A necessary and sufficient condition to a Pareto optimal without optimizing the weighting criterion

A necessary and sufficient condition to a Pareto optimal without optimizing the weighting criterion

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Article ID: iaor2002886
Country: Spain
Volume: 5
Issue: 2
Start Page Number: 307
End Page Number: 320
Publication Date: Jul 1997
Journal: TOP
Authors: ,
Abstract:

The easiest technique to reduce the classical multiple criteria decision problem into a reasonable single criterion decision problem is the weighting method. Po-Lung Yu gives a well known necessary condition for y0 to be a Pareto optimal, namely y0 maximizes λty over Y, for some λ ε ℝp, such that λi ≥ 0 for all i and some λj > 0. In this brief note we generalize the necessary condition of Po-Lung Yu.

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