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On approximate efficiency in multiobjective programming - MaRDI portal

On approximate efficiency in multiobjective programming (Q857826)

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scientific article; zbMATH DE number 5081921
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On approximate efficiency in multiobjective programming
scientific article; zbMATH DE number 5081921

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    On approximate efficiency in multiobjective programming (English)
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    5 January 2007
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    A new definition for approximate efficiency is given for vector, that is, multi-objective optimization. Relations of this new \(\varepsilon\)-efficiency with existing corresponding approximate efficiency concepts are studied. Necessary and sufficient conditions for \(\varepsilon\)-efficiency are presented for convex problems using the well-known weighting method. In this setting, also parametric representations are discussed.
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    multi-objective optimization
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    \(\varepsilon\)-efficiency
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