A MAGDM Model with Multi-Granular Probabilistic Linguistic Power

A novel multi-attribute group decision making (MAGDM) method with multi-granular probabilistic linguistic power is proposed in this paper. Firstly, distance measures between two multi-granular probabilistic linguistic term sets are determined, such as generalized probabilistic linguistic Hamming distance, generalized probabilistic linguistic Euclidean distance, generalized probabilistic linguistic Hausdorff distance, and generalized probabilistic linguistic hybrid approach. To compute the weights of attributes, we propose the cross-entropy method for multi-granular probabilistic linguistic term sets; Secondly, under all the determined distance measures above, a novel MAGDM method is proposed; Finally, four case studies are provided to illustrate the novelty, feasibility, and validity of the proposed MAGMD method.