Group Intuitionistic Fuzzy Topological Spaces

Abstract

The notion of intuitionistic fuzzy set was introduced by K.T. Atanassov as a generalization of the notion of fuzzy set. Intuitionistic fuzzy topological spaces were introduced by D. Coker and studied by many eminent authors like F. Gallego Lupianez, K. Hur, J. H. Kim and J. H. Ryou. R. Biswas applied the notion of intuitionistic fuzzy set to algebra and introduced intuitionistic fuzzy subgroup of a group. In this paper, we will study intuitionistic fuzzy topology by involving the algebraic structure on it and introduce the notion of group intuitionistic fuzzy topological spaces. We will examine many properties of these spaces and obtain several results.

Keywords: Intuitionistic fuzzy topological space (IFTS), intuitionistic fuzzy subgroup (IFSG), group intuitionistic fuzzy topological space (GIFTS), intuitionistic fuzzy point (IFP).