判断矩阵权重向量的拉格朗日解

Lagrange's Solution of Judgment Matrix Weight Vector

本文推导了用最小二乘法原理和拉格朗日乘子方法,求解判断矩阵权重向量的计算方法,举例说明了最大特征值法在判断矩阵一致性准则临界处所得权重向量的最大偏差.

In this paper, computing method of solving weight vector of judgment matrix by means of the least squares principle and the Lagrange's multiplier method is derived. Maximal deviation of weight vector which was obtained at critical value of judgment matrix compatibility criterion by means of maximal eigenvalue and it's eigenvector method is demonstrated by means of some examples.