A consensus model under uncertain environment considering bounded rational behaviors of decision makers

Consensus reaching process mainly includes consensus measurement and consensus improvement. Ignoring the bounded rational behavior of group members will affect the credibility of decision results. This paper proposes a consensus model that considers bounded rational behaviors of group members under uncertain environment. Firstly, we propose a similarity measure of probabilistic linguistic term sets (PLTSs) based on the Jensen-Shannon divergence, which can measure the difference between different probability distributions corresponding to PLTSs that are used to represent uncertain information. Then, the DEMATEL method is used to determine the weights of criteria according to the relationship between criteria, and a weight penalty mechanism is introduced to improve the consensus level of a group. Next, we combine the TODIM and VIKOR methods to elicit the ranking of alternatives. Finally, a numerical example is given to verify the feasibility and effectiveness of the proposed method.