改善判断矩阵一致性的一种有效方法

对于层次分析法中不满足一致性条件的判断矩阵 ,提出了一种新的有效校正方法。该方法只校正判断矩阵的一行一列 ,即首先利用“方差”思想确定判断矩阵中应校正的行与列 ,然后根据对数最小二乘法原理 ,构造一个满足一致性条件的中间判断矩阵。在此基础上 ,利用取整函数 ,建立一个既有满意的一致性 ,又保留有原判断矩阵较多信息的新的判断矩阵。该方法校正速度快 ,新判断矩阵的元素具有明确含义 ,实例表明该方法是有效的

A Feasible Method for Improving the Judgment Matrix

By using the data of source judgment matrix, a new efficient improvement method is presented with this mehtod, the rank to be improved is firstly determined. Then, based on the principle of logarithmic least squares a medial matrix is proposed to meet the demand of consistency. On this basis, a new compliant judgment matrix is established with the integrating functions. The new judgment matrix possesses more information of source judgment matrix and positive ideas.Example indicates that this method is both feasible and effective.