Applications of Some Rating Methods to Solve Multicriteria Decision-Making Problems
Abstract
This study proposes a new approach for the solution of multicriteria decision-making problems. The proposed approach is based on using rating/ranking methods. Particularly, in this paper, we investigate the possibility of applying Massey, Colley, Keener, offence-defence, and authority-hub rating methods, which are successfully used in various fields. The proposed approach is useful when no decision-making authority is available or when the relative importance of various criteria has not been previously evaluated. The proposed approach is tested with an example problem to demonstrate its viability and suitability for application.References
M. Ehrgott, 2005.
R. T. Marler and J. S. Arora, “Function-transformation methods for multi-objective optimization,” Engineering Optimization, vol. 37, no. 6, pp. 551–570, 2005.
P. Karande and S. Chakraborty, “Application of multi-objective optimization on the basis of ratio analysis (MOORA) method for materials selection,” Materials & Design, vol. 37, pp. 317–324, 2012.
R. S. Khabbaz, B. D. Manshadi, A. Abedian, and R. Mahmudi, “A simplified fuzzy logic approach for materials selection in mechanical engineering design,” Materials & Design, vol. 30, no. 3, pp. 687–697, 2009.
A. Jahan, F. Mustapha, M. Y. Ismail, S. M. Sapuan, and M. Bahraminasab, “A comprehensive VIKOR method for material selection,” Materials & Design, vol. 32, no. 3, pp. 1215–1221, 2011.
P. Chatterjee, V. M. Athawale, and S. Chakraborty, “Selection of materials using compromise ranking and outranking methods,” Materials & Design, vol. 30, no. 10, pp. 4043–4053, 2009.
S. Treanta, “Optimization on the distribution of population densities and the arrangement of urban activities,” Statistics, Optimization & Information Computing, vol. 6, no. 2, pp. 208–218, 2018.
R. M. Alguliyev, R. M. Aliguliyev, and F. J. Abdullayeva, “PSO+ K-means algorithm for anomaly detection in Big Data,” Statistics, Optimization & Information Computing, vol. 7, no. 2, pp. 348–359, 2019.
J. Gonz´alez-D´ıaz, R. Hendrickx, and E. Lohmann, “Paired comparisons analysis: An axiomatic approach to ranking methods,” Social Choice and Welfare, vol. 42, no. 1, pp. 139–169, 2014.
K. Massey, Statistical models applied to the rating of sports teams. 1997.
J. Gogodze, “Using a Two-Person Zero-Sum Game to Solve a Decision-Making Problem,” Pure and Applied Mathematics Journal, vol. 7, no. 2, pp. 11–19, 2018.
W. Colley, 2007.
J. P. Keener, “The Perron-Frobenius theorem and the ranking of football teams,” SIAM review, vol. 35, no. 1, pp. 80–93, 1993.
A. Y. Govan, 2008.
G. Pinski and F. Narin, “Citation influence for journal aggregates of scientific publications: Theory, with application to the literature of physics,” Information Processing & Management, vol. 12, no. 5, pp. 297–312, 1976.
J. M. Kleinberg, “Authoritative sources in a hyperlinked environment,” Journal of the ACM (JACM), vol. 46, no. 5, pp. 604–632, 1999.
N. L. Geller, “On the citation influence methodology of Pinski and Narin,” Information Processing & Management, vol. 14, pp. 93–95, 1978.
M. M. Farag, “Quantitative methods of materials selection,” Handbook of Materials Selection, 2002.
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