On deferred statistical convergence of order β of sequences of fuzzy numbers

Article type: Research Article

Authors: Et, Mikail^{; *} | Erol, Yüksel

Affiliations: Department of Mathematics, Fırat University, Elazig, Turkey

Correspondence: [*] Corresponding author. Mikail Et, Department of Mathematics, Fırat University, Elazig, Turkey. Email: [email protected].

Abstract: The main purpose of this paper is to introduce and examine the concepts of deferred statistical convergence of order β and strong r-deferred Cesáro summability of order β for sequences of fuzzy numbers and give some relations between deferred statistical convergence sequences of order β and strongly r-deferred Cesáro summable sequences of order β, where β ∈ (0, 1] and p∈ℝ+. Mathematics Subject Classification: 40A05, 40C05, 46A45, 03E72.

Keywords: Fuzzy number, statistical convergence, deferred cesáro mean

DOI: 10.3233/JIFS-18551

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3747-3755, 2018