id	sid	eid	entity	type
ejpam-4170	1	1	european journal	ORG
ejpam-4170	2	1	15	CARDINAL
ejpam-4170	2	2	1	CARDINAL
ejpam-4170	2	3	2022	CARDINAL
ejpam-4170	2	4	36	CARDINAL
ejpam-4170	2	5	1307-5543	CARDINAL
ejpam-4170	2	6	new york	GPE
ejpam-4170	2	7	medina	GPE
ejpam-4170	2	8	saudi arabia	GPE
ejpam-4170	7	1	2020	DATE
ejpam-4170	7	2	03e72	CARDINAL
ejpam-4170	7	3	03b52	CARDINAL
ejpam-4170	7	4	94d05	CARDINAL
ejpam-4170	7	5	08a72	CARDINAL
ejpam-4170	7	6	pythagorean	ORG
ejpam-4170	7	7	1	CARDINAL
ejpam-4170	7	8	1965	DATE
ejpam-4170	7	9	zadeh	ORG
ejpam-4170	8	1	16	CARDINAL
ejpam-4170	13	1	peng	PERSON
ejpam-4170	14	1	11	CARDINAL
ejpam-4170	15	1	yager	PERSON
ejpam-4170	16	1	15	CARDINAL
ejpam-4170	17	1	4	CARDINAL
ejpam-4170	17	2	pythagorean	ORG
ejpam-4170	19	1	14	CARDINAL
ejpam-4170	20	1	10	CARDINAL
ejpam-4170	22	1	5	CARDINAL
ejpam-4170	23	1	6	CARDINAL
ejpam-4170	23	2	pythagorean	ORG
ejpam-4170	24	1	8	CARDINAL
ejpam-4170	25	1	9	CARDINAL
ejpam-4170	25	2	pythagorean	ORG
ejpam-4170	26	1	a. alhumaimeed	PERSON
ejpam-4170	27	1	36	CARDINAL
ejpam-4170	27	2	2022	CARDINAL
ejpam-4170	28	1	a. alhumaimeed	PERSON
ejpam-4170	29	1	j. pure	PERSON
ejpam-4170	29	2	15	CARDINAL
ejpam-4170	29	3	1	CARDINAL
ejpam-4170	29	4	2022	CARDINAL
ejpam-4170	29	5	36	CARDINAL
ejpam-4170	29	6	17	CARDINAL
ejpam-4170	30	1	13	CARDINAL
ejpam-4170	30	2	12	CARDINAL
ejpam-4170	31	1	pythagorean	ORG
ejpam-4170	31	2	pythagorean	ORG
ejpam-4170	31	3	1	CARDINAL
ejpam-4170	31	4	2	CARDINAL
ejpam-4170	32	1	pythagorean submodule.	ORG
ejpam-4170	34	1	pythagorean	ORG
ejpam-4170	35	1	pythagorean	ORG
ejpam-4170	36	1	2	CARDINAL
ejpam-4170	36	2	1	CARDINAL
ejpam-4170	37	1	pythagorean	ORG
ejpam-4170	37	2	0 ≤	MONEY
ejpam-4170	37	3	0 ≤	MONEY
ejpam-4170	37	4	0 ≤	QUANTITY
ejpam-4170	37	5	2 + η̂p	QUANTITY
ejpam-4170	39	1	2	CARDINAL
ejpam-4170	40	1	x.	EVENT
ejpam-4170	41	1	•	CARDINAL
ejpam-4170	41	2	∈	ORG
ejpam-4170	41	3	η2s(a	PERSON
ejpam-4170	41	4	η̂2p	ORG
ejpam-4170	42	1	•	CARDINAL
ejpam-4170	43	1	η2s(a	PERSON
ejpam-4170	43	2	η̂2p∩s(a	PERSON
ejpam-4170	44	1	•	CARDINAL
ejpam-4170	45	1	η2s(a	PERSON
ejpam-4170	46	1	•	CARDINAL
ejpam-4170	46	2	η̂ 2 p+s(a	PERSON
ejpam-4170	47	1	submodule	ORG
ejpam-4170	48	1	3	CARDINAL
ejpam-4170	50	1	1) η2p	QUANTITY
ejpam-4170	50	2	1	CARDINAL
ejpam-4170	50	3	η̂2p	ORG
ejpam-4170	50	4	1	CARDINAL
ejpam-4170	50	5	0	CARDINAL
ejpam-4170	50	6	a. alhumaimeed	PERSON
ejpam-4170	51	1	j. pure	PERSON
ejpam-4170	51	2	15	CARDINAL
ejpam-4170	51	3	1	CARDINAL
ejpam-4170	51	4	2022	CARDINAL
ejpam-4170	51	5	36	CARDINAL
ejpam-4170	51	6	2	CARDINAL
ejpam-4170	51	7	η̂2p	ORG
ejpam-4170	51	8	η̂2p	ORG
ejpam-4170	52	1	3) η2p	QUANTITY
ejpam-4170	52	2	∈	ORG
ejpam-4170	52	3	1	CARDINAL
ejpam-4170	52	4	0	CARDINAL
ejpam-4170	52	5	4	CARDINAL
ejpam-4170	54	1	1	CARDINAL
ejpam-4170	54	2	1	CARDINAL
ejpam-4170	54	3	2	CARDINAL
ejpam-4170	54	4	1	CARDINAL
ejpam-4170	54	5	0	CARDINAL
ejpam-4170	54	6	3	CARDINAL
ejpam-4170	55	1	pythagorean	ORG
ejpam-4170	55	2	̸=m	CARDINAL
ejpam-4170	56	1	zero	CARDINAL
ejpam-4170	56	2	submodule	ORG
ejpam-4170	59	1	1	CARDINAL
ejpam-4170	60	1	3	CARDINAL
ejpam-4170	62	1	2	CARDINAL
ejpam-4170	63	1	3	CARDINAL
ejpam-4170	64	1	a. alhumaimeed	PERSON
ejpam-4170	65	1	j. pure	PERSON
ejpam-4170	65	2	15	CARDINAL
ejpam-4170	65	3	1	CARDINAL
ejpam-4170	65	4	2022	CARDINAL
ejpam-4170	65	5	36	CARDINAL
ejpam-4170	68	1	χpfm	PERSON
ejpam-4170	69	1	2	CARDINAL
ejpam-4170	75	1	∈	ORG
ejpam-4170	75	2	∈	ORG
ejpam-4170	77	1	s(m)−	DATE
ejpam-4170	77	2	m)χ2 s(m	ORG
ejpam-4170	77	3	2 s(a	PERSON
ejpam-4170	77	4	2	CARDINAL
ejpam-4170	77	5	s(b)−	ORG
ejpam-4170	77	6	2	CARDINAL
ejpam-4170	77	7	1	CARDINAL
ejpam-4170	79	1	2	CARDINAL
ejpam-4170	79	2	2	CARDINAL
ejpam-4170	79	3	2	CARDINAL
ejpam-4170	79	4	2	CARDINAL
ejpam-4170	80	1	2	CARDINAL
ejpam-4170	83	1	3	CARDINAL
ejpam-4170	89	1	χpfm	PERSON
ejpam-4170	90	1	∈	ORG
ejpam-4170	91	1	∈	ORG
ejpam-4170	92	1	m)χ2 s(m	PRODUCT
ejpam-4170	92	2	2 s(a	PERSON
ejpam-4170	92	3	η 2	ORG
ejpam-4170	92	4	2	CARDINAL
ejpam-4170	93	1	1	CARDINAL
ejpam-4170	93	2	2	CARDINAL
ejpam-4170	93	3	η̂2p	ORG
ejpam-4170	93	4	0	CARDINAL
ejpam-4170	93	5	χpfm	PERSON
ejpam-4170	94	1	χpfm	PERSON
ejpam-4170	96	1	a. alhumaimeed	PERSON
ejpam-4170	97	1	j. pure	PERSON
ejpam-4170	97	2	15	CARDINAL
ejpam-4170	97	3	1	CARDINAL
ejpam-4170	97	4	2022	CARDINAL
ejpam-4170	97	5	36	CARDINAL
ejpam-4170	97	6	46 40	CARDINAL
ejpam-4170	98	1	1	CARDINAL
ejpam-4170	98	2	∈	ORG
ejpam-4170	98	3	1 4	CARDINAL
ejpam-4170	98	4	0	CARDINAL
ejpam-4170	98	5	∈	ORG
ejpam-4170	98	6	1 6	CARDINAL
ejpam-4170	100	1	1	CARDINAL
ejpam-4170	101	1	two	CARDINAL
ejpam-4170	101	2	⊆	CARDINAL
ejpam-4170	103	1	4	CARDINAL
ejpam-4170	104	1	⊆	CARDINAL
ejpam-4170	107	1	submodule ofm	ORG
ejpam-4170	107	2	χpfm	PERSON
ejpam-4170	108	1	∈	ORG
ejpam-4170	109	1	2	CARDINAL
ejpam-4170	109	2	2	CARDINAL
ejpam-4170	109	3	2	CARDINAL
ejpam-4170	110	1	s(a	PERSON
ejpam-4170	110	2	s(a)}min{η2	PRODUCT
ejpam-4170	110	3	s(a	PERSON
ejpam-4170	111	1	1	CARDINAL
ejpam-4170	111	2	s(a	PERSON
ejpam-4170	111	3	|s+(t	ORG
ejpam-4170	111	4	a)η̂ 2	DATE
ejpam-4170	111	5	2	CARDINAL
ejpam-4170	111	6	2	CARDINAL
ejpam-4170	111	7	a. alhumaimeed	PERSON
ejpam-4170	112	1	j. pure	PERSON
ejpam-4170	112	2	15	CARDINAL
ejpam-4170	112	3	1	CARDINAL
ejpam-4170	112	4	2022	CARDINAL
ejpam-4170	112	5	36	CARDINAL
ejpam-4170	112	6	46 41	CARDINAL
ejpam-4170	114	1	2	CARDINAL
ejpam-4170	114	2	2 s	CARDINAL
ejpam-4170	114	3	|s+(t	ORG
ejpam-4170	116	1	⊆	CARDINAL
ejpam-4170	119	1	⊆	CARDINAL
ejpam-4170	119	2	⊆	CARDINAL
ejpam-4170	120	1	χpfm	PERSON
ejpam-4170	121	1	2	CARDINAL
ejpam-4170	122	1	⊆	CARDINAL
ejpam-4170	122	2	s.	PERSON
ejpam-4170	125	1	1	CARDINAL
ejpam-4170	126	1	4	CARDINAL
ejpam-4170	127	1	⊆	CARDINAL
ejpam-4170	127	2	1	CARDINAL
ejpam-4170	129	1	∩ s	WORK_OF_ART
ejpam-4170	129	2	⊆	CARDINAL
ejpam-4170	133	1	η2s(m	ORG
ejpam-4170	134	1	m)− η2s(m)η2t	GPE
ejpam-4170	138	1	a. alhumaimeed	PERSON
ejpam-4170	139	1	j. pure	PERSON
ejpam-4170	139	2	15	CARDINAL
ejpam-4170	139	3	1	CARDINAL
ejpam-4170	139	4	2022	CARDINAL
ejpam-4170	139	5	36	CARDINAL
ejpam-4170	139	6	2	CARDINAL
ejpam-4170	141	1	⊕ pf s.	PERSON
ejpam-4170	141	2	⊕	GPE
ejpam-4170	141	3	⊕	PERSON
ejpam-4170	143	1	1	CARDINAL
ejpam-4170	145	1	1 or	CARDINAL
ejpam-4170	146	1	1	CARDINAL
ejpam-4170	146	2	η̂2p	ORG
ejpam-4170	146	3	0 or η̂2s(m	MONEY
ejpam-4170	148	1	0	CARDINAL
ejpam-4170	149	1	∈	ORG
ejpam-4170	149	2	∈	ORG
ejpam-4170	151	1	0	CARDINAL
ejpam-4170	151	2	∈	ORG
ejpam-4170	151	3	η2s(m	ORG
ejpam-4170	152	1	0	CARDINAL
ejpam-4170	153	1	⊕	PERSON
ejpam-4170	153	2	η2s(m	ORG
ejpam-4170	154	1	⊆	CARDINAL
ejpam-4170	154	2	0	CARDINAL
ejpam-4170	156	1	2	CARDINAL
ejpam-4170	156	2	5	CARDINAL
ejpam-4170	157	1	⊆	CARDINAL
ejpam-4170	162	1	3	CARDINAL
ejpam-4170	163	1	⊆	CARDINAL
ejpam-4170	163	2	2	CARDINAL
ejpam-4170	164	1	6	CARDINAL
ejpam-4170	166	1	1	CARDINAL
ejpam-4170	166	2	⊕	PERSON
ejpam-4170	167	1	⊕	GPE
ejpam-4170	167	2	2	CARDINAL
ejpam-4170	167	3	⊕	PERSON
ejpam-4170	168	1	1	CARDINAL
ejpam-4170	169	1	∈	ORG
ejpam-4170	169	2	η2p+s(m	GPE
ejpam-4170	169	3	0	CARDINAL
ejpam-4170	170	1	0 <	QUANTITY
ejpam-4170	173	1	a. alhumaimeed	PERSON
ejpam-4170	174	1	j. pure	PERSON
ejpam-4170	174	2	15	CARDINAL
ejpam-4170	174	3	1	CARDINAL
ejpam-4170	174	4	2022	CARDINAL
ejpam-4170	174	5	36	CARDINAL
ejpam-4170	175	1	1	CARDINAL
ejpam-4170	175	2	η̂2p	ORG
ejpam-4170	175	3	η̂2p	ORG
ejpam-4170	175	4	1 or η̂2s(m	MONEY
ejpam-4170	175	5	1	CARDINAL
ejpam-4170	175	6	∈	ORG
ejpam-4170	175	7	∈	ORG
ejpam-4170	176	1	∈	ORG
ejpam-4170	176	2	∈	ORG
ejpam-4170	176	3	η 2	PERSON
ejpam-4170	177	1	0	CARDINAL
ejpam-4170	179	1	η 2	ORG
ejpam-4170	181	1	2	CARDINAL
ejpam-4170	181	2	η 2	ORG
ejpam-4170	181	3	2	CARDINAL
ejpam-4170	181	4	η̂2p	ORG
ejpam-4170	181	5	η̂ 2	PERSON
ejpam-4170	181	6	1	CARDINAL
ejpam-4170	181	7	1	CARDINAL
ejpam-4170	181	8	η̂2p	ORG
ejpam-4170	181	9	∈	ORG
ejpam-4170	181	10	+	CARDINAL
ejpam-4170	181	11	⊆	CARDINAL
ejpam-4170	182	1	2	CARDINAL
ejpam-4170	182	2	∈	ORG
ejpam-4170	182	3	η2p+s(m	GPE
ejpam-4170	184	1	1	CARDINAL
ejpam-4170	184	2	1 = η2p	QUANTITY
ejpam-4170	185	1	1 or	CARDINAL
ejpam-4170	186	1	1	CARDINAL
ejpam-4170	186	2	0	CARDINAL
ejpam-4170	186	3	η̂2p	ORG
ejpam-4170	186	4	η̂2p	ORG
ejpam-4170	186	5	0 or η̂2s(m	MONEY
ejpam-4170	187	1	0	CARDINAL
ejpam-4170	188	1	∈	ORG
ejpam-4170	188	2	∈	ORG
ejpam-4170	188	3	∈	ORG
ejpam-4170	188	4	⊆	CARDINAL
ejpam-4170	188	5	∈	ORG
ejpam-4170	188	6	∈	ORG
ejpam-4170	188	7	η 2	PERSON
ejpam-4170	189	1	1	CARDINAL
ejpam-4170	189	2	1	CARDINAL
ejpam-4170	189	3	2	CARDINAL
ejpam-4170	189	4	η 2	ORG
ejpam-4170	189	5	2	CARDINAL
ejpam-4170	190	1	η̂2p	ORG
ejpam-4170	190	2	η̂ 2	PERSON
ejpam-4170	190	3	0	CARDINAL
ejpam-4170	191	1	η̂2p	ORG
ejpam-4170	191	2	∈	ORG
ejpam-4170	191	3	⊆	CARDINAL
ejpam-4170	192	1	a. alhumaimeed	PERSON
ejpam-4170	193	1	j. pure	PERSON
ejpam-4170	193	2	15	CARDINAL
ejpam-4170	193	3	1	CARDINAL
ejpam-4170	193	4	2022	CARDINAL
ejpam-4170	193	5	36	CARDINAL
ejpam-4170	193	6	4	CARDINAL
ejpam-4170	194	1	two	CARDINAL
ejpam-4170	194	2	l ≤pf p	ORG
ejpam-4170	194	3	n ≤pf s.	ORG
ejpam-4170	194	4	s ∈ s	WORK_OF_ART
ejpam-4170	195	1	0	CARDINAL
ejpam-4170	197	1	1	CARDINAL
ejpam-4170	199	1	ψ(t	FAC
ejpam-4170	199	2	s. proof	ORG
ejpam-4170	200	1	ψ(t	FAC
ejpam-4170	203	1	1	CARDINAL
ejpam-4170	204	1	+l(s	PERSON
ejpam-4170	205	1	2 l(s	PERSON
ejpam-4170	205	2	2 l(s	PERSON
ejpam-4170	205	3	1 = η2l(s	QUANTITY
ejpam-4170	205	4	η̂ 2 l(s	PERSON
ejpam-4170	207	1	1	CARDINAL
ejpam-4170	208	1	2 l(s	PERSON
ejpam-4170	209	1	ψ(p	NORP
ejpam-4170	210	1	1	CARDINAL
ejpam-4170	211	1	η2l(s	CARDINAL
ejpam-4170	211	2	1	CARDINAL
ejpam-4170	213	1	0	CARDINAL
ejpam-4170	214	1	+l(s	PERSON
ejpam-4170	214	2	45	CARDINAL
ejpam-4170	215	1	ψ(p	NORP
ejpam-4170	218	1	2	CARDINAL
ejpam-4170	219	1	1	CARDINAL
ejpam-4170	220	1	zero	CARDINAL
ejpam-4170	220	2	zero	CARDINAL
ejpam-4170	221	1	2	CARDINAL
ejpam-4170	222	1	ψ(t	FAC
ejpam-4170	226	1	5	CARDINAL
ejpam-4170	226	2	pythagorean submodule.	ORG
ejpam-4170	228	1	pythagorean	ORG
ejpam-4170	229	1	pythagorean	ORG
ejpam-4170	232	1	muhammad irfan ali	PERSON
ejpam-4170	234	1	33(11):2139–2153,	DATE
ejpam-4170	234	2	2018	DATE
ejpam-4170	235	1	2	CARDINAL
ejpam-4170	235	2	zeeshan ali	PERSON
ejpam-4170	235	3	tahir mahmood	PERSON
ejpam-4170	236	1	maclaurin	NORP
ejpam-4170	237	1	39:1–27	DATE
ejpam-4170	237	2	2020	DATE
ejpam-4170	238	1	3	CARDINAL
ejpam-4170	238	2	frank w anderson	PERSON
ejpam-4170	238	3	kent	PERSON
ejpam-4170	239	1	13	CARDINAL
ejpam-4170	240	1	springer science & business media	ORG
ejpam-4170	240	2	2012	DATE
ejpam-4170	241	1	4	CARDINAL
ejpam-4170	241	2	scott dick	PERSON
ejpam-4170	241	3	ronald r yager	PERSON
ejpam-4170	242	1	pythagorean	ORG
ejpam-4170	243	1	24(5):1009–1021	CARDINAL
ejpam-4170	243	2	2015	DATE
ejpam-4170	244	1	46	CARDINAL
ejpam-4170	245	1	5	CARDINAL
ejpam-4170	245	2	harish garg	PERSON
ejpam-4170	246	1	pythagorean	ORG
ejpam-4170	247	1	30(6):763–794	ORG
ejpam-4170	247	2	2018	DATE
ejpam-4170	248	1	6	CARDINAL
ejpam-4170	248	2	harish	NORP
ejpam-4170	250	1	26(01):67–80	DATE
ejpam-4170	250	2	2018	DATE
ejpam-4170	251	1	muhammad jabir khan	PERSON
ejpam-4170	251	2	poom kumam	PERSON
ejpam-4170	253	1	36(2):628–655	CARDINAL
ejpam-4170	253	2	2021	DATE
ejpam-4170	254	1	8	CARDINAL
ejpam-4170	254	2	decui liang	PERSON
ejpam-4170	254	3	zeshui xu	PERSON
ejpam-4170	255	1	60:167–179	CARDINAL
ejpam-4170	255	2	2017	DATE
ejpam-4170	256	1	9	CARDINAL
ejpam-4170	256	2	vahid	PERSON
ejpam-4170	256	3	behnam vahdani	PERSON
ejpam-4170	258	1	61:527–535	CARDINAL
ejpam-4170	258	2	2017	DATE
ejpam-4170	259	1	10	CARDINAL
ejpam-4170	259	2	xindong peng	PERSON
ejpam-4170	261	1	52(3):1873–1927	CARDINAL
ejpam-4170	261	2	2019	DATE
ejpam-4170	262	1	11	CARDINAL
ejpam-4170	262	2	xindong peng	PERSON
ejpam-4170	262	3	yong yang	PERSON
ejpam-4170	264	1	30(11):1133–1160	DATE
ejpam-4170	264	2	2015	DATE
ejpam-4170	265	1	12	CARDINAL
ejpam-4170	265	2	luis pérez-domı́nguez	PERSON
ejpam-4170	265	3	luis alberto rodŕıguez-picón	PERSON
ejpam-4170	265	4	alejandro alvarado-iniesta	PERSON
ejpam-4170	265	5	david luviano cruz	PERSON
ejpam-4170	265	6	zeshui xu	PERSON
ejpam-4170	266	1	moora	PERSON
ejpam-4170	267	1	2018	DATE
ejpam-4170	267	2	2018	DATE
ejpam-4170	268	1	13	CARDINAL
ejpam-4170	268	2	k rahman	PERSON
ejpam-4170	268	3	s abdullah	PERSON
ejpam-4170	268	4	m shakeel	PERSON
ejpam-4170	268	5	sajjad ali khan	PERSON
ejpam-4170	268	6	murad ullah	PERSON
ejpam-4170	269	1	intervalvalued pythagorean	PERSON
ejpam-4170	270	1	4(1):1338638	CARDINAL
ejpam-4170	270	2	2017	DATE
ejpam-4170	271	1	14	CARDINAL
ejpam-4170	271	2	ronald r yager.	PERSON
ejpam-4170	272	1	pythagorean	ORG
ejpam-4170	272	2	multicriteria	GPE
ejpam-4170	273	1	22(4):958–965	CARDINAL
ejpam-4170	273	2	2013	DATE
ejpam-4170	274	1	15	CARDINAL
ejpam-4170	274	2	ronald r yager	PERSON
ejpam-4170	275	1	pythagorean	ORG
ejpam-4170	276	1	119–136	CARDINAL
ejpam-4170	276	2	2016	DATE
ejpam-4170	277	1	16	CARDINAL
ejpam-4170	277	2	zadeh	ORG
ejpam-4170	278	1	8(3):338–353	CARDINAL
ejpam-4170	278	2	1965	DATE
ejpam-4170	279	1	17	CARDINAL
ejpam-4170	279	2	wenyi zeng	PERSON
ejpam-4170	279	3	deqing li	PERSON
ejpam-4170	279	4	qian yin.	PERSON
ejpam-4170	280	1	pythagorean	ORG
ejpam-4170	281	1	33(11):2236–2254, 2018	DATE