Fuzzy Soft BCK-Modules

Abstract

A BCK-module is an action of a BCK-algebra on an abelian group. In this paper, the theory of fuzzy soft sets is applied on BCKmodules and thereby introduced the notion of fuzzy soft BCK-module (fsX−module). In this regard, various algebraic operations between fsX−modules, like fsX− intersection, fsX−union etc, are studied. Also, fsX−homormorphisms for fsX−modules is defined and discussed. Moreover, fuzzy soft exactness of fsX−modules is introduced and discussed.