层次分析法中群体决策的特征根排序法

本文将 AHP 中特征根排序法推广到群体 AHP 决策中,定义3群体决策的二次判断矩阵与群体特征权重向量。给出了群体特征权重向量存在的充要条件,在二次判断矩阵可逆的条件下,引入最优化问题并给出了群体特征权重向量的最优估计的计算公式,以及加权形式的最优估计的计算公式。

THE EIGENVALUE METHOD OF THE GROUP DECISION-MAKING IN AHP

This paper extends the eigenvalue method in the AHP to the group AHP and gives definitions of the quadratic judgement matrix and the group weight eigenvector.The sufficient and necessary condition of the existence of the group weight eigenvector is derived.Under the condition of invertibility of the quadratic judgement matrix the opti- mization problem is introduced and the formula for calculating optimum estimates of the group weight eigenvector and its weighted version are given.