On generalized difference sequence spaces of fuzzy numbers

Abstract

The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces cF(f,Λ,Δm,p), (f,Λ,Δm,p) and (f,Λ,Δm,p) of fuzzy numbers associated with the multiplier sequence Λ= (λk) defined by a modulus function f. We study some of their properties like solidity, symmetricity, completeness etc. and prove some inclusion results.