Connections between fuzzy multi-groups and fuzzy multi-graphs

Saeed Mirvakili, Hossein Naraghi, Maryam Shirvani
2021 Journal of Algebraic Hyperstructures and Logical Algebras  
In this paper, we introduce the concept of fuzzy multigraphs and a type of isomorphism on fuzzy multi-graphs and study their properties. We show that how to assign a fuzzy multi-graph to the appropriate fuzzy multi-groups. We also prove that every fuzzy multi-group of group G can be embedded into the fuzzy multi-group of the group Aut(Γ σ ∧ ), where Aut(Γ σ ∧ ) is a group of automorphisms of the fuzzy multi-graph Γ σ ∧ . Article Information
doi:10.52547/hatef.jahla.2.2.47 fatcat:23smwtsap5fqhhggl6rro6twym