Rough convergence of Bernstein fuzzy I-convergent of χf(Δ,p)3I(F) space defined by Orlicz function

Article type: Research Article

Authors: Kemal Ozdemir, M.^a | Esi, Ayhan^{b; *} | Subramanian, Nagarajan^c

Affiliations: [a] Department of Mathematics, Inonu University, Turkey | [b] Department of Mathematics, Adiyaman University, Turkey | [c] Department of Mathematics, SASTRA University, India

Correspondence: [*] Corresponding author. Ayhan Esi, Department of Mathematics, Adiyaman University, Adiyaman-02040, Turkey. E-mail: aesi@adiyaman.edu.tr.

Abstract: There are several notions of convergence of fuzzy number sequences in the literature. The aim of this paper is to introduce and study a new concept of the rough fuzzy ideal convergent triple sequences defined by Orlicz function. Also, some topological properties of the resulting sequence spaces of rough fuzzy numbers were examined.

Keywords: Triple sequences, rough convergence, fuzzy numbers, Orlicz function, difference sequence, duals, integral sequence

Keywords: 40F05, 40J05, 40G05

DOI: 10.3233/JIFS-182832

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 4, pp. 5067-5073, 2019