College of Information and Communication, National University of Defense Technology

针对层次分析法中原始判断矩阵一致性较差的问题,分析现有矩阵一致性调整方法.考虑判断矩阵中导致一致性较差的误差由来不同,在几何平均一致性调整方法基础上,提出一种基于误差识别的矩阵一致性调整方法.在不同矩阵阶次和不同偶然误差数量情况下对改进的调整方法进行仿真,仿真结果验证了方法能有效识别专家偶然误差并快速地将判断矩阵调整至满足一致性比率要求.

Aiming at the poor consistency of original judgment matrix in analytic hierarchy process, the existingmatrix consistency adjustment methods are analyzed. Considering the different causes of errors leading to poorconsistency in the judgment matrix, based on the consistency adjustment method with geometric average, amatrix consistency adjustment method based on error identification is proposed. The improved adjustment methodis simulated for different matrix orders and different accidental errors. Simulation results show that the method caneffectively identify the expert accidental error and quickly adjust the judgment matrix to meet the requirements ofconsistency ratio.

陕西省自然科学基金资助项目(2019JQ-716)

邓鹏,陈小宇,吴波.一种改进的AHP判断矩阵一致性调整方法[J].湖南科技大学学报(自然科学版),2024,39(3):102-108.

DENG P, CHEN X Y, WU B. An Improved Consistency Adjustment Method of Judgment Matrix for AHP [ J] . Journal of HunanUniversity of Science and Technology ( Natural Science Edition) , 2024, 39( 3) : 102-108.