Associate Professor Department of Mathematics, Kalinga University, Raipur, (C.G.)
Online published on 4 January, 2021.
In This paper we investigate the properties of fuzzy group and fuzzy sub groups and their types. also introduces the notion of a characteristic fuzzy sub group of fuzzy group. we define the algebraic structure of fuzzy sub group and some related properties are investigated. the purpose of this study is to implement the fuzzy set theory and group theory in fuzzy sub group.
Fuzzy set, Fuzzy group, Fuzzy subgroup, Fuzzy abelian group, Fuzzy normal subgroup, Left and right coset of fuzzy group