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

Year 2013, Volume: 1 Issue: 2, 42 - 50, 01.12.2013

Vildan Çetkin Halisaygün

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

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: [e-mail], [e-mail]