For the group decision making problem with unknown attribute weight, a multi-attribute group decision making method was proposed combining Evaluation based on Distance from Average Solution (EDAS) and Probabilistic Linguistic Term Set (PLTS), considering the decision maker's psychological behavior of regret avoidance. First, the entropy and cross entropy of PLTS were defined according to the properties of PLTS and the attribute weight model was established. Second, the group satisfaction formula was extended to the PLTS environment and was used for the calculation of the utility values in regret theory. Third, the model and the group satisfaction formula were determined based on the attribute weights of PLTS, the regret theory and EDAS method were combined to propose a new multi-attribute decision making method, and the selection sort was performed to the alternatives. Finally, taking the selection sort of real internet public opinion emergencies as an example, the proposed method was verified, and the effectiveness of the method was proved through comparative analysis.