Intuitionistic fuzzy I-convergent double sequence spaces defined by compact operator and modulus function

Abstract

In recent years, the Fuzzy theory has emerged as the most active area of research in many branches of mathematics and engineering. This new theory was introduced by L.A. Zadeh in 1965 and since then large number of research papers have been appeared by using the concept of Fuzzy set/numbers and fuzzification of many classical theories has also been made. The object of this paper is to define the intuitionistic Fuzzy I-convergent double sequence spaces S-2((mu, nu))I (T, f) and S-2((mu, nu)0)I (T, f) defined by Compact Operator and Modulus Function. We study some topological and algebraic properties of these spaces and discuss the Fuzzy topology on them.