Abstract
The Ideal Degradation Procedure (IDP) is designed to solve multiple criteria problems without scalarization, i. e., in the vector-maximum sense. Scalarization reduces multiple criteria into a single aggregate superfunction, thus defeating the very purpose and all advantages of explicitly considering multidimensionality. Very few OR/MS analysts would propose “collapsing” problem constraints into a single “superconstraint”. Yet, multiple criteria are being freely scalarized even when they express the same economic variables as constraints.
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References
Galperin, E. A., “Nonscalarized Multiobjective Global Optimization,” Journal of Optimization Theory and Applications,75(1992)1, pp. 69–86.
Von Neumann, J. and O. Morgenstern, Theory of Games and Economic Behavior, Third edition, Princeton University Press, Princeton, N. J., 1953, pp. 10–11.
Kuhn, H. W. and A. W. Tucker, “Nonlinear Programming,” in: J. Neyman (ed.), Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, CA, 1951, p. 488.
Zeleny, M., “Optimizing Given Systems vs. Designing Optimal Systems: The De Novo Programming Approach,” General Systems,17(1990)4, pp. 295–307.
Zeleny, M., “Measuring Criteria: Weights of Importance,” Human Systems Management,10(1991)4, pp. 237–238.
Zeleny, M.,“An Essay Into a Philosophy of MCDM: A Way of Thinking or Another Algorithm?,” Invited Essay, Computers and Operations Research,19(1992)7, pp. 563–566.
Zeleny, M., “Interactive Decision evolution Aid (IDEA),” in: Multiple Criteria Decision Making, McGraw-Hill, New York, 1982, pp. 369–373.
Zeleny, M., “MCDM: Return to Vector Optimization,” Proceedings of the 10th International Conference on MCDM, Taipei, Taiwan, July 19–24, 1992, pp. 7–14.
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© 1995 Springer Science+Business Media Dordrecht
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Zeleny, M. (1995). The Ideal-Degradation Procedure: Searching for Vector Equilibria. In: Pardalos, P.M., Siskos, Y., Zopounidis, C. (eds) Advances in Multicriteria Analysis. Nonconvex Optimization and Its Applications, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2383-0_8
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DOI: https://doi.org/10.1007/978-1-4757-2383-0_8
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