AHP方法中关于判断矩阵一致性的研究  

Study on Consistency of Judgment Matrix in Analytic Hierarchy Process

作　　者：王斌[1] 常显奇[2] 陈浩光[3] 

机构地区：[1]装备指挥技术学院,研究生部,北京,101416 [2]装备指挥技术学院,北京,101416 [3]装备指挥技术学院,试验指挥系,北京,101416

出　　处：《装备指挥技术学院学报》2002年第5期100-103,共4页Journal of the Academy of Equipment Command & Technology

摘　　要：从分析判断矩阵的特征根出发,推导出判断矩阵一致性和特征根的关系,即判断矩阵的最大特征根越接近于判断矩阵的维数,则该判断矩阵的一致性越好.以此为基础,进一步得出了判断矩阵一致性检验的原理和方法;给出了对判断矩阵进行一致性调整的原则.最后根据这一调整原则,提出了一种新的一致性调整的方法,并以一个实例验证该方法的正确性和可行性.In this paper, the characteristic root of judgment matrix is discussed. And the relationship between the consistency and characteristic root of judgment matrixis analyzed, the nearer is the characteristic root close to the dimension of judgment matrix is analyzed.The better is the consistency of judgment matrix . According to the above, the primary theory and methods of consistency examination of judgment matrix and the primary rules of regulating it is acquired. According to these rules, a new means of regulating judgment matrix is also introduced, the validity and feasibility of this method is validated by an example.

关 键 词：AHP方法 判断矩阵 一致性 系统分析 层次分析法 

分 类 号：N94[自然科学总论—系统科学]