Some results on fuzzy cosets and fuzzy subgroups

In this paper, we introduce the concept of fuzzy sets and fuzzy groups.Then we present the de nition of fuzzy subgroups and some of its basic properties like left(right) cosets of fuzzy subgroups. First we introduce some new concepts of fuzzy group theory and then by using the de nitions we obtain the same theorems and results onfuzzy cosets of a fuzzy subgroup and cosets of a subgroup of a group.

Keywords:

fuzzy sets , fuzzy cosets , fuzzy subgroups , fuzzy algebra