Consensus Constructing in Large-Scale Group Decision Making With Multi-Granular Probabilistic 2-Tuple Fuzzy Linguistic Preference Relations

As the number of participants involves in decisions getting complex and the heterogeneity could be produced among decision makers, a large-scale group decision making (LGDM) method with consensus constructing need to be considered. In order to demonstrate the complex relationship and reduce heterogeneity among decision makers, a consensus process of LGDM is proposed in this paper, in which multi-granular probabilistic fuzzy linguistic preference relations (MGPFLPRs) are used to represent sub-group's preferences information. First, mathematical programming is proposed to deal with MGPFLPR based on expected multiplicative consistency and obtain the priority weight vector. Second, collective priority weights of alternative are obtained by fusing sub-group's priority weights of alternative based on the weighted averaging operator. Then, an automatic iteration consensus reaching algorithm is implemented for the purpose of reaching a consensus in LGDM with MGPFLPRs. Finally, an emergency decision problem is applied to demonstrate the effectiveness of the proposed method.