On the Monotonicity of the Compromise Set in Multicriteria Problems
F. Blasco,
E. Cuchillo-Ibáñez,
M. A. Morón and
C. Romero
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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
Journal of Optimization Theory and Applications, 1999, vol. 102, issue 1, No 5, 69-82
Abstract:
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.
Keywords: Compromise programming; compromise set; convexity; economics; monotonicity; p-norms (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021838311346
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