This paper deals with group decision making (GDM) with hesitant fuzzy preference relations (HFPRs) based on the acceptable multiplicative consistency and the consensus analysis. We first offer a multiplicative consistency index for fuzzy preference relations (FPRs) and then use the Monte Carlo simulation method to derive the average multiplicative consistency value. After that, a model-based interactive algorithm is offered to test acceptable multiplicative consistency of HFPRs, by which the concept of acceptable multiplicative consistency for HFPRs is obtained. Meanwhile, a model-based interactive algorithm for deriving acceptable multiplicative consistent HFPRs from unacceptable multiplicative consistent ones is provided, where both the total adjustment and the number of adjusted variables are considered. As for incomplete HFPRs, a model-based interactive algorithm for getting the values of missing preferences is provided. Furthermore, the weights of the decision makers are determined by the offered model and an algorithm of model-based adjustment for the consensus level is provided. Finally, a procedure for GDM with acceptable multiplicative consistent HFPRs is given, and a case study about selecting the most suitable project management information systems (PMISs) is provided to show the application of the proposed GDM method and to compare the proposed GDM method with the previous GDM methods.

基于可接受的乘性一致性和共识分析，研究了带有犹豫的模糊偏好关系（HFPR）的群体决策（GDM）。我们首先提供模糊偏好关系（FPR）的乘法一致性指标，然后使用蒙特卡罗模拟方法得出平均乘法一致性值。之后，提供了一种基于模型的交互式算法来测试HFPR的可接受的乘性一致性，从而获得了HFPR可接受的乘性一致性的概念。同时，提供了一种基于模型的交互式算法，用于从不可接受的乘性一致的推导中推导可接受的乘性一致的HFPR，同时考虑了总调整量和调整后的变量数量。至于不完整的HFPR，提供了一种基于模型的交互式算法，用于获取缺失偏好的值。此外，决策者的权重由提供的模型确定，并提供了基于模型的共识水平调整算法。最后，给出了具有可接受的乘性一致HFPR的GDM程序，并提供了一个关于选择最合适的项目管理信息系统（PMIS）的案例研究，以展示所提出的GDM方法的应用并与GDM方法进行比较。以前的GDM方法。