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

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

Keywords:

Fuzzy soft set, fuzzy soft cotopology remote neighborhood, uniformity,

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Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli- TURKEY
E-mail address: vildan.cetkin@kocaeli.edu.tr, halis@kocaeli.edu.tr