Fuzzy Zagreb Index and Its Application in Financial Interconnection Networks
Main Article Content
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.
Downloads
Metrics
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Licensing
TURCOMAT publishes articles under the Creative Commons Attribution 4.0 International License (CC BY 4.0). This licensing allows for any use of the work, provided the original author(s) and source are credited, thereby facilitating the free exchange and use of research for the advancement of knowledge.
Detailed Licensing Terms
Attribution (BY): Users must give appropriate credit, provide a link to the license, and indicate if changes were made. Users may do so in any reasonable manner, but not in any way that suggests the licensor endorses them or their use.
No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
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.