On fuzzy Hegelsman-Krause opinion dynamics

In this paper, a fuzzy model of opinion dynamics is built to extend the classical Hegelsman-Krause model. The new model takes into account the factors of the uncertainty of agents' opinions and describes the interaction mechanism for the social group by using fuzzy set theory. The confidence levels of social agents are also modeled by a fuzzy variable. The evolution of fuzzy opinions of the social group is analyzed through numerical simulations. The analytical results show that the opinions of the majority of the population converge on the intermediate opinion as time goes. The proposed model effectively explains the interaction and evolution of group opinion in real society when opinions are uncertain.