A consistency and consensus based method for group decision making with intuitionistic fuzzy preference relations

This paper addresses the consistency and consensus of group decision making with intuitionistic fuzzy preference relations (IFPRs). To check the consistency of IFPRs and the consensus among experts, a new consistency index and a consensus index are introduced, respectively. By minimizing deviations of initial IFPRs and corresponding improved IFPRs, a goal program is built to improve the consistency of IFPRs and group consensus simultaneously. Finally, a novel algorithm is proposed for group decision making with IFPRs. An example of a supplier selection is provided to show the application of the proposed method.