Affiliations: School of Mathematics, Shri Mata Vaishno Devi University, Katra, J & K, India
Correspondence:
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Corresponding author. Kuldip Raj, School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K, India. E-mail: [email protected].
Abstract: 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
DM,Δm,p,u(x,y)
. Finally, we establish some relation between Δr-statistically convergent and Δr-statistically (C, 1, 1) summable double sequences of fuzzy numbers under the slowly oscillating and statistically slowly oscillating conditions in certain sense, respectively.
