不同粒度语言信息的群体一致性判别和改进方法

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判断和改进问题,提出了一种新的分析方法.首先,根据专家给出的不同粒度语言判断矩阵,采用LOWA集结算子确定个体方案排序的序关系值向量;然后,以群体与专家个体意见偏差最小为目标建立目标规划模型,通过求解该模型得到群体方案排序的序关系值向量;进一步地,通过定义专家个体与群体意见的贴近度指标,给出了专家群体一致性的判别改进方法;最后,通过算例说明方法的可行性和有效性.

Identification of Consensus in Group Decision-Making with Multi-granularity Linguistic Information and Compromise for Discrepancy

A method is proposed to analyze the consensus in group decision-making, based on the multi-granularity linguistic preference in terms of identifying information matrix. According to the different multi-granularity linguistic identifying information matrices given by experts, the relational vector for ranking individual schemes is determined by LOWA aggregation operators. Then, an objective programming model is developed to minimize the discrepancy between the opinions of group and experts, and the relational vector for ranking group schemes is obtained by solving the model. Defining the closeness index between the opinions of experts or individuals and of a group, a method to identify and improve their consensus is proposed. An example is given to show the feasibility and effectiveness of the methods proposed.