Interval-Valued Fuzzy Sets on Proximal Relator Spaces

Abstract

Interval-Valued Fuzzy Sets on Proximal Relator Spaces

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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