id	sid	eid	entity	type
ejpam-5832	1	1	european journal	ORG
ejpam-5832	1	2	2025	DATE
ejpam-5832	1	3	18	CARDINAL
ejpam-5832	1	4	3	CARDINAL
ejpam-5832	1	5	5832	CARDINAL
ejpam-5832	1	6	1307-5543	DATE
ejpam-5832	1	7	new york	GPE
ejpam-5832	1	8	theorems asima	PERSON
ejpam-5832	1	9	1 preparatory year	DATE
ejpam-5832	1	10	faisal university	PERSON
ejpam-5832	1	11	al-ahsa 31982	ORG
ejpam-5832	1	12	saudi arabia	GPE
ejpam-5832	1	13	2	CARDINAL
ejpam-5832	1	14	faisal university	PERSON
ejpam-5832	1	15	al-ahsa 31982	ORG
ejpam-5832	1	16	saudi arabia	GPE
ejpam-5832	4	1	qrung	PERSON
ejpam-5832	9	1	three	CARDINAL
ejpam-5832	9	2	theorems	ORG
ejpam-5832	10	1	2020	DATE
ejpam-5832	10	2	03e72	CARDINAL
ejpam-5832	10	3	20n25	CARDINAL
ejpam-5832	10	4	1	CARDINAL
ejpam-5832	10	5	1.1	CARDINAL
ejpam-5832	12	1	1	CARDINAL
ejpam-5832	14	1	0	CARDINAL
ejpam-5832	14	2	1	CARDINAL
ejpam-5832	15	1	∈	ORG
ejpam-5832	17	1	0	CARDINAL
ejpam-5832	17	2	1	CARDINAL
ejpam-5832	18	1	a. razzaque	PERSON
ejpam-5832	18	2	1	CARDINAL
ejpam-5832	18	3	2025	CARDINAL
ejpam-5832	20	1	j. pure	PERSON
ejpam-5832	20	2	18	CARDINAL
ejpam-5832	20	3	3	CARDINAL
ejpam-5832	20	4	2025	CARDINAL
ejpam-5832	20	5	5832 2 of 21	DATE
ejpam-5832	20	6	1	CARDINAL
ejpam-5832	20	7	∈	ORG
ejpam-5832	20	8	0	CARDINAL
ejpam-5832	25	1	1986	DATE
ejpam-5832	25	2	atanassov	ORG
ejpam-5832	25	3	2	CARDINAL
ejpam-5832	26	1	ifs	ORG
ejpam-5832	27	1	∈	ORG
ejpam-5832	27	2	0	CARDINAL
ejpam-5832	27	3	1	CARDINAL
ejpam-5832	27	4	0	CARDINAL
ejpam-5832	27	5	1	CARDINAL
ejpam-5832	27	6	≤ 1	CARDINAL
ejpam-5832	28	1	3–6	CARDINAL
ejpam-5832	29	1	2013	DATE
ejpam-5832	31	1	∈	ORG
ejpam-5832	31	2	0	CARDINAL
ejpam-5832	31	3	1	CARDINAL
ejpam-5832	31	4	0	CARDINAL
ejpam-5832	31	5	1	CARDINAL
ejpam-5832	32	1	2 +	CARDINAL
ejpam-5832	32	2	2 ≤ 1	QUANTITY
ejpam-5832	35	1	0.85	CARDINAL
ejpam-5832	35	2	0.65	CARDINAL
ejpam-5832	36	1	0.65)2	CARDINAL
ejpam-5832	36	2	1	CARDINAL
ejpam-5832	39	1	12	CARDINAL
ejpam-5832	42	1	∈	ORG
ejpam-5832	42	2	0	CARDINAL
ejpam-5832	42	3	1	CARDINAL
ejpam-5832	42	4	0	CARDINAL
ejpam-5832	42	5	1	CARDINAL
ejpam-5832	45	1	∈	ORG
ejpam-5832	46	1	13–15	CARDINAL
ejpam-5832	47	1	1.2	CARDINAL
ejpam-5832	47	2	rosenfeld	PERSON
ejpam-5832	48	1	16	CARDINAL
ejpam-5832	49	1	fss	ORG
ejpam-5832	50	1	das	ORG
ejpam-5832	50	2	17	CARDINAL
ejpam-5832	52	1	liu	PERSON
ejpam-5832	53	1	18	CARDINAL
ejpam-5832	54	1	19	CARDINAL
ejpam-5832	54	2	lagrange	GPE
ejpam-5832	54	3	mukherjee	PERSON
ejpam-5832	55	1	20	CARDINAL
ejpam-5832	56	1	21	CARDINAL
ejpam-5832	56	2	fss	ORG
ejpam-5832	57	1	22–24	CARDINAL
ejpam-5832	58	1	j. pure	PERSON
ejpam-5832	58	2	18	CARDINAL
ejpam-5832	58	3	3	CARDINAL
ejpam-5832	58	4	2025	CARDINAL
ejpam-5832	58	5	5832 3	DATE
ejpam-5832	59	1	biswas	PERSON
ejpam-5832	60	1	25	CARDINAL
ejpam-5832	61	1	26	CARDINAL
ejpam-5832	62	1	27	CARDINAL
ejpam-5832	63	1	first	ORDINAL
ejpam-5832	64	1	28	CARDINAL
ejpam-5832	65	1	alharbi	ORG
ejpam-5832	66	1	29	CARDINAL
ejpam-5832	66	2	η	GPE
ejpam-5832	68	1	bhunia et al	PERSON
ejpam-5832	69	1	33	CARDINAL
ejpam-5832	69	2	pythagorean	ORG
ejpam-5832	72	1	34	CARDINAL
ejpam-5832	73	1	35	CARDINAL
ejpam-5832	74	1	addis et al	GPE
ejpam-5832	75	1	36	CARDINAL
ejpam-5832	76	1	fsg	ORG
ejpam-5832	84	1	three	CARDINAL
ejpam-5832	85	1	second	ORDINAL
ejpam-5832	86	1	third	ORDINAL
ejpam-5832	88	1	section 4	LAW
ejpam-5832	89	1	fifth	ORDINAL
ejpam-5832	92	1	2	CARDINAL
ejpam-5832	92	2	1	CARDINAL
ejpam-5832	93	1	16	CARDINAL
ejpam-5832	97	1	∈	ORG
ejpam-5832	98	1	j. pure	PERSON
ejpam-5832	98	2	18	CARDINAL
ejpam-5832	98	3	3	CARDINAL
ejpam-5832	98	4	2025	CARDINAL
ejpam-5832	98	5	5832 4	DATE
ejpam-5832	98	6	∈	ORG
ejpam-5832	99	1	−1	DATE
ejpam-5832	99	2	∈	ORG
ejpam-5832	100	1	2	CARDINAL
ejpam-5832	101	1	25	CARDINAL
ejpam-5832	102	1	∈	ORG
ejpam-5832	103	1	∈	ORG
ejpam-5832	104	1	−1	DATE
ejpam-5832	104	2	−1	DATE
ejpam-5832	104	3	∈	ORG
ejpam-5832	105	1	3	CARDINAL
ejpam-5832	106	1	33	CARDINAL
ejpam-5832	107	1	∈	ORG
ejpam-5832	107	2	2	CARDINAL
ejpam-5832	107	3	2 ≤	MONEY
ejpam-5832	107	4	∈	ORG
ejpam-5832	108	1	2	CARDINAL
ejpam-5832	108	2	2	CARDINAL
ejpam-5832	108	3	∈	ORG
ejpam-5832	109	1	4	CARDINAL
ejpam-5832	110	1	35	CARDINAL
ejpam-5832	110	2	∈	ORG
ejpam-5832	112	1	min{(µq(ϵ1))q	ORG
ejpam-5832	113	1	∈	ORG
ejpam-5832	114	1	−1))q ≤	MONEY
ejpam-5832	115	1	∈	ORG
ejpam-5832	116	1	1	CARDINAL
ejpam-5832	117	1	35	CARDINAL
ejpam-5832	117	2	µq(ϵ1ϵ	ORG
ejpam-5832	118	1	min{(µq(ϵ1))q	ORG
ejpam-5832	118	2	νq(ϵ1ϵ	ORG
ejpam-5832	119	1	∈	ORG
ejpam-5832	119	2	2	CARDINAL
ejpam-5832	120	1	35	CARDINAL
ejpam-5832	120	2	two	CARDINAL
ejpam-5832	122	1	35	CARDINAL
ejpam-5832	124	1	5	CARDINAL
ejpam-5832	125	1	35	CARDINAL
ejpam-5832	126	1	∈	ORG
ejpam-5832	127	1	0	CARDINAL
ejpam-5832	127	2	1	CARDINAL
ejpam-5832	127	3	+ τ	QUANTITY
ejpam-5832	128	1	∈	ORG
ejpam-5832	130	1	36	CARDINAL
ejpam-5832	131	1	3	CARDINAL
ejpam-5832	132	1	35	CARDINAL
ejpam-5832	132	2	two	CARDINAL
ejpam-5832	133	1	⊆	CARDINAL
ejpam-5832	134	1	⊆	CARDINAL
ejpam-5832	135	1	0	CARDINAL
ejpam-5832	135	2	1	CARDINAL
ejpam-5832	135	3	+ τ	QUANTITY
ejpam-5832	135	4	a. razzaque	PERSON
ejpam-5832	136	1	j. pure	PERSON
ejpam-5832	136	2	18	CARDINAL
ejpam-5832	136	3	3	CARDINAL
ejpam-5832	136	4	2025	CARDINAL
ejpam-5832	136	5	5832 5	DATE
ejpam-5832	136	6	21	CARDINAL
ejpam-5832	136	7	4	CARDINAL
ejpam-5832	137	1	35	CARDINAL
ejpam-5832	137	2	⇔ q(θ	PERSON
ejpam-5832	138	1	0	CARDINAL
ejpam-5832	141	1	1	CARDINAL
ejpam-5832	142	1	36	CARDINAL
ejpam-5832	143	1	6	CARDINAL
ejpam-5832	144	1	35	CARDINAL
ejpam-5832	145	1	∈	ORG
ejpam-5832	146	1	µλq(ϵ	PRODUCT
ejpam-5832	146	2	νλq(ϵ	GPE
ejpam-5832	151	1	µqλ(ϵ))q	NORP
ejpam-5832	151	2	µq(ϵλ −1))q	GPE
ejpam-5832	152	1	qrofrc	ORG
ejpam-5832	153	1	35	CARDINAL
ejpam-5832	154	1	7	CARDINAL
ejpam-5832	155	1	35	CARDINAL
ejpam-5832	156	1	∈	ORG
ejpam-5832	156	2	5	CARDINAL
ejpam-5832	157	1	35	CARDINAL
ejpam-5832	158	1	∈	ORG
ejpam-5832	162	1	µq(ϵ2ϵ1	ORG
ejpam-5832	164	1	∈	ORG
ejpam-5832	165	1	6	CARDINAL
ejpam-5832	166	1	35	CARDINAL
ejpam-5832	167	1	∈	ORG
ejpam-5832	172	1	3.	CARDINAL
ejpam-5832	172	2	4 and 5	DATE
ejpam-5832	175	1	1	CARDINAL
ejpam-5832	176	1	αβ)1	CARDINAL
ejpam-5832	176	2	1⟩	CARDINAL
ejpam-5832	177	1	120	CARDINAL
ejpam-5832	178	1	six	CARDINAL
ejpam-5832	179	1	3	CARDINAL
ejpam-5832	179	2	a. razzaque	PERSON
ejpam-5832	180	1	j. pure	PERSON
ejpam-5832	180	2	18	CARDINAL
ejpam-5832	180	3	3	CARDINAL
ejpam-5832	180	4	2025	CARDINAL
ejpam-5832	180	5	5832 6	DATE
ejpam-5832	180	6	0.85	CARDINAL
ejpam-5832	180	7	0.65	CARDINAL
ejpam-5832	180	8	0.85	CARDINAL
ejpam-5832	180	9	0.65	CARDINAL
ejpam-5832	180	10	0.85	CARDINAL
ejpam-5832	180	11	0.65	CARDINAL
ejpam-5832	180	12	0.80	CARDINAL
ejpam-5832	180	13	0.75	CARDINAL
ejpam-5832	180	14	0.80	CARDINAL
ejpam-5832	180	15	0.75	CARDINAL
ejpam-5832	180	16	0.80	CARDINAL
ejpam-5832	180	17	0.75	CARDINAL
ejpam-5832	181	1	∈	ORG
ejpam-5832	182	1	νq(e	CARDINAL
ejpam-5832	182	2	νq(e −1β	PERSON
ejpam-5832	182	3	νq(e	CARDINAL
ejpam-5832	182	4	µq(e −1αβ	PERSON
ejpam-5832	182	5	νq(e −1αβ	PERSON
ejpam-5832	182	6	νq(e	ORG
ejpam-5832	183	1	0.85	CARDINAL
ejpam-5832	183	2	0.65	CARDINAL
ejpam-5832	183	3	0.85	CARDINAL
ejpam-5832	183	4	0.65	CARDINAL
ejpam-5832	183	5	0.85	CARDINAL
ejpam-5832	183	6	0.65	CARDINAL
ejpam-5832	183	7	0.80	CARDINAL
ejpam-5832	183	8	0.75	CARDINAL
ejpam-5832	183	9	0.80	CARDINAL
ejpam-5832	183	10	0.75	CARDINAL
ejpam-5832	183	11	0.80	CARDINAL
ejpam-5832	183	12	0.75	CARDINAL
ejpam-5832	183	13	∈	ORG
ejpam-5832	183	14	νq(β −1αβ	PERSON
ejpam-5832	183	15	νq(β	ORG
ejpam-5832	184	1	2	CARDINAL
ejpam-5832	184	2	2	CARDINAL
ejpam-5832	184	3	νq(e	ORG
ejpam-5832	184	4	νq(β	GPE
ejpam-5832	184	5	2	CARDINAL
ejpam-5832	184	6	2	CARDINAL
ejpam-5832	184	7	0.85	CARDINAL
ejpam-5832	184	8	0.65	CARDINAL
ejpam-5832	184	9	0.85	CARDINAL
ejpam-5832	184	10	0.65	CARDINAL
ejpam-5832	184	11	0.85	CARDINAL
ejpam-5832	184	12	0.65	CARDINAL
ejpam-5832	184	13	0.80	CARDINAL
ejpam-5832	184	14	0.75	CARDINAL
ejpam-5832	184	15	0.80	CARDINAL
ejpam-5832	184	16	0.75	CARDINAL
ejpam-5832	184	17	0.80	CARDINAL
ejpam-5832	184	18	0.75	CARDINAL
ejpam-5832	184	19	β2q	ORG
ejpam-5832	184	20	νq((β 2)−1e	PERSON
ejpam-5832	184	21	νq((β 2)−1β	PERSON
ejpam-5832	184	22	νq((β 2)−1β2	PERSON
ejpam-5832	184	23	νq((β	PERSON
ejpam-5832	184	24	νq((β 2)−1αβ	PERSON
ejpam-5832	184	25	νq((β 2)−1αβ2	PERSON
ejpam-5832	185	1	νq(β	GPE
ejpam-5832	185	2	2	CARDINAL
ejpam-5832	185	3	2	CARDINAL
ejpam-5832	185	4	νq(e	ORG
ejpam-5832	185	5	2	CARDINAL
ejpam-5832	185	6	2	CARDINAL
ejpam-5832	185	7	0.85	CARDINAL
ejpam-5832	185	8	0.65	CARDINAL
ejpam-5832	185	9	0.85	CARDINAL
ejpam-5832	185	10	0.65	CARDINAL
ejpam-5832	185	11	0.85	CARDINAL
ejpam-5832	185	12	0.65	CARDINAL
ejpam-5832	185	13	0.80	CARDINAL
ejpam-5832	185	14	0.75	CARDINAL
ejpam-5832	185	15	0.80	CARDINAL
ejpam-5832	185	16	0.75	CARDINAL
ejpam-5832	185	17	0.80	CARDINAL
ejpam-5832	185	18	0.75	CARDINAL
ejpam-5832	186	1	2	CARDINAL
ejpam-5832	186	2	2	CARDINAL
ejpam-5832	186	3	νq(e	ORG
ejpam-5832	186	4	νq(β	GPE
ejpam-5832	186	5	2	CARDINAL
ejpam-5832	186	6	2	CARDINAL
ejpam-5832	186	7	0.75	CARDINAL
ejpam-5832	186	8	0.80	CARDINAL
ejpam-5832	186	9	0.75	CARDINAL
ejpam-5832	186	10	0.80	CARDINAL
ejpam-5832	186	11	0.75	CARDINAL
ejpam-5832	186	12	0.85	CARDINAL
ejpam-5832	186	13	0.65	CARDINAL
ejpam-5832	186	14	0.85	CARDINAL
ejpam-5832	186	15	0.65	CARDINAL
ejpam-5832	186	16	0.85	CARDINAL
ejpam-5832	186	17	0.65	CARDINAL
ejpam-5832	187	1	j. pure	PERSON
ejpam-5832	187	2	18	CARDINAL
ejpam-5832	187	3	3	CARDINAL
ejpam-5832	187	4	2025	CARDINAL
ejpam-5832	187	5	5832 7 of 21	DATE
ejpam-5832	187	6	∈	ORG
ejpam-5832	188	1	2	CARDINAL
ejpam-5832	188	2	2	CARDINAL
ejpam-5832	188	3	2	CARDINAL
ejpam-5832	188	4	2	CARDINAL
ejpam-5832	188	5	νq(e	ORG
ejpam-5832	188	6	νq(β	GPE
ejpam-5832	188	7	0.75	CARDINAL
ejpam-5832	188	8	0.80	CARDINAL
ejpam-5832	188	9	0.75	CARDINAL
ejpam-5832	188	10	0.80	CARDINAL
ejpam-5832	188	11	0.75	CARDINAL
ejpam-5832	188	12	0.85	CARDINAL
ejpam-5832	188	13	0.65	CARDINAL
ejpam-5832	188	14	0.85	CARDINAL
ejpam-5832	188	15	0.65	CARDINAL
ejpam-5832	188	16	0.85	CARDINAL
ejpam-5832	188	17	0.65	CARDINAL
ejpam-5832	188	18	αβ2q	ORG
ejpam-5832	188	19		ORG
ejpam-5832	188	20	2)−1β	CARDINAL
ejpam-5832	188	21	2)−1β2	CARDINAL
ejpam-5832	188	22	2)−1αβ	CARDINAL
ejpam-5832	188	23	2)−1αβ2	CARDINAL
ejpam-5832	189	1		ORG
ejpam-5832	189	2	2	CARDINAL
ejpam-5832	189	3	2	CARDINAL
ejpam-5832	189	4	νq(β	GPE
ejpam-5832	189	5	νq(β	GPE
ejpam-5832	189	6	νq(e	ORG
ejpam-5832	190	1	0.75	CARDINAL
ejpam-5832	190	2	0.80	CARDINAL
ejpam-5832	190	3	0.75	CARDINAL
ejpam-5832	190	4	0.80	CARDINAL
ejpam-5832	190	5	0.75	CARDINAL
ejpam-5832	190	6	0.85	CARDINAL
ejpam-5832	190	7	0.65	CARDINAL
ejpam-5832	190	8	0.85	CARDINAL
ejpam-5832	190	9	0.65	CARDINAL
ejpam-5832	190	10	0.85	CARDINAL
ejpam-5832	190	11	0.65	CARDINAL
ejpam-5832	190	12	two	CARDINAL
ejpam-5832	191	1	8	DATE
ejpam-5832	194	1	∈	ORG
ejpam-5832	195	1	2	CARDINAL
ejpam-5832	195	2	2	CARDINAL
ejpam-5832	196	1	2	CARDINAL
ejpam-5832	196	2	νq(e	ORG
ejpam-5832	196	3	2	CARDINAL
ejpam-5832	196	4	9	DATE
ejpam-5832	198	1	∈	ORG
ejpam-5832	199	1	q∗	ORG
ejpam-5832	200	1	∈	ORG
ejpam-5832	201	1	2	CARDINAL
ejpam-5832	201	2	0	CARDINAL
ejpam-5832	203	1	2	CARDINAL
ejpam-5832	207	1	∈	ORG
ejpam-5832	208	1	q∗λ	CARDINAL
ejpam-5832	209	1	j. pure	PERSON
ejpam-5832	209	2	18	CARDINAL
ejpam-5832	209	3	3	CARDINAL
ejpam-5832	209	4	2025	CARDINAL
ejpam-5832	209	5	5832 8	DATE
ejpam-5832	211	1	∈	ORG
ejpam-5832	212	1	∈	ORG
ejpam-5832	214	1	λ −1κ ∈ q∗	ORG
ejpam-5832	214	2	κ−1λ ∈ q∗.	PERSON
ejpam-5832	214	3	∈	ORG
ejpam-5832	215	1	∈	ORG
ejpam-5832	215	2	∈	ORG
ejpam-5832	217	1	1	CARDINAL
ejpam-5832	220	1	−1	DATE
ejpam-5832	222	1	∈	ORG
ejpam-5832	226	1	−1	DATE
ejpam-5832	228	1	∈	ORG
ejpam-5832	229	1	∈	ORG
ejpam-5832	231	1	−1	DATE
ejpam-5832	231	2	q.	PERSON
ejpam-5832	231	3	( µq(ϵλϵ −1	CARDINAL
ejpam-5832	234	1	−1	DATE
ejpam-5832	236	1	6	CARDINAL
ejpam-5832	237	1	8	CARDINAL
ejpam-5832	239	1	∈	ORG
ejpam-5832	240	1	⇔ q(θ	PERSON
ejpam-5832	241	1	0	CARDINAL
ejpam-5832	244	1	1	CARDINAL
ejpam-5832	245	1	a. razzaque	PERSON
ejpam-5832	246	1	j. pure	PERSON
ejpam-5832	246	2	18	CARDINAL
ejpam-5832	246	3	3	CARDINAL
ejpam-5832	246	4	2025	CARDINAL
ejpam-5832	246	5	5832 9	DATE
ejpam-5832	247	1	35	CARDINAL
ejpam-5832	248	1	0	CARDINAL
ejpam-5832	251	1	1	CARDINAL
ejpam-5832	253	1	0	CARDINAL
ejpam-5832	256	1	1	CARDINAL
ejpam-5832	257	1	4	CARDINAL
ejpam-5832	258	1	∈	ORG
ejpam-5832	262	1	−1	DATE
ejpam-5832	264	1	lemma 1	ORG
ejpam-5832	265	1	2	CARDINAL
ejpam-5832	267	1	∈	ORG
ejpam-5832	270	1	9	CARDINAL
ejpam-5832	272	1	∈	ORG
ejpam-5832	277	1	∈	ORG
ejpam-5832	282	1	−1	DATE
ejpam-5832	282	2	∈	ORG
ejpam-5832	286	1	−1	DATE
ejpam-5832	287	1	1	CARDINAL
ejpam-5832	287	2	∈	ORG
ejpam-5832	287	3	∈	ORG
ejpam-5832	289	1	9	CARDINAL
ejpam-5832	290	1	2	CARDINAL
ejpam-5832	290	2	1	DATE
ejpam-5832	290	3	0	DATE
ejpam-5832	290	4	0.9	CARDINAL
ejpam-5832	290	5	0.7	CARDINAL
ejpam-5832	290	6	0.8	CARDINAL
ejpam-5832	290	7	0.7	CARDINAL
ejpam-5832	290	8	0.8	CARDINAL
ejpam-5832	290	9	0.7	CARDINAL
ejpam-5832	290	10	0.8	CARDINAL
ejpam-5832	290	11	0.7	CARDINAL
ejpam-5832	290	12	0.8	CARDINAL
ejpam-5832	293	1	0.7 ̸= 0.9	QUANTITY
ejpam-5832	294	1	a. razzaque	PERSON
ejpam-5832	295	1	j. pure	PERSON
ejpam-5832	295	2	18	CARDINAL
ejpam-5832	295	3	3	CARDINAL
ejpam-5832	295	4	2025	CARDINAL
ejpam-5832	295	5	5832 10	DATE
ejpam-5832	298	1	10	CARDINAL
ejpam-5832	300	1	two	CARDINAL
ejpam-5832	300	2	⊆	CARDINAL
ejpam-5832	302	1	min{(µq(λ))q	ORG
ejpam-5832	302	2	−1	DATE
ejpam-5832	303	1	∈	ORG
ejpam-5832	305	1	10	CARDINAL
ejpam-5832	308	1	∗.	PERSON
ejpam-5832	311	1	0	CARDINAL
ejpam-5832	314	1	1	CARDINAL
ejpam-5832	314	2	min{(µq(λ))q	ORG
ejpam-5832	314	3	0	CARDINAL
ejpam-5832	314	4	1	CARDINAL
ejpam-5832	315	1	( µq(ϵλϵ −1	CARDINAL
ejpam-5832	317	1	min{(µq(λ))q	ORG
ejpam-5832	317	2	0	CARDINAL
ejpam-5832	317	3	−1	DATE
ejpam-5832	317	4	1	CARDINAL
ejpam-5832	317	5	11	CARDINAL
ejpam-5832	317	6	⊆	CARDINAL
ejpam-5832	327	1	νq(λϵλλ −1	DATE
ejpam-5832	334	1	min{(µq(λ))q	ORG
ejpam-5832	334	2	−1	DATE
ejpam-5832	335	1	max	PERSON
ejpam-5832	337	1	12	CARDINAL
ejpam-5832	339	1	⇔ q(θ	PERSON
ejpam-5832	339	2	p(θ	PERSON
ejpam-5832	340	1	0	CARDINAL
ejpam-5832	343	1	1	CARDINAL
ejpam-5832	345	1	θ ∈	ORG
ejpam-5832	346	1	0	CARDINAL
ejpam-5832	347	1	νq(e	ORG
ejpam-5832	347	2	1	CARDINAL
ejpam-5832	347	3	3	CARDINAL
ejpam-5832	347	4	4	CARDINAL
ejpam-5832	347	5	p(θ	PERSON
ejpam-5832	353	1	min{(µq(λ))q	ORG
ejpam-5832	353	2	≥ θ and a. razzaque / eur	ORG
ejpam-5832	354	1	j. pure	PERSON
ejpam-5832	354	2	18	CARDINAL
ejpam-5832	354	3	3	CARDINAL
ejpam-5832	354	4	2025	CARDINAL
ejpam-5832	354	5	5832 11	DATE
ejpam-5832	354	6	21	CARDINAL
ejpam-5832	354	7	−1	DATE
ejpam-5832	356	1	p(θ	PERSON
ejpam-5832	357	1	p(θ	PERSON
ejpam-5832	358	1	0	CARDINAL
ejpam-5832	359	1	νq(e	ORG
ejpam-5832	359	2	1	CARDINAL
ejpam-5832	360	1	∈	ORG
ejpam-5832	365	1	four	CARDINAL
ejpam-5832	365	2	γ ≤ α	FAC
ejpam-5832	366	1	λ ∈ q(α	ORG
ejpam-5832	370	1	−1	DATE
ejpam-5832	371	1	λ ∈ q(α	ORG
ejpam-5832	375	1	−1	DATE
ejpam-5832	379	1	13	CARDINAL
ejpam-5832	384	1	λ ∈ q∗	ORG
ejpam-5832	386	1	−1))q	ORG
ejpam-5832	387	1	νq(e	ORG
ejpam-5832	388	1	q∗ ⊴ p∗. a. razzaque / eur	ORG
ejpam-5832	389	1	j. pure	PERSON
ejpam-5832	389	2	18	CARDINAL
ejpam-5832	389	3	3	CARDINAL
ejpam-5832	389	4	2025	CARDINAL
ejpam-5832	389	5	5832 12	DATE
ejpam-5832	389	6	21	CARDINAL
ejpam-5832	389	7	14	DATE
ejpam-5832	393	1	2	CARDINAL
ejpam-5832	393	2	q∩p ⊆	ORG
ejpam-5832	394	1	∈	ORG
ejpam-5832	395	1	( µq(ϵλϵ −1	CARDINAL
ejpam-5832	396	1	min{(µq(λ))q	ORG
ejpam-5832	400	1	∈	ORG
ejpam-5832	401	1	νq∩p	WORK_OF_ART
ejpam-5832	403	1	∈	ORG
ejpam-5832	405	1	15	CARDINAL
ejpam-5832	411	1	⊆	CARDINAL
ejpam-5832	412	1	∈	ORG
ejpam-5832	413	1	{	PERSON
ejpam-5832	413	2	µ(q)(ϵλϵ−1	WORK_OF_ART
ejpam-5832	415	1	νq∩p	WORK_OF_ART
ejpam-5832	417	1	16	CARDINAL
ejpam-5832	418	1	w	LANGUAGE
ejpam-5832	419	1	α(q	PERSON
ejpam-5832	419	2	α(p	PERSON
ejpam-5832	421	1	w	LANGUAGE
ejpam-5832	422	1	α(q	PERSON
ejpam-5832	422	2	α(p	PERSON
ejpam-5832	423	1	α(z	WORK_OF_ART
ejpam-5832	425	1	α(k	PERSON
ejpam-5832	428	1	α(k	PERSON
ejpam-5832	428	2	j ∈	PERSON
ejpam-5832	429	1	k ∈	PERSON
ejpam-5832	429	2	α(k	PERSON
ejpam-5832	432	1	j. pure	PERSON
ejpam-5832	432	2	18	CARDINAL
ejpam-5832	432	3	3	CARDINAL
ejpam-5832	432	4	2025	CARDINAL
ejpam-5832	432	5	5832 13	DATE
ejpam-5832	433	1	max	PERSON
ejpam-5832	434	1	α(q	PERSON
ejpam-5832	434	2	α(p	PERSON
ejpam-5832	435	1	17	CARDINAL
ejpam-5832	437	1	w	GPE
ejpam-5832	437	2	w	LANGUAGE
ejpam-5832	442	1	⊆	CARDINAL
ejpam-5832	446	1	α(λ	GPE
ejpam-5832	446	2	α(ϵ	ORG
ejpam-5832	446	3	−1	DATE
ejpam-5832	448	1	να−1(q)(ϵλϵ	DATE
ejpam-5832	451	1	5	CARDINAL
ejpam-5832	453	1	isomorphisms	ORG
ejpam-5832	454	1	11	DATE
ejpam-5832	455	1	w	ORG
ejpam-5832	457	1	≈	CARDINAL
ejpam-5832	458	1	12	CARDINAL
ejpam-5832	459	1	w	ORG
ejpam-5832	460	1	→w	ORG
ejpam-5832	462	1	13	DATE
ejpam-5832	464	1	t ∈ ϵu	PERSON
ejpam-5832	467	1	18	CARDINAL
ejpam-5832	468	1	a. razzaque	PERSON
ejpam-5832	469	1	j. pure	PERSON
ejpam-5832	469	2	18	CARDINAL
ejpam-5832	469	3	3	CARDINAL
ejpam-5832	469	4	2025	CARDINAL
ejpam-5832	469	5	5832 14	DATE
ejpam-5832	470	1	µq′(ϵu)−1	ORG
ejpam-5832	472	1	t ∈	ORG
ejpam-5832	474	1	νq′(ϵu)−1	ORG
ejpam-5832	477	1	ϵ2u	CARDINAL
ejpam-5832	479	1	∈	ORG
ejpam-5832	481	1	∈	ORG
ejpam-5832	481	2	max{min((µq(λ	CARDINAL
ejpam-5832	484	1	∈	ORG
ejpam-5832	484	2	∈	ORG
ejpam-5832	484	3	∈	ORG
ejpam-5832	485	1	max	PERSON
ejpam-5832	486	1	q′	PERSON
ejpam-5832	487	1	1	CARDINAL
ejpam-5832	489	1	two	CARDINAL
ejpam-5832	489	2	q.	PERSON
ejpam-5832	489	3	13	CARDINAL
ejpam-5832	489	4	q∗	GPE
ejpam-5832	491	1	∈	ORG
ejpam-5832	492	1	∈	ORG
ejpam-5832	492	2	q′′	GPE
ejpam-5832	492	3	q∗.	PERSON
ejpam-5832	492	4	13	CARDINAL
ejpam-5832	492	5	18	CARDINAL
ejpam-5832	492	6	q′′	GPE
ejpam-5832	494	1	∗	CARDINAL
ejpam-5832	496	1	max{(µq′′(t))q	CARDINAL
ejpam-5832	498	1	j. pure	PERSON
ejpam-5832	498	2	18	CARDINAL
ejpam-5832	498	3	3	CARDINAL
ejpam-5832	498	4	2025	CARDINAL
ejpam-5832	498	5	5832 15	DATE
ejpam-5832	498	6	21	CARDINAL
ejpam-5832	498	7	19	DATE
ejpam-5832	500	1	q.	GPE
ejpam-5832	500	2	q′′	GPE
ejpam-5832	502	1	q′′	GPE
ejpam-5832	502	2	q∗	ORG
ejpam-5832	502	3	∗	CARDINAL
ejpam-5832	502	4	α(ϵ	ORG
ejpam-5832	503	1	∗.	PERSON
ejpam-5832	506	1	max{(µq′′(t))q	CARDINAL
ejpam-5832	506	2	t ∈ q∗	ORG
ejpam-5832	509	1	11	CARDINAL
ejpam-5832	510	1	3	CARDINAL
ejpam-5832	513	1	∈	ORG
ejpam-5832	513	2	α(ϵ	ORG
ejpam-5832	515	1	0	CARDINAL
ejpam-5832	518	1	1	CARDINAL
ejpam-5832	518	2	α(q))∗.	ORDINAL
ejpam-5832	518	3	⊆	CARDINAL
ejpam-5832	518	4	α(q))∗.	ORDINAL
ejpam-5832	518	5	α(ϵ	ORG
ejpam-5832	519	1	∈	ORG
ejpam-5832	520	1	0	CARDINAL
ejpam-5832	520	2	0	CARDINAL
ejpam-5832	521	1	1	CARDINAL
ejpam-5832	521	2	∈	ORG
ejpam-5832	522	1	⊆	CARDINAL
ejpam-5832	523	1	20	CARDINAL
ejpam-5832	524	1	first	ORDINAL
ejpam-5832	525	1	′′	ORG
ejpam-5832	526	1	α(q	PERSON
ejpam-5832	527	1	∈	ORG
ejpam-5832	527	2	0	DATE
ejpam-5832	527	3	∈	ORG
ejpam-5832	527	4	1	CARDINAL
ejpam-5832	527	5	⊆	CARDINAL
ejpam-5832	527	6	two	CARDINAL
ejpam-5832	527	7	a. razzaque	PERSON
ejpam-5832	528	1	j. pure	PERSON
ejpam-5832	528	2	18	CARDINAL
ejpam-5832	528	3	3	CARDINAL
ejpam-5832	528	4	2025	CARDINAL
ejpam-5832	528	5	5832 16	DATE
ejpam-5832	528	6	∈	ORG
ejpam-5832	528	7	kerα	PRODUCT
ejpam-5832	528	8	∈	ORG
ejpam-5832	528	9	kerα	PRODUCT
ejpam-5832	528	10	∈	ORG
ejpam-5832	531	1	min{(µq(λ))q	ORG
ejpam-5832	531	2	( νp (ϵλϵ −1	DATE
ejpam-5832	532	1	−1))q ≤ max{(νq(λ))q	ORG
ejpam-5832	533	1	1.	CARDINAL
ejpam-5832	534	1	( νp (ϵλϵ −1	DATE
ejpam-5832	535	1	α(q	PERSON
ejpam-5832	535	2	3	CARDINAL
ejpam-5832	537	1	first	ORDINAL
ejpam-5832	537	2	ψ(ϵp	ORG
ejpam-5832	537	3	β(ϵ	PERSON
ejpam-5832	537	4	α(ϵ	PERSON
ejpam-5832	538	1	k ∈	ORG
ejpam-5832	539	1	ψ(ϵp	ORG
ejpam-5832	540	1	β(ϵ	PERSON
ejpam-5832	541	1	t ∈ q∗	ORG
ejpam-5832	541	2	β(t	PERSON
ejpam-5832	542	1	t ∈ q∗	ORG
ejpam-5832	542	2	β(t	PERSON
ejpam-5832	547	1	k ∈	ORG
ejpam-5832	547	2	t ′′. a. razzaque	GPE
ejpam-5832	548	1	j. pure	PERSON
ejpam-5832	548	2	18	CARDINAL
ejpam-5832	548	3	3	CARDINAL
ejpam-5832	548	4	2025	CARDINAL
ejpam-5832	548	5	5832 17	DATE
ejpam-5832	548	6	21	DATE
ejpam-5832	548	7	14	DATE
ejpam-5832	550	1	two	CARDINAL
ejpam-5832	552	1	min{max(νq(u	PERSON
ejpam-5832	552	2	∈	ORG
ejpam-5832	553	1	lemma 4	PERSON
ejpam-5832	555	1	two	CARDINAL
ejpam-5832	557	1	∗	CARDINAL
ejpam-5832	557	2	∗	CARDINAL
ejpam-5832	558	1	∈	ORG
ejpam-5832	559	1	0	CARDINAL
ejpam-5832	561	1	1 ⇔ min	QUANTITY
ejpam-5832	563	1	0	CARDINAL
ejpam-5832	565	1	1 ⇔	CARDINAL
ejpam-5832	566	1	0	CARDINAL
ejpam-5832	569	1	1 ⇔	CARDINAL
ejpam-5832	569	2	1	CARDINAL
ejpam-5832	569	3	∈	ORG
ejpam-5832	569	4	1∩q∗ 2	DATE
ejpam-5832	570	1	1	CARDINAL
ejpam-5832	570	2	2	CARDINAL
ejpam-5832	570	3	∈	ORG
ejpam-5832	570	4	∈	ORG
ejpam-5832	570	5	∗ ⇔	ORG
ejpam-5832	570	6	0	CARDINAL
ejpam-5832	572	1	1 ⇔ max{min(µq(u	QUANTITY
ejpam-5832	573	1	0	CARDINAL
ejpam-5832	573	2	min{max(νq(u	PERSON
ejpam-5832	574	1	1 ⇔	CARDINAL
ejpam-5832	574	2	0	CARDINAL
ejpam-5832	574	3	0	CARDINAL
ejpam-5832	574	4	1	CARDINAL
ejpam-5832	574	5	q∗p	DATE
ejpam-5832	574	6	q∗p	DATE
ejpam-5832	574	7	∗.	PERSON
ejpam-5832	574	8	15	DATE
ejpam-5832	574	9	w	ORG
ejpam-5832	575	1	⊆	CARDINAL
ejpam-5832	576	1	≃ q2	WORK_OF_ART
ejpam-5832	577	1	21	CARDINAL
ejpam-5832	578	1	second	ORDINAL
ejpam-5832	580	1	a. razzaque	PERSON
ejpam-5832	581	1	j. pure	PERSON
ejpam-5832	581	2	18	CARDINAL
ejpam-5832	581	3	3	CARDINAL
ejpam-5832	581	4	2025	CARDINAL
ejpam-5832	581	5	5832 18	DATE
ejpam-5832	582	1	9	CARDINAL
ejpam-5832	583	1	lemma 2	ORG
ejpam-5832	584	1	second	ORDINAL
ejpam-5832	585	1	lemma 4	ORG
ejpam-5832	585	2	∗	CARDINAL
ejpam-5832	585	3	q∗p	GPE
ejpam-5832	585	4	kq ∗	ORG
ejpam-5832	587	1	k(q ∩ p	ORG
ejpam-5832	588	1	k(q∗ ∩ p ∗	PRODUCT
ejpam-5832	589	1	kq ∗	ORG
ejpam-5832	592	1	ψ(p	NORP
ejpam-5832	592	2	⊆	CARDINAL
ejpam-5832	592	3	22	CARDINAL
ejpam-5832	593	1	third	ORDINAL
ejpam-5832	594	1	⊆	CARDINAL
ejpam-5832	597	1	9	CARDINAL
ejpam-5832	597	2	⊆	CARDINAL
ejpam-5832	597	3	third	ORDINAL
ejpam-5832	598	1	q)))(lp ∗	PERSON
ejpam-5832	601	1	l′ ∈	PERSON
ejpam-5832	603	1	l′ ∈	PERSON
ejpam-5832	604	1	∈	ORG
ejpam-5832	604	2	zq∗ ∈ lq∗(p ∗/q∗	ORG
ejpam-5832	604	3	zq∗ ∈ lq∗(p ∗/q∗	ORG
ejpam-5832	608	1	z ∈ zp ∗	QUANTITY
ejpam-5832	608	2	∈	ORG
ejpam-5832	609	1	∈	ORG
ejpam-5832	610	1	ν(t	PERSON
ejpam-5832	612	1	a. razzaque	PERSON
ejpam-5832	613	1	j. pure	PERSON
ejpam-5832	613	2	18	CARDINAL
ejpam-5832	613	3	3	CARDINAL
ejpam-5832	613	4	2025	CARDINAL
ejpam-5832	613	5	5832 19	DATE
ejpam-5832	615	1	abelian	NORP
ejpam-5832	615	2	lagrange	GPE
ejpam-5832	615	3	caley	ORG
ejpam-5832	616	1	fss	ORG
ejpam-5832	618	1	1	CARDINAL
ejpam-5832	620	1	394–432, 1996	DATE
ejpam-5832	621	1	2	CARDINAL
ejpam-5832	624	1	1986	DATE
ejpam-5832	625	1	3	CARDINAL
ejpam-5832	627	1	51(6):3980–3992	CARDINAL
ejpam-5832	627	2	2019	DATE
ejpam-5832	628	1	4	CARDINAL
ejpam-5832	628	2	k kumar	PERSON
ejpam-5832	629	1	atanassov	ORG
ejpam-5832	630	1	27(12):2302–2311	CARDINAL
ejpam-5832	630	2	2019	DATE
ejpam-5832	631	1	5	CARDINAL
ejpam-5832	631	2	y f wang	PERSON
ejpam-5832	632	1	atanassov	ORG
ejpam-5832	633	1	84:105703	ORG
ejpam-5832	633	2	2019	DATE
ejpam-5832	634	1	6	CARDINAL
ejpam-5832	634	2	k kumar	PERSON
ejpam-5832	636	1	22, 2018	DATE
ejpam-5832	639	1	joint ifsa world congress	ORG
ejpam-5832	639	2	annual	DATE
ejpam-5832	639	3	ifsa/nafips	ORG
ejpam-5832	639	4	57–61,	DATE
ejpam-5832	639	5	2013	DATE
ejpam-5832	640	1	8	CARDINAL
ejpam-5832	640	2	n li	PERSON
ejpam-5832	640	3	l wang	PERSON
ejpam-5832	642	1	7(12):1150	CARDINAL
ejpam-5832	642	2	2019	DATE
ejpam-5832	643	1	9	CARDINAL
ejpam-5832	643	2	mo	GPE
ejpam-5832	643	3	y deng	PERSON
ejpam-5832	644	1	pythagorean	ORG
ejpam-5832	645	1	2020	DATE
ejpam-5832	646	1	10	CARDINAL
ejpam-5832	646	2	s ashraf	PERSON
ejpam-5832	646	3	akram	PERSON
ejpam-5832	648	1	6(6):95, 2018	DATE
ejpam-5832	649	1	11	CARDINAL
ejpam-5832	649	2	hussain	GPE
ejpam-5832	649	3	k ullah	PERSON
ejpam-5832	649	4	n alshahrani	PERSON
ejpam-5832	649	5	s yang	PERSON
ejpam-5832	650	1	alsina operators for	ORG
ejpam-5832	651	1	14(5):940	CARDINAL
ejpam-5832	651	2	2022	CARDINAL
ejpam-5832	652	1	a. razzaque	PERSON
ejpam-5832	653	1	j. pure	PERSON
ejpam-5832	653	2	18	CARDINAL
ejpam-5832	653	3	3	CARDINAL
ejpam-5832	653	4	2025	CARDINAL
ejpam-5832	653	5	5832 20 of 21	DATE
ejpam-5832	653	6	12	CARDINAL
ejpam-5832	655	1	25(5):1222–1230	CARDINAL
ejpam-5832	655	2	2016	DATE
ejpam-5832	656	1	13	CARDINAL
ejpam-5832	658	1	15(1):783	CARDINAL
ejpam-5832	658	2	2025	DATE
ejpam-5832	659	1	14	CARDINAL
ejpam-5832	659	2	gulistan	DATE
ejpam-5832	659	3	j kim	PERSON
ejpam-5832	661	1	138(2	DATE
ejpam-5832	661	2	2024	DATE
ejpam-5832	662	1	15	CARDINAL
ejpam-5832	662	2	j kim	PERSON
ejpam-5832	664	1	alexandria engineering journal	ORG
ejpam-5832	664	2	77:149–164	CARDINAL
ejpam-5832	664	3	2023	CARDINAL
ejpam-5832	665	1	16	CARDINAL
ejpam-5832	665	2	rosenfeld	PERSON
ejpam-5832	667	1	35(3):512–517	DATE
ejpam-5832	667	2	1971	DATE
ejpam-5832	668	1	17	CARDINAL
ejpam-5832	669	1	84(1):264–269, 1981	DATE
ejpam-5832	670	1	18	CARDINAL
ejpam-5832	670	2	j liu	PERSON
ejpam-5832	672	1	8(2):133–139, 1982	DATE
ejpam-5832	673	1	19	CARDINAL
ejpam-5832	675	1	34(3):225–239	ORG
ejpam-5832	675	2	1984	DATE
ejpam-5832	676	1	20	CARDINAL
ejpam-5832	678	1	39(3):247–267, 1986	ORG
ejpam-5832	679	1	21	CARDINAL
ejpam-5832	681	1	16(3):237–242	CARDINAL
ejpam-5832	681	2	1985	DATE
ejpam-5832	682	1	22	CARDINAL
ejpam-5832	684	1	20:53–59, 1990	DATE
ejpam-5832	685	1	23	CARDINAL
ejpam-5832	685	2	j n mordeson	PERSON
ejpam-5832	687	1	the korean mathematical society	ORG
ejpam-5832	687	2	29(1):1–8, 1992	DATE
ejpam-5832	688	1	24	CARDINAL
ejpam-5832	688	2	r kumar	PERSON
ejpam-5832	688	3	n ajmal	PERSON
ejpam-5832	690	1	37(3):359–371, 1990	DATE
ejpam-5832	691	1	25	CARDINAL
ejpam-5832	693	1	10:39–44, 1989	DATE
ejpam-5832	694	1	26	CARDINAL
ejpam-5832	694	2	k hur	PERSON
ejpam-5832	694	3	s y jang	PERSON
ejpam-5832	694	4	h w kang	ORG
ejpam-5832	696	1	honam mathematical journal	ORG
ejpam-5832	696	2	2004	DATE
ejpam-5832	697	1	27	CARDINAL
ejpam-5832	697	2	k sharma	PERSON
ejpam-5832	701	1	7(11):523–530	CARDINAL
ejpam-5832	701	2	2012	DATE
ejpam-5832	702	1	28	CARDINAL
ejpam-5832	702	2	mateen	PERSON
ejpam-5832	704	1	13(6):998	DATE
ejpam-5832	704	2	2021	CARDINAL
ejpam-5832	705	1	29	CARDINAL
ejpam-5832	707	1	14(9):1812, 2002	DATE
ejpam-5832	708	1	30	CARDINAL
ejpam-5832	708	2	alolaiyan	NORP
ejpam-5832	708	3	u shuaib	PERSON
ejpam-5832	709	1	t intuitionistic fuzzification	ORG
ejpam-5832	709	2	lagrange	GPE
ejpam-5832	710	1	7:158419–158426, 2019	DATE
ejpam-5832	711	1	a. razzaque	PERSON
ejpam-5832	712	1	j. pure	PERSON
ejpam-5832	712	2	18	CARDINAL
ejpam-5832	712	3	3	CARDINAL
ejpam-5832	712	4	2025	CARDINAL
ejpam-5832	712	5	5832 21 of 21	DATE
ejpam-5832	712	6	31	CARDINAL
ejpam-5832	714	1	busefal	PERSON
ejpam-5832	714	2	82:40–44, 2000	DATE
ejpam-5832	715	1	32	CARDINAL
ejpam-5832	717	1	3:40–53	DATE
ejpam-5832	717	2	2020	DATE
ejpam-5832	718	1	33	CARDINAL
ejpam-5832	720	1	6(1):962–978	DATE
ejpam-5832	720	2	2021	DATE
ejpam-5832	721	1	34	CARDINAL
ejpam-5832	721	2	g alhamzi	PERSON
ejpam-5832	723	1	2022	CARDINAL
ejpam-5832	724	1	35	CARDINAL
ejpam-5832	726	1	2022	CARDINAL
ejpam-5832	727	1	36	CARDINAL
ejpam-5832	727	2	addis	GPE
ejpam-5832	727	3	munir	PERSON
ejpam-5832	729	1	25(6):1757	CARDINAL
ejpam-5832	729	2	1776	DATE
ejpam-5832	729	3	2022	CARDINAL