The Ideal-Degradation Procedure: Searching for Vector Equilibria

  • Milan Zeleny
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 5)


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.


Multiple Criterion Vector Optimization Vector Optimization Problem Nondominated Solution Multiple Criterion Decision 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Galperin, E. A., “Nonscalarized Multiobjective Global Optimization,” Journal of Optimization Theory and Applications,75(1992)1, pp. 69–86.Google Scholar
  2. 2.
    Von Neumann, J. and O. Morgenstern, Theory of Games and Economic Behavior, Third edition, Princeton University Press, Princeton, N. J., 1953, pp. 10–11.Google Scholar
  3. 3.
    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.Google Scholar
  4. 4.
    Zeleny, M., “Optimizing Given Systems vs. Designing Optimal Systems: The De Novo Programming Approach,” General Systems,17(1990)4, pp. 295–307.Google Scholar
  5. 5.
    Zeleny, M., “Measuring Criteria: Weights of Importance,” Human Systems Management,10(1991)4, pp. 237–238.Google Scholar
  6. 6.
    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.Google Scholar
  7. 7.
    Zeleny, M., “Interactive Decision evolution Aid (IDEA),” in: Multiple Criteria Decision Making, McGraw-Hill, New York, 1982, pp. 369–373.Google Scholar
  8. 8.
    Zeleny, M., “MCDM: Return to Vector Optimization,” Proceedings of the 10th International Conference on MCDM, Taipei, Taiwan, July 19–24, 1992, pp. 7–14.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Milan Zeleny
    • 1
  1. 1.Graduate School of Business AdministrationFordham University at Lincoln CenterNew YorkUSA

Personalised recommendations