Fuzzy Identity Graph of Finite Abelian Groups

I In this work, we attempt to link a fuzzy graph to a fuzzy subgroup.A fuzzy graph, with the vertices representing the fuzzy subgroups elements,is used to represent a fuzzy subgroup. An identity graph is a speci c type ofgraph that can be used to represent a nite group. We de ne fuzzy identitygraph of nite abelian groups by combining the notions of fuzzy graph andidentity graph of a group. For a fuzzy identity graph of a nite abelian group,we determine an upper bound on the number of fuzzy cut vertices and fuzzybridges. The structure of the fuzzy identity graph of the direct product ofabelian groups is also obtained

کلیدواژه ها:

Fuzzy identity graph ، fuzzy cut vertex ، fuzzy bridge