EXTENSION OF SHI'S QUASI-UNIFORMITY TO THE FUZZY SOFT SETS

Abstract

The purpose of this paper is to introduce Shi’s (quasi-)uniformitystructure in the context of fuzzy soft sets. We define the notion of a fuzzysoft (quasi-)uniformity in the sense of Shi. We give the relations between afuzzy soft (quasi-)uniformity and a fuzzy soft cotopology. Also, we investigatethe relations between fuzzy soft remote neighborhood structures which aregenerated by a given fuzzy soft uniformity structure