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层次分析方法中层次单排序的新方法
引用本文:黄德才.层次分析方法中层次单排序的新方法[J].控制与决策,1998,13(6):705-708.
作者姓名:黄德才
作者单位:浙江工业大学信息工程学院
摘    要:针对层次分析方法中传统的层次单排序方法存在的弊端,提出一种新的层次单排序方法,该方法不需判断矩阵和一致性检验,通过解线性方程组直接获得各因素关于上层因素的重要性权值,且保证了因素间重要程度的传递性以及相对重要程度的不变性。新方法在实际中使用更为方便。

关 键 词:层次分析法,线性方程组,一致性检验

New Method for Single-level Sequencing in the Analytic Hierarchy Process
Huang Decai.New Method for Single-level Sequencing in the Analytic Hierarchy Process[J].Control and Decision,1998,13(6):705-708.
Authors:Huang Decai
Affiliation:Zhejiang University of Technology
Abstract:This paper presented a new method for ranking the alternatives in AHP, different from the traditional methods, it can directly obtain the importance weight of each alternative by only solving alinear equations, without any given criteria or the paired comparison matrix. Moreover, it keeps the transitivity among the alternatives and the relative importance between arbitrary two neighbouring alternatives in the entire sequence ranked. The new method is more convenient in practical use.
Keywords:AHP  linear equations  consistency checking
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