Connections between fuzzy multi-groups and fuzzy multi-graphs

Author(s):

Saeed Mirvakili * , Hossein Naraghi , Maryam Shirvani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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(Γσ ∧), where Aut(Γσ ∧) is a group of automorphisms of the fuzzy multi-graph Γσ ∧.

Keywords:

Fuzzy multi-graph , fuzzy multi-group , Fuzzy graph , automorphism

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:2 Issue: 2, Spring 2021
Pages:
47 to 60
https://www.magiran.com/p2332781