Some I-convergent multiplier double classes of sequences of fuzzy numbers defined by Orlicz functions

Abstract

In this paper using ideal I and Orlicz function M together with a general multiplier double sequence Λ = (λ_nk), n, k ∈ N of non-zero real numbers, we introduce some new type of I-convergent fuzzy real-valued double sequence spaces. We have studied different topological properties of these sequence spaces. Also we have characterized the multiplier problem and some inclusion relations involving these classes of sequences are obtained. Further some equivalent statements involving these classes of sequences are established.