On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization

被引：0
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作者：
Kaisa Miettinen
Marko M. Mäkelä
机构：
[1] Department of Mathematical Information Technology,
[2] University of Jyväskylä,undefined
[3] P.O. Box 35 (Agora),undefined
[4] FIN-40351 Jyväskylä,undefined
[5] Finland (e-mail: {miettine,undefined
[6] makela}@mit.jyu.fi),undefined
来源：
Mathematical Methods of Operations Research | 2001年 / 53卷
关键词：
Key words: Multiple criteria; weak efficiency; proper efficiency; contingent cone; normal cone;
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摘要：
Efficient, weakly and properly Pareto optimal solutions of multiobjective optimization problems can be characterized with the help of different cones. Here, contingent, tangent and normal cones as well as cones of feasible directions are used in the characterizations. The results are first presented in convex cases and then generalized to nonconvex cases by employing local concepts.
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页码：233 / 245
页数：12
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