AHP中广义判断矩阵排序向量的特征向量法  

Eigenvector Method of Weight Vector of Generalized Judgment Matrix in Analytic Hierarchy Process

作　　者：孙疆明[1] 孙黎媚 

机构地区：[1]西南财经大学经济数学系,四川成都610074 [2]陕南航空职工大学电子系,陕西汉中723000

出　　处：《西南交通大学学报》2003年第4期441-444,共4页Journal of Southwest Jiaotong University

摘　　要：通过对广义判断矩阵一致性的深入研究 ,得到了集合S ={u1,u2 ,… ,un}排序向量新的约束方程 .利用新方程组 ,可以在集合S的广义判断矩阵对应结构矩阵不可逆时求解排序向量 ,并对 6阶广义判断矩阵进行随机测试 ,适用率从 6 6 %提高到了 99.5 % .Through a deep study on the consistency of generalized judgment matrixes, new re straint equations of the weight vector of set S = u 1,u 2,...,u n are obtained. The weight vector can be solved using the equations whe n the structure matrix corresponding to the sets generalized judgment matrix is irreversible. In addition, a sixth-order generalized judgment matrix is test ed randomly, and the result shows that the scope of their application is raised from 66% to 99.5%.

关 键 词：矩阵 特征向量 广义判断矩阵 排序向量 增广矩阵 

分 类 号：O151.21[理学—数学]