A Kind of Unified Proper Efficiency in Vector Optimization

Ke Quan Zhao and Yuan Mei Xia

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

Based on the ideas of the classical Benson proper efficiency, a new kind of unified proper efficiency named S -Benson proper efficiency is introduced by using Assumption (B) proposed by Flores-Bazán and Hernández, which unifies some known exact and approximate proper efficiency including -proper efficiency and E -Benson proper efficiency in vector optimization. Furthermore, a characterization of S -Benson proper efficiency is established via a kind of nonlinear scalarization functions introduced by Göpfert et al.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:636907

DOI: 10.1155/2014/636907

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