Fuzzy congruence of hypergroups

Authors:
R. Ameri
Affiliations:
Department of Mathematics, Faculty of Basic Science, University of Mazandaran, Babolsar, Iran. E-mail: ameri@umz.ac.ir
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2008

Citing 3
Cited 1

Fuzzy relations and fuzzy groups

Information Sciences: an International Journal
Fuzzy sets, uncertainty, and information

Fuzzy sets, uncertainty, and information
Fuzzy congruences in groups

Fuzzy Sets and Systems

Topological hypergroupoids

Computers & Mathematics with Applications

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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.