Small and Large Inductive Dimensions of Intuitionistic Fuzzy Topological Spaces

Abstract

The main purpose of this paper is to present some fundamental properties of small and large inductive dimensions in intuitionistic fuzzy topological spaces. Our results can be regarded as a study of their properties such as proves subset theorems, zero dimensionality and topological property of an intuitionistic fuzzy small inductive dimension. Furthermore, we introduce a large inductive dimension of intuitionistic fuzzy bi-compact and normal spaces.

Door Spaces in Intuitionistic Fuzzy Topological Spaces

“…Further details regarding the operations of the IF-sets, IF points, IF functions, and other concepts used in this study can be found in previous references [6][7][8][9]15].…”

“…Using the notion of intuitionistic fuzzy sets, Coker [4] introduced intuitionistic fuzzy topological spaces as a generalization of the fuzzy topological spaces proposed by Chang [5]. Several concepts of the fuzzy topological space have been recently extended to intuitionistic fuzzy topological spaces [6][7][8][9]. Parameswari and Thangavelu [10] introduced the concept of b # -open set in ordinary topological spaces and studied several properties of this concept as well as the relationship between the b # -set and other sets.…”