国防科技大学学报2024，Vol.46Issue(1)：179-186,8.DOI:10.11887/j.cn.202401019
基于权重的AHP判断矩阵一致性调整方法
Consistency adjustment method for pairwise comparison matrix in analytic hierarchy process based on weights
摘要
Abstract
Calculated weights by traditional PCM(pairwise comparison matrix)adjustment methods can't retain the information of the original PCM to the maximum extent.Therefore,a method for PCM modulation based on the weights was proposed.The method constructed a completely consistent matrix according to the properties of weights,and the matrix was fitted by the AdaGrad method,so as to minimize the total change of the matrix relative to the original PCM.Corresponding weights was taken as the calculation result of the matrix.Numerical results show that this method can significantly improve the retention of original PCM information compared with other methods and does not require repeated consistency checking.关键词
层次分析法/判断矩阵/一致性调整/AdaGradKey words
analytic hierarchy process/pairwise comparison matrix/consistency adjustment/AdaGrad分类
管理科学引用本文复制引用
耿正霖,吴佳妮,程兴华,包长春..基于权重的AHP判断矩阵一致性调整方法[J].国防科技大学学报,2024,46(1):179-186,8.基金项目
国家自然科学基金资助项目(61702531) （61702531）
