Applications of Tauberian theorem in Orlicz spaces of double difference sequences of fuzzy numbers

摘要

In this paper we introduce and study some difference double sequence spaces of fuzzy numbers by using Hausdorff metric associated with sequence of Orlicz functions. We make an effort to study some algebraic, topological properties and inclusion relations between these sequence spaces. We show that the new formed sequence spaces are complete with respect to the metric D-M,D- (Delta m,) (p,) (u)(x, y). Finally, we establish some relation between Delta(r)-statistically convergent and Delta r-statistically (C, 1, 1) summable double sequences of fuzzy numbers under the slowly oscillating and statistically slowly oscillating conditions in certain sense, respectively.