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 .最后进行了算例分析 According to the conversion formulas of reciprocal judgment matrix and complementary judgment matrix, the conversion matrix of complementary judgment matrix is ​​given, and the least square method of the weight of complementary judgment matrix sorting is proposed from the perspective of optimization, and a rigorous theoretical proof is given. , A new feature vector method (CEM) is proposed based on the transformation matrix, and the corresponding iterative algorithm and consistency checking method of complementary judgment matrix are given.Finally, a case study