Intuitionistic fuzzy ideal convergence
What is it about?
The fuzzy set theory was introduced by L.A. Zadeh in 1965 and since then large number of research papers have been appeared. In recent years, the Fuzzy theory has emerged as the most active area of research in many branches of mathematics and engineering. The object of this paper is to define the intuitionistic Fuzzy I-convergent double sequence spaces defined by Compact Operator and Modulus Function. We study some topological and algebraic properties of these spaces and discuss the Fuzzy topology on them.
Why is it important?
In this paper, we have studied the concept of Intuitionistic fuzzy I- convergent double sequence spaces defined by compact operator and modulus function. Saddati and Park introduced the concept of intuitionistic fuzzy topological spaces, from these space we get an idea and we de fined some different spaces de fined by bounded linear operator. This study provides a new tools to deal with ideal convergence and it is very useful in many branches of science and engineering. Future work includes a detailed evaluation of these sequence spaces using different operators and functions.