摘要
群体多目标决策是群体决策和多目标决策的一个交叉研究领域.借助供选方案的有效数,文[1]引进了群体多目标决策问题的联合有效解类概念,并且建立了这些解类的K-T最优性条件.本文研究这类解的几何特性,得到若干基本的必要条件和充分条件.
Group multiple criteria decision making (GMCDM) is an overlapping field of group decision making and multiple criteria decision making. With the help of efficient numbers of alternatives, concepts of a class of joint efficient solutions and K-T optimality conditions of these solutions are both presented for the GMCDM problem in paper [1]. In this paper, the geometric characterizations of the joint efficient solutions are studied, and some basic necessary conditions and sufficient conditions are obtained.
出处
《运筹学学报》
CSCD
北大核心
2001年第3期21-28,共8页
Operations Research Transactions
基金
Project supported by the National Natural Science Foundation of China, No.70071026.
关键词
群体决策
多目标决策
联合有效解
几何特性
K-T最优性条件
group decision making, multiple criteria decision making, preference relation, jiont efficient solution,geometric characterization.