Fuzzy covering space and fuzzy selection principle

Abstract

In crisp topologies space, there are three selection principles that have been introduced such as S1(A, B), Sfin(A, B) and Ufin (A, B). In this paper, consider A or B as fuzzy open sets which have certain fuzzy covering properties. By using fuzzy set theory as a method, we will introduce the concept fuzzy covering space and fuzzy selection principle. At the end of this concept paper, we will discuss relationship between fuzzy selection principle and fuzzy covering space.