考虑决策者关联关系及容忍行为的最大专家数共识模型研究

Research on Maximum Experts Consensus Model Considering the Association among Decision-Makers and the Tolerance Behavior

最大专家数共识是在有限预算下最大化共识达成的人数。其中,决策者权重往往由协调者给定,存在较大的主观性。此外,现有研究忽视了决策者行为对共识结果的影响。本文研究了通过关联多属性评价确定决策者权重的方法以及考虑决策者容忍行为的最大专家数共识问题。首先,考虑评价属性间的关联关系,利用Choquet积分确定决策者的权重。其次,关注协调者意见以及决策者对意见调整的容忍行为,构建考虑决策者容忍限度的最大专家数共识模型。最后,通过算例对模型的有效性进行验证。研究结果表明:1) 决策者的容忍行为有利于促进最大专家数共识的达成。2) 考虑属性关联的权重确定方法可以降低主观偏好的影响。3) 协调者意见能合理规范共识意见的产生。

The aim of the maximum experts consensus is to maximize the number of decision-makers (DMs) who are reached the consensus under the limited budget. The weight of the DMs is often given by the moderator, which is subjective. In addition, existing research has ignored the impact of DMs’ behavior on consensus results. In this paper, we study the method of determining the weight of DMs through the evaluation of associated attributes and the maximum experts consensus problem considering the DMs’ tolerant behavior. First, consider the correlation between evaluation attributes and use the Choquet integral to determine the weight of DMs. Secondly, put emphasis on the moderator’s opinion and the DMs’ tolerant behavior;then build a maximum experts consensus model considering the DMs’ tolerance limit. Finally, the validity of the model is verified by an example. The results show that: 1) The DMs’ tolerant behavior is conducive to reaching the maximum experts consensus. 2) The weight determination method considering associated attributes can reduce the influence of subjective preference. 3) The moderator’s opinion can reasonably regulate the consensus opinions.