Aggregation of pragmatic operators to support probabilistic linguistic multi-criteria group decision-making problems

In this paper, a multi-attribute group decision-making method based on aggregation operators is presented to solve the decision-making problems which the evaluation values take the form of probabilistic linguistic terms sets (PLTSs). Firstly, some properties of the PLTS are defined, such as the concept and the linguistic terms transformation function, the existing comparison methods and the proposed score function and distance. Secondly, some novel operators are proposed by combining the Heronian mean operator with the centered OWA operator and the power average operator under probabilistic linguistic environment, such as the probabilistic linguistic weighted centered order weighted generalized Heronian mean operator and the probabilistic linguistic weighted power generalized Heronian mean operator. Thirdly, the model of deriving the criteria weight is put forward based on the ideology of deviation maximizing and customized individual attitudinal. Furthermore, based on the proposed aggregation operators and EDAS method, a scientific group decision-making procedure is put forward under probabilistic linguistic environment. Finally, an illustrative example is also given to demonstrate the feasibility and practicality of the proposed method.