On the concept of fuzzy comultisets and its properties

Abstract

The notion of fuzzy multigroups is an application of fuzzy multisets or fuzzy bags to classical group theory. In this paper, we propose the concept of fuzzy comultiset and explicate some of its properties. The relationship between fuzzy comultisets of a fuzzy multigroup and the cosets of a group is established. Some results on the concept of fuzzy comultisets are deduced with proofs.