Fuzzy Proximity Approach by Using Interval-Valued Fuzzy Sets

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Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 18 Sayı: 3
Fuzzy Proximity Approach by Using Interval-Valued Fuzzy Sets

Fuzzy Proximity Approach by Using Interval-Valued Fuzzy Sets

Authors : Özlem Tekin

Pages : 713-725

View : 94 | Download : 112

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :Interval-valued fuzzy sets are a generalization of classical fuzzy sets that the membership values are intervals. In the idea of interval-valued fuzzy sets, there is one real-valued membership degree of an element within the membership interval of possible membership degrees. By helping of interval-valued fuzzy relations, we build the concept of interval-valued fuzzy relations on proximal relator spaces. In our paper, the interval-valued fuzzy proximity axioms is investigated and given some examples. Also, we defined spatial Lodato and descriptive Lodato proximity relations.
Keywords : proximity space, fuzzy relation, fuzzy proximity, interval-valued fuzzy sets

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