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Generating well-behaved utility functions for compromise programming

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Abstract

The purpose of this paper is to seek utility functions satisfying a weak condition which guarantees that the utility optimum always belongs to the compromise set. This set is a special subset of the attainable or feasible set, which is generated through the application of the well-known operational research approach called compromise programming. It is shown that there are large families of utility functions satisfying this condition, thus reinforcing the value of compromise programming as a good surrogate of the traditional utility optimum.

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References

  1. Yu, P. L.,A Class of Solutions for Group Decision Problems, Management Science, Vol. 19, pp. 936–946, 1973.

    Google Scholar 

  2. Zeleny, M.,Compromise Programming, Multiple Criteria Decision Making, Edited by J. L. Cochrane and M. Zeleny, University of South Carolina Press, Columbia, South Carolina, pp. 262–301, 1973.

    Google Scholar 

  3. Zeleny, M.,A Concept of Compromise Solutions and the Method of the Displaced Ideal, Computers and Operations Research, Vol. 1, pp. 479–496, 1974.

    Article  Google Scholar 

  4. Yu, P. L.,Multiple-Criteria Decision Making: Concepts, Techniques, and Extensions, Plenum Press, New York, New York, 1985.

    Google Scholar 

  5. Freimer, M., andYu, P. L.,Some Results on Compromise Solutions for Group Decision Problems, Management Science, Vol. 22, pp. 688–693, 1976.

    Google Scholar 

  6. Ballestero, E., andRomero, C.,A Theorem Connecting Utility Functions Optimization and Compromise Programming, Operations Research Letters, Vol. 10, pp. 421–427, 1991.

    Article  Google Scholar 

  7. Ballestero, E., andRomero, C.,Utility Optimization When the Utility Function is Virtually Unknown, Theory and Decision, Vol. 37, pp. 233–243, 1994.

    Article  Google Scholar 

  8. John, F.,Partial Differential Equations, Springer Verlag, New York, New York, 1980.

    Google Scholar 

  9. Hirsch, M. W.,Differential Topology, Springer Verlag, New York, New York, 1976.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Unidad Docente de Matemáticas, Escuela Técnica Superior de Ingenieros de Montes, Universidad Politécnica de Madrid, Madrid, Spain

    M. A. Morón (Associate Professor)

  2. Departamento de Economía y Gestión, Escuela Técnica Superior de Ingenieros de Montes, Universidad Politécnica de Madrid, Madrid, Spain

    C. Romero (Professor) & F. R. Ruiz del Portal (Associate Professor)

Authors
  1. M. A. Morón
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  2. C. Romero
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  3. F. R. Ruiz del Portal
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Additional information

Communicated by P. L. Yu

Thanks are due to the reviewers for their helpful suggestions. The English editing by Ms. Christine Méndez is appreciated. The authors have been supported by the Comisión Interministerial de Ciencia y Tecnología (CICYT), Madrid, Spain.

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Morón, M.A., Romero, C. & del Portal, F.R.R. Generating well-behaved utility functions for compromise programming. J Optim Theory Appl 91, 643–649 (1996). https://doi.org/10.1007/BF02190125

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