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On the Monotonicity of the Compromise Set in Multicriteria Problems

Author

Listed:
  • F. Blasco

    (Universidad Politécnica de Madrid)

  • E. Cuchillo-Ibáñez

    (Universidad Politécnica de Madrid)

  • M. A. Morón

    (Universidad Politécnica de Madrid)

  • C. Romero

    (Universidad Politécnica de Madrid)

Abstract

This paper discusses the extension of results on monotonicity of the compromise set valid for bicriteria problems to general multicriteria problems under a very general condition, which is assumable in compromise programming problems coming from economics. Mainly, the problem that we treat is the following: find and describe the compromise set when the feasible set is a convex set in the positive cone, limited by a level hypersurface of a differentiable production–transformation function. This scenario is usual in many economic applications, chiefly in production analysis.

Suggested Citation

  • F. Blasco & E. Cuchillo-Ibáñez & M. A. Morón & C. Romero, 1999. "On the Monotonicity of the Compromise Set in Multicriteria Problems," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 69-82, July.
    • Handle: RePEc:spr:joptap:v:102:y:1999:i:1:d:10.1023_a:1021838311346
    DOI: 10.1023/A:1021838311346
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    References listed on IDEAS

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    1. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
    2. M. Freimer & P. L. Yu, 1976. "Some New Results on Compromise Solutions for Group Decision Problems," Management Science, INFORMS, vol. 22(6), pages 688-693, February.
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    Cited by:

    1. Arenas Parra, M. & Bilbao Terol, A. & Perez Gladish, B. & Rodriguez Uria, M. V., 2005. "Solving a multiobjective possibilistic problem through compromise programming," European Journal of Operational Research, Elsevier, vol. 164(3), pages 748-759, August.
    2. Enrique Ballestero & David Pla-Santamaria, 2005. "Grading the performance of market indicators with utility benchmarks selected from Footsie: a 2000 case study," Applied Economics, Taylor & Francis Journals, vol. 37(18), pages 2147-2160.
    3. María Romero & María Luisa Cuadrado & Luis Romero & Carlos Romero, 2020. "Optimum acceptability of telecommunications networks: a multi-criteria approach," Operational Research, Springer, vol. 20(3), pages 1899-1911, September.

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