A Group Consensus Model for Multiple Attributes Group Decision Making with Interval Belief Distribution and Interval Distributed Preference Relation

In multiple attributes group decision making (MAGDM), how to generate a consensus-based solution that is satisfactory to most of decision makers, is always a critical research issue. This paper proposes a group consensus model for MAGDM based on interval belief distribution (IBD) and interval distributed preference relation (IDPR). The transformation function from IBD to IDPR is first designed to unify IBD and IDPR. Two principles are presented to guarantee the satisfaction of internal consistency before and after the transformation. Based on the unification of IBD and IDPR, a consensus reaching process is developed. In the process, the group consensus at the attribute, alternative and global levels based on IDPRs is first measured, and a feedback mechanism consisting of identification rules and suggestion rules is then designed to help accelerate the convergence of group consensus. With the developed group consensus model, a consensus-based solution to the MAGDM problems with IBDs and IDPRs is generated. Finally, the proposed model is applied to a sustainable supplier selection problem of automobile enterprise in Wuhu, Anhui Province, China to demonstrate its correctness and effectiveness.