Two Methods for Priorities of Complementary Judgement Matrices--Weighted Least-square Method and Eigenvector Method
互补判断矩阵的两种排序方法--权的最小平方法及特征向量法

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.