Connecting graphs with R-hypermodules via normal fuzzy subhypermodules

Document Type : Research Paper

Authors

1 Department of Mathematics, Semnan University, Semnan, Iran

2 School of Mathematics, Statistics and computer science, College of Sciences University of Tehran, Tehran, Iran

Abstract

In this paper, we analyze the connection between R-hypermodules and graphs by associating a graph with an R- hypermodule through a normal fuzzy subhypermodule. We investigate the graph's properties, including connectedness, completeness, Eulerian and Hamiltonian characteristics. By defining a regular relation based on the fuzzy  subhypermodule, we study how algebraic properties of R-hypermodules induence the associated graph. This work contributes to the understanding of fuzzy algebraic structures and their graphical representations, with potential applications in computer science and network theory.

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References

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Journal of Hyperstructures
Volume 14, Issue 1
June 2025
Pages 68-78

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