基于语言判断矩阵的专家群体判断一致性分析

针对群决策中基于语言判断矩阵的专家群体判断一致性问题，提出了一种分析方法．首先给出有关语言判断矩阵，导出矩阵和相客性的若干定义，得出了语言判断矩阵具有完全一致性或满意一致性的充要条件，其相应的导出矩阵也具有同样的结论；然后通过定义有关专家群体判断各个方案以及专家群体判断的一致性指标，给出了专家群体判断一致性的判别方法及专家群体判断不一致的调整方法；最后通过一个算例说明了所提出方法的有效性。

Consistency Analysis of Expert Group's Judgments Based on Linguistic Judgment Matrices

An analytic method is proposed for the consistence problem of expert group's judgments based on linguistic judgment matrices. Concepts of the linguistic judgment matrix,educed matrix and compatibility are introduced.A linguistic judgment matrix is shown to be complete consistent or weak consistent if and only if the corresponding educed matrix is complete or weak consistent.Then,a judgment approach to the consistency of expert group's judgment and an improving approach to the non-consistency of expert group's judgment are proposed based on definitions of the consistency level of each alternative and the consensus index of expert group's judgment.Finally,a numerical example shows the effectiveness of the proposed method.