The individual consistency and the consensus degree are two basic measures to conduct group decision making with reciprocal preference relations. The existing frameworks to manage individual consistency and consensus degree have been investigated intensively and follow a common resolution scheme composed by the two phases: the consistency improving process, and the consensus reaching process. But in these frameworks, the individual consistency will often be destroyed in the consensus reaching process, leading to repeat the consistency improving process, which is time consuming. In order to avoid repeating the consistency improving process, a consensus reaching process with individual consistency control is proposed in this paper. This novel consensus approach is based on the design of an optimization-based consensus rule, which can be used to determine the adjustment range of each preference value guaranteeing the individual consistency across the process. Finally, theoretical and numerical analysis are both used to justify the validity of our proposal.

中文翻译：

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在群体决策中通过个体一致性控制建立共识


个体一致性和共识程度是进行具有互惠偏好关系的群体决策的两个基本衡量标准。现有的管理个体一致性和共识程度的框架已经被深入研究，并遵循由两个阶段组成的共同解决方案：一致性改进过程和共识达成过程。但在这些框架中，个体一致性往往会在达成共识的过程中被破坏，导致重复一致性改进过程，这是耗时的。为了避免重复一致性改进过程，本文提出了一种带有个体一致性控制的共识达成过程。这种新颖的共识方法基于基于优化的共识规则的设计，该规则可用于确定每个偏好值的调整范围，从而保证整个过程中的个体一致性。最后，理论和数值分析都用来证明我们建议的有效性。