Investigation for metallic crystals through chemical invariants, QSPR and fuzzy-TOPSIS

References

• Amić, D., Bešlo, D., Lucić, B., Nikolić, S., & Trinajstić, N. (1998). The vertex-connectivity index revisited. Journal of Chemical Information and Computer Sciences, 38(5), 819–822. https://doi.org/10.1021/ci980039b
   Google Scholar
• Baldwin, J. M. (1902). Dictionary of philosophy and psychology (Vol. II). The Macmillan Company.
   Google Scholar
• Bollobás, B. (2012). Graph theory: An introductory course (Vol. 63). SSBM.
   Google Scholar
• Chen, C. T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114(1), 1–9. https://doi.org/10.1016/S0165-0114(97)00377-1
   Web of Science ®Google Scholar
• Chu, T. C., & Lin, Y. C. (2003). A fuzzy TOPSIS method for robot selection. The International Journal of Advanced Manufacturing Technology, 21(4), 284–290. https://doi.org/10.1007/s001700300033
   Web of Science ®Google Scholar
• Estrada, E., Torres, L., Rodriguez, L., & Gutman, I. (1998). An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes. Indian Journal of Chemistry -Section A, 37, 849–855.
   Google Scholar
• Fasanghari, M., Gholamy, N., Chaharsooghi, S. K., Qadami, S., & Delgosha, M. S. (2008, August). The fuzzy evaluation of E-Commerce customer satisfaction utilizing fuzzy TOPSIS [Paper presentation]. 2008 International Symposium on Electronic Commerce and Security (pp. 870–874). IEEE. https://doi.org/10.1109/ISECS.2008.207
   Google Scholar
• Gutman, I., Ruscic, B., Trinajstic, N., & Wilcox, C. F. (1975). Graph theory and molecular orbitals. XII. Acyclic polyenes. The Journal of Chemical Physics, 62(9), 3399–3409. https://doi.org/10.1063/1.430994
   Web of Science ®Google Scholar
• Hwang, C. L., & Yoon, K. (1981). Multiple attribute decision making: Methods and applications. Springer-Verlag.
   Google Scholar
• Hwang, C. L., Lai, Y. J., & Liu, T. Y. (1993). A new approach for multiple objective decision making. Computers & Operations Research, 20(8), 889–899. https://doi.org/10.1016/0305-0548(93)90109-V
   Web of Science ®Google Scholar
• Klein, D. J. (2002). Topological indices and related descriptors in QSAR and QSPR Edited by James Devillers & Alexandru T. Balaban. Gordon and Breach Science Publishers: Singapore. 1999. 811 pp. 90-5699-239-2. $198.00. Journal of Chemical Information and Computer Sciences, 42(6), 1507–1507. https://doi.org/10.1021/ci010441h
   Google Scholar
• Liu, J. B., Bao, Y., & Zheng, W. T. (2022). Analyses of some structural properties on a class of hierarchical scale-free networks. Fractals, 30(07), 2250136. https://doi.org/10.1142/S0218348X22501365
   Web of Science ®Google Scholar
• Liu, J. B., Bao, Y., Zheng, W. T., & Hayat, S. (2021). Network coherence analysis on a family of nested weighted n-polygon networks. Fractals, 29(08), 2150260. https://doi.org/10.1142/S0218348X21502601
   Web of Science ®Google Scholar
• Mondal, S., Siddiqui, M. K., De, N., & Pal, A. (2021). Neighborhood M-polynomial of crystallographic structures. Biointerface Research in Applied Chemistry, 11, 9372–9381.
   Web of Science ®Google Scholar
• Mujahed, H., & Nagy, B. (2015, May). Wiener index on lines of unit cells of the body-centered cubic grid. In International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing (pp. 597–606). Springer.
   Google Scholar
• Mujahed, H., & Nagy, B. (2018). Hyper-Wiener index on rows of unit cells of the BCC grid. Comptes Rendus DE L Academie Bulgare Des Sciences, 71(5), 675–684.
   Web of Science ®Google Scholar
• Nădăban, S., Dzitac, S., & Dzitac, I. (2016). Fuzzy TOPSIS: A general view. Procedia Computer Science, 91, 823–831. https://doi.org/10.1016/j.procs.2016.07.088
   Google Scholar
• Peccati, F., Desmedt, E., & Contreras-García, J. (2019). A regression approach to accurate interaction energies using topological descriptors. Computational and Theoretical Chemistry. 1159, 23–26. https://doi.org/10.1016/j.comptc.2019.05.002
   Web of Science ®Google Scholar
• Razzaque, A., Noor, S., Kanwal, S., & Saeed, S. (2022). Two dimensional descriptors based on degree, neighborhood degree, and reverse degree for HEX (hexagonal) lattice. Journal of Mathematics, 2022, 1–14. https://doi.org/10.1155/2022/2006084
   Web of Science ®Google Scholar
• Riantaphyllou, E. (2000). Multi-criteria decision making: A comparative study. Kluwer Academic Publishers (now Springer), p. 320.
   Google Scholar
• Salih, M. M., Zaidan, B. B., Zaidan, A. A., & Ahmed, M. A. (2019). Survey on fuzzy TOPSIS state-of-the-art between 2007 and 2017. Computers & Operations Research, 104, 207–227. https://doi.org/10.1016/j.cor.2018.12.019
   Web of Science ®Google Scholar
• Shaker, H., Imran, M., & Sajjad, W. (2021). Eccentricity based topological indices of face centered cubic lattice FCC (n). Main Group Metal Chemistry, 44(1), 32–38. https://doi.org/10.1515/mgmc-2021-0005
   Web of Science ®Google Scholar
• Siddiqui, M. K., Imran, M., & Saeed, M. (2019). Topological properties of facecentred cubic lattice. Hacettepe Journal of Mathematics and Statistics, 49(1), 195-207. https://doi.org/10.15672/hujms.546348
   Web of Science ®Google Scholar
• Sun, C. C. (2010). A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods. Expert Systems with Applications, 37(12), 7745–7754. https://doi.org/10.1016/j.eswa.2010.04.066
   Web of Science ®Google Scholar
• Trinajstic, N. (2018). Chemical graph theory. CRC press.
   Google Scholar
• Trinajstić, N., & Gutman, I. (2002). Mathematical chemistry. CroaticaChemicaActa, 75(2), 329–356.
   Google Scholar
• Vukičević, D., & Furtula, B. (2009). Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges. Journal of Mathematical Chemistry, 46(4), 1369–1376. https://doi.org/10.1007/s10910-009-9520-x
   Web of Science ®Google Scholar
• Yang, H., Rashid, M. A., Ahmad, S., Khan, S. S., & Siddiqui, M. K. (2019). On molecular descriptors of face-centered cubic lattice. Processes, 7(5), 280. https://doi.org/10.3390/pr7050280
   Web of Science ®Google Scholar
• Yong, D. (2006). Plant location selection based on fuzzy TOPSIS. The International Journal of Advanced Manufacturing Technology, 28(7–8), 839–844. https://doi.org/10.1007/s00170-004-2436-5
   Web of Science ®Google Scholar
• Yoon, K. (1987). A reconciliation among discrete compromise situations. Journal of the Operational Research Society, 38(3), 277–286. (1987). https://doi.org/10.1057/jors.1987.44
   Web of Science ®Google Scholar
• Zhang, G., Saeed, S., Aslam, A., Kanwal, S., Idrees, N., & Sumbal Shaikh, T. (2022). Study of HCP (hexagonal close-packed) crystal structure lattice through topological descriptors. Computational Intelligence and Neuroscience, 2022, 1–13. https://doi.org/10.1155/2022/6069666
   Google Scholar
• Zhang, X., Awais, H. M., Javaid, M., & Siddiqui, M. K. (2019). Multiplicative Zagreb indices of molecular graphs. Journal of Chemistry, 2019, 1–19. https://doi.org/10.1155/2019/5294198
   Web of Science ®Google Scholar
• Zhang, X., Jiang, H., Liu, J.-B., & Shao, Z. (2018). The Cartesian product and join graphs on edge-version atom-bond connectivity and geometric arithmetic indices. Molecules, 23(7), 1731. https://doi.org/10.3390/molecules23071731
   PubMed Web of Science ®Google Scholar
• Zimmermann, H. J. (2011). Fuzzy set theory—and its applications. SSBM.
   Google Scholar