作　　者： ; ; ; ; ;

机构地区： 华南理工大学理学院数学与应用数学系

出　　处： 《数学的实践与认识》 2012年第7期93-100,共8页

摘　　要： 介绍层次分析法的基本概念,同时也分析了层次分析法权重的计算方法及应用,层次分析法的计算方法有四种方法:几何平均法、算术平均法、特征向量法、最小二乘法,以往的文献利用层次分析法解决实际问题时,都是采用其中的某一种方法求权重向量,不同的方法会导致结果有些偏差,将对一具体实例,采用四种计算方法分别得出权重向量再进行排序和综合分析,这样可以避免采用单一方法所产生的偏差,得出的结论将更全面、更有效。 The basic concept of Analytical Hierarchy Process （AHP） is introduced, and the computation methods to AHP and its applications are analyzed in this paper. As to AHP, there are the following four computation methods： Geometric Average （GA）, Arithmetic Average （AA）, Eigenvector Method （EM）, and Least Squares （LS）. In most literatures, one of the four computation methods of AHP is used to solve weight vector in analyzing some practical problems. As a result, different methods can induce different results with warps. In this paper, four computation methods are used to solve weight vectors of a practical example, respectively, and then these corresponding results are sorted order and synthetically analyzed in order to avoid the warps produced by using one method. Furthermore, the comprehensive and effective results are obtained.

关 键 词： 层次分析法 判断矩阵 权重向量 一致性检验

领　　域： [理学] [理学]