摘要
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 existing matrix consistency adjustment methods are analyzed.Considering the different causes of errors leading to poor consistency in the judgment matrix,based on the consistency adjustment method with geometric average,a matrix consistency adjustment method based on error identification is proposed.The improved adjustment method is simulated for different matrix orders and different accidental errors.Simulation results show that the method can effectively identify the expert accidental error and quickly adjust the judgment matrix to meet the requirements of consistency ratio.
作者
邓鹏
陈小宇
吴波
DENG Peng;CHEN Xiaoyu;WU Bo(College of Information and Communication,National University of Defense Technology,Wuhan 430030,China)
出处
《湖南科技大学学报（自然科学版）》
CAS
北大核心
2024年第3期102-108,共7页
Journal of Hunan University of Science And Technology：Natural Science Edition
基金
陕西省自然科学基金资助项目(2019JQ-716)。
关键词
层次分析法(AHP)
判断矩阵
一致性调整
误差识别
analytic hierarchy process(AHP)
judgment matrix
consistency adjustment
error identification
