群体多指标决策的偏好集结方法  

Preference Aggregation for Group Decision Making with Multiple Criteria

作　　者：杨雷[1] 

机构地区：[1]华南理工大学工商管理学院,广东广州510640

出　　处：《数学的实践与认识》2009年第6期121-126,共6页Mathematics in Practice and Theory

基　　金：广东省自然科学基金(8151064101000007)

摘　　要：研究多个指标条件下,利用个体决策结果形成群体一致偏好的方法、假设个体有加性效用函数,将个体多指标效用函数表示成单个指标评价函数的加权和,群体指标评价函数表示成个体指标评价函数的加权和.通过协商指标权重、指标评价函数、支付意愿三个参数,成对个体达成双方一致.提出了(n-1)对个体之间达成双方一致,从而得出群体效用函数的决策方法,这种分析框架同样可以扩展到联盟协商一致中.This paper presents an approach of preference aggregation for solving a multiple attribute group decision making problem, where the outcomes of a decision are measured using multiple attributes. We assume that the individual multiple attribute utility functions are additive, they can be expressed as the weighted sum of single-attribute evaluation functions are in turn weighted sums of individual attribute evaluation functions. The group attribute evaluation functions. The bilateral agreement between a pair of individuals could be on the wight of an attribute, on an attribute evaluation function, or on willingness to pay. Further, Our contribution is to provide decision analytic procedures to show how bilateral agreements among （n -- 1） pairs of individuals are enough to derive the group utility function. Our analytic framework can be extended to consider coaltion agreements.

关 键 词：多指标决策 群体决策 偏好集结 加性效用函数 

分 类 号：C934[经济管理—管理学]