id	sid	tid	token	lemma	pos
ejpam-5344	1	1	european	european	PROPN
ejpam-5344	1	2	journal	journal	PROPN
ejpam-5344	1	3	of	of	ADP
ejpam-5344	1	4	pure	pure	ADJ
ejpam-5344	1	5	and	and	CCONJ
ejpam-5344	1	6	applied	apply	VERB
ejpam-5344	1	7	mathematics	mathematic	NOUN
ejpam-5344	1	8	vol	vol	NOUN
ejpam-5344	1	9	.	.	PROPN
ejpam-5344	2	1	17	17	NUM
ejpam-5344	2	2	,	,	PUNCT
ejpam-5344	2	3	no	no	INTJ
ejpam-5344	2	4	.	.	NOUN
ejpam-5344	2	5	3	3	NUM
ejpam-5344	2	6	,	,	PUNCT
ejpam-5344	2	7	2024	2024	NUM
ejpam-5344	2	8	,	,	PUNCT
ejpam-5344	2	9	2221	2221	NUM
ejpam-5344	2	10	-	-	SYM
ejpam-5344	2	11	2234	2234	NUM
ejpam-5344	2	12	issn	issn	PROPN
ejpam-5344	2	13	1307	1307	NUM
ejpam-5344	2	14	-	-	SYM
ejpam-5344	2	15	5543	5543	NUM
ejpam-5344	2	16	–	–	PUNCT
ejpam-5344	3	1	ejpam.com	ejpam.com	X
ejpam-5344	3	2	published	publish	VERB
ejpam-5344	3	3	by	by	ADP
ejpam-5344	3	4	new	new	PROPN
ejpam-5344	3	5	york	york	PROPN
ejpam-5344	3	6	business	business	PROPN
ejpam-5344	3	7	global	global	PROPN
ejpam-5344	3	8	on	on	ADP
ejpam-5344	3	9	intuitionistic	intuitionistic	ADJ
ejpam-5344	3	10	fuzzy	fuzzy	ADJ
ejpam-5344	3	11	implicative	implicative	ADJ
ejpam-5344	3	12	hyper	hyper	ADJ
ejpam-5344	3	13	gr	gr	NOUN
ejpam-5344	3	14	-	-	PUNCT
ejpam-5344	3	15	ideals	ideal	NOUN
ejpam-5344	3	16	amila	amila	PROPN
ejpam-5344	3	17	p.	p.	NOUN
ejpam-5344	3	18	macodi1,∗	macodi1,∗	NOUN
ejpam-5344	3	19	,	,	PUNCT
ejpam-5344	3	20	archie	archie	PROPN
ejpam-5344	3	21	g.	g.	PROPN
ejpam-5344	3	22	dorig2	dorig2	PROPN
ejpam-5344	3	23	1	1	NUM
ejpam-5344	3	24	mathematics	mathematics	PROPN
ejpam-5344	3	25	department	department	NOUN
ejpam-5344	3	26	,	,	PUNCT
ejpam-5344	3	27	faculty	faculty	NOUN
ejpam-5344	3	28	,	,	PUNCT
ejpam-5344	3	29	mindanao	mindanao	PROPN
ejpam-5344	3	30	state	state	PROPN
ejpam-5344	3	31	university	university	PROPN
ejpam-5344	3	32	,	,	PUNCT
ejpam-5344	3	33	marawi	marawi	PROPN
ejpam-5344	3	34	city	city	PROPN
ejpam-5344	3	35	,	,	PUNCT
ejpam-5344	3	36	lanao	lanao	PROPN
ejpam-5344	3	37	del	del	PROPN
ejpam-5344	3	38	sur	sur	PROPN
ejpam-5344	3	39	,	,	PUNCT
ejpam-5344	3	40	philippines	philippines	PROPN
ejpam-5344	3	41	2	2	NUM
ejpam-5344	3	42	department	department	NOUN
ejpam-5344	3	43	of	of	ADP
ejpam-5344	3	44	fisheries	fishery	NOUN
ejpam-5344	3	45	,	,	PUNCT
ejpam-5344	3	46	marine	marine	ADJ
ejpam-5344	3	47	biology	biology	NOUN
ejpam-5344	3	48	and	and	CCONJ
ejpam-5344	3	49	environmental	environmental	ADJ
ejpam-5344	3	50	sciences	science	NOUN
ejpam-5344	3	51	,	,	PUNCT
ejpam-5344	3	52	faculty	faculty	NOUN
ejpam-5344	3	53	,	,	PUNCT
ejpam-5344	3	54	north	north	ADJ
ejpam-5344	3	55	eastern	eastern	ADJ
ejpam-5344	3	56	mindanao	mindanao	PROPN
ejpam-5344	3	57	state	state	PROPN
ejpam-5344	3	58	university	university	PROPN
ejpam-5344	3	59	lianga	lianga	PROPN
ejpam-5344	3	60	campus	campus	NOUN
ejpam-5344	3	61	,	,	PUNCT
ejpam-5344	3	62	lianga	lianga	ADV
ejpam-5344	3	63	,	,	PUNCT
ejpam-5344	3	64	surigao	surigao	PROPN
ejpam-5344	3	65	del	del	PROPN
ejpam-5344	3	66	sur	sur	PROPN
ejpam-5344	3	67	,	,	PUNCT
ejpam-5344	3	68	philippines	philippine	NOUN
ejpam-5344	3	69	abstract	abstract	ADJ
ejpam-5344	3	70	.	.	PUNCT
ejpam-5344	4	1	the	the	DET
ejpam-5344	4	2	influx	influx	NOUN
ejpam-5344	4	3	of	of	ADP
ejpam-5344	4	4	research	research	NOUN
ejpam-5344	4	5	on	on	ADP
ejpam-5344	4	6	hyperstructure	hyperstructure	NOUN
ejpam-5344	4	7	theory	theory	NOUN
ejpam-5344	4	8	has	have	AUX
ejpam-5344	4	9	encouraged	encourage	VERB
ejpam-5344	4	10	many	many	ADJ
ejpam-5344	4	11	researchers	researcher	NOUN
ejpam-5344	4	12	to	to	PART
ejpam-5344	4	13	introduce	introduce	VERB
ejpam-5344	4	14	new	new	ADJ
ejpam-5344	4	15	algebras	algebra	NOUN
ejpam-5344	4	16	.	.	PUNCT
ejpam-5344	5	1	notable	notable	ADJ
ejpam-5344	5	2	among	among	ADP
ejpam-5344	5	3	these	these	PRON
ejpam-5344	5	4	is	be	AUX
ejpam-5344	5	5	the	the	DET
ejpam-5344	5	6	work	work	NOUN
ejpam-5344	5	7	of	of	ADP
ejpam-5344	5	8	indangan	indangan	NOUN
ejpam-5344	5	9	and	and	CCONJ
ejpam-5344	5	10	petalcorin	petalcorin	NOUN
ejpam-5344	5	11	[	[	X
ejpam-5344	5	12	5	5	NUM
ejpam-5344	5	13	]	]	PUNCT
ejpam-5344	5	14	who	who	PRON
ejpam-5344	5	15	introduced	introduce	VERB
ejpam-5344	5	16	hyper	hyper	ADJ
ejpam-5344	5	17	gr	gr	NOUN
ejpam-5344	5	18	-	-	PUNCT
ejpam-5344	5	19	algebras	algebra	NOUN
ejpam-5344	5	20	and	and	CCONJ
ejpam-5344	5	21	that	that	PRON
ejpam-5344	5	22	of	of	ADP
ejpam-5344	5	23	macodi	macodi	NOUN
ejpam-5344	5	24	and	and	CCONJ
ejpam-5344	5	25	petalcorin	petalcorin	NOUN
ejpam-5344	5	26	[	[	X
ejpam-5344	5	27	12	12	NUM
ejpam-5344	5	28	]	]	PUNCT
ejpam-5344	5	29	who	who	PRON
ejpam-5344	5	30	studied	study	VERB
ejpam-5344	5	31	a	a	DET
ejpam-5344	5	32	fuzzification	fuzzification	NOUN
ejpam-5344	5	33	of	of	ADP
ejpam-5344	5	34	hyper	hyper	ADJ
ejpam-5344	5	35	gr	gr	NOUN
ejpam-5344	5	36	-	-	PUNCT
ejpam-5344	5	37	algebras	algebras	NOUN
ejpam-5344	5	38	.	.	PUNCT
ejpam-5344	6	1	macodi	macodi	NOUN
ejpam-5344	6	2	extended	extend	VERB
ejpam-5344	6	3	the	the	DET
ejpam-5344	6	4	fuzzification	fuzzification	NOUN
ejpam-5344	6	5	of	of	ADP
ejpam-5344	6	6	hyper	hyper	ADJ
ejpam-5344	6	7	gr	gr	NOUN
ejpam-5344	6	8	-	-	PUNCT
ejpam-5344	6	9	algebras	algebras	NOUN
ejpam-5344	6	10	into	into	ADP
ejpam-5344	6	11	intuitionistic	intuitionistic	ADJ
ejpam-5344	6	12	fuzzification	fuzzification	NOUN
ejpam-5344	6	13	and	and	CCONJ
ejpam-5344	6	14	introduced	introduce	VERB
ejpam-5344	6	15	the	the	DET
ejpam-5344	6	16	concept	concept	NOUN
ejpam-5344	6	17	of	of	ADP
ejpam-5344	6	18	an	an	DET
ejpam-5344	6	19	intuitionistic	intuitionistic	ADJ
ejpam-5344	6	20	fuzzy	fuzzy	ADJ
ejpam-5344	6	21	hyper	hyper	ADJ
ejpam-5344	6	22	gr	gr	NOUN
ejpam-5344	6	23	-	-	PUNCT
ejpam-5344	6	24	ideals	ideal	NOUN
ejpam-5344	6	25	[	[	X
ejpam-5344	6	26	13	13	NUM
ejpam-5344	6	27	]	]	PUNCT
ejpam-5344	6	28	.	.	PUNCT
ejpam-5344	7	1	following	follow	VERB
ejpam-5344	7	2	the	the	DET
ejpam-5344	7	3	works	work	NOUN
ejpam-5344	7	4	of	of	ADP
ejpam-5344	7	5	macodi	macodi	NOUN
ejpam-5344	7	6	and	and	CCONJ
ejpam-5344	7	7	petalcorin	petalcorin	NOUN
ejpam-5344	7	8	,	,	PUNCT
ejpam-5344	7	9	this	this	DET
ejpam-5344	7	10	paper	paper	NOUN
ejpam-5344	7	11	established	establish	VERB
ejpam-5344	7	12	an	an	DET
ejpam-5344	7	13	intuitionistic	intuitionistic	ADJ
ejpam-5344	7	14	fuzzy	fuzzy	ADJ
ejpam-5344	7	15	implicative	implicative	ADJ
ejpam-5344	7	16	hyper	hyper	ADJ
ejpam-5344	7	17	gr	gr	NOUN
ejpam-5344	7	18	-	-	PUNCT
ejpam-5344	7	19	ideals	ideal	NOUN
ejpam-5344	7	20	and	and	CCONJ
ejpam-5344	7	21	obtained	obtain	VERB
ejpam-5344	7	22	their	their	PRON
ejpam-5344	7	23	characterization	characterization	NOUN
ejpam-5344	7	24	using	use	VERB
ejpam-5344	7	25	level	level	NOUN
ejpam-5344	7	26	subsets	subset	NOUN
ejpam-5344	7	27	.	.	PUNCT
ejpam-5344	8	1	moreover	moreover	ADV
ejpam-5344	8	2	,	,	PUNCT
ejpam-5344	8	3	some	some	DET
ejpam-5344	8	4	properties	property	NOUN
ejpam-5344	8	5	of	of	ADP
ejpam-5344	8	6	intuitionistic	intuitionistic	ADJ
ejpam-5344	8	7	fuzzy	fuzzy	ADJ
ejpam-5344	8	8	implicative	implicative	ADJ
ejpam-5344	8	9	hyper	hyper	ADJ
ejpam-5344	8	10	gr	gr	NOUN
ejpam-5344	8	11	-	-	PUNCT
ejpam-5344	8	12	ideals	ideal	NOUN
ejpam-5344	8	13	are	be	AUX
ejpam-5344	8	14	presented	present	VERB
ejpam-5344	8	15	.	.	PUNCT
ejpam-5344	9	1	2020	2020	NUM
ejpam-5344	9	2	mathematics	mathematic	NOUN
ejpam-5344	9	3	subject	subject	NOUN
ejpam-5344	9	4	classifications	classification	NOUN
ejpam-5344	9	5	:	:	PUNCT
ejpam-5344	9	6	20n20	20n20	NUM
ejpam-5344	9	7	,	,	PUNCT
ejpam-5344	9	8	06f35	06f35	NUM
ejpam-5344	9	9	,	,	PUNCT
ejpam-5344	9	10	03g25	03g25	NUM
ejpam-5344	9	11	,	,	PUNCT
ejpam-5344	9	12	03e72	03e72	NUM
ejpam-5344	9	13	,	,	PUNCT
ejpam-5344	9	14	03b52	03b52	NUM
ejpam-5344	9	15	,	,	PUNCT
ejpam-5344	9	16	08a72	08a72	NOUN
ejpam-5344	9	17	key	key	ADJ
ejpam-5344	9	18	words	word	NOUN
ejpam-5344	9	19	and	and	CCONJ
ejpam-5344	9	20	phrases	phrase	NOUN
ejpam-5344	9	21	:	:	PUNCT
ejpam-5344	9	22	hyper	hyper	ADJ
ejpam-5344	9	23	gr	gr	NOUN
ejpam-5344	9	24	-	-	PUNCT
ejpam-5344	9	25	algebras	algebra	NOUN
ejpam-5344	9	26	,	,	PUNCT
ejpam-5344	9	27	implicative	implicative	ADJ
ejpam-5344	9	28	hyper	hyper	ADJ
ejpam-5344	9	29	gr	gr	NOUN
ejpam-5344	9	30	-	-	PUNCT
ejpam-5344	9	31	ideals	ideal	NOUN
ejpam-5344	9	32	,	,	PUNCT
ejpam-5344	9	33	fuzzy	fuzzy	ADJ
ejpam-5344	9	34	implicative	implicative	ADJ
ejpam-5344	9	35	hyper	hyper	ADJ
ejpam-5344	9	36	gr	gr	NOUN
ejpam-5344	9	37	-	-	PUNCT
ejpam-5344	9	38	ideals	ideal	NOUN
ejpam-5344	9	39	,	,	PUNCT
ejpam-5344	9	40	intuitionistic	intuitionistic	ADJ
ejpam-5344	9	41	fuzzy	fuzzy	ADJ
ejpam-5344	9	42	implicative	implicative	ADJ
ejpam-5344	9	43	hyper	hyper	ADJ
ejpam-5344	9	44	gr	gr	NOUN
ejpam-5344	9	45	-	-	PUNCT
ejpam-5344	9	46	ideals	ideal	NOUN
ejpam-5344	9	47	1	1	NUM
ejpam-5344	9	48	.	.	PUNCT
ejpam-5344	10	1	introduction	introduction	NOUN
ejpam-5344	10	2	hyperstructure	hyperstructure	PROPN
ejpam-5344	10	3	theory	theory	NOUN
ejpam-5344	10	4	,	,	PUNCT
ejpam-5344	10	5	also	also	ADV
ejpam-5344	10	6	called	call	VERB
ejpam-5344	10	7	multi	multi	NOUN
ejpam-5344	10	8	-	-	VERB
ejpam-5344	10	9	algebras	algebras	X
ejpam-5344	10	10	,	,	PUNCT
ejpam-5344	10	11	was	be	AUX
ejpam-5344	10	12	introduced	introduce	VERB
ejpam-5344	10	13	in	in	ADP
ejpam-5344	10	14	1934	1934	NUM
ejpam-5344	10	15	by	by	ADP
ejpam-5344	10	16	marty	marty	PROPN
ejpam-5344	11	1	[	[	X
ejpam-5344	11	2	14	14	NUM
ejpam-5344	11	3	]	]	PUNCT
ejpam-5344	11	4	at	at	ADP
ejpam-5344	11	5	the	the	DET
ejpam-5344	11	6	8th	8th	ADJ
ejpam-5344	11	7	congress	congress	PROPN
ejpam-5344	11	8	of	of	ADP
ejpam-5344	11	9	scandinavian	scandinavian	ADJ
ejpam-5344	11	10	mathematicians	mathematician	NOUN
ejpam-5344	11	11	.	.	PUNCT
ejpam-5344	12	1	hyperstructures	hyperstructure	NOUN
ejpam-5344	12	2	have	have	VERB
ejpam-5344	12	3	many	many	ADJ
ejpam-5344	12	4	applications	application	NOUN
ejpam-5344	12	5	in	in	ADP
ejpam-5344	12	6	several	several	ADJ
ejpam-5344	12	7	sectors	sector	NOUN
ejpam-5344	12	8	of	of	ADP
ejpam-5344	12	9	both	both	CCONJ
ejpam-5344	12	10	pure	pure	ADJ
ejpam-5344	12	11	and	and	CCONJ
ejpam-5344	12	12	applied	applied	ADJ
ejpam-5344	12	13	sciences	science	NOUN
ejpam-5344	12	14	.	.	PUNCT
ejpam-5344	13	1	it	it	PRON
ejpam-5344	13	2	is	be	AUX
ejpam-5344	13	3	for	for	ADP
ejpam-5344	13	4	this	this	DET
ejpam-5344	13	5	reason	reason	NOUN
ejpam-5344	13	6	that	that	SCONJ
ejpam-5344	13	7	many	many	ADJ
ejpam-5344	13	8	researchers	researcher	NOUN
ejpam-5344	13	9	work	work	VERB
ejpam-5344	13	10	on	on	ADP
ejpam-5344	13	11	this	this	DET
ejpam-5344	13	12	subject	subject	NOUN
ejpam-5344	13	13	.	.	PUNCT
ejpam-5344	14	1	jun	jun	PROPN
ejpam-5344	14	2	,	,	PUNCT
ejpam-5344	14	3	et	et	PROPN
ejpam-5344	14	4	al	al	PROPN
ejpam-5344	14	5	.	.	PUNCT
ejpam-5344	15	1	[	[	X
ejpam-5344	15	2	20	20	NUM
ejpam-5344	15	3	]	]	PUNCT
ejpam-5344	15	4	applied	apply	VERB
ejpam-5344	15	5	the	the	DET
ejpam-5344	15	6	hyperstructures	hyperstructure	NOUN
ejpam-5344	15	7	to	to	PART
ejpam-5344	15	8	bck	bck	VERB
ejpam-5344	15	9	-	-	PUNCT
ejpam-5344	15	10	algebras	algebras	PROPN
ejpam-5344	15	11	and	and	CCONJ
ejpam-5344	15	12	introduced	introduce	VERB
ejpam-5344	15	13	the	the	DET
ejpam-5344	15	14	concept	concept	NOUN
ejpam-5344	15	15	of	of	ADP
ejpam-5344	15	16	generalizing	generalize	VERB
ejpam-5344	15	17	a	a	DET
ejpam-5344	15	18	bck	bck	NOUN
ejpam-5344	15	19	-	-	PUNCT
ejpam-5344	15	20	algebra	algebra	NOUN
ejpam-5344	15	21	into	into	ADP
ejpam-5344	15	22	a	a	DET
ejpam-5344	15	23	hyper	hyper	ADJ
ejpam-5344	15	24	bck	bck	NOUN
ejpam-5344	15	25	-	-	PUNCT
ejpam-5344	15	26	algebra	algebra	NOUN
ejpam-5344	15	27	.	.	PUNCT
ejpam-5344	16	1	they	they	PRON
ejpam-5344	16	2	also	also	ADV
ejpam-5344	16	3	investigated	investigate	VERB
ejpam-5344	16	4	some	some	DET
ejpam-5344	16	5	properties	property	NOUN
ejpam-5344	16	6	of	of	ADP
ejpam-5344	16	7	hyper	hyper	ADJ
ejpam-5344	16	8	bck	bck	NOUN
ejpam-5344	16	9	-	-	PUNCT
ejpam-5344	16	10	algebra	algebra	NOUN
ejpam-5344	16	11	.	.	PUNCT
ejpam-5344	17	1	after	after	ADP
ejpam-5344	17	2	the	the	DET
ejpam-5344	17	3	introduction	introduction	NOUN
ejpam-5344	17	4	of	of	ADP
ejpam-5344	17	5	the	the	DET
ejpam-5344	17	6	concept	concept	NOUN
ejpam-5344	17	7	of	of	ADP
ejpam-5344	17	8	hyper	hyper	ADJ
ejpam-5344	17	9	bck	bck	NOUN
ejpam-5344	17	10	-	-	PUNCT
ejpam-5344	17	11	algebras	algebra	NOUN
ejpam-5344	17	12	,	,	PUNCT
ejpam-5344	17	13	several	several	ADJ
ejpam-5344	17	14	studies	study	NOUN
ejpam-5344	17	15	were	be	AUX
ejpam-5344	17	16	conducted	conduct	VERB
ejpam-5344	17	17	.	.	PUNCT
ejpam-5344	18	1	amongst	amongst	ADP
ejpam-5344	18	2	these	these	DET
ejpam-5344	18	3	studies	study	NOUN
ejpam-5344	18	4	,	,	PUNCT
ejpam-5344	18	5	the	the	DET
ejpam-5344	18	6	most	most	ADV
ejpam-5344	18	7	notable	notable	ADJ
ejpam-5344	19	1	are	be	AUX
ejpam-5344	19	2	those	those	PRON
ejpam-5344	19	3	made	make	VERB
ejpam-5344	19	4	by	by	ADP
ejpam-5344	19	5	jun	jun	PROPN
ejpam-5344	19	6	and	and	CCONJ
ejpam-5344	19	7	long	long	ADJ
ejpam-5344	19	8	[	[	X
ejpam-5344	19	9	7	7	NUM
ejpam-5344	19	10	]	]	PUNCT
ejpam-5344	19	11	,	,	PUNCT
ejpam-5344	19	12	jun	jun	PROPN
ejpam-5344	19	13	and	and	CCONJ
ejpam-5344	19	14	shim	shim	NOUN
ejpam-5344	19	15	[	[	X
ejpam-5344	19	16	8	8	NUM
ejpam-5344	19	17	]	]	PUNCT
ejpam-5344	19	18	,	,	PUNCT
ejpam-5344	19	19	borzooei	borzooei	PROPN
ejpam-5344	19	20	and	and	CCONJ
ejpam-5344	19	21	bakhsi	bakhsi	NOUN
ejpam-5344	19	22	[	[	X
ejpam-5344	19	23	2	2	NUM
ejpam-5344	19	24	]	]	PUNCT
ejpam-5344	19	25	,	,	PUNCT
ejpam-5344	19	26	borzooei	borzooei	PROPN
ejpam-5344	19	27	and	and	CCONJ
ejpam-5344	19	28	jun	jun	PROPN
ejpam-5344	19	29	[	[	X
ejpam-5344	19	30	3	3	NUM
ejpam-5344	19	31	]	]	PUNCT
ejpam-5344	19	32	,	,	PUNCT
ejpam-5344	19	33	and	and	CCONJ
ejpam-5344	19	34	jun	jun	PROPN
ejpam-5344	19	35	and	and	CCONJ
ejpam-5344	19	36	song	song	NOUN
ejpam-5344	19	37	[	[	X
ejpam-5344	19	38	9	9	NUM
ejpam-5344	19	39	]	]	PUNCT
ejpam-5344	19	40	.	.	PUNCT
ejpam-5344	20	1	based	base	VERB
ejpam-5344	20	2	on	on	ADP
ejpam-5344	20	3	this	this	DET
ejpam-5344	20	4	hyperstructure	hyperstructure	NOUN
ejpam-5344	20	5	,	,	PUNCT
ejpam-5344	20	6	indangan	indangan	NOUN
ejpam-5344	20	7	and	and	CCONJ
ejpam-5344	20	8	petalcorin	petalcorin	NOUN
ejpam-5344	20	9	[	[	X
ejpam-5344	20	10	5	5	NUM
ejpam-5344	20	11	,	,	PUNCT
ejpam-5344	20	12	6	6	NUM
ejpam-5344	20	13	]	]	PUNCT
ejpam-5344	20	14	introduced	introduce	VERB
ejpam-5344	20	15	a	a	DET
ejpam-5344	20	16	new	new	ADJ
ejpam-5344	20	17	hyperstructure	hyperstructure	NOUN
ejpam-5344	20	18	which	which	PRON
ejpam-5344	20	19	is	be	AUX
ejpam-5344	20	20	called	call	VERB
ejpam-5344	20	21	a	a	DET
ejpam-5344	20	22	hyper	hyper	ADJ
ejpam-5344	20	23	gr	gr	NOUN
ejpam-5344	20	24	-	-	NOUN
ejpam-5344	20	25	algebra	algebra	NOUN
ejpam-5344	20	26	.	.	PUNCT
ejpam-5344	21	1	they	they	PRON
ejpam-5344	21	2	established	establish	VERB
ejpam-5344	21	3	some	some	DET
ejpam-5344	21	4	results	result	NOUN
ejpam-5344	21	5	on	on	ADP
ejpam-5344	21	6	∗corresponding	∗corresponde	VERB
ejpam-5344	21	7	author	author	NOUN
ejpam-5344	21	8	.	.	PUNCT
ejpam-5344	22	1	doi	doi	NOUN
ejpam-5344	22	2	:	:	PUNCT
ejpam-5344	22	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5344	https://doi.org/10.29020/nybg.ejpam.v17i3.5344	PROPN
ejpam-5344	22	4	email	email	NOUN
ejpam-5344	22	5	addresses	address	NOUN
ejpam-5344	22	6	:	:	PUNCT
ejpam-5344	23	1	amila.macodi@msumain.edu.ph	amila.macodi@msumain.edu.ph	PROPN
ejpam-5344	23	2	(	(	PUNCT
ejpam-5344	23	3	a.	a.	NOUN
ejpam-5344	23	4	macodi	macodi	PROPN
ejpam-5344	23	5	)	)	PUNCT
ejpam-5344	23	6	,	,	PUNCT
ejpam-5344	23	7	archie.dorig@msumain.edu.ph	archie.dorig@msumain.edu.ph	PROPN
ejpam-5344	23	8	(	(	PUNCT
ejpam-5344	23	9	a.	a.	NOUN
ejpam-5344	23	10	dorig	dorig	PROPN
ejpam-5344	23	11	)	)	PUNCT
ejpam-5344	23	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5344	23	13	2221	2221	NUM
ejpam-5344	24	1	©	©	ADP
ejpam-5344	24	2	2024	2024	NUM
ejpam-5344	24	3	ejpam	ejpam	NOUN
ejpam-5344	24	4	all	all	DET
ejpam-5344	24	5	rights	right	NOUN
ejpam-5344	24	6	reserved	reserve	VERB
ejpam-5344	24	7	.	.	PUNCT
ejpam-5344	25	1	a.	a.	NOUN
ejpam-5344	25	2	macodi	macodi	PROPN
ejpam-5344	25	3	,	,	PUNCT
ejpam-5344	25	4	a.	a.	NOUN
ejpam-5344	25	5	dorig	dorig	PROPN
ejpam-5344	25	6	/	/	SYM
ejpam-5344	25	7	eur	eur	PROPN
ejpam-5344	25	8	.	.	PUNCT
ejpam-5344	26	1	j.	j.	PROPN
ejpam-5344	26	2	pure	pure	PROPN
ejpam-5344	26	3	appl	appl	PROPN
ejpam-5344	26	4	.	.	PROPN
ejpam-5344	26	5	math	math	PROPN
ejpam-5344	26	6	,	,	PUNCT
ejpam-5344	26	7	17	17	NUM
ejpam-5344	26	8	(	(	PUNCT
ejpam-5344	26	9	3	3	NUM
ejpam-5344	26	10	)	)	PUNCT
ejpam-5344	26	11	(	(	PUNCT
ejpam-5344	26	12	2024	2024	NUM
ejpam-5344	26	13	)	)	PUNCT
ejpam-5344	26	14	,	,	PUNCT
ejpam-5344	26	15	2221	2221	NUM
ejpam-5344	26	16	-	-	SYM
ejpam-5344	26	17	2234	2234	NUM
ejpam-5344	26	18	2222	2222	NUM
ejpam-5344	26	19	hyper	hyper	ADJ
ejpam-5344	26	20	gr	gr	NOUN
ejpam-5344	26	21	-	-	PUNCT
ejpam-5344	26	22	ideals	ideal	NOUN
ejpam-5344	26	23	of	of	ADP
ejpam-5344	26	24	a	a	DET
ejpam-5344	26	25	hyper	hyper	ADJ
ejpam-5344	26	26	gr	gr	NOUN
ejpam-5344	26	27	-	-	PUNCT
ejpam-5344	26	28	algebra	algebra	NOUN
ejpam-5344	26	29	and	and	CCONJ
ejpam-5344	26	30	some	some	DET
ejpam-5344	26	31	hyper	hyper	ADJ
ejpam-5344	26	32	homomorphic	homomorphic	ADJ
ejpam-5344	26	33	properties	property	NOUN
ejpam-5344	26	34	of	of	ADP
ejpam-5344	26	35	hyper	hyper	ADJ
ejpam-5344	26	36	gr	gr	NOUN
ejpam-5344	26	37	-	-	PUNCT
ejpam-5344	26	38	algebras	algebras	NOUN
ejpam-5344	26	39	.	.	PUNCT
ejpam-5344	27	1	in	in	ADP
ejpam-5344	27	2	2019	2019	NUM
ejpam-5344	27	3	,	,	PUNCT
ejpam-5344	27	4	macodi	macodi	NOUN
ejpam-5344	27	5	and	and	CCONJ
ejpam-5344	27	6	petalcorin	petalcorin	NOUN
ejpam-5344	27	7	[	[	X
ejpam-5344	27	8	12	12	NUM
ejpam-5344	27	9	]	]	PUNCT
ejpam-5344	27	10	published	publish	VERB
ejpam-5344	27	11	some	some	DET
ejpam-5344	27	12	results	result	NOUN
ejpam-5344	27	13	on	on	ADP
ejpam-5344	27	14	fuzzy	fuzzy	ADJ
ejpam-5344	27	15	implicative	implicative	ADJ
ejpam-5344	27	16	hyper	hyper	ADJ
ejpam-5344	27	17	gr	gr	NOUN
ejpam-5344	27	18	-	-	PUNCT
ejpam-5344	27	19	ideals	ideal	NOUN
ejpam-5344	27	20	of	of	ADP
ejpam-5344	27	21	hyper	hyper	ADJ
ejpam-5344	27	22	gr	gr	NOUN
ejpam-5344	27	23	-	-	PUNCT
ejpam-5344	27	24	algebras	algebras	NOUN
ejpam-5344	27	25	.	.	PUNCT
ejpam-5344	28	1	they	they	PRON
ejpam-5344	28	2	obtained	obtain	VERB
ejpam-5344	28	3	more	more	ADJ
ejpam-5344	28	4	results	result	NOUN
ejpam-5344	28	5	on	on	ADP
ejpam-5344	28	6	fuzzy	fuzzy	ADJ
ejpam-5344	28	7	structures	structure	NOUN
ejpam-5344	28	8	in	in	ADP
ejpam-5344	28	9	hyper	hyper	ADJ
ejpam-5344	28	10	gr	gr	NOUN
ejpam-5344	28	11	-	-	PUNCT
ejpam-5344	28	12	algebras	algebras	NOUN
ejpam-5344	29	1	[	[	X
ejpam-5344	29	2	11	11	NUM
ejpam-5344	29	3	]	]	PUNCT
ejpam-5344	29	4	and	and	CCONJ
ejpam-5344	29	5	also	also	ADV
ejpam-5344	29	6	established	establish	VERB
ejpam-5344	29	7	intuitionistic	intuitionistic	ADJ
ejpam-5344	29	8	fuzzy	fuzzy	ADJ
ejpam-5344	29	9	hyper	hyper	ADJ
ejpam-5344	29	10	gr	gr	NOUN
ejpam-5344	29	11	-	-	PUNCT
ejpam-5344	29	12	ideals	ideal	NOUN
ejpam-5344	29	13	in	in	ADP
ejpam-5344	29	14	hyper	hyper	ADJ
ejpam-5344	29	15	gr	gr	NOUN
ejpam-5344	29	16	-	-	PUNCT
ejpam-5344	29	17	algebras	algebras	NOUN
ejpam-5344	30	1	[	[	X
ejpam-5344	30	2	13	13	NUM
ejpam-5344	30	3	]	]	PUNCT
ejpam-5344	30	4	.	.	PUNCT
ejpam-5344	31	1	the	the	DET
ejpam-5344	31	2	concept	concept	NOUN
ejpam-5344	31	3	of	of	ADP
ejpam-5344	31	4	intuitionistic	intuitionistic	ADJ
ejpam-5344	31	5	fuzzy	fuzzy	ADJ
ejpam-5344	31	6	sets	set	NOUN
ejpam-5344	31	7	was	be	AUX
ejpam-5344	31	8	developed	develop	VERB
ejpam-5344	31	9	by	by	ADP
ejpam-5344	31	10	atanassov	atanassov	NOUN
ejpam-5344	31	11	[	[	X
ejpam-5344	31	12	1	1	NUM
ejpam-5344	31	13	]	]	PUNCT
ejpam-5344	31	14	as	as	ADP
ejpam-5344	31	15	an	an	DET
ejpam-5344	31	16	extension	extension	NOUN
ejpam-5344	31	17	of	of	ADP
ejpam-5344	31	18	zadeh	zadeh	PROPN
ejpam-5344	31	19	’s	’s	PART
ejpam-5344	31	20	fuzzy	fuzzy	ADJ
ejpam-5344	31	21	set	set	NOUN
ejpam-5344	31	22	[	[	X
ejpam-5344	31	23	21	21	NUM
ejpam-5344	31	24	]	]	PUNCT
ejpam-5344	31	25	.	.	PUNCT
ejpam-5344	32	1	a	a	DET
ejpam-5344	32	2	prominent	prominent	ADJ
ejpam-5344	32	3	characteristic	characteristic	NOUN
ejpam-5344	32	4	of	of	ADP
ejpam-5344	32	5	intuitionistic	intuitionistic	ADJ
ejpam-5344	32	6	fuzzy	fuzzy	ADJ
ejpam-5344	32	7	sets	set	NOUN
ejpam-5344	32	8	is	be	AUX
ejpam-5344	32	9	that	that	SCONJ
ejpam-5344	32	10	they	they	PRON
ejpam-5344	32	11	assign	assign	VERB
ejpam-5344	32	12	to	to	ADP
ejpam-5344	32	13	each	each	DET
ejpam-5344	32	14	element	element	NOUN
ejpam-5344	32	15	a	a	DET
ejpam-5344	32	16	membership	membership	NOUN
ejpam-5344	32	17	degree	degree	NOUN
ejpam-5344	32	18	and	and	CCONJ
ejpam-5344	32	19	a	a	DET
ejpam-5344	32	20	non	non	ADJ
ejpam-5344	32	21	-	-	ADJ
ejpam-5344	32	22	membership	membership	ADJ
ejpam-5344	32	23	degree	degree	NOUN
ejpam-5344	32	24	.	.	PUNCT
ejpam-5344	33	1	intutionistic	intutionistic	ADJ
ejpam-5344	33	2	fuzzy	fuzzy	ADJ
ejpam-5344	33	3	set	set	NOUN
ejpam-5344	33	4	theory	theory	NOUN
ejpam-5344	33	5	basically	basically	ADV
ejpam-5344	33	6	defies	defy	VERB
ejpam-5344	33	7	the	the	DET
ejpam-5344	33	8	claim	claim	NOUN
ejpam-5344	33	9	that	that	SCONJ
ejpam-5344	33	10	an	an	DET
ejpam-5344	33	11	element	element	NOUN
ejpam-5344	33	12	x	x	PUNCT
ejpam-5344	33	13	belongs	belong	VERB
ejpam-5344	33	14	to	to	ADP
ejpam-5344	33	15	a	a	DET
ejpam-5344	33	16	given	give	VERB
ejpam-5344	33	17	degree	degree	NOUN
ejpam-5344	33	18	say	say	VERB
ejpam-5344	33	19	µ(x	µ(x	NOUN
ejpam-5344	33	20	)	)	PUNCT
ejpam-5344	33	21	to	to	ADP
ejpam-5344	33	22	a	a	DET
ejpam-5344	33	23	fuzzy	fuzzy	ADJ
ejpam-5344	33	24	set	set	NOUN
ejpam-5344	33	25	a	a	PRON
ejpam-5344	33	26	,	,	PUNCT
ejpam-5344	33	27	it	it	PRON
ejpam-5344	33	28	naturally	naturally	ADV
ejpam-5344	33	29	follows	follow	VERB
ejpam-5344	33	30	that	that	SCONJ
ejpam-5344	33	31	x	x	PRON
ejpam-5344	33	32	should	should	AUX
ejpam-5344	33	33	not	not	PART
ejpam-5344	33	34	belong	belong	VERB
ejpam-5344	33	35	to	to	ADP
ejpam-5344	33	36	a	a	PRON
ejpam-5344	33	37	to	to	ADP
ejpam-5344	33	38	the	the	DET
ejpam-5344	33	39	extent	extent	NOUN
ejpam-5344	33	40	1	1	NUM
ejpam-5344	33	41	−	−	NOUN
ejpam-5344	33	42	µ(x	µ(x	NOUN
ejpam-5344	33	43	)	)	PUNCT
ejpam-5344	33	44	.	.	PUNCT
ejpam-5344	34	1	consequently	consequently	ADV
ejpam-5344	34	2	,	,	PUNCT
ejpam-5344	34	3	many	many	ADJ
ejpam-5344	34	4	authors	author	NOUN
ejpam-5344	34	5	have	have	AUX
ejpam-5344	34	6	paid	pay	VERB
ejpam-5344	34	7	attention	attention	NOUN
ejpam-5344	34	8	to	to	ADP
ejpam-5344	34	9	the	the	DET
ejpam-5344	34	10	intuitionistic	intuitionistic	ADJ
ejpam-5344	34	11	fuzzy	fuzzy	ADJ
ejpam-5344	34	12	set	set	NOUN
ejpam-5344	34	13	theory	theory	NOUN
ejpam-5344	34	14	since	since	SCONJ
ejpam-5344	34	15	it	it	PRON
ejpam-5344	34	16	has	have	AUX
ejpam-5344	34	17	been	be	AUX
ejpam-5344	34	18	successfully	successfully	ADV
ejpam-5344	34	19	applied	apply	VERB
ejpam-5344	34	20	in	in	ADP
ejpam-5344	34	21	different	different	ADJ
ejpam-5344	34	22	areas	area	NOUN
ejpam-5344	34	23	,	,	PUNCT
ejpam-5344	34	24	such	such	ADJ
ejpam-5344	34	25	as	as	ADP
ejpam-5344	34	26	logic	logic	NOUN
ejpam-5344	34	27	programming	programming	NOUN
ejpam-5344	34	28	[	[	X
ejpam-5344	34	29	10	10	NUM
ejpam-5344	34	30	]	]	PUNCT
ejpam-5344	34	31	,	,	PUNCT
ejpam-5344	34	32	decision	decision	NOUN
ejpam-5344	34	33	making	make	VERB
ejpam-5344	34	34	problems	problem	NOUN
ejpam-5344	34	35	[	[	X
ejpam-5344	34	36	4	4	X
ejpam-5344	34	37	]	]	PUNCT
ejpam-5344	34	38	and	and	CCONJ
ejpam-5344	34	39	medical	medical	ADJ
ejpam-5344	34	40	diagnosis	diagnosis	NOUN
ejpam-5344	34	41	[	[	X
ejpam-5344	34	42	15	15	NUM
ejpam-5344	34	43	]	]	PUNCT
ejpam-5344	34	44	,	,	PUNCT
ejpam-5344	34	45	to	to	PART
ejpam-5344	34	46	name	name	VERB
ejpam-5344	34	47	a	a	DET
ejpam-5344	34	48	few	few	ADJ
ejpam-5344	34	49	,	,	PUNCT
ejpam-5344	34	50	and	and	CCONJ
ejpam-5344	34	51	related	related	ADJ
ejpam-5344	34	52	studies	study	NOUN
ejpam-5344	34	53	are	be	AUX
ejpam-5344	34	54	made	make	VERB
ejpam-5344	34	55	in	in	ADP
ejpam-5344	34	56	[	[	X
ejpam-5344	34	57	17	17	NUM
ejpam-5344	34	58	,	,	PUNCT
ejpam-5344	34	59	18	18	NUM
ejpam-5344	34	60	]	]	PUNCT
ejpam-5344	34	61	.	.	PUNCT
ejpam-5344	35	1	the	the	DET
ejpam-5344	35	2	concept	concept	NOUN
ejpam-5344	35	3	is	be	AUX
ejpam-5344	35	4	also	also	ADV
ejpam-5344	35	5	applied	apply	VERB
ejpam-5344	35	6	in	in	ADP
ejpam-5344	35	7	various	various	ADJ
ejpam-5344	35	8	applications	application	NOUN
ejpam-5344	35	9	,	,	PUNCT
ejpam-5344	35	10	such	such	ADJ
ejpam-5344	35	11	as	as	ADP
ejpam-5344	35	12	intuitionistic	intuitionistic	ADJ
ejpam-5344	35	13	fuzzy	fuzzy	ADJ
ejpam-5344	35	14	neural	neural	ADJ
ejpam-5344	35	15	networks	network	NOUN
ejpam-5344	35	16	,	,	PUNCT
ejpam-5344	35	17	intuitionistic	intuitionistic	ADJ
ejpam-5344	35	18	fuzzy	fuzzy	ADJ
ejpam-5344	35	19	decision	decision	NOUN
ejpam-5344	35	20	making	making	NOUN
ejpam-5344	35	21	,	,	PUNCT
ejpam-5344	35	22	intuitionistic	intuitionistic	ADJ
ejpam-5344	35	23	fuzzy	fuzzy	ADJ
ejpam-5344	35	24	machine	machine	NOUN
ejpam-5344	35	25	learning	learning	NOUN
ejpam-5344	35	26	,	,	PUNCT
ejpam-5344	35	27	and	and	CCONJ
ejpam-5344	35	28	intuitionistic	intuitionistic	ADJ
ejpam-5344	35	29	fuzzy	fuzzy	ADJ
ejpam-5344	35	30	semantic	semantic	ADJ
ejpam-5344	35	31	representations	representation	NOUN
ejpam-5344	35	32	[	[	X
ejpam-5344	35	33	19	19	NUM
ejpam-5344	35	34	]	]	PUNCT
ejpam-5344	35	35	.	.	PUNCT
ejpam-5344	36	1	recently	recently	ADV
ejpam-5344	36	2	,	,	PUNCT
ejpam-5344	36	3	many	many	ADJ
ejpam-5344	36	4	researchers	researcher	NOUN
ejpam-5344	36	5	have	have	AUX
ejpam-5344	36	6	applied	apply	VERB
ejpam-5344	36	7	intuitionistic	intuitionistic	ADJ
ejpam-5344	36	8	fuzzy	fuzzy	ADJ
ejpam-5344	36	9	sets	set	NOUN
ejpam-5344	36	10	to	to	ADP
ejpam-5344	36	11	hyper	hyper	ADJ
ejpam-5344	36	12	algebras	algebra	NOUN
ejpam-5344	36	13	such	such	ADJ
ejpam-5344	36	14	as	as	ADP
ejpam-5344	36	15	hyper	hyper	ADJ
ejpam-5344	36	16	bck	bck	NOUN
ejpam-5344	36	17	-	-	PUNCT
ejpam-5344	36	18	algebra	algebra	NOUN
ejpam-5344	36	19	[	[	X
ejpam-5344	36	20	3	3	NUM
ejpam-5344	36	21	]	]	PUNCT
ejpam-5344	36	22	,	,	PUNCT
ejpam-5344	36	23	bci	bci	NOUN
ejpam-5344	36	24	-	-	NOUN
ejpam-5344	36	25	algebra	algebra	NOUN
ejpam-5344	36	26	[	[	X
ejpam-5344	36	27	16	16	NUM
ejpam-5344	36	28	]	]	PUNCT
ejpam-5344	36	29	and	and	CCONJ
ejpam-5344	36	30	hyper	hyper	ADJ
ejpam-5344	36	31	gr	gr	NOUN
ejpam-5344	36	32	-	-	PUNCT
ejpam-5344	36	33	algebra	algebra	NOUN
ejpam-5344	36	34	[	[	X
ejpam-5344	36	35	13	13	NUM
ejpam-5344	36	36	]	]	PUNCT
ejpam-5344	36	37	.	.	PUNCT
ejpam-5344	37	1	this	this	DET
ejpam-5344	37	2	paper	paper	NOUN
ejpam-5344	37	3	is	be	AUX
ejpam-5344	37	4	particularly	particularly	ADV
ejpam-5344	37	5	interested	interested	ADJ
ejpam-5344	37	6	in	in	ADP
ejpam-5344	37	7	the	the	DET
ejpam-5344	37	8	concept	concept	NOUN
ejpam-5344	37	9	of	of	ADP
ejpam-5344	37	10	intuitionistic	intuitionistic	ADJ
ejpam-5344	37	11	fuzzy	fuzzy	ADJ
ejpam-5344	37	12	sets	set	NOUN
ejpam-5344	37	13	applied	apply	VERB
ejpam-5344	37	14	to	to	ADP
ejpam-5344	37	15	implicative	implicative	ADJ
ejpam-5344	37	16	hyper	hyper	ADJ
ejpam-5344	37	17	gr	gr	NOUN
ejpam-5344	37	18	-	-	PUNCT
ejpam-5344	37	19	ideal	ideal	NOUN
ejpam-5344	37	20	of	of	ADP
ejpam-5344	37	21	hyper	hyper	ADJ
ejpam-5344	37	22	gr	gr	NOUN
ejpam-5344	37	23	-	-	PUNCT
ejpam-5344	37	24	algebra	algebra	NOUN
ejpam-5344	37	25	.	.	PUNCT
ejpam-5344	38	1	the	the	DET
ejpam-5344	38	2	definition	definition	NOUN
ejpam-5344	38	3	of	of	ADP
ejpam-5344	38	4	intuitionistic	intuitionistic	ADJ
ejpam-5344	38	5	fuzzy	fuzzy	ADJ
ejpam-5344	38	6	implicative	implicative	ADJ
ejpam-5344	38	7	hyper	hyper	ADJ
ejpam-5344	38	8	gr	gr	NOUN
ejpam-5344	38	9	-	-	PUNCT
ejpam-5344	38	10	ideal	ideal	NOUN
ejpam-5344	38	11	is	be	AUX
ejpam-5344	38	12	somewhat	somewhat	ADV
ejpam-5344	38	13	parallel	parallel	ADJ
ejpam-5344	38	14	with	with	ADP
ejpam-5344	38	15	the	the	DET
ejpam-5344	38	16	definition	definition	NOUN
ejpam-5344	38	17	of	of	ADP
ejpam-5344	38	18	intuitionistic	intuitionistic	ADJ
ejpam-5344	38	19	fuzzy	fuzzy	ADJ
ejpam-5344	38	20	hyper	hyper	ADJ
ejpam-5344	38	21	gr	gr	NOUN
ejpam-5344	38	22	-	-	PUNCT
ejpam-5344	38	23	ideal	ideal	NOUN
ejpam-5344	38	24	which	which	PRON
ejpam-5344	38	25	was	be	AUX
ejpam-5344	38	26	introduced	introduce	VERB
ejpam-5344	38	27	by	by	ADP
ejpam-5344	38	28	macodi	macodi	NOUN
ejpam-5344	38	29	[	[	X
ejpam-5344	38	30	13	13	NUM
ejpam-5344	38	31	]	]	PUNCT
ejpam-5344	38	32	.	.	PUNCT
ejpam-5344	39	1	2	2	X
ejpam-5344	39	2	.	.	X
ejpam-5344	39	3	prelimenaries	prelimenarie	NOUN
ejpam-5344	39	4	this	this	DET
ejpam-5344	39	5	section	section	NOUN
ejpam-5344	39	6	presents	present	VERB
ejpam-5344	39	7	some	some	DET
ejpam-5344	39	8	preliminary	preliminary	ADJ
ejpam-5344	39	9	concepts	concept	NOUN
ejpam-5344	39	10	and	and	CCONJ
ejpam-5344	39	11	known	know	VERB
ejpam-5344	39	12	properties	property	NOUN
ejpam-5344	39	13	that	that	PRON
ejpam-5344	39	14	are	be	AUX
ejpam-5344	39	15	needed	need	VERB
ejpam-5344	39	16	in	in	ADP
ejpam-5344	39	17	this	this	DET
ejpam-5344	39	18	study	study	NOUN
ejpam-5344	39	19	.	.	PUNCT
ejpam-5344	40	1	definition	definition	NOUN
ejpam-5344	40	2	1	1	NUM
ejpam-5344	40	3	.	.	PUNCT
ejpam-5344	41	1	[	[	X
ejpam-5344	41	2	5	5	X
ejpam-5344	41	3	]	]	PUNCT
ejpam-5344	41	4	let	let	VERB
ejpam-5344	41	5	h	h	NOUN
ejpam-5344	41	6	be	be	AUX
ejpam-5344	41	7	a	a	DET
ejpam-5344	41	8	nonempty	nonempty	ADV
ejpam-5344	41	9	set	set	VERB
ejpam-5344	41	10	and	and	CCONJ
ejpam-5344	41	11	⊛	⊛	NUM
ejpam-5344	41	12	be	be	VERB
ejpam-5344	41	13	a	a	DET
ejpam-5344	41	14	hyperoperation	hyperoperation	NOUN
ejpam-5344	41	15	on	on	ADP
ejpam-5344	41	16	h.	h.	PROPN
ejpam-5344	41	17	then	then	ADV
ejpam-5344	41	18	(	(	PUNCT
ejpam-5344	41	19	h;⊛	h;⊛	NUM
ejpam-5344	41	20	,	,	PUNCT
ejpam-5344	41	21	0	0	NUM
ejpam-5344	41	22	)	)	PUNCT
ejpam-5344	41	23	is	be	AUX
ejpam-5344	41	24	called	call	VERB
ejpam-5344	41	25	a	a	DET
ejpam-5344	41	26	hyper	hyper	ADJ
ejpam-5344	41	27	gr	gr	NOUN
ejpam-5344	41	28	-	-	PUNCT
ejpam-5344	41	29	algebra	algebra	NOUN
ejpam-5344	41	30	if	if	SCONJ
ejpam-5344	41	31	0	0	NUM
ejpam-5344	41	32	∈	∈	PROPN
ejpam-5344	41	33	h	h	NOUN
ejpam-5344	41	34	and	and	CCONJ
ejpam-5344	41	35	if	if	SCONJ
ejpam-5344	41	36	for	for	ADP
ejpam-5344	41	37	all	all	DET
ejpam-5344	41	38	x	x	NOUN
ejpam-5344	41	39	,	,	PUNCT
ejpam-5344	41	40	y	y	PROPN
ejpam-5344	41	41	,	,	PUNCT
ejpam-5344	41	42	z	z	PROPN
ejpam-5344	41	43	∈	∈	PROPN
ejpam-5344	41	44	h	h	NOUN
ejpam-5344	41	45	,	,	PUNCT
ejpam-5344	41	46	the	the	DET
ejpam-5344	41	47	following	follow	VERB
ejpam-5344	41	48	conditions	condition	NOUN
ejpam-5344	41	49	are	be	AUX
ejpam-5344	41	50	satisfied	satisfied	ADJ
ejpam-5344	41	51	:	:	PUNCT
ejpam-5344	41	52	(	(	PUNCT
ejpam-5344	41	53	i	i	NOUN
ejpam-5344	41	54	)	)	PUNCT
ejpam-5344	41	55	(	(	PUNCT
ejpam-5344	41	56	x⊛	x⊛	PROPN
ejpam-5344	41	57	z)⊛	z)⊛	PROPN
ejpam-5344	41	58	(	(	PUNCT
ejpam-5344	41	59	y	y	PROPN
ejpam-5344	41	60	⊛	⊛	PROPN
ejpam-5344	41	61	z	z	PROPN
ejpam-5344	41	62	)	)	PUNCT
ejpam-5344	41	63	≪	≪	PUNCT
ejpam-5344	41	64	x⊛	x⊛	PROPN
ejpam-5344	41	65	y	y	NOUN
ejpam-5344	41	66	;	;	PUNCT
ejpam-5344	42	1	[	[	X
ejpam-5344	42	2	hgr1	hgr1	X
ejpam-5344	42	3	]	]	X
ejpam-5344	42	4	(	(	PUNCT
ejpam-5344	42	5	ii	ii	NOUN
ejpam-5344	42	6	)	)	PUNCT
ejpam-5344	42	7	(	(	PUNCT
ejpam-5344	42	8	x⊛	x⊛	PROPN
ejpam-5344	43	1	y)⊛	y)⊛	NOUN
ejpam-5344	43	2	z	z	NOUN
ejpam-5344	43	3	=	=	SYM
ejpam-5344	43	4	(	(	PUNCT
ejpam-5344	43	5	x⊛	x⊛	PROPN
ejpam-5344	43	6	z)⊛	z)⊛	PROPN
ejpam-5344	43	7	y	y	NOUN
ejpam-5344	43	8	;	;	PUNCT
ejpam-5344	43	9	[	[	X
ejpam-5344	43	10	hgr2	hgr2	NOUN
ejpam-5344	43	11	]	]	X
ejpam-5344	43	12	(	(	PUNCT
ejpam-5344	43	13	iii	iii	NOUN
ejpam-5344	43	14	)	)	PUNCT
ejpam-5344	43	15	x	x	PUNCT
ejpam-5344	43	16	≪	≪	VERB
ejpam-5344	43	17	x	x	X
ejpam-5344	43	18	;	;	PUNCT
ejpam-5344	43	19	[	[	X
ejpam-5344	43	20	hgr3	hgr3	X
ejpam-5344	43	21	]	]	X
ejpam-5344	43	22	(	(	PUNCT
ejpam-5344	43	23	iv	iv	X
ejpam-5344	43	24	)	)	PUNCT
ejpam-5344	43	25	0⊛	0⊛	NUM
ejpam-5344	43	26	(	(	PUNCT
ejpam-5344	43	27	0⊛	0⊛	NUM
ejpam-5344	43	28	x	x	NOUN
ejpam-5344	43	29	)	)	PUNCT
ejpam-5344	43	30	≪	≪	PUNCT
ejpam-5344	43	31	x	x	X
ejpam-5344	43	32	,	,	PUNCT
ejpam-5344	43	33	x	x	PUNCT
ejpam-5344	43	34	̸=	̸=	PROPN
ejpam-5344	43	35	0	0	NUM
ejpam-5344	43	36	;	;	PUNCT
ejpam-5344	43	37	and	and	CCONJ
ejpam-5344	43	38	,	,	PUNCT
ejpam-5344	43	39	[	[	X
ejpam-5344	43	40	hgr4	hgr4	X
ejpam-5344	43	41	]	]	X
ejpam-5344	43	42	(	(	PUNCT
ejpam-5344	43	43	v	v	NOUN
ejpam-5344	43	44	)	)	PUNCT
ejpam-5344	43	45	(	(	PUNCT
ejpam-5344	43	46	x⊛	x⊛	PROPN
ejpam-5344	44	1	y)⊛	y)⊛	NOUN
ejpam-5344	44	2	z	z	NOUN
ejpam-5344	44	3	≪	≪	VERB
ejpam-5344	44	4	y	y	PROPN
ejpam-5344	44	5	⊛	⊛	NUM
ejpam-5344	44	6	z.	z.	PROPN
ejpam-5344	45	1	[	[	X
ejpam-5344	45	2	hgr5	hgr5	X
ejpam-5344	45	3	]	]	PUNCT
ejpam-5344	45	4	definition	definition	NOUN
ejpam-5344	45	5	2	2	NUM
ejpam-5344	45	6	.	.	PUNCT
ejpam-5344	46	1	[	[	X
ejpam-5344	46	2	12	12	NUM
ejpam-5344	46	3	]	]	PUNCT
ejpam-5344	46	4	a	a	DET
ejpam-5344	46	5	nonempty	nonempty	NOUN
ejpam-5344	46	6	subset	subset	VERB
ejpam-5344	46	7	i	i	PRON
ejpam-5344	46	8	of	of	ADP
ejpam-5344	46	9	a	a	DET
ejpam-5344	46	10	hyper	hyper	ADJ
ejpam-5344	46	11	gr	gr	NOUN
ejpam-5344	46	12	-	-	PUNCT
ejpam-5344	46	13	algebra	algebra	NOUN
ejpam-5344	46	14	h	h	NOUN
ejpam-5344	46	15	is	be	AUX
ejpam-5344	46	16	called	call	VERB
ejpam-5344	46	17	an	an	DET
ejpam-5344	46	18	implicative	implicative	ADJ
ejpam-5344	46	19	hyper	hyper	ADJ
ejpam-5344	46	20	gr	gr	NOUN
ejpam-5344	46	21	-	-	PUNCT
ejpam-5344	46	22	ideal	ideal	NOUN
ejpam-5344	46	23	of	of	ADP
ejpam-5344	46	24	h	h	NOUN
ejpam-5344	46	25	if	if	SCONJ
ejpam-5344	46	26	for	for	ADP
ejpam-5344	46	27	any	any	DET
ejpam-5344	46	28	x	x	NOUN
ejpam-5344	46	29	,	,	PUNCT
ejpam-5344	46	30	y	y	PROPN
ejpam-5344	46	31	,	,	PUNCT
ejpam-5344	46	32	z	z	PROPN
ejpam-5344	46	33	∈	∈	PROPN
ejpam-5344	46	34	h	h	NOUN
ejpam-5344	46	35	,	,	PUNCT
ejpam-5344	46	36	(	(	PUNCT
ejpam-5344	46	37	i	i	NOUN
ejpam-5344	46	38	)	)	PUNCT
ejpam-5344	46	39	0	0	PUNCT
ejpam-5344	47	1	∈	∈	PROPN
ejpam-5344	47	2	i	i	PRON
ejpam-5344	47	3	;	;	PUNCT
ejpam-5344	47	4	and	and	CCONJ
ejpam-5344	47	5	,	,	PUNCT
ejpam-5344	47	6	[	[	X
ejpam-5344	47	7	ih1	ih1	X
ejpam-5344	47	8	]	]	X
ejpam-5344	47	9	(	(	PUNCT
ejpam-5344	47	10	ii	ii	NOUN
ejpam-5344	47	11	)	)	PUNCT
ejpam-5344	47	12	(	(	PUNCT
ejpam-5344	47	13	x⊛	x⊛	PROPN
ejpam-5344	47	14	z)⊛	z)⊛	PROPN
ejpam-5344	47	15	(	(	PUNCT
ejpam-5344	47	16	y	y	PROPN
ejpam-5344	47	17	⊛	⊛	NUM
ejpam-5344	47	18	x	x	NOUN
ejpam-5344	47	19	)	)	PUNCT
ejpam-5344	47	20	⊆	⊆	NUM
ejpam-5344	47	21	i	i	PROPN
ejpam-5344	47	22	and	and	CCONJ
ejpam-5344	47	23	z	z	NOUN
ejpam-5344	47	24	∈	∈	PROPN
ejpam-5344	48	1	i	i	PRON
ejpam-5344	48	2	imply	imply	VERB
ejpam-5344	48	3	that	that	SCONJ
ejpam-5344	48	4	x	x	SYM
ejpam-5344	48	5	∈	∈	PROPN
ejpam-5344	48	6	i.	i.	NOUN
ejpam-5344	48	7	[	[	X
ejpam-5344	48	8	ih2	ih2	X
ejpam-5344	48	9	]	]	PUNCT
ejpam-5344	48	10	a.	a.	NOUN
ejpam-5344	48	11	macodi	macodi	NOUN
ejpam-5344	48	12	,	,	PUNCT
ejpam-5344	48	13	a.	a.	NOUN
ejpam-5344	48	14	dorig	dorig	PROPN
ejpam-5344	48	15	/	/	SYM
ejpam-5344	48	16	eur	eur	PROPN
ejpam-5344	48	17	.	.	PUNCT
ejpam-5344	49	1	j.	j.	PROPN
ejpam-5344	49	2	pure	pure	PROPN
ejpam-5344	49	3	appl	appl	PROPN
ejpam-5344	49	4	.	.	PROPN
ejpam-5344	49	5	math	math	PROPN
ejpam-5344	49	6	,	,	PUNCT
ejpam-5344	49	7	17	17	NUM
ejpam-5344	49	8	(	(	PUNCT
ejpam-5344	49	9	3	3	NUM
ejpam-5344	49	10	)	)	PUNCT
ejpam-5344	49	11	(	(	PUNCT
ejpam-5344	49	12	2024	2024	NUM
ejpam-5344	49	13	)	)	PUNCT
ejpam-5344	49	14	,	,	PUNCT
ejpam-5344	49	15	2221	2221	NUM
ejpam-5344	49	16	-	-	SYM
ejpam-5344	49	17	2234	2234	NUM
ejpam-5344	49	18	2223	2223	NUM
ejpam-5344	49	19	definition	definition	NOUN
ejpam-5344	49	20	3	3	NUM
ejpam-5344	49	21	.	.	PUNCT
ejpam-5344	50	1	[	[	X
ejpam-5344	50	2	21	21	NUM
ejpam-5344	50	3	]	]	X
ejpam-5344	50	4	let	let	VERB
ejpam-5344	50	5	m	m	PRON
ejpam-5344	50	6	be	be	AUX
ejpam-5344	50	7	a	a	DET
ejpam-5344	50	8	nonempty	nonempty	ADV
ejpam-5344	50	9	set	set	VERB
ejpam-5344	50	10	.	.	PUNCT
ejpam-5344	51	1	a	a	DET
ejpam-5344	51	2	fuzzy	fuzzy	ADJ
ejpam-5344	51	3	set	set	VERB
ejpam-5344	51	4	µ	µ	NOUN
ejpam-5344	51	5	in	in	ADP
ejpam-5344	51	6	m	m	PROPN
ejpam-5344	51	7	is	be	AUX
ejpam-5344	51	8	the	the	DET
ejpam-5344	51	9	function	function	NOUN
ejpam-5344	51	10	µ	µ	NOUN
ejpam-5344	51	11	:	:	PUNCT
ejpam-5344	51	12	m	m	VERB
ejpam-5344	51	13	→	→	SYM
ejpam-5344	52	1	[	[	X
ejpam-5344	52	2	0	0	NUM
ejpam-5344	52	3	,	,	PUNCT
ejpam-5344	52	4	1	1	NUM
ejpam-5344	52	5	]	]	PUNCT
ejpam-5344	52	6	.	.	PUNCT
ejpam-5344	53	1	the	the	DET
ejpam-5344	53	2	complement	complement	NOUN
ejpam-5344	53	3	of	of	ADP
ejpam-5344	53	4	a	a	DET
ejpam-5344	53	5	fuzzy	fuzzy	ADJ
ejpam-5344	53	6	set	set	VERB
ejpam-5344	53	7	µ	µ	NOUN
ejpam-5344	53	8	,	,	PUNCT
ejpam-5344	53	9	denoted	denote	VERB
ejpam-5344	53	10	by	by	ADP
ejpam-5344	53	11	µ̄	µ̄	PROPN
ejpam-5344	53	12	,	,	PUNCT
ejpam-5344	53	13	is	be	AUX
ejpam-5344	53	14	the	the	DET
ejpam-5344	53	15	fuzzy	fuzzy	ADJ
ejpam-5344	53	16	set	set	NOUN
ejpam-5344	53	17	in	in	ADP
ejpam-5344	53	18	m	m	AUX
ejpam-5344	53	19	given	give	VERB
ejpam-5344	53	20	by	by	ADP
ejpam-5344	53	21	µ̄(x	µ̄(x	PROPN
ejpam-5344	53	22	)	)	PUNCT
ejpam-5344	53	23	=	=	SYM
ejpam-5344	53	24	1−	1−	NUM
ejpam-5344	53	25	µ(x	µ(x	NOUN
ejpam-5344	53	26	)	)	PUNCT
ejpam-5344	53	27	for	for	ADP
ejpam-5344	53	28	all	all	PRON
ejpam-5344	53	29	x	x	SYM
ejpam-5344	53	30	∈	∈	PROPN
ejpam-5344	53	31	m	m	NOUN
ejpam-5344	53	32	.	.	PUNCT
ejpam-5344	54	1	definition	definition	NOUN
ejpam-5344	54	2	4	4	NUM
ejpam-5344	54	3	.	.	PUNCT
ejpam-5344	55	1	[	[	X
ejpam-5344	55	2	12	12	NUM
ejpam-5344	55	3	]	]	PUNCT
ejpam-5344	55	4	a	a	DET
ejpam-5344	55	5	fuzzy	fuzzy	ADJ
ejpam-5344	55	6	set	set	VERB
ejpam-5344	55	7	µ	µ	NOUN
ejpam-5344	55	8	in	in	ADP
ejpam-5344	55	9	a	a	DET
ejpam-5344	55	10	hyper	hyper	ADJ
ejpam-5344	55	11	gr	gr	NOUN
ejpam-5344	55	12	-	-	PUNCT
ejpam-5344	55	13	algebra	algebra	NOUN
ejpam-5344	55	14	h	h	NOUN
ejpam-5344	55	15	is	be	AUX
ejpam-5344	55	16	called	call	VERB
ejpam-5344	55	17	fuzzy	fuzzy	ADJ
ejpam-5344	55	18	implicative	implicative	ADJ
ejpam-5344	55	19	hyper	hyper	ADJ
ejpam-5344	55	20	gr	gr	NOUN
ejpam-5344	55	21	-	-	PUNCT
ejpam-5344	55	22	ideal	ideal	NOUN
ejpam-5344	55	23	of	of	ADP
ejpam-5344	55	24	type	type	NOUN
ejpam-5344	55	25	1	1	NUM
ejpam-5344	55	26	if	if	SCONJ
ejpam-5344	55	27	for	for	ADP
ejpam-5344	55	28	x	x	PROPN
ejpam-5344	55	29	,	,	PUNCT
ejpam-5344	55	30	y	y	PROPN
ejpam-5344	55	31	,	,	PUNCT
ejpam-5344	55	32	z	z	PROPN
ejpam-5344	55	33	∈	∈	PROPN
ejpam-5344	55	34	h	h	NOUN
ejpam-5344	55	35	,	,	PUNCT
ejpam-5344	55	36	µ(0	µ(0	NOUN
ejpam-5344	55	37	)	)	PUNCT
ejpam-5344	55	38	≥	≥	NOUN
ejpam-5344	55	39	µ(x	µ(x	NOUN
ejpam-5344	55	40	)	)	PUNCT
ejpam-5344	55	41	≥	≥	NOUN
ejpam-5344	55	42	min	min	PROPN
ejpam-5344	55	43	{	{	PUNCT
ejpam-5344	55	44	inf	inf	NOUN
ejpam-5344	55	45	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	55	46	)	)	PUNCT
ejpam-5344	55	47	µ(u	µ(u	NOUN
ejpam-5344	55	48	)	)	PUNCT
ejpam-5344	55	49	,	,	PUNCT
ejpam-5344	55	50	µ(z	µ(z	PROPN
ejpam-5344	55	51	)	)	PUNCT
ejpam-5344	55	52	}	}	PUNCT
ejpam-5344	56	1	[	[	X
ejpam-5344	56	2	fim1	fim1	NOUN
ejpam-5344	56	3	]	]	PUNCT
ejpam-5344	56	4	definition	definition	NOUN
ejpam-5344	56	5	5	5	NUM
ejpam-5344	56	6	.	.	PUNCT
ejpam-5344	57	1	[	[	X
ejpam-5344	57	2	1	1	X
ejpam-5344	57	3	]	]	PUNCT
ejpam-5344	57	4	an	an	DET
ejpam-5344	57	5	intuitionistic	intuitionistic	ADJ
ejpam-5344	57	6	fuzzy	fuzzy	ADJ
ejpam-5344	57	7	set	set	VERB
ejpam-5344	57	8	a	a	PRON
ejpam-5344	57	9	in	in	ADP
ejpam-5344	57	10	a	a	DET
ejpam-5344	57	11	nonempty	nonempty	ADV
ejpam-5344	57	12	set	set	VERB
ejpam-5344	57	13	h	h	NOUN
ejpam-5344	57	14	is	be	AUX
ejpam-5344	57	15	an	an	DET
ejpam-5344	57	16	object	object	NOUN
ejpam-5344	57	17	having	have	VERB
ejpam-5344	57	18	the	the	DET
ejpam-5344	57	19	form	form	NOUN
ejpam-5344	57	20	a	a	DET
ejpam-5344	57	21	=	=	X
ejpam-5344	57	22	{	{	PUNCT
ejpam-5344	57	23	(	(	PUNCT
ejpam-5344	57	24	x	x	NOUN
ejpam-5344	57	25	,	,	PUNCT
ejpam-5344	57	26	µa(x	µa(x	NOUN
ejpam-5344	57	27	)	)	PUNCT
ejpam-5344	57	28	,	,	PUNCT
ejpam-5344	57	29	γa(x	γa(x	NUM
ejpam-5344	57	30	)	)	PUNCT
ejpam-5344	57	31	:	:	PUNCT
ejpam-5344	58	1	x	x	X
ejpam-5344	58	2	∈	∈	NOUN
ejpam-5344	58	3	h	h	NOUN
ejpam-5344	58	4	}	}	PUNCT
ejpam-5344	58	5	,	,	PUNCT
ejpam-5344	58	6	where	where	SCONJ
ejpam-5344	58	7	the	the	DET
ejpam-5344	58	8	functions	function	NOUN
ejpam-5344	58	9	µa	µa	X
ejpam-5344	58	10	:	:	PUNCT
ejpam-5344	58	11	h	h	NOUN
ejpam-5344	58	12	→	→	PUNCT
ejpam-5344	58	13	[	[	X
ejpam-5344	58	14	0	0	NUM
ejpam-5344	58	15	,	,	PUNCT
ejpam-5344	58	16	1	1	NUM
ejpam-5344	58	17	]	]	PUNCT
ejpam-5344	58	18	and	and	CCONJ
ejpam-5344	58	19	γa	γa	PRON
ejpam-5344	58	20	:	:	PUNCT
ejpam-5344	58	21	h	h	X
ejpam-5344	58	22	→	→	PUNCT
ejpam-5344	59	1	[	[	X
ejpam-5344	59	2	0	0	NUM
ejpam-5344	59	3	,	,	PUNCT
ejpam-5344	59	4	1	1	NUM
ejpam-5344	59	5	]	]	PUNCT
ejpam-5344	59	6	denote	denote	VERB
ejpam-5344	59	7	the	the	DET
ejpam-5344	59	8	degree	degree	NOUN
ejpam-5344	59	9	of	of	ADP
ejpam-5344	59	10	membership	membership	NOUN
ejpam-5344	59	11	and	and	CCONJ
ejpam-5344	59	12	degree	degree	NOUN
ejpam-5344	59	13	of	of	ADP
ejpam-5344	59	14	nonmembership	nonmembership	NOUN
ejpam-5344	59	15	,	,	PUNCT
ejpam-5344	59	16	respectively	respectively	ADV
ejpam-5344	59	17	,	,	PUNCT
ejpam-5344	59	18	and	and	CCONJ
ejpam-5344	59	19	for	for	ADP
ejpam-5344	59	20	all	all	DET
ejpam-5344	59	21	x	x	SYM
ejpam-5344	59	22	∈	∈	PROPN
ejpam-5344	59	23	h	h	NOUN
ejpam-5344	59	24	,	,	PUNCT
ejpam-5344	59	25	0	0	NUM
ejpam-5344	59	26	≤	≤	NOUN
ejpam-5344	59	27	µa(x	µa(x	NOUN
ejpam-5344	59	28	)	)	PUNCT
ejpam-5344	60	1	+	+	CCONJ
ejpam-5344	61	1	γa(x	γa(x	X
ejpam-5344	61	2	)	)	PUNCT
ejpam-5344	61	3	≤	≤	NUM
ejpam-5344	61	4	1	1	NUM
ejpam-5344	61	5	.	.	PUNCT
ejpam-5344	62	1	furthermore	furthermore	ADV
ejpam-5344	62	2	,	,	PUNCT
ejpam-5344	62	3	πa(x	πa(x	NOUN
ejpam-5344	62	4	)	)	PUNCT
ejpam-5344	62	5	=	=	SYM
ejpam-5344	62	6	1	1	NUM
ejpam-5344	62	7	−	−	NOUN
ejpam-5344	62	8	µa(x	µa(x	NOUN
ejpam-5344	62	9	)	)	PUNCT
ejpam-5344	62	10	−	−	NUM
ejpam-5344	62	11	γa(x	γa(x	NUM
ejpam-5344	62	12	)	)	PUNCT
ejpam-5344	62	13	is	be	AUX
ejpam-5344	62	14	called	call	VERB
ejpam-5344	62	15	the	the	DET
ejpam-5344	62	16	intuitionistic	intuitionistic	ADJ
ejpam-5344	62	17	fuzzy	fuzzy	ADJ
ejpam-5344	62	18	set	set	VERB
ejpam-5344	62	19	index	index	NOUN
ejpam-5344	62	20	or	or	CCONJ
ejpam-5344	62	21	hesitation	hesitation	NOUN
ejpam-5344	62	22	margin	margin	NOUN
ejpam-5344	62	23	of	of	ADP
ejpam-5344	62	24	x	x	PUNCT
ejpam-5344	62	25	in	in	ADP
ejpam-5344	62	26	a.	a.	NOUN
ejpam-5344	62	27	πa(x	πa(x	NOUN
ejpam-5344	62	28	)	)	PUNCT
ejpam-5344	62	29	is	be	AUX
ejpam-5344	62	30	the	the	DET
ejpam-5344	62	31	degree	degree	NOUN
ejpam-5344	62	32	of	of	ADP
ejpam-5344	62	33	indeterminancy	indeterminancy	NOUN
ejpam-5344	62	34	of	of	ADP
ejpam-5344	62	35	x	x	PUNCT
ejpam-5344	62	36	∈	∈	PROPN
ejpam-5344	62	37	h	h	NOUN
ejpam-5344	62	38	to	to	PART
ejpam-5344	62	39	intuitionistic	intuitionistic	ADJ
ejpam-5344	62	40	fuzzy	fuzzy	ADJ
ejpam-5344	62	41	set	set	VERB
ejpam-5344	62	42	a	a	DET
ejpam-5344	62	43	and	and	CCONJ
ejpam-5344	62	44	πa(x	πa(x	NOUN
ejpam-5344	62	45	)	)	PUNCT
ejpam-5344	62	46	∈	∈	NOUN
ejpam-5344	63	1	[	[	X
ejpam-5344	63	2	0	0	NUM
ejpam-5344	63	3	,	,	PUNCT
ejpam-5344	63	4	1	1	NUM
ejpam-5344	63	5	]	]	PUNCT
ejpam-5344	63	6	.	.	PUNCT
ejpam-5344	64	1	πa(x	πa(x	NOUN
ejpam-5344	64	2	)	)	PUNCT
ejpam-5344	64	3	expresses	express	VERB
ejpam-5344	64	4	the	the	DET
ejpam-5344	64	5	lack	lack	NOUN
ejpam-5344	64	6	of	of	ADP
ejpam-5344	64	7	knowledge	knowledge	NOUN
ejpam-5344	64	8	of	of	ADP
ejpam-5344	64	9	whether	whether	SCONJ
ejpam-5344	64	10	x	x	PRON
ejpam-5344	64	11	belongs	belong	VERB
ejpam-5344	64	12	to	to	ADP
ejpam-5344	64	13	intuitionistic	intuitionistic	ADJ
ejpam-5344	64	14	fuzzy	fuzzy	ADJ
ejpam-5344	64	15	set	set	VERB
ejpam-5344	64	16	a	a	PRON
ejpam-5344	64	17	or	or	CCONJ
ejpam-5344	64	18	not	not	PART
ejpam-5344	64	19	.	.	PUNCT
ejpam-5344	65	1	for	for	ADP
ejpam-5344	65	2	the	the	DET
ejpam-5344	65	3	sake	sake	NOUN
ejpam-5344	65	4	of	of	ADP
ejpam-5344	65	5	simplicity	simplicity	NOUN
ejpam-5344	65	6	,	,	PUNCT
ejpam-5344	65	7	we	we	PRON
ejpam-5344	65	8	shall	shall	AUX
ejpam-5344	65	9	use	use	VERB
ejpam-5344	65	10	the	the	DET
ejpam-5344	65	11	symbol	symbol	NOUN
ejpam-5344	65	12	a	a	PRON
ejpam-5344	65	13	=	=	X
ejpam-5344	65	14	(	(	PUNCT
ejpam-5344	65	15	µa(x	µa(x	NOUN
ejpam-5344	65	16	)	)	PUNCT
ejpam-5344	65	17	,	,	PUNCT
ejpam-5344	65	18	γa(x	γa(x	NUM
ejpam-5344	65	19	)	)	PUNCT
ejpam-5344	65	20	)	)	PUNCT
ejpam-5344	65	21	to	to	PART
ejpam-5344	65	22	denote	denote	VERB
ejpam-5344	65	23	the	the	DET
ejpam-5344	65	24	intuitionistic	intuitionistic	ADJ
ejpam-5344	65	25	fuzzy	fuzzy	ADJ
ejpam-5344	65	26	set	set	VERB
ejpam-5344	65	27	a	a	PRON
ejpam-5344	65	28	=	=	X
ejpam-5344	65	29	{	{	PUNCT
ejpam-5344	65	30	(	(	PUNCT
ejpam-5344	65	31	x	x	NOUN
ejpam-5344	65	32	,	,	PUNCT
ejpam-5344	65	33	µa(x	µa(x	NOUN
ejpam-5344	65	34	)	)	PUNCT
ejpam-5344	65	35	,	,	PUNCT
ejpam-5344	65	36	γa(x	γa(x	NUM
ejpam-5344	65	37	)	)	PUNCT
ejpam-5344	65	38	)	)	PUNCT
ejpam-5344	65	39	:	:	PUNCT
ejpam-5344	66	1	x	x	X
ejpam-5344	66	2	∈	∈	NOUN
ejpam-5344	66	3	h	h	NOUN
ejpam-5344	66	4	}	}	PUNCT
ejpam-5344	66	5	.	.	PUNCT
ejpam-5344	67	1	definition	definition	NOUN
ejpam-5344	67	2	6	6	NUM
ejpam-5344	67	3	.	.	PUNCT
ejpam-5344	68	1	[	[	X
ejpam-5344	68	2	16	16	NUM
ejpam-5344	68	3	]	]	PUNCT
ejpam-5344	68	4	for	for	ADP
ejpam-5344	68	5	an	an	DET
ejpam-5344	68	6	intuitionistic	intuitionistic	ADJ
ejpam-5344	68	7	fuzzy	fuzzy	ADJ
ejpam-5344	68	8	set	set	VERB
ejpam-5344	68	9	a	a	DET
ejpam-5344	68	10	=	=	X
ejpam-5344	68	11	(	(	PUNCT
ejpam-5344	68	12	µa	µa	INTJ
ejpam-5344	68	13	,	,	PUNCT
ejpam-5344	68	14	γa	γa	PROPN
ejpam-5344	68	15	)	)	PUNCT
ejpam-5344	68	16	in	in	ADP
ejpam-5344	68	17	h	h	PROPN
ejpam-5344	68	18	and	and	CCONJ
ejpam-5344	68	19	s	s	PROPN
ejpam-5344	68	20	,	,	PUNCT
ejpam-5344	68	21	t	t	PROPN
ejpam-5344	68	22	∈	∈	PROPN
ejpam-5344	69	1	[	[	X
ejpam-5344	69	2	0	0	NUM
ejpam-5344	69	3	,	,	PUNCT
ejpam-5344	69	4	1	1	NUM
ejpam-5344	69	5	]	]	PUNCT
ejpam-5344	69	6	,	,	PUNCT
ejpam-5344	69	7	the	the	DET
ejpam-5344	69	8	set	set	NOUN
ejpam-5344	69	9	a⟨t	a⟨t	PROPN
ejpam-5344	69	10	,	,	PUNCT
ejpam-5344	69	11	s⟩	s⟩	ADJ
ejpam-5344	69	12	=	=	SYM
ejpam-5344	69	13	{	{	PUNCT
ejpam-5344	69	14	x	x	PUNCT
ejpam-5344	69	15	∈	∈	PROPN
ejpam-5344	69	16	h	h	NOUN
ejpam-5344	69	17	:	:	PUNCT
ejpam-5344	69	18	µa(x	µa(x	NOUN
ejpam-5344	69	19	)	)	PUNCT
ejpam-5344	69	20	≥	≥	NOUN
ejpam-5344	69	21	t	t	PROPN
ejpam-5344	69	22	,	,	PUNCT
ejpam-5344	69	23	γa(x	γa(x	NUM
ejpam-5344	69	24	)	)	PUNCT
ejpam-5344	69	25	≤	≤	NOUN
ejpam-5344	69	26	s	s	AUX
ejpam-5344	69	27	}	}	PUNCT
ejpam-5344	69	28	is	be	AUX
ejpam-5344	69	29	called	call	VERB
ejpam-5344	69	30	a	a	DET
ejpam-5344	69	31	level	level	NOUN
ejpam-5344	69	32	subset	subset	NOUN
ejpam-5344	69	33	of	of	ADP
ejpam-5344	69	34	a.	a.	NOUN
ejpam-5344	69	35	definition	definition	NOUN
ejpam-5344	69	36	7	7	NUM
ejpam-5344	69	37	.	.	PUNCT
ejpam-5344	70	1	[	[	X
ejpam-5344	70	2	16	16	NUM
ejpam-5344	70	3	]	]	PUNCT
ejpam-5344	70	4	an	an	DET
ejpam-5344	70	5	intuitionistic	intuitionistic	ADJ
ejpam-5344	70	6	fuzzy	fuzzy	ADJ
ejpam-5344	70	7	relation	relation	NOUN
ejpam-5344	70	8	on	on	ADP
ejpam-5344	70	9	a	a	DET
ejpam-5344	70	10	nonempty	nonempty	ADV
ejpam-5344	70	11	set	set	VERB
ejpam-5344	70	12	h	h	NOUN
ejpam-5344	70	13	is	be	AUX
ejpam-5344	70	14	an	an	DET
ejpam-5344	70	15	intuitionistic	intuitionistic	ADJ
ejpam-5344	70	16	fuzzy	fuzzy	ADJ
ejpam-5344	70	17	set	set	NOUN
ejpam-5344	70	18	b	b	NOUN
ejpam-5344	70	19	=	=	PUNCT
ejpam-5344	70	20	(	(	PUNCT
ejpam-5344	70	21	µb	µb	PROPN
ejpam-5344	70	22	,	,	PUNCT
ejpam-5344	70	23	γb	γb	PROPN
ejpam-5344	70	24	)	)	PUNCT
ejpam-5344	70	25	where	where	SCONJ
ejpam-5344	70	26	µb	µb	VERB
ejpam-5344	70	27	:	:	PUNCT
ejpam-5344	70	28	h	h	NOUN
ejpam-5344	70	29	×h	×h	PROPN
ejpam-5344	70	30	→	→	PUNCT
ejpam-5344	71	1	[	[	X
ejpam-5344	71	2	0	0	NUM
ejpam-5344	71	3	,	,	PUNCT
ejpam-5344	71	4	1	1	NUM
ejpam-5344	71	5	]	]	PUNCT
ejpam-5344	71	6	and	and	CCONJ
ejpam-5344	71	7	γb	γb	INTJ
ejpam-5344	71	8	:	:	PUNCT
ejpam-5344	71	9	h	h	NOUN
ejpam-5344	71	10	×h	×h	PROPN
ejpam-5344	71	11	→	→	PUNCT
ejpam-5344	72	1	[	[	X
ejpam-5344	72	2	0	0	NUM
ejpam-5344	72	3	,	,	PUNCT
ejpam-5344	72	4	1	1	NUM
ejpam-5344	72	5	]	]	PUNCT
ejpam-5344	72	6	.	.	PUNCT
ejpam-5344	73	1	definition	definition	NOUN
ejpam-5344	73	2	8	8	NUM
ejpam-5344	73	3	.	.	PUNCT
ejpam-5344	74	1	[	[	X
ejpam-5344	74	2	16	16	NUM
ejpam-5344	74	3	]	]	X
ejpam-5344	74	4	if	if	SCONJ
ejpam-5344	74	5	b	b	PROPN
ejpam-5344	74	6	is	be	AUX
ejpam-5344	74	7	an	an	DET
ejpam-5344	74	8	intuitionistic	intuitionistic	ADJ
ejpam-5344	74	9	fuzzy	fuzzy	ADJ
ejpam-5344	74	10	relation	relation	NOUN
ejpam-5344	74	11	on	on	ADP
ejpam-5344	74	12	a	a	DET
ejpam-5344	74	13	nonempty	nonempty	ADV
ejpam-5344	74	14	set	set	VERB
ejpam-5344	74	15	h	h	NOUN
ejpam-5344	74	16	and	and	CCONJ
ejpam-5344	74	17	a	a	PRON
ejpam-5344	74	18	is	be	AUX
ejpam-5344	74	19	an	an	DET
ejpam-5344	74	20	intuitionistic	intuitionistic	ADJ
ejpam-5344	74	21	fuzzy	fuzzy	ADJ
ejpam-5344	74	22	set	set	NOUN
ejpam-5344	74	23	in	in	ADP
ejpam-5344	74	24	h	h	NOUN
ejpam-5344	74	25	,	,	PUNCT
ejpam-5344	74	26	then	then	ADV
ejpam-5344	74	27	b	b	PROPN
ejpam-5344	74	28	is	be	AUX
ejpam-5344	74	29	an	an	DET
ejpam-5344	74	30	intuitionistic	intuitionistic	ADJ
ejpam-5344	74	31	fuzzy	fuzzy	ADJ
ejpam-5344	74	32	relation	relation	NOUN
ejpam-5344	74	33	on	on	ADP
ejpam-5344	74	34	a	a	DET
ejpam-5344	74	35	set	set	NOUN
ejpam-5344	74	36	a	a	DET
ejpam-5344	74	37	if	if	SCONJ
ejpam-5344	74	38	µb	µb	VERB
ejpam-5344	74	39	(	(	PUNCT
ejpam-5344	74	40	x	x	NOUN
ejpam-5344	74	41	,	,	PUNCT
ejpam-5344	74	42	y	y	NOUN
ejpam-5344	74	43	)	)	PUNCT
ejpam-5344	74	44	≤	≤	NUM
ejpam-5344	74	45	min{µa(x	min{µa(x	NOUN
ejpam-5344	74	46	)	)	PUNCT
ejpam-5344	74	47	,	,	PUNCT
ejpam-5344	74	48	µa(y	µa(y	NOUN
ejpam-5344	74	49	)	)	PUNCT
ejpam-5344	74	50	}	}	PUNCT
ejpam-5344	74	51	and	and	CCONJ
ejpam-5344	74	52	γb	γb	INTJ
ejpam-5344	74	53	(	(	PUNCT
ejpam-5344	74	54	x	x	NOUN
ejpam-5344	74	55	,	,	PUNCT
ejpam-5344	74	56	y	y	PROPN
ejpam-5344	74	57	)	)	PUNCT
ejpam-5344	74	58	≥	≥	NOUN
ejpam-5344	74	59	max{γa(x	max{γa(x	NOUN
ejpam-5344	74	60	)	)	PUNCT
ejpam-5344	74	61	,	,	PUNCT
ejpam-5344	74	62	γa(y	γa(y	NOUN
ejpam-5344	74	63	)	)	PUNCT
ejpam-5344	74	64	}	}	PUNCT
ejpam-5344	74	65	for	for	ADP
ejpam-5344	74	66	all	all	DET
ejpam-5344	74	67	x	x	NOUN
ejpam-5344	74	68	,	,	PUNCT
ejpam-5344	74	69	y	y	PROPN
ejpam-5344	74	70	∈	∈	PROPN
ejpam-5344	74	71	h.	h.	PROPN
ejpam-5344	74	72	definition	definition	NOUN
ejpam-5344	74	73	9	9	NUM
ejpam-5344	74	74	.	.	PUNCT
ejpam-5344	75	1	[	[	X
ejpam-5344	75	2	16	16	NUM
ejpam-5344	75	3	]	]	X
ejpam-5344	75	4	if	if	SCONJ
ejpam-5344	75	5	a	a	PRON
ejpam-5344	75	6	is	be	AUX
ejpam-5344	75	7	an	an	DET
ejpam-5344	75	8	intuitionistic	intuitionistic	ADJ
ejpam-5344	75	9	fuzzy	fuzzy	ADJ
ejpam-5344	75	10	set	set	NOUN
ejpam-5344	75	11	in	in	ADP
ejpam-5344	75	12	a	a	DET
ejpam-5344	75	13	nonempty	nonempty	ADV
ejpam-5344	75	14	set	set	VERB
ejpam-5344	75	15	h	h	NOUN
ejpam-5344	75	16	,	,	PUNCT
ejpam-5344	75	17	the	the	DET
ejpam-5344	75	18	strongest	strong	ADJ
ejpam-5344	75	19	intuitionistic	intuitionistic	ADJ
ejpam-5344	75	20	fuzzy	fuzzy	ADJ
ejpam-5344	75	21	relation	relation	NOUN
ejpam-5344	75	22	on	on	ADP
ejpam-5344	75	23	h	h	NOUN
ejpam-5344	75	24	is	be	AUX
ejpam-5344	75	25	an	an	DET
ejpam-5344	75	26	intuitionistic	intuitionistic	ADJ
ejpam-5344	75	27	fuzzy	fuzzy	ADJ
ejpam-5344	75	28	relation	relation	NOUN
ejpam-5344	75	29	on	on	ADP
ejpam-5344	75	30	h	h	NOUN
ejpam-5344	75	31	,	,	PUNCT
ejpam-5344	75	32	denoted	denote	VERB
ejpam-5344	75	33	by	by	ADP
ejpam-5344	75	34	ba	ba	PROPN
ejpam-5344	75	35	=	=	PRON
ejpam-5344	75	36	(	(	PUNCT
ejpam-5344	75	37	(	(	PUNCT
ejpam-5344	75	38	µb	µb	NOUN
ejpam-5344	75	39	)	)	PUNCT
ejpam-5344	75	40	µa	µa	NOUN
ejpam-5344	75	41	,	,	PUNCT
ejpam-5344	75	42	(	(	PUNCT
ejpam-5344	75	43	γb	γb	INTJ
ejpam-5344	75	44	)	)	PUNCT
ejpam-5344	75	45	γa	γa	PROPN
ejpam-5344	75	46	)	)	PUNCT
ejpam-5344	75	47	,	,	PUNCT
ejpam-5344	75	48	given	give	VERB
ejpam-5344	75	49	by	by	ADP
ejpam-5344	75	50	(	(	PUNCT
ejpam-5344	75	51	µb	µb	NOUN
ejpam-5344	75	52	)	)	PUNCT
ejpam-5344	75	53	µa	µa	NOUN
ejpam-5344	75	54	(	(	PUNCT
ejpam-5344	75	55	x	x	X
ejpam-5344	75	56	,	,	PUNCT
ejpam-5344	75	57	y	y	NOUN
ejpam-5344	75	58	)	)	PUNCT
ejpam-5344	75	59	=	=	SYM
ejpam-5344	75	60	min{µa(x	min{µa(x	NOUN
ejpam-5344	75	61	)	)	PUNCT
ejpam-5344	75	62	,	,	PUNCT
ejpam-5344	75	63	µa(y	µa(y	NOUN
ejpam-5344	75	64	)	)	PUNCT
ejpam-5344	75	65	}	}	PUNCT
ejpam-5344	75	66	and	and	CCONJ
ejpam-5344	75	67	(	(	PUNCT
ejpam-5344	75	68	γb	γb	INTJ
ejpam-5344	75	69	)	)	PUNCT
ejpam-5344	75	70	γa	γa	PROPN
ejpam-5344	75	71	(	(	PUNCT
ejpam-5344	75	72	x	x	X
ejpam-5344	75	73	,	,	PUNCT
ejpam-5344	75	74	y	y	NOUN
ejpam-5344	75	75	)	)	PUNCT
ejpam-5344	75	76	=	=	SYM
ejpam-5344	75	77	max{γa(x	max{γa(x	NOUN
ejpam-5344	75	78	)	)	PUNCT
ejpam-5344	75	79	,	,	PUNCT
ejpam-5344	75	80	γa(y	γa(y	NOUN
ejpam-5344	75	81	)	)	PUNCT
ejpam-5344	75	82	}	}	PUNCT
ejpam-5344	75	83	for	for	ADP
ejpam-5344	75	84	all	all	DET
ejpam-5344	75	85	x	x	NOUN
ejpam-5344	75	86	,	,	PUNCT
ejpam-5344	75	87	y	y	PROPN
ejpam-5344	75	88	∈	∈	PROPN
ejpam-5344	75	89	h.	h.	PROPN
ejpam-5344	75	90	a.	a.	NOUN
ejpam-5344	75	91	macodi	macodi	PROPN
ejpam-5344	75	92	,	,	PUNCT
ejpam-5344	75	93	a.	a.	NOUN
ejpam-5344	75	94	dorig	dorig	PROPN
ejpam-5344	75	95	/	/	SYM
ejpam-5344	75	96	eur	eur	PROPN
ejpam-5344	75	97	.	.	PUNCT
ejpam-5344	76	1	j.	j.	PROPN
ejpam-5344	76	2	pure	pure	PROPN
ejpam-5344	76	3	appl	appl	PROPN
ejpam-5344	76	4	.	.	PROPN
ejpam-5344	76	5	math	math	PROPN
ejpam-5344	76	6	,	,	PUNCT
ejpam-5344	76	7	17	17	NUM
ejpam-5344	76	8	(	(	PUNCT
ejpam-5344	76	9	3	3	NUM
ejpam-5344	76	10	)	)	PUNCT
ejpam-5344	76	11	(	(	PUNCT
ejpam-5344	76	12	2024	2024	NUM
ejpam-5344	76	13	)	)	PUNCT
ejpam-5344	76	14	,	,	PUNCT
ejpam-5344	76	15	2221	2221	NUM
ejpam-5344	76	16	-	-	SYM
ejpam-5344	76	17	2234	2234	NUM
ejpam-5344	76	18	2224	2224	NUM
ejpam-5344	76	19	definition	definition	NOUN
ejpam-5344	76	20	10	10	NUM
ejpam-5344	76	21	.	.	PUNCT
ejpam-5344	77	1	[	[	X
ejpam-5344	77	2	16	16	NUM
ejpam-5344	77	3	]	]	PUNCT
ejpam-5344	77	4	let	let	VERB
ejpam-5344	77	5	a	a	PRON
ejpam-5344	77	6	and	and	CCONJ
ejpam-5344	77	7	b	b	NOUN
ejpam-5344	77	8	be	be	AUX
ejpam-5344	77	9	an	an	DET
ejpam-5344	77	10	intuitionistic	intuitionistic	ADJ
ejpam-5344	77	11	fuzzy	fuzzy	ADJ
ejpam-5344	77	12	sets	set	NOUN
ejpam-5344	77	13	in	in	ADP
ejpam-5344	77	14	a	a	DET
ejpam-5344	77	15	nonempty	nonempty	NOUN
ejpam-5344	77	16	set	set	VERB
ejpam-5344	77	17	h.	h.	NOUN
ejpam-5344	77	18	the	the	DET
ejpam-5344	77	19	cartesian	cartesian	ADJ
ejpam-5344	77	20	product	product	NOUN
ejpam-5344	77	21	of	of	ADP
ejpam-5344	77	22	a	a	PRON
ejpam-5344	77	23	and	and	CCONJ
ejpam-5344	77	24	b	b	NOUN
ejpam-5344	77	25	is	be	AUX
ejpam-5344	77	26	defined	define	VERB
ejpam-5344	77	27	for	for	SCONJ
ejpam-5344	77	28	all	all	DET
ejpam-5344	77	29	x	x	NOUN
ejpam-5344	77	30	,	,	PUNCT
ejpam-5344	77	31	y	y	PROPN
ejpam-5344	77	32	∈	∈	PROPN
ejpam-5344	77	33	h	h	NOUN
ejpam-5344	77	34	as	as	SCONJ
ejpam-5344	77	35	follows	follow	VERB
ejpam-5344	77	36	(	(	PUNCT
ejpam-5344	77	37	µa	µa	NOUN
ejpam-5344	77	38	×	×	PROPN
ejpam-5344	77	39	µb	µb	VERB
ejpam-5344	77	40	)	)	PUNCT
ejpam-5344	77	41	(	(	PUNCT
ejpam-5344	77	42	x	x	X
ejpam-5344	77	43	,	,	PUNCT
ejpam-5344	77	44	y	y	NOUN
ejpam-5344	77	45	)	)	PUNCT
ejpam-5344	77	46	=	=	SYM
ejpam-5344	77	47	min{µa(x	min{µa(x	NOUN
ejpam-5344	77	48	)	)	PUNCT
ejpam-5344	77	49	,	,	PUNCT
ejpam-5344	77	50	µb	µb	ADP
ejpam-5344	77	51	(	(	PUNCT
ejpam-5344	77	52	y	y	NOUN
ejpam-5344	77	53	)	)	PUNCT
ejpam-5344	77	54	}	}	PUNCT
ejpam-5344	77	55	and	and	CCONJ
ejpam-5344	77	56	(	(	PUNCT
ejpam-5344	77	57	γa	γa	NOUN
ejpam-5344	77	58	×	×	PROPN
ejpam-5344	77	59	γb	γb	INTJ
ejpam-5344	77	60	)	)	PUNCT
ejpam-5344	77	61	(	(	PUNCT
ejpam-5344	77	62	x	x	X
ejpam-5344	77	63	,	,	PUNCT
ejpam-5344	77	64	y	y	NOUN
ejpam-5344	77	65	)	)	PUNCT
ejpam-5344	77	66	=	=	SYM
ejpam-5344	77	67	max{γa(x	max{γa(x	NOUN
ejpam-5344	77	68	)	)	PUNCT
ejpam-5344	77	69	,	,	PUNCT
ejpam-5344	77	70	γb	γb	INTJ
ejpam-5344	77	71	(	(	PUNCT
ejpam-5344	77	72	y	y	NOUN
ejpam-5344	77	73	)	)	PUNCT
ejpam-5344	77	74	}	}	PUNCT
ejpam-5344	77	75	definition	definition	NOUN
ejpam-5344	77	76	11	11	NUM
ejpam-5344	77	77	.	.	PUNCT
ejpam-5344	78	1	[	[	X
ejpam-5344	78	2	13	13	NUM
ejpam-5344	78	3	]	]	PUNCT
ejpam-5344	78	4	an	an	DET
ejpam-5344	78	5	intuitionistic	intuitionistic	ADJ
ejpam-5344	78	6	fuzzy	fuzzy	ADJ
ejpam-5344	78	7	set	set	VERB
ejpam-5344	78	8	a	a	PRON
ejpam-5344	78	9	=	=	X
ejpam-5344	78	10	(	(	PUNCT
ejpam-5344	78	11	µa(x	µa(x	NOUN
ejpam-5344	78	12	)	)	PUNCT
ejpam-5344	78	13	,	,	PUNCT
ejpam-5344	78	14	γa(x	γa(x	NUM
ejpam-5344	78	15	)	)	PUNCT
ejpam-5344	78	16	)	)	PUNCT
ejpam-5344	78	17	in	in	ADP
ejpam-5344	78	18	a	a	DET
ejpam-5344	78	19	hyper	hyper	ADJ
ejpam-5344	78	20	gr	gr	NOUN
ejpam-5344	78	21	-	-	PUNCT
ejpam-5344	78	22	algebra	algebra	NOUN
ejpam-5344	78	23	h	h	NOUN
ejpam-5344	78	24	is	be	AUX
ejpam-5344	78	25	an	an	DET
ejpam-5344	78	26	intuitionistic	intuitionistic	ADJ
ejpam-5344	78	27	fuzzy	fuzzy	ADJ
ejpam-5344	78	28	hyper	hyper	ADJ
ejpam-5344	78	29	gr	gr	NOUN
ejpam-5344	78	30	-	-	PUNCT
ejpam-5344	78	31	ideal	ideal	NOUN
ejpam-5344	78	32	of	of	ADP
ejpam-5344	78	33	h	h	NOUN
ejpam-5344	78	34	if	if	SCONJ
ejpam-5344	78	35	for	for	ADP
ejpam-5344	78	36	all	all	DET
ejpam-5344	78	37	x	x	NOUN
ejpam-5344	78	38	,	,	PUNCT
ejpam-5344	78	39	y	y	PROPN
ejpam-5344	78	40	∈	∈	PROPN
ejpam-5344	78	41	h	h	NOUN
ejpam-5344	78	42	the	the	DET
ejpam-5344	78	43	following	follow	VERB
ejpam-5344	78	44	hold	hold	NOUN
ejpam-5344	78	45	:	:	PUNCT
ejpam-5344	78	46	(	(	PUNCT
ejpam-5344	78	47	i	i	NOUN
ejpam-5344	78	48	)	)	PUNCT
ejpam-5344	78	49	µa(0	µa(0	NOUN
ejpam-5344	78	50	)	)	PUNCT
ejpam-5344	78	51	≥	≥	NOUN
ejpam-5344	78	52	µa(x	µa(x	NOUN
ejpam-5344	78	53	)	)	PUNCT
ejpam-5344	78	54	and	and	CCONJ
ejpam-5344	78	55	γa(0	γa(0	NOUN
ejpam-5344	78	56	)	)	PUNCT
ejpam-5344	78	57	≤	≤	NOUN
ejpam-5344	78	58	γa(x	γa(x	NUM
ejpam-5344	78	59	)	)	PUNCT
ejpam-5344	78	60	;	;	PUNCT
ejpam-5344	79	1	[	[	X
ejpam-5344	79	2	ifgr1	ifgr1	X
ejpam-5344	79	3	]	]	X
ejpam-5344	79	4	(	(	PUNCT
ejpam-5344	79	5	ii	ii	NOUN
ejpam-5344	79	6	)	)	PUNCT
ejpam-5344	79	7	µa(x	µa(x	PROPN
ejpam-5344	79	8	)	)	PUNCT
ejpam-5344	79	9	≥	≥	PROPN
ejpam-5344	79	10	min	min	PROPN
ejpam-5344	79	11	{	{	PUNCT
ejpam-5344	79	12	inf	inf	NOUN
ejpam-5344	79	13	u∈x⊛y	u∈x⊛y	PROPN
ejpam-5344	79	14	µa(u	µa(u	X
ejpam-5344	79	15	)	)	PUNCT
ejpam-5344	79	16	,	,	PUNCT
ejpam-5344	79	17	µa(y	µa(y	NOUN
ejpam-5344	79	18	)	)	PUNCT
ejpam-5344	79	19	}	}	PUNCT
ejpam-5344	79	20	;	;	PUNCT
ejpam-5344	79	21	and	and	CCONJ
ejpam-5344	79	22	,	,	PUNCT
ejpam-5344	79	23	[	[	X
ejpam-5344	79	24	ifgr2	ifgr2	X
ejpam-5344	79	25	]	]	X
ejpam-5344	79	26	(	(	PUNCT
ejpam-5344	79	27	iii	iii	NOUN
ejpam-5344	79	28	)	)	PUNCT
ejpam-5344	79	29	γa(x	γa(x	NUM
ejpam-5344	79	30	)	)	PUNCT
ejpam-5344	79	31	≤	≤	NUM
ejpam-5344	79	32	max	max	NOUN
ejpam-5344	79	33	{	{	PUNCT
ejpam-5344	79	34	sup	sup	NOUN
ejpam-5344	79	35	v∈x⊛y	v∈x⊛y	PROPN
ejpam-5344	79	36	γa(v	γa(v	PUNCT
ejpam-5344	79	37	)	)	PUNCT
ejpam-5344	79	38	,	,	PUNCT
ejpam-5344	79	39	γa(y	γa(y	NOUN
ejpam-5344	79	40	)	)	PUNCT
ejpam-5344	79	41	}	}	PUNCT
ejpam-5344	79	42	.	.	PUNCT
ejpam-5344	80	1	[	[	X
ejpam-5344	80	2	ifgr3	ifgr3	X
ejpam-5344	80	3	]	]	X
ejpam-5344	80	4	theorem	theorem	NOUN
ejpam-5344	80	5	1	1	NUM
ejpam-5344	80	6	.	.	PUNCT
ejpam-5344	81	1	[	[	X
ejpam-5344	81	2	12	12	NUM
ejpam-5344	81	3	]	]	PUNCT
ejpam-5344	81	4	a	a	DET
ejpam-5344	81	5	fuzzy	fuzzy	ADJ
ejpam-5344	81	6	set	set	VERB
ejpam-5344	81	7	µ	µ	NOUN
ejpam-5344	81	8	in	in	ADP
ejpam-5344	81	9	a	a	DET
ejpam-5344	81	10	hyper	hyper	ADJ
ejpam-5344	81	11	gr	gr	NOUN
ejpam-5344	81	12	-	-	PUNCT
ejpam-5344	81	13	algebra	algebra	NOUN
ejpam-5344	81	14	h	h	NOUN
ejpam-5344	81	15	is	be	AUX
ejpam-5344	81	16	a	a	DET
ejpam-5344	81	17	fuzzy	fuzzy	ADJ
ejpam-5344	81	18	implicative	implicative	ADJ
ejpam-5344	81	19	hyper	hyper	ADJ
ejpam-5344	81	20	gr	gr	NOUN
ejpam-5344	81	21	-	-	PUNCT
ejpam-5344	81	22	ideal	ideal	NOUN
ejpam-5344	81	23	of	of	ADP
ejpam-5344	81	24	type	type	NOUN
ejpam-5344	81	25	1	1	NUM
ejpam-5344	81	26	if	if	SCONJ
ejpam-5344	81	27	and	and	CCONJ
ejpam-5344	81	28	only	only	ADV
ejpam-5344	81	29	if	if	SCONJ
ejpam-5344	81	30	µt	µt	PRON
ejpam-5344	81	31	is	be	AUX
ejpam-5344	81	32	an	an	DET
ejpam-5344	81	33	implicative	implicative	ADJ
ejpam-5344	81	34	hyper	hyper	ADJ
ejpam-5344	81	35	gr	gr	NOUN
ejpam-5344	81	36	-	-	PUNCT
ejpam-5344	81	37	ideal	ideal	NOUN
ejpam-5344	81	38	of	of	ADP
ejpam-5344	81	39	h	h	NOUN
ejpam-5344	81	40	whenever	whenever	SCONJ
ejpam-5344	81	41	µt	µt	PRON
ejpam-5344	81	42	̸=	̸=	PROPN
ejpam-5344	81	43	∅	∅	NOUN
ejpam-5344	81	44	and	and	CCONJ
ejpam-5344	81	45	t	t	NOUN
ejpam-5344	81	46	∈	∈	PROPN
ejpam-5344	82	1	[	[	X
ejpam-5344	82	2	0	0	NUM
ejpam-5344	82	3	,	,	PUNCT
ejpam-5344	82	4	1	1	NUM
ejpam-5344	82	5	]	]	PUNCT
ejpam-5344	82	6	.	.	PUNCT
ejpam-5344	83	1	lemma	lemma	PROPN
ejpam-5344	83	2	1	1	NUM
ejpam-5344	83	3	.	.	PUNCT
ejpam-5344	84	1	[	[	X
ejpam-5344	84	2	13	13	NUM
ejpam-5344	84	3	]	]	PUNCT
ejpam-5344	84	4	let	let	VERB
ejpam-5344	84	5	µ	µ	X
ejpam-5344	84	6	:	:	PUNCT
ejpam-5344	84	7	h	h	NOUN
ejpam-5344	84	8	→	→	PUNCT
ejpam-5344	85	1	[	[	X
ejpam-5344	85	2	0	0	NUM
ejpam-5344	85	3	,	,	PUNCT
ejpam-5344	85	4	1	1	NUM
ejpam-5344	85	5	]	]	PUNCT
ejpam-5344	85	6	be	be	AUX
ejpam-5344	85	7	a	a	DET
ejpam-5344	85	8	fuzzy	fuzzy	ADJ
ejpam-5344	85	9	set	set	NOUN
ejpam-5344	85	10	and	and	CCONJ
ejpam-5344	85	11	s	s	NOUN
ejpam-5344	86	1	⊆	⊆	NUM
ejpam-5344	86	2	h.	h.	NOUN
ejpam-5344	86	3	then	then	ADV
ejpam-5344	86	4	(	(	PUNCT
ejpam-5344	86	5	a	a	X
ejpam-5344	86	6	)	)	PUNCT
ejpam-5344	86	7	1−	1−	NUM
ejpam-5344	86	8	sup	sup	NOUN
ejpam-5344	86	9	x∈s	x∈s	NOUN
ejpam-5344	86	10	µ(x	µ(x	PROPN
ejpam-5344	86	11	)	)	PUNCT
ejpam-5344	86	12	=	=	SYM
ejpam-5344	86	13	inf	inf	NOUN
ejpam-5344	86	14	x∈s	x∈s	PROPN
ejpam-5344	86	15	(	(	PUNCT
ejpam-5344	86	16	1−	1−	NUM
ejpam-5344	86	17	µ(x	µ(x	NUM
ejpam-5344	86	18	)	)	PUNCT
ejpam-5344	86	19	)	)	PUNCT
ejpam-5344	86	20	and	and	CCONJ
ejpam-5344	86	21	(	(	PUNCT
ejpam-5344	86	22	b	b	NOUN
ejpam-5344	86	23	)	)	PUNCT
ejpam-5344	86	24	1−	1−	NUM
ejpam-5344	86	25	inf	inf	NOUN
ejpam-5344	86	26	x∈s	x∈s	PROPN
ejpam-5344	86	27	µ(x	µ(x	PROPN
ejpam-5344	86	28	)	)	PUNCT
ejpam-5344	86	29	=	=	SYM
ejpam-5344	86	30	sup	sup	NOUN
ejpam-5344	86	31	x∈s	x∈s	PROPN
ejpam-5344	86	32	(	(	PUNCT
ejpam-5344	86	33	1−	1−	NUM
ejpam-5344	86	34	µ(x	µ(x	NUM
ejpam-5344	86	35	)	)	PUNCT
ejpam-5344	86	36	)	)	PUNCT
ejpam-5344	86	37	.	.	PUNCT
ejpam-5344	87	1	corollary	corollary	ADJ
ejpam-5344	87	2	1	1	NUM
ejpam-5344	87	3	.	.	PUNCT
ejpam-5344	88	1	[	[	X
ejpam-5344	88	2	13	13	NUM
ejpam-5344	88	3	]	]	PUNCT
ejpam-5344	88	4	let	let	VERB
ejpam-5344	88	5	µ	µ	X
ejpam-5344	88	6	:	:	PUNCT
ejpam-5344	88	7	h	h	NOUN
ejpam-5344	88	8	→	→	PUNCT
ejpam-5344	89	1	[	[	X
ejpam-5344	89	2	0	0	NUM
ejpam-5344	89	3	,	,	PUNCT
ejpam-5344	89	4	1	1	NUM
ejpam-5344	89	5	]	]	PUNCT
ejpam-5344	89	6	be	be	AUX
ejpam-5344	89	7	a	a	DET
ejpam-5344	89	8	fuzzy	fuzzy	ADJ
ejpam-5344	89	9	set	set	NOUN
ejpam-5344	89	10	and	and	CCONJ
ejpam-5344	89	11	s	s	NOUN
ejpam-5344	90	1	⊆	⊆	NUM
ejpam-5344	90	2	h.	h.	NOUN
ejpam-5344	90	3	then	then	ADV
ejpam-5344	90	4	(	(	PUNCT
ejpam-5344	90	5	a	a	X
ejpam-5344	90	6	)	)	PUNCT
ejpam-5344	90	7	1−max	1−max	PROPN
ejpam-5344	90	8	x∈s	x∈s	PUNCT
ejpam-5344	90	9	µ(x	µ(x	ADJ
ejpam-5344	90	10	)	)	PUNCT
ejpam-5344	90	11	=	=	SYM
ejpam-5344	90	12	min	min	NOUN
ejpam-5344	90	13	x∈s	x∈s	PROPN
ejpam-5344	90	14	(	(	PUNCT
ejpam-5344	90	15	1−	1−	NUM
ejpam-5344	90	16	µ(x	µ(x	NUM
ejpam-5344	90	17	)	)	PUNCT
ejpam-5344	90	18	)	)	PUNCT
ejpam-5344	90	19	and	and	CCONJ
ejpam-5344	90	20	(	(	PUNCT
ejpam-5344	90	21	b	b	X
ejpam-5344	90	22	)	)	PUNCT
ejpam-5344	90	23	1−min	1−min	NOUN
ejpam-5344	90	24	x∈s	x∈s	NOUN
ejpam-5344	90	25	µ(x	µ(x	PROPN
ejpam-5344	90	26	)	)	PUNCT
ejpam-5344	90	27	=	=	SYM
ejpam-5344	90	28	max	max	PROPN
ejpam-5344	90	29	x∈s	x∈s	PROPN
ejpam-5344	90	30	(	(	PUNCT
ejpam-5344	90	31	1−	1−	NUM
ejpam-5344	90	32	µ(x	µ(x	NUM
ejpam-5344	90	33	)	)	PUNCT
ejpam-5344	90	34	)	)	PUNCT
ejpam-5344	90	35	.	.	PUNCT
ejpam-5344	91	1	3	3	X
ejpam-5344	91	2	.	.	X
ejpam-5344	91	3	intuitionistic	intuitionistic	ADJ
ejpam-5344	91	4	fuzzy	fuzzy	ADJ
ejpam-5344	91	5	implicative	implicative	ADJ
ejpam-5344	91	6	hyper	hyper	ADJ
ejpam-5344	91	7	gr	gr	ADJ
ejpam-5344	91	8	-	-	PUNCT
ejpam-5344	91	9	ideals	ideal	NOUN
ejpam-5344	91	10	definition	definition	NOUN
ejpam-5344	91	11	12	12	NUM
ejpam-5344	91	12	.	.	PUNCT
ejpam-5344	92	1	an	an	DET
ejpam-5344	92	2	intuitionistic	intuitionistic	ADJ
ejpam-5344	92	3	fuzzy	fuzzy	NOUN
ejpam-5344	92	4	set	set	VERB
ejpam-5344	92	5	a	a	DET
ejpam-5344	92	6	=	=	X
ejpam-5344	92	7	(	(	PUNCT
ejpam-5344	92	8	µa	µa	INTJ
ejpam-5344	92	9	,	,	PUNCT
ejpam-5344	92	10	γa	γa	PROPN
ejpam-5344	92	11	)	)	PUNCT
ejpam-5344	92	12	in	in	ADP
ejpam-5344	92	13	a	a	DET
ejpam-5344	92	14	hyper	hyper	ADJ
ejpam-5344	92	15	gr	gr	NOUN
ejpam-5344	92	16	-	-	PUNCT
ejpam-5344	92	17	algebra	algebra	NOUN
ejpam-5344	92	18	h	h	NOUN
ejpam-5344	92	19	is	be	AUX
ejpam-5344	92	20	an	an	DET
ejpam-5344	92	21	intuitionistic	intuitionistic	ADJ
ejpam-5344	92	22	fuzzy	fuzzy	ADJ
ejpam-5344	92	23	implicative	implicative	ADJ
ejpam-5344	92	24	hyper	hyper	ADJ
ejpam-5344	92	25	gr	gr	NOUN
ejpam-5344	92	26	-	-	PUNCT
ejpam-5344	92	27	ideal	ideal	NOUN
ejpam-5344	92	28	of	of	ADP
ejpam-5344	92	29	h	h	NOUN
ejpam-5344	92	30	if	if	SCONJ
ejpam-5344	92	31	for	for	ADP
ejpam-5344	92	32	all	all	DET
ejpam-5344	92	33	x	x	NOUN
ejpam-5344	92	34	,	,	PUNCT
ejpam-5344	92	35	y	y	PROPN
ejpam-5344	92	36	,	,	PUNCT
ejpam-5344	92	37	z	z	PROPN
ejpam-5344	92	38	∈	∈	PROPN
ejpam-5344	92	39	h	h	NOUN
ejpam-5344	92	40	the	the	DET
ejpam-5344	92	41	following	follow	VERB
ejpam-5344	92	42	hold	hold	NOUN
ejpam-5344	92	43	:	:	PUNCT
ejpam-5344	92	44	(	(	PUNCT
ejpam-5344	92	45	i	i	NOUN
ejpam-5344	92	46	)	)	PUNCT
ejpam-5344	92	47	µa(x	µa(x	ADP
ejpam-5344	92	48	)	)	PUNCT
ejpam-5344	92	49	≤	≤	NUM
ejpam-5344	92	50	µa(0	µa(0	NOUN
ejpam-5344	92	51	)	)	PUNCT
ejpam-5344	92	52	and	and	CCONJ
ejpam-5344	92	53	γa(x	γa(x	NUM
ejpam-5344	92	54	)	)	PUNCT
ejpam-5344	92	55	≥	≥	NUM
ejpam-5344	92	56	γa(0	γa(0	NOUN
ejpam-5344	92	57	)	)	PUNCT
ejpam-5344	92	58	;	;	PUNCT
ejpam-5344	92	59	[	[	X
ejpam-5344	92	60	ifigr1	ifigr1	X
ejpam-5344	92	61	]	]	X
ejpam-5344	92	62	(	(	PUNCT
ejpam-5344	92	63	ii	ii	NOUN
ejpam-5344	92	64	)	)	PUNCT
ejpam-5344	92	65	µa(x	µa(x	PROPN
ejpam-5344	92	66	)	)	PUNCT
ejpam-5344	92	67	≥	≥	PROPN
ejpam-5344	92	68	min	min	PROPN
ejpam-5344	92	69	{	{	PUNCT
ejpam-5344	92	70	inf	inf	NOUN
ejpam-5344	92	71	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	92	72	)	)	PUNCT
ejpam-5344	92	73	µa(u	µa(u	NOUN
ejpam-5344	92	74	)	)	PUNCT
ejpam-5344	92	75	,	,	PUNCT
ejpam-5344	92	76	µa(z	µa(z	PRON
ejpam-5344	92	77	)	)	PUNCT
ejpam-5344	92	78	}	}	PUNCT
ejpam-5344	92	79	;	;	PUNCT
ejpam-5344	92	80	and	and	CCONJ
ejpam-5344	92	81	,	,	PUNCT
ejpam-5344	92	82	[	[	X
ejpam-5344	92	83	ifigr2	ifigr2	X
ejpam-5344	92	84	]	]	X
ejpam-5344	92	85	(	(	PUNCT
ejpam-5344	92	86	iii	iii	NOUN
ejpam-5344	92	87	)	)	PUNCT
ejpam-5344	92	88	γa(x	γa(x	NUM
ejpam-5344	92	89	)	)	PUNCT
ejpam-5344	92	90	≤	≤	NUM
ejpam-5344	92	91	max	max	PROPN
ejpam-5344	92	92	{	{	PUNCT
ejpam-5344	92	93	sup	sup	NOUN
ejpam-5344	92	94	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	92	95	)	)	PUNCT
ejpam-5344	92	96	γa(v	γa(v	PUNCT
ejpam-5344	92	97	)	)	PUNCT
ejpam-5344	92	98	,	,	PUNCT
ejpam-5344	92	99	γa(z	γa(z	PROPN
ejpam-5344	92	100	)	)	PUNCT
ejpam-5344	92	101	}	}	PUNCT
ejpam-5344	92	102	.	.	PUNCT
ejpam-5344	93	1	[	[	X
ejpam-5344	93	2	ifigr3	ifigr3	X
ejpam-5344	93	3	]	]	X
ejpam-5344	93	4	a.	a.	NOUN
ejpam-5344	93	5	macodi	macodi	NOUN
ejpam-5344	93	6	,	,	PUNCT
ejpam-5344	93	7	a.	a.	NOUN
ejpam-5344	93	8	dorig	dorig	PROPN
ejpam-5344	93	9	/	/	SYM
ejpam-5344	93	10	eur	eur	PROPN
ejpam-5344	93	11	.	.	PUNCT
ejpam-5344	94	1	j.	j.	PROPN
ejpam-5344	94	2	pure	pure	PROPN
ejpam-5344	94	3	appl	appl	PROPN
ejpam-5344	94	4	.	.	PROPN
ejpam-5344	94	5	math	math	PROPN
ejpam-5344	94	6	,	,	PUNCT
ejpam-5344	94	7	17	17	NUM
ejpam-5344	94	8	(	(	PUNCT
ejpam-5344	94	9	3	3	NUM
ejpam-5344	94	10	)	)	PUNCT
ejpam-5344	94	11	(	(	PUNCT
ejpam-5344	94	12	2024	2024	NUM
ejpam-5344	94	13	)	)	PUNCT
ejpam-5344	94	14	,	,	PUNCT
ejpam-5344	94	15	2221	2221	NUM
ejpam-5344	94	16	-	-	SYM
ejpam-5344	94	17	2234	2234	NUM
ejpam-5344	94	18	2225	2225	NUM
ejpam-5344	94	19	the	the	DET
ejpam-5344	94	20	following	follow	VERB
ejpam-5344	94	21	examples	example	NOUN
ejpam-5344	94	22	illustrate	illustrate	VERB
ejpam-5344	94	23	the	the	DET
ejpam-5344	94	24	dissimilarity	dissimilarity	NOUN
ejpam-5344	94	25	of	of	ADP
ejpam-5344	94	26	intuitionistic	intuitionistic	ADJ
ejpam-5344	94	27	fuzzy	fuzzy	ADJ
ejpam-5344	94	28	implicative	implicative	ADJ
ejpam-5344	94	29	hyper	hyper	ADJ
ejpam-5344	94	30	gr	gr	NOUN
ejpam-5344	94	31	-	-	PUNCT
ejpam-5344	94	32	ideal	ideal	NOUN
ejpam-5344	94	33	from	from	ADP
ejpam-5344	94	34	intuitionistic	intuitionistic	ADJ
ejpam-5344	94	35	fuzzy	fuzzy	ADJ
ejpam-5344	94	36	hyper	hyper	ADJ
ejpam-5344	94	37	gr	gr	NOUN
ejpam-5344	94	38	-	-	PUNCT
ejpam-5344	94	39	ideal	ideal	NOUN
ejpam-5344	94	40	.	.	PUNCT
ejpam-5344	95	1	example	example	NOUN
ejpam-5344	96	1	1	1	NUM
ejpam-5344	96	2	.	.	X
ejpam-5344	96	3	consider	consider	VERB
ejpam-5344	96	4	the	the	DET
ejpam-5344	96	5	hyper	hyper	ADJ
ejpam-5344	96	6	gr	gr	NOUN
ejpam-5344	96	7	-	-	PUNCT
ejpam-5344	96	8	algebra	algebra	NOUN
ejpam-5344	96	9	h	h	NOUN
ejpam-5344	96	10	=	=	SYM
ejpam-5344	96	11	{	{	PUNCT
ejpam-5344	96	12	0	0	NUM
ejpam-5344	96	13	,	,	PUNCT
ejpam-5344	96	14	1	1	NUM
ejpam-5344	96	15	,	,	PUNCT
ejpam-5344	96	16	2	2	NUM
ejpam-5344	96	17	}	}	PUNCT
ejpam-5344	96	18	and	and	CCONJ
ejpam-5344	96	19	the	the	DET
ejpam-5344	96	20	cayley	cayley	ADJ
ejpam-5344	96	21	table	table	NOUN
ejpam-5344	96	22	in	in	ADP
ejpam-5344	96	23	table	table	NOUN
ejpam-5344	96	24	1	1	NUM
ejpam-5344	96	25	.	.	PUNCT
ejpam-5344	96	26	⊛	⊛	NUM
ejpam-5344	96	27	0	0	NUM
ejpam-5344	96	28	1	1	NUM
ejpam-5344	96	29	2	2	NUM
ejpam-5344	96	30	0	0	NUM
ejpam-5344	96	31	{	{	PUNCT
ejpam-5344	96	32	0,1	0,1	NUM
ejpam-5344	96	33	}	}	PUNCT
ejpam-5344	96	34	{	{	PUNCT
ejpam-5344	96	35	0,1	0,1	NOUN
ejpam-5344	96	36	}	}	PUNCT
ejpam-5344	96	37	{	{	PUNCT
ejpam-5344	96	38	0,1	0,1	NOUN
ejpam-5344	96	39	}	}	SYM
ejpam-5344	96	40	1	1	NUM
ejpam-5344	96	41	{	{	PUNCT
ejpam-5344	96	42	1	1	NUM
ejpam-5344	96	43	}	}	PUNCT
ejpam-5344	96	44	{	{	PUNCT
ejpam-5344	96	45	0,1	0,1	NOUN
ejpam-5344	96	46	}	}	PUNCT
ejpam-5344	96	47	{	{	PUNCT
ejpam-5344	96	48	0,1	0,1	NOUN
ejpam-5344	96	49	}	}	SYM
ejpam-5344	96	50	2	2	NUM
ejpam-5344	96	51	{	{	PUNCT
ejpam-5344	96	52	0,2	0,2	NUM
ejpam-5344	96	53	}	}	PUNCT
ejpam-5344	96	54	{	{	PUNCT
ejpam-5344	96	55	0,2	0,2	NUM
ejpam-5344	96	56	}	}	PUNCT
ejpam-5344	96	57	{	{	PUNCT
ejpam-5344	96	58	0,1,2	0,1,2	NOUN
ejpam-5344	96	59	}	}	PUNCT
ejpam-5344	96	60	table	table	NOUN
ejpam-5344	96	61	1	1	NUM
ejpam-5344	96	62	:	:	PUNCT
ejpam-5344	96	63	hyper	hyper	ADJ
ejpam-5344	96	64	gr	gr	NOUN
ejpam-5344	96	65	-	-	PUNCT
ejpam-5344	96	66	algebra	algebra	NOUN
ejpam-5344	96	67	define	define	VERB
ejpam-5344	96	68	the	the	DET
ejpam-5344	96	69	fuzzy	fuzzy	ADJ
ejpam-5344	96	70	sets	set	NOUN
ejpam-5344	96	71	µa	µa	NOUN
ejpam-5344	96	72	and	and	CCONJ
ejpam-5344	96	73	γa	γa	PROPN
ejpam-5344	96	74	,	,	PUNCT
ejpam-5344	96	75	respectively	respectively	ADV
ejpam-5344	96	76	by	by	ADP
ejpam-5344	96	77	,	,	PUNCT
ejpam-5344	96	78	µa(x	µa(x	NOUN
ejpam-5344	96	79	)	)	PUNCT
ejpam-5344	96	80	=	=	PUNCT
ejpam-5344	96	81			X
ejpam-5344	96	82	0.5	0.5	NUM
ejpam-5344	96	83	,	,	PUNCT
ejpam-5344	96	84	if	if	SCONJ
ejpam-5344	96	85	x	x	ADP
ejpam-5344	96	86	=	=	SYM
ejpam-5344	96	87	0	0	NUM
ejpam-5344	96	88	0.3	0.3	NUM
ejpam-5344	96	89	,	,	PUNCT
ejpam-5344	96	90	if	if	SCONJ
ejpam-5344	96	91	x	x	ADP
ejpam-5344	96	92	=	=	SYM
ejpam-5344	96	93	1	1	NUM
ejpam-5344	96	94	0.2	0.2	NUM
ejpam-5344	96	95	if	if	SCONJ
ejpam-5344	96	96	x	x	NOUN
ejpam-5344	96	97	=	=	SYM
ejpam-5344	96	98	2	2	NUM
ejpam-5344	96	99	and	and	CCONJ
ejpam-5344	96	100	γa(x	γa(x	NUM
ejpam-5344	96	101	)	)	PUNCT
ejpam-5344	96	102	=	=	PUNCT
ejpam-5344	96	103			X
ejpam-5344	96	104	0.4	0.4	NUM
ejpam-5344	96	105	,	,	PUNCT
ejpam-5344	96	106	if	if	SCONJ
ejpam-5344	96	107	x	x	ADP
ejpam-5344	96	108	=	=	SYM
ejpam-5344	96	109	0	0	NUM
ejpam-5344	96	110	0.6	0.6	NUM
ejpam-5344	96	111	,	,	PUNCT
ejpam-5344	96	112	if	if	SCONJ
ejpam-5344	96	113	x	x	ADP
ejpam-5344	96	114	=	=	SYM
ejpam-5344	96	115	1	1	NUM
ejpam-5344	96	116	0.7	0.7	NUM
ejpam-5344	96	117	if	if	SCONJ
ejpam-5344	96	118	x	x	PROPN
ejpam-5344	96	119	=	=	SYM
ejpam-5344	96	120	2	2	NUM
ejpam-5344	96	121	.	.	PUNCT
ejpam-5344	97	1	(	(	PUNCT
ejpam-5344	97	2	i	i	NOUN
ejpam-5344	97	3	)	)	PUNCT
ejpam-5344	97	4	clearly	clearly	ADV
ejpam-5344	97	5	,	,	PUNCT
ejpam-5344	97	6	µa(0	µa(0	NOUN
ejpam-5344	97	7	)	)	PUNCT
ejpam-5344	97	8	≥	≥	NOUN
ejpam-5344	97	9	µa(x	µa(x	NOUN
ejpam-5344	97	10	)	)	PUNCT
ejpam-5344	97	11	and	and	CCONJ
ejpam-5344	97	12	γa(0	γa(0	NOUN
ejpam-5344	97	13	)	)	PUNCT
ejpam-5344	97	14	≤	≤	NOUN
ejpam-5344	97	15	γa(x	γa(x	NUM
ejpam-5344	97	16	)	)	PUNCT
ejpam-5344	97	17	for	for	ADP
ejpam-5344	97	18	all	all	DET
ejpam-5344	97	19	x	x	SYM
ejpam-5344	97	20	∈	∈	PROPN
ejpam-5344	97	21	h.	h.	PROPN
ejpam-5344	97	22	(	(	PUNCT
ejpam-5344	97	23	ii	ii	NOUN
ejpam-5344	97	24	)	)	PUNCT
ejpam-5344	97	25	table	table	NOUN
ejpam-5344	97	26	2	2	NUM
ejpam-5344	97	27	and	and	CCONJ
ejpam-5344	97	28	table	table	NOUN
ejpam-5344	97	29	3	3	NUM
ejpam-5344	97	30	show	show	VERB
ejpam-5344	97	31	that	that	SCONJ
ejpam-5344	97	32	µa(x	µa(x	NOUN
ejpam-5344	97	33	)	)	PUNCT
ejpam-5344	97	34	≥	≥	PROPN
ejpam-5344	97	35	min	min	PROPN
ejpam-5344	97	36	{	{	PUNCT
ejpam-5344	97	37	inf	inf	NOUN
ejpam-5344	97	38	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	97	39	)	)	PUNCT
ejpam-5344	97	40	µa(u	µa(u	NOUN
ejpam-5344	97	41	)	)	PUNCT
ejpam-5344	97	42	,	,	PUNCT
ejpam-5344	97	43	µa(z	µa(z	PRON
ejpam-5344	97	44	)	)	PUNCT
ejpam-5344	97	45	}	}	PUNCT
ejpam-5344	97	46	.	.	PUNCT
ejpam-5344	98	1	x	x	X
ejpam-5344	99	1	z	z	NOUN
ejpam-5344	99	2	x⊛	x⊛	PROPN
ejpam-5344	99	3	z	z	NOUN
ejpam-5344	99	4	y	y	PROPN
ejpam-5344	99	5	⊛	⊛	NUM
ejpam-5344	99	6	x	x	SYM
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ejpam-5344	99	9	(	(	PUNCT
ejpam-5344	99	10	x⊛	x⊛	PROPN
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ejpam-5344	99	12	(	(	PUNCT
ejpam-5344	99	13	y	y	PROPN
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ejpam-5344	100	3	1	1	NUM
ejpam-5344	100	4	y	y	NOUN
ejpam-5344	100	5	=	=	SYM
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ejpam-5344	100	7	y	y	NOUN
ejpam-5344	100	8	=	=	SYM
ejpam-5344	100	9	0	0	PUNCT
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ejpam-5344	101	3	1	1	NUM
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ejpam-5344	101	5	=	=	SYM
ejpam-5344	101	6	2	2	NUM
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ejpam-5344	101	8	0	0	NUM
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ejpam-5344	101	10	0,1	0,1	NUM
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ejpam-5344	101	45	0,1	0,1	NOUN
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ejpam-5344	101	51	0,1	0,1	NOUN
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ejpam-5344	101	65	0,2	0,2	NUM
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ejpam-5344	101	68	0,1	0,1	NOUN
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ejpam-5344	101	88	0,2	0,2	NUM
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ejpam-5344	101	100	1	1	NUM
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ejpam-5344	110	4	:	:	PUNCT
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ejpam-5344	111	9	3	3	NUM
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ejpam-5344	111	11	(	(	PUNCT
ejpam-5344	111	12	2024	2024	NUM
ejpam-5344	111	13	)	)	PUNCT
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ejpam-5344	111	17	2234	2234	NUM
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ejpam-5344	111	25	)	)	PUNCT
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ejpam-5344	111	34	)	)	PUNCT
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ejpam-5344	112	43	0.3	0.3	NUM
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ejpam-5344	112	98	0.2	0.2	NUM
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ejpam-5344	112	126	:	:	PUNCT
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ejpam-5344	112	130	iii	iii	X
ejpam-5344	112	131	)	)	PUNCT
ejpam-5344	112	132	table	table	NOUN
ejpam-5344	112	133	2	2	NUM
ejpam-5344	112	134	and	and	CCONJ
ejpam-5344	112	135	table	table	NOUN
ejpam-5344	112	136	4	4	NUM
ejpam-5344	112	137	show	show	VERB
ejpam-5344	112	138	that	that	SCONJ
ejpam-5344	112	139	γa(x	γa(x	NUM
ejpam-5344	112	140	)	)	PUNCT
ejpam-5344	112	141	≤	≤	NUM
ejpam-5344	112	142	max	max	PROPN
ejpam-5344	112	143	{	{	PUNCT
ejpam-5344	112	144	sup	sup	NOUN
ejpam-5344	112	145	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	112	146	)	)	PUNCT
ejpam-5344	112	147	γa(v	γa(v	PUNCT
ejpam-5344	112	148	)	)	PUNCT
ejpam-5344	112	149	,	,	PUNCT
ejpam-5344	112	150	γa(z	γa(z	PROPN
ejpam-5344	112	151	)	)	PUNCT
ejpam-5344	112	152	}	}	PUNCT
ejpam-5344	112	153	.	.	PUNCT
ejpam-5344	113	1	x	x	PUNCT
ejpam-5344	114	1	z	z	NOUN
ejpam-5344	114	2	t	t	NOUN
ejpam-5344	114	3	=	=	SYM
ejpam-5344	114	4	sup	sup	NOUN
ejpam-5344	114	5	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	114	6	)	)	PUNCT
ejpam-5344	114	7	γa(v	γa(v	PUNCT
ejpam-5344	114	8	)	)	PUNCT
ejpam-5344	114	9	max{t	max{t	NOUN
ejpam-5344	114	10	,	,	PUNCT
ejpam-5344	114	11	γa(z	γa(z	NOUN
ejpam-5344	114	12	)	)	PUNCT
ejpam-5344	114	13	}	}	PUNCT
ejpam-5344	114	14	γa(x	γa(x	NUM
ejpam-5344	114	15	)	)	PUNCT
ejpam-5344	114	16	≤	≤	NUM
ejpam-5344	114	17	max{t	max{t	NOUN
ejpam-5344	114	18	,	,	PUNCT
ejpam-5344	114	19	γa(z	γa(z	PROPN
ejpam-5344	114	20	)	)	PUNCT
ejpam-5344	114	21	}	}	PUNCT
ejpam-5344	115	1	y	y	NOUN
ejpam-5344	115	2	=	=	SYM
ejpam-5344	115	3	0	0	PUNCT
ejpam-5344	116	1	y	y	NOUN
ejpam-5344	116	2	=	=	SYM
ejpam-5344	116	3	1	1	NUM
ejpam-5344	116	4	y	y	NOUN
ejpam-5344	116	5	=	=	SYM
ejpam-5344	116	6	2	2	NUM
ejpam-5344	116	7	y	y	NOUN
ejpam-5344	116	8	=	=	SYM
ejpam-5344	116	9	0	0	PUNCT
ejpam-5344	116	10	y	y	NOUN
ejpam-5344	116	11	=	=	SYM
ejpam-5344	116	12	1	1	NUM
ejpam-5344	116	13	y	y	NOUN
ejpam-5344	116	14	=	=	SYM
ejpam-5344	116	15	2	2	NUM
ejpam-5344	116	16	y	y	NOUN
ejpam-5344	116	17	=	=	SYM
ejpam-5344	116	18	0	0	PUNCT
ejpam-5344	116	19	y	y	NOUN
ejpam-5344	116	20	=	=	SYM
ejpam-5344	116	21	1	1	NUM
ejpam-5344	116	22	y	y	NOUN
ejpam-5344	116	23	=	=	SYM
ejpam-5344	116	24	2	2	NUM
ejpam-5344	116	25	0	0	NUM
ejpam-5344	116	26	0	0	NUM
ejpam-5344	116	27	0.6	0.6	NUM
ejpam-5344	116	28	0.6	0.6	NUM
ejpam-5344	116	29	0.6	0.6	NUM
ejpam-5344	116	30	0.6	0.6	NUM
ejpam-5344	116	31	0.6	0.6	NUM
ejpam-5344	116	32	0.6	0.6	NUM
ejpam-5344	116	33	�	�	PROPN
ejpam-5344	116	34	�	�	PROPN
ejpam-5344	116	35	�	�	PROPN
ejpam-5344	116	36	0	0	NUM
ejpam-5344	116	37	1	1	NUM
ejpam-5344	116	38	0.6	0.6	NUM
ejpam-5344	116	39	0.6	0.6	NUM
ejpam-5344	116	40	0.6	0.6	NUM
ejpam-5344	116	41	0.6	0.6	NUM
ejpam-5344	116	42	0.6	0.6	NUM
ejpam-5344	116	43	0.6	0.6	NUM
ejpam-5344	116	44	�	�	PROPN
ejpam-5344	116	45	�	�	PROPN
ejpam-5344	116	46	�	�	PROPN
ejpam-5344	116	47	0	0	NUM
ejpam-5344	116	48	2	2	NUM
ejpam-5344	116	49	0.6	0.6	NUM
ejpam-5344	116	50	0.6	0.6	NUM
ejpam-5344	116	51	0.6	0.6	NUM
ejpam-5344	116	52	0.7	0.7	NUM
ejpam-5344	116	53	0.7	0.7	NUM
ejpam-5344	116	54	0.7	0.7	NUM
ejpam-5344	116	55	�	�	PROPN
ejpam-5344	116	56	�	�	PROPN
ejpam-5344	116	57	�	�	PROPN
ejpam-5344	116	58	1	1	NUM
ejpam-5344	116	59	0	0	NUM
ejpam-5344	116	60	0.6	0.6	NUM
ejpam-5344	116	61	0.6	0.6	NUM
ejpam-5344	116	62	0.6	0.6	NUM
ejpam-5344	116	63	0.6	0.6	NUM
ejpam-5344	116	64	0.6	0.6	NUM
ejpam-5344	116	65	0.6	0.6	NUM
ejpam-5344	116	66	�	�	PROPN
ejpam-5344	116	67	�	�	PROPN
ejpam-5344	116	68	�	�	PROPN
ejpam-5344	116	69	1	1	NUM
ejpam-5344	116	70	1	1	NUM
ejpam-5344	116	71	0.6	0.6	NUM
ejpam-5344	116	72	0.6	0.6	NUM
ejpam-5344	116	73	0.6	0.6	NUM
ejpam-5344	116	74	0.6	0.6	NUM
ejpam-5344	116	75	0.6	0.6	NUM
ejpam-5344	116	76	0.6	0.6	NUM
ejpam-5344	116	77	�	�	PROPN
ejpam-5344	116	78	�	�	PROPN
ejpam-5344	116	79	�	�	PROPN
ejpam-5344	116	80	1	1	NUM
ejpam-5344	116	81	2	2	NUM
ejpam-5344	116	82	0.6	0.6	NUM
ejpam-5344	116	83	0.6	0.6	NUM
ejpam-5344	116	84	0.6	0.6	NUM
ejpam-5344	116	85	0.7	0.7	NUM
ejpam-5344	116	86	0.7	0.7	NUM
ejpam-5344	116	87	0.7	0.7	NUM
ejpam-5344	116	88	�	�	PROPN
ejpam-5344	116	89	�	�	PROPN
ejpam-5344	116	90	�	�	PROPN
ejpam-5344	116	91	2	2	NUM
ejpam-5344	116	92	0	0	NUM
ejpam-5344	116	93	0.7	0.7	NUM
ejpam-5344	116	94	0.7	0.7	NUM
ejpam-5344	116	95	0.7	0.7	NUM
ejpam-5344	116	96	0.7	0.7	NUM
ejpam-5344	116	97	0.7	0.7	NUM
ejpam-5344	116	98	0.7	0.7	NUM
ejpam-5344	116	99	�	�	PROPN
ejpam-5344	116	100	�	�	PROPN
ejpam-5344	116	101	�	�	PROPN
ejpam-5344	116	102	2	2	NUM
ejpam-5344	116	103	1	1	NUM
ejpam-5344	116	104	0.7	0.7	NUM
ejpam-5344	116	105	0.7	0.7	NUM
ejpam-5344	116	106	0.7	0.7	NUM
ejpam-5344	116	107	0.7	0.7	NUM
ejpam-5344	116	108	0.7	0.7	NUM
ejpam-5344	116	109	0.7	0.7	NUM
ejpam-5344	116	110	�	�	PROPN
ejpam-5344	116	111	�	�	PROPN
ejpam-5344	116	112	�	�	PROPN
ejpam-5344	116	113	2	2	NUM
ejpam-5344	116	114	2	2	NUM
ejpam-5344	116	115	0.7	0.7	NUM
ejpam-5344	116	116	0.7	0.7	NUM
ejpam-5344	116	117	0.7	0.7	NUM
ejpam-5344	116	118	0.7	0.7	NUM
ejpam-5344	116	119	0.7	0.7	NUM
ejpam-5344	116	120	0.7	0.7	NUM
ejpam-5344	116	121	�	�	PROPN
ejpam-5344	116	122	�	�	PROPN
ejpam-5344	116	123	�	�	PROPN
ejpam-5344	116	124	table	table	NOUN
ejpam-5344	116	125	4	4	NUM
ejpam-5344	116	126	:	:	PUNCT
ejpam-5344	116	127	ifigr3	ifigr3	NOUN
ejpam-5344	116	128	thus	thus	ADV
ejpam-5344	116	129	,	,	PUNCT
ejpam-5344	116	130	a	a	PRON
ejpam-5344	116	131	=	=	X
ejpam-5344	116	132	(	(	PUNCT
ejpam-5344	116	133	µa	µa	INTJ
ejpam-5344	116	134	,	,	PUNCT
ejpam-5344	116	135	γa	γa	PROPN
ejpam-5344	116	136	)	)	PUNCT
ejpam-5344	116	137	is	be	AUX
ejpam-5344	116	138	an	an	DET
ejpam-5344	116	139	intuitionistic	intuitionistic	ADJ
ejpam-5344	116	140	fuzzy	fuzzy	ADJ
ejpam-5344	116	141	implicative	implicative	ADJ
ejpam-5344	116	142	hyper	hyper	ADJ
ejpam-5344	116	143	gr	gr	NOUN
ejpam-5344	116	144	-	-	PUNCT
ejpam-5344	116	145	ideal	ideal	NOUN
ejpam-5344	116	146	of	of	ADP
ejpam-5344	116	147	hyper	hyper	ADJ
ejpam-5344	116	148	gr	gr	PROPN
ejpam-5344	116	149	-	-	PUNCT
ejpam-5344	116	150	algebra	algebra	NOUN
ejpam-5344	116	151	h.	h.	PROPN
ejpam-5344	116	152	example	example	NOUN
ejpam-5344	116	153	2	2	X
ejpam-5344	116	154	.	.	X
ejpam-5344	116	155	consider	consider	VERB
ejpam-5344	116	156	the	the	DET
ejpam-5344	116	157	hyper	hyper	ADJ
ejpam-5344	116	158	gr	gr	NOUN
ejpam-5344	116	159	-	-	PUNCT
ejpam-5344	116	160	algebra	algebra	NOUN
ejpam-5344	116	161	h	h	NOUN
ejpam-5344	116	162	=	=	SYM
ejpam-5344	116	163	{	{	PUNCT
ejpam-5344	116	164	0	0	NUM
ejpam-5344	116	165	,	,	PUNCT
ejpam-5344	116	166	1	1	NUM
ejpam-5344	116	167	,	,	PUNCT
ejpam-5344	116	168	2	2	NUM
ejpam-5344	116	169	}	}	PUNCT
ejpam-5344	116	170	and	and	CCONJ
ejpam-5344	116	171	the	the	DET
ejpam-5344	116	172	cayley	cayley	ADJ
ejpam-5344	116	173	table	table	NOUN
ejpam-5344	116	174	in	in	ADP
ejpam-5344	116	175	table	table	NOUN
ejpam-5344	116	176	5	5	NUM
ejpam-5344	116	177	.	.	PUNCT
ejpam-5344	116	178	⊛	⊛	NUM
ejpam-5344	116	179	0	0	NUM
ejpam-5344	116	180	1	1	NUM
ejpam-5344	116	181	2	2	NUM
ejpam-5344	116	182	0	0	NUM
ejpam-5344	116	183	{	{	PUNCT
ejpam-5344	116	184	0,1	0,1	NUM
ejpam-5344	116	185	}	}	PUNCT
ejpam-5344	116	186	{	{	PUNCT
ejpam-5344	116	187	0,1	0,1	NOUN
ejpam-5344	116	188	}	}	PUNCT
ejpam-5344	116	189	{	{	PUNCT
ejpam-5344	116	190	0,1	0,1	NOUN
ejpam-5344	116	191	}	}	SYM
ejpam-5344	116	192	1	1	NUM
ejpam-5344	116	193	{	{	PUNCT
ejpam-5344	116	194	0	0	NUM
ejpam-5344	116	195	}	}	PUNCT
ejpam-5344	116	196	{	{	PUNCT
ejpam-5344	116	197	0,1	0,1	NOUN
ejpam-5344	116	198	}	}	PUNCT
ejpam-5344	116	199	{	{	PUNCT
ejpam-5344	116	200	0,1	0,1	NOUN
ejpam-5344	116	201	}	}	SYM
ejpam-5344	116	202	2	2	NUM
ejpam-5344	116	203	{	{	PUNCT
ejpam-5344	116	204	0,2	0,2	NUM
ejpam-5344	116	205	}	}	PUNCT
ejpam-5344	116	206	{	{	PUNCT
ejpam-5344	116	207	0,2	0,2	NUM
ejpam-5344	116	208	}	}	PUNCT
ejpam-5344	116	209	{	{	PUNCT
ejpam-5344	116	210	0,1,2	0,1,2	NOUN
ejpam-5344	116	211	}	}	PUNCT
ejpam-5344	116	212	table	table	NOUN
ejpam-5344	116	213	5	5	NUM
ejpam-5344	116	214	:	:	PUNCT
ejpam-5344	116	215	hyper	hyper	ADJ
ejpam-5344	116	216	gr	gr	NOUN
ejpam-5344	116	217	-	-	PUNCT
ejpam-5344	116	218	algebra	algebra	NOUN
ejpam-5344	116	219	a.	a.	NOUN
ejpam-5344	116	220	macodi	macodi	NOUN
ejpam-5344	116	221	,	,	PUNCT
ejpam-5344	116	222	a.	a.	NOUN
ejpam-5344	116	223	dorig	dorig	PROPN
ejpam-5344	116	224	/	/	SYM
ejpam-5344	116	225	eur	eur	PROPN
ejpam-5344	116	226	.	.	PUNCT
ejpam-5344	117	1	j.	j.	PROPN
ejpam-5344	117	2	pure	pure	PROPN
ejpam-5344	117	3	appl	appl	PROPN
ejpam-5344	117	4	.	.	PROPN
ejpam-5344	117	5	math	math	PROPN
ejpam-5344	117	6	,	,	PUNCT
ejpam-5344	117	7	17	17	NUM
ejpam-5344	117	8	(	(	PUNCT
ejpam-5344	117	9	3	3	NUM
ejpam-5344	117	10	)	)	PUNCT
ejpam-5344	117	11	(	(	PUNCT
ejpam-5344	117	12	2024	2024	NUM
ejpam-5344	117	13	)	)	PUNCT
ejpam-5344	117	14	,	,	PUNCT
ejpam-5344	117	15	2221	2221	NUM
ejpam-5344	117	16	-	-	SYM
ejpam-5344	117	17	2234	2234	NUM
ejpam-5344	117	18	2227	2227	NUM
ejpam-5344	117	19	define	define	VERB
ejpam-5344	117	20	the	the	DET
ejpam-5344	117	21	fuzzy	fuzzy	ADJ
ejpam-5344	117	22	sets	set	NOUN
ejpam-5344	117	23	µa	µa	NOUN
ejpam-5344	117	24	and	and	CCONJ
ejpam-5344	117	25	γa	γa	PROPN
ejpam-5344	117	26	,	,	PUNCT
ejpam-5344	117	27	respectively	respectively	ADV
ejpam-5344	117	28	by	by	ADP
ejpam-5344	117	29	,	,	PUNCT
ejpam-5344	117	30	µa(x	µa(x	NOUN
ejpam-5344	117	31	)	)	PUNCT
ejpam-5344	117	32	=	=	PUNCT
ejpam-5344	117	33			X
ejpam-5344	117	34	0.5	0.5	NUM
ejpam-5344	117	35	,	,	PUNCT
ejpam-5344	117	36	if	if	SCONJ
ejpam-5344	117	37	x	x	ADP
ejpam-5344	117	38	=	=	SYM
ejpam-5344	117	39	0	0	NUM
ejpam-5344	117	40	0.3	0.3	NUM
ejpam-5344	117	41	,	,	PUNCT
ejpam-5344	117	42	if	if	SCONJ
ejpam-5344	117	43	x	x	ADP
ejpam-5344	117	44	=	=	SYM
ejpam-5344	117	45	1	1	NUM
ejpam-5344	117	46	0.2	0.2	NUM
ejpam-5344	117	47	if	if	SCONJ
ejpam-5344	117	48	x	x	NOUN
ejpam-5344	117	49	=	=	SYM
ejpam-5344	117	50	2	2	NUM
ejpam-5344	117	51	and	and	CCONJ
ejpam-5344	117	52	γa(x	γa(x	NUM
ejpam-5344	117	53	)	)	PUNCT
ejpam-5344	117	54	=	=	PUNCT
ejpam-5344	117	55			X
ejpam-5344	117	56	0.4	0.4	NUM
ejpam-5344	117	57	,	,	PUNCT
ejpam-5344	117	58	if	if	SCONJ
ejpam-5344	117	59	x	x	ADP
ejpam-5344	117	60	=	=	SYM
ejpam-5344	117	61	0	0	NUM
ejpam-5344	117	62	0.6	0.6	NUM
ejpam-5344	117	63	,	,	PUNCT
ejpam-5344	117	64	if	if	SCONJ
ejpam-5344	117	65	x	x	ADP
ejpam-5344	117	66	=	=	SYM
ejpam-5344	117	67	1	1	NUM
ejpam-5344	117	68	0.7	0.7	NUM
ejpam-5344	117	69	if	if	SCONJ
ejpam-5344	117	70	x	x	PROPN
ejpam-5344	117	71	=	=	SYM
ejpam-5344	117	72	2	2	NUM
ejpam-5344	117	73	.	.	PUNCT
ejpam-5344	118	1	(	(	PUNCT
ejpam-5344	118	2	i	i	NOUN
ejpam-5344	118	3	)	)	PUNCT
ejpam-5344	118	4	clearly	clearly	ADV
ejpam-5344	118	5	,	,	PUNCT
ejpam-5344	118	6	µa(0	µa(0	NOUN
ejpam-5344	118	7	)	)	PUNCT
ejpam-5344	118	8	≥	≥	NOUN
ejpam-5344	118	9	µa(x	µa(x	NOUN
ejpam-5344	118	10	)	)	PUNCT
ejpam-5344	118	11	and	and	CCONJ
ejpam-5344	118	12	γa(0	γa(0	NOUN
ejpam-5344	118	13	)	)	PUNCT
ejpam-5344	118	14	≤	≤	NOUN
ejpam-5344	118	15	γa(x	γa(x	NUM
ejpam-5344	118	16	)	)	PUNCT
ejpam-5344	118	17	for	for	ADP
ejpam-5344	118	18	all	all	DET
ejpam-5344	118	19	x	x	SYM
ejpam-5344	118	20	∈	∈	PROPN
ejpam-5344	118	21	h.	h.	PROPN
ejpam-5344	118	22	(	(	PUNCT
ejpam-5344	118	23	ii	ii	NOUN
ejpam-5344	118	24	)	)	PUNCT
ejpam-5344	118	25	table	table	NOUN
ejpam-5344	118	26	6	6	NUM
ejpam-5344	118	27	and	and	CCONJ
ejpam-5344	118	28	table	table	NOUN
ejpam-5344	118	29	7	7	NUM
ejpam-5344	118	30	show	show	VERB
ejpam-5344	118	31	that	that	SCONJ
ejpam-5344	118	32	µa(x	µa(x	NOUN
ejpam-5344	118	33	)	)	PUNCT
ejpam-5344	118	34	≥	≥	PROPN
ejpam-5344	118	35	min	min	PROPN
ejpam-5344	118	36	{	{	PUNCT
ejpam-5344	118	37	inf	inf	NOUN
ejpam-5344	118	38	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	118	39	)	)	PUNCT
ejpam-5344	118	40	µa(u	µa(u	NOUN
ejpam-5344	118	41	)	)	PUNCT
ejpam-5344	118	42	,	,	PUNCT
ejpam-5344	118	43	µa(z	µa(z	PRON
ejpam-5344	118	44	)	)	PUNCT
ejpam-5344	118	45	}	}	PUNCT
ejpam-5344	118	46	.	.	PUNCT
ejpam-5344	119	1	x	x	X
ejpam-5344	120	1	z	z	NOUN
ejpam-5344	120	2	x⊛	x⊛	PROPN
ejpam-5344	120	3	z	z	NOUN
ejpam-5344	120	4	y	y	PROPN
ejpam-5344	120	5	⊛	⊛	NUM
ejpam-5344	120	6	x	x	SYM
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ejpam-5344	120	9	(	(	PUNCT
ejpam-5344	120	10	x⊛	x⊛	PROPN
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ejpam-5344	120	12	(	(	PUNCT
ejpam-5344	120	13	y	y	PROPN
ejpam-5344	120	14	⊛	⊛	NUM
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ejpam-5344	120	17	y	y	PROPN
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ejpam-5344	121	3	1	1	NUM
ejpam-5344	121	4	y	y	NOUN
ejpam-5344	121	5	=	=	SYM
ejpam-5344	121	6	2	2	NUM
ejpam-5344	121	7	y	y	NOUN
ejpam-5344	121	8	=	=	SYM
ejpam-5344	121	9	0	0	PUNCT
ejpam-5344	122	1	y	y	NOUN
ejpam-5344	122	2	=	=	SYM
ejpam-5344	122	3	1	1	NUM
ejpam-5344	122	4	y	y	NOUN
ejpam-5344	122	5	=	=	SYM
ejpam-5344	122	6	2	2	NUM
ejpam-5344	122	7	0	0	NUM
ejpam-5344	122	8	0	0	NUM
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ejpam-5344	122	10	0,1	0,1	NUM
ejpam-5344	122	11	}	}	PUNCT
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ejpam-5344	122	13	0,1	0,1	NOUN
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ejpam-5344	122	15	{	{	PUNCT
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ejpam-5344	122	18	{	{	PUNCT
ejpam-5344	122	19	1,2	1,2	NUM
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ejpam-5344	122	22	0,1	0,1	NOUN
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ejpam-5344	122	25	0,1	0,1	NOUN
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ejpam-5344	122	36	0,1	0,1	NOUN
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ejpam-5344	122	38	{	{	PUNCT
ejpam-5344	122	39	0	0	NUM
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ejpam-5344	122	41	{	{	PUNCT
ejpam-5344	122	42	1,2	1,2	NUM
ejpam-5344	122	43	}	}	PUNCT
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ejpam-5344	122	45	0,1	0,1	NOUN
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ejpam-5344	122	48	0,1	0,1	NOUN
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ejpam-5344	122	51	0,1	0,1	NOUN
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ejpam-5344	122	53	0	0	NUM
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ejpam-5344	122	55	{	{	PUNCT
ejpam-5344	122	56	0,1	0,1	NUM
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ejpam-5344	122	59	0,1	0,1	NOUN
ejpam-5344	122	60	}	}	PUNCT
ejpam-5344	122	61	{	{	PUNCT
ejpam-5344	122	62	0	0	NUM
ejpam-5344	122	63	}	}	PUNCT
ejpam-5344	122	64	{	{	PUNCT
ejpam-5344	122	65	1,2	1,2	NUM
ejpam-5344	122	66	}	}	PUNCT
ejpam-5344	122	67	{	{	PUNCT
ejpam-5344	122	68	0,1	0,1	NOUN
ejpam-5344	122	69	}	}	PUNCT
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ejpam-5344	122	71	0,1	0,1	NOUN
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ejpam-5344	122	73	{	{	PUNCT
ejpam-5344	122	74	0,1	0,1	NOUN
ejpam-5344	122	75	}	}	SYM
ejpam-5344	122	76	1	1	NUM
ejpam-5344	122	77	0	0	NUM
ejpam-5344	122	78	{	{	PUNCT
ejpam-5344	122	79	0	0	NUM
ejpam-5344	122	80	}	}	PUNCT
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ejpam-5344	122	82	0,1	0,1	NOUN
ejpam-5344	122	83	}	}	PUNCT
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ejpam-5344	122	85	0,1	0,1	NOUN
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ejpam-5344	122	88	0,2	0,2	NUM
ejpam-5344	122	89	}	}	PUNCT
ejpam-5344	122	90	{	{	PUNCT
ejpam-5344	122	91	0,1	0,1	NOUN
ejpam-5344	122	92	}	}	PUNCT
ejpam-5344	122	93	{	{	PUNCT
ejpam-5344	122	94	0,1	0,1	NOUN
ejpam-5344	122	95	}	}	PUNCT
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ejpam-5344	122	97	0,1	0,1	NOUN
ejpam-5344	122	98	}	}	SYM
ejpam-5344	122	99	1	1	NUM
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ejpam-5344	122	102	0,1	0,1	NUM
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ejpam-5344	122	104	{	{	PUNCT
ejpam-5344	122	105	0,1	0,1	NOUN
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ejpam-5344	122	110	{	{	PUNCT
ejpam-5344	122	111	0,2	0,2	NUM
ejpam-5344	122	112	}	}	PUNCT
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ejpam-5344	122	114	0,1	0,1	NOUN
ejpam-5344	122	115	}	}	PUNCT
ejpam-5344	122	116	{	{	PUNCT
ejpam-5344	122	117	0,1	0,1	NOUN
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ejpam-5344	122	120	0,1	0,1	NOUN
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ejpam-5344	126	12	h	h	NOUN
ejpam-5344	127	1	h	h	NOUN
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ejpam-5344	127	3	h	h	NOUN
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ejpam-5344	128	4	{	{	PUNCT
ejpam-5344	128	5	0,1	0,1	NOUN
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ejpam-5344	128	10	h	h	NOUN
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ejpam-5344	130	1	h	h	NOUN
ejpam-5344	131	1	h	h	PROPN
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ejpam-5344	131	4	:	:	PUNCT
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ejpam-5344	131	6	x	x	X
ejpam-5344	131	7	z	z	NOUN
ejpam-5344	131	8	s	s	NOUN
ejpam-5344	131	9	=	=	X
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ejpam-5344	131	12	)	)	PUNCT
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ejpam-5344	131	14	)	)	PUNCT
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ejpam-5344	131	21	)	)	PUNCT
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ejpam-5344	132	3	1	1	NUM
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ejpam-5344	132	5	=	=	SYM
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ejpam-5344	132	9	0	0	PUNCT
ejpam-5344	132	10	y	y	NOUN
ejpam-5344	132	11	=	=	SYM
ejpam-5344	132	12	1	1	NUM
ejpam-5344	132	13	y	y	NOUN
ejpam-5344	132	14	=	=	SYM
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ejpam-5344	132	18	0	0	PUNCT
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ejpam-5344	132	21	1	1	NUM
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ejpam-5344	132	29	0.3	0.3	NUM
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ejpam-5344	132	41	0.3	0.3	NUM
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ejpam-5344	132	68	�	�	PROPN
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ejpam-5344	132	90	�	�	PROPN
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ejpam-5344	132	94	0.2	0.2	NUM
ejpam-5344	132	95	0.2	0.2	NUM
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ejpam-5344	132	110	�	�	PROPN
ejpam-5344	132	111	�	�	PROPN
ejpam-5344	132	112	�	�	PROPN
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ejpam-5344	132	117	0.2	0.2	NUM
ejpam-5344	132	118	0.2	0.2	NUM
ejpam-5344	132	119	0.2	0.2	NUM
ejpam-5344	132	120	0.2	0.2	NUM
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ejpam-5344	132	122	�	�	PROPN
ejpam-5344	132	123	�	�	PROPN
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ejpam-5344	132	126	:	:	PUNCT
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ejpam-5344	132	129	(	(	PUNCT
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ejpam-5344	132	131	)	)	PUNCT
ejpam-5344	132	132	table	table	NOUN
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ejpam-5344	132	147	γa(v	γa(v	PUNCT
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ejpam-5344	133	7	eur	eur	PROPN
ejpam-5344	133	8	.	.	PUNCT
ejpam-5344	134	1	j.	j.	PROPN
ejpam-5344	134	2	pure	pure	PROPN
ejpam-5344	134	3	appl	appl	PROPN
ejpam-5344	134	4	.	.	PROPN
ejpam-5344	134	5	math	math	PROPN
ejpam-5344	134	6	,	,	PUNCT
ejpam-5344	134	7	17	17	NUM
ejpam-5344	134	8	(	(	PUNCT
ejpam-5344	134	9	3	3	NUM
ejpam-5344	134	10	)	)	PUNCT
ejpam-5344	134	11	(	(	PUNCT
ejpam-5344	134	12	2024	2024	NUM
ejpam-5344	134	13	)	)	PUNCT
ejpam-5344	134	14	,	,	PUNCT
ejpam-5344	134	15	2221	2221	NUM
ejpam-5344	134	16	-	-	SYM
ejpam-5344	134	17	2234	2234	NUM
ejpam-5344	134	18	2228	2228	NUM
ejpam-5344	134	19	x	x	SYM
ejpam-5344	134	20	z	z	NOUN
ejpam-5344	134	21	t	t	NOUN
ejpam-5344	134	22	=	=	SYM
ejpam-5344	134	23	sup	sup	NOUN
ejpam-5344	134	24	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	134	25	)	)	PUNCT
ejpam-5344	134	26	γa(v	γa(v	PUNCT
ejpam-5344	134	27	)	)	PUNCT
ejpam-5344	134	28	max{t	max{t	NOUN
ejpam-5344	134	29	,	,	PUNCT
ejpam-5344	134	30	γa(z	γa(z	NOUN
ejpam-5344	134	31	)	)	PUNCT
ejpam-5344	134	32	}	}	PUNCT
ejpam-5344	134	33	γa(x	γa(x	NUM
ejpam-5344	134	34	)	)	PUNCT
ejpam-5344	134	35	≤	≤	NUM
ejpam-5344	134	36	max{t	max{t	NOUN
ejpam-5344	134	37	,	,	PUNCT
ejpam-5344	134	38	γa(z	γa(z	PROPN
ejpam-5344	134	39	)	)	PUNCT
ejpam-5344	134	40	}	}	PUNCT
ejpam-5344	134	41	y	y	NOUN
ejpam-5344	135	1	=	=	SYM
ejpam-5344	135	2	0	0	PUNCT
ejpam-5344	136	1	y	y	NOUN
ejpam-5344	136	2	=	=	SYM
ejpam-5344	136	3	1	1	NUM
ejpam-5344	136	4	y	y	NOUN
ejpam-5344	136	5	=	=	SYM
ejpam-5344	136	6	2	2	NUM
ejpam-5344	136	7	y	y	NOUN
ejpam-5344	136	8	=	=	SYM
ejpam-5344	136	9	0	0	PUNCT
ejpam-5344	136	10	y	y	NOUN
ejpam-5344	136	11	=	=	SYM
ejpam-5344	136	12	1	1	NUM
ejpam-5344	136	13	y	y	NOUN
ejpam-5344	136	14	=	=	SYM
ejpam-5344	136	15	2	2	NUM
ejpam-5344	136	16	y	y	NOUN
ejpam-5344	136	17	=	=	SYM
ejpam-5344	136	18	0	0	PUNCT
ejpam-5344	136	19	y	y	NOUN
ejpam-5344	136	20	=	=	SYM
ejpam-5344	136	21	1	1	NUM
ejpam-5344	136	22	y	y	NOUN
ejpam-5344	136	23	=	=	SYM
ejpam-5344	136	24	2	2	NUM
ejpam-5344	136	25	0	0	NUM
ejpam-5344	136	26	0	0	NUM
ejpam-5344	136	27	0.6	0.6	NUM
ejpam-5344	136	28	0.6	0.6	NUM
ejpam-5344	136	29	0.6	0.6	NUM
ejpam-5344	136	30	0.6	0.6	NUM
ejpam-5344	136	31	0.6	0.6	NUM
ejpam-5344	136	32	0.6	0.6	NUM
ejpam-5344	136	33	�	�	PROPN
ejpam-5344	136	34	�	�	PROPN
ejpam-5344	136	35	�	�	PROPN
ejpam-5344	136	36	0	0	NUM
ejpam-5344	136	37	1	1	NUM
ejpam-5344	136	38	0.6	0.6	NUM
ejpam-5344	136	39	0.6	0.6	NUM
ejpam-5344	136	40	0.6	0.6	NUM
ejpam-5344	136	41	0.6	0.6	NUM
ejpam-5344	136	42	0.6	0.6	NUM
ejpam-5344	136	43	0.6	0.6	NUM
ejpam-5344	136	44	�	�	PROPN
ejpam-5344	136	45	�	�	PROPN
ejpam-5344	136	46	�	�	PROPN
ejpam-5344	136	47	0	0	NUM
ejpam-5344	136	48	2	2	NUM
ejpam-5344	136	49	0.6	0.6	NUM
ejpam-5344	136	50	0.6	0.6	NUM
ejpam-5344	136	51	0.6	0.6	NUM
ejpam-5344	136	52	0.7	0.7	NUM
ejpam-5344	136	53	0.7	0.7	NUM
ejpam-5344	136	54	0.7	0.7	NUM
ejpam-5344	136	55	�	�	PROPN
ejpam-5344	136	56	�	�	PROPN
ejpam-5344	136	57	�	�	PROPN
ejpam-5344	136	58	1	1	NUM
ejpam-5344	136	59	0	0	NUM
ejpam-5344	136	60	0.6	0.6	NUM
ejpam-5344	136	61	0.6	0.6	NUM
ejpam-5344	136	62	0.6	0.6	NUM
ejpam-5344	136	63	0.6	0.6	NUM
ejpam-5344	136	64	0.6	0.6	NUM
ejpam-5344	136	65	0.6	0.6	NUM
ejpam-5344	136	66	�	�	PROPN
ejpam-5344	136	67	�	�	PROPN
ejpam-5344	136	68	�	�	PROPN
ejpam-5344	136	69	1	1	NUM
ejpam-5344	136	70	1	1	NUM
ejpam-5344	136	71	0.6	0.6	NUM
ejpam-5344	136	72	0.6	0.6	NUM
ejpam-5344	136	73	0.6	0.6	NUM
ejpam-5344	136	74	0.6	0.6	NUM
ejpam-5344	136	75	0.6	0.6	NUM
ejpam-5344	136	76	0.6	0.6	NUM
ejpam-5344	136	77	�	�	PROPN
ejpam-5344	136	78	�	�	PROPN
ejpam-5344	136	79	�	�	PROPN
ejpam-5344	136	80	1	1	NUM
ejpam-5344	136	81	2	2	NUM
ejpam-5344	136	82	0.6	0.6	NUM
ejpam-5344	136	83	0.6	0.6	NUM
ejpam-5344	136	84	0.6	0.6	NUM
ejpam-5344	136	85	0.7	0.7	NUM
ejpam-5344	136	86	0.7	0.7	NUM
ejpam-5344	136	87	0.7	0.7	NUM
ejpam-5344	136	88	�	�	PROPN
ejpam-5344	136	89	�	�	PROPN
ejpam-5344	136	90	�	�	PROPN
ejpam-5344	136	91	2	2	NUM
ejpam-5344	136	92	0	0	NUM
ejpam-5344	136	93	0.7	0.7	NUM
ejpam-5344	136	94	0.7	0.7	NUM
ejpam-5344	136	95	0.7	0.7	NUM
ejpam-5344	136	96	0.7	0.7	NUM
ejpam-5344	136	97	0.7	0.7	NUM
ejpam-5344	136	98	0.7	0.7	NUM
ejpam-5344	136	99	�	�	PROPN
ejpam-5344	136	100	�	�	PROPN
ejpam-5344	136	101	�	�	PROPN
ejpam-5344	136	102	2	2	NUM
ejpam-5344	136	103	1	1	NUM
ejpam-5344	136	104	0.7	0.7	NUM
ejpam-5344	136	105	0.7	0.7	NUM
ejpam-5344	136	106	0.7	0.7	NUM
ejpam-5344	136	107	0.7	0.7	NUM
ejpam-5344	136	108	0.7	0.7	NUM
ejpam-5344	136	109	0.7	0.7	NUM
ejpam-5344	136	110	�	�	PROPN
ejpam-5344	136	111	�	�	PROPN
ejpam-5344	136	112	�	�	PROPN
ejpam-5344	136	113	2	2	NUM
ejpam-5344	136	114	2	2	NUM
ejpam-5344	136	115	0.7	0.7	NUM
ejpam-5344	136	116	0.7	0.7	NUM
ejpam-5344	136	117	0.7	0.7	NUM
ejpam-5344	136	118	0.7	0.7	NUM
ejpam-5344	136	119	0.7	0.7	NUM
ejpam-5344	136	120	0.7	0.7	NUM
ejpam-5344	136	121	�	�	PROPN
ejpam-5344	136	122	�	�	PROPN
ejpam-5344	136	123	�	�	PROPN
ejpam-5344	136	124	table	table	NOUN
ejpam-5344	136	125	8	8	NUM
ejpam-5344	136	126	:	:	PUNCT
ejpam-5344	136	127	ifigr3	ifigr3	NOUN
ejpam-5344	136	128	thus	thus	ADV
ejpam-5344	136	129	,	,	PUNCT
ejpam-5344	136	130	a	a	PRON
ejpam-5344	136	131	=	=	X
ejpam-5344	136	132	(	(	PUNCT
ejpam-5344	136	133	µa	µa	INTJ
ejpam-5344	136	134	,	,	PUNCT
ejpam-5344	136	135	γa	γa	PROPN
ejpam-5344	136	136	)	)	PUNCT
ejpam-5344	136	137	is	be	AUX
ejpam-5344	136	138	an	an	DET
ejpam-5344	136	139	intuitionistic	intuitionistic	ADJ
ejpam-5344	136	140	fuzzy	fuzzy	ADJ
ejpam-5344	136	141	implicative	implicative	ADJ
ejpam-5344	136	142	hyper	hyper	ADJ
ejpam-5344	136	143	gr	gr	NOUN
ejpam-5344	136	144	-	-	PUNCT
ejpam-5344	136	145	ideal	ideal	NOUN
ejpam-5344	136	146	of	of	ADP
ejpam-5344	136	147	h	h	NOUN
ejpam-5344	136	148	but	but	CCONJ
ejpam-5344	136	149	is	be	AUX
ejpam-5344	136	150	not	not	PART
ejpam-5344	136	151	an	an	DET
ejpam-5344	136	152	intuitionistic	intuitionistic	ADJ
ejpam-5344	136	153	fuzzy	fuzzy	ADJ
ejpam-5344	136	154	hyper	hyper	ADJ
ejpam-5344	136	155	gr	gr	NOUN
ejpam-5344	136	156	-	-	PUNCT
ejpam-5344	136	157	ideal	ideal	NOUN
ejpam-5344	136	158	in	in	ADP
ejpam-5344	136	159	h	h	NOUN
ejpam-5344	136	160	since	since	SCONJ
ejpam-5344	136	161	µa(1	µa(1	NOUN
ejpam-5344	136	162	)	)	PUNCT
ejpam-5344	136	163	=	=	PUNCT
ejpam-5344	136	164	0.3	0.3	NUM
ejpam-5344	136	165	<	<	SYM
ejpam-5344	136	166	0.5	0.5	NUM
ejpam-5344	136	167	=	=	SYM
ejpam-5344	136	168	min	min	PROPN
ejpam-5344	136	169	{	{	PUNCT
ejpam-5344	136	170	inf	inf	NOUN
ejpam-5344	136	171	u∈1⊛0	u∈1⊛0	PROPN
ejpam-5344	136	172	µa(u	µa(u	PUNCT
ejpam-5344	136	173	)	)	PUNCT
ejpam-5344	136	174	,	,	PUNCT
ejpam-5344	136	175	µa(0	µa(0	NOUN
ejpam-5344	136	176	)	)	PUNCT
ejpam-5344	136	177	}	}	PUNCT
ejpam-5344	136	178	and	and	CCONJ
ejpam-5344	136	179	γa(1	γa(1	NOUN
ejpam-5344	136	180	)	)	PUNCT
ejpam-5344	136	181	=	=	SYM
ejpam-5344	137	1	0.6	0.6	NUM
ejpam-5344	137	2	>	>	SYM
ejpam-5344	137	3	0.4	0.4	NUM
ejpam-5344	137	4	=	=	SYM
ejpam-5344	137	5	max	max	PROPN
ejpam-5344	137	6	{	{	PUNCT
ejpam-5344	137	7	sup	sup	PROPN
ejpam-5344	137	8	v∈1⊛0	v∈1⊛0	PROPN
ejpam-5344	137	9	γa(v	γa(v	PUNCT
ejpam-5344	137	10	)	)	PUNCT
ejpam-5344	137	11	,	,	PUNCT
ejpam-5344	137	12	γa(0	γa(0	NOUN
ejpam-5344	137	13	)	)	PUNCT
ejpam-5344	137	14	}	}	PUNCT
ejpam-5344	137	15	.	.	PUNCT
ejpam-5344	138	1	remark	remark	NOUN
ejpam-5344	138	2	1	1	NUM
ejpam-5344	138	3	.	.	PUNCT
ejpam-5344	138	4	example	example	NOUN
ejpam-5344	139	1	2	2	NUM
ejpam-5344	139	2	shows	show	VERB
ejpam-5344	139	3	that	that	SCONJ
ejpam-5344	139	4	not	not	PART
ejpam-5344	139	5	all	all	DET
ejpam-5344	139	6	intuitionistic	intuitionistic	ADJ
ejpam-5344	139	7	fuzzy	fuzzy	ADJ
ejpam-5344	139	8	implicative	implicative	ADJ
ejpam-5344	139	9	hyper	hyper	ADJ
ejpam-5344	139	10	gr	gr	NOUN
ejpam-5344	139	11	-	-	PUNCT
ejpam-5344	139	12	ideal	ideal	NOUN
ejpam-5344	139	13	are	be	AUX
ejpam-5344	139	14	intuitionistic	intuitionistic	ADJ
ejpam-5344	139	15	fuzzy	fuzzy	ADJ
ejpam-5344	139	16	hyper	hyper	ADJ
ejpam-5344	139	17	gr	gr	NOUN
ejpam-5344	139	18	-	-	PUNCT
ejpam-5344	139	19	ideal	ideal	NOUN
ejpam-5344	139	20	of	of	ADP
ejpam-5344	139	21	h.	h.	PROPN
ejpam-5344	139	22	the	the	DET
ejpam-5344	139	23	following	follow	VERB
ejpam-5344	139	24	theorems	theorem	NOUN
ejpam-5344	139	25	exhibit	exhibit	VERB
ejpam-5344	139	26	a	a	DET
ejpam-5344	139	27	characterization	characterization	NOUN
ejpam-5344	139	28	of	of	ADP
ejpam-5344	139	29	intuitionistic	intuitionistic	ADJ
ejpam-5344	139	30	fuzzy	fuzzy	ADJ
ejpam-5344	139	31	implicative	implicative	ADJ
ejpam-5344	139	32	hyper	hyper	ADJ
ejpam-5344	139	33	gr	gr	NOUN
ejpam-5344	139	34	-	-	PUNCT
ejpam-5344	139	35	ideal	ideal	NOUN
ejpam-5344	139	36	of	of	ADP
ejpam-5344	139	37	hyper	hyper	ADJ
ejpam-5344	139	38	gr	gr	NOUN
ejpam-5344	139	39	-	-	PUNCT
ejpam-5344	139	40	algebra	algebra	NOUN
ejpam-5344	139	41	.	.	PUNCT
ejpam-5344	140	1	theorem	theorem	NOUN
ejpam-5344	140	2	2	2	NUM
ejpam-5344	140	3	.	.	PUNCT
ejpam-5344	140	4	an	an	DET
ejpam-5344	140	5	intuitionistic	intuitionistic	ADJ
ejpam-5344	140	6	fuzzy	fuzzy	NOUN
ejpam-5344	140	7	set	set	VERB
ejpam-5344	140	8	a	a	PRON
ejpam-5344	140	9	=	=	X
ejpam-5344	140	10	(	(	PUNCT
ejpam-5344	140	11	µa	µa	INTJ
ejpam-5344	140	12	,	,	PUNCT
ejpam-5344	140	13	γa	γa	PROPN
ejpam-5344	140	14	)	)	PUNCT
ejpam-5344	140	15	is	be	AUX
ejpam-5344	140	16	an	an	DET
ejpam-5344	140	17	intuitionistic	intuitionistic	ADJ
ejpam-5344	140	18	fuzzy	fuzzy	ADJ
ejpam-5344	140	19	implicative	implicative	ADJ
ejpam-5344	140	20	hyper	hyper	ADJ
ejpam-5344	140	21	gr	gr	NOUN
ejpam-5344	140	22	-	-	PUNCT
ejpam-5344	140	23	ideal	ideal	NOUN
ejpam-5344	140	24	of	of	ADP
ejpam-5344	140	25	a	a	DET
ejpam-5344	140	26	hyper	hyper	ADJ
ejpam-5344	140	27	gr	gr	NOUN
ejpam-5344	140	28	-	-	PUNCT
ejpam-5344	140	29	algebra	algebra	NOUN
ejpam-5344	140	30	h	h	NOUN
ejpam-5344	140	31	if	if	SCONJ
ejpam-5344	140	32	and	and	CCONJ
ejpam-5344	140	33	only	only	ADV
ejpam-5344	140	34	if	if	SCONJ
ejpam-5344	140	35	a⟨t	a⟨t	PROPN
ejpam-5344	140	36	,	,	PUNCT
ejpam-5344	140	37	s⟩	s⟩	ADJ
ejpam-5344	140	38	is	be	AUX
ejpam-5344	140	39	an	an	DET
ejpam-5344	140	40	implicative	implicative	ADJ
ejpam-5344	140	41	hyper	hyper	ADJ
ejpam-5344	140	42	gr	gr	NOUN
ejpam-5344	140	43	-	-	PUNCT
ejpam-5344	140	44	ideal	ideal	NOUN
ejpam-5344	140	45	of	of	ADP
ejpam-5344	140	46	h	h	NOUN
ejpam-5344	140	47	whenever	whenever	SCONJ
ejpam-5344	140	48	a⟨t	a⟨t	PROPN
ejpam-5344	140	49	,	,	PUNCT
ejpam-5344	140	50	s⟩	s⟩	VERB
ejpam-5344	140	51	̸=	̸=	PROPN
ejpam-5344	140	52	∅	∅	NOUN
ejpam-5344	140	53	and	and	CCONJ
ejpam-5344	140	54	t	t	PROPN
ejpam-5344	140	55	,	,	PUNCT
ejpam-5344	140	56	s	s	PART
ejpam-5344	140	57	∈	∈	PROPN
ejpam-5344	141	1	[	[	X
ejpam-5344	141	2	0	0	NUM
ejpam-5344	141	3	,	,	PUNCT
ejpam-5344	141	4	1	1	NUM
ejpam-5344	141	5	]	]	PUNCT
ejpam-5344	141	6	.	.	PUNCT
ejpam-5344	142	1	proof	proof	NOUN
ejpam-5344	142	2	:	:	PUNCT
ejpam-5344	142	3	suppose	suppose	VERB
ejpam-5344	142	4	a	a	PRON
ejpam-5344	142	5	=	=	X
ejpam-5344	142	6	(	(	PUNCT
ejpam-5344	142	7	µa	µa	INTJ
ejpam-5344	142	8	,	,	PUNCT
ejpam-5344	142	9	γa	γa	PROPN
ejpam-5344	142	10	)	)	PUNCT
ejpam-5344	142	11	is	be	AUX
ejpam-5344	142	12	an	an	DET
ejpam-5344	142	13	intuitionistic	intuitionistic	ADJ
ejpam-5344	142	14	fuzzy	fuzzy	ADJ
ejpam-5344	142	15	implicative	implicative	ADJ
ejpam-5344	142	16	hyper	hyper	ADJ
ejpam-5344	142	17	gr	gr	NOUN
ejpam-5344	142	18	-	-	PUNCT
ejpam-5344	142	19	ideal	ideal	NOUN
ejpam-5344	142	20	in	in	ADP
ejpam-5344	142	21	h.	h.	PROPN
ejpam-5344	142	22	by	by	ADP
ejpam-5344	142	23	ifigr1	ifigr1	PROPN
ejpam-5344	142	24	,	,	PUNCT
ejpam-5344	142	25	µa(x	µa(x	ADP
ejpam-5344	142	26	)	)	PUNCT
ejpam-5344	142	27	≤	≤	NUM
ejpam-5344	142	28	µa(0	µa(0	NOUN
ejpam-5344	142	29	)	)	PUNCT
ejpam-5344	142	30	and	and	CCONJ
ejpam-5344	142	31	γa(x	γa(x	NUM
ejpam-5344	142	32	)	)	PUNCT
ejpam-5344	142	33	≥	≥	NUM
ejpam-5344	142	34	γa(0	γa(0	NOUN
ejpam-5344	142	35	)	)	PUNCT
ejpam-5344	142	36	for	for	ADP
ejpam-5344	142	37	all	all	PRON
ejpam-5344	142	38	x	x	SYM
ejpam-5344	142	39	∈	∈	PROPN
ejpam-5344	142	40	h.	h.	NOUN
ejpam-5344	142	41	let	let	VERB
ejpam-5344	142	42	t	t	PROPN
ejpam-5344	142	43	,	,	PUNCT
ejpam-5344	142	44	s	s	PART
ejpam-5344	142	45	∈	∈	PROPN
ejpam-5344	143	1	[	[	X
ejpam-5344	143	2	0	0	NUM
ejpam-5344	143	3	,	,	PUNCT
ejpam-5344	143	4	1	1	NUM
ejpam-5344	143	5	]	]	PUNCT
ejpam-5344	143	6	.	.	PUNCT
ejpam-5344	144	1	by	by	ADP
ejpam-5344	144	2	assumption	assumption	NOUN
ejpam-5344	144	3	,	,	PUNCT
ejpam-5344	144	4	a⟨t	a⟨t	PROPN
ejpam-5344	144	5	,	,	PUNCT
ejpam-5344	144	6	s⟩	s⟩	VERB
ejpam-5344	144	7	̸=	̸=	NOUN
ejpam-5344	144	8	∅	∅	NOUN
ejpam-5344	144	9	,	,	PUNCT
ejpam-5344	144	10	that	that	PRON
ejpam-5344	144	11	is	be	AUX
ejpam-5344	144	12	there	there	PRON
ejpam-5344	144	13	exists	exist	VERB
ejpam-5344	144	14	x	x	X
ejpam-5344	144	15	∈	∈	PROPN
ejpam-5344	144	16	a⟨t	a⟨t	PROPN
ejpam-5344	144	17	,	,	PUNCT
ejpam-5344	144	18	s⟩	s⟩	ADJ
ejpam-5344	144	19	such	such	ADJ
ejpam-5344	144	20	that	that	SCONJ
ejpam-5344	144	21	t	t	PROPN
ejpam-5344	144	22	≤	≤	NOUN
ejpam-5344	144	23	µa(x	µa(x	ADP
ejpam-5344	144	24	)	)	PUNCT
ejpam-5344	144	25	≤	≤	NUM
ejpam-5344	145	1	µa(0	µa(0	NOUN
ejpam-5344	145	2	)	)	PUNCT
ejpam-5344	145	3	and	and	CCONJ
ejpam-5344	145	4	s	s	X
ejpam-5344	145	5	≥	≥	NOUN
ejpam-5344	145	6	γa(x	γa(x	NUM
ejpam-5344	145	7	)	)	PUNCT
ejpam-5344	145	8	≥	≥	NUM
ejpam-5344	145	9	γa(0	γa(0	NOUN
ejpam-5344	145	10	)	)	PUNCT
ejpam-5344	145	11	.	.	PUNCT
ejpam-5344	146	1	thus	thus	ADV
ejpam-5344	146	2	0	0	NUM
ejpam-5344	146	3	∈	∈	PROPN
ejpam-5344	146	4	a⟨t	a⟨t	PROPN
ejpam-5344	146	5	,	,	PUNCT
ejpam-5344	146	6	s⟩.	s⟩.	ADJ
ejpam-5344	146	7	let	let	VERB
ejpam-5344	146	8	x	x	PRON
ejpam-5344	146	9	,	,	PUNCT
ejpam-5344	146	10	y	y	PROPN
ejpam-5344	146	11	,	,	PUNCT
ejpam-5344	146	12	z	z	PROPN
ejpam-5344	146	13	∈	∈	PROPN
ejpam-5344	146	14	h	h	NOUN
ejpam-5344	146	15	such	such	ADJ
ejpam-5344	146	16	that	that	SCONJ
ejpam-5344	146	17	(	(	PUNCT
ejpam-5344	146	18	x	x	PROPN
ejpam-5344	146	19	⊛	⊛	NUM
ejpam-5344	146	20	z	z	NUM
ejpam-5344	146	21	)	)	PUNCT
ejpam-5344	146	22	⊛	⊛	NUM
ejpam-5344	146	23	(	(	PUNCT
ejpam-5344	146	24	y	y	PROPN
ejpam-5344	146	25	⊛	⊛	NUM
ejpam-5344	146	26	x	x	NOUN
ejpam-5344	146	27	)	)	PUNCT
ejpam-5344	146	28	⊆	⊆	NUM
ejpam-5344	146	29	a⟨t	a⟨t	PROPN
ejpam-5344	146	30	,	,	PUNCT
ejpam-5344	146	31	s⟩	s⟩	ADJ
ejpam-5344	146	32	and	and	CCONJ
ejpam-5344	147	1	z	z	NOUN
ejpam-5344	147	2	∈	∈	PROPN
ejpam-5344	147	3	a⟨t	a⟨t	PROPN
ejpam-5344	147	4	,	,	PUNCT
ejpam-5344	147	5	s⟩.	s⟩.	ADJ
ejpam-5344	147	6	then	then	ADV
ejpam-5344	147	7	µa(z	µa(z	NUM
ejpam-5344	147	8	)	)	PUNCT
ejpam-5344	147	9	≥	≥	PROPN
ejpam-5344	147	10	t	t	PROPN
ejpam-5344	147	11	and	and	CCONJ
ejpam-5344	147	12	γa(z	γa(z	PROPN
ejpam-5344	147	13	)	)	PUNCT
ejpam-5344	148	1	≤	≤	PART
ejpam-5344	149	1	s.	s.	PROPN
ejpam-5344	149	2	also	also	ADV
ejpam-5344	149	3	,	,	PUNCT
ejpam-5344	149	4	µa(u	µa(u	PUNCT
ejpam-5344	149	5	)	)	PUNCT
ejpam-5344	149	6	≥	≥	PROPN
ejpam-5344	149	7	t	t	NOUN
ejpam-5344	149	8	and	and	CCONJ
ejpam-5344	149	9	γa(v	γa(v	PUNCT
ejpam-5344	149	10	)	)	PUNCT
ejpam-5344	149	11	≤	≤	NOUN
ejpam-5344	149	12	s	s	VERB
ejpam-5344	149	13	for	for	ADP
ejpam-5344	149	14	all	all	DET
ejpam-5344	149	15	u	u	NOUN
ejpam-5344	149	16	,	,	PUNCT
ejpam-5344	149	17	v,∈	v,∈	PROPN
ejpam-5344	149	18	(	(	PUNCT
ejpam-5344	149	19	x⊛	x⊛	PROPN
ejpam-5344	149	20	z)⊛	z)⊛	PROPN
ejpam-5344	149	21	(	(	PUNCT
ejpam-5344	149	22	y⊛x	y⊛x	PROPN
ejpam-5344	149	23	)	)	PUNCT
ejpam-5344	149	24	.	.	PUNCT
ejpam-5344	150	1	it	it	PRON
ejpam-5344	150	2	implies	imply	VERB
ejpam-5344	150	3	that	that	SCONJ
ejpam-5344	150	4	t	t	PROPN
ejpam-5344	150	5	is	be	AUX
ejpam-5344	150	6	a	a	DET
ejpam-5344	150	7	lowerbound	lowerbound	NOUN
ejpam-5344	150	8	for	for	ADP
ejpam-5344	150	9	{	{	PUNCT
ejpam-5344	150	10	µa(u)|u	µa(u)|u	NOUN
ejpam-5344	150	11	∈	∈	PROPN
ejpam-5344	150	12	(	(	PUNCT
ejpam-5344	150	13	x⊛	x⊛	PROPN
ejpam-5344	150	14	z)⊛	z)⊛	PROPN
ejpam-5344	150	15	(	(	PUNCT
ejpam-5344	150	16	y⊛x	y⊛x	PROPN
ejpam-5344	150	17	)	)	PUNCT
ejpam-5344	150	18	}	}	PUNCT
ejpam-5344	150	19	and	and	CCONJ
ejpam-5344	150	20	s	s	VERB
ejpam-5344	150	21	is	be	AUX
ejpam-5344	150	22	an	an	DET
ejpam-5344	150	23	upperbound	upperbound	NOUN
ejpam-5344	150	24	for	for	ADP
ejpam-5344	150	25	{	{	PUNCT
ejpam-5344	150	26	γa(v)|v	γa(v)|v	PROPN
ejpam-5344	150	27	∈	∈	PROPN
ejpam-5344	150	28	(	(	PUNCT
ejpam-5344	150	29	x⊛	x⊛	PROPN
ejpam-5344	150	30	z)⊛	z)⊛	PROPN
ejpam-5344	150	31	(	(	PUNCT
ejpam-5344	150	32	y	y	PROPN
ejpam-5344	150	33	⊛	⊛	NUM
ejpam-5344	150	34	x	x	NOUN
ejpam-5344	150	35	)	)	PUNCT
ejpam-5344	150	36	}	}	PUNCT
ejpam-5344	150	37	.	.	PUNCT
ejpam-5344	151	1	then	then	ADV
ejpam-5344	151	2	,	,	PUNCT
ejpam-5344	151	3	inf	inf	PROPN
ejpam-5344	151	4	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	151	5	)	)	PUNCT
ejpam-5344	151	6	µa(u	µa(u	PUNCT
ejpam-5344	151	7	)	)	PUNCT
ejpam-5344	151	8	≥	≥	PROPN
ejpam-5344	151	9	t	t	NOUN
ejpam-5344	151	10	and	and	CCONJ
ejpam-5344	151	11	sup	sup	PROPN
ejpam-5344	151	12	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	151	13	)	)	PUNCT
ejpam-5344	151	14	γa(v	γa(v	PUNCT
ejpam-5344	151	15	)	)	PUNCT
ejpam-5344	151	16	≤	≤	NOUN
ejpam-5344	151	17	s.	s.	PROPN
ejpam-5344	151	18	by	by	ADP
ejpam-5344	151	19	ifigr2	ifigr2	NOUN
ejpam-5344	151	20	and	and	CCONJ
ejpam-5344	151	21	ifigr3	ifigr3	NOUN
ejpam-5344	151	22	,	,	PUNCT
ejpam-5344	151	23	a.	a.	NOUN
ejpam-5344	151	24	macodi	macodi	NOUN
ejpam-5344	151	25	,	,	PUNCT
ejpam-5344	151	26	a.	a.	NOUN
ejpam-5344	151	27	dorig	dorig	PROPN
ejpam-5344	151	28	/	/	SYM
ejpam-5344	151	29	eur	eur	PROPN
ejpam-5344	151	30	.	.	PUNCT
ejpam-5344	152	1	j.	j.	PROPN
ejpam-5344	152	2	pure	pure	PROPN
ejpam-5344	152	3	appl	appl	PROPN
ejpam-5344	152	4	.	.	PROPN
ejpam-5344	152	5	math	math	PROPN
ejpam-5344	152	6	,	,	PUNCT
ejpam-5344	152	7	17	17	NUM
ejpam-5344	152	8	(	(	PUNCT
ejpam-5344	152	9	3	3	NUM
ejpam-5344	152	10	)	)	PUNCT
ejpam-5344	152	11	(	(	PUNCT
ejpam-5344	152	12	2024	2024	NUM
ejpam-5344	152	13	)	)	PUNCT
ejpam-5344	152	14	,	,	PUNCT
ejpam-5344	152	15	2221	2221	NUM
ejpam-5344	152	16	-	-	SYM
ejpam-5344	152	17	2234	2234	NUM
ejpam-5344	152	18	2229	2229	NUM
ejpam-5344	152	19	µa(x	µa(x	NOUN
ejpam-5344	152	20	)	)	PUNCT
ejpam-5344	152	21	≥	≥	PROPN
ejpam-5344	152	22	min	min	PROPN
ejpam-5344	152	23	{	{	PUNCT
ejpam-5344	152	24	inf	inf	NOUN
ejpam-5344	152	25	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	152	26	)	)	PUNCT
ejpam-5344	152	27	µa(u	µa(u	NOUN
ejpam-5344	152	28	)	)	PUNCT
ejpam-5344	152	29	,	,	PUNCT
ejpam-5344	152	30	µa(z	µa(z	PRON
ejpam-5344	152	31	)	)	PUNCT
ejpam-5344	152	32	}	}	PUNCT
ejpam-5344	152	33	=	=	SYM
ejpam-5344	152	34	min{t	min{t	PROPN
ejpam-5344	152	35	,	,	PUNCT
ejpam-5344	152	36	t	t	PROPN
ejpam-5344	152	37	}	}	PUNCT
ejpam-5344	152	38	=	=	SYM
ejpam-5344	152	39	t	t	NOUN
ejpam-5344	152	40	and	and	CCONJ
ejpam-5344	152	41	γa(x	γa(x	NUM
ejpam-5344	152	42	)	)	PUNCT
ejpam-5344	152	43	≤	≤	NUM
ejpam-5344	152	44	max	max	PROPN
ejpam-5344	152	45	{	{	PUNCT
ejpam-5344	152	46	sup	sup	NOUN
ejpam-5344	152	47	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	152	48	)	)	PUNCT
ejpam-5344	152	49	γa(v	γa(v	PUNCT
ejpam-5344	152	50	)	)	PUNCT
ejpam-5344	152	51	,	,	PUNCT
ejpam-5344	152	52	γa(z	γa(z	PROPN
ejpam-5344	152	53	)	)	PUNCT
ejpam-5344	152	54	}	}	PUNCT
ejpam-5344	153	1	=	=	PUNCT
ejpam-5344	153	2	max{s	max{	NOUN
ejpam-5344	153	3	,	,	PUNCT
ejpam-5344	153	4	s	s	AUX
ejpam-5344	153	5	}	}	PUNCT
ejpam-5344	153	6	=	=	SYM
ejpam-5344	153	7	s.	s.	PROPN
ejpam-5344	153	8	hence	hence	ADV
ejpam-5344	153	9	,	,	PUNCT
ejpam-5344	153	10	x	x	X
ejpam-5344	153	11	∈	∈	PROPN
ejpam-5344	153	12	a⟨t	a⟨t	PROPN
ejpam-5344	153	13	,	,	PUNCT
ejpam-5344	153	14	s⟩.	s⟩.	ADJ
ejpam-5344	153	15	thus	thus	ADV
ejpam-5344	153	16	,	,	PUNCT
ejpam-5344	153	17	a⟨t	a⟨t	PROPN
ejpam-5344	153	18	,	,	PUNCT
ejpam-5344	153	19	s⟩	s⟩	ADJ
ejpam-5344	153	20	is	be	AUX
ejpam-5344	153	21	a	a	DET
ejpam-5344	153	22	hyper	hyper	ADJ
ejpam-5344	153	23	gr	gr	NOUN
ejpam-5344	153	24	-	-	PUNCT
ejpam-5344	153	25	ideal	ideal	NOUN
ejpam-5344	153	26	of	of	ADP
ejpam-5344	153	27	h.	h.	NOUN
ejpam-5344	153	28	conversely	conversely	ADV
ejpam-5344	153	29	,	,	PUNCT
ejpam-5344	153	30	suppose	suppose	VERB
ejpam-5344	153	31	a⟨t	a⟨t	PROPN
ejpam-5344	153	32	,	,	PUNCT
ejpam-5344	153	33	s⟩	s⟩	ADJ
ejpam-5344	153	34	is	be	AUX
ejpam-5344	153	35	a	a	DET
ejpam-5344	153	36	hyper	hyper	ADJ
ejpam-5344	153	37	gr	gr	NOUN
ejpam-5344	153	38	-	-	PUNCT
ejpam-5344	153	39	ideal	ideal	NOUN
ejpam-5344	153	40	of	of	ADP
ejpam-5344	153	41	h	h	PROPN
ejpam-5344	153	42	where	where	SCONJ
ejpam-5344	153	43	t	t	NOUN
ejpam-5344	153	44	,	,	PUNCT
ejpam-5344	153	45	s	s	PART
ejpam-5344	153	46	∈	∈	PROPN
ejpam-5344	154	1	[	[	X
ejpam-5344	154	2	0	0	NUM
ejpam-5344	154	3	,	,	PUNCT
ejpam-5344	154	4	1	1	NUM
ejpam-5344	154	5	]	]	PUNCT
ejpam-5344	154	6	.	.	PUNCT
ejpam-5344	155	1	let	let	VERB
ejpam-5344	155	2	x	x	SYM
ejpam-5344	155	3	∈	∈	PROPN
ejpam-5344	155	4	h	h	NOUN
ejpam-5344	155	5	and	and	CCONJ
ejpam-5344	155	6	k	k	NOUN
ejpam-5344	155	7	,	,	PUNCT
ejpam-5344	155	8	l	l	PROPN
ejpam-5344	155	9	∈	∈	PROPN
ejpam-5344	156	1	[	[	X
ejpam-5344	156	2	0	0	NUM
ejpam-5344	156	3	,	,	PUNCT
ejpam-5344	156	4	1	1	NUM
ejpam-5344	156	5	]	]	PUNCT
ejpam-5344	156	6	such	such	ADJ
ejpam-5344	156	7	that	that	SCONJ
ejpam-5344	156	8	k	k	PROPN
ejpam-5344	156	9	=	=	PUNCT
ejpam-5344	156	10	µa(x	µa(x	PROPN
ejpam-5344	156	11	)	)	PUNCT
ejpam-5344	156	12	and	and	CCONJ
ejpam-5344	156	13	l	l	NOUN
ejpam-5344	156	14	=	=	SYM
ejpam-5344	156	15	γa(x	γa(x	NUM
ejpam-5344	156	16	)	)	PUNCT
ejpam-5344	156	17	.	.	PUNCT
ejpam-5344	157	1	note	note	VERB
ejpam-5344	157	2	that	that	SCONJ
ejpam-5344	157	3	a⟨k	a⟨k	NUM
ejpam-5344	157	4	,	,	PUNCT
ejpam-5344	157	5	l⟩	l⟩	PRON
ejpam-5344	157	6	is	be	AUX
ejpam-5344	157	7	a	a	DET
ejpam-5344	157	8	hyper	hyper	ADJ
ejpam-5344	157	9	gr	gr	NOUN
ejpam-5344	157	10	-	-	PUNCT
ejpam-5344	157	11	ideal	ideal	NOUN
ejpam-5344	157	12	of	of	ADP
ejpam-5344	157	13	h.	h.	PROPN
ejpam-5344	157	14	thus	thus	ADV
ejpam-5344	157	15	0	0	NUM
ejpam-5344	157	16	∈	∈	PROPN
ejpam-5344	157	17	a⟨k	a⟨k	PROPN
ejpam-5344	157	18	,	,	PUNCT
ejpam-5344	157	19	l⟩.	l⟩.	NOUN
ejpam-5344	157	20	then	then	ADV
ejpam-5344	157	21	µa(0	µa(0	NOUN
ejpam-5344	157	22	)	)	PUNCT
ejpam-5344	157	23	≥	≥	NOUN
ejpam-5344	157	24	µa(x	µa(x	NOUN
ejpam-5344	157	25	)	)	PUNCT
ejpam-5344	158	1	=	=	SYM
ejpam-5344	158	2	k	k	PROPN
ejpam-5344	158	3	and	and	CCONJ
ejpam-5344	158	4	γa(0	γa(0	PROPN
ejpam-5344	158	5	)	)	PUNCT
ejpam-5344	158	6	≤	≤	NOUN
ejpam-5344	158	7	γa(x	γa(x	NUM
ejpam-5344	158	8	)	)	PUNCT
ejpam-5344	158	9	=	=	PUNCT
ejpam-5344	159	1	l.	l.	PROPN
ejpam-5344	159	2	let	let	VERB
ejpam-5344	159	3	x	x	PRON
ejpam-5344	159	4	,	,	PUNCT
ejpam-5344	159	5	y	y	PROPN
ejpam-5344	159	6	,	,	PUNCT
ejpam-5344	159	7	z	z	PROPN
ejpam-5344	159	8	∈	∈	PROPN
ejpam-5344	159	9	h	h	NOUN
ejpam-5344	159	10	and	and	CCONJ
ejpam-5344	159	11	p	p	X
ejpam-5344	159	12	,	,	PUNCT
ejpam-5344	159	13	q	q	NOUN
ejpam-5344	159	14	∈	∈	PROPN
ejpam-5344	160	1	[	[	X
ejpam-5344	160	2	0	0	NUM
ejpam-5344	160	3	,	,	PUNCT
ejpam-5344	160	4	1	1	NUM
ejpam-5344	160	5	]	]	PUNCT
ejpam-5344	160	6	such	such	ADJ
ejpam-5344	160	7	that	that	SCONJ
ejpam-5344	160	8	p	p	PROPN
ejpam-5344	160	9	=	=	SYM
ejpam-5344	160	10	min	min	PROPN
ejpam-5344	160	11	{	{	PUNCT
ejpam-5344	160	12	inf	inf	NOUN
ejpam-5344	160	13	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	160	14	)	)	PUNCT
ejpam-5344	160	15	µa(u	µa(u	NOUN
ejpam-5344	160	16	)	)	PUNCT
ejpam-5344	160	17	,	,	PUNCT
ejpam-5344	160	18	µa(z	µa(z	PRON
ejpam-5344	160	19	)	)	PUNCT
ejpam-5344	160	20	}	}	PUNCT
ejpam-5344	161	1	and	and	CCONJ
ejpam-5344	161	2	q	q	NOUN
ejpam-5344	161	3	=	=	SYM
ejpam-5344	161	4	max	max	PROPN
ejpam-5344	161	5	{	{	PUNCT
ejpam-5344	161	6	sup	sup	NOUN
ejpam-5344	161	7	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	161	8	)	)	PUNCT
ejpam-5344	161	9	γa(v	γa(v	PUNCT
ejpam-5344	161	10	)	)	PUNCT
ejpam-5344	161	11	,	,	PUNCT
ejpam-5344	161	12	γa(z	γa(z	PROPN
ejpam-5344	161	13	)	)	PUNCT
ejpam-5344	161	14	}	}	PUNCT
ejpam-5344	161	15	.	.	PUNCT
ejpam-5344	162	1	let	let	VERB
ejpam-5344	162	2	w	w	X
ejpam-5344	162	3	∈	∈	PROPN
ejpam-5344	162	4	(	(	PUNCT
ejpam-5344	162	5	x⊛	x⊛	PROPN
ejpam-5344	162	6	z)⊛	z)⊛	PROPN
ejpam-5344	162	7	(	(	PUNCT
ejpam-5344	162	8	y	y	PROPN
ejpam-5344	162	9	⊛	⊛	NUM
ejpam-5344	162	10	x	x	NOUN
ejpam-5344	162	11	)	)	PUNCT
ejpam-5344	162	12	.	.	PUNCT
ejpam-5344	163	1	then	then	ADV
ejpam-5344	163	2	µa(w	µa(w	PUNCT
ejpam-5344	163	3	)	)	PUNCT
ejpam-5344	163	4	≥	≥	PROPN
ejpam-5344	163	5	inf	inf	PROPN
ejpam-5344	163	6	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	163	7	)	)	PUNCT
ejpam-5344	163	8	µa(u	µa(u	PUNCT
ejpam-5344	163	9	)	)	PUNCT
ejpam-5344	163	10	≥	≥	PROPN
ejpam-5344	163	11	min	min	PROPN
ejpam-5344	163	12	{	{	PUNCT
ejpam-5344	163	13	inf	inf	NOUN
ejpam-5344	163	14	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	163	15	)	)	PUNCT
ejpam-5344	163	16	µa(u	µa(u	NOUN
ejpam-5344	163	17	)	)	PUNCT
ejpam-5344	163	18	,	,	PUNCT
ejpam-5344	163	19	µa(z	µa(z	PRON
ejpam-5344	163	20	)	)	PUNCT
ejpam-5344	163	21	}	}	PUNCT
ejpam-5344	164	1	=	=	SYM
ejpam-5344	164	2	p	p	NOUN
ejpam-5344	164	3	and	and	CCONJ
ejpam-5344	164	4	γa(w	γa(w	NUM
ejpam-5344	164	5	)	)	PUNCT
ejpam-5344	164	6	≤	≤	NUM
ejpam-5344	164	7	sup	sup	NOUN
ejpam-5344	164	8	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	164	9	)	)	PUNCT
ejpam-5344	164	10	γa(v	γa(v	PUNCT
ejpam-5344	164	11	)	)	PUNCT
ejpam-5344	164	12	≤	≤	NUM
ejpam-5344	165	1	max	max	PROPN
ejpam-5344	165	2	{	{	PUNCT
ejpam-5344	165	3	sup	sup	NOUN
ejpam-5344	165	4	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	165	5	)	)	PUNCT
ejpam-5344	165	6	γa(v	γa(v	PUNCT
ejpam-5344	165	7	)	)	PUNCT
ejpam-5344	165	8	,	,	PUNCT
ejpam-5344	165	9	γa(z	γa(z	PROPN
ejpam-5344	165	10	)	)	PUNCT
ejpam-5344	165	11	}	}	PUNCT
ejpam-5344	166	1	=	=	PUNCT
ejpam-5344	166	2	q.	q.	NOUN
ejpam-5344	166	3	this	this	PRON
ejpam-5344	166	4	implies	imply	VERB
ejpam-5344	166	5	that	that	SCONJ
ejpam-5344	166	6	w	w	PROPN
ejpam-5344	166	7	∈	∈	PROPN
ejpam-5344	166	8	a⟨p	a⟨p	PROPN
ejpam-5344	166	9	,	,	PUNCT
ejpam-5344	166	10	q⟩.	q⟩.	ADV
ejpam-5344	166	11	it	it	PRON
ejpam-5344	166	12	follows	follow	VERB
ejpam-5344	166	13	that	that	SCONJ
ejpam-5344	166	14	(	(	PUNCT
ejpam-5344	166	15	x⊛	x⊛	PROPN
ejpam-5344	166	16	z)⊛	z)⊛	PROPN
ejpam-5344	166	17	(	(	PUNCT
ejpam-5344	166	18	y	y	PROPN
ejpam-5344	166	19	⊛	⊛	NUM
ejpam-5344	166	20	x	x	NOUN
ejpam-5344	166	21	)	)	PUNCT
ejpam-5344	166	22	⊆	⊆	NUM
ejpam-5344	166	23	a⟨p	a⟨p	PUNCT
ejpam-5344	166	24	,	,	PUNCT
ejpam-5344	166	25	q⟩.	q⟩.	ADV
ejpam-5344	166	26	clearly	clearly	ADV
ejpam-5344	166	27	,	,	PUNCT
ejpam-5344	166	28	µa(z	µa(z	PROPN
ejpam-5344	166	29	)	)	PUNCT
ejpam-5344	166	30	≥	≥	PROPN
ejpam-5344	166	31	min	min	PROPN
ejpam-5344	166	32	{	{	PUNCT
ejpam-5344	166	33	inf	inf	NOUN
ejpam-5344	166	34	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	166	35	)	)	PUNCT
ejpam-5344	166	36	µa(u	µa(u	NOUN
ejpam-5344	166	37	)	)	PUNCT
ejpam-5344	166	38	,	,	PUNCT
ejpam-5344	166	39	µa(z	µa(z	PRON
ejpam-5344	166	40	)	)	PUNCT
ejpam-5344	166	41	}	}	PUNCT
ejpam-5344	167	1	=	=	PUNCT
ejpam-5344	167	2	p	p	NOUN
ejpam-5344	167	3	and	and	CCONJ
ejpam-5344	167	4	γa(z	γa(z	PROPN
ejpam-5344	167	5	)	)	PUNCT
ejpam-5344	167	6	≤	≤	NUM
ejpam-5344	168	1	max	max	PROPN
ejpam-5344	168	2	{	{	PUNCT
ejpam-5344	168	3	sup	sup	NOUN
ejpam-5344	168	4	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	168	5	)	)	PUNCT
ejpam-5344	168	6	γa(v	γa(v	PUNCT
ejpam-5344	168	7	)	)	PUNCT
ejpam-5344	168	8	,	,	PUNCT
ejpam-5344	168	9	γa(z	γa(z	PROPN
ejpam-5344	168	10	)	)	PUNCT
ejpam-5344	168	11	}	}	PUNCT
ejpam-5344	169	1	=	=	PUNCT
ejpam-5344	169	2	q.	q.	NOUN
ejpam-5344	169	3	hence	hence	ADV
ejpam-5344	169	4	,	,	PUNCT
ejpam-5344	169	5	z	z	PROPN
ejpam-5344	169	6	∈	∈	PROPN
ejpam-5344	170	1	a⟨p	a⟨p	PRON
ejpam-5344	170	2	,	,	PUNCT
ejpam-5344	170	3	q⟩.	q⟩.	ADV
ejpam-5344	170	4	since	since	SCONJ
ejpam-5344	170	5	a⟨p	a⟨p	NUM
ejpam-5344	170	6	,	,	PUNCT
ejpam-5344	170	7	q⟩	q⟩	PRON
ejpam-5344	170	8	is	be	AUX
ejpam-5344	170	9	a	a	DET
ejpam-5344	170	10	implicative	implicative	ADJ
ejpam-5344	170	11	hyper	hyper	ADJ
ejpam-5344	170	12	gr	gr	NOUN
ejpam-5344	170	13	-	-	PUNCT
ejpam-5344	170	14	ideal	ideal	NOUN
ejpam-5344	170	15	of	of	ADP
ejpam-5344	170	16	h	h	NOUN
ejpam-5344	170	17	,	,	PUNCT
ejpam-5344	170	18	x	x	SYM
ejpam-5344	170	19	∈	∈	PROPN
ejpam-5344	170	20	a⟨p	a⟨p	PRON
ejpam-5344	170	21	,	,	PUNCT
ejpam-5344	170	22	q⟩.	q⟩.	ADV
ejpam-5344	170	23	it	it	PRON
ejpam-5344	170	24	implies	imply	VERB
ejpam-5344	170	25	that	that	SCONJ
ejpam-5344	170	26	µa(x	µa(x	NOUN
ejpam-5344	170	27	)	)	PUNCT
ejpam-5344	170	28	≥	≥	PROPN
ejpam-5344	170	29	min	min	PROPN
ejpam-5344	170	30	{	{	PUNCT
ejpam-5344	170	31	inf	inf	NOUN
ejpam-5344	170	32	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	170	33	)	)	PUNCT
ejpam-5344	170	34	µa(u	µa(u	NOUN
ejpam-5344	170	35	)	)	PUNCT
ejpam-5344	170	36	,	,	PUNCT
ejpam-5344	170	37	µa(z	µa(z	PRON
ejpam-5344	170	38	)	)	PUNCT
ejpam-5344	170	39	}	}	PUNCT
ejpam-5344	170	40	and	and	CCONJ
ejpam-5344	170	41	γa(x	γa(x	NUM
ejpam-5344	170	42	)	)	PUNCT
ejpam-5344	170	43	≤	≤	NUM
ejpam-5344	170	44	max	max	PROPN
ejpam-5344	170	45	{	{	PUNCT
ejpam-5344	170	46	sup	sup	NOUN
ejpam-5344	170	47	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	170	48	)	)	PUNCT
ejpam-5344	170	49	γa(v	γa(v	PUNCT
ejpam-5344	170	50	)	)	PUNCT
ejpam-5344	170	51	,	,	PUNCT
ejpam-5344	170	52	γa(z	γa(z	PROPN
ejpam-5344	170	53	)	)	PUNCT
ejpam-5344	170	54	}	}	PUNCT
ejpam-5344	170	55	.	.	PUNCT
ejpam-5344	171	1	thus	thus	ADV
ejpam-5344	171	2	,	,	PUNCT
ejpam-5344	171	3	a	a	PRON
ejpam-5344	171	4	=	=	X
ejpam-5344	171	5	(	(	PUNCT
ejpam-5344	171	6	µa	µa	INTJ
ejpam-5344	171	7	,	,	PUNCT
ejpam-5344	171	8	γa	γa	PROPN
ejpam-5344	171	9	)	)	PUNCT
ejpam-5344	171	10	is	be	AUX
ejpam-5344	171	11	an	an	DET
ejpam-5344	171	12	intuitionistic	intuitionistic	ADJ
ejpam-5344	171	13	fuzzy	fuzzy	ADJ
ejpam-5344	171	14	implicative	implicative	ADJ
ejpam-5344	171	15	hyper	hyper	ADJ
ejpam-5344	171	16	gr	gr	NOUN
ejpam-5344	171	17	-	-	PUNCT
ejpam-5344	171	18	ideal	ideal	NOUN
ejpam-5344	171	19	of	of	ADP
ejpam-5344	171	20	h.	h.	PROPN
ejpam-5344	171	21	theorem	theorem	PROPN
ejpam-5344	171	22	3	3	X
ejpam-5344	171	23	.	.	PUNCT
ejpam-5344	172	1	if	if	SCONJ
ejpam-5344	172	2	a	a	PRON
ejpam-5344	172	3	=	=	X
ejpam-5344	172	4	(	(	PUNCT
ejpam-5344	172	5	µa	µa	INTJ
ejpam-5344	172	6	,	,	PUNCT
ejpam-5344	172	7	γa	γa	PROPN
ejpam-5344	172	8	)	)	PUNCT
ejpam-5344	172	9	is	be	AUX
ejpam-5344	172	10	an	an	DET
ejpam-5344	172	11	intuitionistic	intuitionistic	ADJ
ejpam-5344	172	12	fuzzy	fuzzy	ADJ
ejpam-5344	172	13	implicative	implicative	ADJ
ejpam-5344	172	14	hyper	hyper	ADJ
ejpam-5344	172	15	gr	gr	NOUN
ejpam-5344	172	16	-	-	PUNCT
ejpam-5344	172	17	ideal	ideal	NOUN
ejpam-5344	172	18	of	of	ADP
ejpam-5344	172	19	a	a	DET
ejpam-5344	172	20	hyper	hyper	ADJ
ejpam-5344	172	21	gr	gr	NOUN
ejpam-5344	172	22	-	-	PUNCT
ejpam-5344	172	23	algebra	algebra	NOUN
ejpam-5344	172	24	h	h	NOUN
ejpam-5344	172	25	,	,	PUNCT
ejpam-5344	172	26	then	then	ADV
ejpam-5344	172	27	the	the	DET
ejpam-5344	172	28	set	set	NOUN
ejpam-5344	172	29	j	j	PROPN
ejpam-5344	172	30	=	=	PRON
ejpam-5344	172	31	{	{	PUNCT
ejpam-5344	172	32	x	x	PUNCT
ejpam-5344	172	33	∈	∈	PROPN
ejpam-5344	172	34	h	h	NOUN
ejpam-5344	172	35	:	:	PUNCT
ejpam-5344	172	36	µa(x	µa(x	NOUN
ejpam-5344	172	37	)	)	PUNCT
ejpam-5344	172	38	=	=	SYM
ejpam-5344	172	39	µa(0	µa(0	NOUN
ejpam-5344	172	40	)	)	PUNCT
ejpam-5344	172	41	and	and	CCONJ
ejpam-5344	172	42	γa(x	γa(x	NUM
ejpam-5344	172	43	)	)	PUNCT
ejpam-5344	172	44	=	=	SYM
ejpam-5344	173	1	γa(0	γa(0	NOUN
ejpam-5344	173	2	)	)	PUNCT
ejpam-5344	173	3	}	}	PUNCT
ejpam-5344	173	4	is	be	AUX
ejpam-5344	173	5	an	an	DET
ejpam-5344	173	6	implicative	implicative	ADJ
ejpam-5344	173	7	hyper	hyper	ADJ
ejpam-5344	173	8	gr	gr	NOUN
ejpam-5344	173	9	-	-	PUNCT
ejpam-5344	173	10	ideal	ideal	NOUN
ejpam-5344	173	11	of	of	ADP
ejpam-5344	173	12	h.	h.	NOUN
ejpam-5344	173	13	proof	proof	NOUN
ejpam-5344	173	14	:	:	PUNCT
ejpam-5344	173	15	suppose	suppose	VERB
ejpam-5344	173	16	a	a	PRON
ejpam-5344	173	17	=	=	X
ejpam-5344	173	18	(	(	PUNCT
ejpam-5344	173	19	µa	µa	INTJ
ejpam-5344	173	20	,	,	PUNCT
ejpam-5344	173	21	γa	γa	PROPN
ejpam-5344	173	22	)	)	PUNCT
ejpam-5344	173	23	is	be	AUX
ejpam-5344	173	24	an	an	DET
ejpam-5344	173	25	intuitionistic	intuitionistic	ADJ
ejpam-5344	173	26	fuzzy	fuzzy	ADJ
ejpam-5344	173	27	implicative	implicative	ADJ
ejpam-5344	173	28	hyper	hyper	ADJ
ejpam-5344	173	29	gr	gr	NOUN
ejpam-5344	173	30	-	-	PUNCT
ejpam-5344	173	31	ideal	ideal	NOUN
ejpam-5344	173	32	of	of	ADP
ejpam-5344	173	33	a	a	DET
ejpam-5344	173	34	hyper	hyper	ADJ
ejpam-5344	173	35	gr	gr	NOUN
ejpam-5344	173	36	-	-	PUNCT
ejpam-5344	173	37	algebra	algebra	NOUN
ejpam-5344	173	38	h.	h.	NOUN
ejpam-5344	173	39	let	let	VERB
ejpam-5344	173	40	x	x	PRON
ejpam-5344	173	41	,	,	PUNCT
ejpam-5344	173	42	y	y	PROPN
ejpam-5344	173	43	,	,	PUNCT
ejpam-5344	173	44	z	z	PROPN
ejpam-5344	173	45	∈	∈	PROPN
ejpam-5344	173	46	h	h	NOUN
ejpam-5344	173	47	such	such	ADJ
ejpam-5344	173	48	that	that	SCONJ
ejpam-5344	173	49	(	(	PUNCT
ejpam-5344	173	50	x⊛	x⊛	PROPN
ejpam-5344	173	51	z)⊛	z)⊛	PROPN
ejpam-5344	173	52	(	(	PUNCT
ejpam-5344	173	53	y⊛x	y⊛x	PROPN
ejpam-5344	173	54	)	)	PUNCT
ejpam-5344	173	55	⊆	⊆	NUM
ejpam-5344	173	56	j	j	PROPN
ejpam-5344	173	57	and	and	CCONJ
ejpam-5344	173	58	z	z	PROPN
ejpam-5344	173	59	∈	∈	PROPN
ejpam-5344	174	1	j	j	PROPN
ejpam-5344	174	2	.	.	PUNCT
ejpam-5344	175	1	it	it	PRON
ejpam-5344	175	2	follows	follow	VERB
ejpam-5344	175	3	that	that	SCONJ
ejpam-5344	175	4	0	0	NUM
ejpam-5344	175	5	∈	∈	PROPN
ejpam-5344	175	6	j	j	PROPN
ejpam-5344	175	7	.	.	PUNCT
ejpam-5344	176	1	then	then	ADV
ejpam-5344	176	2	,	,	PUNCT
ejpam-5344	176	3	µa(z	µa(z	PUNCT
ejpam-5344	176	4	)	)	PUNCT
ejpam-5344	176	5	=	=	SYM
ejpam-5344	176	6	µa(0	µa(0	NOUN
ejpam-5344	176	7	)	)	PUNCT
ejpam-5344	176	8	,	,	PUNCT
ejpam-5344	176	9	γa(z	γa(z	PROPN
ejpam-5344	176	10	)	)	PUNCT
ejpam-5344	176	11	=	=	PUNCT
ejpam-5344	176	12	γa(0	γa(0	NOUN
ejpam-5344	176	13	)	)	PUNCT
ejpam-5344	176	14	,	,	PUNCT
ejpam-5344	176	15	µa(u	µa(u	PUNCT
ejpam-5344	176	16	)	)	PUNCT
ejpam-5344	176	17	=	=	SYM
ejpam-5344	176	18	µa(0	µa(0	NOUN
ejpam-5344	176	19	)	)	PUNCT
ejpam-5344	176	20	and	and	CCONJ
ejpam-5344	176	21	γa(v	γa(v	PUNCT
ejpam-5344	176	22	)	)	PUNCT
ejpam-5344	177	1	=	=	PUNCT
ejpam-5344	177	2	γa(0	γa(0	NOUN
ejpam-5344	177	3	)	)	PUNCT
ejpam-5344	177	4	for	for	ADP
ejpam-5344	177	5	any	any	DET
ejpam-5344	177	6	u	u	NOUN
ejpam-5344	177	7	,	,	PUNCT
ejpam-5344	177	8	v	v	PROPN
ejpam-5344	177	9	∈	∈	PROPN
ejpam-5344	177	10	(	(	PUNCT
ejpam-5344	177	11	x⊛	x⊛	PROPN
ejpam-5344	177	12	z)⊛	z)⊛	PROPN
ejpam-5344	177	13	(	(	PUNCT
ejpam-5344	177	14	y	y	PROPN
ejpam-5344	177	15	⊛	⊛	NUM
ejpam-5344	177	16	x	x	NOUN
ejpam-5344	177	17	)	)	PUNCT
ejpam-5344	177	18	.	.	PUNCT
ejpam-5344	178	1	by	by	ADP
ejpam-5344	178	2	ifigr1	ifigr1	PROPN
ejpam-5344	178	3	,	,	PUNCT
ejpam-5344	178	4	µa(0	µa(0	NOUN
ejpam-5344	178	5	)	)	PUNCT
ejpam-5344	178	6	≥	≥	NOUN
ejpam-5344	178	7	µa(x	µa(x	NOUN
ejpam-5344	178	8	)	)	PUNCT
ejpam-5344	178	9	and	and	CCONJ
ejpam-5344	178	10	γa(0	γa(0	NOUN
ejpam-5344	178	11	)	)	PUNCT
ejpam-5344	178	12	≤	≤	NOUN
ejpam-5344	178	13	γa(x	γa(x	NUM
ejpam-5344	178	14	)	)	PUNCT
ejpam-5344	178	15	.	.	PUNCT
ejpam-5344	179	1	by	by	ADP
ejpam-5344	179	2	ifigr2	ifigr2	NOUN
ejpam-5344	179	3	and	and	CCONJ
ejpam-5344	179	4	ifigr3	ifigr3	NOUN
ejpam-5344	179	5	,	,	PUNCT
ejpam-5344	179	6	a.	a.	NOUN
ejpam-5344	179	7	macodi	macodi	NOUN
ejpam-5344	179	8	,	,	PUNCT
ejpam-5344	179	9	a.	a.	NOUN
ejpam-5344	179	10	dorig	dorig	PROPN
ejpam-5344	179	11	/	/	SYM
ejpam-5344	179	12	eur	eur	PROPN
ejpam-5344	179	13	.	.	PUNCT
ejpam-5344	180	1	j.	j.	PROPN
ejpam-5344	180	2	pure	pure	PROPN
ejpam-5344	180	3	appl	appl	PROPN
ejpam-5344	180	4	.	.	PROPN
ejpam-5344	180	5	math	math	PROPN
ejpam-5344	180	6	,	,	PUNCT
ejpam-5344	180	7	17	17	NUM
ejpam-5344	180	8	(	(	PUNCT
ejpam-5344	180	9	3	3	NUM
ejpam-5344	180	10	)	)	PUNCT
ejpam-5344	180	11	(	(	PUNCT
ejpam-5344	180	12	2024	2024	NUM
ejpam-5344	180	13	)	)	PUNCT
ejpam-5344	180	14	,	,	PUNCT
ejpam-5344	180	15	2221	2221	NUM
ejpam-5344	180	16	-	-	SYM
ejpam-5344	180	17	2234	2234	NUM
ejpam-5344	180	18	2230	2230	NUM
ejpam-5344	180	19	µa(0	µa(0	NOUN
ejpam-5344	180	20	)	)	PUNCT
ejpam-5344	180	21	≥	≥	NOUN
ejpam-5344	180	22	µa(x	µa(x	NOUN
ejpam-5344	180	23	)	)	PUNCT
ejpam-5344	180	24	≥	≥	PROPN
ejpam-5344	180	25	min	min	PROPN
ejpam-5344	180	26	{	{	PUNCT
ejpam-5344	180	27	inf	inf	NOUN
ejpam-5344	180	28	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	180	29	)	)	PUNCT
ejpam-5344	180	30	µa(u	µa(u	NOUN
ejpam-5344	180	31	)	)	PUNCT
ejpam-5344	180	32	,	,	PUNCT
ejpam-5344	180	33	µa(z	µa(z	PRON
ejpam-5344	180	34	)	)	PUNCT
ejpam-5344	180	35	}	}	PUNCT
ejpam-5344	181	1	=	=	SYM
ejpam-5344	181	2	µa(0	µa(0	NOUN
ejpam-5344	181	3	)	)	PUNCT
ejpam-5344	181	4	and	and	CCONJ
ejpam-5344	181	5	γa(0	γa(0	NOUN
ejpam-5344	181	6	)	)	PUNCT
ejpam-5344	181	7	≤	≤	NOUN
ejpam-5344	181	8	γa(x	γa(x	NUM
ejpam-5344	181	9	)	)	PUNCT
ejpam-5344	181	10	≤	≤	NUM
ejpam-5344	181	11	max	max	PROPN
ejpam-5344	181	12	{	{	PUNCT
ejpam-5344	181	13	sup	sup	NOUN
ejpam-5344	181	14	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	181	15	)	)	PUNCT
ejpam-5344	181	16	γa(v	γa(v	PUNCT
ejpam-5344	181	17	)	)	PUNCT
ejpam-5344	181	18	,	,	PUNCT
ejpam-5344	181	19	γa(z	γa(z	PROPN
ejpam-5344	181	20	)	)	PUNCT
ejpam-5344	181	21	}	}	PUNCT
ejpam-5344	181	22	=	=	SYM
ejpam-5344	181	23	γ(0	γ(0	PROPN
ejpam-5344	181	24	)	)	PUNCT
ejpam-5344	181	25	.	.	PUNCT
ejpam-5344	182	1	this	this	PRON
ejpam-5344	182	2	implies	imply	VERB
ejpam-5344	182	3	that	that	SCONJ
ejpam-5344	182	4	µa(x	µa(x	NOUN
ejpam-5344	182	5	)	)	PUNCT
ejpam-5344	182	6	=	=	SYM
ejpam-5344	182	7	µa(0	µa(0	NOUN
ejpam-5344	182	8	)	)	PUNCT
ejpam-5344	182	9	and	and	CCONJ
ejpam-5344	182	10	γa(x	γa(x	NUM
ejpam-5344	182	11	)	)	PUNCT
ejpam-5344	182	12	=	=	SYM
ejpam-5344	182	13	γa(0	γa(0	NOUN
ejpam-5344	182	14	)	)	PUNCT
ejpam-5344	182	15	and	and	CCONJ
ejpam-5344	182	16	so	so	ADV
ejpam-5344	182	17	x	x	SYM
ejpam-5344	182	18	∈	∈	PROPN
ejpam-5344	182	19	j	j	PROPN
ejpam-5344	182	20	.	.	PUNCT
ejpam-5344	183	1	thus	thus	ADV
ejpam-5344	183	2	,	,	PUNCT
ejpam-5344	183	3	j	j	PROPN
ejpam-5344	183	4	is	be	AUX
ejpam-5344	183	5	an	an	DET
ejpam-5344	183	6	implicative	implicative	ADJ
ejpam-5344	183	7	hyper	hyper	ADJ
ejpam-5344	183	8	gr	gr	NOUN
ejpam-5344	183	9	-	-	PUNCT
ejpam-5344	183	10	ideal	ideal	NOUN
ejpam-5344	183	11	of	of	ADP
ejpam-5344	183	12	h.	h.	PROPN
ejpam-5344	183	13	theorem	theorem	PROPN
ejpam-5344	183	14	4	4	NUM
ejpam-5344	183	15	.	.	PUNCT
ejpam-5344	184	1	if	if	SCONJ
ejpam-5344	184	2	a	a	PRON
ejpam-5344	184	3	=	=	X
ejpam-5344	184	4	(	(	PUNCT
ejpam-5344	184	5	µa	µa	INTJ
ejpam-5344	184	6	,	,	PUNCT
ejpam-5344	184	7	γa	γa	PROPN
ejpam-5344	184	8	)	)	PUNCT
ejpam-5344	184	9	is	be	AUX
ejpam-5344	184	10	an	an	DET
ejpam-5344	184	11	intuitionistic	intuitionistic	ADJ
ejpam-5344	184	12	fuzzy	fuzzy	ADJ
ejpam-5344	184	13	implicative	implicative	ADJ
ejpam-5344	184	14	hyper	hyper	ADJ
ejpam-5344	184	15	gr	gr	NOUN
ejpam-5344	184	16	-	-	PUNCT
ejpam-5344	184	17	ideal	ideal	NOUN
ejpam-5344	184	18	of	of	ADP
ejpam-5344	184	19	a	a	DET
ejpam-5344	184	20	hyper	hyper	ADJ
ejpam-5344	184	21	gr	gr	NOUN
ejpam-5344	184	22	-	-	PUNCT
ejpam-5344	184	23	algebra	algebra	NOUN
ejpam-5344	184	24	h	h	NOUN
ejpam-5344	184	25	,	,	PUNCT
ejpam-5344	184	26	then	then	ADV
ejpam-5344	184	27	µa(x	µa(x	NOUN
ejpam-5344	184	28	)	)	PUNCT
ejpam-5344	184	29	≥	≥	PROPN
ejpam-5344	184	30	inf	inf	NOUN
ejpam-5344	184	31	u∈(x⊛0)⊛(y⊛x	u∈(x⊛0)⊛(y⊛x	PUNCT
ejpam-5344	184	32	)	)	PUNCT
ejpam-5344	184	33	µa(u	µa(u	PUNCT
ejpam-5344	184	34	)	)	PUNCT
ejpam-5344	184	35	and	and	CCONJ
ejpam-5344	184	36	γa(x	γa(x	NUM
ejpam-5344	184	37	)	)	PUNCT
ejpam-5344	184	38	≤	≤	NUM
ejpam-5344	184	39	sup	sup	NOUN
ejpam-5344	184	40	v∈(x⊛0)⊛(y⊛x	v∈(x⊛0)⊛(y⊛x	NOUN
ejpam-5344	184	41	)	)	PUNCT
ejpam-5344	184	42	γa(v	γa(v	PUNCT
ejpam-5344	184	43	)	)	PUNCT
ejpam-5344	184	44	for	for	ADP
ejpam-5344	184	45	all	all	DET
ejpam-5344	184	46	x	x	NOUN
ejpam-5344	184	47	,	,	PUNCT
ejpam-5344	184	48	y	y	PROPN
ejpam-5344	184	49	∈	∈	PROPN
ejpam-5344	184	50	h.	h.	NOUN
ejpam-5344	184	51	proof	proof	NOUN
ejpam-5344	184	52	:	:	PUNCT
ejpam-5344	184	53	suppose	suppose	VERB
ejpam-5344	184	54	a	a	PRON
ejpam-5344	184	55	=	=	X
ejpam-5344	184	56	(	(	PUNCT
ejpam-5344	184	57	µa	µa	INTJ
ejpam-5344	184	58	,	,	PUNCT
ejpam-5344	184	59	γa	γa	PROPN
ejpam-5344	184	60	)	)	PUNCT
ejpam-5344	184	61	is	be	AUX
ejpam-5344	184	62	an	an	DET
ejpam-5344	184	63	intuitionistic	intuitionistic	ADJ
ejpam-5344	184	64	fuzzy	fuzzy	ADJ
ejpam-5344	184	65	implicative	implicative	ADJ
ejpam-5344	184	66	hyper	hyper	ADJ
ejpam-5344	184	67	gr	gr	NOUN
ejpam-5344	184	68	-	-	PUNCT
ejpam-5344	184	69	ideal	ideal	NOUN
ejpam-5344	184	70	of	of	ADP
ejpam-5344	184	71	a	a	DET
ejpam-5344	184	72	hyper	hyper	ADJ
ejpam-5344	184	73	gr	gr	NOUN
ejpam-5344	184	74	-	-	PUNCT
ejpam-5344	184	75	algebra	algebra	NOUN
ejpam-5344	184	76	h.	h.	NOUN
ejpam-5344	184	77	let	let	VERB
ejpam-5344	184	78	x	x	PRON
ejpam-5344	184	79	,	,	PUNCT
ejpam-5344	184	80	y	y	PROPN
ejpam-5344	184	81	∈	∈	PROPN
ejpam-5344	184	82	h.	h.	PROPN
ejpam-5344	184	83	by	by	ADP
ejpam-5344	184	84	ifigr2	ifigr2	PROPN
ejpam-5344	184	85	and	and	CCONJ
ejpam-5344	184	86	ifigr1	ifigr1	PROPN
ejpam-5344	184	87	,	,	PUNCT
ejpam-5344	184	88	µa(x	µa(x	ADV
ejpam-5344	184	89	)	)	PUNCT
ejpam-5344	184	90	≥	≥	PROPN
ejpam-5344	184	91	min	min	PROPN
ejpam-5344	184	92	{	{	PUNCT
ejpam-5344	184	93	inf	inf	NOUN
ejpam-5344	184	94	u∈(x⊛0)⊛(y⊛x	u∈(x⊛0)⊛(y⊛x	NOUN
ejpam-5344	184	95	)	)	PUNCT
ejpam-5344	184	96	µa(u	µa(u	NOUN
ejpam-5344	184	97	)	)	PUNCT
ejpam-5344	184	98	,	,	PUNCT
ejpam-5344	184	99	µa(0	µa(0	NOUN
ejpam-5344	184	100	)	)	PUNCT
ejpam-5344	184	101	}	}	PUNCT
ejpam-5344	184	102	=	=	SYM
ejpam-5344	184	103	inf	inf	NOUN
ejpam-5344	184	104	u∈(x⊛0)⊛(y⊛x	u∈(x⊛0)⊛(y⊛x	NOUN
ejpam-5344	184	105	)	)	PUNCT
ejpam-5344	184	106	µa(u	µa(u	NOUN
ejpam-5344	184	107	)	)	PUNCT
ejpam-5344	184	108	.	.	PUNCT
ejpam-5344	185	1	also	also	ADV
ejpam-5344	185	2	by	by	ADP
ejpam-5344	185	3	ifigr3	ifigr3	NOUN
ejpam-5344	185	4	and	and	CCONJ
ejpam-5344	185	5	ifigr1	ifigr1	PROPN
ejpam-5344	185	6	,	,	PUNCT
ejpam-5344	185	7	γa(x	γa(x	NUM
ejpam-5344	185	8	)	)	PUNCT
ejpam-5344	185	9	≤	≤	NUM
ejpam-5344	185	10	max	max	PROPN
ejpam-5344	185	11	{	{	PUNCT
ejpam-5344	185	12	sup	sup	NOUN
ejpam-5344	185	13	v∈(x⊛0)⊛(y⊛x	v∈(x⊛0)⊛(y⊛x	NOUN
ejpam-5344	185	14	)	)	PUNCT
ejpam-5344	185	15	γa(v	γa(v	PUNCT
ejpam-5344	185	16	)	)	PUNCT
ejpam-5344	185	17	,	,	PUNCT
ejpam-5344	185	18	γa(0	γa(0	NOUN
ejpam-5344	185	19	)	)	PUNCT
ejpam-5344	185	20	}	}	PUNCT
ejpam-5344	185	21	=	=	SYM
ejpam-5344	185	22	sup	sup	NOUN
ejpam-5344	185	23	v∈(x⊛0)⊛(y⊛x	v∈(x⊛0)⊛(y⊛x	NOUN
ejpam-5344	185	24	)	)	PUNCT
ejpam-5344	185	25	γa(v	γa(v	PUNCT
ejpam-5344	185	26	)	)	PUNCT
ejpam-5344	185	27	.	.	PUNCT
ejpam-5344	186	1	lemma	lemma	PROPN
ejpam-5344	186	2	3.1	3.1	NUM
ejpam-5344	186	3	.	.	PUNCT
ejpam-5344	187	1	an	an	DET
ejpam-5344	187	2	intuitionistic	intuitionistic	ADJ
ejpam-5344	187	3	fuzzy	fuzzy	ADJ
ejpam-5344	187	4	sets	set	NOUN
ejpam-5344	187	5	a	a	PRON
ejpam-5344	187	6	=	=	SYM
ejpam-5344	187	7	(	(	PUNCT
ejpam-5344	187	8	µa	µa	INTJ
ejpam-5344	187	9	,	,	PUNCT
ejpam-5344	187	10	γa	γa	PROPN
ejpam-5344	187	11	)	)	PUNCT
ejpam-5344	187	12	is	be	AUX
ejpam-5344	187	13	an	an	DET
ejpam-5344	187	14	intuitionistic	intuitionistic	ADJ
ejpam-5344	187	15	fuzzy	fuzzy	ADJ
ejpam-5344	187	16	implicative	implicative	ADJ
ejpam-5344	187	17	hyper	hyper	ADJ
ejpam-5344	187	18	gr	gr	NOUN
ejpam-5344	187	19	-	-	PUNCT
ejpam-5344	187	20	ideal	ideal	NOUN
ejpam-5344	187	21	of	of	ADP
ejpam-5344	187	22	a	a	DET
ejpam-5344	187	23	hyper	hyper	ADJ
ejpam-5344	187	24	gr	gr	NOUN
ejpam-5344	187	25	-	-	PUNCT
ejpam-5344	187	26	algebra	algebra	NOUN
ejpam-5344	187	27	h	h	NOUN
ejpam-5344	187	28	if	if	SCONJ
ejpam-5344	188	1	and	and	CCONJ
ejpam-5344	188	2	only	only	ADV
ejpam-5344	188	3	if	if	SCONJ
ejpam-5344	188	4	the	the	DET
ejpam-5344	188	5	fuzzy	fuzzy	ADJ
ejpam-5344	188	6	sets	set	VERB
ejpam-5344	188	7	µa	µa	NOUN
ejpam-5344	188	8	and	and	CCONJ
ejpam-5344	188	9	γ̄a	γ̄a	PROPN
ejpam-5344	188	10	are	be	AUX
ejpam-5344	188	11	fuzzy	fuzzy	ADJ
ejpam-5344	188	12	implicative	implicative	ADJ
ejpam-5344	188	13	hyper	hyper	ADJ
ejpam-5344	188	14	gr	gr	NOUN
ejpam-5344	188	15	-	-	PUNCT
ejpam-5344	188	16	ideals	ideal	NOUN
ejpam-5344	188	17	of	of	ADP
ejpam-5344	188	18	type	type	NOUN
ejpam-5344	188	19	1	1	NUM
ejpam-5344	188	20	in	in	ADP
ejpam-5344	188	21	h.	h.	NOUN
ejpam-5344	188	22	proof	proof	NOUN
ejpam-5344	188	23	:	:	PUNCT
ejpam-5344	188	24	suppose	suppose	VERB
ejpam-5344	188	25	a	a	PRON
ejpam-5344	188	26	=	=	X
ejpam-5344	188	27	(	(	PUNCT
ejpam-5344	188	28	µa	µa	INTJ
ejpam-5344	188	29	,	,	PUNCT
ejpam-5344	188	30	γa	γa	PROPN
ejpam-5344	188	31	)	)	PUNCT
ejpam-5344	188	32	is	be	AUX
ejpam-5344	188	33	an	an	DET
ejpam-5344	188	34	intuitionistic	intuitionistic	ADJ
ejpam-5344	188	35	fuzzy	fuzzy	ADJ
ejpam-5344	188	36	implicative	implicative	ADJ
ejpam-5344	188	37	hyper	hyper	ADJ
ejpam-5344	188	38	gr	gr	NOUN
ejpam-5344	188	39	-	-	PUNCT
ejpam-5344	188	40	ideal	ideal	NOUN
ejpam-5344	188	41	of	of	ADP
ejpam-5344	188	42	h.	h.	PROPN
ejpam-5344	188	43	by	by	ADP
ejpam-5344	188	44	ifigr1	ifigr1	PROPN
ejpam-5344	188	45	and	and	CCONJ
ejpam-5344	188	46	ifigr2	ifigr2	PROPN
ejpam-5344	188	47	,	,	PUNCT
ejpam-5344	188	48	for	for	ADP
ejpam-5344	188	49	any	any	DET
ejpam-5344	188	50	x	x	NOUN
ejpam-5344	188	51	,	,	PUNCT
ejpam-5344	188	52	y	y	PROPN
ejpam-5344	188	53	,	,	PUNCT
ejpam-5344	188	54	z	z	PROPN
ejpam-5344	188	55	∈	∈	PROPN
ejpam-5344	188	56	h	h	NOUN
ejpam-5344	188	57	,	,	PUNCT
ejpam-5344	188	58	µa(x	µa(x	ADP
ejpam-5344	188	59	)	)	PUNCT
ejpam-5344	188	60	≤	≤	NUM
ejpam-5344	188	61	µa(0	µa(0	NOUN
ejpam-5344	188	62	)	)	PUNCT
ejpam-5344	188	63	and	and	CCONJ
ejpam-5344	188	64	µa(x	µa(x	NOUN
ejpam-5344	188	65	)	)	PUNCT
ejpam-5344	188	66	≥	≥	PROPN
ejpam-5344	188	67	min	min	PROPN
ejpam-5344	188	68	{	{	PUNCT
ejpam-5344	188	69	inf	inf	NOUN
ejpam-5344	188	70	u∈(x⊛z)⊛(y⊛x	u∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	188	71	)	)	PUNCT
ejpam-5344	188	72	µa(u	µa(u	NOUN
ejpam-5344	188	73	)	)	PUNCT
ejpam-5344	188	74	,	,	PUNCT
ejpam-5344	188	75	µa(z	µa(z	NUM
ejpam-5344	188	76	)	)	PUNCT
ejpam-5344	188	77	}	}	PUNCT
ejpam-5344	188	78	hence	hence	ADV
ejpam-5344	188	79	,	,	PUNCT
ejpam-5344	188	80	µa	µa	ADV
ejpam-5344	188	81	is	be	AUX
ejpam-5344	188	82	a	a	DET
ejpam-5344	188	83	fuzzy	fuzzy	ADJ
ejpam-5344	188	84	implicative	implicative	ADJ
ejpam-5344	188	85	hyper	hyper	ADJ
ejpam-5344	188	86	gr	gr	NOUN
ejpam-5344	188	87	-	-	PUNCT
ejpam-5344	188	88	ideal	ideal	NOUN
ejpam-5344	188	89	of	of	ADP
ejpam-5344	188	90	type	type	NOUN
ejpam-5344	188	91	1	1	NUM
ejpam-5344	188	92	in	in	ADP
ejpam-5344	188	93	h.	h.	PROPN
ejpam-5344	188	94	let	let	VERB
ejpam-5344	188	95	x	x	PRON
ejpam-5344	188	96	,	,	PUNCT
ejpam-5344	188	97	y	y	PROPN
ejpam-5344	188	98	,	,	PUNCT
ejpam-5344	188	99	z	z	PROPN
ejpam-5344	188	100	∈	∈	PROPN
ejpam-5344	188	101	h.	h.	NOUN
ejpam-5344	188	102	by	by	ADP
ejpam-5344	188	103	ifigr1	ifigr1	PROPN
ejpam-5344	188	104	and	and	CCONJ
ejpam-5344	188	105	ifigr3	ifigr3	NOUN
ejpam-5344	188	106	,	,	PUNCT
ejpam-5344	188	107	γa(x	γa(x	NUM
ejpam-5344	188	108	)	)	PUNCT
ejpam-5344	188	109	≥	≥	NUM
ejpam-5344	188	110	γa(0	γa(0	NOUN
ejpam-5344	188	111	)	)	PUNCT
ejpam-5344	188	112	and	and	CCONJ
ejpam-5344	189	1	γa(x	γa(x	NUM
ejpam-5344	189	2	)	)	PUNCT
ejpam-5344	189	3	≤	≤	NUM
ejpam-5344	189	4	max	max	PROPN
ejpam-5344	189	5	{	{	PUNCT
ejpam-5344	189	6	sup	sup	NOUN
ejpam-5344	189	7	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	189	8	)	)	PUNCT
ejpam-5344	189	9	γa(v	γa(v	PUNCT
ejpam-5344	189	10	)	)	PUNCT
ejpam-5344	189	11	,	,	PUNCT
ejpam-5344	189	12	γa(z	γa(z	PROPN
ejpam-5344	189	13	)	)	PUNCT
ejpam-5344	189	14	}	}	PUNCT
ejpam-5344	189	15	.	.	PUNCT
ejpam-5344	190	1	a.	a.	NOUN
ejpam-5344	190	2	macodi	macodi	PROPN
ejpam-5344	190	3	,	,	PUNCT
ejpam-5344	190	4	a.	a.	NOUN
ejpam-5344	190	5	dorig	dorig	PROPN
ejpam-5344	190	6	/	/	SYM
ejpam-5344	190	7	eur	eur	PROPN
ejpam-5344	190	8	.	.	PUNCT
ejpam-5344	191	1	j.	j.	PROPN
ejpam-5344	191	2	pure	pure	PROPN
ejpam-5344	191	3	appl	appl	PROPN
ejpam-5344	191	4	.	.	PROPN
ejpam-5344	191	5	math	math	PROPN
ejpam-5344	191	6	,	,	PUNCT
ejpam-5344	191	7	17	17	NUM
ejpam-5344	191	8	(	(	PUNCT
ejpam-5344	191	9	3	3	NUM
ejpam-5344	191	10	)	)	PUNCT
ejpam-5344	191	11	(	(	PUNCT
ejpam-5344	191	12	2024	2024	NUM
ejpam-5344	191	13	)	)	PUNCT
ejpam-5344	191	14	,	,	PUNCT
ejpam-5344	191	15	2221	2221	NUM
ejpam-5344	191	16	-	-	SYM
ejpam-5344	191	17	2234	2234	NUM
ejpam-5344	191	18	2231	2231	NUM
ejpam-5344	191	19	then	then	ADV
ejpam-5344	191	20	γ̄a(x	γ̄a(x	AUX
ejpam-5344	191	21	)	)	PUNCT
ejpam-5344	191	22	=	=	SYM
ejpam-5344	191	23	1−	1−	NUM
ejpam-5344	191	24	γa(x	γa(x	NUM
ejpam-5344	191	25	)	)	PUNCT
ejpam-5344	191	26	≤	≤	NOUN
ejpam-5344	191	27	1−	1−	NUM
ejpam-5344	191	28	γa(0	γa(0	NOUN
ejpam-5344	191	29	)	)	PUNCT
ejpam-5344	191	30	=	=	PUNCT
ejpam-5344	191	31	γ̄a(0	γ̄a(0	NUM
ejpam-5344	191	32	)	)	PUNCT
ejpam-5344	191	33	,	,	PUNCT
ejpam-5344	191	34	that	that	ADV
ejpam-5344	191	35	is	is	ADV
ejpam-5344	191	36	,	,	PUNCT
ejpam-5344	191	37	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	191	38	)	)	PUNCT
ejpam-5344	191	39	≤	≤	NOUN
ejpam-5344	191	40	γ̄a(0	γ̄a(0	NUM
ejpam-5344	191	41	)	)	PUNCT
ejpam-5344	191	42	.	.	PUNCT
ejpam-5344	192	1	by	by	ADP
ejpam-5344	192	2	corollary	corollary	NOUN
ejpam-5344	192	3	1(a	1(a	NUM
ejpam-5344	192	4	)	)	PUNCT
ejpam-5344	192	5	and	and	CCONJ
ejpam-5344	192	6	lemma	lemma	PROPN
ejpam-5344	192	7	1(a	1(a	NUM
ejpam-5344	192	8	)	)	PUNCT
ejpam-5344	192	9	,	,	PUNCT
ejpam-5344	192	10	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	192	11	)	)	PUNCT
ejpam-5344	192	12	=	=	SYM
ejpam-5344	192	13	1−	1−	NUM
ejpam-5344	192	14	γa(x	γa(x	NUM
ejpam-5344	192	15	)	)	PUNCT
ejpam-5344	192	16	≥	≥	NOUN
ejpam-5344	192	17	1−max	1−max	NUM
ejpam-5344	192	18	{	{	PUNCT
ejpam-5344	192	19	sup	sup	NOUN
ejpam-5344	192	20	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	192	21	)	)	PUNCT
ejpam-5344	192	22	γa(v	γa(v	PUNCT
ejpam-5344	192	23	)	)	PUNCT
ejpam-5344	192	24	,	,	PUNCT
ejpam-5344	192	25	γa(z	γa(z	PROPN
ejpam-5344	192	26	)	)	PUNCT
ejpam-5344	192	27	}	}	PUNCT
ejpam-5344	192	28	=	=	SYM
ejpam-5344	192	29	min	min	NOUN
ejpam-5344	192	30	{	{	PUNCT
ejpam-5344	192	31	1−	1−	NUM
ejpam-5344	192	32	sup	sup	NOUN
ejpam-5344	192	33	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	192	34	)	)	PUNCT
ejpam-5344	192	35	γa(v	γa(v	PUNCT
ejpam-5344	192	36	)	)	PUNCT
ejpam-5344	192	37	,	,	PUNCT
ejpam-5344	192	38	1−	1−	NUM
ejpam-5344	192	39	γa(z	γa(z	NOUN
ejpam-5344	192	40	)	)	PUNCT
ejpam-5344	192	41	}	}	PUNCT
ejpam-5344	192	42	=	=	SYM
ejpam-5344	192	43	min	min	NOUN
ejpam-5344	192	44	{	{	PUNCT
ejpam-5344	192	45	inf	inf	NOUN
ejpam-5344	192	46	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	192	47	)	)	PUNCT
ejpam-5344	192	48	(	(	PUNCT
ejpam-5344	192	49	1−	1−	NUM
ejpam-5344	192	50	γa(v	γa(v	NUM
ejpam-5344	192	51	)	)	PUNCT
ejpam-5344	192	52	)	)	PUNCT
ejpam-5344	192	53	,	,	PUNCT
ejpam-5344	192	54	1−	1−	NUM
ejpam-5344	192	55	γa(z	γa(z	NOUN
ejpam-5344	192	56	)	)	PUNCT
ejpam-5344	192	57	}	}	PUNCT
ejpam-5344	192	58	=	=	SYM
ejpam-5344	192	59	min	min	NOUN
ejpam-5344	192	60	{	{	PUNCT
ejpam-5344	192	61	inf	inf	NOUN
ejpam-5344	192	62	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	192	63	)	)	PUNCT
ejpam-5344	192	64	γ̄a(v	γ̄a(v	PROPN
ejpam-5344	192	65	)	)	PUNCT
ejpam-5344	192	66	,	,	PUNCT
ejpam-5344	192	67	γ̄a(z	γ̄a(z	NOUN
ejpam-5344	192	68	)	)	PUNCT
ejpam-5344	192	69	}	}	PUNCT
ejpam-5344	192	70	.	.	PUNCT
ejpam-5344	192	71	implies	imply	VERB
ejpam-5344	192	72	that	that	SCONJ
ejpam-5344	192	73	,	,	PUNCT
ejpam-5344	192	74	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	192	75	)	)	PUNCT
ejpam-5344	192	76	≥	≥	NOUN
ejpam-5344	192	77	min	min	PROPN
ejpam-5344	192	78	{	{	PUNCT
ejpam-5344	192	79	inf	inf	NOUN
ejpam-5344	192	80	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	PROPN
ejpam-5344	192	81	)	)	PUNCT
ejpam-5344	192	82	γ̄a(v	γ̄a(v	PROPN
ejpam-5344	192	83	)	)	PUNCT
ejpam-5344	192	84	,	,	PUNCT
ejpam-5344	192	85	γ̄a(z	γ̄a(z	NOUN
ejpam-5344	192	86	)	)	PUNCT
ejpam-5344	192	87	}	}	PUNCT
ejpam-5344	192	88	.	.	PUNCT
ejpam-5344	193	1	hence	hence	ADV
ejpam-5344	193	2	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	193	3	)	)	PUNCT
ejpam-5344	193	4	is	be	AUX
ejpam-5344	193	5	a	a	DET
ejpam-5344	193	6	fuzzy	fuzzy	ADJ
ejpam-5344	193	7	implicative	implicative	ADJ
ejpam-5344	193	8	hyper	hyper	ADJ
ejpam-5344	193	9	gr	gr	NOUN
ejpam-5344	193	10	-	-	PUNCT
ejpam-5344	193	11	ideal	ideal	NOUN
ejpam-5344	193	12	of	of	ADP
ejpam-5344	193	13	type	type	NOUN
ejpam-5344	193	14	1	1	NUM
ejpam-5344	193	15	in	in	ADP
ejpam-5344	193	16	h.	h.	NOUN
ejpam-5344	193	17	conversely	conversely	ADV
ejpam-5344	193	18	,	,	PUNCT
ejpam-5344	193	19	suppose	suppose	VERB
ejpam-5344	193	20	that	that	SCONJ
ejpam-5344	193	21	µa	µa	NOUN
ejpam-5344	193	22	and	and	CCONJ
ejpam-5344	193	23	γ̄a	γ̄a	PROPN
ejpam-5344	193	24	are	be	AUX
ejpam-5344	193	25	fuzzy	fuzzy	ADJ
ejpam-5344	193	26	implicative	implicative	ADJ
ejpam-5344	193	27	hyper	hyper	ADJ
ejpam-5344	193	28	gr	gr	NOUN
ejpam-5344	193	29	-	-	PUNCT
ejpam-5344	193	30	ideals	ideal	NOUN
ejpam-5344	193	31	of	of	ADP
ejpam-5344	193	32	type	type	NOUN
ejpam-5344	193	33	1	1	NUM
ejpam-5344	193	34	in	in	ADP
ejpam-5344	193	35	h.	h.	PROPN
ejpam-5344	193	36	let	let	VERB
ejpam-5344	193	37	x	x	PRON
ejpam-5344	193	38	,	,	PUNCT
ejpam-5344	193	39	y	y	PROPN
ejpam-5344	193	40	,	,	PUNCT
ejpam-5344	193	41	z	z	PROPN
ejpam-5344	193	42	∈	∈	PROPN
ejpam-5344	193	43	h.	h.	NOUN
ejpam-5344	193	44	by	by	ADP
ejpam-5344	193	45	fim1	fim1	PROPN
ejpam-5344	193	46	,	,	PUNCT
ejpam-5344	193	47	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	193	48	)	)	PUNCT
ejpam-5344	193	49	≤	≤	NOUN
ejpam-5344	193	50	γ̄a(0	γ̄a(0	NUM
ejpam-5344	193	51	)	)	PUNCT
ejpam-5344	193	52	and	and	CCONJ
ejpam-5344	193	53	γa(x	γa(x	NUM
ejpam-5344	193	54	)	)	PUNCT
ejpam-5344	193	55	=	=	SYM
ejpam-5344	193	56	1−	1−	NUM
ejpam-5344	193	57	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	193	58	)	)	PUNCT
ejpam-5344	193	59	≥	≥	NOUN
ejpam-5344	193	60	1−	1−	NUM
ejpam-5344	193	61	γ̄a(0	γ̄a(0	NUM
ejpam-5344	193	62	)	)	PUNCT
ejpam-5344	193	63	=	=	SYM
ejpam-5344	193	64	γa(0	γa(0	NOUN
ejpam-5344	193	65	)	)	PUNCT
ejpam-5344	193	66	.	.	PUNCT
ejpam-5344	194	1	by	by	ADP
ejpam-5344	194	2	corollary	corollary	ADJ
ejpam-5344	194	3	1(b	1(b	NUM
ejpam-5344	194	4	)	)	PUNCT
ejpam-5344	194	5	and	and	CCONJ
ejpam-5344	194	6	lemma	lemma	PROPN
ejpam-5344	194	7	1(b	1(b	NUM
ejpam-5344	194	8	)	)	PUNCT
ejpam-5344	194	9	,	,	PUNCT
ejpam-5344	194	10	γa(x	γa(x	NUM
ejpam-5344	194	11	)	)	PUNCT
ejpam-5344	194	12	=	=	SYM
ejpam-5344	194	13	1−	1−	NUM
ejpam-5344	194	14	γ̄a(x	γ̄a(x	NOUN
ejpam-5344	194	15	)	)	PUNCT
ejpam-5344	194	16	≤	≤	NUM
ejpam-5344	194	17	1−min	1−min	PROPN
ejpam-5344	194	18	{	{	PUNCT
ejpam-5344	194	19	inf	inf	NOUN
ejpam-5344	194	20	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NOUN
ejpam-5344	194	21	)	)	PUNCT
ejpam-5344	194	22	γ̄a(v	γ̄a(v	PROPN
ejpam-5344	194	23	)	)	PUNCT
ejpam-5344	194	24	,	,	PUNCT
ejpam-5344	194	25	γ̄a(z	γ̄a(z	NOUN
ejpam-5344	194	26	)	)	PUNCT
ejpam-5344	194	27	}	}	PUNCT
ejpam-5344	194	28	=	=	SYM
ejpam-5344	194	29	max	max	PROPN
ejpam-5344	194	30	{	{	PUNCT
ejpam-5344	194	31	1−	1−	NUM
ejpam-5344	194	32	inf	inf	PROPN
ejpam-5344	194	33	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NOUN
ejpam-5344	194	34	)	)	PUNCT
ejpam-5344	194	35	γ̄a(v	γ̄a(v	PROPN
ejpam-5344	194	36	)	)	PUNCT
ejpam-5344	194	37	,	,	PUNCT
ejpam-5344	194	38	1−	1−	NUM
ejpam-5344	194	39	γ̄a(z	γ̄a(z	NOUN
ejpam-5344	194	40	)	)	PUNCT
ejpam-5344	194	41	}	}	PUNCT
ejpam-5344	194	42	=	=	SYM
ejpam-5344	194	43	max	max	PROPN
ejpam-5344	194	44	{	{	PUNCT
ejpam-5344	194	45	sup	sup	NOUN
ejpam-5344	194	46	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	194	47	)	)	PUNCT
ejpam-5344	194	48	(	(	PUNCT
ejpam-5344	194	49	1−	1−	NUM
ejpam-5344	194	50	γ̄a(v	γ̄a(v	PROPN
ejpam-5344	194	51	)	)	PUNCT
ejpam-5344	194	52	)	)	PUNCT
ejpam-5344	194	53	,	,	PUNCT
ejpam-5344	194	54	γa(z	γa(z	PROPN
ejpam-5344	194	55	)	)	PUNCT
ejpam-5344	194	56	}	}	PUNCT
ejpam-5344	194	57	=	=	SYM
ejpam-5344	194	58	max	max	X
ejpam-5344	194	59	{	{	PUNCT
ejpam-5344	194	60	sup	sup	NOUN
ejpam-5344	194	61	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	194	62	)	)	PUNCT
ejpam-5344	194	63	γa(v	γa(v	PUNCT
ejpam-5344	194	64	)	)	PUNCT
ejpam-5344	194	65	,	,	PUNCT
ejpam-5344	194	66	γa(z	γa(z	PROPN
ejpam-5344	194	67	)	)	PUNCT
ejpam-5344	194	68	}	}	PUNCT
ejpam-5344	194	69	.	.	PUNCT
ejpam-5344	195	1	thus	thus	ADV
ejpam-5344	195	2	,	,	PUNCT
ejpam-5344	195	3	γa(x	γa(x	NOUN
ejpam-5344	195	4	)	)	PUNCT
ejpam-5344	195	5	≤	≤	NUM
ejpam-5344	195	6	max	max	PROPN
ejpam-5344	195	7	{	{	PUNCT
ejpam-5344	195	8	sup	sup	NOUN
ejpam-5344	195	9	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	195	10	)	)	PUNCT
ejpam-5344	195	11	γa(v	γa(v	PUNCT
ejpam-5344	195	12	)	)	PUNCT
ejpam-5344	195	13	,	,	PUNCT
ejpam-5344	195	14	γa(z	γa(z	PROPN
ejpam-5344	195	15	)	)	PUNCT
ejpam-5344	195	16	}	}	PUNCT
ejpam-5344	195	17	.	.	PUNCT
ejpam-5344	196	1	a.	a.	NOUN
ejpam-5344	196	2	macodi	macodi	PROPN
ejpam-5344	196	3	,	,	PUNCT
ejpam-5344	196	4	a.	a.	NOUN
ejpam-5344	196	5	dorig	dorig	PROPN
ejpam-5344	196	6	/	/	SYM
ejpam-5344	196	7	eur	eur	PROPN
ejpam-5344	196	8	.	.	PUNCT
ejpam-5344	197	1	j.	j.	PROPN
ejpam-5344	197	2	pure	pure	PROPN
ejpam-5344	197	3	appl	appl	PROPN
ejpam-5344	197	4	.	.	PROPN
ejpam-5344	197	5	math	math	PROPN
ejpam-5344	197	6	,	,	PUNCT
ejpam-5344	197	7	17	17	NUM
ejpam-5344	197	8	(	(	PUNCT
ejpam-5344	197	9	3	3	NUM
ejpam-5344	197	10	)	)	PUNCT
ejpam-5344	197	11	(	(	PUNCT
ejpam-5344	197	12	2024	2024	NUM
ejpam-5344	197	13	)	)	PUNCT
ejpam-5344	197	14	,	,	PUNCT
ejpam-5344	197	15	2221	2221	NUM
ejpam-5344	197	16	-	-	SYM
ejpam-5344	197	17	2234	2234	NUM
ejpam-5344	197	18	2232	2232	NUM
ejpam-5344	197	19	hence	hence	ADV
ejpam-5344	197	20	,	,	PUNCT
ejpam-5344	197	21	the	the	DET
ejpam-5344	197	22	fuzzy	fuzzy	ADJ
ejpam-5344	197	23	set	set	VERB
ejpam-5344	197	24	a	a	PRON
ejpam-5344	197	25	=	=	X
ejpam-5344	197	26	(	(	PUNCT
ejpam-5344	197	27	µa	µa	INTJ
ejpam-5344	197	28	,	,	PUNCT
ejpam-5344	197	29	γa	γa	PROPN
ejpam-5344	197	30	)	)	PUNCT
ejpam-5344	197	31	is	be	AUX
ejpam-5344	197	32	an	an	DET
ejpam-5344	197	33	intuitionistic	intuitionistic	ADJ
ejpam-5344	197	34	fuzzy	fuzzy	ADJ
ejpam-5344	197	35	implicative	implicative	ADJ
ejpam-5344	197	36	hyper	hyper	ADJ
ejpam-5344	197	37	gr	gr	NOUN
ejpam-5344	197	38	-	-	PUNCT
ejpam-5344	197	39	ideal	ideal	NOUN
ejpam-5344	197	40	of	of	ADP
ejpam-5344	197	41	a	a	DET
ejpam-5344	197	42	hyper	hyper	ADJ
ejpam-5344	197	43	gr	gr	NOUN
ejpam-5344	197	44	-	-	PUNCT
ejpam-5344	197	45	algebra	algebra	NOUN
ejpam-5344	197	46	h.	h.	NOUN
ejpam-5344	197	47	the	the	DET
ejpam-5344	197	48	following	follow	VERB
ejpam-5344	197	49	results	result	NOUN
ejpam-5344	197	50	establish	establish	VERB
ejpam-5344	197	51	some	some	DET
ejpam-5344	197	52	characterization	characterization	NOUN
ejpam-5344	197	53	and	and	CCONJ
ejpam-5344	197	54	properties	property	NOUN
ejpam-5344	197	55	of	of	ADP
ejpam-5344	197	56	intuitionistic	intuitionistic	ADJ
ejpam-5344	197	57	fuzzy	fuzzy	ADJ
ejpam-5344	197	58	implicative	implicative	ADJ
ejpam-5344	197	59	hyper	hyper	ADJ
ejpam-5344	197	60	gr	gr	NOUN
ejpam-5344	197	61	-	-	PUNCT
ejpam-5344	197	62	ideal	ideal	NOUN
ejpam-5344	197	63	of	of	ADP
ejpam-5344	197	64	hyper	hyper	ADJ
ejpam-5344	197	65	gr	gr	NOUN
ejpam-5344	197	66	-	-	PUNCT
ejpam-5344	197	67	algebra	algebra	NOUN
ejpam-5344	197	68	.	.	PUNCT
ejpam-5344	198	1	theorem	theorem	NOUN
ejpam-5344	198	2	5	5	NUM
ejpam-5344	198	3	.	.	PUNCT
ejpam-5344	199	1	let	let	VERB
ejpam-5344	199	2	a	a	PRON
ejpam-5344	199	3	=	=	X
ejpam-5344	199	4	(	(	PUNCT
ejpam-5344	199	5	µa	µa	INTJ
ejpam-5344	199	6	,	,	PUNCT
ejpam-5344	199	7	γa	γa	PROPN
ejpam-5344	199	8	)	)	PUNCT
ejpam-5344	199	9	be	be	VERB
ejpam-5344	199	10	an	an	DET
ejpam-5344	199	11	intuitionistic	intuitionistic	ADJ
ejpam-5344	199	12	fuzzy	fuzzy	ADJ
ejpam-5344	199	13	set	set	NOUN
ejpam-5344	199	14	in	in	ADP
ejpam-5344	199	15	a	a	DET
ejpam-5344	199	16	hyper	hyper	ADJ
ejpam-5344	199	17	gr	gr	NOUN
ejpam-5344	199	18	-	-	PUNCT
ejpam-5344	199	19	algebra	algebra	NOUN
ejpam-5344	199	20	h.	h.	NOUN
ejpam-5344	199	21	then	then	ADV
ejpam-5344	199	22	,	,	PUNCT
ejpam-5344	199	23	a	a	PRON
ejpam-5344	199	24	is	be	AUX
ejpam-5344	199	25	an	an	DET
ejpam-5344	199	26	intuitionistic	intuitionistic	ADJ
ejpam-5344	199	27	fuzzy	fuzzy	ADJ
ejpam-5344	199	28	implicative	implicative	ADJ
ejpam-5344	199	29	hyper	hyper	ADJ
ejpam-5344	199	30	gr	gr	NOUN
ejpam-5344	199	31	-	-	PUNCT
ejpam-5344	199	32	ideal	ideal	NOUN
ejpam-5344	199	33	in	in	ADP
ejpam-5344	199	34	h	h	NOUN
ejpam-5344	199	35	if	if	SCONJ
ejpam-5344	200	1	and	and	CCONJ
ejpam-5344	200	2	only	only	ADV
ejpam-5344	200	3	if	if	SCONJ
ejpam-5344	200	4	â	â	X
ejpam-5344	200	5	=	=	SYM
ejpam-5344	200	6	(	(	PUNCT
ejpam-5344	200	7	µa	µa	INTJ
ejpam-5344	200	8	,	,	PUNCT
ejpam-5344	200	9	µ̄a	µ̄a	PROPN
ejpam-5344	200	10	)	)	PUNCT
ejpam-5344	200	11	and	and	CCONJ
ejpam-5344	200	12	ă	ă	NOUN
ejpam-5344	200	13	=	=	SYM
ejpam-5344	200	14	(	(	PUNCT
ejpam-5344	200	15	γ̄a	γ̄a	PROPN
ejpam-5344	200	16	,	,	PUNCT
ejpam-5344	200	17	γa	γa	PROPN
ejpam-5344	200	18	)	)	PUNCT
ejpam-5344	200	19	are	be	AUX
ejpam-5344	200	20	intuitionistic	intuitionistic	ADJ
ejpam-5344	200	21	fuzzy	fuzzy	ADJ
ejpam-5344	200	22	implicative	implicative	ADJ
ejpam-5344	200	23	hyper	hyper	ADJ
ejpam-5344	200	24	gr	gr	NOUN
ejpam-5344	200	25	-	-	PUNCT
ejpam-5344	200	26	ideals	ideal	NOUN
ejpam-5344	200	27	of	of	ADP
ejpam-5344	200	28	h.	h.	NOUN
ejpam-5344	200	29	proof	proof	NOUN
ejpam-5344	200	30	:	:	PUNCT
ejpam-5344	200	31	suppose	suppose	VERB
ejpam-5344	200	32	that	that	SCONJ
ejpam-5344	200	33	a	a	PRON
ejpam-5344	200	34	=	=	X
ejpam-5344	200	35	(	(	PUNCT
ejpam-5344	200	36	µa	µa	INTJ
ejpam-5344	200	37	,	,	PUNCT
ejpam-5344	200	38	γa	γa	PROPN
ejpam-5344	200	39	)	)	PUNCT
ejpam-5344	200	40	is	be	AUX
ejpam-5344	200	41	an	an	DET
ejpam-5344	200	42	intuitionistic	intuitionistic	ADJ
ejpam-5344	200	43	fuzzy	fuzzy	ADJ
ejpam-5344	200	44	implicative	implicative	ADJ
ejpam-5344	200	45	hyper	hyper	ADJ
ejpam-5344	200	46	gr	gr	NOUN
ejpam-5344	200	47	-	-	PUNCT
ejpam-5344	200	48	ideal	ideal	NOUN
ejpam-5344	200	49	of	of	ADP
ejpam-5344	200	50	h.	h.	PROPN
ejpam-5344	200	51	by	by	ADP
ejpam-5344	200	52	lemma	lemma	PROPN
ejpam-5344	200	53	3.1	3.1	NUM
ejpam-5344	200	54	,	,	PUNCT
ejpam-5344	200	55	µa	µa	NOUN
ejpam-5344	200	56	and	and	CCONJ
ejpam-5344	200	57	γ̄a	γ̄a	PROPN
ejpam-5344	200	58	are	be	AUX
ejpam-5344	200	59	fuzzy	fuzzy	ADJ
ejpam-5344	200	60	implicative	implicative	ADJ
ejpam-5344	200	61	hyper	hyper	ADJ
ejpam-5344	200	62	gr	gr	NOUN
ejpam-5344	200	63	-	-	PUNCT
ejpam-5344	200	64	ideals	ideal	NOUN
ejpam-5344	200	65	of	of	ADP
ejpam-5344	200	66	type	type	NOUN
ejpam-5344	200	67	1	1	NUM
ejpam-5344	200	68	in	in	ADP
ejpam-5344	200	69	h.	h.	PROPN
ejpam-5344	200	70	we	we	PRON
ejpam-5344	200	71	are	be	AUX
ejpam-5344	200	72	left	leave	VERB
ejpam-5344	200	73	to	to	PART
ejpam-5344	200	74	show	show	VERB
ejpam-5344	200	75	that	that	SCONJ
ejpam-5344	200	76	µ̄a	µ̄a	NOUN
ejpam-5344	200	77	will	will	AUX
ejpam-5344	200	78	satisfy	satisfy	VERB
ejpam-5344	200	79	ifigr1	ifigr1	PROPN
ejpam-5344	200	80	and	and	CCONJ
ejpam-5344	200	81	ifigr3	ifigr3	NOUN
ejpam-5344	200	82	.	.	PUNCT
ejpam-5344	201	1	let	let	VERB
ejpam-5344	201	2	x	x	PRON
ejpam-5344	201	3	,	,	PUNCT
ejpam-5344	201	4	y	y	PROPN
ejpam-5344	201	5	,	,	PUNCT
ejpam-5344	201	6	z	z	PROPN
ejpam-5344	201	7	∈	∈	PROPN
ejpam-5344	201	8	h.	h.	NOUN
ejpam-5344	201	9	then	then	ADV
ejpam-5344	201	10	by	by	ADP
ejpam-5344	201	11	fim1	fim1	NOUN
ejpam-5344	201	12	,	,	PUNCT
ejpam-5344	201	13	µa(x	µa(x	ADP
ejpam-5344	201	14	)	)	PUNCT
ejpam-5344	201	15	≤	≤	NUM
ejpam-5344	201	16	µa(0	µa(0	NOUN
ejpam-5344	201	17	)	)	PUNCT
ejpam-5344	201	18	and	and	CCONJ
ejpam-5344	201	19	µ̄a(x	µ̄a(x	PROPN
ejpam-5344	201	20	)	)	PUNCT
ejpam-5344	201	21	=	=	SYM
ejpam-5344	201	22	1−	1−	NUM
ejpam-5344	201	23	µa(x	µa(x	NOUN
ejpam-5344	201	24	)	)	PUNCT
ejpam-5344	201	25	≥	≥	NOUN
ejpam-5344	201	26	1−	1−	NUM
ejpam-5344	201	27	µa(0	µa(0	NOUN
ejpam-5344	201	28	)	)	PUNCT
ejpam-5344	201	29	=	=	PUNCT
ejpam-5344	201	30	µ̄a(0	µ̄a(0	X
ejpam-5344	201	31	)	)	PUNCT
ejpam-5344	201	32	.	.	PUNCT
ejpam-5344	202	1	thus	thus	ADV
ejpam-5344	202	2	,	,	PUNCT
ejpam-5344	202	3	ifigr1	ifigr1	PROPN
ejpam-5344	202	4	is	be	AUX
ejpam-5344	202	5	satisfied	satisfied	ADJ
ejpam-5344	202	6	.	.	PUNCT
ejpam-5344	203	1	by	by	ADP
ejpam-5344	203	2	lemma	lemma	PROPN
ejpam-5344	203	3	1(b	1(b	NUM
ejpam-5344	203	4	)	)	PUNCT
ejpam-5344	203	5	and	and	CCONJ
ejpam-5344	203	6	corollary	corollary	ADJ
ejpam-5344	203	7	1(b	1(b	NUM
ejpam-5344	203	8	)	)	PUNCT
ejpam-5344	203	9	,	,	PUNCT
ejpam-5344	203	10	µ̄a(x	µ̄a(x	PROPN
ejpam-5344	203	11	)	)	PUNCT
ejpam-5344	203	12	=	=	SYM
ejpam-5344	203	13	1−	1−	NUM
ejpam-5344	203	14	µa(x	µa(x	NOUN
ejpam-5344	203	15	)	)	PUNCT
ejpam-5344	203	16	≤	≤	NUM
ejpam-5344	203	17	1−min	1−min	PROPN
ejpam-5344	203	18	{	{	PUNCT
ejpam-5344	203	19	inf	inf	NOUN
ejpam-5344	203	20	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	203	21	)	)	PUNCT
ejpam-5344	203	22	µa(v	µa(v	PUNCT
ejpam-5344	203	23	)	)	PUNCT
ejpam-5344	203	24	,	,	PUNCT
ejpam-5344	203	25	µa(z	µa(z	NUM
ejpam-5344	203	26	)	)	PUNCT
ejpam-5344	203	27	}	}	PUNCT
ejpam-5344	203	28	=	=	SYM
ejpam-5344	203	29	max	max	PROPN
ejpam-5344	203	30	{	{	PUNCT
ejpam-5344	203	31	1−	1−	NUM
ejpam-5344	203	32	inf	inf	PROPN
ejpam-5344	203	33	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	203	34	)	)	PUNCT
ejpam-5344	203	35	µa(v	µa(v	PUNCT
ejpam-5344	203	36	)	)	PUNCT
ejpam-5344	203	37	,	,	PUNCT
ejpam-5344	203	38	1−	1−	NUM
ejpam-5344	203	39	µa(z	µa(z	NUM
ejpam-5344	203	40	)	)	PUNCT
ejpam-5344	203	41	}	}	PUNCT
ejpam-5344	204	1	=	=	SYM
ejpam-5344	204	2	max	max	X
ejpam-5344	204	3	{	{	PUNCT
ejpam-5344	204	4	sup	sup	NOUN
ejpam-5344	204	5	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	204	6	)	)	PUNCT
ejpam-5344	204	7	(	(	PUNCT
ejpam-5344	204	8	1−	1−	NUM
ejpam-5344	204	9	µa(v	µa(v	NUM
ejpam-5344	204	10	)	)	PUNCT
ejpam-5344	204	11	)	)	PUNCT
ejpam-5344	204	12	,	,	PUNCT
ejpam-5344	204	13	1−	1−	NUM
ejpam-5344	204	14	µa(z	µa(z	NUM
ejpam-5344	204	15	)	)	PUNCT
ejpam-5344	204	16	}	}	PUNCT
ejpam-5344	205	1	=	=	SYM
ejpam-5344	205	2	max	max	X
ejpam-5344	205	3	{	{	PUNCT
ejpam-5344	205	4	sup	sup	NOUN
ejpam-5344	205	5	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	205	6	)	)	PUNCT
ejpam-5344	205	7	µ̄a(v	µ̄a(v	PROPN
ejpam-5344	205	8	)	)	PUNCT
ejpam-5344	205	9	,	,	PUNCT
ejpam-5344	205	10	µ̄a(z	µ̄a(z	PROPN
ejpam-5344	205	11	)	)	PUNCT
ejpam-5344	205	12	}	}	PUNCT
ejpam-5344	205	13	.	.	PUNCT
ejpam-5344	205	14	implies	imply	VERB
ejpam-5344	205	15	that	that	SCONJ
ejpam-5344	205	16	µ̄a(x	µ̄a(x	NOUN
ejpam-5344	205	17	)	)	PUNCT
ejpam-5344	205	18	≤	≤	NUM
ejpam-5344	205	19	max	max	NOUN
ejpam-5344	205	20	{	{	PUNCT
ejpam-5344	205	21	sup	sup	NOUN
ejpam-5344	205	22	v∈(x⊛z)⊛(y⊛x	v∈(x⊛z)⊛(y⊛x	NUM
ejpam-5344	205	23	)	)	PUNCT
ejpam-5344	205	24	µ̄a(v	µ̄a(v	PROPN
ejpam-5344	205	25	)	)	PUNCT
ejpam-5344	205	26	,	,	PUNCT
ejpam-5344	205	27	µ̄a(z	µ̄a(z	PROPN
ejpam-5344	205	28	)	)	PUNCT
ejpam-5344	205	29	}	}	PUNCT
ejpam-5344	205	30	.	.	PUNCT
ejpam-5344	206	1	thus	thus	ADV
ejpam-5344	206	2	,	,	PUNCT
ejpam-5344	206	3	ifigr3	ifigr3	PROPN
ejpam-5344	206	4	is	be	AUX
ejpam-5344	206	5	satisfied	satisfied	ADJ
ejpam-5344	206	6	.	.	PUNCT
ejpam-5344	207	1	hence	hence	ADV
ejpam-5344	207	2	,	,	PUNCT
ejpam-5344	207	3	â	â	X
ejpam-5344	207	4	=	=	SYM
ejpam-5344	207	5	(	(	PUNCT
ejpam-5344	207	6	µa	µa	INTJ
ejpam-5344	207	7	,	,	PUNCT
ejpam-5344	207	8	µ̄a	µ̄a	PROPN
ejpam-5344	207	9	)	)	PUNCT
ejpam-5344	207	10	and	and	CCONJ
ejpam-5344	207	11	ă	ă	NOUN
ejpam-5344	207	12	=	=	SYM
ejpam-5344	207	13	(	(	PUNCT
ejpam-5344	207	14	γ̄a	γ̄a	PROPN
ejpam-5344	207	15	,	,	PUNCT
ejpam-5344	207	16	γa	γa	PROPN
ejpam-5344	207	17	)	)	PUNCT
ejpam-5344	207	18	are	be	AUX
ejpam-5344	207	19	intuitionistic	intuitionistic	ADJ
ejpam-5344	207	20	fuzzy	fuzzy	ADJ
ejpam-5344	207	21	implicative	implicative	ADJ
ejpam-5344	207	22	hyper	hyper	ADJ
ejpam-5344	207	23	gr	gr	NOUN
ejpam-5344	207	24	-	-	PUNCT
ejpam-5344	207	25	ideals	ideal	NOUN
ejpam-5344	207	26	of	of	ADP
ejpam-5344	207	27	h.	h.	NOUN
ejpam-5344	207	28	conversely	conversely	ADV
ejpam-5344	207	29	,	,	PUNCT
ejpam-5344	207	30	suppose	suppose	VERB
ejpam-5344	207	31	â	â	X
ejpam-5344	207	32	=	=	SYM
ejpam-5344	207	33	(	(	PUNCT
ejpam-5344	207	34	µa	µa	INTJ
ejpam-5344	207	35	,	,	PUNCT
ejpam-5344	207	36	µ̄a	µ̄a	PROPN
ejpam-5344	207	37	)	)	PUNCT
ejpam-5344	207	38	and	and	CCONJ
ejpam-5344	207	39	ă	ă	NOUN
ejpam-5344	207	40	=	=	SYM
ejpam-5344	207	41	(	(	PUNCT
ejpam-5344	207	42	γ̄a	γ̄a	PROPN
ejpam-5344	207	43	,	,	PUNCT
ejpam-5344	207	44	γa	γa	PROPN
ejpam-5344	207	45	)	)	PUNCT
ejpam-5344	207	46	are	be	AUX
ejpam-5344	207	47	intuitionistic	intuitionistic	ADJ
ejpam-5344	207	48	fuzzy	fuzzy	ADJ
ejpam-5344	207	49	implicative	implicative	ADJ
ejpam-5344	207	50	hyper	hyper	ADJ
ejpam-5344	207	51	gr	gr	NOUN
ejpam-5344	207	52	-	-	PUNCT
ejpam-5344	207	53	ideals	ideal	NOUN
ejpam-5344	207	54	in	in	ADP
ejpam-5344	207	55	h.	h.	PROPN
ejpam-5344	207	56	then	then	ADV
ejpam-5344	207	57	by	by	ADP
ejpam-5344	207	58	lemma	lemma	PROPN
ejpam-5344	207	59	3.1	3.1	NUM
ejpam-5344	207	60	,	,	PUNCT
ejpam-5344	207	61	µa	µa	NOUN
ejpam-5344	207	62	and	and	CCONJ
ejpam-5344	207	63	γ̄a	γ̄a	PROPN
ejpam-5344	207	64	are	be	AUX
ejpam-5344	207	65	fuzzy	fuzzy	ADJ
ejpam-5344	207	66	implicative	implicative	ADJ
ejpam-5344	207	67	hyper	hyper	ADJ
ejpam-5344	207	68	gr	gr	NOUN
ejpam-5344	207	69	-	-	PUNCT
ejpam-5344	207	70	ideals	ideal	NOUN
ejpam-5344	207	71	of	of	ADP
ejpam-5344	207	72	type	type	NOUN
ejpam-5344	207	73	1	1	NUM
ejpam-5344	207	74	in	in	ADP
ejpam-5344	207	75	h	h	NOUN
ejpam-5344	207	76	and	and	CCONJ
ejpam-5344	207	77	a	a	PRON
ejpam-5344	207	78	=	=	X
ejpam-5344	207	79	(	(	PUNCT
ejpam-5344	207	80	µa	µa	INTJ
ejpam-5344	207	81	,	,	PUNCT
ejpam-5344	207	82	γa	γa	PROPN
ejpam-5344	207	83	)	)	PUNCT
ejpam-5344	207	84	is	be	AUX
ejpam-5344	207	85	an	an	DET
ejpam-5344	207	86	intuitionistic	intuitionistic	ADJ
ejpam-5344	207	87	fuzzy	fuzzy	ADJ
ejpam-5344	207	88	implicative	implicative	ADJ
ejpam-5344	207	89	hyper	hyper	ADJ
ejpam-5344	207	90	gr	gr	NOUN
ejpam-5344	207	91	-	-	PUNCT
ejpam-5344	207	92	ideal	ideal	NOUN
ejpam-5344	207	93	of	of	ADP
ejpam-5344	207	94	a	a	DET
ejpam-5344	207	95	hyper	hyper	ADJ
ejpam-5344	207	96	gr	gr	NOUN
ejpam-5344	207	97	-	-	PUNCT
ejpam-5344	207	98	algebra	algebra	NOUN
ejpam-5344	207	99	h.	h.	PROPN
ejpam-5344	207	100	corollary	corollary	NOUN
ejpam-5344	207	101	3.2	3.2	NUM
ejpam-5344	207	102	.	.	PUNCT
ejpam-5344	208	1	for	for	ADP
ejpam-5344	208	2	any	any	DET
ejpam-5344	208	3	subset	subset	NOUN
ejpam-5344	208	4	i	i	PRON
ejpam-5344	208	5	of	of	ADP
ejpam-5344	208	6	a	a	DET
ejpam-5344	208	7	hyper	hyper	ADJ
ejpam-5344	208	8	gr	gr	NOUN
ejpam-5344	208	9	-	-	PUNCT
ejpam-5344	208	10	algebra	algebra	NOUN
ejpam-5344	208	11	h	h	NOUN
ejpam-5344	208	12	,	,	PUNCT
ejpam-5344	208	13	let	let	VERB
ejpam-5344	208	14	a(i	a(i	VERB
ejpam-5344	208	15	)	)	PUNCT
ejpam-5344	209	1	=	=	SYM
ejpam-5344	209	2	(	(	PUNCT
ejpam-5344	209	3	µ	µ	X
ejpam-5344	209	4	a(i	a(i	NOUN
ejpam-5344	209	5	)	)	PUNCT
ejpam-5344	209	6	,	,	PUNCT
ejpam-5344	209	7	γ	γ	X
ejpam-5344	209	8	a(i	a(i	NOUN
ejpam-5344	209	9	)	)	PUNCT
ejpam-5344	209	10	)	)	PUNCT
ejpam-5344	209	11	be	be	AUX
ejpam-5344	209	12	an	an	DET
ejpam-5344	209	13	intuitionistic	intuitionistic	ADJ
ejpam-5344	209	14	fuzzy	fuzzy	ADJ
ejpam-5344	209	15	set	set	NOUN
ejpam-5344	209	16	in	in	ADP
ejpam-5344	209	17	h	h	NOUN
ejpam-5344	209	18	where	where	SCONJ
ejpam-5344	209	19	µ	µ	X
ejpam-5344	209	20	a(i	a(i	NOUN
ejpam-5344	209	21	)	)	PUNCT
ejpam-5344	209	22	(	(	PUNCT
ejpam-5344	209	23	x	x	X
ejpam-5344	209	24	)	)	PUNCT
ejpam-5344	209	25	=	=	SYM
ejpam-5344	209	26	{	{	PUNCT
ejpam-5344	209	27	m1	m1	NOUN
ejpam-5344	209	28	,	,	PUNCT
ejpam-5344	209	29	if	if	SCONJ
ejpam-5344	209	30	x	x	SYM
ejpam-5344	209	31	∈	∈	PROPN
ejpam-5344	209	32	i	i	NOUN
ejpam-5344	209	33	m2	m2	PROPN
ejpam-5344	209	34	,	,	PUNCT
ejpam-5344	209	35	otherwise	otherwise	ADV
ejpam-5344	209	36	references	reference	NOUN
ejpam-5344	209	37	2233	2233	NUM
ejpam-5344	209	38	and	and	CCONJ
ejpam-5344	209	39	γ	γ	NOUN
ejpam-5344	209	40	a(i	a(i	PROPN
ejpam-5344	209	41	)	)	PUNCT
ejpam-5344	209	42	(	(	PUNCT
ejpam-5344	209	43	x	x	X
ejpam-5344	209	44	)	)	PUNCT
ejpam-5344	209	45	=	=	SYM
ejpam-5344	209	46	{	{	PUNCT
ejpam-5344	209	47	n1	n1	NOUN
ejpam-5344	209	48	,	,	PUNCT
ejpam-5344	209	49	if	if	SCONJ
ejpam-5344	209	50	x	x	PROPN
ejpam-5344	209	51	∈	∈	PROPN
ejpam-5344	209	52	i	i	PRON
ejpam-5344	209	53	n2	n2	ADJ
ejpam-5344	209	54	,	,	PUNCT
ejpam-5344	209	55	otherwise	otherwise	ADV
ejpam-5344	209	56	for	for	ADP
ejpam-5344	209	57	all	all	DET
ejpam-5344	209	58	x	x	SYM
ejpam-5344	209	59	∈	∈	PROPN
ejpam-5344	209	60	h	h	NOUN
ejpam-5344	209	61	,	,	PUNCT
ejpam-5344	209	62	where	where	SCONJ
ejpam-5344	209	63	m1,m2	m1,m2	PROPN
ejpam-5344	209	64	,	,	PUNCT
ejpam-5344	209	65	n1	n1	NOUN
ejpam-5344	209	66	,	,	PUNCT
ejpam-5344	209	67	n2	n2	NOUN
ejpam-5344	209	68	∈	∈	PROPN
ejpam-5344	210	1	[	[	X
ejpam-5344	210	2	0	0	NUM
ejpam-5344	210	3	,	,	PUNCT
ejpam-5344	210	4	1	1	NUM
ejpam-5344	210	5	]	]	PUNCT
ejpam-5344	210	6	with	with	ADP
ejpam-5344	210	7	m1	m1	PROPN
ejpam-5344	210	8	>	>	PUNCT
ejpam-5344	210	9	m2	m2	PROPN
ejpam-5344	210	10	and	and	CCONJ
ejpam-5344	210	11	n1	n1	PROPN
ejpam-5344	210	12	<	<	X
ejpam-5344	210	13	n2	n2	PROPN
ejpam-5344	210	14	,	,	PUNCT
ejpam-5344	210	15	mi	mi	PROPN
ejpam-5344	210	16	+	+	CCONJ
ejpam-5344	210	17	ni	ni	PROPN
ejpam-5344	210	18	≤	≤	PROPN
ejpam-5344	210	19	1	1	NUM
ejpam-5344	210	20	for	for	ADP
ejpam-5344	210	21	i	i	PRON
ejpam-5344	210	22	=	=	NOUN
ejpam-5344	210	23	1	1	NUM
ejpam-5344	210	24	,	,	PUNCT
ejpam-5344	210	25	2	2	NUM
ejpam-5344	210	26	.	.	PUNCT
ejpam-5344	211	1	then	then	ADV
ejpam-5344	211	2	i	i	PRON
ejpam-5344	211	3	is	be	AUX
ejpam-5344	211	4	an	an	DET
ejpam-5344	211	5	implicative	implicative	ADJ
ejpam-5344	211	6	hyper	hyper	ADJ
ejpam-5344	211	7	gr	gr	NOUN
ejpam-5344	211	8	-	-	PUNCT
ejpam-5344	211	9	ideal	ideal	NOUN
ejpam-5344	211	10	of	of	ADP
ejpam-5344	211	11	h	h	NOUN
ejpam-5344	211	12	if	if	SCONJ
ejpam-5344	212	1	and	and	CCONJ
ejpam-5344	212	2	only	only	ADV
ejpam-5344	212	3	if	if	SCONJ
ejpam-5344	212	4	a(i	a(i	NOUN
ejpam-5344	212	5	)	)	PUNCT
ejpam-5344	213	1	=	=	SYM
ejpam-5344	213	2	(	(	PUNCT
ejpam-5344	213	3	µ	µ	X
ejpam-5344	213	4	a(i	a(i	NOUN
ejpam-5344	213	5	)	)	PUNCT
ejpam-5344	213	6	,	,	PUNCT
ejpam-5344	213	7	γ	γ	X
ejpam-5344	213	8	a(i	a(i	NOUN
ejpam-5344	213	9	)	)	PUNCT
ejpam-5344	213	10	)	)	PUNCT
ejpam-5344	213	11	is	be	AUX
ejpam-5344	213	12	an	an	DET
ejpam-5344	213	13	intuitionistic	intuitionistic	ADJ
ejpam-5344	213	14	fuzzy	fuzzy	ADJ
ejpam-5344	213	15	implicative	implicative	ADJ
ejpam-5344	213	16	hyper	hyper	ADJ
ejpam-5344	213	17	gr	gr	ADJ
ejpam-5344	213	18	-	-	PUNCT
ejpam-5344	213	19	ideal	ideal	NOUN
ejpam-5344	213	20	h.	h.	NOUN
ejpam-5344	213	21	proof	proof	NOUN
ejpam-5344	213	22	:	:	PUNCT
ejpam-5344	213	23	note	note	VERB
ejpam-5344	213	24	that	that	SCONJ
ejpam-5344	213	25	the	the	DET
ejpam-5344	213	26	level	level	NOUN
ejpam-5344	213	27	subsets	subset	NOUN
ejpam-5344	213	28	of	of	ADP
ejpam-5344	213	29	µa(i	µa(i	NOUN
ejpam-5344	213	30	)	)	PUNCT
ejpam-5344	213	31	is	be	AUX
ejpam-5344	213	32	(	(	PUNCT
ejpam-5344	213	33	µ	µ	X
ejpam-5344	213	34	a(i	a(i	NOUN
ejpam-5344	213	35	)	)	PUNCT
ejpam-5344	213	36	)	)	PUNCT
ejpam-5344	214	1	t1	t1	NOUN
ejpam-5344	214	2	=	=	PUNCT
ejpam-5344	214	3			PUNCT
ejpam-5344	214	4	∅	∅	NOUN
ejpam-5344	214	5	,	,	PUNCT
ejpam-5344	214	6	if	if	SCONJ
ejpam-5344	214	7	m1	m1	PROPN
ejpam-5344	214	8	<	<	X
ejpam-5344	214	9	t1	t1	PROPN
ejpam-5344	214	10	≤	≤	NUM
ejpam-5344	214	11	1	1	NUM
ejpam-5344	215	1	i	i	NOUN
ejpam-5344	215	2	,	,	PUNCT
ejpam-5344	215	3	if	if	SCONJ
ejpam-5344	215	4	m2	m2	PROPN
ejpam-5344	215	5	<	<	X
ejpam-5344	215	6	t1	t1	PROPN
ejpam-5344	215	7	≤	≤	PUNCT
ejpam-5344	215	8	m1	m1	PROPN
ejpam-5344	215	9	h	h	NOUN
ejpam-5344	215	10	,	,	PUNCT
ejpam-5344	215	11	if	if	SCONJ
ejpam-5344	215	12	0	0	NUM
ejpam-5344	215	13	≤	≤	NUM
ejpam-5344	215	14	t1	t1	NOUN
ejpam-5344	215	15	≤	≤	NUM
ejpam-5344	215	16	m2	m2	PROPN
ejpam-5344	215	17	.	.	PUNCT
ejpam-5344	216	1	since	since	SCONJ
ejpam-5344	216	2	γ̄	γ̄	PROPN
ejpam-5344	216	3	a(i	a(i	PROPN
ejpam-5344	216	4	)	)	PUNCT
ejpam-5344	216	5	(	(	PUNCT
ejpam-5344	216	6	x	x	X
ejpam-5344	216	7	)	)	PUNCT
ejpam-5344	216	8	=	=	SYM
ejpam-5344	216	9	{	{	PUNCT
ejpam-5344	216	10	1−	1−	NUM
ejpam-5344	216	11	n1	n1	NOUN
ejpam-5344	216	12	,	,	PUNCT
ejpam-5344	216	13	if	if	SCONJ
ejpam-5344	216	14	x	x	SYM
ejpam-5344	216	15	∈	∈	PROPN
ejpam-5344	216	16	i	i	PRON
ejpam-5344	216	17	1−	1−	NUM
ejpam-5344	216	18	n2	n2	NOUN
ejpam-5344	216	19	,	,	PUNCT
ejpam-5344	216	20	otherwise	otherwise	ADV
ejpam-5344	216	21	.	.	PUNCT
ejpam-5344	217	1	and	and	CCONJ
ejpam-5344	217	2	1−	1−	NUM
ejpam-5344	217	3	n1	n1	NOUN
ejpam-5344	217	4	>	>	X
ejpam-5344	217	5	1−	1−	NUM
ejpam-5344	217	6	n2	n2	NOUN
ejpam-5344	217	7	,	,	PUNCT
ejpam-5344	217	8	(	(	PUNCT
ejpam-5344	217	9	γ̄	γ̄	PROPN
ejpam-5344	217	10	a(i	a(i	PROPN
ejpam-5344	217	11	)	)	PUNCT
ejpam-5344	217	12	)	)	PUNCT
ejpam-5344	217	13	t2	t2	NOUN
ejpam-5344	217	14	=	=	SYM
ejpam-5344	217	15			PUNCT
ejpam-5344	217	16	∅	∅	NOUN
ejpam-5344	217	17	,	,	PUNCT
ejpam-5344	217	18	if	if	SCONJ
ejpam-5344	217	19	1−	1−	NUM
ejpam-5344	217	20	n1	n1	NOUN
ejpam-5344	217	21	<	<	X
ejpam-5344	217	22	t2	t2	PROPN
ejpam-5344	217	23	≤	≤	NUM
ejpam-5344	217	24	1	1	NUM
ejpam-5344	218	1	i	i	NOUN
ejpam-5344	218	2	,	,	PUNCT
ejpam-5344	218	3	if	if	SCONJ
ejpam-5344	218	4	1−	1−	NUM
ejpam-5344	218	5	n2	n2	NOUN
ejpam-5344	218	6	<	<	X
ejpam-5344	218	7	t2	t2	PROPN
ejpam-5344	218	8	≤	≤	X
ejpam-5344	218	9	1−	1−	NUM
ejpam-5344	218	10	n1	n1	ADJ
ejpam-5344	218	11	h	h	NOUN
ejpam-5344	218	12	,	,	PUNCT
ejpam-5344	218	13	if	if	SCONJ
ejpam-5344	218	14	0	0	NUM
ejpam-5344	218	15	≤	≤	NUM
ejpam-5344	218	16	t2	t2	NOUN
ejpam-5344	218	17	≤	≤	NOUN
ejpam-5344	218	18	1−	1−	NUM
ejpam-5344	218	19	n2	n2	NOUN
ejpam-5344	218	20	.	.	PUNCT
ejpam-5344	219	1	let	let	VERB
ejpam-5344	219	2	i	i	PRON
ejpam-5344	219	3	be	be	AUX
ejpam-5344	219	4	an	an	DET
ejpam-5344	219	5	implicative	implicative	ADJ
ejpam-5344	219	6	hyper	hyper	ADJ
ejpam-5344	219	7	gr	gr	NOUN
ejpam-5344	219	8	-	-	PUNCT
ejpam-5344	219	9	ideal	ideal	NOUN
ejpam-5344	219	10	of	of	ADP
ejpam-5344	219	11	h.	h.	PROPN
ejpam-5344	219	12	then	then	ADV
ejpam-5344	219	13	the	the	DET
ejpam-5344	219	14	nonempty	nonempty	ADJ
ejpam-5344	219	15	level	level	NOUN
ejpam-5344	219	16	subsets	subset	NOUN
ejpam-5344	219	17	(	(	PUNCT
ejpam-5344	219	18	µ	µ	X
ejpam-5344	219	19	a(i	a(i	NOUN
ejpam-5344	219	20	)	)	PUNCT
ejpam-5344	219	21	)	)	PUNCT
ejpam-5344	220	1	t1	t1	NOUN
ejpam-5344	220	2	and	and	CCONJ
ejpam-5344	220	3	(	(	PUNCT
ejpam-5344	220	4	γ̄	γ̄	PROPN
ejpam-5344	220	5	a(i	a(i	PROPN
ejpam-5344	220	6	)	)	PUNCT
ejpam-5344	220	7	)	)	PUNCT
ejpam-5344	221	1	t2	t2	NOUN
ejpam-5344	221	2	are	be	AUX
ejpam-5344	221	3	impllicative	impllicative	ADJ
ejpam-5344	221	4	hyper	hyper	ADJ
ejpam-5344	221	5	gr	gr	NOUN
ejpam-5344	221	6	-	-	PUNCT
ejpam-5344	221	7	ideals	ideal	NOUN
ejpam-5344	221	8	of	of	ADP
ejpam-5344	221	9	h.	h.	NOUN
ejpam-5344	221	10	by	by	ADP
ejpam-5344	221	11	theorem	theorem	NOUN
ejpam-5344	221	12	1	1	NUM
ejpam-5344	221	13	,	,	PUNCT
ejpam-5344	221	14	µ	µ	X
ejpam-5344	221	15	a(i	a(i	NOUN
ejpam-5344	221	16	)	)	PUNCT
ejpam-5344	221	17	and	and	CCONJ
ejpam-5344	221	18	γ̄	γ̄	PROPN
ejpam-5344	221	19	a(i	a(i	PROPN
ejpam-5344	221	20	)	)	PUNCT
ejpam-5344	221	21	are	be	AUX
ejpam-5344	221	22	fuzzy	fuzzy	ADJ
ejpam-5344	221	23	implicative	implicative	ADJ
ejpam-5344	221	24	ideals	ideal	NOUN
ejpam-5344	221	25	of	of	ADP
ejpam-5344	221	26	type	type	NOUN
ejpam-5344	221	27	1	1	NUM
ejpam-5344	221	28	in	in	ADP
ejpam-5344	221	29	h.	h.	PROPN
ejpam-5344	221	30	by	by	ADP
ejpam-5344	221	31	lemma	lemma	PROPN
ejpam-5344	221	32	3.1	3.1	NUM
ejpam-5344	221	33	,	,	PUNCT
ejpam-5344	221	34	a(i	a(i	NOUN
ejpam-5344	221	35	)	)	PUNCT
ejpam-5344	221	36	=	=	SYM
ejpam-5344	221	37	(	(	PUNCT
ejpam-5344	221	38	µ	µ	X
ejpam-5344	221	39	a(i	a(i	NOUN
ejpam-5344	221	40	)	)	PUNCT
ejpam-5344	221	41	,	,	PUNCT
ejpam-5344	221	42	γ	γ	X
ejpam-5344	221	43	a(i	a(i	NOUN
ejpam-5344	221	44	)	)	PUNCT
ejpam-5344	221	45	)	)	PUNCT
ejpam-5344	221	46	is	be	AUX
ejpam-5344	221	47	an	an	DET
ejpam-5344	221	48	intuitionistic	intuitionistic	ADJ
ejpam-5344	221	49	fuzzy	fuzzy	ADJ
ejpam-5344	221	50	implicative	implicative	ADJ
ejpam-5344	221	51	hyper	hyper	ADJ
ejpam-5344	221	52	gr	gr	NOUN
ejpam-5344	221	53	-	-	PUNCT
ejpam-5344	221	54	ideal	ideal	NOUN
ejpam-5344	221	55	of	of	ADP
ejpam-5344	221	56	h.	h.	NOUN
ejpam-5344	221	57	conversely	conversely	ADV
ejpam-5344	221	58	,	,	PUNCT
ejpam-5344	221	59	suppose	suppose	VERB
ejpam-5344	221	60	a(i	a(i	VERB
ejpam-5344	221	61	)	)	PUNCT
ejpam-5344	221	62	=	=	SYM
ejpam-5344	221	63	(	(	PUNCT
ejpam-5344	221	64	µ	µ	X
ejpam-5344	221	65	a(i	a(i	NOUN
ejpam-5344	221	66	)	)	PUNCT
ejpam-5344	221	67	,	,	PUNCT
ejpam-5344	221	68	γ	γ	X
ejpam-5344	221	69	a(i	a(i	NOUN
ejpam-5344	221	70	)	)	PUNCT
ejpam-5344	221	71	)	)	PUNCT
ejpam-5344	222	1	is	be	AUX
ejpam-5344	222	2	an	an	DET
ejpam-5344	222	3	intuitionistic	intuitionistic	ADJ
ejpam-5344	222	4	fuzzy	fuzzy	ADJ
ejpam-5344	222	5	implicative	implicative	ADJ
ejpam-5344	222	6	hyper	hyper	ADJ
ejpam-5344	222	7	gr	gr	NOUN
ejpam-5344	222	8	-	-	PUNCT
ejpam-5344	222	9	ideal	ideal	NOUN
ejpam-5344	222	10	of	of	ADP
ejpam-5344	222	11	h.	h.	PROPN
ejpam-5344	222	12	by	by	ADP
ejpam-5344	222	13	lemma	lemma	PROPN
ejpam-5344	222	14	3.1	3.1	NUM
ejpam-5344	222	15	,	,	PUNCT
ejpam-5344	222	16	µ	µ	X
ejpam-5344	222	17	a(i	a(i	NOUN
ejpam-5344	222	18	)	)	PUNCT
ejpam-5344	222	19	and	and	CCONJ
ejpam-5344	222	20	γ̄	γ̄	PROPN
ejpam-5344	222	21	a(i	a(i	PROPN
ejpam-5344	222	22	)	)	PUNCT
ejpam-5344	222	23	are	be	AUX
ejpam-5344	222	24	fuzzy	fuzzy	ADJ
ejpam-5344	222	25	implicative	implicative	ADJ
ejpam-5344	222	26	ideals	ideal	NOUN
ejpam-5344	222	27	of	of	ADP
ejpam-5344	222	28	h.	h.	PROPN
ejpam-5344	222	29	consequently	consequently	ADV
ejpam-5344	222	30	by	by	ADP
ejpam-5344	222	31	theorem	theorem	NOUN
ejpam-5344	222	32	1	1	NUM
ejpam-5344	222	33	,	,	PUNCT
ejpam-5344	222	34	i	i	PRON
ejpam-5344	222	35	=	=	PUNCT
ejpam-5344	222	36	(	(	PUNCT
ejpam-5344	222	37	µ	µ	X
ejpam-5344	222	38	a(i	a(i	NOUN
ejpam-5344	222	39	)	)	PUNCT
ejpam-5344	222	40	)	)	PUNCT
ejpam-5344	223	1	t1	t1	NOUN
ejpam-5344	223	2	is	be	AUX
ejpam-5344	223	3	an	an	DET
ejpam-5344	223	4	implicative	implicative	ADJ
ejpam-5344	223	5	hyper	hyper	ADJ
ejpam-5344	223	6	gr	gr	NOUN
ejpam-5344	223	7	-	-	PUNCT
ejpam-5344	223	8	ideal	ideal	NOUN
ejpam-5344	223	9	of	of	ADP
ejpam-5344	223	10	h.	h.	PROPN
ejpam-5344	223	11	references	reference	NOUN
ejpam-5344	223	12	[	[	X
ejpam-5344	223	13	1	1	NUM
ejpam-5344	223	14	]	]	PUNCT
ejpam-5344	223	15	k	k	PROPN
ejpam-5344	223	16	atanassov	atanassov	PROPN
ejpam-5344	223	17	.	.	PUNCT
ejpam-5344	224	1	intuitionistic	intuitionistic	ADJ
ejpam-5344	224	2	fuzzy	fuzzy	ADJ
ejpam-5344	224	3	sets	set	NOUN
ejpam-5344	224	4	.	.	PUNCT
ejpam-5344	225	1	fuzzy	fuzzy	ADJ
ejpam-5344	225	2	sets	set	NOUN
ejpam-5344	225	3	and	and	CCONJ
ejpam-5344	225	4	systems	system	NOUN
ejpam-5344	225	5	,	,	PUNCT
ejpam-5344	225	6	20:87–96	20:87–96	NUM
ejpam-5344	225	7	,	,	PUNCT
ejpam-5344	225	8	1986	1986	NUM
ejpam-5344	225	9	.	.	PUNCT
ejpam-5344	226	1	[	[	X
ejpam-5344	226	2	2	2	NUM
ejpam-5344	226	3	]	]	X
ejpam-5344	226	4	r	r	NOUN
ejpam-5344	226	5	borzooei	borzooei	NOUN
ejpam-5344	226	6	and	and	CCONJ
ejpam-5344	226	7	m	m	PROPN
ejpam-5344	226	8	bakhsi	bakhsi	NOUN
ejpam-5344	226	9	.	.	PUNCT
ejpam-5344	227	1	(	(	PUNCT
ejpam-5344	227	2	weak	weak	ADJ
ejpam-5344	227	3	)	)	PUNCT
ejpam-5344	227	4	implicative	implicative	ADJ
ejpam-5344	227	5	hyper	hyper	ADJ
ejpam-5344	227	6	bck	bck	NOUN
ejpam-5344	227	7	-	-	PUNCT
ejpam-5344	227	8	ideals	ideal	NOUN
ejpam-5344	227	9	.	.	PUNCT
ejpam-5344	228	1	quasigroups	quasigroup	NOUN
ejpam-5344	228	2	and	and	CCONJ
ejpam-5344	228	3	related	related	ADJ
ejpam-5344	228	4	systems	system	NOUN
ejpam-5344	228	5	,	,	PUNCT
ejpam-5344	228	6	12:13–28	12:13–28	NUM
ejpam-5344	228	7	,	,	PUNCT
ejpam-5344	228	8	2004	2004	NUM
ejpam-5344	228	9	.	.	PUNCT
ejpam-5344	229	1	[	[	X
ejpam-5344	229	2	3	3	NUM
ejpam-5344	229	3	]	]	X
ejpam-5344	229	4	r	r	NOUN
ejpam-5344	229	5	borzooei	borzooei	PROPN
ejpam-5344	229	6	and	and	CCONJ
ejpam-5344	229	7	y	y	PROPN
ejpam-5344	229	8	jun	jun	PROPN
ejpam-5344	229	9	.	.	PROPN
ejpam-5344	230	1	intuitionistic	intuitionistic	ADJ
ejpam-5344	230	2	fuzzy	fuzzy	ADJ
ejpam-5344	230	3	hyper	hyper	ADJ
ejpam-5344	230	4	bck	bck	NOUN
ejpam-5344	230	5	-	-	PUNCT
ejpam-5344	230	6	ideals	ideal	NOUN
ejpam-5344	230	7	of	of	ADP
ejpam-5344	230	8	hyper	hyper	ADJ
ejpam-5344	230	9	bck	bck	NOUN
ejpam-5344	230	10	-	-	PUNCT
ejpam-5344	230	11	algebras	algebras	PROPN
ejpam-5344	230	12	.	.	PUNCT
ejpam-5344	231	1	iranian	iranian	PROPN
ejpam-5344	231	2	journal	journal	PROPN
ejpam-5344	231	3	of	of	ADP
ejpam-5344	231	4	fuzzy	fuzzy	ADJ
ejpam-5344	231	5	systems	system	NOUN
ejpam-5344	231	6	,	,	PUNCT
ejpam-5344	231	7	1(1):61–73	1(1):61–73	NUM
ejpam-5344	231	8	,	,	PUNCT
ejpam-5344	231	9	2004	2004	NUM
ejpam-5344	231	10	.	.	PUNCT
ejpam-5344	232	1	[	[	X
ejpam-5344	232	2	4	4	X
ejpam-5344	232	3	]	]	X
ejpam-5344	232	4	i	i	PRON
ejpam-5344	232	5	deli	deli	VERB
ejpam-5344	232	6	and	and	CCONJ
ejpam-5344	232	7	n	n	PRON
ejpam-5344	232	8	cagman	cagman	NOUN
ejpam-5344	232	9	.	.	PUNCT
ejpam-5344	233	1	intuitionistic	intuitionistic	ADJ
ejpam-5344	233	2	fuzzy	fuzzy	ADJ
ejpam-5344	233	3	parametered	parametere	VERB
ejpam-5344	233	4	soft	soft	ADJ
ejpam-5344	233	5	set	set	NOUN
ejpam-5344	233	6	theory	theory	NOUN
ejpam-5344	233	7	and	and	CCONJ
ejpam-5344	233	8	its	its	PRON
ejpam-5344	233	9	decision	decision	NOUN
ejpam-5344	233	10	making	making	NOUN
ejpam-5344	233	11	.	.	PUNCT
ejpam-5344	234	1	applied	apply	VERB
ejpam-5344	234	2	soft	soft	ADJ
ejpam-5344	234	3	computing	computing	NOUN
ejpam-5344	234	4	,	,	PUNCT
ejpam-5344	234	5	28:109–113	28:109–113	NUM
ejpam-5344	234	6	,	,	PUNCT
ejpam-5344	234	7	2015	2015	NUM
ejpam-5344	234	8	.	.	PUNCT
ejpam-5344	235	1	[	[	X
ejpam-5344	235	2	5	5	NUM
ejpam-5344	235	3	]	]	SYM
ejpam-5344	235	4	r	r	NOUN
ejpam-5344	235	5	indangan	indangan	NOUN
ejpam-5344	235	6	and	and	CCONJ
ejpam-5344	235	7	g	g	PROPN
ejpam-5344	235	8	petalcorin	petalcorin	NOUN
ejpam-5344	235	9	.	.	PUNCT
ejpam-5344	236	1	some	some	DET
ejpam-5344	236	2	results	result	NOUN
ejpam-5344	236	3	on	on	ADP
ejpam-5344	236	4	hyper	hyper	ADJ
ejpam-5344	236	5	gr	gr	NOUN
ejpam-5344	236	6	-	-	PUNCT
ejpam-5344	236	7	ideals	ideal	NOUN
ejpam-5344	236	8	of	of	ADP
ejpam-5344	236	9	a	a	DET
ejpam-5344	236	10	hyper	hyper	ADJ
ejpam-5344	236	11	gr	gr	NOUN
ejpam-5344	236	12	-	-	PUNCT
ejpam-5344	236	13	algebra	algebra	NOUN
ejpam-5344	236	14	.	.	PUNCT
ejpam-5344	237	1	journal	journal	NOUN
ejpam-5344	237	2	of	of	ADP
ejpam-5344	237	3	algebra	algebra	PROPN
ejpam-5344	237	4	and	and	CCONJ
ejpam-5344	237	5	applied	apply	VERB
ejpam-5344	237	6	mathematics	mathematic	NOUN
ejpam-5344	237	7	,	,	PUNCT
ejpam-5344	237	8	14:101–119	14:101–119	NUM
ejpam-5344	237	9	,	,	PUNCT
ejpam-5344	237	10	2016	2016	NUM
ejpam-5344	237	11	.	.	PUNCT
ejpam-5344	238	1	references	reference	NOUN
ejpam-5344	238	2	2234	2234	NUM
ejpam-5344	238	3	[	[	X
ejpam-5344	238	4	6	6	NUM
ejpam-5344	238	5	]	]	PUNCT
ejpam-5344	238	6	r	r	NOUN
ejpam-5344	238	7	indangan	indangan	NOUN
ejpam-5344	238	8	,	,	PUNCT
ejpam-5344	238	9	g	g	NOUN
ejpam-5344	238	10	petalcorin	petalcorin	NOUN
ejpam-5344	238	11	,	,	PUNCT
ejpam-5344	238	12	and	and	CCONJ
ejpam-5344	238	13	a	a	DET
ejpam-5344	238	14	villa	villa	NOUN
ejpam-5344	238	15	.	.	PUNCT
ejpam-5344	239	1	some	some	DET
ejpam-5344	239	2	hyper	hyper	ADJ
ejpam-5344	239	3	homomorphic	homomorphic	ADJ
ejpam-5344	239	4	properties	property	NOUN
ejpam-5344	239	5	on	on	ADP
ejpam-5344	239	6	hyper	hyper	ADJ
ejpam-5344	239	7	gr	gr	NOUN
ejpam-5344	239	8	-	-	PUNCT
ejpam-5344	239	9	algebras	algebra	NOUN
ejpam-5344	239	10	.	.	PUNCT
ejpam-5344	239	11	journal	journal	PROPN
ejpam-5344	239	12	of	of	ADP
ejpam-5344	239	13	algebra	algebra	PROPN
ejpam-5344	239	14	and	and	CCONJ
ejpam-5344	239	15	applied	apply	VERB
ejpam-5344	239	16	mathematics	mathematic	NOUN
ejpam-5344	239	17	,	,	PUNCT
ejpam-5344	239	18	15:100–121	15:100–121	PROPN
ejpam-5344	239	19	,	,	PUNCT
ejpam-5344	239	20	2017	2017	NUM
ejpam-5344	239	21	.	.	PUNCT
ejpam-5344	240	1	[	[	X
ejpam-5344	240	2	7	7	X
ejpam-5344	240	3	]	]	X
ejpam-5344	240	4	y	y	PROPN
ejpam-5344	240	5	b	b	PROPN
ejpam-5344	240	6	jun	jun	PROPN
ejpam-5344	240	7	and	and	CCONJ
ejpam-5344	240	8	x	x	SYM
ejpam-5344	240	9	long	long	ADV
ejpam-5344	240	10	.	.	PUNCT
ejpam-5344	241	1	fuzzy	fuzzy	ADJ
ejpam-5344	241	2	hyper	hyper	ADJ
ejpam-5344	241	3	bck	bck	NOUN
ejpam-5344	241	4	-	-	PUNCT
ejpam-5344	241	5	ideals	ideal	NOUN
ejpam-5344	241	6	of	of	ADP
ejpam-5344	241	7	hyper	hyper	ADJ
ejpam-5344	241	8	bck	bck	NOUN
ejpam-5344	241	9	-	-	PUNCT
ejpam-5344	241	10	algebras	algebras	PROPN
ejpam-5344	241	11	.	.	PUNCT
ejpam-5344	242	1	scientiae	scientiae	PROPN
ejpam-5344	242	2	mathematics	mathematics	PROPN
ejpam-5344	242	3	japonicae	japonicae	PROPN
ejpam-5344	242	4	online	online	ADV
ejpam-5344	242	5	,	,	PUNCT
ejpam-5344	242	6	4:415–422	4:415–422	NOUN
ejpam-5344	242	7	,	,	PUNCT
ejpam-5344	242	8	2001	2001	NUM
ejpam-5344	242	9	.	.	PUNCT
ejpam-5344	243	1	[	[	X
ejpam-5344	243	2	8	8	NUM
ejpam-5344	243	3	]	]	X
ejpam-5344	243	4	y	y	PROPN
ejpam-5344	243	5	b	b	PROPN
ejpam-5344	243	6	jun	jun	PROPN
ejpam-5344	243	7	and	and	CCONJ
ejpam-5344	243	8	w	w	NOUN
ejpam-5344	243	9	shim	shim	NOUN
ejpam-5344	243	10	.	.	PUNCT
ejpam-5344	244	1	fuzzy	fuzzy	ADJ
ejpam-5344	244	2	implicative	implicative	ADJ
ejpam-5344	244	3	hyper	hyper	ADJ
ejpam-5344	244	4	bck	bck	NOUN
ejpam-5344	244	5	-	-	PUNCT
ejpam-5344	244	6	ideals	ideal	NOUN
ejpam-5344	244	7	of	of	ADP
ejpam-5344	244	8	hyper	hyper	ADJ
ejpam-5344	244	9	bck	bck	NOUN
ejpam-5344	244	10	-	-	PUNCT
ejpam-5344	244	11	algebras	algebras	PROPN
ejpam-5344	244	12	.	.	PUNCT
ejpam-5344	245	1	international	international	ADJ
ejpam-5344	245	2	journal	journal	PROPN
ejpam-5344	245	3	of	of	ADP
ejpam-5344	245	4	mathematics	mathematics	PROPN
ejpam-5344	245	5	and	and	CCONJ
ejpam-5344	245	6	mathematical	mathematical	ADJ
ejpam-5344	245	7	sciences	sciences	PROPN
ejpam-5344	245	8	,	,	PUNCT
ejpam-5344	245	9	29:63–70	29:63–70	NUM
ejpam-5344	245	10	,	,	PUNCT
ejpam-5344	245	11	2002	2002	NUM
ejpam-5344	245	12	.	.	PUNCT
ejpam-5344	246	1	[	[	X
ejpam-5344	246	2	9	9	NUM
ejpam-5344	246	3	]	]	X
ejpam-5344	246	4	y	y	PROPN
ejpam-5344	246	5	b	b	PROPN
ejpam-5344	246	6	jun	jun	PROPN
ejpam-5344	246	7	and	and	CCONJ
ejpam-5344	246	8	s	s	PROPN
ejpam-5344	246	9	z	z	NOUN
ejpam-5344	246	10	song	song	NOUN
ejpam-5344	246	11	.	.	PUNCT
ejpam-5344	247	1	fuzzy	fuzzy	ADJ
ejpam-5344	247	2	set	set	VERB
ejpam-5344	247	3	theory	theory	NOUN
ejpam-5344	247	4	applied	apply	VERB
ejpam-5344	247	5	to	to	ADP
ejpam-5344	247	6	implicative	implicative	ADJ
ejpam-5344	247	7	ideals	ideal	NOUN
ejpam-5344	247	8	in	in	ADP
ejpam-5344	247	9	bck	bck	NOUN
ejpam-5344	247	10	-	-	PUNCT
ejpam-5344	247	11	algebra	algebra	NOUN
ejpam-5344	247	12	.	.	PUNCT
ejpam-5344	248	1	bull	bull	NOUN
ejpam-5344	248	2	.	.	PUNCT
ejpam-5344	249	1	korean	korean	ADJ
ejpam-5344	249	2	math	math	PROPN
ejpam-5344	249	3	soc	soc	PROPN
ejpam-5344	249	4	.	.	PUNCT
ejpam-5344	249	5	,	,	PUNCT
ejpam-5344	249	6	43:461–470	43:461–470	PROPN
ejpam-5344	249	7	,	,	PUNCT
ejpam-5344	249	8	2006	2006	NUM
ejpam-5344	249	9	.	.	PUNCT
ejpam-5344	250	1	[	[	X
ejpam-5344	250	2	10	10	NUM
ejpam-5344	250	3	]	]	X
ejpam-5344	250	4	a	a	DET
ejpam-5344	250	5	kabiraj	kabiraj	NOUN
ejpam-5344	250	6	,	,	PUNCT
ejpam-5344	250	7	p	p	PROPN
ejpam-5344	250	8	kumar	kumar	PROPN
ejpam-5344	250	9	,	,	PUNCT
ejpam-5344	250	10	and	and	CCONJ
ejpam-5344	250	11	s	s	VERB
ejpam-5344	250	12	raha	raha	NOUN
ejpam-5344	250	13	.	.	PUNCT
ejpam-5344	251	1	solving	solve	VERB
ejpam-5344	251	2	intuitionistic	intuitionistic	ADJ
ejpam-5344	251	3	fuzzy	fuzzy	ADJ
ejpam-5344	251	4	linear	linear	ADJ
ejpam-5344	251	5	programming	programming	NOUN
ejpam-5344	251	6	problem	problem	NOUN
ejpam-5344	251	7	.	.	PUNCT
ejpam-5344	252	1	international	international	ADJ
ejpam-5344	252	2	journal	journal	PROPN
ejpam-5344	252	3	of	of	ADP
ejpam-5344	252	4	intelligence	intelligence	NOUN
ejpam-5344	252	5	science	science	NOUN
ejpam-5344	252	6	,	,	PUNCT
ejpam-5344	252	7	9:44–58	9:44–58	NUM
ejpam-5344	252	8	,	,	PUNCT
ejpam-5344	252	9	2019	2019	NUM
ejpam-5344	252	10	.	.	PUNCT
ejpam-5344	253	1	[	[	X
ejpam-5344	253	2	11	11	NUM
ejpam-5344	253	3	]	]	PUNCT
ejpam-5344	253	4	a	a	DET
ejpam-5344	253	5	p	p	NOUN
ejpam-5344	253	6	macodi	macodi	NOUN
ejpam-5344	253	7	and	and	CCONJ
ejpam-5344	253	8	g	g	PROPN
ejpam-5344	253	9	petalcorin	petalcorin	NOUN
ejpam-5344	253	10	.	.	PUNCT
ejpam-5344	254	1	fuzzy	fuzzy	ADJ
ejpam-5344	254	2	structures	structure	NOUN
ejpam-5344	254	3	in	in	ADP
ejpam-5344	254	4	hyper	hyper	ADJ
ejpam-5344	254	5	gr	gr	NOUN
ejpam-5344	254	6	-	-	PUNCT
ejpam-5344	254	7	algebras	algebras	NOUN
ejpam-5344	254	8	.	.	PUNCT
ejpam-5344	255	1	italian	italian	ADJ
ejpam-5344	255	2	journal	journal	NOUN
ejpam-5344	255	3	of	of	ADP
ejpam-5344	255	4	pure	pure	ADJ
ejpam-5344	255	5	and	and	CCONJ
ejpam-5344	255	6	applied	applied	ADJ
ejpam-5344	255	7	mathematics	mathematic	NOUN
ejpam-5344	255	8	,	,	PUNCT
ejpam-5344	255	9	48:760–778	48:760–778	PROPN
ejpam-5344	255	10	,	,	PUNCT
ejpam-5344	255	11	2022	2022	NUM
ejpam-5344	255	12	.	.	PUNCT
ejpam-5344	256	1	[	[	X
ejpam-5344	256	2	12	12	NUM
ejpam-5344	256	3	]	]	PUNCT
ejpam-5344	256	4	a	a	DET
ejpam-5344	256	5	p	p	NOUN
ejpam-5344	256	6	macodi	macodi	NOUN
ejpam-5344	256	7	-	-	PUNCT
ejpam-5344	256	8	ringia	ringia	ADJ
ejpam-5344	256	9	and	and	CCONJ
ejpam-5344	256	10	g	g	NOUN
ejpam-5344	256	11	petalcorin	petalcorin	NOUN
ejpam-5344	256	12	.	.	PUNCT
ejpam-5344	257	1	some	some	DET
ejpam-5344	257	2	results	result	NOUN
ejpam-5344	257	3	on	on	ADP
ejpam-5344	257	4	fuzzy	fuzzy	ADJ
ejpam-5344	257	5	implicative	implicative	ADJ
ejpam-5344	257	6	hyper	hyper	ADJ
ejpam-5344	257	7	gr	gr	NOUN
ejpam-5344	257	8	-	-	PUNCT
ejpam-5344	257	9	ideals	ideal	NOUN
ejpam-5344	257	10	.	.	PUNCT
ejpam-5344	258	1	european	european	ADJ
ejpam-5344	258	2	journal	journal	PROPN
ejpam-5344	258	3	of	of	ADP
ejpam-5344	258	4	pure	pure	ADJ
ejpam-5344	258	5	and	and	CCONJ
ejpam-5344	258	6	applied	applied	ADJ
ejpam-5344	258	7	mathematics	mathematic	NOUN
ejpam-5344	258	8	,	,	PUNCT
ejpam-5344	258	9	12:409–417	12:409–417	NUM
ejpam-5344	258	10	,	,	PUNCT
ejpam-5344	258	11	2019	2019	NUM
ejpam-5344	258	12	.	.	PUNCT
ejpam-5344	259	1	[	[	X
ejpam-5344	259	2	13	13	NUM
ejpam-5344	259	3	]	]	PUNCT
ejpam-5344	259	4	a	a	DET
ejpam-5344	259	5	p	p	NOUN
ejpam-5344	259	6	macodi	macodi	NOUN
ejpam-5344	259	7	-	-	PUNCT
ejpam-5344	259	8	ringia	ringia	ADJ
ejpam-5344	259	9	and	and	CCONJ
ejpam-5344	259	10	g	g	NOUN
ejpam-5344	259	11	petalcorin	petalcorin	NOUN
ejpam-5344	259	12	.	.	PUNCT
ejpam-5344	260	1	on	on	ADP
ejpam-5344	260	2	intuitionistic	intuitionistic	ADJ
ejpam-5344	260	3	fuzzy	fuzzy	ADJ
ejpam-5344	260	4	hyper	hyper	ADJ
ejpam-5344	260	5	gr	gr	NOUN
ejpam-5344	260	6	-	-	PUNCT
ejpam-5344	260	7	ideals	ideal	NOUN
ejpam-5344	260	8	in	in	ADP
ejpam-5344	260	9	hyper	hyper	ADJ
ejpam-5344	260	10	gr	gr	NOUN
ejpam-5344	260	11	-	-	PUNCT
ejpam-5344	260	12	algebras	algebra	NOUN
ejpam-5344	260	13	.	.	PUNCT
ejpam-5344	260	14	european	european	PROPN
ejpam-5344	260	15	journal	journal	PROPN
ejpam-5344	260	16	of	of	ADP
ejpam-5344	260	17	pure	pure	ADJ
ejpam-5344	260	18	and	and	CCONJ
ejpam-5344	260	19	applied	applied	ADJ
ejpam-5344	260	20	mathematics	mathematic	NOUN
ejpam-5344	260	21	,	,	PUNCT
ejpam-5344	260	22	13:246–257	13:246–257	PROPN
ejpam-5344	260	23	,	,	PUNCT
ejpam-5344	260	24	2020	2020	NUM
ejpam-5344	260	25	.	.	PUNCT
ejpam-5344	261	1	[	[	X
ejpam-5344	261	2	14	14	NUM
ejpam-5344	261	3	]	]	X
ejpam-5344	261	4	f	f	PROPN
ejpam-5344	261	5	marty	marty	PROPN
ejpam-5344	261	6	.	.	PUNCT
ejpam-5344	262	1	sur	sur	PROPN
ejpam-5344	262	2	une	une	PROPN
ejpam-5344	262	3	generalization	generalization	PROPN
ejpam-5344	262	4	de	de	X
ejpam-5344	262	5	la	la	PROPN
ejpam-5344	262	6	notion	notion	NOUN
ejpam-5344	262	7	de	de	PROPN
ejpam-5344	262	8	group	group	NOUN
ejpam-5344	262	9	.	.	PUNCT
ejpam-5344	263	1	8th	8th	ADJ
ejpam-5344	263	2	congress	congress	PROPN
ejpam-5344	263	3	math	math	NOUN
ejpam-5344	263	4	.	.	PUNCT
ejpam-5344	264	1	scandenaves	scandenave	NOUN
ejpam-5344	264	2	(	(	PUNCT
ejpam-5344	264	3	stockholm	stockholm	PROPN
ejpam-5344	264	4	)	)	PUNCT
ejpam-5344	264	5	,	,	PUNCT
ejpam-5344	264	6	pages	page	NOUN
ejpam-5344	264	7	45–49	45–49	NUM
ejpam-5344	264	8	,	,	PUNCT
ejpam-5344	264	9	1934	1934	NUM
ejpam-5344	264	10	.	.	PUNCT
ejpam-5344	265	1	[	[	X
ejpam-5344	265	2	15	15	NUM
ejpam-5344	265	3	]	]	X
ejpam-5344	265	4	i	i	PRON
ejpam-5344	265	5	masmali	masmali	VERB
ejpam-5344	265	6	,	,	PUNCT
ejpam-5344	265	7	a	a	DET
ejpam-5344	265	8	ahmad	ahmad	PROPN
ejpam-5344	265	9	,	,	PUNCT
ejpam-5344	265	10	m	m	PROPN
ejpam-5344	265	11	azeem	azeem	PROPN
ejpam-5344	265	12	,	,	PUNCT
ejpam-5344	265	13	a	a	DET
ejpam-5344	265	14	n	n	CCONJ
ejpam-5344	265	15	koam	koam	NOUN
ejpam-5344	265	16	,	,	PUNCT
ejpam-5344	265	17	and	and	CCONJ
ejpam-5344	265	18	r	r	NOUN
ejpam-5344	265	19	alharbi	alharbi	NOUN
ejpam-5344	265	20	.	.	PUNCT
ejpam-5344	266	1	topsis	topsis	PROPN
ejpam-5344	266	2	method	method	NOUN
ejpam-5344	266	3	based	base	VERB
ejpam-5344	266	4	on	on	ADP
ejpam-5344	266	5	intuitionistic	intuitionistic	ADJ
ejpam-5344	266	6	fuzzy	fuzzy	ADJ
ejpam-5344	266	7	soft	soft	ADJ
ejpam-5344	266	8	set	set	NOUN
ejpam-5344	266	9	and	and	CCONJ
ejpam-5344	266	10	its	its	PRON
ejpam-5344	266	11	application	application	NOUN
ejpam-5344	266	12	to	to	ADP
ejpam-5344	266	13	diagnosis	diagnosis	NOUN
ejpam-5344	266	14	of	of	ADP
ejpam-5344	266	15	ovarian	ovarian	ADJ
ejpam-5344	266	16	cancer	cancer	NOUN
ejpam-5344	266	17	.	.	PUNCT
ejpam-5344	267	1	international	international	ADJ
ejpam-5344	267	2	journal	journal	PROPN
ejpam-5344	267	3	of	of	ADP
ejpam-5344	267	4	computational	computational	ADJ
ejpam-5344	267	5	intelligence	intelligence	NOUN
ejpam-5344	267	6	systems	system	NOUN
ejpam-5344	267	7	,	,	PUNCT
ejpam-5344	267	8	17(161	17(161	ADJ
ejpam-5344	267	9	)	)	PUNCT
ejpam-5344	267	10	,	,	PUNCT
ejpam-5344	267	11	2024	2024	NUM
ejpam-5344	267	12	.	.	PUNCT
ejpam-5344	268	1	[	[	X
ejpam-5344	268	2	16	16	NUM
ejpam-5344	268	3	]	]	PUNCT
ejpam-5344	268	4	n	n	DET
ejpam-5344	268	5	palaniappan	palaniappan	NOUN
ejpam-5344	268	6	,	,	PUNCT
ejpam-5344	268	7	p	p	NOUN
ejpam-5344	268	8	veerappan	veerappan	NOUN
ejpam-5344	268	9	,	,	PUNCT
ejpam-5344	268	10	and	and	CCONJ
ejpam-5344	268	11	r.	r.	PROPN
ejpam-5344	268	12	devi	devi	PROPN
ejpam-5344	268	13	.	.	PUNCT
ejpam-5344	269	1	intuitionistic	intuitionistic	ADJ
ejpam-5344	269	2	fuzzy	fuzzy	ADJ
ejpam-5344	269	3	ideals	ideal	NOUN
ejpam-5344	269	4	in	in	ADP
ejpam-5344	269	5	hyper	hyper	ADJ
ejpam-5344	269	6	bci	bci	NOUN
ejpam-5344	269	7	-	-	PUNCT
ejpam-5344	269	8	algebras	algebra	NOUN
ejpam-5344	269	9	.	.	PUNCT
ejpam-5344	270	1	notes	note	NOUN
ejpam-5344	270	2	on	on	ADP
ejpam-5344	270	3	intuitionistic	intuitionistic	ADJ
ejpam-5344	270	4	fuzzy	fuzzy	ADJ
ejpam-5344	270	5	sets	set	NOUN
ejpam-5344	270	6	,	,	PUNCT
ejpam-5344	270	7	7:58–64	7:58–64	NUM
ejpam-5344	270	8	,	,	PUNCT
ejpam-5344	270	9	2000	2000	NUM
ejpam-5344	270	10	.	.	PUNCT
ejpam-5344	271	1	[	[	X
ejpam-5344	271	2	17	17	NUM
ejpam-5344	271	3	]	]	X
ejpam-5344	271	4	l	l	NOUN
ejpam-5344	271	5	c	c	NOUN
ejpam-5344	271	6	platil	platil	PROPN
ejpam-5344	271	7	and	and	CCONJ
ejpam-5344	271	8	g	g	PROPN
ejpam-5344	271	9	c	c	PROPN
ejpam-5344	271	10	petalcorin	petalcorin	NOUN
ejpam-5344	271	11	.	.	PUNCT
ejpam-5344	272	1	fuzzy	fuzzy	ADJ
ejpam-5344	272	2	γ	γ	NOUN
ejpam-5344	272	3	-	-	NOUN
ejpam-5344	272	4	semimodules	semimodule	NOUN
ejpam-5344	272	5	over	over	ADP
ejpam-5344	272	6	γ	γ	NOUN
ejpam-5344	272	7	-	-	PUNCT
ejpam-5344	272	8	semirings	semiring	NOUN
ejpam-5344	272	9	.	.	PUNCT
ejpam-5344	273	1	journal	journal	PROPN
ejpam-5344	273	2	of	of	ADP
ejpam-5344	273	3	analysis	analysis	NOUN
ejpam-5344	273	4	and	and	CCONJ
ejpam-5344	273	5	applications	application	NOUN
ejpam-5344	273	6	,	,	PUNCT
ejpam-5344	273	7	15:71–83	15:71–83	NUM
ejpam-5344	273	8	,	,	PUNCT
ejpam-5344	273	9	2017	2017	NUM
ejpam-5344	273	10	.	.	PUNCT
ejpam-5344	274	1	[	[	X
ejpam-5344	274	2	18	18	NUM
ejpam-5344	274	3	]	]	X
ejpam-5344	274	4	l	l	NOUN
ejpam-5344	274	5	c	c	NOUN
ejpam-5344	274	6	platil	platil	PROPN
ejpam-5344	274	7	and	and	CCONJ
ejpam-5344	274	8	t	t	PROPN
ejpam-5344	274	9	tanaka	tanaka	PROPN
ejpam-5344	274	10	.	.	PUNCT
ejpam-5344	275	1	multi	multi	ADJ
ejpam-5344	275	2	-	-	ADJ
ejpam-5344	275	3	criteria	criteria	ADJ
ejpam-5344	275	4	evaluation	evaluation	NOUN
ejpam-5344	275	5	for	for	ADP
ejpam-5344	275	6	intuitionistic	intuitionistic	ADJ
ejpam-5344	275	7	fuzzy	fuzzy	ADJ
ejpam-5344	275	8	sets	set	NOUN
ejpam-5344	275	9	based	base	VERB
ejpam-5344	275	10	on	on	ADP
ejpam-5344	275	11	set	set	NOUN
ejpam-5344	275	12	-	-	PUNCT
ejpam-5344	275	13	relations	relation	NOUN
ejpam-5344	275	14	.	.	PUNCT
ejpam-5344	276	1	nihonkai	nihonkai	PROPN
ejpam-5344	276	2	mathematical	mathematical	PROPN
ejpam-5344	276	3	journal	journal	PROPN
ejpam-5344	276	4	,	,	PUNCT
ejpam-5344	276	5	34:1–18	34:1–18	NUM
ejpam-5344	276	6	,	,	PUNCT
ejpam-5344	276	7	2023	2023	NUM
ejpam-5344	276	8	.	.	PUNCT
ejpam-5344	277	1	[	[	X
ejpam-5344	277	2	19	19	NUM
ejpam-5344	277	3	]	]	SYM
ejpam-5344	277	4	e	e	NOUN
ejpam-5344	277	5	szmidt	szmidt	PROPN
ejpam-5344	277	6	and	and	CCONJ
ejpam-5344	277	7	j	j	PROPN
ejpam-5344	277	8	kacprzyk	kacprzyk	PROPN
ejpam-5344	277	9	.	.	PUNCT
ejpam-5344	278	1	intuitionistic	intuitionistic	ADJ
ejpam-5344	278	2	fuzzy	fuzzy	ADJ
ejpam-5344	278	3	sets	set	NOUN
ejpam-5344	278	4	in	in	ADP
ejpam-5344	278	5	some	some	DET
ejpam-5344	278	6	medical	medical	ADJ
ejpam-5344	278	7	applications	application	NOUN
ejpam-5344	278	8	.	.	PUNCT
ejpam-5344	279	1	notes	note	NOUN
ejpam-5344	279	2	on	on	ADP
ejpam-5344	279	3	intuitionistic	intuitionistic	ADJ
ejpam-5344	279	4	fuzzy	fuzzy	ADJ
ejpam-5344	279	5	sets	set	NOUN
ejpam-5344	279	6	,	,	PUNCT
ejpam-5344	279	7	7:58–64	7:58–64	NUM
ejpam-5344	279	8	,	,	PUNCT
ejpam-5344	279	9	2000	2000	NUM
ejpam-5344	279	10	.	.	PUNCT
ejpam-5344	280	1	[	[	X
ejpam-5344	280	2	20	20	NUM
ejpam-5344	280	3	]	]	PUNCT
ejpam-5344	280	4	m	m	VERB
ejpam-5344	280	5	zahedi	zahedi	PROPN
ejpam-5344	280	6	y	y	PROPN
ejpam-5344	280	7	b	b	PROPN
ejpam-5344	280	8	jun	jun	PROPN
ejpam-5344	280	9	,	,	PUNCT
ejpam-5344	280	10	x	x	PROPN
ejpam-5344	280	11	xin	xin	PROPN
ejpam-5344	280	12	,	,	PUNCT
ejpam-5344	280	13	and	and	CCONJ
ejpam-5344	280	14	r.	r.	PROPN
ejpam-5344	280	15	borzoei	borzoei	PROPN
ejpam-5344	280	16	.	.	PUNCT
ejpam-5344	281	1	on	on	ADP
ejpam-5344	281	2	hyper	hyper	ADJ
ejpam-5344	281	3	bck	bck	NOUN
ejpam-5344	281	4	-	-	PUNCT
ejpam-5344	281	5	algebras	algebras	PROPN
ejpam-5344	281	6	.	.	PUNCT
ejpam-5344	282	1	italian	italian	ADJ
ejpam-5344	282	2	journal	journal	NOUN
ejpam-5344	282	3	of	of	ADP
ejpam-5344	282	4	pure	pure	ADJ
ejpam-5344	282	5	and	and	CCONJ
ejpam-5344	282	6	applied	applied	ADJ
ejpam-5344	282	7	mathematics	mathematic	NOUN
ejpam-5344	282	8	,	,	PUNCT
ejpam-5344	282	9	8:127–136	8:127–136	NUM
ejpam-5344	282	10	,	,	PUNCT
ejpam-5344	282	11	2000	2000	NUM
ejpam-5344	282	12	.	.	PUNCT
ejpam-5344	283	1	[	[	X
ejpam-5344	283	2	21	21	NUM
ejpam-5344	283	3	]	]	X
ejpam-5344	283	4	l	l	PROPN
ejpam-5344	283	5	zadeh	zadeh	PROPN
ejpam-5344	283	6	.	.	PUNCT
ejpam-5344	283	7	fuzzy	fuzzy	ADJ
ejpam-5344	283	8	sets	set	NOUN
ejpam-5344	283	9	.	.	PUNCT
ejpam-5344	284	1	information	information	NOUN
ejpam-5344	284	2	and	and	CCONJ
ejpam-5344	284	3	control	control	NOUN
ejpam-5344	284	4	,	,	PUNCT
ejpam-5344	284	5	8:338–353	8:338–353	NUM
ejpam-5344	284	6	,	,	PUNCT
ejpam-5344	284	7	1965	1965	NUM
ejpam-5344	284	8	.	.	PUNCT