一类多目标优化问题的有效性

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Efficiency for a Class of Multiobjective Optimization Problems

^{ZHAO Ke-Quan, Yang Xin-Min}

Received:2011-04-13 Revised:2011-06-19 Online:2011-09-20 Published:2011-09-29
Contact: Ke-Quan Zhao E-mail:kequanz@163.com

Abstract

Abstract: In this paper, a class of multiobjective optimization problems in which involved inequality constraints is considered. Some necessary and sufficient conditions are established for an efficient solution. Moreover, the equivalence is established between efficiency and properly efficiency by linear scalarization method under some suitable conditions. Our results improves naturally and extends some previously known results.

Key words: multiobjective optimization, $\eta-$pseudolinearity, efficient solution, properly
efficient solution

ZHAO Ke-Quan, Yang Xin-Min. Efficiency for a Class of Multiobjective Optimization Problems[J]. Operations Research Transactions.

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Efficiency for a Class of Multiobjective Optimization Problems

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