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Equivalent Information for Multiobjective Interactive Procedures

Author

Listed:
  • Mariano Luque

    (Department of Applied Economics (Mathematics), School of Economics and Management, University of Málaga, Calle Ejido, 6, 29071-Málaga, Spain)

  • Rafael Caballero

    (Department of Applied Economics (Mathematics), School of Economics and Management, University of Málaga, Calle Ejido, 6, 29071-Málaga, Spain)

  • Julian Molina

    (Department of Applied Economics (Mathematics), School of Economics and Management, University of Málaga, Calle Ejido, 6, 29071-Málaga, Spain)

  • Francisco Ruiz

    (Department of Applied Economics (Mathematics), School of Economics and Management, University of Málaga, Calle Ejido, 6, 29071-Málaga, Spain)

Abstract

Despite the mathematical properties and algorithmic features of an interactive method, that method's success usually lies in the kind of information it requires from the decision maker. In some cases, this information constrains the decision maker. If she does not find it easy and comfortable to answer the questions posed by the algorithm, then she will very likely give inconsistent answers, and the method will fail to find her most preferred solution. Therefore, it is of interest to find relations among the different kinds of information (local weights, local trade-offs, reference points, etc.) to allow the decision maker to choose what kind of questions he wants to answer, and to provide him with enough information to give such answers. In this paper, we define equivalent information--that is, different kinds of information--that produces the same solution when used in their corresponding interactive schemes.

Suggested Citation

  • Mariano Luque & Rafael Caballero & Julian Molina & Francisco Ruiz, 2007. "Equivalent Information for Multiobjective Interactive Procedures," Management Science, INFORMS, vol. 53(1), pages 125-134, January.
    • Handle: RePEc:inm:ormnsc:v:53:y:2007:i:1:p:125-134
    DOI: 10.1287/mnsc.1060.0595
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    References listed on IDEAS

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    1. Gardiner, Lorraine R. & Steuer, Ralph E., 1994. "Unified interactive multiple objective programming," European Journal of Operational Research, Elsevier, vol. 74(3), pages 391-406, May.
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    Citations

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    Cited by:

    1. Rafael Lazimy, 2013. "Interactive Polyhedral Outer Approximation (IPOA) strategy for general multiobjective optimization problems," Annals of Operations Research, Springer, vol. 210(1), pages 73-99, November.
    2. Rafael Rodríguez & Mariano Luque & Mercedes González, 2011. "Portfolio selection in the Spanish stock market by interactive multiobjective programming," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 213-231, July.
    3. Luque, Mariano & Miettinen, Kaisa & Eskelinen, Petri & Ruiz, Francisco, 2009. "Incorporating preference information in interactive reference point methods for multiobjective optimization," Omega, Elsevier, vol. 37(2), pages 450-462, April.
    4. J. Cabello & M. Luque & F. Miguel & A. Ruiz & F. Ruiz, 2014. "A multiobjective interactive approach to determine the optimal electricity mix in Andalucía (Spain)," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 109-127, April.

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