Modeling consistency and consensus in social network group decision making: The role of limited dual tolerance and compromise behaviors

In interactive social network group decision making (SNGDM), decision-makers frequently consider both their own preferences and the preferences of trusted members when adjusting preferences. This dual consideration results in the formation of limited dual tolerance and compromise behaviors, as reflected in the cost and willingness of decision-makers to adjust their preferences. This paper investigates the role of limited dual tolerance and compromise behaviors in the consistency and consensus management in SNGDM with additive preference relations. First, this paper introduces the concepts of limited dual tolerance and compromise behaviors. Then, this paper presents an optimization-based model, tailored to manage consistency and consensus in the interactive SNGDM. This model takes into account the two behaviors mentioned, with the goal of assisting decision-makers in adjusting their preferences to achieve consistency and consensus while minimizing associated costs. Given that limited dual compromise behavior may impede decision-makers from achieving consistency and consensus, this paper designs a model to help decision-makers adjust their dual compromise values. Further, this paper develops an interactive consistency and consensus management process with limited dual tolerance and compromise behaviors. Finally, an illustrative example involving sustainable supplier selection is applied, along with the simulation analysis and a discussion, to validate the effectiveness of the proposed framework.