摘要
本文引进群体决策的决策个体和决策群体关于供选方案对的偏比度,以及偏比泛函概念.由此,定义了群体在供选方案集上的偏比映射,构造了相应的偏比公理系,并且建立了关于群体决策的偏比度分析的基本理论.最后,给出一个利用偏比映射进行群体排序的方法.特别是,文中表明,满足本文所提出的所有偏比公理的偏比映射是存在的.
In this paper, the preference-ratio measure relative to a pair of alternatives and the preference-ratio functional are introduced, respectively, for an individual and a group in group decision making. Thus, the group preference-ratio mapping is defined, the corresponding preference-ratio axiom system is structured, and the fundamental theory on preference-ratio mapping is established in group decision making. Furthermore, a group sequencing method is proposed by means of preference-ratio mapping. Particularly, there does exist a group preference-ratio mapping that satisfies the preference-ratio axiom system stated in this paper.
出处
《系统科学与数学》
CSCD
北大核心
2003年第4期559-565,共7页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(No.70071026)资助课题
关键词
群体决策
偏比映射
偏比泛函
偏比公理系
Group decision making, preference-ratio measure, preference-ratio functional, preference-ratio mapping, preference-ratio axiom.
