f-statistical convergence of order β for sequences of fuzzy numbers

Article type: Research Article

Authors: Altinok, Hifsi^{a; *} | Kasap, Mithat^b

Affiliations: [a] Department of Mathematics, Fırat University, Elazığ, Turkey | [b] Department of Accounting, Şırnak University, Şırnak, Turkey

Correspondence: [*] Corresponding author. Hifsi Altinok, Department of Mathematics, Fırat University, 23119 Elazığ, Turkey. Tel.: +904242370000; Fax: +904242330062; E-mail: [email protected].

Abstract: In this paper, we extend the notions of statistically convergence of order β and strong Cesàro summability of order β, and introduce the notions f-statistically convergence of order β and strong Cesàro summability of order β for β ∈ (0, 1] with respect to an unbounded modulus function f for sequences of fuzzy numbers and give some inclusion theorems.

Keywords: Fuzzy number, sequence of fuzzy numbers, statistical convergence, Cesàro summability, modulus function

DOI: 10.3233/JIFS-161654

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 705-712, 2017