• ### Groups with Fuzzy Operations (F-groups)

S. S. Davidov and J. Hatami

Abstract: In this paper, we are going to develop the notion of groups with fuzzy operations (F-groups). An F-group is a set equipped with a fuzzy equality and a binary fuzzy operation. In the rest, we investigate the notions of fuzzy subgroup, fuzzy normal subgroup and isomorphism theorems in F-groups setting.

Keywords: F-algebra, F-group, Fuzzy subgroup, Fuzzy normal subgroup, Isomorphism theorems.