摘要
传统的判断矩阵调整方法计算得到的权重不能最大限度地保留原始判断矩阵的信息。为此,提出一种基于权重的判断矩阵调整方法。该方法根据权重的性质,构造完全一致矩阵,利用AdaGrad最速下降法对矩阵进行拟合,使该矩阵相对于原始判断矩阵的总改变量最小,以其对应的权重作为矩阵的计算结果。数值计算结果表明,该方法相比于其他方法,权重对原始判断信息的保留度更高,且不需要反复进行矩阵一致性检验。
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.
作者
耿正霖
吴佳妮
程兴华
包长春
GENG Zhenglin;WU Jiani;CHENG Xinghua;BAO Changchun(College of Meteorology and Oceanography,National University of Defense Technology,Changsha 410073,China)
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
2024年第1期179-186,共8页
Journal of National University of Defense Technology
基金
国家自然科学基金资助项目(61702531)。
关键词
层次分析法
判断矩阵
一致性调整
AdaGrad
analytic hierarchy process
pairwise comparison matrix
consistency adjustment
AdaGrad