Minimum cost consensus model considering dual behavior preference

Abstract

In actual consensus-reaching problems, decision makers (DMs) may exhibit non-unique behaviors originating from comparisons between themselves and expectations and reality, such as fairness concern and overconfidence behaviors, which may result in solution recommendation deviation when using the existing minimum cost consensus models (MCCMs). In order to handle consensus issues when DMs show fairness concern behavior, a behavior between DMs, the MCCM considering fairness concern (MCCM-FC) is established. Moreover, DMs may exhibit overconfidence regarding their own opinions, which is managed by the MCCM considering overconfidence (MCCM-O) to offset the actual difference between expectations and reality. To cope with the scenario that incorporates both behaviors simultaneously, the integrated fairness concern and overconfidence MCCM (MCCM-FC-O) is constructed and the relationships of the three MCCMs are discussed. The proposed models are justified through an illustrated application, and further sensitivity and comparative analyses are conducted to illustrate their practicability.