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
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)