AHP中不一致判断矩阵调整方法的改进  

Improved Method for the Consistency of Judgment Matrix in AHP

作　　者：张惠源[1] 王江[2] 

机构地区：[1]唐山职业技术学院教务处,河北唐山063000 [2]唐山职业技术学院信息工程系,河北唐山063000

出　　处：《数学的实践与认识》2013年第7期150-153,共4页Mathematics in Practice and Theory

基　　金：河北省唐山市科技指导项目(12140215a;12110210b)

摘　　要：针对AHP中不一致性判断矩阵,提出了一种新的调整方法.通过分析诱导矩阵与判断矩阵之间的关系,用元素的几何平均值对矩阵中偏差最大的元素逐个修正,直到判断矩阵达到满意的一致性.该算法利用原始判断信息修正单个元素,提高了判断矩阵修正速度,简洁、实用.In this paper, a new method was proposed to solve the problem of the inconsis- tency of the judgment matrix in AHP. The method analyzed the relationship ＇of the induced matrix and judgment matrix, and then modified the elements of maximum deviation in judg- ment matrix by the geometric mean of the matrix, one by one. It would be stopped until the judgment matrix accorded with consistency. The algorithm, which using the original information of judgment to correct individual elements improved correction speed of the judgment matrix. It was proved to be simple and practical.

关 键 词：AHP 一致性 诱导矩阵 几何平均 

分 类 号：O151.21[理学—数学]