$(A)_ {\Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function

Document Type: Research Paper


Istanbul Ticaret University, Department of Mathematics, Uskudar-Istanbul, Turkey


The aim of this paper is to introduce and study a new concept of
strong double $(A)_ {\Delta}$-convergent sequence of
fuzzy numbers with respect to an Orlicz function and also some
properties of the resulting sequence spaces of fuzzy   numbers are
examined. In addition, we define the double
$(A,\Delta)$-statistical convergence of fuzzy  numbers and
establish some connections between the spaces of strong double
$(A)_ {\Delta}$-convergent sequence and  double $(A
,\Delta)$-statistical convergent sequence.


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