id	sid	eid	entity	type
ejpam-4561	1	1	european journal	ORG
ejpam-4561	2	1	15	CARDINAL
ejpam-4561	2	2	4	CARDINAL
ejpam-4561	2	3	2022	DATE
ejpam-4561	2	4	1957-1965	DATE
ejpam-4561	2	5	1307-5543	DATE
ejpam-4561	2	6	new york	GPE
ejpam-4561	2	7	rizal v. dicen1,∗	PERSON
ejpam-4561	2	8	katrina e. belleza-fuentes1	PERSON
ejpam-4561	2	9	1	CARDINAL
ejpam-4561	2	10	university of san carlos	ORG
ejpam-4561	2	11	6000	CARDINAL
ejpam-4561	2	12	cebu city	GPE
ejpam-4561	2	13	philippines	GPE
ejpam-4561	5	1	2020	DATE
ejpam-4561	5	2	47l45	CARDINAL
ejpam-4561	5	3	08c05	CARDINAL
ejpam-4561	5	4	08a72	CARDINAL
ejpam-4561	5	5	algebras	ORG
ejpam-4561	5	6	1	CARDINAL
ejpam-4561	5	7	1965	DATE
ejpam-4561	5	8	lotfi zadeh’s	ORG
ejpam-4561	6	1	0	CARDINAL
ejpam-4561	6	2	1	CARDINAL
ejpam-4561	6	3	8	CARDINAL
ejpam-4561	7	1	8	CARDINAL
ejpam-4561	9	1	0	CARDINAL
ejpam-4561	9	2	4	CARDINAL
ejpam-4561	11	1	1999	DATE
ejpam-4561	11	2	y.b. jun	PERSON
ejpam-4561	12	1	al	PERSON
ejpam-4561	13	1	5	CARDINAL
ejpam-4561	14	1	2020	DATE
ejpam-4561	14	2	m. ahmed	PERSON
ejpam-4561	14	3	e. ahmed	PERSON
ejpam-4561	15	1	1	CARDINAL
ejpam-4561	16	1	2019	DATE
ejpam-4561	16	2	k. belleza	PERSON
ejpam-4561	16	3	j. vilela	PERSON
ejpam-4561	16	4	2	CARDINAL
ejpam-4561	22	1	m. dicen	PERSON
ejpam-4561	22	2	kebelleza@usc.edu.ph	PERSON
ejpam-4561	22	3	k. belleza-fuentes	PERSON
ejpam-4561	22	4	1957	DATE
ejpam-4561	23	1	2022	CARDINAL
ejpam-4561	24	1	k. belleza	PERSON
ejpam-4561	24	2	m. r. v. dicen	PERSON
ejpam-4561	25	1	j. pure	PERSON
ejpam-4561	25	2	15	CARDINAL
ejpam-4561	25	3	4	CARDINAL
ejpam-4561	25	4	2022	CARDINAL
ejpam-4561	25	5	1957-1965	DATE
ejpam-4561	25	6	2	CARDINAL
ejpam-4561	25	7	2	CARDINAL
ejpam-4561	25	8	0	DATE
ejpam-4561	26	1	1	CARDINAL
ejpam-4561	27	1	3	CARDINAL
ejpam-4561	27	2	∈ s × s	ORG
ejpam-4561	29	1	∈	ORG
ejpam-4561	29	2	∗	CARDINAL
ejpam-4561	29	3	2	CARDINAL
ejpam-4561	30	1	2	CARDINAL
ejpam-4561	30	2	1	CARDINAL
ejpam-4561	30	3	1	CARDINAL
ejpam-4561	31	1	1	CARDINAL
ejpam-4561	31	2	1	CARDINAL
ejpam-4561	32	1	1	CARDINAL
ejpam-4561	33	1	y ∈ n	PERSON
ejpam-4561	36	1	6	CARDINAL
ejpam-4561	38	1	1	CARDINAL
ejpam-4561	39	1	2	CARDINAL
ejpam-4561	41	1	1	CARDINAL
ejpam-4561	41	2	1	CARDINAL
ejpam-4561	41	3	1	CARDINAL
ejpam-4561	41	4	x. 3	DATE
ejpam-4561	42	1	3	CARDINAL
ejpam-4561	44	1	µ(y	PERSON
ejpam-4561	46	1	1	CARDINAL
ejpam-4561	46	2	1	CARDINAL
ejpam-4561	46	3	1	CARDINAL
ejpam-4561	46	4	1	CARDINAL
ejpam-4561	46	5	1	CARDINAL
ejpam-4561	46	6	1	CARDINAL
ejpam-4561	46	7	1	CARDINAL
ejpam-4561	46	8	1	CARDINAL
ejpam-4561	47	1	0	CARDINAL
ejpam-4561	47	2	1	CARDINAL
ejpam-4561	47	3	0.8	CARDINAL
ejpam-4561	47	4	0.3	CARDINAL
ejpam-4561	49	1	k. belleza	PERSON
ejpam-4561	49	2	m. r. v. dicen	PERSON
ejpam-4561	50	1	j. pure	PERSON
ejpam-4561	50	2	15	CARDINAL
ejpam-4561	50	3	4	CARDINAL
ejpam-4561	50	4	2022	CARDINAL
ejpam-4561	50	5	1957-1965	DATE
ejpam-4561	50	6	1	CARDINAL
ejpam-4561	52	1	1	CARDINAL
ejpam-4561	54	1	1	CARDINAL
ejpam-4561	56	1	1	CARDINAL
ejpam-4561	59	1	1	CARDINAL
ejpam-4561	60	1	1	CARDINAL
ejpam-4561	60	2	1	CARDINAL
ejpam-4561	61	1	1	CARDINAL
ejpam-4561	62	1	3	CARDINAL
ejpam-4561	63	1	1	CARDINAL
ejpam-4561	64	1	1	CARDINAL
ejpam-4561	65	1	2	CARDINAL
ejpam-4561	68	1	k. belleza	PERSON
ejpam-4561	68	2	m. r. v. dicen	PERSON
ejpam-4561	69	1	j. pure	PERSON
ejpam-4561	69	2	15	CARDINAL
ejpam-4561	69	3	4	CARDINAL
ejpam-4561	69	4	2022	CARDINAL
ejpam-4561	69	5	1957-1965	DATE
ejpam-4561	70	1	x.	PERSON
ejpam-4561	71	1	2k−1	CARDINAL
ejpam-4561	71	2	integer k.	PERSON
ejpam-4561	71	3	1	CARDINAL
ejpam-4561	71	4	1	CARDINAL
ejpam-4561	73	1	2(k+1)−1∏	CARDINAL
ejpam-4561	74	1	2k+1∏	CARDINAL
ejpam-4561	75	1	1	CARDINAL
ejpam-4561	80	1	integer k.	PERSON
ejpam-4561	80	2	1	CARDINAL
ejpam-4561	80	3	2	CARDINAL
ejpam-4561	80	4	2k∏ x ◦ x	QUANTITY
ejpam-4561	80	5	integer k.	PERSON
ejpam-4561	80	6	2(k+1)∏	CARDINAL
ejpam-4561	80	7	2k+2∏	CARDINAL
ejpam-4561	80	8	2k∏	CARDINAL
ejpam-4561	80	9	1	CARDINAL
ejpam-4561	84	1	k. belleza	PERSON
ejpam-4561	84	2	m. r. v. dicen	PERSON
ejpam-4561	85	1	j. pure	PERSON
ejpam-4561	85	2	15	CARDINAL
ejpam-4561	85	3	4	CARDINAL
ejpam-4561	85	4	2022	CARDINAL
ejpam-4561	85	5	1957-1965 1961	DATE
ejpam-4561	85	6	3	CARDINAL
ejpam-4561	86	1	1	CARDINAL
ejpam-4561	86	2	fdb2	ORG
ejpam-4561	87	1	1	CARDINAL
ejpam-4561	87	2	µ(y	PERSON
ejpam-4561	89	1	fdb1	ORG
ejpam-4561	89	2	3	CARDINAL
ejpam-4561	89	3	1	CARDINAL
ejpam-4561	90	1	fdb1	ORG
ejpam-4561	91	1	fdb2	ORG
ejpam-4561	91	2	3	CARDINAL
ejpam-4561	91	3	1	CARDINAL
ejpam-4561	91	4	1	CARDINAL
ejpam-4561	92	1	µ(y	PERSON
ejpam-4561	93	1	fdb2	ORG
ejpam-4561	94	1	3	CARDINAL
ejpam-4561	94	2	1	CARDINAL
ejpam-4561	95	1	fdb1	ORG
ejpam-4561	95	2	fdb2	ORG
ejpam-4561	97	1	fdb1	ORG
ejpam-4561	97	2	fdb2	ORG
ejpam-4561	98	1	y ∈	PERSON
ejpam-4561	100	1	1	CARDINAL
ejpam-4561	100	2	1	CARDINAL
ejpam-4561	101	1	1(i	CARDINAL
ejpam-4561	101	2	1	CARDINAL
ejpam-4561	101	3	1	CARDINAL
ejpam-4561	101	4	µ(y	PERSON
ejpam-4561	101	5	1	CARDINAL
ejpam-4561	101	6	µ(y	PERSON
ejpam-4561	101	7	µ(y	PERSON
ejpam-4561	102	1	fdb2	ORG
ejpam-4561	102	2	µ(y	PERSON
ejpam-4561	103	1	fdb1	ORG
ejpam-4561	105	1	2	CARDINAL
ejpam-4561	105	2	1	CARDINAL
ejpam-4561	105	3	fdb1	ORG
ejpam-4561	105	4	fdb2	ORG
ejpam-4561	106	1	µ(a	PERSON
ejpam-4561	107	1	µ(((a	DATE
ejpam-4561	107	2	1	CARDINAL
ejpam-4561	107	3	1	CARDINAL
ejpam-4561	107	4	µ(a	PERSON
ejpam-4561	108	1	0.3	CARDINAL
ejpam-4561	109	1	µ(a	PERSON
ejpam-4561	109	2	µ(((a	DATE
ejpam-4561	109	3	1	CARDINAL
ejpam-4561	109	4	1	CARDINAL
ejpam-4561	109	5	k. belleza	PERSON
ejpam-4561	109	6	m. r. v. dicen	PERSON
ejpam-4561	110	1	j. pure	PERSON
ejpam-4561	110	2	15	CARDINAL
ejpam-4561	110	3	4	CARDINAL
ejpam-4561	110	4	2022	CARDINAL
ejpam-4561	110	5	1957-1965 1962 ≥ min{µ((a ◦	DATE
ejpam-4561	110	6	1	CARDINAL
ejpam-4561	110	7	1	CARDINAL
ejpam-4561	110	8	µ(b	PERSON
ejpam-4561	110	9	µ(b	PERSON
ejpam-4561	110	10	0.3	CARDINAL
ejpam-4561	112	1	4	CARDINAL
ejpam-4561	117	1	3	CARDINAL
ejpam-4561	117	2	1	CARDINAL
ejpam-4561	119	1	0	CARDINAL
ejpam-4561	119	2	1	CARDINAL
ejpam-4561	119	3	δ(1	PERSON
ejpam-4561	119	4	δ(a	ORG
ejpam-4561	119	5	0.6	CARDINAL
ejpam-4561	119	6	δ(c	FAC
ejpam-4561	119	7	δ(d	PERSON
ejpam-4561	120	1	0.1	CARDINAL
ejpam-4561	122	1	4	CARDINAL
ejpam-4561	122	2	1	CARDINAL
ejpam-4561	122	3	1	CARDINAL
ejpam-4561	122	4	1 1	CARDINAL
ejpam-4561	122	5	1	CARDINAL
ejpam-4561	122	6	1	CARDINAL
ejpam-4561	122	7	1	CARDINAL
ejpam-4561	124	1	0	CARDINAL
ejpam-4561	124	2	1	CARDINAL
ejpam-4561	124	3	µ(a	PERSON
ejpam-4561	124	4	µ(c	PERSON
ejpam-4561	124	5	x.	GPE
ejpam-4561	125	1	0	CARDINAL
ejpam-4561	125	2	1	CARDINAL
ejpam-4561	126	1	φ	ORG
ejpam-4561	126	2	x.	GPE
ejpam-4561	126	3	2	CARDINAL
ejpam-4561	129	1	4	CARDINAL
ejpam-4561	130	1	1	CARDINAL
ejpam-4561	131	1	µ(y	PERSON
ejpam-4561	133	1	1	CARDINAL
ejpam-4561	134	1	2	CARDINAL
ejpam-4561	135	1	1	CARDINAL
ejpam-4561	136	1	1	CARDINAL
ejpam-4561	137	1	= µ(b ◦	PERSON
ejpam-4561	137	2	µ(a	PERSON
ejpam-4561	137	3	0.3	CARDINAL
ejpam-4561	138	1	1	CARDINAL
ejpam-4561	139	1	1	CARDINAL
ejpam-4561	139	2	µ(c	PERSON
ejpam-4561	139	3	0.8	CARDINAL
ejpam-4561	140	1	k. belleza	PERSON
ejpam-4561	140	2	m. r. v. dicen	PERSON
ejpam-4561	141	1	j. pure	PERSON
ejpam-4561	141	2	15	CARDINAL
ejpam-4561	141	3	4	CARDINAL
ejpam-4561	141	4	2022	CARDINAL
ejpam-4561	141	5	1957-1965	DATE
ejpam-4561	141	6	1963	DATE
ejpam-4561	143	1	5	CARDINAL
ejpam-4561	145	1	5	CARDINAL
ejpam-4561	146	1	3	CARDINAL
ejpam-4561	146	2	4	CARDINAL
ejpam-4561	147	1	4	CARDINAL
ejpam-4561	149	1	y ∈	PERSON
ejpam-4561	152	1	µ(y	PERSON
ejpam-4561	156	1	µ(y	PERSON
ejpam-4561	163	1	3	CARDINAL
ejpam-4561	173	1	µ(f ◦	ORG
ejpam-4561	175	1	1	CARDINAL
ejpam-4561	176	1	µ(f ◦	ORG
ejpam-4561	177	1	k. belleza	PERSON
ejpam-4561	177	2	m. r. v. dicen	PERSON
ejpam-4561	178	1	j. pure	PERSON
ejpam-4561	178	2	15	CARDINAL
ejpam-4561	178	3	4	CARDINAL
ejpam-4561	178	4	2022	CARDINAL
ejpam-4561	178	5	1957-1965 1964	DATE
ejpam-4561	179	1	4	CARDINAL
ejpam-4561	183	1	y ∈	PERSON
ejpam-4561	185	1	min{µω(x	DATE
ejpam-4561	185	2	x.	GPE
ejpam-4561	185	3	2	CARDINAL
ejpam-4561	186	1	2	CARDINAL
ejpam-4561	188	1	6	CARDINAL
ejpam-4561	188	2	1	CARDINAL
ejpam-4561	189	1	0	CARDINAL
ejpam-4561	189	2	1	CARDINAL
ejpam-4561	189	3	δ(1	PERSON
ejpam-4561	189	4	δ(d	PERSON
ejpam-4561	190	1	0.6	CARDINAL
ejpam-4561	190	2	0.1	CARDINAL
ejpam-4561	190	3	δ(a	ORG
ejpam-4561	190	4	δ(c	PRODUCT
ejpam-4561	192	1	δ)(c	PERSON
ejpam-4561	193	1	0.3	CARDINAL
ejpam-4561	194	1	σ)(c	ORG
ejpam-4561	194	2	0.6	CARDINAL
ejpam-4561	194	3	0.6	CARDINAL
ejpam-4561	194	4	δ)(c	PERSON
ejpam-4561	194	5	σ)(c	ORG
ejpam-4561	196	1	2	CARDINAL
ejpam-4561	197	1	2	CARDINAL
ejpam-4561	198	1	4	CARDINAL
ejpam-4561	203	1	1965	DATE
ejpam-4561	203	2	university of san carlos	ORG
ejpam-4561	204	1	1	CARDINAL
ejpam-4561	204	2	e ahmed	PERSON
ejpam-4561	204	3	ahmed	PERSON
ejpam-4561	205	1	bck-algebras	ORG
ejpam-4561	205	2	2020	DATE
ejpam-4561	206	1	2	CARDINAL
ejpam-4561	206	2	j vilela	PERSON
ejpam-4561	208	1	european journal	ORG
ejpam-4561	208	2	12(04):1497–1507,	DATE
ejpam-4561	208	3	2019	DATE
ejpam-4561	209	1	3	CARDINAL
ejpam-4561	210	1	first	ORDINAL
ejpam-4561	211	1	pearson education limited	ORG
ejpam-4561	211	2	london	GPE
ejpam-4561	211	3	united kingdom	GPE
ejpam-4561	211	4	2014	DATE
ejpam-4561	212	1	4	CARDINAL
ejpam-4561	212	2	s leung	PERSON
ejpam-4561	212	3	w wong	PERSON
ejpam-4561	214	1	woodhead	PERSON
ejpam-4561	214	2	sawston	GPE
ejpam-4561	214	3	united kingdom	GPE
ejpam-4561	214	4	2013	DATE
ejpam-4561	215	1	5	CARDINAL
ejpam-4561	215	2	y jun	PERSON
ejpam-4561	215	3	e roh	PERSON
ejpam-4561	215	4	kim	PERSON
ejpam-4561	217	1	czechoslovak mathematical journal	ORG
ejpam-4561	217	2	52(2):375–384	CARDINAL
ejpam-4561	217	3	2002	DATE
ejpam-4561	218	1	6	CARDINAL
ejpam-4561	220	1	onternation journal of mathematicsl	ORG
ejpam-4561	220	2	2:215–219	CARDINAL
ejpam-4561	220	3	2002	DATE
ejpam-4561	224	1	2019	DATE
ejpam-4561	225	1	8	CARDINAL
ejpam-4561	226	1	08:338–365	CARDINAL
ejpam-4561	226	2	1965	DATE