锥弱有效解的本质集和本质连通区(英文)  

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

作　　者：陈源[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《应用数学》2011年第2期284-289,共6页Mathematica Applicata

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

摘　　要：对于多目标规划问题,通过引入锥弱有效解集的概念,证明了任何连续有界泛函至少存在一个极小本质集和一个本质连通区.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 weakly 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 

分 类 号：O177.91[理学—数学]