Graph associated to a fuzzy hypermodule

The study of algebraic hyperstructures, using the properties of graph theory hasbecome to an exciting research topic in the last decade. In this note, we associate agraph via the relation ϵ⋆, the fundamental relation (as the transitive closure of ϵ) ona fuzzy hypermodule M, in which the vertex set is the set of all elements of M andtwo distinct vertices x and y are adjacent if xϵ⋆y. We denote this graph by 􀀀M. Westudy some properties of ΓM.

کلیدواژه ها:

Fuzzy hypergroup ، Fuzzy hyperring ، Fuzzy hypermodule ، Fundamental relation ، Associated graph