摘要
该文给出群组决策特征根法（ＧＥＭ）的对偶形式———群组决策加权法（ＷＭＧＤ）、ＷＭＧＤ从评分向量的内积的角度考虑问题，直观地给出信息阵是否不可约的判定，同时给出将可约信息阵修改为不可约矩阵的方法和依据，这些结果不仅可以用来弥补ＧＥＭ的不足，而且为贝叶斯群组决策提供了基础．
In this paper,the duality of group eigenvalue method on group decision (GEM) the weighted method on group decision (WMGD) is proposed.Based on the inner product of score vectors,a criterion of an information matrix being irreducible is given intuitvely.And the method to modify the reducible information matrix to irreducible one is presented.This method is valid in the sense that it can keep the order of the eigenvalues of the information matrices which are modified or not.The results can be used to cure the oversight in GEM.And they may be used to set a base for Bayesian method on group decision.
出处
《江西师范大学学报（自然科学版）》
CAS
1999年第1期49-52,61,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
江西省自然科学基金
关键词
群组决策
奇异值分解
加权法
决策
group decision
singular value decomposition
the weighted method
