%0 Journal Article %T Connections between fuzzy multi-groups and fuzzy multi-graphs %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Mirvakili, S. %A Naraghi, H. %A Shirvani, M. %D 2021 %\ 05/01/2021 %V 2 %N 2 %P 47-60 %! Connections between fuzzy multi-groups and fuzzy multi-graphs %K Fuzzy multi-graph %K fuzzy multi-group %K Fuzzy graph %K automorphism %R 10.52547/HATEF.JAHLA.2.2.47 %X  In this paper, we introduce the concept of fuzzy multi-graphs 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 $Aut(\Gamma_\wedge^\sigma)$, where $Aut(\Gamma_\wedge^\sigma)$ is a group of automorphisms of the fuzzy multi-graph $\Gamma_\wedge^\sigma$. %U https://jahla.hatef.ac.ir/article_132756_7382afd644e1739b8c65062932f52474.pdf