摘要
在Ｒｍ上引入Ｈβ－锥的概念，基于Ｈβ－锥的基本思想在多目标决策问题的目标空间上定义Ｈβ－序关系，是一种新的求解多目标决策问题的思维方式．本文是对Ｈβ－序关系及Ｈβ－有效点（解）集的更深入的研究，首先证明若干性质，然后给出求Ｈβ－有效点（解）集的构造法。
It is a new approach to decision problems with multicriteria that finding the efficient solutions through Hβefficient point set.The new approach is based on the concepts of Hβcone in the Euclidean space Rm and Hβorder relation in the objective space of decision problem.This paper is further study on Hβorder relation and Hβefficient point set.Some properties are shown.A method for finding the Hβefficient point set -with the Hβefficient solution set to be found consequently-is presented.
出处
《系统工程学报》
CSCD
1998年第2期78-82,共5页
Journal of Systems Engineering
基金
国务院发展研究中心上海发展研究所博士生导师专项科研基金
关键词
多目标决策问题
Hβ-序关系
Hβ-有效点
Hβ-有效解
decision problems with multicriteria,Hβorder relation,Hβefficient point,Hβefficient solution
