Research Article

ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS

Volume: 9 Number: 2 December 29, 2023
EN

ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS

Abstract

In this study, we first give the definition of ρ-statistical convergence of order (α,β) for sequences of fuzzy numbers. We also define the strongly w(ρ,F,q)-summable of order (α,β) and the strongly w(ρ,F,q,f)-summable of order (α,β), defined by a modulus function f for sequences of fuzzy numbers. Later we give some coverage theorems between these sets and the set S_α^β (ρ,F).

Keywords

References

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  2. Steinhaus, H., “Sur la convergence ordinaire et la convergence asymptotique”, Colloq. Math. 2, 73-74, 1951.
  3. Schoenberg, I.J., “The Integrability of Certain Functions and Related Summability Methods”, Amer. Math. Monthly, 66, 361-375, 1959.
  4. Aral, N. D., & Et, M., “Generalized difference sequence spaces of fractional order defined by Orlicz functions”, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics , 69 (1) , 941-951, 2020.
  5. Aral, N.D., & Gunal, S., “On M_(λ_(m,n) )statistical convergence”, Journal of Mathematics, 1–8, 2020.
  6. Aral, N.D., & Kandemir, H. Ş., “I-lacunary statistical convergence of order β of difference sequences of fractional order”, Facta Univ. Ser. Math. Inform. 36 (1), 43—55, 2021.
  7. Şengül, H., Et, M., & Altin, Y., “f-lacunary statistical convergence and strong f-lacunary summability of order α of double sequences”, Facta Univ. Ser. Math. Inform. 35 (2), 495—506, 2020.
  8. Zadeh, L. A., “Fuzzy sets”, Inform and Control, 8, 338-353, 1965.

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Publication Date

December 29, 2023

Submission Date

July 12, 2023

Acceptance Date

October 5, 2023

Published in Issue

Year 2023 Volume: 9 Number: 2

APA
Barlak, D. (2023). ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS. Middle East Journal of Science, 9(2), 96-103. https://doi.org/10.51477/mejs.1326338
AMA
1.Barlak D. ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS. MEJS. 2023;9(2):96-103. doi:10.51477/mejs.1326338
Chicago
Barlak, Damla. 2023. “ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS”. Middle East Journal of Science 9 (2): 96-103. https://doi.org/10.51477/mejs.1326338.
EndNote
Barlak D (December 1, 2023) ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS. Middle East Journal of Science 9 2 96–103.
IEEE
[1]D. Barlak, “ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS”, MEJS, vol. 9, no. 2, pp. 96–103, Dec. 2023, doi: 10.51477/mejs.1326338.
ISNAD
Barlak, Damla. “ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS”. Middle East Journal of Science 9/2 (December 1, 2023): 96-103. https://doi.org/10.51477/mejs.1326338.
JAMA
1.Barlak D. ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS. MEJS. 2023;9:96–103.
MLA
Barlak, Damla. “ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS”. Middle East Journal of Science, vol. 9, no. 2, Dec. 2023, pp. 96-103, doi:10.51477/mejs.1326338.
Vancouver
1.Damla Barlak. ON ρ-STATISTICAL CONVERGENCE OF ORDER (α,β) FOR SEQUENCES OF FUZZY NUMBERS. MEJS. 2023 Dec. 1;9(2):96-103. doi:10.51477/mejs.1326338

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