Fuzzy congruence of hypergroups

摘要

In this paper we introduce fuzzy congruence and fuzzy strong congruence of semi-hypergroups as well as polygroups. We obtain some results in this respect. We also prove that FC(H), the set of all fuzzy strong congruences on a polygroup H, consists a complete lattice and this lattice is isomorphic to .FN(H), the lattice of fuzzy normal subpolygroups.