语言判断矩阵的一致性及排序

Study on consistency and ranking for judgment matrix with linguistic assessment information

为了满足决策者对于不同决策的偏好,采用语言术语下标以零为中心的对称语言评估标度,给出语言判断矩阵具有完全一致性和满意一致性的充要条件,得出判断元素底数可调的导出矩阵,从而得出一种可调排序权值的确定语言判断矩阵排序向量的方法。这新方法是实用和有效的。

In order to meet DM＇s demands on different decision-making,this paper makes use of the evaluation scale of linguistic information,which used zero-centered symmetric subscript,obtains the conclusions that linguistic judgment matrix is complete consistent or weak consistent if and only if the educed matrix is same also,and then gets the educed matrix of judgment elements base number is adjustable,thereby puts forward a new method to determine the adjustable priority vectors of linguistic judgment matrix.This new method is practical and valid.