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用最小二乘法求解判断矩阵的权重向量
摘    要:本文推导了用最小二乘法原理和拉格朝日乘子方法,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极重向量的最大偏差。

关 键 词:最小二乘法  拉格朗日乘子法  层次分析法  判断矩阵  权重向量

To Solve Weight Vector of Judgment Matrix by Method of the Least Squares
Deng Yujun. To Solve Weight Vector of Judgment Matrix by Method of the Least Squares[J]. Journal of Changchun University of Science and Technology, 1995, 0(1)
Authors:Deng Yujun
Abstract: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 ofweight vector which was obtained at critical value of judgment matrix compatibility criterion by meansof maximal eigenvalue and it's eigenvector method is demonstrated by means of some examples.
Keywords:method of the least squares  Lagrangian multiplier   AHP  judment matrix  weight vector  
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