Ordinal and joint feedback mechanisms to support group consensus based on interval-valued number with self-confidence

作者：Ji, Feixia; Chiclana, Francisco; Zhou, Mi; Herrera-Viedma, Enrique; Wu, Jian^*

来源：Information Fusion, 2022, 88: 202-217.

DOI：10.1016/j.inffus.2022.07.021

• Group decision making
• Consensus
• Adjustment cost
• Self-Confidence
• Ordinal feedback mechanism
• Joint feedback mechanism

This article proposes a framework of consensus reaching process based on interval-valued number with self-confidence involving two feedback mechanisms: (1) the ordinal feedback mechanism (OFM), and (2) the joint feedback mechanism (JFM). Firstly, a new concept called the interval-valued number with selfconfidence (IVN-SC) is defined, which allows experts to express self-confidence (SC) when providing their evaluations by interval-valued number (IVN). In OFM, three types of discordant behaviours are explored from the perspective of IVN consensus and SC consensus, and then the corresponding personalized mechanisms for discordant behaviours are implemented to guarantee they both reach consensus threshold. While in JFM, the comprehensive consensus degree by combing the IVN and SC is presented to measure the agreement level among experts, and then a joint optimization model with IVN-SC is activated to support the discordant experts to reach the threshold value of group consensus. It explores that the JFM is less strict than the OFM because the former contains the compensatory aggregation operator while the latter does not. Finally, an illustrative example and comparative analysis are devised to testify the effectiveness of the proposed models.