Intuitionistic Fuzzy I-Convergent Difference Sequence Spaces Defined by Compact Operator

Abstract

In this paper, we introduce and study the intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\mu,\upsilon)}(T,\Delta)$ and ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\mu,\upsilon)}(T,\Delta)$ and ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator.