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运筹学学报

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一类多目标优化问题的有效性

 赵克全 杨新民   

  1. 1. 重庆师范大学
    2. 重庆师范大学数学科学学院
  • 收稿日期:2011-04-13 修回日期:2011-06-19 出版日期:2011-09-20 发布日期:2011-09-29
  • 通讯作者: 赵克全 E-mail:kequanz@163.com

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

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1826

被引次数

3

摘要： 本文研究了一类带不等式约束的多目标优化问题，给出了该类问题的有效解的一些充分必要条件，在适当条件下利用线性标量化方法证明了其有效解和真有效解的等价性。本文的主要结论是对最近一些文献中相应结果的改进与推广。

关键词:  多目标优化, $\eta-$伪线性, 有效解, 真有效解

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