A necessary and sufficient condition to a pareto optimal without optimizing the weighting criterion |
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Authors: | M Sánchez M I Sobrón |
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Institution: | (1) Dept. of Statistic and Oper. Research, Universidad Complutense de Madrid, 28040 Madrid, Spain |
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Abstract: | The easiest thecnique to reduce the classical multiple criteria decision problem into a reasonable single criterion decision
problem is the weighting method. Po-Lung Yu (1985) gives a well known necessary condition fory
0 to be a Pareto optimal, namelyy
0 maximizes λty overY, for some λ ∈ℝ
p, such that λi≥0 for alli and some λj>0. In this brief note we generalize the necessary condition of Po-Lung Yu. |
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Keywords: | Multiple Criteria Decision Problem (MCDP) A-compact set Λ -convex set Λ ≥ -valuable MCDP |
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