Research Article

On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions

Volume: 8 Number: 1 April 15, 2020
EN

On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions

Abstract

We introduce the notions of statistical limit, statistical Cesaro summability of strongly measurable fuzzy valued functions and give slowly decreasing-slowly oscillating type Tauberian conditions under which statistical limits and statistical Cesaro summability of fuzzy valued functions imply ordinary limits in fuzzy number space.


Keywords

References

  1. [1] S. Aytar, M. Mammadov and S. Pehlivan, Statistical limit inferior and limit superior for sequences of fuzzy numbers, Fuzzy Set Syst 157, No. 7 (2006) 976–985.
  2. [2] S. Aytar and S. Pehlivan, Statistical cluster and extreme limit points of sequences of fuzzy numbers, Inform. Sci. 177, No. 16 (2007) 3290–3296
  3. [3] B. Bede and S. G. Gal, Almost periodic fuzzy-number-valued functions, Fuzzy Set Syst 147, (2004) 385–403.
  4. [4] C. Belen, Tauberian theorems for weighted mean summability method of improper Riemann integrals of fuzzy-number-valued functions, Soft Comput 22, No. 12 (2018) 3951–3957
  5. [5] C. Belen, Tauberian theorems for statistical limit and statistical summability by weighted means of continuous fuzzy valued functions, J. Math. Ext. (2020), preprint
  6. [6] H. Fast, Sur la convergence statistique, Colloq. Math. 2, (1951) 241–244.
  7. [7] O. Kaleva, Fuzzy differential equations, Fuzzy Set Syst 24, (1987) 301–317.
  8. [8] Y. K. Kim and B. M. Ghil, Integrals of fuzzy-number-valued functions, Fuzzy Set Syst 86, (1997) 213–222

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 15, 2020

Submission Date

May 19, 2019

Acceptance Date

March 28, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

APA
Talo, Ö., Yavuz, E., & Çoşkun, H. (2020). On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp Journal of Mathematics, 8(1), 62-69. https://izlik.org/JA42ZF85JH
AMA
1.Talo Ö, Yavuz E, Çoşkun H. On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp J. Math. 2020;8(1):62-69. https://izlik.org/JA42ZF85JH
Chicago
Talo, Özer, Enes Yavuz, and Hüsamettin Çoşkun. 2020. “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”. Konuralp Journal of Mathematics 8 (1): 62-69. https://izlik.org/JA42ZF85JH.
EndNote
Talo Ö, Yavuz E, Çoşkun H (April 1, 2020) On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp Journal of Mathematics 8 1 62–69.
IEEE
[1]Ö. Talo, E. Yavuz, and H. Çoşkun, “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”, Konuralp J. Math., vol. 8, no. 1, pp. 62–69, Apr. 2020, [Online]. Available: https://izlik.org/JA42ZF85JH
ISNAD
Talo, Özer - Yavuz, Enes - Çoşkun, Hüsamettin. “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 62-69. https://izlik.org/JA42ZF85JH.
JAMA
1.Talo Ö, Yavuz E, Çoşkun H. On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp J. Math. 2020;8:62–69.
MLA
Talo, Özer, et al. “On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 62-69, https://izlik.org/JA42ZF85JH.
Vancouver
1.Özer Talo, Enes Yavuz, Hüsamettin Çoşkun. On the Statistical Limits of Strongly Measurable Fuzzy Valued Functions. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):62-9. Available from: https://izlik.org/JA42ZF85JH
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.