@article { author = {Mirvakili, S. and Naraghi, H. and Shirvani, M.}, title = {Connections between fuzzy multi-groups and fuzzy multi-graphs}, journal = {Journal of Algebraic Hyperstructures and Logical Algebras}, volume = {2}, number = {2}, pages = {47-60}, year = {2021}, publisher = {University of Hatef (Hatef College University)}, issn = {2676-6000}, eissn = {2676-6019}, doi = {10.52547/HATEF.JAHLA.2.2.47}, abstract = { 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 $\Gamma_\wedge^\sigma$.}, keywords = {Fuzzy multi-graph,fuzzy multi-group,Fuzzy graph,automorphism}, url = {https://jahla.hatef.ac.ir/article_132756.html}, eprint = {https://jahla.hatef.ac.ir/article_132756_7382afd644e1739b8c65062932f52474.pdf} }