Fuzzy congruence of hypergroups

Article type: Research Article

Authors: Ameri, R.

Affiliations: Department of Mathematics, Faculty of Basic Science, University of Mazandaran, Babolsar, Iran. E-mail: [email protected]

Abstract: 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.

Keywords: Semi-hypergroup, polygroup, fuzzy similarity relation, fuzzy compatible, fuzzy congruence, fuzzy strong congruence, fuzzy normal sub-polygroups

Journal: Journal of Intelligent & Fuzzy Systems, vol. 19, no. 2, pp. 141-149, 2008