110	22	0.8	0.8	NUM
ejpam-5008	110	23	,	,	PUNCT
ejpam-5008	110	24	0.9	0.9	NUM
ejpam-5008	110	25	)	)	PUNCT
ejpam-5008	110	26	,	,	PUNCT
ejpam-5008	111	1	[	[	X
ejpam-5008	111	2	0.8	0.8	NUM
ejpam-5008	111	3	,	,	PUNCT
ejpam-5008	111	4	0	0	NUM
ejpam-5008	111	5	,	,	PUNCT
ejpam-5008	111	6	8	8	NUM
ejpam-5008	111	7	]	]	PUNCT
ejpam-5008	111	8	}	}	PUNCT
ejpam-5008	111	9	{	{	PUNCT
ejpam-5008	111	10	{	{	PUNCT
ejpam-5008	111	11	0.9	0.9	NUM
ejpam-5008	111	12	}	}	PUNCT
ejpam-5008	111	13	,	,	PUNCT
ejpam-5008	112	1	[	[	X
ejpam-5008	112	2	0.8	0.8	NUM
ejpam-5008	112	3	]	]	PUNCT
ejpam-5008	112	4	,	,	PUNCT
ejpam-5008	112	5	(	(	PUNCT
ejpam-5008	112	6	0.8	0.8	NUM
ejpam-5008	112	7	,	,	PUNCT
ejpam-5008	112	8	0.9	0.9	NUM
ejpam-5008	112	9	]	]	PUNCT
ejpam-5008	112	10	}	}	PUNCT
ejpam-5008	112	11	{	{	PUNCT
ejpam-5008	112	12	(	(	PUNCT
ejpam-5008	112	13	0.8	0.8	NUM
ejpam-5008	112	14	,	,	PUNCT
ejpam-5008	112	15	0.7	0.7	NUM
ejpam-5008	112	16	]	]	PUNCT
ejpam-5008	112	17	,	,	PUNCT
ejpam-5008	112	18	(	(	PUNCT
ejpam-5008	112	19	0.7	0.7	NUM
ejpam-5008	112	20	,	,	PUNCT
ejpam-5008	112	21	0.6	0.6	NUM
ejpam-5008	112	22	,	,	PUNCT
ejpam-5008	112	23	0.6	0.6	NUM
ejpam-5008	112	24	)	)	PUNCT
ejpam-5008	112	25	,	,	PUNCT
ejpam-5008	112	26	(	(	PUNCT
ejpam-5008	112	27	0.7	0.7	NUM
ejpam-5008	112	28	,	,	PUNCT
ejpam-5008	112	29	0.6	0.6	NUM
ejpam-5008	112	30	]	]	PUNCT
ejpam-5008	112	31	}	}	PUNCT
ejpam-5008	112	32	e2	e2	X
ejpam-5008	112	33	{	{	PUNCT
ejpam-5008	112	34	[	[	X
ejpam-5008	112	35	0.9	0.9	NUM
ejpam-5008	112	36	,	,	PUNCT
ejpam-5008	112	37	0.8	0.8	NUM
ejpam-5008	112	38	]	]	PUNCT
ejpam-5008	112	39	,	,	PUNCT
ejpam-5008	112	40	{	{	PUNCT
ejpam-5008	112	41	0.9	0.9	NUM
ejpam-5008	112	42	}	}	PUNCT
ejpam-5008	112	43	,	,	PUNCT
ejpam-5008	112	44	(	(	PUNCT
ejpam-5008	112	45	0.7	0.7	NUM
ejpam-5008	112	46	,	,	PUNCT
ejpam-5008	112	47	0.8	0.8	NUM
ejpam-5008	112	48	)	)	PUNCT
ejpam-5008	112	49	}	}	PUNCT
ejpam-5008	112	50	{	{	PUNCT
ejpam-5008	112	51	(	(	PUNCT
ejpam-5008	112	52	0.8	0.8	NUM
ejpam-5008	112	53	,	,	PUNCT
ejpam-5008	112	54	0.9	0.9	NUM
ejpam-5008	112	55	]	]	PUNCT
ejpam-5008	112	56	,	,	PUNCT
ejpam-5008	112	57	(	(	PUNCT
ejpam-5008	112	58	0.9	0.9	NUM
ejpam-5008	112	59	)	)	PUNCT
ejpam-5008	112	60	,	,	PUNCT
ejpam-5008	112	61	(	(	PUNCT
ejpam-5008	112	62	0.9	0.9	NUM
ejpam-5008	112	63	,	,	PUNCT
ejpam-5008	112	64	0.9	0.9	NUM
ejpam-5008	112	65	)	)	PUNCT
ejpam-5008	112	66	}	}	PUNCT
ejpam-5008	112	67	{	{	PUNCT
ejpam-5008	112	68	(	(	PUNCT
ejpam-5008	112	69	0.5	0.5	NUM
ejpam-5008	112	70	,	,	PUNCT
ejpam-5008	112	71	0.4	0.4	NUM
ejpam-5008	112	72	)	)	PUNCT
ejpam-5008	112	73	,	,	PUNCT
ejpam-5008	112	74	(	(	PUNCT
ejpam-5008	112	75	0.8	0.8	NUM
ejpam-5008	112	76	,	,	PUNCT
ejpam-5008	112	77	0.7	0.7	NUM
ejpam-5008	112	78	)	)	PUNCT
ejpam-5008	112	79	,	,	PUNCT
ejpam-5008	112	80	(	(	PUNCT
ejpam-5008	112	81	0.6	0.6	NUM
ejpam-5008	112	82	)	)	PUNCT
ejpam-5008	112	83	}	}	PUNCT
ejpam-5008	112	84	e3	e3	VERB
ejpam-5008	112	85	{	{	PUNCT
ejpam-5008	112	86	{	{	PUNCT
ejpam-5008	112	87	0.8	0.8	NUM
ejpam-5008	112	88	,	,	PUNCT
ejpam-5008	112	89	0.9	0.9	NUM
ejpam-5008	112	90	,	,	PUNCT
ejpam-5008	112	91	0.8	0.8	NUM
ejpam-5008	112	92	}	}	PUNCT
ejpam-5008	112	93	,	,	PUNCT
ejpam-5008	112	94	(	(	PUNCT
ejpam-5008	112	95	0.9	0.9	NUM
ejpam-5008	112	96	)	)	PUNCT
ejpam-5008	112	97	,	,	PUNCT
ejpam-5008	112	98	(	(	PUNCT
ejpam-5008	112	99	0.7	0.7	NUM
ejpam-5008	112	100	,	,	PUNCT
ejpam-5008	112	101	0.9	0.9	NUM
ejpam-5008	112	102	)	)	PUNCT
ejpam-5008	112	103	}	}	PUNCT
ejpam-5008	112	104	{	{	PUNCT
ejpam-5008	112	105	(	(	PUNCT
ejpam-5008	112	106	0.8	0.8	NUM
ejpam-5008	112	107	,	,	PUNCT
ejpam-5008	112	108	0.8	0.8	NUM
ejpam-5008	112	109	,	,	PUNCT
ejpam-5008	112	110	0.9	0.9	NUM
ejpam-5008	112	111	)	)	PUNCT
ejpam-5008	112	112	,	,	PUNCT
ejpam-5008	112	113	(	(	PUNCT
ejpam-5008	112	114	0.9	0.9	NUM
ejpam-5008	112	115	,	,	PUNCT
ejpam-5008	112	116	0.8	0.8	NUM
ejpam-5008	112	117	)	)	PUNCT
ejpam-5008	112	118	,	,	PUNCT
ejpam-5008	112	119	(	(	PUNCT
ejpam-5008	112	120	0.9	0.9	NUM
ejpam-5008	112	121	)	)	PUNCT
ejpam-5008	112	122	}	}	PUNCT
ejpam-5008	112	123	{	{	PUNCT
ejpam-5008	112	124	(	(	PUNCT
ejpam-5008	112	125	0.3	0.3	NUM
ejpam-5008	112	126	,	,	PUNCT
ejpam-5008	112	127	0.3	0.3	NUM
ejpam-5008	112	128	,	,	PUNCT
ejpam-5008	112	129	0.4	0.4	NUM
ejpam-5008	112	130	)	)	PUNCT
ejpam-5008	112	131	,	,	PUNCT
ejpam-5008	112	132	(	(	PUNCT
ejpam-5008	112	133	0.6	0.6	NUM
ejpam-5008	112	134	,	,	PUNCT
ejpam-5008	112	135	0.5	0.5	NUM
ejpam-5008	112	136	)	)	PUNCT
ejpam-5008	112	137	,	,	PUNCT
ejpam-5008	112	138	[	[	X
ejpam-5008	112	139	0.3	0.3	NUM
ejpam-5008	112	140	,	,	PUNCT
ejpam-5008	112	141	0.1	0.1	NUM
ejpam-5008	112	142	)	)	PUNCT
ejpam-5008	112	143	}	}	PUNCT
ejpam-5008	112	144	*	*	PUNCT
ejpam-5008	112	145	(	(	PUNCT
ejpam-5008	112	146	x2,υ	x2,υ	PROPN
ejpam-5008	112	147	)	)	PUNCT
ejpam-5008	112	148	(	(	PUNCT
ejpam-5008	112	149	x3,γ	x3,γ	PROPN
ejpam-5008	112	150	)	)	PUNCT
ejpam-5008	112	151	(	(	PUNCT
ejpam-5008	112	152	x3,υ	x3,υ	PROPN
ejpam-5008	112	153	)	)	PUNCT
ejpam-5008	112	154	e1	e1	PROPN
ejpam-5008	112	155	{	{	PUNCT
ejpam-5008	112	156	(	(	PUNCT
ejpam-5008	112	157	0.8	0.8	NUM
ejpam-5008	112	158	,	,	PUNCT
ejpam-5008	112	159	0.7	0.7	NUM
ejpam-5008	112	160	)	)	PUNCT
ejpam-5008	112	161	,	,	PUNCT
ejpam-5008	112	162	(	(	PUNCT
ejpam-5008	112	163	0.6	0.6	NUM
ejpam-5008	112	164	)	)	PUNCT
ejpam-5008	112	165	,	,	PUNCT
ejpam-5008	113	1	[	[	X
ejpam-5008	113	2	0.5	0.5	NUM
ejpam-5008	113	3	]	]	PUNCT
ejpam-5008	113	4	}	}	PUNCT
ejpam-5008	113	5	{	{	PUNCT
ejpam-5008	113	6	(	(	PUNCT
ejpam-5008	113	7	0.3	0.3	NUM
ejpam-5008	113	8	,	,	PUNCT
ejpam-5008	113	9	0.5	0.5	NUM
ejpam-5008	113	10	)	)	PUNCT
ejpam-5008	113	11	,	,	PUNCT
ejpam-5008	113	12	(	(	PUNCT
ejpam-5008	113	13	0.2	0.2	NUM
ejpam-5008	113	14	)	)	PUNCT
ejpam-5008	113	15	,	,	PUNCT
ejpam-5008	113	16	(	(	PUNCT
ejpam-5008	113	17	0.1	0.1	NUM
ejpam-5008	113	18	)	)	PUNCT
ejpam-5008	113	19	}	}	PUNCT
ejpam-5008	113	20	{	{	PUNCT
ejpam-5008	113	21	(	(	PUNCT
ejpam-5008	113	22	0.1	0.1	NUM
ejpam-5008	113	23	,	,	PUNCT
ejpam-5008	113	24	0.3	0.3	NUM
ejpam-5008	113	25	)	)	PUNCT
ejpam-5008	113	26	,	,	PUNCT
ejpam-5008	113	27	(	(	PUNCT
ejpam-5008	113	28	0.1	0.1	NUM
ejpam-5008	113	29	,	,	PUNCT
ejpam-5008	113	30	0.6	0.6	NUM
ejpam-5008	113	31	)	)	PUNCT
ejpam-5008	113	32	,	,	PUNCT
ejpam-5008	113	33	(	(	PUNCT
ejpam-5008	113	34	0.5	0.5	NUM
ejpam-5008	113	35	)	)	PUNCT
ejpam-5008	113	36	}	}	PUNCT
ejpam-5008	113	37	e2	e2	NOUN
ejpam-5008	113	38	{	{	PUNCT
ejpam-5008	113	39	[	[	X
ejpam-5008	113	40	0.7	0.7	NUM
ejpam-5008	113	41	]	]	PUNCT
ejpam-5008	113	42	,	,	PUNCT
ejpam-5008	113	43	(	(	PUNCT
ejpam-5008	113	44	0.8	0.8	NUM
ejpam-5008	113	45	,	,	PUNCT
ejpam-5008	113	46	0.8	0.8	NUM
ejpam-5008	113	47	,	,	PUNCT
ejpam-5008	113	48	0.7	0.7	NUM
ejpam-5008	113	49	)	)	PUNCT
ejpam-5008	113	50	,	,	PUNCT
ejpam-5008	113	51	(	(	PUNCT
ejpam-5008	113	52	0.6	0.6	NUM
ejpam-5008	113	53	)	)	PUNCT
ejpam-5008	113	54	}	}	PUNCT
ejpam-5008	113	55	{	{	PUNCT
ejpam-5008	113	56	[	[	X
ejpam-5008	113	57	0.5	0.5	NUM
ejpam-5008	113	58	]	]	PUNCT
ejpam-5008	113	59	,	,	PUNCT
ejpam-5008	113	60	(	(	PUNCT
ejpam-5008	113	61	0.6	0.6	NUM
ejpam-5008	113	62	,	,	PUNCT
ejpam-5008	113	63	0.5	0.5	NUM
ejpam-5008	113	64	)	)	PUNCT
ejpam-5008	113	65	,	,	PUNCT
ejpam-5008	113	66	(	(	PUNCT
ejpam-5008	113	67	0.3	0.3	NUM
ejpam-5008	113	68	)	)	PUNCT
ejpam-5008	113	69	}	}	PUNCT
ejpam-5008	113	70	{	{	PUNCT
ejpam-5008	113	71	(	(	PUNCT
ejpam-5008	113	72	0.7	0.7	NUM
ejpam-5008	113	73	,	,	PUNCT
ejpam-5008	113	74	0.6	0.6	NUM
ejpam-5008	113	75	)	)	PUNCT
ejpam-5008	113	76	,	,	PUNCT
ejpam-5008	113	77	(	(	PUNCT
ejpam-5008	113	78	0.5	0.5	NUM
ejpam-5008	113	79	,	,	PUNCT
ejpam-5008	113	80	0.7	0.7	NUM
ejpam-5008	113	81	)	)	PUNCT
ejpam-5008	113	82	,	,	PUNCT
ejpam-5008	114	1	[	[	X
ejpam-5008	114	2	0.5	0.5	NUM
ejpam-5008	114	3	]	]	PUNCT
ejpam-5008	114	4	}	}	PUNCT
ejpam-5008	114	5	e3	e3	VERB
ejpam-5008	114	6	{	{	PUNCT
ejpam-5008	114	7	[	[	X
ejpam-5008	114	8	0.3	0.3	NUM
ejpam-5008	114	9	]	]	PUNCT
ejpam-5008	114	10	,	,	PUNCT
ejpam-5008	114	11	(	(	PUNCT
ejpam-5008	114	12	0.5	0.5	NUM
ejpam-5008	114	13	,	,	PUNCT
ejpam-5008	114	14	0.2	0.2	NUM
ejpam-5008	114	15	)	)	PUNCT
ejpam-5008	114	16	,	,	PUNCT
ejpam-5008	114	17	(	(	PUNCT
ejpam-5008	114	18	0.3	0.3	NUM
ejpam-5008	114	19	,	,	PUNCT
ejpam-5008	114	20	0.1	0.1	NUM
ejpam-5008	114	21	)	)	PUNCT
ejpam-5008	114	22	}	}	PUNCT
ejpam-5008	114	23	{	{	PUNCT
ejpam-5008	114	24	(	(	PUNCT
ejpam-5008	114	25	0.4	0.4	NUM
ejpam-5008	114	26	,	,	PUNCT
ejpam-5008	114	27	0.3	0.3	NUM
ejpam-5008	114	28	]	]	PUNCT
ejpam-5008	114	29	,	,	PUNCT
ejpam-5008	114	30	(	(	PUNCT
ejpam-5008	114	31	0.5	0.5	NUM
ejpam-5008	114	32	,	,	PUNCT
ejpam-5008	114	33	0.4	0.4	NUM
ejpam-5008	114	34	,	,	PUNCT
ejpam-5008	114	35	0.3	0.3	NUM
ejpam-5008	114	36	)	)	PUNCT
ejpam-5008	114	37	,	,	PUNCT
ejpam-5008	114	38	(	(	PUNCT
ejpam-5008	114	39	0.2	0.2	NUM
ejpam-5008	114	40	,	,	PUNCT
ejpam-5008	114	41	0.2	0.2	NUM
ejpam-5008	114	42	)	)	PUNCT
ejpam-5008	114	43	}	}	PUNCT
ejpam-5008	114	44	{	{	PUNCT
ejpam-5008	114	45	(	(	PUNCT
ejpam-5008	114	46	0.3	0.3	NUM
ejpam-5008	114	47	,	,	PUNCT
ejpam-5008	114	48	0.1	0.1	NUM
ejpam-5008	114	49	,	,	PUNCT
ejpam-5008	114	50	0.3	0.3	NUM
ejpam-5008	114	51	)	)	PUNCT
ejpam-5008	114	52	,	,	PUNCT
ejpam-5008	114	53	(	(	PUNCT
ejpam-5008	114	54	0.4	0.4	NUM
ejpam-5008	114	55	)	)	PUNCT
ejpam-5008	114	56	,	,	PUNCT
ejpam-5008	114	57	[	[	X
ejpam-5008	114	58	0.2	0.2	NUM
ejpam-5008	114	59	,	,	PUNCT
ejpam-5008	114	60	0.3	0.3	NUM
ejpam-5008	114	61	]	]	PUNCT
ejpam-5008	114	62	}	}	PUNCT
ejpam-5008	114	63	thus	thus	ADV
ejpam-5008	114	64	it	it	PRON
ejpam-5008	114	65	’s	’	VERB
ejpam-5008	114	66	3	3	NUM
ejpam-5008	114	67	-	-	NUM
ejpam-5008	114	68	polar	polar	ADJ
ejpam-5008	114	69	q	q	ADJ
ejpam-5008	114	70	-	-	PUNCT
ejpam-5008	114	71	hesitant	hesitant	ADJ
ejpam-5008	114	72	fuzzy	fuzzy	ADJ
ejpam-5008	114	73	soft	soft	ADJ
ejpam-5008	114	74	implicative	implicative	ADJ
ejpam-5008	114	75	ideals	ideal	NOUN
ejpam-5008	114	76	.	.	PUNCT
ejpam-5008	115	1	proposition	proposition	NOUN
ejpam-5008	115	2	1	1	NUM
ejpam-5008	115	3	.	.	PUNCT
ejpam-5008	116	1	in	in	ADP
ejpam-5008	116	2	bck	bck	NOUN
ejpam-5008	116	3	-	-	PUNCT
ejpam-5008	116	4	algebra	algebra	NOUN
ejpam-5008	116	5	b	b	NOUN
ejpam-5008	116	6	the	the	DET
ejpam-5008	116	7	entirety	entirety	NOUN
ejpam-5008	116	8	of	of	ADP
ejpam-5008	116	9	multi	multi	ADJ
ejpam-5008	116	10	-	-	ADJ
ejpam-5008	116	11	polar	polar	ADJ
ejpam-5008	116	12	q	q	ADJ
ejpam-5008	116	13	-	-	PUNCT
ejpam-5008	116	14	hesitant	hesitant	ADJ
ejpam-5008	116	15	fuzzy	fuzzy	ADJ
ejpam-5008	116	16	soft	soft	ADJ
ejpam-5008	116	17	implicative	implicative	ADJ
ejpam-5008	116	18	ideal	ideal	NOUN
ejpam-5008	116	19	is	be	AUX
ejpam-5008	116	20	a	a	DET
ejpam-5008	116	21	multi	multi	ADJ
ejpam-5008	116	22	-	-	ADJ
ejpam-5008	116	23	polar	polar	ADJ
ejpam-5008	116	24	q	q	ADJ
ejpam-5008	116	25	-	-	PUNCT
ejpam-5008	116	26	hesitant	hesitant	ADJ
ejpam-5008	116	27	fuzzy	fuzzy	ADJ
ejpam-5008	116	28	soft	soft	ADJ
ejpam-5008	116	29	ideal	ideal	ADJ
ejpam-5008	116	30	proof	proof	NOUN
ejpam-5008	116	31	.	.	PUNCT
ejpam-5008	117	1	let	let	VERB
ejpam-5008	117	2	µs[e	µs[e	PROPN
ejpam-5008	117	3	]	]	PUNCT
ejpam-5008	117	4	be	be	AUX
ejpam-5008	117	5	multi	multi	ADJ
ejpam-5008	117	6	-	-	ADJ
ejpam-5008	117	7	polar	polar	ADJ
ejpam-5008	117	8	q	q	ADJ
ejpam-5008	117	9	-	-	PUNCT
ejpam-5008	117	10	hesitant	hesitant	ADJ
ejpam-5008	117	11	fuzzy	fuzzy	ADJ
ejpam-5008	117	12	soft	soft	ADJ
ejpam-5008	117	13	implicative	implicative	ADJ
ejpam-5008	117	14	ideal	ideal	NOUN
ejpam-5008	117	15	over	over	ADP
ejpam-5008	117	16	b.	b.	PROPN
ejpam-5008	117	17	let	let	VERB
ejpam-5008	117	18	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	117	19	∈	∈	PROPN
ejpam-5008	117	20	b	b	PROPN
ejpam-5008	117	21	,	,	PUNCT
ejpam-5008	117	22	then	then	ADV
ejpam-5008	117	23	:	:	PUNCT
ejpam-5008	117	24	µs[e](α	µs[e](α	PROPN
ejpam-5008	117	25	,	,	PUNCT
ejpam-5008	117	26	q	q	X
ejpam-5008	117	27	)	)	PUNCT
ejpam-5008	117	28	⊇	⊇	NOUN
ejpam-5008	117	29	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	117	30	∗	∗	NOUN
ejpam-5008	117	31	(	(	PUNCT
ejpam-5008	117	32	ϖ	ϖ	X
ejpam-5008	117	33	∗	∗	NOUN
ejpam-5008	117	34	α	α	NOUN
ejpam-5008	117	35	)	)	PUNCT
ejpam-5008	117	36	)	)	PUNCT
ejpam-5008	118	1	∗∆	∗∆	PROPN
ejpam-5008	118	2	,	,	PUNCT
ejpam-5008	118	3	q	q	ADJ
ejpam-5008	118	4	)	)	PUNCT
ejpam-5008	118	5	∩	∩	ADJ
ejpam-5008	118	6	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	118	7	,	,	PUNCT
ejpam-5008	118	8	q	q	NOUN
ejpam-5008	118	9	)	)	PUNCT
ejpam-5008	118	10	replace	replace	VERB
ejpam-5008	118	11	ϖ	ϖ	NOUN
ejpam-5008	118	12	=	=	SYM
ejpam-5008	118	13	α	α	PROPN
ejpam-5008	118	14	,	,	PUNCT
ejpam-5008	118	15	and	and	CCONJ
ejpam-5008	118	16	using	use	VERB
ejpam-5008	118	17	α	α	PROPN
ejpam-5008	118	18	∗	∗	NOUN
ejpam-5008	118	19	α	α	NOUN
ejpam-5008	118	20	=	=	SYM
ejpam-5008	118	21	0	0	NUM
ejpam-5008	118	22	,	,	PUNCT
ejpam-5008	118	23	we	we	PRON
ejpam-5008	118	24	get	get	VERB
ejpam-5008	118	25	µs[e](α	µs[e](α	PROPN
ejpam-5008	118	26	,	,	PUNCT
ejpam-5008	118	27	q	q	ADJ
ejpam-5008	118	28	)	)	PUNCT
ejpam-5008	118	29	⊇	⊇	NOUN
ejpam-5008	118	30	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	118	31	∗	∗	NOUN
ejpam-5008	118	32	(	(	PUNCT
ejpam-5008	118	33	α	α	X
ejpam-5008	118	34	∗	∗	NOUN
ejpam-5008	118	35	α	α	NOUN
ejpam-5008	118	36	)	)	PUNCT
ejpam-5008	118	37	)	)	PUNCT
ejpam-5008	119	1	∗∆	∗∆	PROPN
ejpam-5008	119	2	,	,	PUNCT
ejpam-5008	119	3	q	q	ADJ
ejpam-5008	119	4	)	)	PUNCT
ejpam-5008	119	5	∩	∩	ADJ
ejpam-5008	119	6	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	119	7	,	,	PUNCT
ejpam-5008	119	8	q	q	NOUN
ejpam-5008	119	9	)	)	PUNCT
ejpam-5008	119	10	=	=	SYM
ejpam-5008	119	11	µs[e](α	µs[e](α	PROPN
ejpam-5008	119	12	∗∆	∗∆	PROPN
ejpam-5008	119	13	,	,	PUNCT
ejpam-5008	119	14	q	q	ADJ
ejpam-5008	119	15	)	)	PUNCT
ejpam-5008	119	16	∩	∩	ADJ
ejpam-5008	119	17	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	119	18	,	,	PUNCT
ejpam-5008	119	19	q	q	NOUN
ejpam-5008	119	20	)	)	PUNCT
ejpam-5008	119	21	for	for	ADP
ejpam-5008	119	22	all	all	DET
ejpam-5008	119	23	α,∆	α,∆	NUM
ejpam-5008	119	24	∈	∈	PROPN
ejpam-5008	119	25	b	b	NOUN
ejpam-5008	119	26	,	,	PUNCT
ejpam-5008	119	27	e	e	PROPN
ejpam-5008	119	28	∈	∈	PROPN
ejpam-5008	119	29	a.	a.	NOUN
ejpam-5008	119	30	is	be	AUX
ejpam-5008	119	31	multi	multi	ADJ
ejpam-5008	119	32	-	-	ADJ
ejpam-5008	119	33	polar	polar	ADJ
ejpam-5008	119	34	q	q	ADJ
ejpam-5008	119	35	-	-	PUNCT
ejpam-5008	119	36	hesitant	hesitant	ADJ
ejpam-5008	119	37	fuzzy	fuzzy	ADJ
ejpam-5008	119	38	soft	soft	ADJ
ejpam-5008	119	39	ideal	ideal	NOUN
ejpam-5008	119	40	.	.	PUNCT
ejpam-5008	120	1	262	262	NUM
ejpam-5008	120	2	theorem	theorem	NOUN
ejpam-5008	120	3	1	1	NUM
ejpam-5008	120	4	.	.	PUNCT
ejpam-5008	121	1	let	let	VERB
ejpam-5008	121	2	b	b	X
ejpam-5008	121	3	be	be	AUX
ejpam-5008	121	4	an	an	DET
ejpam-5008	121	5	implicative	implicative	ADJ
ejpam-5008	121	6	bck	bck	NOUN
ejpam-5008	121	7	-	-	PUNCT
ejpam-5008	121	8	algebra	algebra	NOUN
ejpam-5008	121	9	,	,	PUNCT
ejpam-5008	121	10	then	then	ADV
ejpam-5008	121	11	every	every	DET
ejpam-5008	121	12	multi	multi	ADJ
ejpam-5008	121	13	-	-	ADJ
ejpam-5008	121	14	polar	polar	ADJ
ejpam-5008	121	15	q	q	ADJ
ejpam-5008	121	16	-	-	PUNCT
ejpam-5008	121	17	hesitant	hesitant	ADJ
ejpam-5008	121	18	fuzzy	fuzzy	ADJ
ejpam-5008	121	19	soft	soft	ADJ
ejpam-5008	121	20	ideal	ideal	NOUN
ejpam-5008	121	21	over	over	ADP
ejpam-5008	121	22	b	b	PROPN
ejpam-5008	121	23	is	be	AUX
ejpam-5008	121	24	a	a	DET
ejpam-5008	121	25	multi	multi	ADJ
ejpam-5008	121	26	-	-	ADJ
ejpam-5008	121	27	polar	polar	ADJ
ejpam-5008	121	28	q	q	ADJ
ejpam-5008	121	29	-	-	PUNCT
ejpam-5008	121	30	hesitant	hesitant	ADJ
ejpam-5008	121	31	fuzzy	fuzzy	ADJ
ejpam-5008	121	32	soft	soft	ADJ
ejpam-5008	121	33	implicative	implicative	ADJ
ejpam-5008	121	34	ideal	ideal	NOUN
ejpam-5008	121	35	.	.	PUNCT
ejpam-5008	122	1	proof	proof	NOUN
ejpam-5008	122	2	.	.	PUNCT
ejpam-5008	123	1	let	let	VERB
ejpam-5008	123	2	b	b	X
ejpam-5008	123	3	be	be	AUX
ejpam-5008	123	4	an	an	DET
ejpam-5008	123	5	implicative	implicative	ADJ
ejpam-5008	123	6	bck	bck	NOUN
ejpam-5008	123	7	-	-	PUNCT
ejpam-5008	123	8	algebra	algebra	NOUN
ejpam-5008	123	9	,	,	PUNCT
ejpam-5008	123	10	it	it	PRON
ejpam-5008	123	11	follows	follow	VERB
ejpam-5008	123	12	that	that	SCONJ
ejpam-5008	123	13	α	α	PROPN
ejpam-5008	123	14	=	=	SYM
ejpam-5008	123	15	α∗(ϖ∗α	α∗(ϖ∗α	NUM
ejpam-5008	123	16	)	)	PUNCT
ejpam-5008	123	17	,	,	PUNCT
ejpam-5008	123	18	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	123	19	∈	∈	PROPN
ejpam-5008	123	20	b	b	PROPN
ejpam-5008	123	21	and	and	CCONJ
ejpam-5008	123	22	e	e	PROPN
ejpam-5008	123	23	∈	∈	PROPN
ejpam-5008	123	24	a.	a.	NOUN
ejpam-5008	123	25	let	let	VERB
ejpam-5008	123	26	µs[e	µs[e	PROPN
ejpam-5008	123	27	]	]	PUNCT
ejpam-5008	123	28	be	be	AUX
ejpam-5008	123	29	an	an	DET
ejpam-5008	123	30	multi	multi	ADJ
ejpam-5008	123	31	-	-	ADJ
ejpam-5008	123	32	polar	polar	ADJ
ejpam-5008	123	33	q	q	ADJ
ejpam-5008	123	34	-	-	PUNCT
ejpam-5008	123	35	hesitant	hesitant	ADJ
ejpam-5008	123	36	fuzzy	fuzzy	ADJ
ejpam-5008	123	37	soft	soft	ADJ
ejpam-5008	123	38	ideal	ideal	NOUN
ejpam-5008	123	39	,	,	PUNCT
ejpam-5008	123	40	then	then	ADV
ejpam-5008	123	41	we	we	PRON
ejpam-5008	123	42	have	have	VERB
ejpam-5008	123	43	:	:	PUNCT
ejpam-5008	123	44	µs[e](α	µs[e](α	NOUN
ejpam-5008	123	45	,	,	PUNCT
ejpam-5008	123	46	q	q	X
ejpam-5008	123	47	)	)	PUNCT
ejpam-5008	123	48	⊇	⊇	PROPN
ejpam-5008	123	49	µs[e](α	µs[e](α	PROPN
ejpam-5008	123	50	∗∆	∗∆	PROPN
ejpam-5008	123	51	,	,	PUNCT
ejpam-5008	123	52	q	q	ADJ
ejpam-5008	123	53	)	)	PUNCT
ejpam-5008	123	54	∩	∩	ADJ
ejpam-5008	123	55	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	123	56	,	,	PUNCT
ejpam-5008	123	57	q	q	NOUN
ejpam-5008	123	58	)	)	PUNCT
ejpam-5008	123	59	=	=	SYM
ejpam-5008	123	60	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	123	61	∗	∗	NOUN
ejpam-5008	123	62	(	(	PUNCT
ejpam-5008	123	63	ϖ	ϖ	X
ejpam-5008	123	64	∗	∗	NOUN
ejpam-5008	123	65	α	α	NOUN
ejpam-5008	123	66	)	)	PUNCT
ejpam-5008	123	67	)	)	PUNCT
ejpam-5008	124	1	∗∆	∗∆	PROPN
ejpam-5008	124	2	,	,	PUNCT
ejpam-5008	124	3	q	q	ADJ
ejpam-5008	124	4	)	)	PUNCT
ejpam-5008	124	5	∩	∩	ADJ
ejpam-5008	124	6	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	124	7	,	,	PUNCT
ejpam-5008	124	8	q	q	NOUN
ejpam-5008	124	9	)	)	PUNCT
ejpam-5008	124	10	for	for	ADP
ejpam-5008	124	11	all	all	DET
ejpam-5008	124	12	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	124	13	∈	∈	PROPN
ejpam-5008	124	14	b	b	PROPN
ejpam-5008	124	15	,	,	PUNCT
ejpam-5008	124	16	e	e	PROPN
ejpam-5008	124	17	∈	∈	PROPN
ejpam-5008	124	18	a.	a.	NOUN
ejpam-5008	125	1	hence	hence	ADV
ejpam-5008	125	2	it	it	PRON
ejpam-5008	125	3	is	be	AUX
ejpam-5008	125	4	multi	multi	ADJ
ejpam-5008	125	5	-	-	ADJ
ejpam-5008	125	6	polar	polar	ADJ
ejpam-5008	125	7	q	q	ADJ
ejpam-5008	125	8	-	-	PUNCT
ejpam-5008	125	9	hesitant	hesitant	ADJ
ejpam-5008	125	10	fuzzy	fuzzy	ADJ
ejpam-5008	125	11	soft	soft	ADJ
ejpam-5008	125	12	implicative	implicative	ADJ
ejpam-5008	125	13	ideal	ideal	NOUN
ejpam-5008	125	14	of	of	ADP
ejpam-5008	125	15	b.	b.	PROPN
ejpam-5008	125	16	theorem	theorem	PROPN
ejpam-5008	125	17	2	2	X
ejpam-5008	125	18	.	.	PUNCT
ejpam-5008	126	1	let	let	AUX
ejpam-5008	126	2	(	(	PUNCT
ejpam-5008	126	3	s	s	X
ejpam-5008	126	4	,	,	PUNCT
ejpam-5008	126	5	a	a	PRON
ejpam-5008	126	6	)	)	PUNCT
ejpam-5008	126	7	be	be	AUX
ejpam-5008	126	8	a	a	DET
ejpam-5008	126	9	multi	multi	ADJ
ejpam-5008	126	10	-	-	ADJ
ejpam-5008	126	11	polar	polar	ADJ
ejpam-5008	126	12	q	q	ADJ
ejpam-5008	126	13	-	-	PUNCT
ejpam-5008	126	14	hesitant	hesitant	ADJ
ejpam-5008	126	15	fuzzy	fuzzy	ADJ
ejpam-5008	126	16	soft	soft	ADJ
ejpam-5008	126	17	ideal	ideal	NOUN
ejpam-5008	126	18	of	of	ADP
ejpam-5008	126	19	bck	bck	NOUN
ejpam-5008	126	20	-	-	PUNCT
ejpam-5008	126	21	algebra	algebra	PROPN
ejpam-5008	126	22	b.	b.	PROPN
ejpam-5008	127	1	then	then	ADV
ejpam-5008	127	2	(	(	PUNCT
ejpam-5008	127	3	s	s	X
ejpam-5008	127	4	,	,	PUNCT
ejpam-5008	127	5	a	a	PRON
ejpam-5008	127	6	)	)	PUNCT
ejpam-5008	127	7	is	be	AUX
ejpam-5008	127	8	a	a	DET
ejpam-5008	127	9	multi	multi	ADJ
ejpam-5008	127	10	-	-	ADJ
ejpam-5008	127	11	polar	polar	ADJ
ejpam-5008	127	12	q	q	ADJ
ejpam-5008	127	13	-	-	PUNCT
ejpam-5008	127	14	hesitant	hesitant	ADJ
ejpam-5008	127	15	fuzzy	fuzzy	ADJ
ejpam-5008	127	16	soft	soft	ADJ
ejpam-5008	127	17	implicative	implicative	ADJ
ejpam-5008	127	18	ideal	ideal	NOUN
ejpam-5008	127	19	of	of	ADP
ejpam-5008	127	20	b	b	NOUN
ejpam-5008	127	21	if	if	SCONJ
ejpam-5008	127	22	and	and	CCONJ
ejpam-5008	127	23	only	only	ADV
ejpam-5008	127	24	if	if	SCONJ
ejpam-5008	127	25	it	it	PRON
ejpam-5008	127	26	satisfies	satisfy	VERB
ejpam-5008	127	27	the	the	DET
ejpam-5008	127	28	condition	condition	NOUN
ejpam-5008	127	29	:	:	PUNCT
ejpam-5008	127	30	µs[e](α	µs[e](α	PROPN
ejpam-5008	127	31	,	,	PUNCT
ejpam-5008	127	32	q	q	X
ejpam-5008	127	33	)	)	PUNCT
ejpam-5008	127	34	⊇	⊇	NOUN
ejpam-5008	127	35	µs[e](α	µs[e](α	PROPN
ejpam-5008	127	36	∗	∗	NOUN
ejpam-5008	127	37	(	(	PUNCT
ejpam-5008	127	38	ϖ	ϖ	X
ejpam-5008	127	39	∗	∗	NOUN
ejpam-5008	127	40	α	α	NOUN
ejpam-5008	127	41	)	)	PUNCT
ejpam-5008	127	42	,	,	PUNCT
ejpam-5008	127	43	q	q	X
ejpam-5008	127	44	)	)	PUNCT
ejpam-5008	127	45	(	(	PUNCT
ejpam-5008	127	46	7	7	X
ejpam-5008	127	47	)	)	PUNCT
ejpam-5008	127	48	for	for	ADP
ejpam-5008	127	49	all	all	DET
ejpam-5008	127	50	α,ϖ	α,ϖ	PROPN
ejpam-5008	127	51	∈	∈	PROPN
ejpam-5008	127	52	b	b	PROPN
ejpam-5008	127	53	,	,	PUNCT
ejpam-5008	127	54	q	q	PROPN
ejpam-5008	127	55	∈	∈	PROPN
ejpam-5008	127	56	q	q	X
ejpam-5008	127	57	and	and	CCONJ
ejpam-5008	127	58	e	e	NOUN
ejpam-5008	127	59	∈	∈	PROPN
ejpam-5008	127	60	a	a	DET
ejpam-5008	127	61	proof	proof	NOUN
ejpam-5008	127	62	.	.	PUNCT
ejpam-5008	128	1	assume	assume	VERB
ejpam-5008	128	2	that	that	SCONJ
ejpam-5008	128	3	(	(	PUNCT
ejpam-5008	128	4	s	s	X
ejpam-5008	128	5	,	,	PUNCT
ejpam-5008	128	6	a	a	PRON
ejpam-5008	128	7	)	)	PUNCT
ejpam-5008	128	8	is	be	AUX
ejpam-5008	128	9	a	a	DET
ejpam-5008	128	10	multi	multi	ADJ
ejpam-5008	128	11	-	-	ADJ
ejpam-5008	128	12	polar	polar	ADJ
ejpam-5008	128	13	q	q	ADJ
ejpam-5008	128	14	-	-	PUNCT
ejpam-5008	128	15	hesitant	hesitant	ADJ
ejpam-5008	128	16	fuzzy	fuzzy	ADJ
ejpam-5008	128	17	soft	soft	ADJ
ejpam-5008	128	18	implicative	implicative	ADJ
ejpam-5008	128	19	ideal	ideal	NOUN
ejpam-5008	128	20	of	of	ADP
ejpam-5008	128	21	b.	b.	PROPN
ejpam-5008	128	22	take	take	VERB
ejpam-5008	128	23	∆	∆	X
ejpam-5008	129	1	=	=	SYM
ejpam-5008	129	2	0	0	NUM
ejpam-5008	129	3	in	in	ADP
ejpam-5008	129	4	µs[e](α	µs[e](α	PROPN
ejpam-5008	129	5	,	,	PUNCT
ejpam-5008	129	6	q	q	X
ejpam-5008	129	7	)	)	PUNCT
ejpam-5008	129	8	⊇	⊇	NOUN
ejpam-5008	129	9	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	129	10	∗	∗	NOUN
ejpam-5008	129	11	(	(	PUNCT
ejpam-5008	129	12	ϖ	ϖ	X
ejpam-5008	129	13	∗	∗	NOUN
ejpam-5008	129	14	α	α	NOUN
ejpam-5008	129	15	)	)	PUNCT
ejpam-5008	129	16	)	)	PUNCT
ejpam-5008	130	1	∗∆	∗∆	PROPN
ejpam-5008	130	2	,	,	PUNCT
ejpam-5008	130	3	q	q	ADJ
ejpam-5008	130	4	)	)	PUNCT
ejpam-5008	130	5	∩	∩	ADJ
ejpam-5008	130	6	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	130	7	,	,	PUNCT
ejpam-5008	130	8	q	q	NOUN
ejpam-5008	130	9	)	)	PUNCT
ejpam-5008	130	10	=	=	SYM
ejpam-5008	130	11	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	130	12	∗	∗	NOUN
ejpam-5008	130	13	(	(	PUNCT
ejpam-5008	130	14	ϖ	ϖ	X
ejpam-5008	130	15	∗	∗	NOUN
ejpam-5008	130	16	α	α	NOUN
ejpam-5008	130	17	)	)	PUNCT
ejpam-5008	130	18	)	)	PUNCT
ejpam-5008	130	19	∗	∗	NOUN
ejpam-5008	130	20	0	0	NUM
ejpam-5008	130	21	,	,	PUNCT
ejpam-5008	130	22	q	q	NOUN
ejpam-5008	130	23	)	)	PUNCT
ejpam-5008	130	24	∩	∩	ADJ
ejpam-5008	130	25	µs[e](0	µs[e](0	PROPN
ejpam-5008	130	26	,	,	PUNCT
ejpam-5008	130	27	q	q	NOUN
ejpam-5008	130	28	)	)	PUNCT
ejpam-5008	130	29	=	=	SYM
ejpam-5008	130	30	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	130	31	∗	∗	NOUN
ejpam-5008	130	32	(	(	PUNCT
ejpam-5008	130	33	ϖ	ϖ	X
ejpam-5008	130	34	∗	∗	NOUN
ejpam-5008	130	35	α	α	NOUN
ejpam-5008	130	36	)	)	PUNCT
ejpam-5008	130	37	)	)	PUNCT
ejpam-5008	130	38	,	,	PUNCT
ejpam-5008	130	39	q	q	X
ejpam-5008	130	40	)	)	PUNCT
ejpam-5008	130	41	conversely	conversely	ADV
ejpam-5008	130	42	,	,	PUNCT
ejpam-5008	130	43	suppose	suppose	VERB
ejpam-5008	130	44	that	that	SCONJ
ejpam-5008	130	45	(	(	PUNCT
ejpam-5008	130	46	s	s	X
ejpam-5008	130	47	,	,	PUNCT
ejpam-5008	130	48	a	a	PRON
ejpam-5008	130	49	)	)	PUNCT
ejpam-5008	130	50	satisfies	satisfy	VERB
ejpam-5008	130	51	the	the	DET
ejpam-5008	130	52	condition	condition	NOUN
ejpam-5008	130	53	.	.	PUNCT
ejpam-5008	131	1	as	as	SCONJ
ejpam-5008	131	2	(	(	PUNCT
ejpam-5008	131	3	s	s	X
ejpam-5008	131	4	,	,	PUNCT
ejpam-5008	131	5	a	a	PRON
ejpam-5008	131	6	)	)	PUNCT
ejpam-5008	131	7	is	be	AUX
ejpam-5008	131	8	a	a	DET
ejpam-5008	131	9	multi	multi	ADJ
ejpam-5008	131	10	-	-	ADJ
ejpam-5008	131	11	polar	polar	ADJ
ejpam-5008	131	12	q	q	ADJ
ejpam-5008	131	13	-	-	PUNCT
ejpam-5008	131	14	hesitant	hesitant	ADJ
ejpam-5008	131	15	fuzzy	fuzzy	ADJ
ejpam-5008	131	16	soft	soft	ADJ
ejpam-5008	131	17	ideal	ideal	NOUN
ejpam-5008	131	18	of	of	ADP
ejpam-5008	131	19	b.	b.	PROPN
ejpam-5008	131	20	we	we	PRON
ejpam-5008	131	21	have	have	VERB
ejpam-5008	131	22	µs[e](α	µs[e](α	PROPN
ejpam-5008	131	23	,	,	PUNCT
ejpam-5008	131	24	q	q	X
ejpam-5008	131	25	)	)	PUNCT
ejpam-5008	131	26	⊇	⊇	NOUN
ejpam-5008	131	27	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	131	28	∗	∗	NOUN
ejpam-5008	131	29	(	(	PUNCT
ejpam-5008	131	30	ϖ	ϖ	X
ejpam-5008	131	31	∗	∗	NOUN
ejpam-5008	131	32	α	α	NOUN
ejpam-5008	131	33	)	)	PUNCT
ejpam-5008	131	34	)	)	PUNCT
ejpam-5008	131	35	,	,	PUNCT
ejpam-5008	131	36	q	q	X
ejpam-5008	131	37	)	)	PUNCT
ejpam-5008	131	38	⊇	⊇	NOUN
ejpam-5008	131	39	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	131	40	∗	∗	NOUN
ejpam-5008	131	41	(	(	PUNCT
ejpam-5008	131	42	ϖ	ϖ	X
ejpam-5008	131	43	∗	∗	NOUN
ejpam-5008	131	44	α	α	NOUN
ejpam-5008	131	45	)	)	PUNCT
ejpam-5008	131	46	)	)	PUNCT
ejpam-5008	132	1	∗∆	∗∆	PROPN
ejpam-5008	132	2	,	,	PUNCT
ejpam-5008	132	3	q	q	ADJ
ejpam-5008	132	4	)	)	PUNCT
ejpam-5008	132	5	∩	∩	ADJ
ejpam-5008	132	6	µs[e](∆	µs[e](∆	PROPN
ejpam-5008	132	7	,	,	PUNCT
ejpam-5008	132	8	q	q	NOUN
ejpam-5008	132	9	)	)	PUNCT
ejpam-5008	132	10	then	then	ADV
ejpam-5008	132	11	(	(	PUNCT
ejpam-5008	132	12	s	s	X
ejpam-5008	132	13	,	,	PUNCT
ejpam-5008	132	14	a	a	PRON
ejpam-5008	132	15	)	)	PUNCT
ejpam-5008	132	16	is	be	AUX
ejpam-5008	132	17	a	a	DET
ejpam-5008	132	18	multi	multi	ADJ
ejpam-5008	132	19	-	-	ADJ
ejpam-5008	132	20	polar	polar	ADJ
ejpam-5008	132	21	q	q	ADJ
ejpam-5008	132	22	-	-	PUNCT
ejpam-5008	132	23	hesitant	hesitant	ADJ
ejpam-5008	132	24	fuzzy	fuzzy	ADJ
ejpam-5008	132	25	soft	soft	ADJ
ejpam-5008	132	26	implicative	implicative	ADJ
ejpam-5008	132	27	ideal	ideal	NOUN
ejpam-5008	132	28	of	of	ADP
ejpam-5008	132	29	b.	b.	PROPN
ejpam-5008	133	1	so	so	ADV
ejpam-5008	133	2	,	,	PUNCT
ejpam-5008	133	3	the	the	DET
ejpam-5008	133	4	establishment	establishment	NOUN
ejpam-5008	133	5	is	be	AUX
ejpam-5008	133	6	fulfilled	fulfil	VERB
ejpam-5008	133	7	.	.	PUNCT
ejpam-5008	134	1	proposition	proposition	NOUN
ejpam-5008	134	2	2	2	NUM
ejpam-5008	134	3	.	.	PUNCT
ejpam-5008	135	1	every	every	DET
ejpam-5008	135	2	multi	multi	ADJ
ejpam-5008	135	3	-	-	ADJ
ejpam-5008	135	4	polar	polar	ADJ
ejpam-5008	135	5	q	q	ADJ
ejpam-5008	135	6	-	-	PUNCT
ejpam-5008	135	7	hesitant	hesitant	ADJ
ejpam-5008	135	8	fuzzy	fuzzy	ADJ
ejpam-5008	135	9	soft	soft	ADJ
ejpam-5008	135	10	implicative	implicative	ADJ
ejpam-5008	135	11	ideal	ideal	NOUN
ejpam-5008	135	12	of	of	ADP
ejpam-5008	135	13	bck	bck	NOUN
ejpam-5008	135	14	-	-	PUNCT
ejpam-5008	135	15	algebra	algebra	NOUN
ejpam-5008	135	16	is	be	AUX
ejpam-5008	135	17	order	order	NOUN
ejpam-5008	135	18	-	-	PUNCT
ejpam-5008	135	19	preseving	preseving	NOUN
ejpam-5008	135	20	.	.	PUNCT
ejpam-5008	136	1	proof	proof	NOUN
ejpam-5008	136	2	.	.	PUNCT
ejpam-5008	137	1	let	let	AUX
ejpam-5008	137	2	(	(	PUNCT
ejpam-5008	137	3	s	s	X
ejpam-5008	137	4	,	,	PUNCT
ejpam-5008	137	5	a	a	PRON
ejpam-5008	137	6	)	)	PUNCT
ejpam-5008	137	7	be	be	AUX
ejpam-5008	137	8	a	a	DET
ejpam-5008	137	9	multi	multi	ADJ
ejpam-5008	137	10	-	-	ADJ
ejpam-5008	137	11	polar	polar	ADJ
ejpam-5008	137	12	q	q	ADJ
ejpam-5008	137	13	-	-	PUNCT
ejpam-5008	137	14	hesitant	hesitant	ADJ
ejpam-5008	137	15	fuzzy	fuzzy	ADJ
ejpam-5008	137	16	soft	soft	ADJ
ejpam-5008	137	17	implicative	implicative	ADJ
ejpam-5008	137	18	ideal	ideal	NOUN
ejpam-5008	137	19	over	over	ADP
ejpam-5008	137	20	bckalgebra	bckalgebra	NOUN
ejpam-5008	137	21	.	.	PUNCT
ejpam-5008	138	1	let	let	VERB
ejpam-5008	138	2	e	e	PRON
ejpam-5008	138	3	∈	∈	VERB
ejpam-5008	138	4	a	a	PRON
ejpam-5008	138	5	and	and	CCONJ
ejpam-5008	138	6	α,ϖ	α,ϖ	ADP
ejpam-5008	138	7	∈	∈	PROPN
ejpam-5008	139	1	b	b	NOUN
ejpam-5008	139	2	be	be	AUX
ejpam-5008	139	3	such	such	ADJ
ejpam-5008	139	4	that	that	SCONJ
ejpam-5008	139	5	α	α	PROPN
ejpam-5008	139	6	≥	≥	X
ejpam-5008	139	7	ϖ	ϖ	X
ejpam-5008	139	8	µs[e](α	µs[e](α	PROPN
ejpam-5008	139	9	,	,	PUNCT
ejpam-5008	139	10	q	q	X
ejpam-5008	139	11	)	)	PUNCT
ejpam-5008	139	12	⊇	⊇	NOUN
ejpam-5008	139	13	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	139	14	∗	∗	NOUN
ejpam-5008	139	15	(	(	PUNCT
ejpam-5008	139	16	∆	∆	PROPN
ejpam-5008	139	17	∗	∗	NOUN
ejpam-5008	139	18	α	α	NOUN
ejpam-5008	139	19	)	)	PUNCT
ejpam-5008	139	20	)	)	PUNCT
ejpam-5008	140	1	∗ϖ	∗ϖ	PROPN
ejpam-5008	140	2	,	,	PUNCT
ejpam-5008	140	3	q	q	NOUN
ejpam-5008	140	4	)	)	PUNCT
ejpam-5008	140	5	∩	∩	NOUN
ejpam-5008	140	6	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	140	7	,	,	PUNCT
ejpam-5008	140	8	q	q	NOUN
ejpam-5008	140	9	)	)	PUNCT
ejpam-5008	140	10	=	=	SYM
ejpam-5008	140	11	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	140	12	∗ϖ	∗ϖ	NOUN
ejpam-5008	140	13	)	)	PUNCT
ejpam-5008	140	14	∗	∗	NOUN
ejpam-5008	140	15	(	(	PUNCT
ejpam-5008	140	16	∆	∆	PROPN
ejpam-5008	140	17	∗	∗	NOUN
ejpam-5008	140	18	α	α	NOUN
ejpam-5008	140	19	)	)	PUNCT
ejpam-5008	140	20	,	,	PUNCT
ejpam-5008	140	21	q	q	X
ejpam-5008	140	22	)	)	PUNCT
ejpam-5008	140	23	∩	∩	NOUN
ejpam-5008	140	24	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	140	25	,	,	PUNCT
ejpam-5008	140	26	q	q	X
ejpam-5008	140	27	)	)	PUNCT
ejpam-5008	140	28	=	=	SYM
ejpam-5008	140	29	µs[e](0	µs[e](0	NOUN
ejpam-5008	140	30	∗	∗	NOUN
ejpam-5008	140	31	(	(	PUNCT
ejpam-5008	140	32	∆	∆	PROPN
ejpam-5008	140	33	∗	∗	NOUN
ejpam-5008	140	34	α	α	NOUN
ejpam-5008	140	35	)	)	PUNCT
ejpam-5008	140	36	,	,	PUNCT
ejpam-5008	140	37	q	q	X
ejpam-5008	140	38	)	)	PUNCT
ejpam-5008	140	39	∩	∩	NOUN
ejpam-5008	140	40	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	140	41	,	,	PUNCT
ejpam-5008	140	42	q	q	NOUN
ejpam-5008	140	43	)	)	PUNCT
ejpam-5008	140	44	=	=	SYM
ejpam-5008	140	45	µs[e](0	µs[e](0	NOUN
ejpam-5008	140	46	,	,	PUNCT
ejpam-5008	140	47	q	q	NOUN
ejpam-5008	140	48	)	)	PUNCT
ejpam-5008	140	49	∩	∩	NOUN
ejpam-5008	140	50	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	140	51	,	,	PUNCT
ejpam-5008	140	52	q	q	X
ejpam-5008	140	53	)	)	PUNCT
ejpam-5008	140	54	µs[e](ϖ	µs[e](ϖ	NOUN
ejpam-5008	140	55	,	,	PUNCT
ejpam-5008	140	56	q	q	NOUN
ejpam-5008	140	57	)	)	PUNCT
ejpam-5008	140	58	hence	hence	ADV
ejpam-5008	140	59	,	,	PUNCT
ejpam-5008	140	60	the	the	DET
ejpam-5008	140	61	verification	verification	NOUN
ejpam-5008	140	62	is	be	AUX
ejpam-5008	140	63	accomplished	accomplish	VERB
ejpam-5008	140	64	.	.	PUNCT
ejpam-5008	141	1	hence	hence	ADV
ejpam-5008	141	2	µs[e](α	µs[e](α	PROPN
ejpam-5008	141	3	,	,	PUNCT
ejpam-5008	141	4	q	q	ADJ
ejpam-5008	141	5	)	)	PUNCT
ejpam-5008	141	6	⊇	⊇	NOUN
ejpam-5008	141	7	µs[e](ϖ	µs[e](ϖ	NOUN
ejpam-5008	141	8	,	,	PUNCT
ejpam-5008	141	9	q	q	NOUN
ejpam-5008	141	10	)	)	PUNCT
ejpam-5008	141	11	and	and	CCONJ
ejpam-5008	141	12	this	this	PRON
ejpam-5008	141	13	complete	complete	ADJ
ejpam-5008	141	14	the	the	DET
ejpam-5008	141	15	proof	proof	NOUN
ejpam-5008	141	16	.	.	PUNCT
ejpam-5008	142	1	263	263	NUM
ejpam-5008	142	2	4	4	NUM
ejpam-5008	142	3	.	.	PUNCT
ejpam-5008	142	4	multi	multi	ADJ
ejpam-5008	142	5	-	-	ADJ
ejpam-5008	142	6	polar	polar	ADJ
ejpam-5008	142	7	q	q	ADJ
ejpam-5008	142	8	-	-	PUNCT
ejpam-5008	142	9	hesitant	hesitant	ADJ
ejpam-5008	142	10	fuzzy	fuzzy	ADJ
ejpam-5008	142	11	soft	soft	ADJ
ejpam-5008	142	12	positive	positive	ADJ
ejpam-5008	142	13	implicative	implicative	ADJ
ejpam-5008	142	14	ideals	ideal	NOUN
ejpam-5008	142	15	definition	definition	NOUN
ejpam-5008	142	16	9	9	NUM
ejpam-5008	142	17	.	.	PUNCT
ejpam-5008	143	1	a	a	DET
ejpam-5008	143	2	multi	multi	ADJ
ejpam-5008	143	3	-	-	ADJ
ejpam-5008	143	4	polar	polar	ADJ
ejpam-5008	143	5	q	q	ADJ
ejpam-5008	143	6	-	-	PUNCT
ejpam-5008	143	7	hesitant	hesitant	ADJ
ejpam-5008	143	8	fuzzy	fuzzy	ADJ
ejpam-5008	143	9	set	set	NOUN
ejpam-5008	143	10	sα	sα	ADV
ejpam-5008	143	11	=	=	PUNCT
ejpam-5008	143	12	{	{	PUNCT
ejpam-5008	143	13	(	(	PUNCT
ejpam-5008	143	14	α	α	NOUN
ejpam-5008	143	15	,	,	PUNCT
ejpam-5008	143	16	q	q	NOUN
ejpam-5008	143	17	)	)	PUNCT
ejpam-5008	143	18	,	,	PUNCT
ejpam-5008	143	19	µα	µα	ADP
ejpam-5008	143	20	i(α	i(α	PROPN
ejpam-5008	143	21	,	,	PUNCT
ejpam-5008	143	22	q)|α	q)|α	VERB
ejpam-5008	143	23	∈	∈	PROPN
ejpam-5008	143	24	b	b	PROPN
ejpam-5008	143	25	,	,	PUNCT
ejpam-5008	143	26	q	q	PROPN
ejpam-5008	143	27	∈	∈	PROPN
ejpam-5008	143	28	q	q	X
ejpam-5008	143	29	}	}	PUNCT
ejpam-5008	143	30	for	for	ADP
ejpam-5008	143	31	i	i	PROPN
ejpam-5008	143	32	=	=	NOUN
ejpam-5008	143	33	1	1	NUM
ejpam-5008	143	34	,	,	PUNCT
ejpam-5008	143	35	2	2	NUM
ejpam-5008	143	36	,	,	PUNCT
ejpam-5008	143	37	....	....	PUNCT
ejpam-5008	143	38	m.	m.	NOUN
ejpam-5008	143	39	in	in	ADP
ejpam-5008	143	40	b	b	PROPN
ejpam-5008	143	41	is	be	AUX
ejpam-5008	143	42	called	call	VERB
ejpam-5008	143	43	a	a	DET
ejpam-5008	143	44	multi	multi	ADJ
ejpam-5008	143	45	-	-	ADJ
ejpam-5008	143	46	polar	polar	ADJ
ejpam-5008	143	47	q	q	ADJ
ejpam-5008	143	48	-	-	PUNCT
ejpam-5008	143	49	hesitant	hesitant	ADJ
ejpam-5008	143	50	fuzzy	fuzzy	ADJ
ejpam-5008	143	51	positive	positive	ADJ
ejpam-5008	143	52	implicative	implicative	ADJ
ejpam-5008	143	53	ideal	ideal	NOUN
ejpam-5008	143	54	.	.	PUNCT
ejpam-5008	144	1	if	if	SCONJ
ejpam-5008	144	2	it	it	PRON
ejpam-5008	144	3	satisfies	satisfy	VERB
ejpam-5008	144	4	the	the	DET
ejpam-5008	144	5	specified	specified	ADJ
ejpam-5008	144	6	prerequisites	prerequisite	NOUN
ejpam-5008	144	7	:	:	PUNCT
ejpam-5008	144	8	1µα(0	1µα(0	NUM
ejpam-5008	144	9	,	,	PUNCT
ejpam-5008	144	10	q	q	X
ejpam-5008	144	11	)	)	PUNCT
ejpam-5008	144	12	⊇	⊇	PROPN
ejpam-5008	144	13	µα(α	µα(α	PROPN
ejpam-5008	144	14	,	,	PUNCT
ejpam-5008	144	15	q	q	NOUN
ejpam-5008	144	16	)	)	PUNCT
ejpam-5008	144	17	(	(	PUNCT
ejpam-5008	144	18	8)	8)	NUM
ejpam-5008	144	19	2µα(α	2µα(α	NUM
ejpam-5008	144	20	∗∆	∗∆	PROPN
ejpam-5008	144	21	,	,	PUNCT
ejpam-5008	144	22	q	q	ADJ
ejpam-5008	144	23	)	)	PUNCT
ejpam-5008	144	24	⊇	⊇	PROPN
ejpam-5008	144	25	µα((α	µα((α	ADJ
ejpam-5008	144	26	∗ϖ	∗ϖ	PROPN
ejpam-5008	144	27	)	)	PUNCT
ejpam-5008	144	28	∗∆	∗∆	PROPN
ejpam-5008	144	29	,	,	PUNCT
ejpam-5008	144	30	q	q	ADJ
ejpam-5008	144	31	)	)	PUNCT
ejpam-5008	144	32	∩	∩	NOUN
ejpam-5008	144	33	µα(ϖ	µα(ϖ	PART
ejpam-5008	144	34	∗∆	∗∆	PROPN
ejpam-5008	144	35	,	,	PUNCT
ejpam-5008	144	36	q	q	NOUN
ejpam-5008	144	37	)	)	PUNCT
ejpam-5008	144	38	(	(	PUNCT
ejpam-5008	144	39	9	9	NUM
ejpam-5008	144	40	)	)	PUNCT
ejpam-5008	144	41	where	where	SCONJ
ejpam-5008	144	42	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	144	43	∈	∈	PROPN
ejpam-5008	144	44	b	b	PROPN
ejpam-5008	144	45	,	,	PUNCT
ejpam-5008	144	46	q	q	PROPN
ejpam-5008	144	47	∈	∈	PROPN
ejpam-5008	144	48	q	q	NOUN
ejpam-5008	144	49	definition	definition	NOUN
ejpam-5008	144	50	10	10	NUM
ejpam-5008	144	51	.	.	PUNCT
ejpam-5008	145	1	let	let	VERB
ejpam-5008	145	2	p	p	PRON
ejpam-5008	145	3	be	be	AUX
ejpam-5008	145	4	a	a	DET
ejpam-5008	145	5	set	set	NOUN
ejpam-5008	145	6	of	of	ADP
ejpam-5008	145	7	parameters	parameter	NOUN
ejpam-5008	145	8	.	.	PUNCT
ejpam-5008	146	1	for	for	ADP
ejpam-5008	146	2	a	a	DET
ejpam-5008	146	3	subset	subset	NOUN
ejpam-5008	146	4	a	a	PRON
ejpam-5008	146	5	of	of	ADP
ejpam-5008	146	6	p	p	NOUN
ejpam-5008	146	7	,	,	PUNCT
ejpam-5008	146	8	a	a	DET
ejpam-5008	146	9	multi	multi	ADJ
ejpam-5008	146	10	-	-	ADJ
ejpam-5008	146	11	polar	polar	ADJ
ejpam-5008	146	12	qhesitant	qhesitant	ADJ
ejpam-5008	146	13	fuzzy	fuzzy	ADJ
ejpam-5008	146	14	soft	soft	ADJ
ejpam-5008	146	15	set	set	NOUN
ejpam-5008	146	16	(	(	PUNCT
ejpam-5008	146	17	s	s	PROPN
ejpam-5008	146	18	,	,	PUNCT
ejpam-5008	146	19	a	a	PRON
ejpam-5008	146	20	)	)	PUNCT
ejpam-5008	146	21	is	be	AUX
ejpam-5008	146	22	called	call	VERB
ejpam-5008	146	23	multi	multi	ADJ
ejpam-5008	146	24	-	-	ADJ
ejpam-5008	146	25	polar	polar	ADJ
ejpam-5008	146	26	q	q	ADJ
ejpam-5008	146	27	-	-	PUNCT
ejpam-5008	146	28	hesitant	hesitant	ADJ
ejpam-5008	146	29	fuzzy	fuzzy	ADJ
ejpam-5008	146	30	soft	soft	ADJ
ejpam-5008	146	31	positive	positive	ADJ
ejpam-5008	146	32	implicative	implicative	ADJ
ejpam-5008	146	33	ideal	ideal	NOUN
ejpam-5008	146	34	over	over	ADP
ejpam-5008	146	35	b	b	PROPN
ejpam-5008	146	36	if	if	SCONJ
ejpam-5008	146	37	the	the	DET
ejpam-5008	146	38	multi	multi	ADJ
ejpam-5008	146	39	-	-	ADJ
ejpam-5008	146	40	polar	polar	ADJ
ejpam-5008	146	41	q	q	ADJ
ejpam-5008	146	42	-	-	PUNCT
ejpam-5008	146	43	hesitant	hesitant	ADJ
ejpam-5008	146	44	fuzzy	fuzzy	ADJ
ejpam-5008	146	45	set	set	NOUN
ejpam-5008	146	46	s[e	s[e	NOUN
ejpam-5008	146	47	]	]	X
ejpam-5008	146	48	=	=	SYM
ejpam-5008	146	49	{	{	PUNCT
ejpam-5008	146	50	(	(	PUNCT
ejpam-5008	146	51	α	α	NOUN
ejpam-5008	146	52	,	,	PUNCT
ejpam-5008	146	53	q	q	NOUN
ejpam-5008	146	54	)	)	PUNCT
ejpam-5008	146	55	,	,	PUNCT
ejpam-5008	146	56	µs[e	µs[e	PROPN
ejpam-5008	146	57	]	]	X
ejpam-5008	146	58	i(α	i(α	PROPN
ejpam-5008	146	59	,	,	PUNCT
ejpam-5008	146	60	q)|α	q)|α	VERB
ejpam-5008	146	61	∈	∈	PROPN
ejpam-5008	146	62	b	b	PROPN
ejpam-5008	146	63	,	,	PUNCT
ejpam-5008	147	1	q	q	PROPN
ejpam-5008	147	2	∈	∈	PROPN
ejpam-5008	147	3	q	q	X
ejpam-5008	147	4	}	}	PUNCT
ejpam-5008	147	5	on	on	ADP
ejpam-5008	147	6	b	b	PROPN
ejpam-5008	147	7	is	be	AUX
ejpam-5008	147	8	a	a	DET
ejpam-5008	147	9	multi	multi	ADJ
ejpam-5008	147	10	-	-	ADJ
ejpam-5008	147	11	polar	polar	ADJ
ejpam-5008	147	12	q	q	ADJ
ejpam-5008	147	13	-	-	PUNCT
ejpam-5008	147	14	hesitant	hesitant	ADJ
ejpam-5008	147	15	fuzzy	fuzzy	ADJ
ejpam-5008	147	16	soft	soft	ADJ
ejpam-5008	147	17	positive	positive	ADJ
ejpam-5008	147	18	implicative	implicative	ADJ
ejpam-5008	147	19	ideal	ideal	NOUN
ejpam-5008	147	20	of	of	ADP
ejpam-5008	147	21	b.	b.	PROPN
ejpam-5008	147	22	example	example	NOUN
ejpam-5008	148	1	2	2	X
ejpam-5008	148	2	.	.	PUNCT
ejpam-5008	148	3	let	let	VERB
ejpam-5008	148	4	’s	’s	NOUN
ejpam-5008	148	5	consider	consider	VERB
ejpam-5008	148	6	a	a	DET
ejpam-5008	148	7	scenario	scenario	NOUN
ejpam-5008	148	8	where	where	SCONJ
ejpam-5008	148	9	an	an	DET
ejpam-5008	148	10	individual	individual	NOUN
ejpam-5008	148	11	,	,	PUNCT
ejpam-5008	148	12	sarah	sarah	PROPN
ejpam-5008	148	13	,	,	PUNCT
ejpam-5008	148	14	has	have	AUX
ejpam-5008	148	15	received	receive	VERB
ejpam-5008	148	16	job	job	NOUN
ejpam-5008	148	17	offers	offer	NOUN
ejpam-5008	148	18	from	from	ADP
ejpam-5008	148	19	two	two	NUM
ejpam-5008	148	20	different	different	ADJ
ejpam-5008	148	21	companies	company	NOUN
ejpam-5008	148	22	,	,	PUNCT
ejpam-5008	148	23	each	each	PRON
ejpam-5008	148	24	offering	offer	VERB
ejpam-5008	148	25	her	her	PRON
ejpam-5008	148	26	three	three	NUM
ejpam-5008	148	27	different	different	ADJ
ejpam-5008	148	28	positions	position	NOUN
ejpam-5008	148	29	.	.	PUNCT
ejpam-5008	149	1	she	she	PRON
ejpam-5008	149	2	needs	need	VERB
ejpam-5008	149	3	to	to	PART
ejpam-5008	149	4	carefully	carefully	ADV
ejpam-5008	149	5	evaluate	evaluate	VERB
ejpam-5008	149	6	these	these	DET
ejpam-5008	149	7	offers	offer	NOUN
ejpam-5008	149	8	to	to	PART
ejpam-5008	149	9	make	make	VERB
ejpam-5008	149	10	the	the	DET
ejpam-5008	149	11	best	good	ADJ
ejpam-5008	149	12	career	career	NOUN
ejpam-5008	149	13	choice	choice	NOUN
ejpam-5008	149	14	.	.	PUNCT
ejpam-5008	150	1	company	company	NOUN
ejpam-5008	150	2	x	x	NOUN
ejpam-5008	150	3	:	:	PUNCT
ejpam-5008	150	4	company	company	NOUN
ejpam-5008	150	5	x	x	PUNCT
ejpam-5008	150	6	is	be	AUX
ejpam-5008	150	7	a	a	DET
ejpam-5008	150	8	well	well	ADV
ejpam-5008	150	9	-	-	PUNCT
ejpam-5008	150	10	established	establish	VERB
ejpam-5008	150	11	manufacturing	manufacturing	NOUN
ejpam-5008	150	12	company	company	NOUN
ejpam-5008	150	13	with	with	ADP
ejpam-5008	150	14	a	a	DET
ejpam-5008	150	15	reputation	reputation	NOUN
ejpam-5008	150	16	for	for	ADP
ejpam-5008	150	17	stability	stability	NOUN
ejpam-5008	150	18	and	and	CCONJ
ejpam-5008	150	19	steady	steady	ADJ
ejpam-5008	150	20	growth	growth	NOUN
ejpam-5008	150	21	.	.	PUNCT
ejpam-5008	151	1	job	job	NOUN
ejpam-5008	151	2	offer	offer	VERB
ejpam-5008	151	3	a	a	DET
ejpam-5008	151	4	(	(	PUNCT
ejpam-5008	151	5	company	company	NOUN
ejpam-5008	151	6	x	x	NOUN
ejpam-5008	151	7	):	):	PUNCT
ejpam-5008	151	8	position	position	NOUN
ejpam-5008	151	9	:	:	PUNCT
ejpam-5008	151	10	production	production	NOUN
ejpam-5008	151	11	manager	manager	NOUN
ejpam-5008	151	12	.	.	PUNCT
ejpam-5008	152	1	•	•	NUM
ejpam-5008	152	2	salary	salary	NOUN
ejpam-5008	152	3	:	:	PUNCT
ejpam-5008	152	4	competitive	competitive	ADJ
ejpam-5008	152	5	base	base	NOUN
ejpam-5008	152	6	salary	salary	NOUN
ejpam-5008	152	7	with	with	ADP
ejpam-5008	152	8	performance	performance	NOUN
ejpam-5008	152	9	-	-	PUNCT
ejpam-5008	152	10	based	base	VERB
ejpam-5008	152	11	bonuses	bonus	NOUN
ejpam-5008	152	12	.	.	PUNCT
ejpam-5008	153	1	•	•	NUM
ejpam-5008	153	2	location	location	NOUN
ejpam-5008	153	3	:	:	PUNCT
ejpam-5008	153	4	in	in	ADP
ejpam-5008	153	5	a	a	DET
ejpam-5008	153	6	small	small	ADJ
ejpam-5008	153	7	town	town	NOUN
ejpam-5008	153	8	with	with	ADP
ejpam-5008	153	9	a	a	DET
ejpam-5008	153	10	low	low	ADJ
ejpam-5008	153	11	cost	cost	NOUN
ejpam-5008	153	12	of	of	ADP
ejpam-5008	153	13	living	living	NOUN
ejpam-5008	153	14	.	.	PUNCT
ejpam-5008	154	1	•	•	NUM
ejpam-5008	154	2	work	work	NOUN
ejpam-5008	154	3	environment	environment	NOUN
ejpam-5008	154	4	:	:	PUNCT
ejpam-5008	154	5	traditional	traditional	ADJ
ejpam-5008	154	6	manufacturing	manufacturing	NOUN
ejpam-5008	154	7	facility	facility	NOUN
ejpam-5008	154	8	with	with	ADP
ejpam-5008	154	9	some	some	DET
ejpam-5008	154	10	travel	travel	NOUN
ejpam-5008	154	11	job	job	NOUN
ejpam-5008	154	12	offer	offer	NOUN
ejpam-5008	154	13	b	b	PROPN
ejpam-5008	154	14	(	(	PUNCT
ejpam-5008	154	15	company	company	NOUN
ejpam-5008	154	16	x	x	NOUN
ejpam-5008	154	17	):	):	PUNCT
ejpam-5008	154	18	position	position	NOUN
ejpam-5008	154	19	:	:	PUNCT
ejpam-5008	154	20	supply	supply	NOUN
ejpam-5008	154	21	chain	chain	NOUN
ejpam-5008	154	22	analyst	analyst	NOUN
ejpam-5008	154	23	.	.	PUNCT
ejpam-5008	155	1	•	•	NUM
ejpam-5008	155	2	salary	salary	NOUN
ejpam-5008	155	3	:	:	PUNCT
ejpam-5008	155	4	competitive	competitive	ADJ
ejpam-5008	155	5	base	base	NOUN
ejpam-5008	155	6	salary	salary	NOUN
ejpam-5008	155	7	with	with	ADP
ejpam-5008	155	8	annual	annual	ADJ
ejpam-5008	155	9	bonuses	bonus	NOUN
ejpam-5008	155	10	.	.	PUNCT
ejpam-5008	156	1	•	•	NUM
ejpam-5008	156	2	location	location	NOUN
ejpam-5008	156	3	:	:	PUNCT
ejpam-5008	156	4	in	in	ADP
ejpam-5008	156	5	a	a	DET
ejpam-5008	156	6	major	major	ADJ
ejpam-5008	156	7	city	city	NOUN
ejpam-5008	156	8	with	with	ADP
ejpam-5008	156	9	a	a	DET
ejpam-5008	156	10	higher	high	ADJ
ejpam-5008	156	11	cost	cost	NOUN
ejpam-5008	156	12	of	of	ADP
ejpam-5008	156	13	living	living	NOUN
ejpam-5008	156	14	.	.	PUNCT
ejpam-5008	157	1	•	•	NUM
ejpam-5008	157	2	work	work	NOUN
ejpam-5008	157	3	environment	environment	NOUN
ejpam-5008	157	4	:	:	PUNCT
ejpam-5008	157	5	office	office	NOUN
ejpam-5008	157	6	-	-	PUNCT
ejpam-5008	157	7	based	base	VERB
ejpam-5008	157	8	,	,	PUNCT
ejpam-5008	157	9	with	with	ADP
ejpam-5008	157	10	occasional	occasional	ADJ
ejpam-5008	157	11	site	site	NOUN
ejpam-5008	157	12	visits	visit	NOUN
ejpam-5008	157	13	.	.	PUNCT
ejpam-5008	158	1	264	264	NUM
ejpam-5008	158	2	job	job	NOUN
ejpam-5008	158	3	offer	offer	NOUN
ejpam-5008	158	4	c	c	NOUN
ejpam-5008	158	5	(	(	PUNCT
ejpam-5008	158	6	company	company	NOUN
ejpam-5008	158	7	x	x	NOUN
ejpam-5008	158	8	):	):	PUNCT
ejpam-5008	158	9	position	position	NOUN
ejpam-5008	158	10	:	:	PUNCT
ejpam-5008	158	11	research	research	NOUN
ejpam-5008	158	12	and	and	CCONJ
ejpam-5008	158	13	development	development	NOUN
ejpam-5008	158	14	scientist	scientist	NOUN
ejpam-5008	158	15	.	.	PUNCT
ejpam-5008	159	1	•	•	NUM
ejpam-5008	159	2	salary	salary	NOUN
ejpam-5008	159	3	:	:	PUNCT
ejpam-5008	159	4	competitive	competitive	ADJ
ejpam-5008	159	5	base	base	NOUN
ejpam-5008	159	6	salary	salary	NOUN
ejpam-5008	159	7	with	with	ADP
ejpam-5008	159	8	performance	performance	NOUN
ejpam-5008	159	9	-	-	PUNCT
ejpam-5008	159	10	based	base	VERB
ejpam-5008	159	11	incentives	incentive	NOUN
ejpam-5008	159	12	.	.	PUNCT
ejpam-5008	160	1	•	•	NUM
ejpam-5008	160	2	location	location	NOUN
ejpam-5008	160	3	:	:	PUNCT
ejpam-5008	160	4	in	in	ADP
ejpam-5008	160	5	a	a	DET
ejpam-5008	160	6	mid	mid	ADJ
ejpam-5008	160	7	-	-	ADJ
ejpam-5008	160	8	sized	sized	ADJ
ejpam-5008	160	9	city	city	NOUN
ejpam-5008	160	10	with	with	ADP
ejpam-5008	160	11	a	a	DET
ejpam-5008	160	12	moderate	moderate	ADJ
ejpam-5008	160	13	cost	cost	NOUN
ejpam-5008	160	14	of	of	ADP
ejpam-5008	160	15	living	living	NOUN
ejpam-5008	160	16	.	.	PUNCT
ejpam-5008	161	1	•	•	NUM
ejpam-5008	161	2	work	work	NOUN
ejpam-5008	161	3	environment	environment	NOUN
ejpam-5008	161	4	:	:	PUNCT
ejpam-5008	161	5	laboratory	laboratory	NOUN
ejpam-5008	161	6	and	and	CCONJ
ejpam-5008	161	7	research	research	NOUN
ejpam-5008	161	8	facilities	facility	NOUN
ejpam-5008	161	9	.	.	PUNCT
ejpam-5008	162	1	company	company	NOUN
ejpam-5008	162	2	y	y	PROPN
ejpam-5008	162	3	:	:	PUNCT
ejpam-5008	162	4	company	company	NOUN
ejpam-5008	162	5	y	y	PROPN
ejpam-5008	162	6	is	be	AUX
ejpam-5008	162	7	a	a	DET
ejpam-5008	162	8	fast	fast	ADV
ejpam-5008	162	9	-	-	PUNCT
ejpam-5008	162	10	growing	grow	VERB
ejpam-5008	162	11	tech	tech	NOUN
ejpam-5008	162	12	startup	startup	NOUN
ejpam-5008	162	13	known	know	VERB
ejpam-5008	162	14	for	for	ADP
ejpam-5008	162	15	its	its	PRON
ejpam-5008	162	16	innovation	innovation	NOUN
ejpam-5008	162	17	and	and	CCONJ
ejpam-5008	162	18	dynamic	dynamic	ADJ
ejpam-5008	162	19	work	work	NOUN
ejpam-5008	162	20	culture	culture	NOUN
ejpam-5008	162	21	.	.	PUNCT
ejpam-5008	163	1	job	job	NOUN
ejpam-5008	163	2	offer	offer	NOUN
ejpam-5008	163	3	d	d	PROPN
ejpam-5008	163	4	(	(	PUNCT
ejpam-5008	163	5	company	company	NOUN
ejpam-5008	163	6	y	y	NOUN
ejpam-5008	163	7	):	):	PUNCT
ejpam-5008	163	8	position	position	NOUN
ejpam-5008	163	9	:	:	PUNCT
ejpam-5008	163	10	software	software	NOUN
ejpam-5008	163	11	engineer	engineer	NOUN
ejpam-5008	163	12	.	.	PUNCT
ejpam-5008	164	1	•	•	NUM
ejpam-5008	164	2	salary	salary	NOUN
ejpam-5008	164	3	:	:	PUNCT
ejpam-5008	164	4	competitive	competitive	ADJ
ejpam-5008	164	5	base	base	NOUN
ejpam-5008	164	6	salary	salary	NOUN
ejpam-5008	164	7	with	with	ADP
ejpam-5008	164	8	stock	stock	NOUN
ejpam-5008	164	9	options	option	NOUN
ejpam-5008	164	10	.	.	PUNCT
ejpam-5008	165	1	•	•	NUM
ejpam-5008	165	2	location	location	NOUN
ejpam-5008	165	3	:	:	PUNCT
ejpam-5008	165	4	in	in	ADP
ejpam-5008	165	5	a	a	DET
ejpam-5008	165	6	tech	tech	NOUN
ejpam-5008	165	7	hub	hub	NOUN
ejpam-5008	165	8	city	city	NOUN
ejpam-5008	165	9	with	with	ADP
ejpam-5008	165	10	a	a	DET
ejpam-5008	165	11	moderate	moderate	ADJ
ejpam-5008	165	12	cost	cost	NOUN
ejpam-5008	165	13	of	of	ADP
ejpam-5008	165	14	living	living	NOUN
ejpam-5008	165	15	.	.	PUNCT
ejpam-5008	166	1	•	•	NUM
ejpam-5008	166	2	work	work	NOUN
ejpam-5008	166	3	environment	environment	NOUN
ejpam-5008	166	4	:	:	PUNCT
ejpam-5008	166	5	dynamic	dynamic	ADJ
ejpam-5008	166	6	and	and	CCONJ
ejpam-5008	166	7	collaborative	collaborative	ADJ
ejpam-5008	166	8	,	,	PUNCT
ejpam-5008	166	9	with	with	ADP
ejpam-5008	166	10	remote	remote	ADJ
ejpam-5008	166	11	work	work	NOUN
ejpam-5008	166	12	options	option	NOUN
ejpam-5008	166	13	.	.	PUNCT
ejpam-5008	167	1	job	job	NOUN
ejpam-5008	167	2	offer	offer	NOUN
ejpam-5008	167	3	e	e	X
ejpam-5008	167	4	(	(	PUNCT
ejpam-5008	167	5	company	company	NOUN
ejpam-5008	167	6	y	y	NOUN
ejpam-5008	167	7	):	):	PUNCT
ejpam-5008	167	8	position	position	NOUN
ejpam-5008	167	9	:	:	PUNCT
ejpam-5008	167	10	marketing	marketing	NOUN
ejpam-5008	167	11	specialist	specialist	NOUN
ejpam-5008	167	12	.	.	PUNCT
ejpam-5008	168	1	•	•	NUM
ejpam-5008	168	2	salary	salary	NOUN
ejpam-5008	168	3	:	:	PUNCT
ejpam-5008	168	4	competitive	competitive	ADJ
ejpam-5008	168	5	base	base	NOUN
ejpam-5008	168	6	salary	salary	NOUN
ejpam-5008	168	7	with	with	ADP
ejpam-5008	168	8	performance	performance	NOUN
ejpam-5008	168	9	-	-	PUNCT
ejpam-5008	168	10	based	base	VERB
ejpam-5008	168	11	bonuses	bonus	NOUN
ejpam-5008	168	12	.	.	PUNCT
ejpam-5008	169	1	•	•	NUM
ejpam-5008	169	2	location	location	NOUN
ejpam-5008	169	3	:	:	PUNCT
ejpam-5008	169	4	in	in	ADP
ejpam-5008	169	5	a	a	DET
ejpam-5008	169	6	tech	tech	NOUN
ejpam-5008	169	7	hub	hub	NOUN
ejpam-5008	169	8	city	city	NOUN
ejpam-5008	169	9	with	with	ADP
ejpam-5008	169	10	a	a	DET
ejpam-5008	169	11	moderate	moderate	ADJ
ejpam-5008	169	12	cost	cost	NOUN
ejpam-5008	169	13	of	of	ADP
ejpam-5008	169	14	living	living	NOUN
ejpam-5008	169	15	.	.	PUNCT
ejpam-5008	170	1	•	•	NUM
ejpam-5008	170	2	work	work	NOUN
ejpam-5008	170	3	environment	environment	NOUN
ejpam-5008	170	4	:	:	PUNCT
ejpam-5008	170	5	creative	creative	ADJ
ejpam-5008	170	6	marketing	marketing	NOUN
ejpam-5008	170	7	department	department	NOUN
ejpam-5008	170	8	with	with	ADP
ejpam-5008	170	9	flexible	flexible	ADJ
ejpam-5008	170	10	hours	hour	NOUN
ejpam-5008	170	11	.	.	PUNCT
ejpam-5008	171	1	job	job	NOUN
ejpam-5008	171	2	offer	offer	NOUN
ejpam-5008	171	3	f	f	PROPN
ejpam-5008	171	4	(	(	PUNCT
ejpam-5008	171	5	company	company	NOUN
ejpam-5008	171	6	y	y	NOUN
ejpam-5008	171	7	):	):	PUNCT
ejpam-5008	171	8	position	position	NOUN
ejpam-5008	171	9	:	:	PUNCT
ejpam-5008	171	10	data	data	NOUN
ejpam-5008	171	11	analyst	analyst	NOUN
ejpam-5008	171	12	.	.	PUNCT
ejpam-5008	172	1	•	•	NUM
ejpam-5008	172	2	salary	salary	NOUN
ejpam-5008	172	3	:	:	PUNCT
ejpam-5008	172	4	competitive	competitive	ADJ
ejpam-5008	172	5	base	base	NOUN
ejpam-5008	172	6	salary	salary	NOUN
ejpam-5008	172	7	with	with	ADP
ejpam-5008	172	8	stock	stock	NOUN
ejpam-5008	172	9	options	option	NOUN
ejpam-5008	172	10	.	.	PUNCT
ejpam-5008	173	1	•	•	NUM
ejpam-5008	173	2	location	location	NOUN
ejpam-5008	173	3	:	:	PUNCT
ejpam-5008	173	4	in	in	ADP
ejpam-5008	173	5	a	a	DET
ejpam-5008	173	6	tech	tech	NOUN
ejpam-5008	173	7	hub	hub	NOUN
ejpam-5008	173	8	city	city	NOUN
ejpam-5008	173	9	with	with	ADP
ejpam-5008	173	10	a	a	DET
ejpam-5008	173	11	moderate	moderate	ADJ
ejpam-5008	173	12	cost	cost	NOUN
ejpam-5008	173	13	of	of	ADP
ejpam-5008	173	14	living	living	NOUN
ejpam-5008	173	15	.	.	PUNCT
ejpam-5008	174	1	•	•	NUM
ejpam-5008	174	2	work	work	NOUN
ejpam-5008	174	3	environment	environment	NOUN
ejpam-5008	174	4	:	:	PUNCT
ejpam-5008	174	5	data	datum	NOUN
ejpam-5008	174	6	analytics	analytic	NOUN
ejpam-5008	174	7	team	team	NOUN
ejpam-5008	174	8	with	with	ADP
ejpam-5008	174	9	a	a	DET
ejpam-5008	174	10	strong	strong	ADJ
ejpam-5008	174	11	focus	focus	NOUN
ejpam-5008	174	12	on	on	ADP
ejpam-5008	174	13	innovation	innovation	NOUN
ejpam-5008	174	14	.	.	PUNCT
ejpam-5008	175	1	let	let	VERB
ejpam-5008	175	2	b	b	NOUN
ejpam-5008	175	3	=	=	SYM
ejpam-5008	175	4	{	{	PUNCT
ejpam-5008	175	5	n1	n1	PROPN
ejpam-5008	175	6	,	,	PUNCT
ejpam-5008	175	7	n2	n2	NOUN
ejpam-5008	175	8	,	,	PUNCT
ejpam-5008	175	9	n3	n3	NOUN
ejpam-5008	175	10	}	}	PUNCT
ejpam-5008	175	11	be	be	AUX
ejpam-5008	175	12	a	a	DET
ejpam-5008	175	13	bck	bck	NOUN
ejpam-5008	175	14	-	-	PUNCT
ejpam-5008	175	15	algebra	algebra	NOUN
ejpam-5008	175	16	set	set	NOUN
ejpam-5008	175	17	where	where	SCONJ
ejpam-5008	175	18	n1	n1	PROPN
ejpam-5008	175	19	is	be	AUX
ejpam-5008	175	20	the	the	DET
ejpam-5008	175	21	fist	fist	ADJ
ejpam-5008	175	22	job	job	NOUN
ejpam-5008	175	23	offer	offer	NOUN
ejpam-5008	175	24	,	,	PUNCT
ejpam-5008	175	25	n2	n2	PROPN
ejpam-5008	175	26	is	be	AUX
ejpam-5008	175	27	the	the	DET
ejpam-5008	175	28	second	second	ADJ
ejpam-5008	175	29	job	job	NOUN
ejpam-5008	175	30	offer	offer	NOUN
ejpam-5008	175	31	and	and	CCONJ
ejpam-5008	175	32	n3	n3	NOUN
ejpam-5008	175	33	is	be	AUX
ejpam-5008	175	34	the	the	DET
ejpam-5008	175	35	third	third	ADJ
ejpam-5008	175	36	job	job	NOUN
ejpam-5008	175	37	offer	offer	NOUN
ejpam-5008	175	38	.	.	PUNCT
ejpam-5008	176	1	consider	consider	VERB
ejpam-5008	176	2	the	the	DET
ejpam-5008	176	3	operation	operation	NOUN
ejpam-5008	176	4	*	*	PUNCT
ejpam-5008	176	5	on	on	ADP
ejpam-5008	176	6	b	b	X
ejpam-5008	176	7	define	define	NOUN
ejpam-5008	176	8	in	in	ADP
ejpam-5008	176	9	the	the	DET
ejpam-5008	176	10	next	next	ADJ
ejpam-5008	176	11	table	table	NOUN
ejpam-5008	176	12	*	*	PUNCT
ejpam-5008	176	13	n1	n1	PROPN
ejpam-5008	176	14	n2	n2	PROPN
ejpam-5008	176	15	n3	n3	PROPN
ejpam-5008	176	16	n1	n1	PROPN
ejpam-5008	176	17	n1	n1	PROPN
ejpam-5008	176	18	n1	n1	PROPN
ejpam-5008	176	19	n1	n1	PROPN
ejpam-5008	176	20	n2	n2	ADJ
ejpam-5008	176	21	n2	n2	PROPN
ejpam-5008	176	22	n1	n1	PROPN
ejpam-5008	176	23	n2	n2	PROPN
ejpam-5008	176	24	n3	n3	PROPN
ejpam-5008	176	25	n3	n3	PROPN
ejpam-5008	176	26	n3	n3	PROPN
ejpam-5008	176	27	n1	n1	PROPN
ejpam-5008	176	28	then	then	ADV
ejpam-5008	176	29	(	(	PUNCT
ejpam-5008	176	30	b	b	X
ejpam-5008	176	31	,	,	PUNCT
ejpam-5008	176	32	∗	∗	NOUN
ejpam-5008	176	33	,	,	PUNCT
ejpam-5008	176	34	n1	n1	NOUN
ejpam-5008	176	35	)	)	PUNCT
ejpam-5008	176	36	is	be	AUX
ejpam-5008	176	37	bck	bck	NOUN
ejpam-5008	176	38	-	-	PUNCT
ejpam-5008	176	39	algebra	algebra	NOUN
ejpam-5008	176	40	.	.	PUNCT
ejpam-5008	177	1	consider	consider	VERB
ejpam-5008	177	2	the	the	DET
ejpam-5008	177	3	set	set	NOUN
ejpam-5008	177	4	q	q	PROPN
ejpam-5008	177	5	=	=	PUNCT
ejpam-5008	177	6	{	{	PUNCT
ejpam-5008	177	7	ς	ς	PROPN
ejpam-5008	177	8	,	,	PUNCT
ejpam-5008	177	9	ι	ι	X
ejpam-5008	177	10	}	}	PUNCT
ejpam-5008	177	11	where	where	SCONJ
ejpam-5008	177	12	ς	ς	PROPN
ejpam-5008	177	13	is	be	AUX
ejpam-5008	177	14	company	company	NOUN
ejpam-5008	177	15	x	x	PUNCT
ejpam-5008	177	16	and	and	CCONJ
ejpam-5008	177	17	ι	ι	PROPN
ejpam-5008	177	18	is	be	AUX
ejpam-5008	177	19	company	company	NOUN
ejpam-5008	177	20	y	y	PROPN
ejpam-5008	177	21	,	,	PUNCT
ejpam-5008	177	22	the	the	DET
ejpam-5008	177	23	parameters	parameter	NOUN
ejpam-5008	177	24	set	set	VERB
ejpam-5008	177	25	265	265	NUM
ejpam-5008	177	26	s	s	PART
ejpam-5008	177	27	=	=	PUNCT
ejpam-5008	177	28	{	{	PUNCT
ejpam-5008	177	29	e1	e1	PROPN
ejpam-5008	177	30	,	,	PUNCT
ejpam-5008	177	31	e2	e2	PROPN
ejpam-5008	177	32	,	,	PUNCT
ejpam-5008	177	33	e3	e3	NOUN
ejpam-5008	177	34	}	}	PUNCT
ejpam-5008	177	35	where	where	SCONJ
ejpam-5008	177	36	e1	e1	NOUN
ejpam-5008	177	37	is	be	AUX
ejpam-5008	177	38	the	the	DET
ejpam-5008	177	39	salary	salary	NOUN
ejpam-5008	177	40	,	,	PUNCT
ejpam-5008	177	41	e2	e2	PROPN
ejpam-5008	177	42	is	be	AUX
ejpam-5008	177	43	the	the	DET
ejpam-5008	177	44	location	location	NOUN
ejpam-5008	177	45	and	and	CCONJ
ejpam-5008	177	46	e3	e3	NOUN
ejpam-5008	177	47	is	be	AUX
ejpam-5008	177	48	the	the	DET
ejpam-5008	177	49	work	work	NOUN
ejpam-5008	177	50	environment	environment	NOUN
ejpam-5008	177	51	.	.	PUNCT
ejpam-5008	178	1	let	let	VERB
ejpam-5008	178	2	m=2	m=2	X
ejpam-5008	178	3	,	,	PUNCT
ejpam-5008	178	4	then	then	ADV
ejpam-5008	178	5	:	:	PUNCT
ejpam-5008	178	6	*	*	PUNCT
ejpam-5008	178	7	(	(	PUNCT
ejpam-5008	178	8	n1	n1	NOUN
ejpam-5008	178	9	,	,	PUNCT
ejpam-5008	178	10	ς	ς	NOUN
ejpam-5008	178	11	)	)	PUNCT
ejpam-5008	178	12	(	(	PUNCT
ejpam-5008	178	13	n1	n1	NOUN
ejpam-5008	178	14	,	,	PUNCT
ejpam-5008	178	15	ι	ι	PROPN
ejpam-5008	178	16	)	)	PUNCT
ejpam-5008	178	17	(	(	PUNCT
ejpam-5008	178	18	n2	n2	ADJ
ejpam-5008	178	19	,	,	PUNCT
ejpam-5008	178	20	ς	ς	NOUN
ejpam-5008	178	21	)	)	PUNCT
ejpam-5008	178	22	e1	e1	PROPN
ejpam-5008	178	23	{	{	PUNCT
ejpam-5008	178	24	(	(	PUNCT
ejpam-5008	178	25	0.9	0.9	NUM
ejpam-5008	178	26	)	)	PUNCT
ejpam-5008	178	27	,	,	PUNCT
ejpam-5008	178	28	(	(	PUNCT
ejpam-5008	178	29	0.8	0.8	NUM
ejpam-5008	178	30	,	,	PUNCT
ejpam-5008	178	31	0.9	0.9	NUM
ejpam-5008	178	32	)	)	PUNCT
ejpam-5008	178	33	}	}	PUNCT
ejpam-5008	178	34	{	{	PUNCT
ejpam-5008	178	35	(	(	PUNCT
ejpam-5008	178	36	0.9	0.9	NUM
ejpam-5008	178	37	)	)	PUNCT
ejpam-5008	178	38	,	,	PUNCT
ejpam-5008	178	39	(	(	PUNCT
ejpam-5008	178	40	0.8	0.8	NUM
ejpam-5008	178	41	,	,	PUNCT
ejpam-5008	178	42	0.8	0.8	NUM
ejpam-5008	178	43	,	,	PUNCT
ejpam-5008	178	44	0.9	0.9	NUM
ejpam-5008	178	45	)	)	PUNCT
ejpam-5008	178	46	}	}	PUNCT
ejpam-5008	178	47	{	{	PUNCT
ejpam-5008	178	48	(	(	PUNCT
ejpam-5008	178	49	0.7	0.7	NUM
ejpam-5008	178	50	,	,	PUNCT
ejpam-5008	178	51	0.5	0.5	NUM
ejpam-5008	178	52	)	)	PUNCT
ejpam-5008	178	53	,	,	PUNCT
ejpam-5008	178	54	(	(	PUNCT
ejpam-5008	178	55	0.8	0.8	NUM
ejpam-5008	178	56	,	,	PUNCT
ejpam-5008	178	57	0.7	0.7	NUM
ejpam-5008	178	58	)	)	PUNCT
ejpam-5008	178	59	}	}	PUNCT
ejpam-5008	178	60	e2	e2	NOUN
ejpam-5008	178	61	{	{	PUNCT
ejpam-5008	178	62	(	(	PUNCT
ejpam-5008	178	63	0.8	0.8	NUM
ejpam-5008	178	64	,	,	PUNCT
ejpam-5008	178	65	0.9	0.9	NUM
ejpam-5008	178	66	)	)	PUNCT
ejpam-5008	178	67	,	,	PUNCT
ejpam-5008	178	68	(	(	PUNCT
ejpam-5008	178	69	0.8	0.8	NUM
ejpam-5008	178	70	)	)	PUNCT
ejpam-5008	178	71	}	}	PUNCT
ejpam-5008	178	72	{	{	PUNCT
ejpam-5008	178	73	(	(	PUNCT
ejpam-5008	178	74	0.9	0.9	NUM
ejpam-5008	178	75	,	,	PUNCT
ejpam-5008	178	76	0.8	0.8	NUM
ejpam-5008	178	77	,	,	PUNCT
ejpam-5008	178	78	0.9	0.9	NUM
ejpam-5008	178	79	)	)	PUNCT
ejpam-5008	178	80	,	,	PUNCT
ejpam-5008	178	81	(	(	PUNCT
ejpam-5008	178	82	0.9	0.9	NUM
ejpam-5008	178	83	,	,	PUNCT
ejpam-5008	178	84	0.9	0.9	NUM
ejpam-5008	178	85	)	)	PUNCT
ejpam-5008	178	86	}	}	PUNCT
ejpam-5008	178	87	{	{	PUNCT
ejpam-5008	178	88	(	(	PUNCT
ejpam-5008	178	89	0.8	0.8	NUM
ejpam-5008	178	90	,	,	PUNCT
ejpam-5008	178	91	0.6	0.6	NUM
ejpam-5008	178	92	)	)	PUNCT
ejpam-5008	178	93	,	,	PUNCT
ejpam-5008	178	94	(	(	PUNCT
ejpam-5008	178	95	0.5	0.5	NUM
ejpam-5008	178	96	)	)	PUNCT
ejpam-5008	178	97	}	}	PUNCT
ejpam-5008	178	98	e3	e3	VERB
ejpam-5008	178	99	{	{	PUNCT
ejpam-5008	178	100	(	(	PUNCT
ejpam-5008	178	101	0.8	0.8	NUM
ejpam-5008	178	102	,	,	PUNCT
ejpam-5008	178	103	0.9	0.9	NUM
ejpam-5008	178	104	)	)	PUNCT
ejpam-5008	178	105	,	,	PUNCT
ejpam-5008	178	106	(	(	PUNCT
ejpam-5008	178	107	0.8	0.8	NUM
ejpam-5008	178	108	)	)	PUNCT
ejpam-5008	178	109	}	}	PUNCT
ejpam-5008	178	110	{	{	PUNCT
ejpam-5008	178	111	(	(	PUNCT
ejpam-5008	178	112	0.9	0.9	NUM
ejpam-5008	178	113	)	)	PUNCT
ejpam-5008	178	114	,	,	PUNCT
ejpam-5008	178	115	(	(	PUNCT
ejpam-5008	178	116	0.8	0.8	NUM
ejpam-5008	178	117	)	)	PUNCT
ejpam-5008	178	118	}	}	PUNCT
ejpam-5008	178	119	{	{	PUNCT
ejpam-5008	178	120	(	(	PUNCT
ejpam-5008	178	121	0.7)(0.7	0.7)(0.7	NOUN
ejpam-5008	178	122	,	,	PUNCT
ejpam-5008	178	123	0.6	0.6	NUM
ejpam-5008	178	124	,	,	PUNCT
ejpam-5008	178	125	0.7	0.7	NUM
ejpam-5008	178	126	)	)	PUNCT
ejpam-5008	178	127	}	}	PUNCT
ejpam-5008	178	128	*	*	PUNCT
ejpam-5008	178	129	(	(	PUNCT
ejpam-5008	178	130	n2	n2	ADJ
ejpam-5008	178	131	,	,	PUNCT
ejpam-5008	178	132	ι	ι	PROPN
ejpam-5008	178	133	)	)	PUNCT
ejpam-5008	178	134	(	(	PUNCT
ejpam-5008	178	135	n3	n3	PROPN
ejpam-5008	178	136	,	,	PUNCT
ejpam-5008	178	137	ς	ς	PROPN
ejpam-5008	178	138	)	)	PUNCT
ejpam-5008	178	139	(	(	PUNCT
ejpam-5008	178	140	n3	n3	PROPN
ejpam-5008	178	141	,	,	PUNCT
ejpam-5008	178	142	ι	ι	PROPN
ejpam-5008	178	143	)	)	PUNCT
ejpam-5008	178	144	e1	e1	PROPN
ejpam-5008	178	145	{	{	PUNCT
ejpam-5008	178	146	(	(	PUNCT
ejpam-5008	178	147	0.8	0.8	NUM
ejpam-5008	178	148	,	,	PUNCT
ejpam-5008	178	149	0.8	0.8	NUM
ejpam-5008	178	150	)	)	PUNCT
ejpam-5008	178	151	,	,	PUNCT
ejpam-5008	178	152	(	(	PUNCT
ejpam-5008	178	153	0.5	0.5	NUM
ejpam-5008	178	154	,	,	PUNCT
ejpam-5008	178	155	0.6	0.6	NUM
ejpam-5008	178	156	,	,	PUNCT
ejpam-5008	178	157	0.7	0.7	NUM
ejpam-5008	178	158	)	)	PUNCT
ejpam-5008	178	159	}	}	PUNCT
ejpam-5008	178	160	{	{	PUNCT
ejpam-5008	178	161	(	(	PUNCT
ejpam-5008	178	162	0.4	0.4	NUM
ejpam-5008	178	163	,	,	PUNCT
ejpam-5008	178	164	0.3	0.3	NUM
ejpam-5008	178	165	)	)	PUNCT
ejpam-5008	178	166	,	,	PUNCT
ejpam-5008	178	167	(	(	PUNCT
ejpam-5008	178	168	0.5	0.5	NUM
ejpam-5008	178	169	,	,	PUNCT
ejpam-5008	178	170	0.2	0.2	NUM
ejpam-5008	178	171	)	)	PUNCT
ejpam-5008	178	172	}	}	PUNCT
ejpam-5008	178	173	{	{	PUNCT
ejpam-5008	178	174	(	(	PUNCT
ejpam-5008	178	175	0.7	0.7	NUM
ejpam-5008	178	176	,	,	PUNCT
ejpam-5008	178	177	0.6	0.6	NUM
ejpam-5008	178	178	,	,	PUNCT
ejpam-5008	178	179	0.5	0.5	NUM
ejpam-5008	178	180	)	)	PUNCT
ejpam-5008	178	181	,	,	PUNCT
ejpam-5008	178	182	(	(	PUNCT
ejpam-5008	178	183	0.3	0.3	NUM
ejpam-5008	178	184	,	,	PUNCT
ejpam-5008	178	185	0.2	0.2	NUM
ejpam-5008	178	186	)	)	PUNCT
ejpam-5008	178	187	}	}	PUNCT
ejpam-5008	178	188	e2	e2	NOUN
ejpam-5008	178	189	{	{	PUNCT
ejpam-5008	178	190	[	[	X
ejpam-5008	178	191	0.7	0.7	NUM
ejpam-5008	178	192	]	]	PUNCT
ejpam-5008	178	193	,	,	PUNCT
ejpam-5008	178	194	(	(	PUNCT
ejpam-5008	178	195	0.6	0.6	NUM
ejpam-5008	178	196	,	,	PUNCT
ejpam-5008	178	197	0.5	0.5	NUM
ejpam-5008	178	198	,	,	PUNCT
ejpam-5008	178	199	0.4	0.4	NUM
ejpam-5008	178	200	)	)	PUNCT
ejpam-5008	178	201	}	}	PUNCT
ejpam-5008	178	202	{	{	PUNCT
ejpam-5008	178	203	(	(	PUNCT
ejpam-5008	178	204	0.1	0.1	NUM
ejpam-5008	178	205	,	,	PUNCT
ejpam-5008	178	206	0.3	0.3	NUM
ejpam-5008	178	207	)	)	PUNCT
ejpam-5008	178	208	,	,	PUNCT
ejpam-5008	178	209	(	(	PUNCT
ejpam-5008	178	210	0.4	0.4	NUM
ejpam-5008	178	211	,	,	PUNCT
ejpam-5008	178	212	0.3	0.3	NUM
ejpam-5008	178	213	)	)	PUNCT
ejpam-5008	178	214	}	}	PUNCT
ejpam-5008	178	215	{	{	PUNCT
ejpam-5008	178	216	(	(	PUNCT
ejpam-5008	178	217	0.6	0.6	NUM
ejpam-5008	178	218	,	,	PUNCT
ejpam-5008	178	219	0.3	0.3	NUM
ejpam-5008	178	220	)	)	PUNCT
ejpam-5008	178	221	,	,	PUNCT
ejpam-5008	178	222	(	(	PUNCT
ejpam-5008	178	223	0.1	0.1	NUM
ejpam-5008	178	224	,	,	PUNCT
ejpam-5008	178	225	0.2	0.2	NUM
ejpam-5008	178	226	)	)	PUNCT
ejpam-5008	178	227	}	}	PUNCT
ejpam-5008	178	228	e3	e3	VERB
ejpam-5008	178	229	{	{	PUNCT
ejpam-5008	178	230	(	(	PUNCT
ejpam-5008	178	231	0.8	0.8	NUM
ejpam-5008	178	232	,	,	PUNCT
ejpam-5008	178	233	0.7	0.7	NUM
ejpam-5008	178	234	,	,	PUNCT
ejpam-5008	178	235	0.8	0.8	NUM
ejpam-5008	178	236	)	)	PUNCT
ejpam-5008	178	237	,	,	PUNCT
ejpam-5008	178	238	(	(	PUNCT
ejpam-5008	178	239	0.7	0.7	NUM
ejpam-5008	178	240	,	,	PUNCT
ejpam-5008	178	241	0.6	0.6	NUM
ejpam-5008	178	242	)	)	PUNCT
ejpam-5008	178	243	}	}	PUNCT
ejpam-5008	178	244	{	{	PUNCT
ejpam-5008	178	245	(	(	PUNCT
ejpam-5008	178	246	0.1	0.1	NUM
ejpam-5008	178	247	,	,	PUNCT
ejpam-5008	178	248	0.2	0.2	NUM
ejpam-5008	178	249	)	)	PUNCT
ejpam-5008	178	250	,	,	PUNCT
ejpam-5008	178	251	(	(	PUNCT
ejpam-5008	178	252	0.5	0.5	NUM
ejpam-5008	178	253	,	,	PUNCT
ejpam-5008	178	254	0.4	0.4	NUM
ejpam-5008	178	255	)	)	PUNCT
ejpam-5008	178	256	}	}	PUNCT
ejpam-5008	178	257	{	{	PUNCT
ejpam-5008	178	258	(	(	PUNCT
ejpam-5008	178	259	0.2	0.2	NUM
ejpam-5008	178	260	,	,	PUNCT
ejpam-5008	178	261	0.1	0.1	NUM
ejpam-5008	178	262	)	)	PUNCT
ejpam-5008	178	263	,	,	PUNCT
ejpam-5008	178	264	(	(	PUNCT
ejpam-5008	178	265	0.2	0.2	NUM
ejpam-5008	178	266	)	)	PUNCT
ejpam-5008	178	267	}	}	PUNCT
ejpam-5008	178	268	after	after	ADP
ejpam-5008	178	269	thoughtful	thoughtful	ADJ
ejpam-5008	178	270	consideration	consideration	NOUN
ejpam-5008	178	271	and	and	CCONJ
ejpam-5008	178	272	discussions	discussion	NOUN
ejpam-5008	178	273	with	with	ADP
ejpam-5008	178	274	mentors	mentor	NOUN
ejpam-5008	178	275	and	and	CCONJ
ejpam-5008	178	276	friends	friend	NOUN
ejpam-5008	178	277	,	,	PUNCT
ejpam-5008	178	278	sarah	sarah	PROPN
ejpam-5008	178	279	decides	decide	VERB
ejpam-5008	178	280	to	to	PART
ejpam-5008	178	281	accept	accept	VERB
ejpam-5008	178	282	job	job	NOUN
ejpam-5008	178	283	offer	offer	NOUN
ejpam-5008	178	284	a	a	DET
ejpam-5008	178	285	(	(	PUNCT
ejpam-5008	178	286	production	production	NOUN
ejpam-5008	178	287	manager	manager	NOUN
ejpam-5008	178	288	.	.	PUNCT
ejpam-5008	178	289	)	)	PUNCT
ejpam-5008	179	1	at	at	ADP
ejpam-5008	179	2	company	company	NOUN
ejpam-5008	179	3	x.	x.	NOUN
ejpam-5008	179	4	she	she	PRON
ejpam-5008	179	5	values	value	VERB
ejpam-5008	179	6	the	the	DET
ejpam-5008	179	7	dynamic	dynamic	ADJ
ejpam-5008	179	8	work	work	NOUN
ejpam-5008	179	9	culture	culture	NOUN
ejpam-5008	179	10	and	and	CCONJ
ejpam-5008	179	11	opportunities	opportunity	NOUN
ejpam-5008	179	12	for	for	ADP
ejpam-5008	179	13	personal	personal	ADJ
ejpam-5008	179	14	and	and	CCONJ
ejpam-5008	179	15	professional	professional	ADJ
ejpam-5008	179	16	growth	growth	NOUN
ejpam-5008	179	17	.	.	PUNCT
ejpam-5008	180	1	the	the	DET
ejpam-5008	180	2	combination	combination	NOUN
ejpam-5008	180	3	of	of	ADP
ejpam-5008	180	4	a	a	DET
ejpam-5008	180	5	competitive	competitive	ADJ
ejpam-5008	180	6	salary	salary	NOUN
ejpam-5008	180	7	,	,	PUNCT
ejpam-5008	180	8	performance	performance	NOUN
ejpam-5008	180	9	-	-	PUNCT
ejpam-5008	180	10	based	base	VERB
ejpam-5008	180	11	bonuses	bonus	NOUN
ejpam-5008	180	12	,	,	PUNCT
ejpam-5008	180	13	and	and	CCONJ
ejpam-5008	180	14	flexibility	flexibility	NOUN
ejpam-5008	180	15	aligns	align	VERB
ejpam-5008	180	16	well	well	ADV
ejpam-5008	180	17	with	with	ADP
ejpam-5008	180	18	her	her	PRON
ejpam-5008	180	19	longterm	longterm	NOUN
ejpam-5008	180	20	career	career	NOUN
ejpam-5008	180	21	aspirations	aspiration	NOUN
ejpam-5008	180	22	and	and	CCONJ
ejpam-5008	180	23	lifestyle	lifestyle	NOUN
ejpam-5008	180	24	preferences	preference	NOUN
ejpam-5008	180	25	.	.	PUNCT
ejpam-5008	181	1	the	the	DET
ejpam-5008	181	2	previos	previos	PROPN
ejpam-5008	181	3	table	table	NOUN
ejpam-5008	181	4	show	show	VERB
ejpam-5008	181	5	that	that	SCONJ
ejpam-5008	181	6	it	it	PRON
ejpam-5008	181	7	’s	’	VERB
ejpam-5008	181	8	2	2	NUM
ejpam-5008	181	9	-	-	NUM
ejpam-5008	181	10	polar	polar	ADJ
ejpam-5008	181	11	q	q	ADJ
ejpam-5008	181	12	-	-	PUNCT
ejpam-5008	181	13	hesitant	hesitant	ADJ
ejpam-5008	181	14	fuzzy	fuzzy	ADJ
ejpam-5008	181	15	soft	soft	ADJ
ejpam-5008	181	16	positive	positive	ADJ
ejpam-5008	181	17	implicative	implicative	ADJ
ejpam-5008	181	18	ideal	ideal	NOUN
ejpam-5008	181	19	over	over	ADP
ejpam-5008	181	20	b.	b.	PROPN
ejpam-5008	181	21	proposition	proposition	PROPN
ejpam-5008	181	22	3	3	X
ejpam-5008	181	23	.	.	PUNCT
ejpam-5008	182	1	in	in	ADP
ejpam-5008	182	2	bck	bck	NOUN
ejpam-5008	182	3	-	-	PUNCT
ejpam-5008	182	4	algebra	algebra	NOUN
ejpam-5008	182	5	b	b	NOUN
ejpam-5008	182	6	every	every	DET
ejpam-5008	182	7	multi	multi	ADJ
ejpam-5008	182	8	-	-	ADJ
ejpam-5008	182	9	polar	polar	ADJ
ejpam-5008	182	10	q	q	ADJ
ejpam-5008	182	11	-	-	PUNCT
ejpam-5008	182	12	hesitant	hesitant	ADJ
ejpam-5008	182	13	fuzzy	fuzzy	ADJ
ejpam-5008	182	14	soft	soft	ADJ
ejpam-5008	182	15	positive	positive	ADJ
ejpam-5008	182	16	implicative	implicative	ADJ
ejpam-5008	182	17	ideal	ideal	NOUN
ejpam-5008	182	18	is	be	AUX
ejpam-5008	182	19	multi	multi	ADJ
ejpam-5008	182	20	-	-	ADJ
ejpam-5008	182	21	polar	polar	ADJ
ejpam-5008	182	22	q	q	ADJ
ejpam-5008	182	23	-	-	PUNCT
ejpam-5008	182	24	hesitant	hesitant	ADJ
ejpam-5008	182	25	fuzzy	fuzzy	ADJ
ejpam-5008	182	26	soft	soft	ADJ
ejpam-5008	182	27	ideal	ideal	NOUN
ejpam-5008	182	28	.	.	PUNCT
ejpam-5008	183	1	proof	proof	NOUN
ejpam-5008	183	2	.	.	PUNCT
ejpam-5008	184	1	let	let	AUX
ejpam-5008	184	2	(	(	PUNCT
ejpam-5008	184	3	s	s	X
ejpam-5008	184	4	,	,	PUNCT
ejpam-5008	184	5	a	a	PRON
ejpam-5008	184	6	)	)	PUNCT
ejpam-5008	184	7	be	be	AUX
ejpam-5008	184	8	a	a	DET
ejpam-5008	184	9	multi	multi	ADJ
ejpam-5008	184	10	-	-	ADJ
ejpam-5008	184	11	polar	polar	ADJ
ejpam-5008	184	12	q	q	ADJ
ejpam-5008	184	13	-	-	PUNCT
ejpam-5008	184	14	hesitant	hesitant	ADJ
ejpam-5008	184	15	fuzzy	fuzzy	ADJ
ejpam-5008	184	16	soft	soft	ADJ
ejpam-5008	184	17	positive	positive	ADJ
ejpam-5008	184	18	implicative	implicative	ADJ
ejpam-5008	184	19	ideal	ideal	NOUN
ejpam-5008	184	20	of	of	ADP
ejpam-5008	184	21	bck	bck	PROPN
ejpam-5008	184	22	-	-	PUNCT
ejpam-5008	184	23	algebra	algebra	NOUN
ejpam-5008	184	24	b.	b.	NOUN
ejpam-5008	185	1	so	so	ADV
ejpam-5008	185	2	for	for	ADP
ejpam-5008	185	3	all	all	DET
ejpam-5008	185	4	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	185	5	∈	∈	PROPN
ejpam-5008	185	6	b	b	PROPN
ejpam-5008	185	7	,	,	PUNCT
ejpam-5008	185	8	q	q	PROPN
ejpam-5008	185	9	∈	∈	PROPN
ejpam-5008	185	10	q	q	X
ejpam-5008	185	11	and	and	CCONJ
ejpam-5008	185	12	e	e	PROPN
ejpam-5008	185	13	∈	∈	PROPN
ejpam-5008	185	14	e	e	NOUN
ejpam-5008	185	15	,	,	PUNCT
ejpam-5008	185	16	we	we	PRON
ejpam-5008	185	17	hold	hold	VERB
ejpam-5008	185	18	µs[e](α	µs[e](α	PROPN
ejpam-5008	185	19	∗∆	∗∆	PROPN
ejpam-5008	185	20	,	,	PUNCT
ejpam-5008	185	21	q	q	ADJ
ejpam-5008	185	22	)	)	PUNCT
ejpam-5008	185	23	⊇	⊇	NOUN
ejpam-5008	185	24	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	185	25	∗ϖ	∗ϖ	PROPN
ejpam-5008	185	26	)	)	PUNCT
ejpam-5008	185	27	∗∆	∗∆	PROPN
ejpam-5008	185	28	)	)	PUNCT
ejpam-5008	185	29	,	,	PUNCT
ejpam-5008	185	30	q	q	X
ejpam-5008	185	31	)	)	PUNCT
ejpam-5008	185	32	∩	∩	NOUN
ejpam-5008	185	33	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	185	34	,	,	PUNCT
ejpam-5008	185	35	q	q	X
ejpam-5008	185	36	)	)	PUNCT
ejpam-5008	185	37	putting	put	VERB
ejpam-5008	185	38	∆	∆	X
ejpam-5008	185	39	=	=	SYM
ejpam-5008	185	40	0	0	NUM
ejpam-5008	185	41	µs[e](α	µs[e](α	PROPN
ejpam-5008	185	42	,	,	PUNCT
ejpam-5008	185	43	q	q	X
ejpam-5008	185	44	)	)	PUNCT
ejpam-5008	185	45	⊇	⊇	NOUN
ejpam-5008	185	46	µs[e](α	µs[e](α	PROPN
ejpam-5008	185	47	∗ϖ	∗ϖ	PROPN
ejpam-5008	185	48	,	,	PUNCT
ejpam-5008	185	49	q	q	X
ejpam-5008	185	50	)	)	PUNCT
ejpam-5008	185	51	∩	∩	NOUN
ejpam-5008	185	52	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	185	53	,	,	PUNCT
ejpam-5008	185	54	q	q	NOUN
ejpam-5008	185	55	)	)	PUNCT
ejpam-5008	185	56	therefore	therefore	ADV
ejpam-5008	185	57	,	,	PUNCT
ejpam-5008	185	58	(	(	PUNCT
ejpam-5008	185	59	s	s	X
ejpam-5008	185	60	,	,	PUNCT
ejpam-5008	185	61	a	a	PRON
ejpam-5008	185	62	)	)	PUNCT
ejpam-5008	185	63	is	be	AUX
ejpam-5008	185	64	a	a	DET
ejpam-5008	185	65	multi	multi	ADJ
ejpam-5008	185	66	-	-	ADJ
ejpam-5008	185	67	polar	polar	ADJ
ejpam-5008	185	68	q	q	ADJ
ejpam-5008	185	69	-	-	PUNCT
ejpam-5008	185	70	hesitant	hesitant	ADJ
ejpam-5008	185	71	fuzzy	fuzzy	ADJ
ejpam-5008	185	72	soft	soft	ADJ
ejpam-5008	185	73	ideal	ideal	NOUN
ejpam-5008	185	74	.	.	PUNCT
ejpam-5008	186	1	proposition	proposition	NOUN
ejpam-5008	186	2	4	4	NUM
ejpam-5008	186	3	.	.	PUNCT
ejpam-5008	187	1	every	every	DET
ejpam-5008	187	2	multi	multi	ADJ
ejpam-5008	187	3	-	-	ADJ
ejpam-5008	187	4	polar	polar	ADJ
ejpam-5008	187	5	q	q	ADJ
ejpam-5008	187	6	-	-	PUNCT
ejpam-5008	187	7	hesitant	hesitant	ADJ
ejpam-5008	187	8	fuzzy	fuzzy	ADJ
ejpam-5008	187	9	soft	soft	ADJ
ejpam-5008	187	10	positive	positive	ADJ
ejpam-5008	187	11	implicative	implicative	ADJ
ejpam-5008	187	12	ideal	ideal	NOUN
ejpam-5008	187	13	of	of	ADP
ejpam-5008	187	14	bckalgebra	bckalgebra	PROPN
ejpam-5008	187	15	b	b	PROPN
ejpam-5008	187	16	is	be	AUX
ejpam-5008	187	17	order	order	NOUN
ejpam-5008	187	18	-	-	PUNCT
ejpam-5008	187	19	preserving	preserve	VERB
ejpam-5008	187	20	.	.	PUNCT
ejpam-5008	188	1	proof	proof	NOUN
ejpam-5008	188	2	.	.	PUNCT
ejpam-5008	189	1	let	let	VERB
ejpam-5008	189	2	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	189	3	∈	∈	PROPN
ejpam-5008	189	4	b	b	PROPN
ejpam-5008	189	5	and	and	CCONJ
ejpam-5008	189	6	e	e	PROPN
ejpam-5008	189	7	∈	∈	PROPN
ejpam-5008	189	8	a	a	DET
ejpam-5008	189	9	be	be	AUX
ejpam-5008	189	10	such	such	ADJ
ejpam-5008	189	11	that	that	SCONJ
ejpam-5008	189	12	α	α	PROPN
ejpam-5008	189	13	≥	≥	NOUN
ejpam-5008	189	14	ϖ.	ϖ.	VERB
ejpam-5008	189	15	since	since	ADV
ejpam-5008	189	16	(	(	PUNCT
ejpam-5008	189	17	s	s	X
ejpam-5008	189	18	,	,	PUNCT
ejpam-5008	189	19	a	a	PRON
ejpam-5008	189	20	)	)	PUNCT
ejpam-5008	189	21	is	be	AUX
ejpam-5008	189	22	multi	multi	ADJ
ejpam-5008	189	23	-	-	ADJ
ejpam-5008	189	24	polar	polar	ADJ
ejpam-5008	189	25	q	q	ADJ
ejpam-5008	189	26	-	-	PUNCT
ejpam-5008	189	27	hesitant	hesitant	ADJ
ejpam-5008	189	28	fuzzy	fuzzy	ADJ
ejpam-5008	189	29	soft	soft	ADJ
ejpam-5008	189	30	positive	positive	ADJ
ejpam-5008	189	31	implicative	implicative	ADJ
ejpam-5008	189	32	ideal	ideal	NOUN
ejpam-5008	189	33	of	of	ADP
ejpam-5008	189	34	b	b	PROPN
ejpam-5008	189	35	.	.	PUNCT
ejpam-5008	190	1	µs[e](α	µs[e](α	PROPN
ejpam-5008	190	2	∗∆	∗∆	PROPN
ejpam-5008	190	3	,	,	PUNCT
ejpam-5008	190	4	q	q	ADJ
ejpam-5008	190	5	)	)	PUNCT
ejpam-5008	190	6	⊇	⊇	NOUN
ejpam-5008	190	7	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	190	8	∗ϖ	∗ϖ	PROPN
ejpam-5008	190	9	)	)	PUNCT
ejpam-5008	190	10	∗∆	∗∆	PROPN
ejpam-5008	190	11	)	)	PUNCT
ejpam-5008	190	12	,	,	PUNCT
ejpam-5008	190	13	q	q	X
ejpam-5008	190	14	)	)	PUNCT
ejpam-5008	190	15	∩	∩	NOUN
ejpam-5008	190	16	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	190	17	∗∆	∗∆	PROPN
ejpam-5008	190	18	,	,	PUNCT
ejpam-5008	190	19	q	q	NOUN
ejpam-5008	190	20	)	)	PUNCT
ejpam-5008	190	21	=	=	SYM
ejpam-5008	190	22	µs[e](0	µs[e](0	PUNCT
ejpam-5008	190	23	∗∆	∗∆	PROPN
ejpam-5008	190	24	,	,	PUNCT
ejpam-5008	190	25	q	q	NOUN
ejpam-5008	190	26	)	)	PUNCT
ejpam-5008	190	27	∩	∩	NOUN
ejpam-5008	190	28	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	190	29	∗∆	∗∆	PROPN
ejpam-5008	190	30	,	,	PUNCT
ejpam-5008	190	31	q	q	NOUN
ejpam-5008	190	32	)	)	PUNCT
ejpam-5008	190	33	=	=	SYM
ejpam-5008	191	1	µs[e](0	µs[e](0	NOUN
ejpam-5008	191	2	,	,	PUNCT
ejpam-5008	191	3	q	q	NOUN
ejpam-5008	191	4	)	)	PUNCT
ejpam-5008	191	5	∩	∩	NOUN
ejpam-5008	191	6	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	191	7	∗∆	∗∆	PROPN
ejpam-5008	191	8	,	,	PUNCT
ejpam-5008	191	9	q	q	NOUN
ejpam-5008	191	10	)	)	PUNCT
ejpam-5008	191	11	=	=	SYM
ejpam-5008	191	12	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	191	13	∗∆	∗∆	PROPN
ejpam-5008	191	14	,	,	PUNCT
ejpam-5008	191	15	q	q	ADJ
ejpam-5008	191	16	)	)	PUNCT
ejpam-5008	191	17	266	266	NUM
ejpam-5008	191	18	putting	put	VERB
ejpam-5008	191	19	∆	∆	X
ejpam-5008	191	20	=	=	SYM
ejpam-5008	191	21	0	0	NUM
ejpam-5008	191	22	µs[e](α	µs[e](α	PROPN
ejpam-5008	191	23	,	,	PUNCT
ejpam-5008	191	24	q	q	ADJ
ejpam-5008	191	25	)	)	PUNCT
ejpam-5008	191	26	⊇	⊇	NOUN
ejpam-5008	191	27	µs[e](ϖ	µs[e](ϖ	NOUN
ejpam-5008	191	28	,	,	PUNCT
ejpam-5008	191	29	q	q	X
ejpam-5008	191	30	)	)	PUNCT
ejpam-5008	191	31	the	the	DET
ejpam-5008	191	32	proof	proof	NOUN
ejpam-5008	191	33	is	be	AUX
ejpam-5008	191	34	complete	complete	ADJ
ejpam-5008	191	35	.	.	PUNCT
ejpam-5008	192	1	proposition	proposition	NOUN
ejpam-5008	192	2	5	5	NUM
ejpam-5008	192	3	.	.	PUNCT
ejpam-5008	193	1	if	if	SCONJ
ejpam-5008	193	2	b	b	PROPN
ejpam-5008	193	3	is	be	AUX
ejpam-5008	193	4	a	a	DET
ejpam-5008	193	5	positive	positive	ADJ
ejpam-5008	193	6	implicative	implicative	ADJ
ejpam-5008	193	7	bck	bck	NOUN
ejpam-5008	193	8	-	-	PUNCT
ejpam-5008	193	9	algebra	algebra	NOUN
ejpam-5008	193	10	then	then	ADV
ejpam-5008	193	11	every	every	DET
ejpam-5008	193	12	multi	multi	ADJ
ejpam-5008	193	13	-	-	ADJ
ejpam-5008	193	14	polar	polar	ADJ
ejpam-5008	193	15	qhesitant	qhesitant	ADJ
ejpam-5008	193	16	fuzzy	fuzzy	ADJ
ejpam-5008	193	17	soft	soft	ADJ
ejpam-5008	193	18	ideal	ideal	NOUN
ejpam-5008	193	19	of	of	ADP
ejpam-5008	193	20	b	b	PROPN
ejpam-5008	193	21	is	be	AUX
ejpam-5008	193	22	a	a	DET
ejpam-5008	193	23	multi	multi	ADJ
ejpam-5008	193	24	-	-	ADJ
ejpam-5008	193	25	polar	polar	ADJ
ejpam-5008	193	26	q	q	ADJ
ejpam-5008	193	27	-	-	PUNCT
ejpam-5008	193	28	hesitant	hesitant	ADJ
ejpam-5008	193	29	fuzzy	fuzzy	ADJ
ejpam-5008	193	30	soft	soft	ADJ
ejpam-5008	193	31	positive	positive	ADJ
ejpam-5008	193	32	implicative	implicative	ADJ
ejpam-5008	193	33	ideal	ideal	NOUN
ejpam-5008	193	34	of	of	ADP
ejpam-5008	193	35	b	b	PROPN
ejpam-5008	193	36	.	.	PUNCT
ejpam-5008	194	1	proof	proof	NOUN
ejpam-5008	194	2	.	.	PUNCT
ejpam-5008	195	1	assume	assume	VERB
ejpam-5008	195	2	that	that	SCONJ
ejpam-5008	195	3	(	(	PUNCT
ejpam-5008	195	4	s	s	X
ejpam-5008	195	5	,	,	PUNCT
ejpam-5008	195	6	a	a	PRON
ejpam-5008	195	7	)	)	PUNCT
ejpam-5008	195	8	is	be	AUX
ejpam-5008	195	9	a	a	DET
ejpam-5008	195	10	multi	multi	ADJ
ejpam-5008	195	11	-	-	ADJ
ejpam-5008	195	12	polar	polar	ADJ
ejpam-5008	195	13	q	q	ADJ
ejpam-5008	195	14	-	-	PUNCT
ejpam-5008	195	15	hesitant	hesitant	ADJ
ejpam-5008	195	16	fuzzy	fuzzy	ADJ
ejpam-5008	195	17	soft	soft	ADJ
ejpam-5008	195	18	ideal	ideal	NOUN
ejpam-5008	195	19	of	of	ADP
ejpam-5008	195	20	a	a	DET
ejpam-5008	195	21	positive	positive	ADJ
ejpam-5008	195	22	implicative	implicative	ADJ
ejpam-5008	195	23	bck	bck	NOUN
ejpam-5008	195	24	-	-	PUNCT
ejpam-5008	195	25	algebra	algebra	NOUN
ejpam-5008	195	26	,	,	PUNCT
ejpam-5008	195	27	for	for	ADP
ejpam-5008	195	28	all	all	DET
ejpam-5008	195	29	α,ϖ	α,ϖ	PROPN
ejpam-5008	195	30	∈	∈	PROPN
ejpam-5008	195	31	b	b	PROPN
ejpam-5008	195	32	and	and	CCONJ
ejpam-5008	195	33	e	e	PROPN
ejpam-5008	195	34	∈	∈	PROPN
ejpam-5008	195	35	a	a	DET
ejpam-5008	195	36	,	,	PUNCT
ejpam-5008	195	37	then	then	ADV
ejpam-5008	195	38	µs[e](α	µs[e](α	PROPN
ejpam-5008	195	39	,	,	PUNCT
ejpam-5008	195	40	q	q	X
ejpam-5008	195	41	)	)	PUNCT
ejpam-5008	195	42	⊇	⊇	NOUN
ejpam-5008	195	43	µs[e](α	µs[e](α	PROPN
ejpam-5008	195	44	∗ϖ	∗ϖ	PROPN
ejpam-5008	195	45	,	,	PUNCT
ejpam-5008	195	46	q	q	X
ejpam-5008	195	47	)	)	PUNCT
ejpam-5008	195	48	∩	∩	NOUN
ejpam-5008	195	49	µs[e](ϖ	µs[e](ϖ	ADJ
ejpam-5008	195	50	,	,	PUNCT
ejpam-5008	195	51	q	q	NOUN
ejpam-5008	195	52	)	)	PUNCT
ejpam-5008	195	53	by	by	ADP
ejpam-5008	195	54	replacing	replace	VERB
ejpam-5008	195	55	x	x	PUNCT
ejpam-5008	195	56	with	with	ADP
ejpam-5008	195	57	α	α	PROPN
ejpam-5008	195	58	∗∆	∗∆	PROPN
ejpam-5008	195	59	and	and	CCONJ
ejpam-5008	195	60	y	y	PROPN
ejpam-5008	195	61	with	with	ADP
ejpam-5008	195	62	ϖ	ϖ	PROPN
ejpam-5008	195	63	∗∆	∗∆	PROPN
ejpam-5008	195	64	,	,	PUNCT
ejpam-5008	195	65	we	we	PRON
ejpam-5008	195	66	obtain	obtain	VERB
ejpam-5008	195	67	µs[e](α	µs[e](α	NOUN
ejpam-5008	195	68	∗∆	∗∆	PROPN
ejpam-5008	195	69	,	,	PUNCT
ejpam-5008	195	70	q	q	ADJ
ejpam-5008	195	71	)	)	PUNCT
ejpam-5008	195	72	⊇	⊇	NOUN
ejpam-5008	195	73	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	195	74	∗∆	∗∆	PROPN
ejpam-5008	195	75	)	)	PUNCT
ejpam-5008	195	76	∗	∗	NOUN
ejpam-5008	195	77	(	(	PUNCT
ejpam-5008	195	78	ϖ	ϖ	NOUN
ejpam-5008	195	79	∗∆	∗∆	PROPN
ejpam-5008	195	80	)	)	PUNCT
ejpam-5008	195	81	,	,	PUNCT
ejpam-5008	195	82	q	q	X
ejpam-5008	195	83	)	)	PUNCT
ejpam-5008	195	84	∩	∩	NOUN
ejpam-5008	195	85	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	195	86	∗∆	∗∆	PROPN
ejpam-5008	195	87	,	,	PUNCT
ejpam-5008	195	88	q	q	NOUN
ejpam-5008	195	89	)	)	PUNCT
ejpam-5008	195	90	since	since	SCONJ
ejpam-5008	195	91	b	b	PROPN
ejpam-5008	195	92	is	be	AUX
ejpam-5008	195	93	a	a	DET
ejpam-5008	195	94	positive	positive	ADJ
ejpam-5008	195	95	implicative	implicative	ADJ
ejpam-5008	195	96	bck	bck	NOUN
ejpam-5008	195	97	-	-	PUNCT
ejpam-5008	195	98	algebra	algebra	PROPN
ejpam-5008	195	99	(	(	PUNCT
ejpam-5008	195	100	x∗z(∗(y	x∗z(∗(y	PROPN
ejpam-5008	195	101	∗z	∗z	X
ejpam-5008	195	102	)	)	PUNCT
ejpam-5008	196	1	=	=	SYM
ejpam-5008	196	2	(	(	PUNCT
ejpam-5008	196	3	x∗y)∗z	x∗y)∗z	NOUN
ejpam-5008	196	4	for	for	ADP
ejpam-5008	196	5	all	all	DET
ejpam-5008	196	6	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	196	7	∈	∈	PROPN
ejpam-5008	196	8	b	b	NOUN
ejpam-5008	196	9	hence	hence	ADV
ejpam-5008	196	10	µs[e](α	µs[e](α	PROPN
ejpam-5008	196	11	∗∆	∗∆	PROPN
ejpam-5008	196	12	,	,	PUNCT
ejpam-5008	196	13	q	q	ADJ
ejpam-5008	196	14	)	)	PUNCT
ejpam-5008	196	15	⊇	⊇	NOUN
ejpam-5008	196	16	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	196	17	∗ϖ	∗ϖ	PROPN
ejpam-5008	196	18	)	)	PUNCT
ejpam-5008	196	19	∗∆	∗∆	PROPN
ejpam-5008	196	20	,	,	PUNCT
ejpam-5008	196	21	q	q	NOUN
ejpam-5008	196	22	)	)	PUNCT
ejpam-5008	196	23	∩	∩	NOUN
ejpam-5008	196	24	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	196	25	∗∆	∗∆	PROPN
ejpam-5008	196	26	,	,	PUNCT
ejpam-5008	196	27	q	q	X
ejpam-5008	196	28	)	)	PUNCT
ejpam-5008	196	29	this	this	PRON
ejpam-5008	196	30	indicates	indicate	VERB
ejpam-5008	196	31	that	that	SCONJ
ejpam-5008	196	32	(	(	PUNCT
ejpam-5008	196	33	s	s	X
ejpam-5008	196	34	,	,	PUNCT
ejpam-5008	196	35	a	a	PRON
ejpam-5008	196	36	)	)	PUNCT
ejpam-5008	196	37	is	be	AUX
ejpam-5008	196	38	a	a	DET
ejpam-5008	196	39	multi	multi	ADJ
ejpam-5008	196	40	-	-	ADJ
ejpam-5008	196	41	polar	polar	ADJ
ejpam-5008	196	42	q	q	ADJ
ejpam-5008	196	43	-	-	PUNCT
ejpam-5008	196	44	hesitant	hesitant	ADJ
ejpam-5008	196	45	fuzzy	fuzzy	ADJ
ejpam-5008	196	46	soft	soft	ADJ
ejpam-5008	196	47	positive	positive	ADJ
ejpam-5008	196	48	implicative	implicative	ADJ
ejpam-5008	196	49	ideal	ideal	NOUN
ejpam-5008	196	50	of	of	ADP
ejpam-5008	196	51	b	b	PROPN
ejpam-5008	196	52	.	.	PUNCT
ejpam-5008	197	1	as	as	ADP
ejpam-5008	197	2	a	a	DET
ejpam-5008	197	3	result	result	NOUN
ejpam-5008	197	4	,	,	PUNCT
ejpam-5008	197	5	the	the	DET
ejpam-5008	197	6	validation	validation	NOUN
ejpam-5008	197	7	is	be	AUX
ejpam-5008	197	8	done	do	VERB
ejpam-5008	197	9	.	.	PUNCT
ejpam-5008	198	1	theorem	theorem	NOUN
ejpam-5008	198	2	3	3	X
ejpam-5008	198	3	.	.	PUNCT
ejpam-5008	199	1	let	let	AUX
ejpam-5008	199	2	(	(	PUNCT
ejpam-5008	199	3	s.a	s.a	PROPN
ejpam-5008	199	4	)	)	PUNCT
ejpam-5008	199	5	be	be	VERB
ejpam-5008	199	6	a	a	DET
ejpam-5008	199	7	multi	multi	ADJ
ejpam-5008	199	8	-	-	ADJ
ejpam-5008	199	9	polar	polar	ADJ
ejpam-5008	199	10	q	q	ADJ
ejpam-5008	199	11	-	-	PUNCT
ejpam-5008	199	12	hesitant	hesitant	ADJ
ejpam-5008	199	13	fuzzy	fuzzy	ADJ
ejpam-5008	199	14	soft	soft	ADJ
ejpam-5008	199	15	ideal	ideal	NOUN
ejpam-5008	199	16	of	of	ADP
ejpam-5008	199	17	b	b	NOUN
ejpam-5008	199	18	,	,	PUNCT
ejpam-5008	199	19	then	then	ADV
ejpam-5008	199	20	(	(	PUNCT
ejpam-5008	199	21	s	s	X
ejpam-5008	199	22	,	,	PUNCT
ejpam-5008	199	23	a	a	PRON
ejpam-5008	199	24	)	)	PUNCT
ejpam-5008	199	25	is	be	AUX
ejpam-5008	199	26	a	a	DET
ejpam-5008	199	27	multi	multi	ADJ
ejpam-5008	199	28	-	-	ADJ
ejpam-5008	199	29	polar	polar	ADJ
ejpam-5008	199	30	q	q	ADJ
ejpam-5008	199	31	-	-	PUNCT
ejpam-5008	199	32	hesitant	hesitant	ADJ
ejpam-5008	199	33	fuzzy	fuzzy	ADJ
ejpam-5008	199	34	soft	soft	ADJ
ejpam-5008	199	35	positive	positive	ADJ
ejpam-5008	199	36	implicative	implicative	ADJ
ejpam-5008	199	37	ideal	ideal	NOUN
ejpam-5008	199	38	of	of	ADP
ejpam-5008	199	39	b	b	NOUN
ejpam-5008	199	40	if	if	NOUN
ejpam-5008	199	41	and	and	CCONJ
ejpam-5008	199	42	only	only	ADV
ejpam-5008	199	43	if	if	SCONJ
ejpam-5008	199	44	satisfies	satisfy	VERB
ejpam-5008	199	45	the	the	DET
ejpam-5008	199	46	inequalities	inequality	NOUN
ejpam-5008	199	47	µs[e](α	µs[e](α	PROPN
ejpam-5008	199	48	∗ϖ	∗ϖ	PROPN
ejpam-5008	199	49	,	,	PUNCT
ejpam-5008	199	50	q	q	X
ejpam-5008	199	51	)	)	PUNCT
ejpam-5008	199	52	⊇	⊇	NOUN
ejpam-5008	199	53	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	199	54	∗ϖ	∗ϖ	PROPN
ejpam-5008	199	55	)	)	PUNCT
ejpam-5008	199	56	∗∆	∗∆	PROPN
ejpam-5008	199	57	)	)	PUNCT
ejpam-5008	199	58	,	,	PUNCT
ejpam-5008	199	59	q	q	X
ejpam-5008	199	60	)	)	PUNCT
ejpam-5008	199	61	∀α,ϖ	∀α,ϖ	PROPN
ejpam-5008	199	62	∈	∈	PROPN
ejpam-5008	199	63	b	b	PROPN
ejpam-5008	199	64	and	and	CCONJ
ejpam-5008	199	65	e	e	PROPN
ejpam-5008	199	66	∈	∈	PROPN
ejpam-5008	199	67	a	a	DET
ejpam-5008	199	68	proof	proof	NOUN
ejpam-5008	199	69	.	.	PUNCT
ejpam-5008	200	1	take	take	VERB
ejpam-5008	200	2	for	for	SCONJ
ejpam-5008	200	3	granted	grant	VERB
ejpam-5008	200	4	that	that	SCONJ
ejpam-5008	200	5	the	the	DET
ejpam-5008	200	6	multi	multi	ADJ
ejpam-5008	200	7	-	-	ADJ
ejpam-5008	200	8	polar	polar	ADJ
ejpam-5008	200	9	q	q	ADJ
ejpam-5008	200	10	-	-	PUNCT
ejpam-5008	200	11	hesitant	hesitant	ADJ
ejpam-5008	200	12	fuzzy	fuzzy	ADJ
ejpam-5008	200	13	soft	soft	ADJ
ejpam-5008	200	14	ideal	ideal	NOUN
ejpam-5008	200	15	(	(	PUNCT
ejpam-5008	200	16	s	s	PROPN
ejpam-5008	200	17	,	,	PUNCT
ejpam-5008	200	18	a	a	PRON
ejpam-5008	200	19	)	)	PUNCT
ejpam-5008	200	20	of	of	ADP
ejpam-5008	200	21	a	a	DET
ejpam-5008	200	22	bck	bck	NOUN
ejpam-5008	200	23	-	-	PUNCT
ejpam-5008	200	24	algebra	algebra	NOUN
ejpam-5008	200	25	b	b	NOUN
ejpam-5008	200	26	is	be	AUX
ejpam-5008	200	27	a	a	DET
ejpam-5008	200	28	multi	multi	ADJ
ejpam-5008	200	29	-	-	ADJ
ejpam-5008	200	30	polar	polar	ADJ
ejpam-5008	200	31	q	q	ADJ
ejpam-5008	200	32	-	-	PUNCT
ejpam-5008	200	33	hesitant	hesitant	ADJ
ejpam-5008	200	34	fuzzy	fuzzy	ADJ
ejpam-5008	200	35	soft	soft	ADJ
ejpam-5008	200	36	filter	filter	NOUN
ejpam-5008	200	37	positive	positive	ADJ
ejpam-5008	200	38	implicative	implicative	ADJ
ejpam-5008	200	39	ideal	ideal	NOUN
ejpam-5008	200	40	of	of	ADP
ejpam-5008	200	41	b.	b.	PROPN
ejpam-5008	201	1	so	so	SCONJ
ejpam-5008	201	2	µs[e](α	µs[e](α	PROPN
ejpam-5008	201	3	∗∆	∗∆	PROPN
ejpam-5008	201	4	,	,	PUNCT
ejpam-5008	201	5	q	q	ADJ
ejpam-5008	201	6	)	)	PUNCT
ejpam-5008	201	7	⊇	⊇	NOUN
ejpam-5008	201	8	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	201	9	∗ϖ	∗ϖ	PROPN
ejpam-5008	201	10	)	)	PUNCT
ejpam-5008	201	11	∗∆	∗∆	PROPN
ejpam-5008	201	12	)	)	PUNCT
ejpam-5008	201	13	,	,	PUNCT
ejpam-5008	201	14	q	q	X
ejpam-5008	201	15	)	)	PUNCT
ejpam-5008	201	16	∩	∩	NOUN
ejpam-5008	201	17	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	201	18	∗∆	∗∆	PROPN
ejpam-5008	201	19	,	,	PUNCT
ejpam-5008	201	20	q	q	NOUN
ejpam-5008	201	21	)	)	PUNCT
ejpam-5008	201	22	∀α,ϖ,∆	∀α,ϖ,∆	NOUN
ejpam-5008	201	23	∈	∈	PROPN
ejpam-5008	201	24	b	b	PROPN
ejpam-5008	201	25	and	and	CCONJ
ejpam-5008	201	26	e	e	NOUN
ejpam-5008	201	27	∈	∈	PROPN
ejpam-5008	201	28	a.	a.	NOUN
ejpam-5008	201	29	substituting	substitute	VERB
ejpam-5008	201	30	z	z	PROPN
ejpam-5008	201	31	=	=	PROPN
ejpam-5008	201	32	y	y	PROPN
ejpam-5008	201	33	,	,	PUNCT
ejpam-5008	201	34	we	we	PRON
ejpam-5008	201	35	have	have	VERB
ejpam-5008	201	36	µs[e](α	µs[e](α	NOUN
ejpam-5008	201	37	∗ϖ	∗ϖ	PROPN
ejpam-5008	201	38	,	,	PUNCT
ejpam-5008	201	39	q	q	X
ejpam-5008	201	40	)	)	PUNCT
ejpam-5008	201	41	⊇	⊇	NOUN
ejpam-5008	201	42	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	201	43	∗ϖ	∗ϖ	NOUN
ejpam-5008	201	44	)	)	PUNCT
ejpam-5008	201	45	∗ϖ	∗ϖ	PROPN
ejpam-5008	201	46	)	)	PUNCT
ejpam-5008	201	47	,	,	PUNCT
ejpam-5008	202	1	q	q	X
ejpam-5008	202	2	)	)	PUNCT
ejpam-5008	202	3	∩	∩	ADJ
ejpam-5008	202	4	µs[e](ϖ	µs[e](ϖ	X
ejpam-5008	202	5	∗ϖ	∗ϖ	PROPN
ejpam-5008	202	6	,	,	PUNCT
ejpam-5008	202	7	q	q	X
ejpam-5008	202	8	)	)	PUNCT
ejpam-5008	202	9	=	=	SYM
ejpam-5008	202	10	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	202	11	∗ϖ	∗ϖ	NOUN
ejpam-5008	202	12	)	)	PUNCT
ejpam-5008	202	13	∗ϖ	∗ϖ	PROPN
ejpam-5008	202	14	,	,	PUNCT
ejpam-5008	202	15	q	q	X
ejpam-5008	202	16	)	)	PUNCT
ejpam-5008	202	17	∩	∩	ADJ
ejpam-5008	202	18	µs[e](0	µs[e](0	PROPN
ejpam-5008	202	19	,	,	PUNCT
ejpam-5008	202	20	q	q	NOUN
ejpam-5008	202	21	)	)	PUNCT
ejpam-5008	202	22	=	=	SYM
ejpam-5008	202	23	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	202	24	∗ϖ	∗ϖ	NOUN
ejpam-5008	202	25	)	)	PUNCT
ejpam-5008	202	26	∗ϖ	∗ϖ	PROPN
ejpam-5008	202	27	,	,	PUNCT
ejpam-5008	202	28	q	q	X
ejpam-5008	202	29	)	)	PUNCT
ejpam-5008	202	30	conversely	conversely	ADV
ejpam-5008	202	31	,	,	PUNCT
ejpam-5008	202	32	suppose	suppose	VERB
ejpam-5008	202	33	that	that	SCONJ
ejpam-5008	202	34	(	(	PUNCT
ejpam-5008	202	35	h	h	NOUN
ejpam-5008	202	36	,	,	PUNCT
ejpam-5008	202	37	a	a	PRON
ejpam-5008	202	38	)	)	PUNCT
ejpam-5008	202	39	is	be	AUX
ejpam-5008	202	40	a	a	DET
ejpam-5008	202	41	multi	multi	ADJ
ejpam-5008	202	42	-	-	ADJ
ejpam-5008	202	43	polar	polar	ADJ
ejpam-5008	202	44	q	q	ADJ
ejpam-5008	202	45	-	-	PUNCT
ejpam-5008	202	46	hesitant	hesitant	ADJ
ejpam-5008	202	47	fuzzy	fuzzy	ADJ
ejpam-5008	202	48	soft	soft	ADJ
ejpam-5008	202	49	ideal	ideal	NOUN
ejpam-5008	202	50	over	over	ADP
ejpam-5008	202	51	b	b	NOUN
ejpam-5008	202	52	and	and	CCONJ
ejpam-5008	202	53	satisfies	satisfy	VERB
ejpam-5008	202	54	the	the	DET
ejpam-5008	202	55	inequality	inequality	NOUN
ejpam-5008	202	56	µs[e](α	µs[e](α	PROPN
ejpam-5008	202	57	∗ϖ	∗ϖ	PROPN
ejpam-5008	202	58	,	,	PUNCT
ejpam-5008	202	59	q	q	X
ejpam-5008	202	60	)	)	PUNCT
ejpam-5008	202	61	⊇	⊇	NOUN
ejpam-5008	202	62	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	202	63	∗ϖ	∗ϖ	NOUN
ejpam-5008	202	64	)	)	PUNCT
ejpam-5008	202	65	∗ϖ	∗ϖ	PROPN
ejpam-5008	202	66	)	)	PUNCT
ejpam-5008	202	67	,	,	PUNCT
ejpam-5008	202	68	q	q	X
ejpam-5008	202	69	)	)	PUNCT
ejpam-5008	202	70	267	267	NUM
ejpam-5008	202	71	since	since	SCONJ
ejpam-5008	202	72	µs[e](0	µs[e](0	PROPN
ejpam-5008	202	73	,	,	PUNCT
ejpam-5008	202	74	q	q	ADJ
ejpam-5008	202	75	)	)	PUNCT
ejpam-5008	202	76	⊇	⊇	PROPN
ejpam-5008	202	77	µs[e](α	µs[e](α	PROPN
ejpam-5008	202	78	,	,	PUNCT
ejpam-5008	202	79	q	q	NOUN
ejpam-5008	202	80	)	)	PUNCT
ejpam-5008	202	81	.	.	PUNCT
ejpam-5008	203	1	at	at	ADP
ejpam-5008	203	2	this	this	DET
ejpam-5008	203	3	juncture	juncture	NOUN
ejpam-5008	203	4	,	,	PUNCT
ejpam-5008	203	5	we	we	PRON
ejpam-5008	203	6	can	can	AUX
ejpam-5008	203	7	show	show	VERB
ejpam-5008	203	8	that	that	SCONJ
ejpam-5008	203	9	µs[e](α	µs[e](α	PROPN
ejpam-5008	203	10	∗∆	∗∆	PROPN
ejpam-5008	203	11	,	,	PUNCT
ejpam-5008	203	12	q	q	ADJ
ejpam-5008	203	13	)	)	PUNCT
ejpam-5008	203	14	⊇	⊇	NOUN
ejpam-5008	203	15	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	203	16	∗ϖ	∗ϖ	PROPN
ejpam-5008	203	17	)	)	PUNCT
ejpam-5008	203	18	∗∆	∗∆	PROPN
ejpam-5008	203	19	)	)	PUNCT
ejpam-5008	203	20	,	,	PUNCT
ejpam-5008	203	21	q	q	X
ejpam-5008	203	22	)	)	PUNCT
ejpam-5008	203	23	∩	∩	NOUN
ejpam-5008	203	24	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	203	25	∗∆	∗∆	PROPN
ejpam-5008	203	26	,	,	PUNCT
ejpam-5008	203	27	q	q	NOUN
ejpam-5008	203	28	)	)	PUNCT
ejpam-5008	203	29	for	for	ADP
ejpam-5008	203	30	all	all	DET
ejpam-5008	203	31	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	203	32	∈	∈	PROPN
ejpam-5008	203	33	b	b	PROPN
ejpam-5008	203	34	and	and	CCONJ
ejpam-5008	203	35	e	e	PROPN
ejpam-5008	203	36	∈	∈	PROPN
ejpam-5008	203	37	a.	a.	NOUN
ejpam-5008	203	38	in	in	ADP
ejpam-5008	203	39	contrast	contrast	NOUN
ejpam-5008	203	40	,	,	PUNCT
ejpam-5008	203	41	there	there	PRON
ejpam-5008	203	42	exist	exist	VERB
ejpam-5008	203	43	α′	α′	NUM
ejpam-5008	203	44	,	,	PUNCT
ejpam-5008	203	45	ϖ′	ϖ′	PROPN
ejpam-5008	203	46	∈	∈	PROPN
ejpam-5008	203	47	b	b	PROPN
ejpam-5008	203	48	in	in	ADP
ejpam-5008	203	49	a	a	DET
ejpam-5008	203	50	way	way	NOUN
ejpam-5008	203	51	that	that	PRON
ejpam-5008	203	52	µs[e](α	µs[e](α	PROPN
ejpam-5008	203	53	′	′	NOUN
ejpam-5008	203	54	∗ϖ′	∗ϖ′	PROPN
ejpam-5008	203	55	,	,	PUNCT
ejpam-5008	203	56	q	q	X
ejpam-5008	203	57	)	)	PUNCT
ejpam-5008	203	58	⊇	⊇	NOUN
ejpam-5008	203	59	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	203	60	′	′	NUM
ejpam-5008	203	61	∗ϖ′	∗ϖ′	NOUN
ejpam-5008	203	62	)	)	PUNCT
ejpam-5008	203	63	∗ϖ′	∗ϖ′	NUM
ejpam-5008	203	64	)	)	PUNCT
ejpam-5008	203	65	,	,	PUNCT
ejpam-5008	203	66	q	q	X
ejpam-5008	203	67	)	)	PUNCT
ejpam-5008	203	68	∩	∩	NOUN
ejpam-5008	203	69	µs[e](ϖ	µs[e](ϖ	X
ejpam-5008	203	70	′	′	NOUN
ejpam-5008	203	71	∗ϖ′	∗ϖ′	NOUN
ejpam-5008	203	72	,	,	PUNCT
ejpam-5008	203	73	q	q	X
ejpam-5008	203	74	)	)	PUNCT
ejpam-5008	203	75	=	=	SYM
ejpam-5008	203	76	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	203	77	′	′	NOUN
ejpam-5008	203	78	∗ϖ′	∗ϖ′	NOUN
ejpam-5008	203	79	)	)	PUNCT
ejpam-5008	203	80	∗ϖ′	∗ϖ′	ADV
ejpam-5008	203	81	,	,	PUNCT
ejpam-5008	203	82	q	q	X
ejpam-5008	203	83	)	)	PUNCT
ejpam-5008	203	84	∩	∩	ADJ
ejpam-5008	203	85	µs[e](0	µs[e](0	PROPN
ejpam-5008	203	86	,	,	PUNCT
ejpam-5008	203	87	q	q	NOUN
ejpam-5008	203	88	)	)	PUNCT
ejpam-5008	203	89	=	=	SYM
ejpam-5008	203	90	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	203	91	′	′	NOUN
ejpam-5008	203	92	∗ϖ′	∗ϖ′	NOUN
ejpam-5008	203	93	)	)	PUNCT
ejpam-5008	203	94	∗ϖ′	∗ϖ′	ADV
ejpam-5008	203	95	,	,	PUNCT
ejpam-5008	203	96	q	q	NOUN
ejpam-5008	203	97	)	)	PUNCT
ejpam-5008	203	98	which	which	PRON
ejpam-5008	203	99	is	be	AUX
ejpam-5008	203	100	a	a	DET
ejpam-5008	203	101	contradiction	contradiction	NOUN
ejpam-5008	203	102	.	.	PUNCT
ejpam-5008	204	1	as	as	ADP
ejpam-5008	204	2	a	a	DET
ejpam-5008	204	3	consequence	consequence	NOUN
ejpam-5008	204	4	µs[e](α	µs[e](α	PROPN
ejpam-5008	204	5	∗∆	∗∆	PROPN
ejpam-5008	204	6	,	,	PUNCT
ejpam-5008	204	7	q	q	ADJ
ejpam-5008	204	8	)	)	PUNCT
ejpam-5008	204	9	⊇	⊇	NOUN
ejpam-5008	204	10	µs[e]((α	µs[e]((α	NOUN
ejpam-5008	204	11	∗ϖ	∗ϖ	PROPN
ejpam-5008	204	12	)	)	PUNCT
ejpam-5008	204	13	∗∆	∗∆	PROPN
ejpam-5008	204	14	)	)	PUNCT
ejpam-5008	204	15	,	,	PUNCT
ejpam-5008	204	16	q	q	X
ejpam-5008	204	17	)	)	PUNCT
ejpam-5008	204	18	∩	∩	NOUN
ejpam-5008	204	19	µs[e](ϖ	µs[e](ϖ	PROPN
ejpam-5008	204	20	∗∆	∗∆	PROPN
ejpam-5008	204	21	,	,	PUNCT
ejpam-5008	204	22	q	q	NOUN
ejpam-5008	204	23	)	)	PUNCT
ejpam-5008	204	24	for	for	ADP
ejpam-5008	204	25	α,ϖ,∆	α,ϖ,∆	NOUN
ejpam-5008	204	26	∈	∈	PROPN
ejpam-5008	204	27	b	b	PROPN
ejpam-5008	204	28	and	and	CCONJ
ejpam-5008	204	29	e	e	PROPN
ejpam-5008	204	30	∈	∈	PROPN
ejpam-5008	204	31	a.	a.	NOUN
ejpam-5008	204	32	thus	thus	ADV
ejpam-5008	204	33	(	(	PUNCT
ejpam-5008	204	34	s	s	X
ejpam-5008	204	35	,	,	PUNCT
ejpam-5008	204	36	a	a	PRON
ejpam-5008	204	37	)	)	PUNCT
ejpam-5008	204	38	is	be	AUX
ejpam-5008	204	39	a	a	DET
ejpam-5008	204	40	multi	multi	ADJ
ejpam-5008	204	41	-	-	ADJ
ejpam-5008	204	42	polar	polar	ADJ
ejpam-5008	204	43	q	q	ADJ
ejpam-5008	204	44	-	-	PUNCT
ejpam-5008	204	45	hesitant	hesitant	ADJ
ejpam-5008	204	46	fuzzy	fuzzy	ADJ
ejpam-5008	204	47	soft	soft	ADJ
ejpam-5008	204	48	positive	positive	ADJ
ejpam-5008	204	49	implicative	implicative	ADJ
ejpam-5008	204	50	ideal	ideal	NOUN
ejpam-5008	204	51	of	of	ADP
ejpam-5008	204	52	b.	b.	PROPN
ejpam-5008	204	53	consequently	consequently	ADV
ejpam-5008	204	54	,	,	PUNCT
ejpam-5008	204	55	the	the	DET
ejpam-5008	204	56	verification	verification	NOUN
ejpam-5008	204	57	is	be	AUX
ejpam-5008	204	58	wrapped	wrap	VERB
ejpam-5008	204	59	up	up	ADP
ejpam-5008	204	60	.	.	PUNCT
ejpam-5008	205	1	5	5	X
ejpam-5008	205	2	.	.	X
ejpam-5008	205	3	conclusion	conclusion	NOUN
ejpam-5008	205	4	in	in	ADP
ejpam-5008	205	5	conclusion	conclusion	NOUN
ejpam-5008	205	6	,	,	PUNCT
ejpam-5008	205	7	our	our	PRON
ejpam-5008	205	8	exploration	exploration	NOUN
ejpam-5008	205	9	of	of	ADP
ejpam-5008	205	10	multi	multi	ADJ
ejpam-5008	205	11	-	-	ADJ
ejpam-5008	205	12	polar	polar	ADJ
ejpam-5008	205	13	q	q	ADJ
ejpam-5008	205	14	-	-	PUNCT
ejpam-5008	205	15	hesitant	hesitant	ADJ
ejpam-5008	205	16	fuzzy	fuzzy	ADJ
ejpam-5008	205	17	soft	soft	ADJ
ejpam-5008	205	18	implicative	implicative	ADJ
ejpam-5008	205	19	and	and	CCONJ
ejpam-5008	205	20	positive	positive	ADJ
ejpam-5008	205	21	implicative	implicative	ADJ
ejpam-5008	205	22	ideals	ideal	NOUN
ejpam-5008	205	23	in	in	ADP
ejpam-5008	205	24	bck	bck	PROPN
ejpam-5008	205	25	/	/	SYM
ejpam-5008	205	26	bci	bci	NOUN
ejpam-5008	205	27	-	-	PUNCT
ejpam-5008	205	28	algebras	algebras	PROPN
ejpam-5008	205	29	has	have	AUX
ejpam-5008	205	30	significantly	significantly	ADV
ejpam-5008	205	31	expanded	expand	VERB
ejpam-5008	205	32	traditional	traditional	ADJ
ejpam-5008	205	33	fuzzy	fuzzy	ADJ
ejpam-5008	205	34	set	set	NOUN
ejpam-5008	205	35	theory	theory	NOUN
ejpam-5008	205	36	and	and	CCONJ
ejpam-5008	205	37	algebraic	algebraic	ADJ
ejpam-5008	205	38	structures	structure	NOUN
ejpam-5008	205	39	.	.	PUNCT
ejpam-5008	206	1	we	we	PRON
ejpam-5008	206	2	introduced	introduce	VERB
ejpam-5008	206	3	and	and	CCONJ
ejpam-5008	206	4	thoroughly	thoroughly	ADV
ejpam-5008	206	5	studied	study	VERB
ejpam-5008	206	6	these	these	DET
ejpam-5008	206	7	innovative	innovative	ADJ
ejpam-5008	206	8	ideals	ideal	NOUN
ejpam-5008	206	9	to	to	PART
ejpam-5008	206	10	address	address	VERB
ejpam-5008	206	11	uncertainty	uncertainty	NOUN
ejpam-5008	206	12	and	and	CCONJ
ejpam-5008	206	13	hesitation	hesitation	NOUN
ejpam-5008	206	14	at	at	ADP
ejpam-5008	206	15	multiple	multiple	ADJ
ejpam-5008	206	16	levels	level	NOUN
ejpam-5008	206	17	,	,	PUNCT
ejpam-5008	206	18	thereby	thereby	ADV
ejpam-5008	206	19	providing	provide	VERB
ejpam-5008	206	20	a	a	DET
ejpam-5008	206	21	more	more	ADV
ejpam-5008	206	22	versatile	versatile	ADJ
ejpam-5008	206	23	and	and	CCONJ
ejpam-5008	206	24	realistic	realistic	ADJ
ejpam-5008	206	25	modeling	modeling	NOUN
ejpam-5008	206	26	approach	approach	NOUN
ejpam-5008	206	27	for	for	ADP
ejpam-5008	206	28	real	real	ADJ
ejpam-5008	206	29	-	-	PUNCT
ejpam-5008	206	30	world	world	NOUN
ejpam-5008	206	31	problem	problem	NOUN
ejpam-5008	206	32	-	-	PUNCT
ejpam-5008	206	33	solving	solving	NOUN
ejpam-5008	206	34	.	.	PUNCT
ejpam-5008	207	1	in	in	ADP
ejpam-5008	207	2	this	this	DET
ejpam-5008	207	3	research	research	NOUN
ejpam-5008	207	4	,	,	PUNCT
ejpam-5008	207	5	we	we	PRON
ejpam-5008	207	6	introduced	introduce	VERB
ejpam-5008	207	7	the	the	DET
ejpam-5008	207	8	concept	concept	NOUN
ejpam-5008	207	9	of	of	ADP
ejpam-5008	207	10	multi	multi	ADJ
ejpam-5008	207	11	-	-	ADJ
ejpam-5008	207	12	polar	polar	ADJ
ejpam-5008	207	13	q	q	ADJ
ejpam-5008	207	14	-	-	PUNCT
ejpam-5008	207	15	hesitant	hesitant	ADJ
ejpam-5008	207	16	fuzzy	fuzzy	ADJ
ejpam-5008	207	17	sets	set	NOUN
ejpam-5008	207	18	,	,	PUNCT
ejpam-5008	207	19	extending	extend	VERB
ejpam-5008	207	20	its	its	PRON
ejpam-5008	207	21	application	application	NOUN
ejpam-5008	207	22	to	to	PART
ejpam-5008	207	23	bck	bck	VERB
ejpam-5008	207	24	/	/	SYM
ejpam-5008	207	25	bci	bci	NOUN
ejpam-5008	207	26	-	-	PUNCT
ejpam-5008	207	27	algebras	algebras	ADJ
ejpam-5008	207	28	algebraic	algebraic	ADJ
ejpam-5008	207	29	structures	structure	NOUN
ejpam-5008	207	30	characterized	characterize	VERB
ejpam-5008	207	31	by	by	ADP
ejpam-5008	207	32	binary	binary	ADJ
ejpam-5008	207	33	operations	operation	NOUN
ejpam-5008	207	34	adhering	adhere	VERB
ejpam-5008	207	35	to	to	ADP
ejpam-5008	207	36	specific	specific	ADJ
ejpam-5008	207	37	axioms	axiom	NOUN
ejpam-5008	207	38	.	.	PUNCT
ejpam-5008	208	1	this	this	DET
ejpam-5008	208	2	introduction	introduction	NOUN
ejpam-5008	208	3	paved	pave	VERB
ejpam-5008	208	4	the	the	DET
ejpam-5008	208	5	way	way	NOUN
ejpam-5008	208	6	for	for	ADP
ejpam-5008	208	7	defining	define	VERB
ejpam-5008	208	8	multi	multi	ADJ
ejpam-5008	208	9	-	-	ADJ
ejpam-5008	208	10	polar	polar	ADJ
ejpam-5008	208	11	q	q	ADJ
ejpam-5008	208	12	-	-	PUNCT
ejpam-5008	208	13	hesitant	hesitant	ADJ
ejpam-5008	208	14	fuzzy	fuzzy	ADJ
ejpam-5008	208	15	soft	soft	ADJ
ejpam-5008	208	16	implicative	implicative	ADJ
ejpam-5008	208	17	ideals	ideal	NOUN
ejpam-5008	208	18	,	,	PUNCT
ejpam-5008	208	19	allowing	allow	VERB
ejpam-5008	208	20	us	we	PRON
ejpam-5008	208	21	to	to	PART
ejpam-5008	208	22	capture	capture	VERB
ejpam-5008	208	23	nuanced	nuanced	ADJ
ejpam-5008	208	24	relationships	relationship	NOUN
ejpam-5008	208	25	between	between	ADP
ejpam-5008	208	26	elements	element	NOUN
ejpam-5008	208	27	,	,	PUNCT
ejpam-5008	208	28	incorporating	incorporate	VERB
ejpam-5008	208	29	varying	vary	VERB
ejpam-5008	208	30	degrees	degree	NOUN
ejpam-5008	208	31	of	of	ADP
ejpam-5008	208	32	implication	implication	NOUN
ejpam-5008	208	33	beyond	beyond	ADP
ejpam-5008	208	34	a	a	DET
ejpam-5008	208	35	binary	binary	ADJ
ejpam-5008	208	36	true	true	ADJ
ejpam-5008	208	37	/	/	SYM
ejpam-5008	208	38	false	false	ADJ
ejpam-5008	208	39	distinction	distinction	NOUN
ejpam-5008	208	40	.	.	PUNCT
ejpam-5008	209	1	additionally	additionally	ADV
ejpam-5008	209	2	,	,	PUNCT
ejpam-5008	209	3	we	we	PRON
ejpam-5008	209	4	introduced	introduce	VERB
ejpam-5008	209	5	positive	positive	ADJ
ejpam-5008	209	6	implicative	implicative	ADJ
ejpam-5008	209	7	ideals	ideal	NOUN
ejpam-5008	209	8	,	,	PUNCT
ejpam-5008	209	9	enhancing	enhance	VERB
ejpam-5008	209	10	the	the	DET
ejpam-5008	209	11	traditional	traditional	ADJ
ejpam-5008	209	12	concept	concept	NOUN
ejpam-5008	209	13	of	of	ADP
ejpam-5008	209	14	implications	implication	NOUN
ejpam-5008	209	15	in	in	ADP
ejpam-5008	209	16	bck	bck	PROPN
ejpam-5008	209	17	/	/	SYM
ejpam-5008	209	18	bci	bci	NOUN
ejpam-5008	209	19	-	-	PUNCT
ejpam-5008	209	20	algebras	algebra	VERB
ejpam-5008	209	21	by	by	ADP
ejpam-5008	209	22	incorporating	incorporate	VERB
ejpam-5008	209	23	a	a	DET
ejpam-5008	209	24	positivity	positivity	NOUN
ejpam-5008	209	25	or	or	CCONJ
ejpam-5008	209	26	favorability	favorability	NOUN
ejpam-5008	209	27	factor	factor	NOUN
ejpam-5008	209	28	.	.	PUNCT
ejpam-5008	210	1	this	this	DET
ejpam-5008	210	2	extension	extension	NOUN
ejpam-5008	210	3	enables	enable	VERB
ejpam-5008	210	4	a	a	DET
ejpam-5008	210	5	more	more	ADV
ejpam-5008	210	6	refined	refined	ADJ
ejpam-5008	210	7	analysis	analysis	NOUN
ejpam-5008	210	8	of	of	ADP
ejpam-5008	210	9	implications	implication	NOUN
ejpam-5008	210	10	within	within	ADP
ejpam-5008	210	11	the	the	DET
ejpam-5008	210	12	algebraic	algebraic	ADJ
ejpam-5008	210	13	structure	structure	NOUN
ejpam-5008	210	14	,	,	PUNCT
ejpam-5008	210	15	introducing	introduce	VERB
ejpam-5008	210	16	a	a	DET
ejpam-5008	210	17	preference	preference	NOUN
ejpam-5008	210	18	or	or	CCONJ
ejpam-5008	210	19	desirability	desirability	NOUN
ejpam-5008	210	20	dimension	dimension	NOUN
ejpam-5008	210	21	.	.	PUNCT
ejpam-5008	211	1	our	our	PRON
ejpam-5008	211	2	study	study	NOUN
ejpam-5008	211	3	has	have	AUX
ejpam-5008	211	4	demonstrated	demonstrate	VERB
ejpam-5008	211	5	that	that	SCONJ
ejpam-5008	211	6	exploring	explore	VERB
ejpam-5008	211	7	multipolar	multipolar	ADJ
ejpam-5008	211	8	q	q	ADJ
ejpam-5008	211	9	-	-	PUNCT
ejpam-5008	211	10	hesitant	hesitant	ADJ
ejpam-5008	211	11	fuzzy	fuzzy	ADJ
ejpam-5008	211	12	soft	soft	ADJ
ejpam-5008	211	13	implicative	implicative	ADJ
ejpam-5008	211	14	and	and	CCONJ
ejpam-5008	211	15	positive	positive	ADJ
ejpam-5008	211	16	implicative	implicative	ADJ
ejpam-5008	211	17	ideals	ideal	NOUN
ejpam-5008	211	18	in	in	ADP
ejpam-5008	211	19	bck	bck	PROPN
ejpam-5008	211	20	/	/	SYM
ejpam-5008	211	21	bci	bci	NOUN
ejpam-5008	211	22	-	-	PUNCT
ejpam-5008	211	23	algebras	algebras	PROPN
ejpam-5008	211	24	goes	go	VERB
ejpam-5008	211	25	beyond	beyond	ADP
ejpam-5008	211	26	theoretical	theoretical	ADJ
ejpam-5008	211	27	enrichment	enrichment	NOUN
ejpam-5008	211	28	it	it	PRON
ejpam-5008	211	29	has	have	VERB
ejpam-5008	211	30	practical	practical	ADJ
ejpam-5008	211	31	applications	application	NOUN
ejpam-5008	211	32	in	in	ADP
ejpam-5008	211	33	decision	decision	NOUN
ejpam-5008	211	34	-	-	PUNCT
ejpam-5008	211	35	making	making	NOUN
ejpam-5008	211	36	,	,	PUNCT
ejpam-5008	211	37	expert	expert	NOUN
ejpam-5008	211	38	systems	system	NOUN
ejpam-5008	211	39	,	,	PUNCT
ejpam-5008	211	40	and	and	CCONJ
ejpam-5008	211	41	fuzzy	fuzzy	ADJ
ejpam-5008	211	42	logic	logic	NOUN
ejpam-5008	211	43	.	.	PUNCT
ejpam-5008	212	1	these	these	DET
ejpam-5008	212	2	concepts	concept	NOUN
ejpam-5008	212	3	equip	equip	VERB
ejpam-5008	212	4	us	we	PRON
ejpam-5008	212	5	with	with	ADP
ejpam-5008	212	6	a	a	DET
ejpam-5008	212	7	robust	robust	ADJ
ejpam-5008	212	8	toolset	toolset	NOUN
ejpam-5008	212	9	for	for	ADP
ejpam-5008	212	10	handling	handle	VERB
ejpam-5008	212	11	uncertainty	uncertainty	NOUN
ejpam-5008	212	12	,	,	PUNCT
ejpam-5008	212	13	hesitation	hesitation	NOUN
ejpam-5008	212	14	,	,	PUNCT
ejpam-5008	212	15	and	and	CCONJ
ejpam-5008	212	16	preference	preference	NOUN
ejpam-5008	212	17	in	in	ADP
ejpam-5008	212	18	complex	complex	ADJ
ejpam-5008	212	19	systems	system	NOUN
ejpam-5008	212	20	,	,	PUNCT
ejpam-5008	212	21	enhancing	enhance	VERB
ejpam-5008	212	22	our	our	PRON
ejpam-5008	212	23	capacity	capacity	NOUN
ejpam-5008	212	24	to	to	PART
ejpam-5008	212	25	model	model	VERB
ejpam-5008	212	26	and	and	CCONJ
ejpam-5008	212	27	address	address	VERB
ejpam-5008	212	28	real	real	ADJ
ejpam-5008	212	29	-	-	PUNCT
ejpam-5008	212	30	world	world	NOUN
ejpam-5008	212	31	challenges	challenge	NOUN
ejpam-5008	212	32	.	.	PUNCT
ejpam-5008	213	1	in	in	ADP
ejpam-5008	213	2	summary	summary	NOUN
ejpam-5008	213	3	,	,	PUNCT
ejpam-5008	213	4	we	we	PRON
ejpam-5008	213	5	introduced	introduce	VERB
ejpam-5008	213	6	and	and	CCONJ
ejpam-5008	213	7	studied	study	VERB
ejpam-5008	213	8	the	the	DET
ejpam-5008	213	9	concepts	concept	NOUN
ejpam-5008	213	10	of	of	ADP
ejpam-5008	213	11	multi	multi	ADJ
ejpam-5008	213	12	-	-	ADJ
ejpam-5008	213	13	polar	polar	ADJ
ejpam-5008	213	14	q	q	ADJ
ejpam-5008	213	15	-	-	PUNCT
ejpam-5008	213	16	hesitant	hesitant	ADJ
ejpam-5008	213	17	fuzzy	fuzzy	ADJ
ejpam-5008	213	18	soft	soft	ADJ
ejpam-5008	213	19	implicative	implicative	ADJ
ejpam-5008	213	20	and	and	CCONJ
ejpam-5008	213	21	positive	positive	ADJ
ejpam-5008	213	22	implicative	implicative	ADJ
ejpam-5008	213	23	ideals	ideal	NOUN
ejpam-5008	213	24	in	in	ADP
ejpam-5008	213	25	bck	bck	PROPN
ejpam-5008	213	26	/	/	SYM
ejpam-5008	213	27	bcialgebras	bcialgebra	NOUN
ejpam-5008	213	28	.	.	PUNCT
ejpam-5008	214	1	this	this	DET
ejpam-5008	214	2	research	research	NOUN
ejpam-5008	214	3	contributes	contribute	VERB
ejpam-5008	214	4	to	to	ADP
ejpam-5008	214	5	theoretical	theoretical	ADJ
ejpam-5008	214	6	advancements	advancement	NOUN
ejpam-5008	214	7	and	and	CCONJ
ejpam-5008	214	8	opens	open	VERB
ejpam-5008	214	9	up	up	ADP
ejpam-5008	214	10	new	new	ADJ
ejpam-5008	214	11	avenues	avenue	NOUN
ejpam-5008	214	12	for	for	ADP
ejpam-5008	214	13	improving	improve	VERB
ejpam-5008	214	14	decision	decision	NOUN
ejpam-5008	214	15	-	-	PUNCT
ejpam-5008	214	16	making	make	VERB
ejpam-5008	214	17	processes	process	NOUN
ejpam-5008	214	18	across	across	ADP
ejpam-5008	214	19	various	various	ADJ
ejpam-5008	214	20	domains	domain	NOUN
ejpam-5008	214	21	.	.	PUNCT
ejpam-5008	215	1	268	268	NUM
ejpam-5008	215	2	6	6	NUM
ejpam-5008	215	3	.	.	PUNCT
ejpam-5008	215	4	data	datum	NOUN
ejpam-5008	215	5	availability	availability	NOUN
ejpam-5008	215	6	no	no	DET
ejpam-5008	215	7	data	datum	NOUN
ejpam-5008	215	8	were	be	AUX
ejpam-5008	215	9	used	use	VERB
ejpam-5008	215	10	to	to	PART
ejpam-5008	215	11	support	support	VERB
ejpam-5008	215	12	this	this	DET
ejpam-5008	215	13	study	study	NOUN
ejpam-5008	215	14	.	.	PUNCT
ejpam-5008	216	1	7	7	X
ejpam-5008	216	2	.	.	X
ejpam-5008	216	3	conflicts	conflict	NOUN
ejpam-5008	216	4	of	of	ADP
ejpam-5008	216	5	interest	interest	NOUN
ejpam-5008	216	6	te	te	ADP
ejpam-5008	216	7	authors	author	NOUN
ejpam-5008	216	8	declare	declare	VERB
ejpam-5008	216	9	that	that	SCONJ
ejpam-5008	216	10	there	there	PRON
ejpam-5008	216	11	are	be	VERB
ejpam-5008	216	12	no	no	DET
ejpam-5008	216	13	conficts	confict	NOUN
ejpam-5008	216	14	of	of	ADP
ejpam-5008	216	15	interest	interest	NOUN
ejpam-5008	216	16	.	.	PUNCT
ejpam-5008	217	1	references	reference	NOUN
ejpam-5008	217	2	[	[	X
ejpam-5008	217	3	1	1	NUM
ejpam-5008	217	4	]	]	X
ejpam-5008	217	5	a.al	a.al	PROPN
ejpam-5008	217	6	-	-	NOUN
ejpam-5008	217	7	masarwah	masarwah	NOUN
ejpam-5008	217	8	and	and	CCONJ
ejpam-5008	217	9	a.ahmad	a.ahmad	ADJ
ejpam-5008	217	10	.	.	PUNCT
ejpam-5008	218	1	m	m	ADJ
ejpam-5008	218	2	-	-	ADJ
ejpam-5008	218	3	polar	polar	ADJ
ejpam-5008	218	4	fuzzy	fuzzy	ADJ
ejpam-5008	218	5	ideals	ideal	NOUN
ejpam-5008	218	6	of	of	ADP
ejpam-5008	218	7	bck	bck	PROPN
ejpam-5008	218	8	/	/	SYM
ejpam-5008	218	9	bci	bci	NOUN
ejpam-5008	218	10	-	-	PUNCT
ejpam-5008	218	11	algebras	algebras	PROPN
ejpam-5008	218	12	.	.	PUNCT
ejpam-5008	219	1	journal	journal	PROPN
ejpam-5008	219	2	of	of	ADP
ejpam-5008	219	3	king	king	PROPN
ejpam-5008	219	4	saud	saud	PROPN
ejpam-5008	219	5	university	university	PROPN
ejpam-5008	219	6	,	,	PUNCT
ejpam-5008	219	7	31:1220–1226	31:1220–1226	NUM
ejpam-5008	219	8	,	,	PUNCT
ejpam-5008	219	9	2019	2019	NUM
ejpam-5008	219	10	.	.	PUNCT
ejpam-5008	220	1	[	[	X
ejpam-5008	220	2	2	2	NUM
ejpam-5008	220	3	]	]	PUNCT
ejpam-5008	220	4	halimah	halimah	NOUN
ejpam-5008	220	5	alshehri	alshehri	PROPN
ejpam-5008	220	6	and	and	CCONJ
ejpam-5008	220	7	noura	noura	NOUN
ejpam-5008	220	8	alshehri	alshehri	PROPN
ejpam-5008	220	9	.	.	PUNCT
ejpam-5008	221	1	hesitant	hesitant	ADJ
ejpam-5008	221	2	anti	anti	ADJ
ejpam-5008	221	3	-	-	ADJ
ejpam-5008	221	4	fuzzy	fuzzy	ADJ
ejpam-5008	221	5	soft	soft	ADJ
ejpam-5008	221	6	set	set	NOUN
ejpam-5008	221	7	in	in	ADP
ejpam-5008	221	8	bck	bck	NOUN
ejpam-5008	221	9	-	-	PUNCT
ejpam-5008	221	10	algebras	algebras	PROPN
ejpam-5008	221	11	.	.	PUNCT
ejpam-5008	222	1	hindawim	hindawim	PROPN
ejpam-5008	222	2	mathematical	mathematical	ADJ
ejpam-5008	222	3	problems	problem	NOUN
ejpam-5008	222	4	in	in	ADP
ejpam-5008	222	5	engineering	engineering	NOUN
ejpam-5008	222	6	,	,	PUNCT
ejpam-5008	222	7	page	page	NOUN
ejpam-5008	222	8	13	13	NUM
ejpam-5008	222	9	,	,	PUNCT
ejpam-5008	222	10	2017	2017	NUM
ejpam-5008	222	11	.	.	PUNCT
ejpam-5008	223	1	[	[	X
ejpam-5008	223	2	3	3	X
ejpam-5008	223	3	]	]	X
ejpam-5008	223	4	jun	jun	PROPN
ejpam-5008	223	5	.	.	PROPN
ejpam-5008	223	6	y.	y.	PROPN
ejpam-5008	223	7	b.	b.	PROPN
ejpam-5008	223	8	and	and	CCONJ
ejpam-5008	223	9	ahn	ahn	PROPN
ejpam-5008	223	10	.	.	PUNCT
ejpam-5008	223	11	s.	s.	PROPN
ejpam-5008	223	12	s.	s.	PROPN
ejpam-5008	223	13	hesitant	hesitant	PROPN
ejpam-5008	223	14	fuzzy	fuzzy	ADJ
ejpam-5008	223	15	set	set	NOUN
ejpam-5008	223	16	theory	theory	NOUN
ejpam-5008	223	17	applied	apply	VERB
ejpam-5008	223	18	to	to	PART
ejpam-5008	223	19	bck	bck	VERB
ejpam-5008	223	20	/	/	SYM
ejpam-5008	223	21	bci	bci	NOUN
ejpam-5008	223	22	-	-	PUNCT
ejpam-5008	223	23	algebras	algebras	X
ejpam-5008	223	24	.	.	PUNCT
ejpam-5008	224	1	j.comput	j.comput	NOUN
ejpam-5008	224	2	.	.	PUNCT
ejpam-5008	225	1	anal	anal	PROPN
ejpam-5008	225	2	,	,	PUNCT
ejpam-5008	225	3	20:635–646	20:635–646	PROPN
ejpam-5008	225	4	,	,	PUNCT
ejpam-5008	225	5	2016	2016	NUM
ejpam-5008	225	6	.	.	PUNCT
ejpam-5008	226	1	[	[	X
ejpam-5008	226	2	4	4	NUM
ejpam-5008	226	3	]	]	X
ejpam-5008	226	4	jun	jun	PROPN
ejpam-5008	226	5	.	.	PROPN
ejpam-5008	226	6	y.	y.	PROPN
ejpam-5008	226	7	b.	b.	PROPN
ejpam-5008	226	8	,	,	PUNCT
ejpam-5008	226	9	ahn	ahn	PROPN
ejpam-5008	226	10	.	.	PUNCT
ejpam-5008	226	11	s.	s.	PROPN
ejpam-5008	226	12	s	s	PROPN
ejpam-5008	226	13	,	,	PUNCT
ejpam-5008	226	14	and	and	CCONJ
ejpam-5008	226	15	g.	g.	PROPN
ejpam-5008	226	16	muhiuddan	muhiuddan	PROPN
ejpam-5008	226	17	.	.	PUNCT
ejpam-5008	227	1	hesitant	hesitant	ADJ
ejpam-5008	227	2	fuzzy	fuzzy	ADJ
ejpam-5008	227	3	soft	soft	ADJ
ejpam-5008	227	4	subalgebras	subalgebra	NOUN
ejpam-5008	227	5	and	and	CCONJ
ejpam-5008	227	6	ideals	ideal	NOUN
ejpam-5008	227	7	in	in	ADP
ejpam-5008	227	8	bck	bck	PROPN
ejpam-5008	227	9	/	/	SYM
ejpam-5008	227	10	bci	bci	NOUN
ejpam-5008	227	11	-	-	PUNCT
ejpam-5008	227	12	algebras	algebras	PROPN
ejpam-5008	227	13	.	.	PUNCT
ejpam-5008	228	1	hindawi	hindawi	ADJ
ejpam-5008	228	2	publishing	publishing	PROPN
ejpam-5008	228	3	corporation	corporation	NOUN
ejpam-5008	228	4	,	,	PUNCT
ejpam-5008	228	5	the	the	DET
ejpam-5008	228	6	scientific	scientific	ADJ
ejpam-5008	228	7	world	world	NOUN
ejpam-5008	228	8	journa	journa	PROPN
ejpam-5008	228	9	,	,	PUNCT
ejpam-5008	228	10	1:7	1:7	NUM
ejpam-5008	228	11	,	,	PUNCT
ejpam-5008	228	12	2014	2014	NUM
ejpam-5008	228	13	.	.	PUNCT
ejpam-5008	229	1	[	[	X
ejpam-5008	229	2	5	5	NUM
ejpam-5008	229	3	]	]	PUNCT
ejpam-5008	229	4	chen.j	chen.j	NUM
ejpam-5008	229	5	,	,	PUNCT
ejpam-5008	229	6	li.s	li.s	PROPN
ejpam-5008	229	7	,	,	PUNCT
ejpam-5008	229	8	ma.s	ma.	NOUN
ejpam-5008	229	9	,	,	PUNCT
ejpam-5008	229	10	and	and	CCONJ
ejpam-5008	229	11	wang.x	wang.x	PROPN
ejpam-5008	229	12	.	.	PUNCT
ejpam-5008	230	1	m	m	ADJ
ejpam-5008	230	2	-	-	ADJ
ejpam-5008	230	3	polar	polar	ADJ
ejpam-5008	230	4	fuzzy	fuzzy	ADJ
ejpam-5008	230	5	sets	set	NOUN
ejpam-5008	230	6	:	:	PUNCT
ejpam-5008	230	7	an	an	DET
ejpam-5008	230	8	extension	extension	NOUN
ejpam-5008	230	9	of	of	ADP
ejpam-5008	230	10	bipolar	bipolar	ADJ
ejpam-5008	230	11	fuzzy	fuzzy	ADJ
ejpam-5008	230	12	sets	set	NOUN
ejpam-5008	230	13	.	.	PUNCT
ejpam-5008	231	1	sci	sci	PROPN
ejpam-5008	231	2	.	.	PROPN
ejpam-5008	231	3	world	world	PROPN
ejpam-5008	231	4	j.	j.	PROPN
ejpam-5008	231	5	,	,	PUNCT
ejpam-5008	231	6	8	8	NUM
ejpam-5008	231	7	,	,	PUNCT
ejpam-5008	231	8	2014	2014	NUM
ejpam-5008	231	9	.	.	PUNCT
ejpam-5008	232	1	[	[	X
ejpam-5008	232	2	6	6	NUM
ejpam-5008	232	3	]	]	SYM
ejpam-5008	232	4	d.molodtsov	d.molodtsov	NOUN
ejpam-5008	232	5	.	.	PUNCT
ejpam-5008	232	6	soft	soft	ADJ
ejpam-5008	232	7	set	set	NOUN
ejpam-5008	232	8	theory	theory	NOUN
ejpam-5008	232	9	-	-	PUNCT
ejpam-5008	232	10	first	first	ADJ
ejpam-5008	232	11	results	result	VERB
ejpam-5008	232	12	global	global	ADJ
ejpam-5008	232	13	optimimization	optimimization	NOUN
ejpam-5008	232	14	,	,	PUNCT
ejpam-5008	232	15	contral	contral	NOUN
ejpam-5008	232	16	,	,	PUNCT
ejpam-5008	232	17	and	and	CCONJ
ejpam-5008	232	18	games	game	NOUN
ejpam-5008	232	19	,	,	PUNCT
ejpam-5008	232	20	iii	iii	PROPN
ejpam-5008	232	21	.	.	PUNCT
ejpam-5008	233	1	computers	computer	NOUN
ejpam-5008	233	2	mathematics	mathematic	NOUN
ejpam-5008	233	3	with	with	ADP
ejpam-5008	233	4	applications	application	NOUN
ejpam-5008	233	5	,	,	PUNCT
ejpam-5008	233	6	37(4	37(4	PROPN
ejpam-5008	233	7	-	-	PUNCT
ejpam-5008	233	8	5):19–31	5):19–31	NUM
ejpam-5008	233	9	,	,	PUNCT
ejpam-5008	233	10	1999	1999	NUM
ejpam-5008	233	11	.	.	PUNCT
ejpam-5008	234	1	[	[	X
ejpam-5008	234	2	7	7	X
ejpam-5008	234	3	]	]	X
ejpam-5008	234	4	adam	adam	PROPN
ejpam-5008	234	5	.	.	PUNCT
ejpam-5008	235	1	f	f	PROPN
ejpam-5008	235	2	and	and	CCONJ
ejpam-5008	235	3	hassan	hassan	PROPN
ejpam-5008	235	4	.	.	PUNCT
ejpam-5008	236	1	n.	n.	NOUN
ejpam-5008	236	2	q	q	ADJ
ejpam-5008	236	3	-	-	PUNCT
ejpam-5008	236	4	fuzzy	fuzzy	ADJ
ejpam-5008	236	5	soft	soft	ADJ
ejpam-5008	236	6	set	set	NOUN
ejpam-5008	236	7	.	.	PUNCT
ejpam-5008	237	1	appl.math.sci	appl.math.sci	PROPN
ejpam-5008	237	2	.	.	PROPN
ejpam-5008	237	3	,	,	PUNCT
ejpam-5008	237	4	8:8689–8695	8:8689–8695	NUM
ejpam-5008	237	5	,	,	PUNCT
ejpam-5008	237	6	2014	2014	NUM
ejpam-5008	237	7	.	.	PUNCT
ejpam-5008	238	1	[	[	X
ejpam-5008	238	2	8	8	NUM
ejpam-5008	238	3	]	]	SYM
ejpam-5008	238	4	g.muhiuddin	g.muhiuddin	NOUN
ejpam-5008	238	5	,	,	PUNCT
ejpam-5008	238	6	habib	habib	PROPN
ejpam-5008	238	7	harizavi	harizavi	PROPN
ejpam-5008	238	8	,	,	PUNCT
ejpam-5008	238	9	and	and	CCONJ
ejpam-5008	238	10	young	young	ADJ
ejpam-5008	238	11	bae	bae	PROPN
ejpam-5008	238	12	jun	jun	PROPN
ejpam-5008	238	13	.	.	PROPN
ejpam-5008	238	14	ideal	ideal	PROPN
ejpam-5008	238	15	theory	theory	NOUN
ejpam-5008	238	16	in	in	ADP
ejpam-5008	238	17	bck	bck	PROPN
ejpam-5008	238	18	/	/	SYM
ejpam-5008	238	19	bcialgebras	bcialgebra	NOUN
ejpam-5008	238	20	in	in	ADP
ejpam-5008	238	21	the	the	DET
ejpam-5008	238	22	frame	frame	NOUN
ejpam-5008	238	23	of	of	ADP
ejpam-5008	238	24	hesitant	hesitant	ADJ
ejpam-5008	238	25	fuzzy	fuzzy	ADJ
ejpam-5008	238	26	set	set	NOUN
ejpam-5008	238	27	theory	theory	NOUN
ejpam-5008	238	28	.	.	PUNCT
ejpam-5008	239	1	applications	application	NOUN
ejpam-5008	239	2	and	and	CCONJ
ejpam-5008	239	3	applied	apply	VERB
ejpam-5008	239	4	mathematicsm	mathematicsm	NOUN
ejpam-5008	239	5	,	,	PUNCT
ejpam-5008	239	6	15:337–352	15:337–352	NUM
ejpam-5008	239	7	,	,	PUNCT
ejpam-5008	239	8	2020	2020	NUM
ejpam-5008	239	9	.	.	PUNCT
ejpam-5008	240	1	[	[	X
ejpam-5008	240	2	9	9	NUM
ejpam-5008	240	3	]	]	X
ejpam-5008	240	4	y	y	PROPN
ejpam-5008	240	5	huang	huang	PROPN
ejpam-5008	240	6	.	.	PUNCT
ejpam-5008	241	1	bci	bci	PROPN
ejpam-5008	241	2	-	-	PUNCT
ejpam-5008	241	3	algebras	algebras	PROPN
ejpam-5008	241	4	.	.	PUNCT
ejpam-5008	242	1	science	science	NOUN
ejpam-5008	242	2	press	press	PROPN
ejpam-5008	242	3	:	:	PUNCT
ejpam-5008	242	4	beijing	beijing	PROPN
ejpam-5008	242	5	,	,	PUNCT
ejpam-5008	242	6	china	china	PROPN
ejpam-5008	242	7	.	.	PROPN
ejpam-5008	242	8	,	,	PUNCT
ejpam-5008	242	9	2006	2006	NUM
ejpam-5008	242	10	.	.	PUNCT
ejpam-5008	243	1	[	[	X
ejpam-5008	243	2	10	10	NUM
ejpam-5008	243	3	]	]	X
ejpam-5008	243	4	young	young	ADJ
ejpam-5008	243	5	bae	bae	PROPN
ejpam-5008	243	6	jun	jun	PROPN
ejpam-5008	243	7	and	and	CCONJ
ejpam-5008	243	8	jie	jie	PROPN
ejpam-5008	243	9	meng	meng	PROPN
ejpam-5008	243	10	.	.	PUNCT
ejpam-5008	244	1	fuzzy	fuzzy	ADJ
ejpam-5008	244	2	commutative	commutative	ADJ
ejpam-5008	244	3	ideals	ideal	NOUN
ejpam-5008	244	4	in	in	ADP
ejpam-5008	244	5	bci	bci	NOUN
ejpam-5008	244	6	-	-	PUNCT
ejpam-5008	244	7	algebras	algebras	NOUN
ejpam-5008	244	8	.	.	PUNCT
ejpam-5008	245	1	korean	korean	ADJ
ejpam-5008	245	2	math	math	PROPN
ejpam-5008	245	3	,	,	PUNCT
ejpam-5008	245	4	9(1):19–25	9(1):19–25	NUM
ejpam-5008	245	5	,	,	PUNCT
ejpam-5008	245	6	1994	1994	NUM
ejpam-5008	245	7	.	.	PUNCT
ejpam-5008	246	1	[	[	X
ejpam-5008	246	2	11	11	NUM
ejpam-5008	246	3	]	]	SYM
ejpam-5008	246	4	iséki	iséki	PROPN
ejpam-5008	246	5	.	.	PUNCT
ejpam-5008	246	6	k	k	PROPN
ejpam-5008	246	7	and	and	CCONJ
ejpam-5008	246	8	tanaka	tanaka	PROPN
ejpam-5008	246	9	.	.	PUNCT
ejpam-5008	247	1	s.	s.	PROPN
ejpam-5008	247	2	an	an	DET
ejpam-5008	247	3	introduction	introduction	NOUN
ejpam-5008	247	4	of	of	ADP
ejpam-5008	247	5	the	the	DET
ejpam-5008	247	6	theory	theory	NOUN
ejpam-5008	247	7	of	of	ADP
ejpam-5008	247	8	bck	bck	PROPN
ejpam-5008	247	9	-	-	PUNCT
ejpam-5008	247	10	algebras	algebras	PROPN
ejpam-5008	247	11	.	.	PUNCT
ejpam-5008	247	12	math	math	PROPN
ejpam-5008	247	13	.	.	PUNCT
ejpam-5008	248	1	jpn	jpn	PROPN
ejpam-5008	248	2	.	.	PROPN
ejpam-5008	248	3	,	,	PUNCT
ejpam-5008	248	4	23:1–26	23:1–26	NUM
ejpam-5008	248	5	,	,	PUNCT
ejpam-5008	248	6	1978	1978	NUM
ejpam-5008	248	7	.	.	PUNCT
ejpam-5008	249	1	[	[	X
ejpam-5008	249	2	12	12	NUM
ejpam-5008	249	3	]	]	PUNCT
ejpam-5008	249	4	alsager	alsager	NOUN
ejpam-5008	249	5	.	.	PUNCT
ejpam-5008	250	1	k.m	k.m	PROPN
ejpam-5008	250	2	,	,	PUNCT
ejpam-5008	250	3	alshehri.n.o	alshehri.n.o	PROPN
ejpam-5008	250	4	.	.	PROPN
ejpam-5008	250	5	,	,	PUNCT
ejpam-5008	250	6	and	and	CCONJ
ejpam-5008	250	7	akram	akram	PROPN
ejpam-5008	250	8	.	.	PUNCT
ejpam-5008	251	1	m.	m.	NOUN
ejpam-5008	251	2	a	a	DET
ejpam-5008	251	3	decision	decision	NOUN
ejpam-5008	251	4	-	-	PUNCT
ejpam-5008	251	5	making	make	VERB
ejpam-5008	251	6	approach	approach	NOUN
ejpam-5008	251	7	based	base	VERB
ejpam-5008	251	8	on	on	ADP
ejpam-5008	251	9	a	a	DET
ejpam-5008	251	10	multi	multi	ADJ
ejpam-5008	251	11	q	q	ADJ
ejpam-5008	251	12	-	-	ADJ
ejpam-5008	251	13	hesitant	hesitant	ADJ
ejpam-5008	251	14	fuzzy	fuzzy	ADJ
ejpam-5008	251	15	soft	soft	ADJ
ejpam-5008	251	16	multi	multi	ADJ
ejpam-5008	251	17	-	-	ADJ
ejpam-5008	251	18	granulation	granulation	ADJ
ejpam-5008	251	19	rough	rough	ADJ
ejpam-5008	251	20	model	model	NOUN
ejpam-5008	251	21	.	.	PUNCT
ejpam-5008	252	1	symmetry	symmetry	NOUN
ejpam-5008	252	2	,	,	PUNCT
ejpam-5008	252	3	10:711	10:711	NUM
ejpam-5008	252	4	,	,	PUNCT
ejpam-5008	252	5	2018	2018	NUM
ejpam-5008	252	6	.	.	PUNCT
ejpam-5008	253	1	[	[	X
ejpam-5008	253	2	13	13	NUM
ejpam-5008	253	3	]	]	X
ejpam-5008	253	4	k.v.babitha	k.v.babitha	NOUN
ejpam-5008	253	5	and	and	CCONJ
ejpam-5008	253	6	s.j.john	s.j.john	PROPN
ejpam-5008	253	7	.	.	PUNCT
ejpam-5008	254	1	hesitant	hesitant	ADJ
ejpam-5008	254	2	fuzzy	fuzzy	ADJ
ejpam-5008	254	3	soft	soft	ADJ
ejpam-5008	254	4	sets	set	NOUN
ejpam-5008	254	5	.	.	PUNCT
ejpam-5008	255	1	journal	journal	NOUN
ejpam-5008	255	2	of	of	ADP
ejpam-5008	255	3	new	new	ADJ
ejpam-5008	255	4	results	result	NOUN
ejpam-5008	255	5	in	in	ADP
ejpam-5008	255	6	science	science	NOUN
ejpam-5008	255	7	,	,	PUNCT
ejpam-5008	255	8	3:98–107	3:98–107	NUM
ejpam-5008	255	9	,	,	PUNCT
ejpam-5008	255	10	2013	2013	NUM
ejpam-5008	255	11	.	.	PUNCT
ejpam-5008	256	1	references	reference	NOUN
ejpam-5008	256	2	269	269	NUM
ejpam-5008	256	3	[	[	SYM
ejpam-5008	256	4	14	14	NUM
ejpam-5008	256	5	]	]	PUNCT
ejpam-5008	256	6	l.a.zadah	l.a.zadah	PROPN
ejpam-5008	256	7	.	.	PUNCT
ejpam-5008	257	1	fuzzy	fuzzy	ADJ
ejpam-5008	257	2	set	set	PROPN
ejpam-5008	257	3	.	.	PUNCT
ejpam-5008	258	1	information	information	NOUN
ejpam-5008	258	2	and	and	CCONJ
ejpam-5008	258	3	control	control	NOUN
ejpam-5008	258	4	,	,	PUNCT
ejpam-5008	258	5	8:338–353	8:338–353	NUM
ejpam-5008	258	6	,	,	PUNCT
ejpam-5008	258	7	1965	1965	NUM
ejpam-5008	258	8	.	.	PUNCT
ejpam-5008	259	1	[	[	X
ejpam-5008	259	2	15	15	NUM
ejpam-5008	259	3	]	]	X
ejpam-5008	259	4	y.b	y.b	PROPN
ejpam-5008	259	5	meng	meng	PROPN
ejpam-5008	259	6	,	,	PUNCT
ejpam-5008	259	7	j.jun	j.jun	PROPN
ejpam-5008	259	8	.	.	PUNCT
ejpam-5008	259	9	bck	bck	PROPN
ejpam-5008	259	10	-	-	PUNCT
ejpam-5008	259	11	algebras	algebras	PROPN
ejpam-5008	259	12	.	.	PUNCT
ejpam-5008	259	13	kyungmoonsa	kyungmoonsa	PROPN
ejpam-5008	259	14	co.	co.	PROPN
ejpam-5008	259	15	:	:	PUNCT
ejpam-5008	259	16	seoul	seoul	PROPN
ejpam-5008	259	17	,	,	PUNCT
ejpam-5008	259	18	korea	korea	PROPN
ejpam-5008	259	19	.	.	PROPN
ejpam-5008	259	20	,	,	PUNCT
ejpam-5008	259	21	1994	1994	NUM
ejpam-5008	259	22	.	.	PUNCT
ejpam-5008	260	1	[	[	X
ejpam-5008	260	2	16	16	NUM
ejpam-5008	260	3	]	]	SYM
ejpam-5008	260	4	p.k.maji	p.k.maji	PROPN
ejpam-5008	260	5	,	,	PUNCT
ejpam-5008	260	6	r.biswas	r.biswa	VERB
ejpam-5008	260	7	,	,	PUNCT
ejpam-5008	260	8	and	and	CCONJ
ejpam-5008	260	9	a.r.roy	a.r.roy	PROPN
ejpam-5008	260	10	.	.	PUNCT
ejpam-5008	260	11	soft	soft	ADJ
ejpam-5008	260	12	set	set	NOUN
ejpam-5008	260	13	theory	theory	NOUN
ejpam-5008	260	14	.	.	PUNCT
ejpam-5008	261	1	computers	computer	NOUN
ejpam-5008	261	2	mathematics	mathematic	NOUN
ejpam-5008	261	3	with	with	ADP
ejpam-5008	261	4	applications	application	NOUN
ejpam-5008	261	5	,	,	PUNCT
ejpam-5008	261	6	45(4	45(4	NOUN
ejpam-5008	261	7	-	-	PUNCT
ejpam-5008	261	8	5):555–562	5):555–562	NUM
ejpam-5008	261	9	,	,	PUNCT
ejpam-5008	261	10	2003	2003	NUM
ejpam-5008	261	11	.	.	PUNCT
ejpam-5008	262	1	[	[	X
ejpam-5008	262	2	17	17	NUM
ejpam-5008	262	3	]	]	X
ejpam-5008	262	4	seok	seok	PROPN
ejpam-5008	262	5	-	-	PUNCT
ejpam-5008	262	6	zun	zun	PROPN
ejpam-5008	262	7	song	song	NOUN
ejpam-5008	262	8	,	,	PUNCT
ejpam-5008	262	9	hashem	hashem	PROPN
ejpam-5008	262	10	bordbar	bordbar	NOUN
ejpam-5008	262	11	,	,	PUNCT
ejpam-5008	262	12	and	and	CCONJ
ejpam-5008	262	13	young	young	ADJ
ejpam-5008	262	14	bae	bae	PROPN
ejpam-5008	262	15	jun	jun	PROPN
ejpam-5008	262	16	.	.	PROPN
ejpam-5008	263	1	a	a	DET
ejpam-5008	263	2	new	new	ADJ
ejpam-5008	263	3	type	type	NOUN
ejpam-5008	263	4	of	of	ADP
ejpam-5008	263	5	hesitant	hesitant	ADJ
ejpam-5008	263	6	fuzzy	fuzzy	ADJ
ejpam-5008	263	7	subalgebras	subalgebra	NOUN
ejpam-5008	263	8	and	and	CCONJ
ejpam-5008	263	9	ideals	ideal	NOUN
ejpam-5008	263	10	in	in	ADP
ejpam-5008	263	11	bck	bck	PROPN
ejpam-5008	263	12	/	/	SYM
ejpam-5008	263	13	bci	bci	NOUN
ejpam-5008	263	14	-	-	PUNCT
ejpam-5008	263	15	algebras	algebras	PROPN
ejpam-5008	263	16	.	.	PUNCT
ejpam-5008	263	17	journal	journal	PROPN
ejpam-5008	263	18	of	of	ADP
ejpam-5008	263	19	intellingent	intellingent	ADJ
ejpam-5008	263	20	and	and	CCONJ
ejpam-5008	263	21	fuzzy	fuzzy	ADJ
ejpam-5008	263	22	systems	system	NOUN
ejpam-5008	263	23	,	,	PUNCT
ejpam-5008	263	24	32:2009–2016	32:2009–2016	NUM
ejpam-5008	263	25	,	,	PUNCT
ejpam-5008	263	26	2017	2017	NUM
ejpam-5008	263	27	.	.	PUNCT
ejpam-5008	264	1	[	[	X
ejpam-5008	264	2	18	18	NUM
ejpam-5008	264	3	]	]	SYM
ejpam-5008	264	4	v	v	X
ejpam-5008	264	5	torra	torra	NOUN
ejpam-5008	264	6	.	.	PUNCT
ejpam-5008	265	1	hesitant	hesitant	ADJ
ejpam-5008	265	2	fuzzy	fuzzy	ADJ
ejpam-5008	265	3	sets	set	NOUN
ejpam-5008	265	4	.	.	PUNCT
ejpam-5008	266	1	intell	intell	PROPN
ejpam-5008	266	2	.	.	PUNCT
ejpam-5008	267	1	syset	syset	PROPN
ejpam-5008	267	2	,	,	PUNCT
ejpam-5008	267	3	25(6):529–539	25(6):529–539	NOUN
ejpam-5008	267	4	,	,	PUNCT
ejpam-5008	267	5	2010	2010	NUM
ejpam-5008	267	6	.	.	PUNCT
ejpam-5008	268	1	[	[	X
ejpam-5008	268	2	19	19	NUM
ejpam-5008	268	3	]	]	X
ejpam-5008	268	4	zhang	zhang	PROPN
ejpam-5008	268	5	x.h	x.h	PROPN
ejpam-5008	268	6	,	,	PUNCT
ejpam-5008	268	7	hao	hao	PROPN
ejpam-5008	268	8	.	.	PUNCT
ejpam-5008	268	9	j.	j.	PROPN
ejpam-5008	268	10	,	,	PUNCT
ejpam-5008	268	11	and	and	CCONJ
ejpam-5008	268	12	bhatti	bhatti	NOUN
ejpam-5008	268	13	.	.	PUNCT
ejpam-5008	269	1	on	on	ADP
ejpam-5008	269	2	p	p	NOUN
ejpam-5008	269	3	-	-	PUNCT
ejpam-5008	269	4	ideal	ideal	NOUN
ejpam-5008	269	5	of	of	ADP
ejpam-5008	269	6	a	a	DET
ejpam-5008	269	7	bci	bci	NOUN
ejpam-5008	269	8	-	-	NOUN
ejpam-5008	269	9	algebra	algebra	NOUN
ejpam-5008	269	10	.	.	PUNCT
ejpam-5008	270	1	punjab	punjab	PROPN
ejpam-5008	270	2	univ	univ	PROPN
ejpam-5008	270	3	.	.	PUNCT
ejpam-5008	271	1	j.math	j.math	PROPN
ejpam-5008	271	2	,	,	PUNCT
ejpam-5008	271	3	27:121–128	27:121–128	NUM
ejpam-5008	271	4	,	,	PUNCT
ejpam-5008	271	5	1994	1994	NUM
ejpam-5008	271	6	.	.	PUNCT