层次分析法中矩阵的判断一致性研究

Uniformity of Judgement Matrix in Analytic Hierarchy Process

目的研究层次分析法中判断矩阵可接受性及一致性的改善问题．方法引入判断一致性矩阵概念，利用判断平均特性修正矩阵的方法，进行层次分析法（ＡＨＰ）的灵敏性分析，在严格证明理论结果的基础上，对一般情况进行统计模拟．结果与结论判断一致性为在实际应用中合理接受判断矩阵打开了一个新的思路．利用判断平均特性修正矩阵法可以有效地改善判断矩阵的一致性，对层次分析法的科学运用有重要意义．

Aim To study the acceptability and the uniformity of judgement matrix, in analytic hierarchy process (AHP). Methods The concept on judging uniformity matrix was given and using the performance characteristic average of judgement to improve matrix, the sensitivity of analytic hierarchy process was discussed. The academic conclusion was strictly proved and statistical simulation was done in general case. Results and Conclusion Judging uniformity opens up a new way for accepting reasonably a judgement matrix. The method to improve judgement matrix using the performance characteristic average of judgement is effective, it has an important influence on using AHP.