给定分布下群体思维收敛性定量证明

Prove on convergence of group thought under the given distribution

在给出客观判断矩阵的随机干扰因子分布的条件下,证明了当专家数足够多时,加权几何平均综合判断矩阵依概率收敛到客观判断矩阵;当2δ充分小时,加权算术平均综合判断矩阵依概率收敛到客观判断矩阵.

Under the giving conditions of an objective judgment matrix in the distribution of a stochastic perturbation factor, the weighted geometric mean complex judgment matrix will converge in probability to an objective judgment matrix is proved when exists adequate experts. When δ2→0, the weighted arithmetic mean complex judgment matrix will converge in probability to an objective judgment matrix.