Goutam Chowdhury - Department of Mathematics, Derozio Memorial College Rajarhat Road, Kolkata-۷۰۰۱۳۶, India

In this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.We also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.

Semihypergroup, Fuzzy semihypergroup, Fuzzy hypergroup, Fuzzy transposition hypergroup, Fuzzy subsemihypergroup, Fuzzy subhypergroup, Fuzzy closed set, Fuzzy reflexive subsemihypergroup, Fuzzy normal subsemihypergroup, Fuzzy regular relation, Fuzzy quotient hypergroup