基于层次分析法中特征根算法的改进

Improved EM Algorithm in the AHP

通过层次分析法中专家评估信息的提取及修改,提出改进的特征根(EM)算法,其主要思想是通过判断矩阵的降阶来构造出满足C.R.指标的低阶判断矩阵,然后通过EM排序法和修改后的判断矩阵的信息,得到一个同序等价类向量,用两个算例说明此方法的实施过程,最后通过一般性的公式推导来加以验证。

According to the analytic hierarchy process in expert assessment of information extraction and modification, in this paper judgment matrix consistency problem is discussed. This work is to construct low order judgment matrix with the judgment ma- trix reduction to meet the index of C. R. and then the EM sorting method is applied to modify matrix information and to get a same sequence equivalence class vector. Two examples are given to illustrate this approach in the implementation process. Finally, the general formulas are derived to verify.