Mathematica Eterna
Open Access

Abstract

Bipolar Valued Fuzzy Translation in Semigroups

Samit Kumar Majumder and Pavel Pal

In this paper the notions of bipolar valued fuzzy translation and a bipolar valued fuzzy S-extension of a bipolar valued fuzzy subsemigroup (bi-ideal) in a semigroup are introduced and some of their important properties have been investigated. As an application we also introduce the notion of bipolar valued fuzzy equivalence relation.