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
Restricted to Repository staff only until 31 December 2020.
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.
|Uncontrolled Keywords:||Optimization; compromise programming; compromise set; convexity; economics; monotonicity; p-norms|
|Subjects:||Sciences > Mathematics > Set theory|
Sciences > Mathematics > Topology
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|Deposited On:||31 May 2012 12:38|
|Last Modified:||05 Nov 2013 16:21|