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锥弱有效解的本质集和本质连通区

陈源

应用数学2011,Vol.24Issue(2):284-289,6.
应用数学2011,Vol.24Issue(2):284-289,6.

锥弱有效解的本质集和本质连通区

Essential Set and Essential Component of Weakly Efficient Solutions on the Cone

陈源1

作者信息

  • 1. 衡阳师范学院数学与计算科学系,湖南衡阳421002
  • 折叠

摘要

Abstract

For a problem of multiple objective programming,we prove that for any continuous and bounded function,there exists at least one minimal essential set and one essential connected component of the set of weakly efficient solutions as regards the cone by introducing the notion of the set of weaklv efficient solutions with respect to the cone.

关键词

多目标规划/弱有效解/本质集/本质连通区

Key words

Key words: Multiple objective programming/Weakly efficient solution/Essential set/Essential component

分类

数理科学

引用本文复制引用

陈源..锥弱有效解的本质集和本质连通区[J].应用数学,2011,24(2):284-289,6.

基金项目

Foundation item:Supported by the Scientific Research Fund of Hunan Provincial Education Department (08C177) (08C177)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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