Fuzzy Identity Graph of Finite Abelian Groups

Augustine, Anju C; Fernandez, Shery

doi:10.22111/ijfs.2025.50289.8874

Document Type : Research Paper

Authors

Anju C Augustine ¹
Shery Fernandez ²

¹ 1. Department of Mathematics Cochin University of Science and Technology Kalamassery, Kochi, Kerala 682022 2. Department of Mathematics Deva Matha College, Kuravilangad, Kottayam, Kerala 686633

² Department of Mathematics Cochin University of Science and Technology Kalamassery, Kochi, Kerala 682022 Mob:9846762450

https://doi.org/10.22111/ijfs.2025.50289.8874

Abstract

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 of
graph that can be used to represent a nite group. We de ne fuzzy identity
graph of nite abelian groups by combining the notions of fuzzy graph and
identity 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 fuzzy
bridges. The structure of the fuzzy identity graph of the direct product of
abelian groups is also obtained

Keywords

Main Subjects

Fuzzy Math

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Fuzzy Identity Graph of Finite Abelian Groups

References

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Volume 22, Issue 5September and October 2025Pages 129-142

Volume 22, Issue 5
September and October 2025
Pages 129-142