On the Monotonicity of the Compromise Set in Multicriteria Problems

  • F. Blasco
  • E. Cuchillo-Ibáñez
  • M. A. Morón
  • C. Romero
Article

DOI: 10.1023/A:1021838311346

Cite this article as:
Blasco, F., Cuchillo-Ibáñez, E., Morón, M.A. et al. Journal of Optimization Theory and Applications (1999) 102: 69. doi:10.1023/A:1021838311346

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.

Compromise programming compromise set convexity economics monotonicity p-norms 

Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • F. Blasco
    • 1
  • E. Cuchillo-Ibáñez
    • 1
  • M. A. Morón
    • 1
  • C. Romero
    • 2
  1. 1.Departamento de Matemática Aplicada a los Recursos Naturales, Escuela Técnica Superior de Ingenieros de MontesUniversidad Politécnica de MadridMadridSpain
  2. 2.Departamento de Economía y Gestión, Escuela Técnica Superior de Ingenieros de MontesUniversidad Politécnica de MadridMadridSpain