Solvable groups derived from fuzzy hypergroups

Abstract

In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are presented.

Keywords

• Fuzzy hypergroups, strongly regular relation, solv- able groups, fundamental relation.