Social Network DeGroot Model in Uncertain Contexts

When people state their opinions, they often cannot provide exact opinions but express uncertainty, such as an opinion within numerical interval. Moreover, owing to the differences in the cultural background and character of agents, people who encounter numerical interval opinions often exhibit different uncertainty tolerances. By considering different numerical interval opinions and uncertainty tolerances, in this chapter, we propose a numerical interval opinion dynamics model to investigate the process of forming collective opinions in a group of interaction agents under an uncertain context. We propose the theoretical analysis and algorithms to identify the stable agents whose opinions will become stable and the oscillation agents whose opinions will always fluctuate in the opinion evolution process.