摘要
根据互反判断矩阵和互补判断矩阵的转换公式 ,给出了互补判断矩阵的转换矩阵 .从最优化角度提出了互补判断矩阵排序的权的最小平方法 ,并给出了严格的理论证明 .而且 ,基于转换矩阵 ,提出了互补判断矩阵排序的特征向量法 (CEM) ,给出了其相应的迭代算法及互补判断矩阵的一致性检验方法 .
By using the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, this paper defines the concepts of transformation matrices of complementary judgement matrices. A weighted least\|square method for priorities of complementary judgement matrices is proposed and the strict theoretical proof is given. Furthermore, based on the transformation matrices, an eigenvector method for priorities of complementary judgement matrices is proposed, and a corresponding iterative algorithm and a consistency checking approach are also presented. Finally, an example is given to illustrate the methods and approach.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2002年第7期71-75,共5页
Systems Engineering-Theory & Practice
基金
解放军理工大学理学院青年科研基金 (Q0 2 Y0 1)
