Blasco Contreras, Fernando and Cuchillo Ibáñez, Eduardo and Morón, Manuel A. and Romero López, Carlos
(1999)
*On the monotonicity of the compromise set in multicriteria problems.*
Journal of optimization theory and applications, 102
(1).
pp. 69-82.
ISSN 0022-3239

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## 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.

Item Type: | Article |
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Uncontrolled Keywords: | Optimization; compromise programming; compromise set; convexity; economics; monotonicity; p-norms |

Subjects: | Sciences > Mathematics > Set theory Sciences > Mathematics > Topology |

ID Code: | 15447 |

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Deposited On: | 31 May 2012 10:38 |

Last Modified: | 06 Feb 2014 10:24 |

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