[1] R. Aguilar-Sánchez, J.A. Méndez-Bermúdez, J.M. RodrÍguez, and J.M. Sigarreta, Normalized Sombor indices as complexity measures of random networks, Entropy 23 (2021), no. 8, Article ID: 976.
https://doi.org/10.3390/e23080976
[2] U. Ahmad, S. Ahmad, and R. Yousaf, Computation of Zagreb and atom-bond connectivity indices of certain families of dendrimers by using automorphism group action, J. Serb. Chem. Soc. 82 (2017), no. 2, 151–162.
https://doi.org/10.2298/JSC160718096A
[6] U. Ahmad and I. Nawaz, Wiener index of a directed rough fuzzy graph and application to human trafficking, J. Intell. Fuzzy Syst. 44 (2023), no. 1, 1479–1495.
https://doi.org/10.3233/JIFS-221627
[7] U. Ahmad, I. Nawaz, and S. Broumi, Connectivity index of directed rough fuzzy graphs and its application in traffic flow network, Granul. Comput. 8 (2023), no. 6, 1561–1582.
https://doi.org/10.1007/s41066-023-00384-z
[10] M. Akram and N.O. Alshehri, Intuitionistic fuzzy cycles and intuitionistic fuzzy trees, Sci. World J. 2014 (2014), Article ID: 305836.
https://doi.org/10.1155/2014/305836
[11] M. Akram and M. Arshad, A new approach based on fuzzy rough digraphs for decision-making, J. Intell. Fuzzy Syst. 35 (2018), no. 2, 2105–2121.
https://doi.org/10.3233/JIFS-172069
[14] M. Akram, K. Ullah, G. Ćirović, and D. Pamucar, Algorithm for energy resource selection using priority degree-based aggregation operators with generalized orthopair fuzzy information and aczel–alsina aggregation operators, Energies 16
(2023), no. 6, Article ID: 2816.
https://doi.org/10.3390/en16062816
[15] M. Akram and F. Zafar, A new approach to compute measures of connectivity in rough fuzzy network models, J. Intell. Fuzzy Syst. 36 (2019), no. 1, 449–465.
https://doi.org/10.3233/JIFS-181751
[17] T. Al-Hawary, Complete fuzzy graphs, Int. J. Math. Comput. Sci. 4 (2011), 26–34.
[18] F. Asif, Z. Zahid, M.N. Husin, M. Cancan, Z. Ta¸s, M. Alaeiyan, and M.R. Farahani, On Sombor indices of line graph of silicate carbide , J. Discrete Math. Sci. Cryptogr. 25 (2022), no. 1, 301–310.
https://doi.org/10.1080/09720510.2022.2043621
[21] M. Azeem, M.K. Jamil, and Y. Shang, Notes on the localization of generalized hexagonal cellular networks, Mathematics 11 (2023), no. 4, Article ID: 844.
https://doi.org/10.3390/math11040844
[29] J. Dinar, Z. Hussain, S. Zaman, and S.U. Rehman, Wiener index for an intuitionistic fuzzy graph and its application in water pipeline network, Ain Shams Eng. J. 14 (2023), no. 1, Article ID:101826.
https://doi.org/10.1016/j.asej.2022.101826
[30] A.E.F. A. El-Atik, M.K. El-Bably, and M.A. El-Gayar, Topological visualization of rough sets by neighborhoods, a heart application based graphs, (2022) Manuscript.
[31] A.O. Esogbue, M. Theologidu, and K. Guo, On the application of fuzzy sets theory to the optimal flood control problem arising in water resources systems, Fuzzy Sets Syst. 48 (1992), no. 2, 155–172.
https://doi.org/10.1016/0165-0114(92)90330-7
[32] A.N. Gani and S.S. Begum, Degree, order and size in intuitionistic fuzzy graphs, Int. J. Algorithms Comput. Math. 3 (2010), no. 3, 11–16.
[33] A.N. Gani and S.R. Latha, On irregular fuzzy graphs, Appl. Math. Sci. 6 (2012), no. 11, 517–523.
[34] W. Gao, J.L.G. Guirao, and H. Wu, Nordhaus–Gaddum type inequalities for some distance-based indices of bipartite molecular graphs, J. Math. Chem. 58 (2020), no. 7, 1345–1352.
https://doi.org/10.1007/s10910-020-01139-w
[35] A. Garrido, A brief history of fuzzy logic, Broad Research in Artificial Intelligence and Neuroscience 3 (2012), no. 1, 71–77.
[38] I. Gutman, Geometric approach to degree-based topological indices: Sombor indices, MATCH Commun. Math. Comput. Chem. 86 (2021), no. 1, 11–16.
[39] I. Gutman, Some basic properties of Sombor indices, Open J. Discret. Appl. Math. 4 (2021), no. 1, 1–3.
[41] A. Hussain, K. Ullah, M. Mubasher, T. Senapati, and S. Moslem, Interval-valued pythagorean fuzzy information aggregation based on Aczel-Alsina operations and their application in multiple attribute decision making, IEEE Access 11 (2023), 34575–34594.
https://doi.org/10.1109/ACCESS.2023.3244612
[42] A. Hussain, H. Wang, K. Ullah, H. Garg, and D. Pamucar, Maclaurin symmetric mean aggregation operators based on novel frank T-norm and T-conorm for intuitionistic fuzzy multiple attribute group decision-making, Alex. Eng. J. 71 (2023),
535–550.
https://doi.org/10.1016/j.aej.2023.03.063
[43] M. Imran, R. Luo, M.K. Jamil, M. Azeem, and K.M. Fahd, Geometric perspective to degree–based topological indices of supramolecular chain, Results in Engineering 16 (2022), Article ID: 100716.
https://doi.org/10.1016/j.rineng.2022.100716
[44] S.R. Islam and M. Pal, Hyper-Wiener index for fuzzy graph and its application in share market, J. Intell. Fuzzy Syst. 41 (2021), no. 1, 2073–2083.
https://doi.org/10.3233/JIFS-210736
[45] S.R. Islam and M. Pal, Further development of f-index for fuzzy graph and its application in indian railway crime, J. Appl. Math. Comput. 69 (2023), no. 1, 321–353.
https://doi.org/10.1007/s12190-022-01748-5
[46] K. Jabeen, K. Ullah, M. Akram, and I. Haleemzai, Interval valued picture fuzzy Aczel–Alsina aggregation operators and their application by using the multiattribute decision making problem, J. Math. 2023 (2023), Article ID:1707867.
https://doi.org/10.1155/2023/1707867
[47] S. Kalathian, S. Ramalingam, S. Raman, and N. Srinivasan, Some topological indices in fuzzy graphs, J. Intell. Fuzzy Syst. 39 (2020), no. 5, 6033–6046.
https://doi.org/10.3233/JIFS-189077
[51] I. Masmali, A. Ahmad, M. Azeem, and A.N.A. Koam, Madm and assessment of pilot health projects based on spherical fuzzy information, Neural. Comput. Appl. 35 (2023), 16619–16632.
https://doi.org/10.1007/s00521-023-08533-w
[55] F. Movahedi and M.H. Akhbari, Degree-based topological indices of the molecular structure of hyaluronic acid–methotrexate conjugates in cancer treatment, Int. J. Quantum Chem. 123 (2023), no. 12, Article ID: e27106.
https://doi.org/10.1002/qua.27106
[56] R. Parvathi and M. G. Karunambigai, Intuitionistic Fuzzy Graphs, Computational Intelligence, Theory and Applications (B. Reusch, ed.), vol. 38, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006, pp. 139–150.
[57] S. Poulik and G. Ghorai, Determination of journeys order based on graph’s wiener absolute index with bipolar fuzzy information, Inf. Sci. 545 (2021), 608–619.
https://doi.org/10.1016/j.ins.2020.09.050
[58] I. Redžepović, Chemical applicability of sombor indices, J. Serb. Chem. Soc. 86 (2021), no. 5, 445–457.
[61] A.A. Shashidharaa, H. Ahmed, S. Nandappa, and M. Cancanc, Domination version: Sombor index of graphs and its significance in predicting physicochemical properties of butane derivatives, Eurasian Chem. Commun. 5 (2023), no. 1, 91–
102.
https://doi.org/10.22034/ecc.2023.357241.1522
[62] M.S. Sunitha and S. Mathew, Fuzzy graph theory: a survey, Ann. Pure Appl. Math. 4 (2013), no. 1, 92–110.
[63] H. Wang, T. Xu, L. Feng, T. Mahmood, and K. Ullah, Aczel–Alsina Hamy mean aggregation operators in T-spherical fuzzy multi-criteria decision-making, Axioms 12 (2023), no. 2, Article ID: 224.
https://doi.org/10.3390/axioms12020224
[64] B.K. Wong and V.S. Lai, A survey of the application of fuzzy set theory in production and operations management: 1998–2009, Int. J. Prod. Econ. 129 (2011), no. 1, 157–168.
https://doi.org/10.1016/j.ijpe.2010.09.013