AHP中广义判断矩阵排序向量的特征向量法

Eigenvector Method of Weight Vector of Generalized Judgment Matrix in Analytic Hierarchy Process

摘要: 通过对广义判断矩阵一致性的深入研究,得到了集合S={u1,u2,…,un}排序向量新的约束方程.利用新方程组,可以在集合S的广义判断矩阵对应结构矩阵不可逆时求解排序向量,并对6阶广义判断矩阵进行随机测试,适用率从66%提高到了99.5%.
- 矩阵 /
- 特征向量 /
- 广义判断矩阵 /
- 排序向量 /
- 增广矩阵
Abstract: Through a deep study on the consistency of generalized judgment matrixes, new restraint equations of the weight vector of setS=u1,u2,...,unare obtained. The weight vector can be solved using the equations when the structure matrix corresponding to the set s generalized judgment matrix is irreversible. In addition, a sixth-order generalized judgment matrix is tested randomly, and the result shows that the scope of their application is raised from 66% to 99.5%.
- matrix /
- eigenvector /
- generalized judgment matrix /
- weight vector /
- augmented matrix

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