【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.更多还原

【Abstract】 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.更多还原