Fuzzy Zagreb Index and Its Application in Financial Interconnection Networks

Main Article Content

Mahesh Kale
Minirani S.

Abstract

In contrast to conventional models, fuzzy graphs offer an enhanced level of precision and adaptability for systems. These graphs provide a numerical representation of a molecule's structural graph through topological indices. In the realm of graph theory, numerous topological indices can be applied to the domain of fuzzy graphs. This paper elucidates the utilization of fuzzy graph theory indices within interconnection networks. The scope of this analysis encompasses the derivation of analytical results for the fuzzy Zagreb index and its practical applications in interconnecting companies within the field of financial mathematics.\\
Additionally, we leverage fuzzy graph modeling to investigate a significant approach to designing efficient investment strategies, harnessing the power of the fuzzy Zagreb index as a key tool in this endeavor.

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How to Cite
Kale, M., & S., M. . (2020). Fuzzy Zagreb Index and Its Application in Financial Interconnection Networks. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 11(3), 2570–2581. https://doi.org/10.61841/turcomat.v11i3.14188
Section
Research Articles

References

I. Gutman and N. Trinajstic, “Graph theory and molecular orbitals. total φ-electron energy of alternant

hydrocarbons,” Chemical Physics Letters, vol. 17, no. 4, pp. 535–538, 1972.

M. Randic, “Characterization of molecular branching,” Journal of the American Chemical Society, vol. 97, no. 23,

pp. 6609–6615, 1975.

B. Borovicanin, K. C. Das, B. Furtula, and I. Gutman, “Bounds for zagreb indices,” MATCH Commun. Math.

Comput. Chem, vol. 78, no. 1, pp. 17– 100, 2017.

L. A. Zadeh, “Fuzzy sets,” Information and control, vol. 8, no. 3, pp. 338– 353, 1965.

M. Binu, S. Mathew, and J. N. Mordeson, “Wiener index of a fuzzy graph and application to illegal immigration

networks,” Fuzzy Sets and Systems, vol. 384, pp. 132–147, 2020.

M. Kale and S. Minirani, “Fuzzy zagreb indices and some bounds for fuzzy zagreb energy,” International Journal

of Analysis and Applications, vol. 19, no. 2, pp. 252–263, 2021.

M. Kale and S. Minirani, “Bounds for fuzzy zagreb estrada index,” Communications in Combinatorics and

Optimization, vol. 8, no. 1, pp. 153–160, 2023.

S. Mathew, N. Anjali, and J. N. Mordeson, “Transitive blocks and their applications in fuzzy interconnection

networks,” Fuzzy Sets and Systems, vol. 352, pp. 142–160, 2018.

S. Ali, S. Mathew, and J. Mordeson, “Hamiltonian fuzzy graphs with application to human trafficking,” Information

Sciences, 2020.

M. Imran, S. Hayat, and M. Y. H. Malik, “On topological indices of certain interconnection networks,” Applied

Mathematics and Computation, vol. 244, pp. 936–951, 2014.

S. Hayat and M. Imran, “Computation of topological indices of certain networks,” Applied Mathematics and

Computation, vol. 240, pp. 213–228, 2014.

M. Kale and S. Minirani, “On zagreb indices of graphs with a deleted edge,” Annals of Pure and Applied

Mathematics, vol. 21, no. 1, pp. 1–14, 2020.

A. Rosenfeld, “Fuzzy graphs,” in Fuzzy sets and their applications to cognitive and decision processes, pp. 77–95,

Elsevier, 1975.

J. N. Mordeson and S. Mathew, Advanced Topics in Fuzzy Graph Theory. Springer, 2019.