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In group decision-making problems, decision-makers typically use probabilistic linguistic term sets (PLTSs) to express their evaluation opinions. This paper focuses on the social network group decision-making method for probabilistic linguistic information. First, we propose a new consensus judgment mechanism by computing the absolute grey relation degree between the most probable optimal vectors of individual decision makers and collective opinion. Furthermore, in order to reduce the calculated amount in the decision-making process, we propose a model to transform the score value into a PLTS. This technique uses stochastic multicriteria acceptability analysis to determine the criteria weights. The preferences of the decision-makers can be accurately portrayed by this approach. In addition, we put forward a model to transform the score value into a PLTS and propose a new way to obtain the criteria weights …