基于不同粒度语言判断矩阵的群体一致性分析方法

针对群决策中基于不同粒度语言判断矩阵形式偏好信息的群体一致性问题，提出了一种分析方法。首先，给出有关不同粒度语言判断矩阵和二元语义等若干定义，通过转换函数将不同粒度语言判断矩阵一致化为由二元语义表示的判断矩阵；然后，通过定义专家与群偏好的偏差矩阵以及各专家的总体偏差指标，给出了专家群体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该方法的有效性。

A Method for Consensus Analysis in Group Decision-making Based on Multi-granularity Linguistic Judgment Matrices

An method is proposed to analyse the group consensus in group decision making based on multi-granularity linguistic judgment matrices. First, the definitions of the multi-granularity linguistic judgment matrix and two-tuple linguistic representation are introduced. The multi-granularity linguistic judgment matrices are uniformed into the format of two-tuple linguistic information assessed in the basic linguistic term set according to the transformation function. Then, a judgment method for the group consensus and an improving method for the group consensus are proposed based on definitions of the deviation matrix between experts and the group preference and the overall deviation index of each expert. Finally, an example shows the effectiveness of the proposed method.