群体层次分析法的一种权重求解方法

针对群体层次分析法的权重计算问题,采用对数回归法求解。分析线性方程组,得到其系数矩阵的秩小于矩阵行数。通过修改系数矩阵的最后一行,使其为满秩,从而保证了解的唯一性。同时给出了稳定快速的基于LU分解的算法实现步骤。

A Weight Computing Method in Group Analytic Hierarchy Process(AHP)

Aiming at the weight computing problem in the group analytic hierarchy process(AHP),logarithmic regress is adopted. Analyzing the characteristic of the linear equations shows that the rank of the coefficient matrix is less than the line number of the matrix. By modifying the last row of coefficiet matrix, the matrix becomes the full rank, so the uniqueness of solution is guaranteed.At the same time,the fast and stable algorithm step based on LU decomposition is provided.