修正AHP中判断矩阵的最佳步长算法

The best step algorithm for correcting judgment matrix in AHP

对AHP中判断矩阵一致性的修正方法进行了研究,提出了一种新的最佳步长迭代算法,该法通过分析偏离矩阵与判断矩阵之间的关系,对矩阵中偏差最大的元素进行修正,给出了确定迭代步长的简洁实用的算法,最后,通过算例说明了该算法的可行性。

This paper make a study on the method to correct judgment matrix consistency in AHP,and proposes a new iterative algorithm to the best step algorithm.This method is to modifies the elements with maximum deviation in matrix through analyzing the relation between the deviation matrix and the judgment matrix.It gets the simple algorithm in defining iterative step.Finally,a numerical example is given to illustrate effectiveness of the algorithm.