Transaction and interaction behavior-based consensus model and its application to optimal carbon emission reduction

Abstract Consensus is an essential issue in group decision making (GDM) research, since inability to reach a consensus may lead to a costly decision paralysis. Generally, in real GDM scenarios, some interaction between decision makers (DMs) is effective at promoting consensus. The Choquet integral is a proper mathematical tool for integrating information while considering both interaction and fusion. This is why in this paper, we apply the Choquet integral to model a transaction and interaction behavior-based consensus. In the proposed model, we define the weights and interaction indices of DMs in an interactive environment to avoid extreme discourse weights. Subsequently, we apply the optimal consensus model to the trade of discourse weights in carbon emission reduction. Simultaneously, we consider the inter-group transactions between discourse weights and individual weight restriction behaviors. A case study with weight transfers reveals that, compared to the traditional consensus optimization model with minimum costs, the proposed novel transaction and interaction behavior-based consensus model has a broader scope of application. It not only reflects the fairness of the consensus results, but it also achieves better decision-making results.