华东师范大学学报(自然科学版) ›› 2008, Vol. 2008 ›› Issue (2): 135-140.

• 数学 • 上一篇    

锥序扰动下多目标规划的一类稳定性

李志刚,周轩伟   

  1. 温州大学 数学与信息科学学院, 浙江 温州 325035
  • 收稿日期:2007-01-02 修回日期:2007-04-07 出版日期:2008-03-25 发布日期:2008-03-25
  • 通讯作者: 周轩伟

Stabilities for multiobjective programming under conical order perturbations(Chinese)

LI Zhi-gang,ZHOU Xuan-wei   

  1. School of Mathematics and Information Science, Wenzhou University, Wenzhou Zhejiang 325035, China
  • Received:2007-01-02 Revised:2007-04-07 Online:2008-03-25 Published:2008-03-25
  • Contact: ZHOU Xuan-wei

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摘要： 利用锥序列的P-K收敛概念,讨论了锥序扰动而可行集固定的情况下有效点集和弱有效点集的稳定性问题.还给出了多目标规划的有效解集和弱有效解集的稳定性,得到了线性算子下的稳定性结果.

关键词: 锥序扰动, 有效解集, 弱有效解集, P-K收敛, 锥序扰动, 有效解集, 弱有效解集, P-K收敛

Abstract: In this paper the stabilities of the efficient points and the weak efficient points were discussed under cone order perturbations with fixed feasible set, in the sense of Painleve-Kuratowski convergence of set sequence. The stabilities of the same kind of multiobjective programming problems were also given, and the stability results under the linear operators were obtained.

Key words: efficient solutions set, weakly efficient solutions set, P-K convergence, cone order perturbations, efficient solutions set, weakly efficient solutions set, P-K convergence

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