用度量矩阵和偏差矩阵加速修改AHP中判断矩阵的多对元素交叉方法  

A ACCELERATING INTERSECTION METHOD TO RECTIFY MULTI-ELEMENT OF A JUDGMENT MATRIX ON AHP THROUGH MEASURE MATRIX AND DEVIATION MATRIX

作　　者：詹棠森[1] 万隆昌 邱望仁[1] 

机构地区：[1]景德镇陶瓷学院信息工程学院,333001 [2]景德镇高等专科学校数学与计算科学系

出　　处：《数值计算与计算机应用》2005年第2期141-148,共8页Journal on Numerical Methods and Computer Applications

摘　　要：本文通过分析判断矩阵,一致性矩阵,导出矩阵及度量矩阵的关系,提出一种用度量矩阵和导出矩阵交叉加速修改AHP中的判断矩阵.当判断矩阵的一致性较差时,基于导出矩阵和度量矩阵中偏离大的元素对判断矩阵一致性的影响较大,通过度量矩阵得出加速修正的步长.每次修改判断矩阵的一对元素即可进行判断矩阵的修正.实例分析表明,交叉修正法是可行的,且可根据问题的性质,灵活确定修正的步长.Through analyzing relation judgment matrix, consistency matrix, induced matrix and measure matrix, A Accelerating Method to Rectify a Judgment Matrix on AHP through Intersecting of Measure Matrix and Induced matrix is put forword. The first, the rectified element is found by element of absolute value maximum on deviation matrix, when the judgment matrix has poor consistency. The second,a step length of rectifying judgment matrix is got through measure matrix. The example indicates that intersecting method to rectify is probable.

关 键 词：判断矩阵 矩阵和 AHP 交叉 元素 速修 偏差矩阵 度量矩阵 导出矩阵 一致性矩阵 分析表 修正法 步长 

分 类 号：O151.21[理学—数学]