Statistical convergence of order β for generalized difference sequences of fuzzy numbers

Article type: Research Article

Authors: Altınok, Hıfsı

Affiliations: Department of Mathematics, Firat University, Elazığ-Turkey

Note: [] Corresponding author. Hıfsı Altınok, Department of Mathematics, Firat University, 23119, Elazığ-Turkey. Tel.: +90 424 2370000; Fax: +90 424 2330062; E-mail: hifsialtinok@gmail.com

Abstract: In this study we introduce the concepts of Δm-statistical convergence of order β and strong $\Delta_{p}^{m}$-Cesàro summability of order β for sequences of fuzzy numbers by helping many examples. Also, we establish some properties which are valid for sequences of real numbers, but not for sequences of fuzzy numbers.

Keywords: Fuzzy number, statistical convergence, cesàro summability, difference operator

DOI: 10.3233/IFS-130776

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 2, pp. 847-856, 2014