用和法和根法求判断矩阵权重向量和特征值

2025-03-14 12:54:00
推荐回答(1个)
回答(1):

根据以下的计算过程可知权重不能是负数的
1、建立递阶层次结构;   
2、构造两两比较判断矩阵;(正互反矩阵)   
对各指标之间进行两两对比之后,然后按9分位比率排定各评价指标的相对优劣顺序,依次构造出评价指标的判断矩阵。   
3、针对某一个标准,计算各备选元素的权重;   
关于判断矩阵权重计算的方法有两种,即几何平均法(根法)和规范列平均法(和法)。   (1)几何平均法(根法)   
计算判断矩阵A各行各个元素mi的乘积;   
计算mi的n次方根;   
对向量进行归一化处理;   
该向量即为所求权重向量。   
(2)规范列平均法(和法)   
计算判断矩阵A各行各个元素mi的和;   
将A的各行元素的和进行归一化;   
该向量即为所求权重向量。   
计算矩阵A的最大特征值?max   
对于任意的i=1,2,…,n, 式中为向量AW的第i个元素

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