Solvable groups derived from fuzzy hypergroups

E Mohammadzadeh, T Nozari
2015 RATIO MATHEMATICA   unpublished
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.