A novel degree based topological index and its application in decision making
*E. Virgin ChristildaCorresponding authorevirginchristilda@gmail.comDepartment of MathematicsStella Maris College (Autonomous)Affiliated to University of MadrasChennai, Tamil Nadu, 600086, IndiaView full profile → , S. Teresa Arockiamaryteresa_aroc@yahoo.co.inDepartment of MathematicsStella Maris College (Autonomous)Affiliated to University of MadrasChennai, Tamil Nadu, 600086, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 May 2025
- Published Online:
- 16 Jun 2026
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- JDMSC-2566
- Pages:
- 2269–2278
Abstract
Keywords
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References
[1] S. Banitalebi and R. A. Borzooei, “Inverse n-dominating sets in vague graphs with application in decision making,’’ Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 1, pp. 61-76 (2025).
[2] I. Gutman, “Degree-based topological indices,’’ Croatica Chemica Acta, vol. 86, no. 4, pp. 351-361 (2013).
[3] M. Ghods and Z. Rostami, “Introduction to topological indices in neutrosophic graphs,’’ Neutrosophic Sets and Systems, vol. 35, pp. 68-77 (2020).
[4] S. Liaqat, Z. S. Mufti, and Y. Shang, “Newly defined fuzzy misbalance prodeg index with application in multi-criteria decision-making,’’ AIMS Mathematics, vol. 9, no. 8, pp. 20193-20220 (2024).
[5] J. N. Mordeson, S. Mathew, and G. Gayathri, Fuzzy Graph Theory: Applications to Global Problems. Cham, Switzerland: Springer (2023), doi: 10.1007/978-3-031-23108-7.
[6] M. Pal, S. Samanta, and G. Ghorai, Modern Trends in Fuzzy Graph Theory. Singapore: Springer (2020), doi: 10.1007/978-981-15-8803-7.
[7] N. R. Reddy, M. Z. Khan, S. S. Basha, A. Alahmadi, A. H. Alahmadi, and C. L. Chowdhary, “The Laplacian energy of hesitancy fuzzy graphs in decision-making problems,’’ Computer Systems Science and Engineering, vol. 44, pp. 2637-2653 (2023).
[8] P. Sarkar, N. De, A. Pal, and İ. N. Cangül, “Generalized Zagreb indices for some silicate networks,’’ Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 3, pp. 929–944 (2024).
[9] S. Swarup, I. Ahmed, Y. Grigorova, and R. Zeltser, “Metabolic Syndrome,” in StatPearls [Internet]. Treasure Island, FL, USA: StatPearls Publishing (2022).
[10] R. M. Zulqarnain, X. L. Xin, M. Saqlain, F. Smarandache, and M. I. Ahamad, “An integrated model of neutrosophic TOPSIS with application in multi-criteria decision-making problem,’’ Neutrosophic Sets and Systems, vol. 40, pp. 253-269 (2021).
[11] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353 (1965).
[12] A. Rosenfeld, “Fuzzy graphs,” in Fuzzy Sets and Their Applications to Cognitive and Decision Processes, L. A. Zadeh, K. S. Fu, M. Shimura, and A. S. Tanaka, Eds. New York, USA: Academic Press, pp. 77–95 (1975), doi: 10.1016/B978-0-12-775260-0.50008-6.
[13] F. Smarandache, “Neutrosophic set - A generalization of the intuitionistic fuzzy set,” International Journal of Pure and Applied Mathematics, vol. 24, no. 3, pp. 287–297 (2005).




