Some Notions of Regular Fuzzy Graph of Ternary Semigroups

Abstract

In this paper is to connect fuzzy theory and graph theory with an algebraic structure ternary semi group. In this paper, we introduce the notion of fuzzy graph of ternarysemi group, the notion of isomorphism of fuzzy graphs of ternary semi groups, the notion of regular fuzzy graph of ternary semi group and the notion of anti fuzzy ideal graph of ternary semi group as a generalization of anti fuzzy ideal of ternary semi group. We study  some of their properties and prove that G(V1, E1, µ1) and G(V2, E2,  µ2) be fuzzy graphs of ternary semi groups are isomorphic if and only if  their complements are isomorphic.