id	sid	eid	entity	type
ejpam-4768	1	1	european journal	ORG
ejpam-4768	2	1	16	CARDINAL
ejpam-4768	2	2	3	CARDINAL
ejpam-4768	2	3	2023	CARDINAL
ejpam-4768	2	4	1381	CARDINAL
ejpam-4768	3	1	new york	GPE
ejpam-4768	3	2	a. swaminathan1	PERSON
ejpam-4768	3	3	ozel2	ORG
ejpam-4768	3	4	1	CARDINAL
ejpam-4768	3	5	kumbakonam	GPE
ejpam-4768	3	6	tamil	GPE
ejpam-4768	3	7	002	CARDINAL
ejpam-4768	3	8	india	GPE
ejpam-4768	3	9	2	CARDINAL
ejpam-4768	3	10	abdulaziz university	PERSON
ejpam-4768	3	11	jeddah-21589	DATE
ejpam-4768	3	12	saudi arabia	GPE
ejpam-4768	3	13	3	CARDINAL
ejpam-4768	3	14	al-batin	PERSON
ejpam-4768	3	15	al-batin	PERSON
ejpam-4768	3	16	saudi arabia	GPE
ejpam-4768	7	1	2020	DATE
ejpam-4768	7	2	54a40	CARDINAL
ejpam-4768	7	3	03e72	CARDINAL
ejpam-4768	7	4	zadeh[11	ORG
ejpam-4768	7	5	many decades	DATE
ejpam-4768	8	1	1968	DATE
ejpam-4768	9	1	2010	DATE
ejpam-4768	10	1	deepak et	PERSON
ejpam-4768	11	1	al	PERSON
ejpam-4768	12	1	2	CARDINAL
ejpam-4768	15	1	section 2	LAW
ejpam-4768	16	1	section 3	LAW
ejpam-4768	17	1	section 4	LAW
ejpam-4768	20	1	a. swaminathan	PERSON
ejpam-4768	20	2	i. alshammari	PERSON
ejpam-4768	20	3	1381	CARDINAL
ejpam-4768	20	4	2023	CARDINAL
ejpam-4768	21	1	a. swaminathan	PERSON
ejpam-4768	22	1	j. pure	PERSON
ejpam-4768	22	2	16	CARDINAL
ejpam-4768	22	3	3	CARDINAL
ejpam-4768	22	4	2023	CARDINAL
ejpam-4768	22	5	1381-1388 1382	CARDINAL
ejpam-4768	22	6	hfmeo	GPE
ejpam-4768	22	7	hfts	GPE
ejpam-4768	23	1	2	CARDINAL
ejpam-4768	23	2	2.1	CARDINAL
ejpam-4768	24	1	4	CARDINAL
ejpam-4768	25	1	0	CARDINAL
ejpam-4768	25	2	1	CARDINAL
ejpam-4768	25	3	0	CARDINAL
ejpam-4768	25	4	1	CARDINAL
ejpam-4768	25	5	0	CARDINAL
ejpam-4768	25	6	1	CARDINAL
ejpam-4768	29	1	0	CARDINAL
ejpam-4768	29	2	1]),∀x	CARDINAL
ejpam-4768	29	3	x.	GPE
ejpam-4768	29	4	2.2	CARDINAL
ejpam-4768	30	1	5	CARDINAL
ejpam-4768	31	1	∈	ORG
ejpam-4768	33	1	⊂	GPE
ejpam-4768	36	1	x.	GPE
ejpam-4768	36	2	∈	ORG
ejpam-4768	37	1	2.3	CARDINAL
ejpam-4768	38	1	3	CARDINAL
ejpam-4768	38	2	two	CARDINAL
ejpam-4768	38	3	⊂	GPE
ejpam-4768	39	1	2.4	CARDINAL
ejpam-4768	40	1	4	CARDINAL
ejpam-4768	40	2	x.	ORG
ejpam-4768	41	1	0	CARDINAL
ejpam-4768	41	2	1]\h(x	CARDINAL
ejpam-4768	42	1	2.5	CARDINAL
ejpam-4768	43	1	5	CARDINAL
ejpam-4768	43	2	∈	PRODUCT
ejpam-4768	44	1	⊂	GPE
ejpam-4768	45	1	2.6	CARDINAL
ejpam-4768	46	1	9]a	CARDINAL
ejpam-4768	46	2	nonzero hfo	ORG
ejpam-4768	48	1	2.7	CARDINAL
ejpam-4768	49	1	9]a	CARDINAL
ejpam-4768	49	2	η of xis	ORG
ejpam-4768	49	3	η	ORG
ejpam-4768	49	4	η	GPE
ejpam-4768	49	5	2.8	CARDINAL
ejpam-4768	51	1	2.9	CARDINAL
ejpam-4768	52	1	φ	ORG
ejpam-4768	52	2	φ	ORG
ejpam-4768	53	1	2.10	CARDINAL
ejpam-4768	54	1	8	CARDINAL
ejpam-4768	54	2	fts	PRODUCT
ejpam-4768	54	3	hfmeo(resp.γ	CARDINAL
ejpam-4768	54	4	∃ λ	PERSON
ejpam-4768	54	5	two	CARDINAL
ejpam-4768	55	1	two	CARDINAL
ejpam-4768	56	1	a. swaminathan	PERSON
ejpam-4768	57	1	j. pure	PERSON
ejpam-4768	57	2	16	CARDINAL
ejpam-4768	57	3	3	CARDINAL
ejpam-4768	57	4	2023	CARDINAL
ejpam-4768	57	5	1381-1388	CARDINAL
ejpam-4768	57	6	1383	CARDINAL
ejpam-4768	57	7	2.1	CARDINAL
ejpam-4768	58	1	6	CARDINAL
ejpam-4768	58	2	nonzero hfo	ORG
ejpam-4768	58	3	x.	GPE
ejpam-4768	58	4	2.2	CARDINAL
ejpam-4768	59	1	6	CARDINAL
ejpam-4768	59	2	2.1	CARDINAL
ejpam-4768	63	1	∈	ORG
ejpam-4768	63	2	2.11	CARDINAL
ejpam-4768	64	1	two	CARDINAL
ejpam-4768	64	2	∈	ORG
ejpam-4768	64	3	∃	ORG
ejpam-4768	64	4	∈	ORG
ejpam-4768	67	1	∈	ORG
ejpam-4768	70	1	2.12	CARDINAL
ejpam-4768	71	1	2.3	CARDINAL
ejpam-4768	74	1	2.4	CARDINAL
ejpam-4768	78	1	letx	PERSON
ejpam-4768	80	1	1 ≤ i ≤ n	QUANTITY
ejpam-4768	82	1	h1−{xβ	PERSON
ejpam-4768	83	1	lemma 2.3.,{h1−{xβ	ORG
ejpam-4768	83	2	x.	ORG
ejpam-4768	83	3	2.5	CARDINAL
ejpam-4768	86	1	∈	ORG
ejpam-4768	86	2	uk	GPE
ejpam-4768	86	3	k ∈	PERSON
ejpam-4768	87	1	2.2	CARDINAL
ejpam-4768	87	2	uk	GPE
ejpam-4768	87	3	uk	GPE
ejpam-4768	87	4	k ∈	PERSON
ejpam-4768	87	5	hfmeo	GPE
ejpam-4768	88	1	∀ k ∈	PERSON
ejpam-4768	88	2	uk	GPE
ejpam-4768	89	1	a. swaminathan	PERSON
ejpam-4768	90	1	j. pure	PERSON
ejpam-4768	90	2	16	CARDINAL
ejpam-4768	90	3	3	CARDINAL
ejpam-4768	90	4	2023	CARDINAL
ejpam-4768	90	5	1381-1388	CARDINAL
ejpam-4768	90	6	vk|uk	LAW
ejpam-4768	90	7	∈	ORG
ejpam-4768	92	1	2.3	CARDINAL
ejpam-4768	92	2	2.13	CARDINAL
ejpam-4768	93	1	hfo s-refinement	PERSON
ejpam-4768	94	1	2.6	CARDINAL
ejpam-4768	96	1	2.5	CARDINAL
ejpam-4768	97	1	2.5	CARDINAL
ejpam-4768	97	2	∈	ORG
ejpam-4768	97	3	∈	ORG
ejpam-4768	98	1	lemma 2.1.	ORG
ejpam-4768	99	1	xα	CARDINAL
ejpam-4768	100	1	xα},v3	ORG
ejpam-4768	101	1	2.7	CARDINAL
ejpam-4768	102	1	0	CARDINAL
ejpam-4768	102	2	1	CARDINAL
ejpam-4768	102	3	1 4	DATE
ejpam-4768	102	4	0	CARDINAL
ejpam-4768	102	5	0	CARDINAL
ejpam-4768	102	6	1	CARDINAL
ejpam-4768	102	7	1 4	DATE
ejpam-4768	102	8	0	CARDINAL
ejpam-4768	102	9	14	CARDINAL
ejpam-4768	102	10	0	CARDINAL
ejpam-4768	102	11	1	CARDINAL
ejpam-4768	102	12	1 4	DATE
ejpam-4768	102	13	0	CARDINAL
ejpam-4768	102	14	14	CARDINAL
ejpam-4768	102	15	1 4	DATE
ejpam-4768	104	1	2.8	CARDINAL
ejpam-4768	104	2	3.4	CARDINAL
ejpam-4768	107	1	2.6	CARDINAL
ejpam-4768	108	1	2.7	CARDINAL
ejpam-4768	109	1	2.14	CARDINAL
ejpam-4768	110	1	x.	GPE
ejpam-4768	110	2	2.9	CARDINAL
ejpam-4768	113	1	s(y	PERSON
ejpam-4768	114	1	∈	ORG
ejpam-4768	115	1	∈	ORG
ejpam-4768	115	2	k ∈ z+	PERSON
ejpam-4768	116	1	∈	ORG
ejpam-4768	116	2	k ∈	PERSON
ejpam-4768	116	3	uk|uk ∈ s	ORG
ejpam-4768	116	4	k ∈ z+	PERSON
ejpam-4768	117	1	k ∈ z+	ORG
ejpam-4768	117	2	f−1(uk	ORG
ejpam-4768	120	1	2.15	CARDINAL
ejpam-4768	122	1	a. swaminathan	PERSON
ejpam-4768	123	1	j. pure	PERSON
ejpam-4768	123	2	16	CARDINAL
ejpam-4768	123	3	3	CARDINAL
ejpam-4768	123	4	2023	CARDINAL
ejpam-4768	123	5	1381-1388 1385	CARDINAL
ejpam-4768	123	6	2.10	CARDINAL
ejpam-4768	126	1	|wxα	LAW
ejpam-4768	127	1	2.3	CARDINAL
ejpam-4768	127	2	x.	GPE
ejpam-4768	127	3	∈	ORG
ejpam-4768	128	1	|ϱ|	DATE
ejpam-4768	130	1	n ∨	ORG
ejpam-4768	131	1	2.2	CARDINAL
ejpam-4768	132	1	2.16	CARDINAL
ejpam-4768	134	1	xα /∈	GPE
ejpam-4768	135	1	∈	ORG
ejpam-4768	135	2	2.11	CARDINAL
ejpam-4768	138	1	ω	ORG
ejpam-4768	138	2	∈	ORG
ejpam-4768	139	1	xα /∈	GPE
ejpam-4768	143	1	2.17	CARDINAL
ejpam-4768	144	1	η	GPE
ejpam-4768	144	2	η	ORG
ejpam-4768	144	3	2.12	CARDINAL
ejpam-4768	147	1	disjoint hfo	ORG
ejpam-4768	147	2	ω	ORG
ejpam-4768	148	1	ω	ORG
ejpam-4768	150	1	iii):suppose	ORG
ejpam-4768	150	2	ω	CARDINAL
ejpam-4768	151	1	− ω	ORG
ejpam-4768	153	1	ω ∨	ORG
ejpam-4768	154	1	ω,ϱ	NORP
ejpam-4768	155	1	a. swaminathan	PERSON
ejpam-4768	156	1	j. pure	PERSON
ejpam-4768	156	2	16	CARDINAL
ejpam-4768	156	3	3	CARDINAL
ejpam-4768	156	4	2023	CARDINAL
ejpam-4768	156	5	1381-1388 1386	CARDINAL
ejpam-4768	157	1	2.13	CARDINAL
ejpam-4768	164	1	2.3	CARDINAL
ejpam-4768	167	1	λ1,λ2	GPE
ejpam-4768	168	1	k ∈	ORG
ejpam-4768	168	2	xγ ∈	PERSON
ejpam-4768	168	3	k ∈ z+	PERSON
ejpam-4768	170	1	∈	ORG
ejpam-4768	170	2	2.14	CARDINAL
ejpam-4768	172	1	2.13	CARDINAL
ejpam-4768	173	1	∈	ORG
ejpam-4768	173	2	∃ g	PERSON
ejpam-4768	173	3	∈	ORG
ejpam-4768	174	1	∈	ORG
ejpam-4768	174	2	2.3	CARDINAL
ejpam-4768	174	3	4.3	CARDINAL
ejpam-4768	174	4	two	CARDINAL
ejpam-4768	175	1	2.15	CARDINAL
ejpam-4768	175	2	x.	GPE
ejpam-4768	184	1	2.18	CARDINAL
ejpam-4768	186	1	2.16	CARDINAL
ejpam-4768	189	1	two	CARDINAL
ejpam-4768	189	2	1387	CARDINAL
ejpam-4768	189	3	x.	GPE
ejpam-4768	189	4	∃ η,µ	ORG
ejpam-4768	190	1	y ∧ η	ORG
ejpam-4768	191	1	2.17	CARDINAL
ejpam-4768	193	1	2.15	CARDINAL
ejpam-4768	193	2	2.16	CARDINAL
ejpam-4768	201	1	1	CARDINAL
ejpam-4768	201	2	c. l. chang	PERSON
ejpam-4768	202	1	24(1968),182	CARDINAL
ejpam-4768	203	1	2	CARDINAL
ejpam-4768	203	2	d. deepak	PERSON
ejpam-4768	203	3	b. mathew	PERSON
ejpam-4768	203	4	h.a. garg	ORG
ejpam-4768	203	5	topological	ORG
ejpam-4768	203	6	j. intell.fuzzy	GPE
ejpam-4768	204	1	3	CARDINAL
ejpam-4768	204	2	s. j. john	PERSON
ejpam-4768	204	3	ann	PERSON
ejpam-4768	206	1	4	CARDINAL
ejpam-4768	206	2	j. kim	PERSON
ejpam-4768	206	3	y. b. jun	PERSON
ejpam-4768	206	4	p. k.	PERSON
ejpam-4768	207	1	j. g	PERSON
ejpam-4768	208	1	lee	PERSON
ejpam-4768	208	2	k. hur	PERSON
ejpam-4768	210	1	5	CARDINAL
ejpam-4768	210	2	j. g. lee	PERSON
ejpam-4768	210	3	k. hur	PERSON
ejpam-4768	211	1	6	CARDINAL
ejpam-4768	212	1	7	CARDINAL
ejpam-4768	212	2	a. swaminathan	PERSON
ejpam-4768	212	3	s. sivaraja	PERSON
ejpam-4768	213	1	8	CARDINAL
ejpam-4768	213	2	a. swaminathan	PERSON
ejpam-4768	213	3	s. sivaraja	PERSON
ejpam-4768	213	4	j. appl	PERSON
ejpam-4768	216	1	no.3-4	DATE
ejpam-4768	217	1	141-150	CARDINAL
ejpam-4768	217	2	1388	DATE
ejpam-4768	217	3	9	CARDINAL
ejpam-4768	217	4	a. swaminathan	PERSON
ejpam-4768	217	5	j. appl	PERSON
ejpam-4768	219	1	5(2023),1-2	CARDINAL
ejpam-4768	219	2	121	CARDINAL
ejpam-4768	220	1	10	CARDINAL
ejpam-4768	222	1	j. intel	PERSON
ejpam-4768	223	1	2010,25,529-539	CARDINAL
ejpam-4768	224	1	11	CARDINAL
ejpam-4768	224	2	l. a. zadeh	PERSON
ejpam-4768	224	3	control,8	GPE
ejpam-4768	224	4	1965	DATE
ejpam-4768	224	5	338	CARDINAL