Igi-induced Fuzzy Topology on Undirected Fuzzy Graphs

Authors

  • Zainab Irhayyim Abed Department of Mathematics, faculty of education for women, University of Kufa, Iraq.
  • Asmhan Flieh Hassan Department of Mathematics, faculty of education for women, University of Kufa, Iraq.

DOI:

https://doi.org/10.29304/jqcsm.2025.17.42590

Keywords:

Locally finite fuzzy graph, undirected fuzzy graphs

Abstract

In this paper Associating a fuzzy tritopological space with an undirected fuzzy graph that is, three distinct fuzzy topologies derived from either three distinct fuzzy graphs or the same fuzzy graph is the goal of this article. The tritopologies have been proposed to link fuzzy topological spaces with fuzzy graphs

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References

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Z. I. Abed , A. F. Hassan, IVIG-Induced Topology From Tritopological Space On Undirected Graphs, IOP Conference Series: Materials Science and Engineering,2020

I. A. Ali, A. F. Hassan, The Independent Incompatible Edges Topology on Di-graphs, Journal of Physics: Conference Series, 2322, no. 1, (2022), 012010.

Z.L., Hadi, Zahraa Lateef, A.F., Hassan, Asmhan Flieh, The Non-Adjacency Incompatible Vertices Topology on Digraphs, Al-Nahrain Journal of Science, (2024)

M. M.Kover, On 3-topological version of θregularity, International Jurnal of Mathematics and Mathematical Sciences,Vol.23,No.6, 2000, pp.393-398.

Rosenfeld, A. Fuzzy graphs. In Fuzzy Sets and their Applications; Zadeh, L.A., Fu, K.S., Shimur, M., Eds.; Academic Press: New York, NY, USA, (1975), 77–95.

M. Atef, A. Atik, A. Nawar, Fuzzy Topological Structures via Fuzzy Graphs and Their Applications, Soft Computing, 25, (2021), 6013-6027.

P. S. Gholap, V. E. Nikumbh, Fuzzy topological spaces on fuzzy graphs, Annals of Fuzzy Mathematics and Informatics, Volume 25, No. 3, (June 2023) pp. 279–291.

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Published

2025-12-30

How to Cite

Abed, Z. I., & Hassan, A. F. (2025). Igi-induced Fuzzy Topology on Undirected Fuzzy Graphs. Journal of Al-Qadisiyah for Computer Science and Mathematics, 17(4), Math 60–69. https://doi.org/10.29304/jqcsm.2025.17.42590

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Section

Math Articles