判断矩阵的最少元素构造法

Minimum Factor Constitution Method of Judging Matrix

在层次分析法中构造判断矩阵并使判断矩阵具有一致性是非常关键的。为减少正互反矩阵两两比较的复杂性,降低计算难度,从判断矩阵的构造入手,首先确定相对独立的主对角线上(下)侧元素,而非独立元素就按照一致性原理计算。利用最少的元素构造判断矩阵,使构造矩阵过程简洁,效率提高,满足一致性的要求。

In the hierarchical analysis method,it is crucial to constitute judging matrixes and make matrixes consistent.To reduce the complexity of positive and negative matrixes,lower the difficulty of calculation,the article starts with the constitution of judging matrixes,determines the relatively independent upper（lower） factors of the main diagonal,and calculates non-independent factors according to the consistency principle.Making use of the minimum factors to constitute judging matrixes can simplify the process of matrix constitution,enhance the efficiency,and meet the consistency requirement.