Abstract:According to the problem of multiple attributes group decision making, in which the attribute values are given in terms of picture fuzzy numbers, a picture fuzzy multiple attributes group decision making model based on projection and cross entropy was established. The projection was introduced into the picture fuzzy multiple attributes group decision making to find the weights of the experts. The weighted symmetric discrimination information measure for PFSs of each alternative corresponding to each expert and the ideal alternative were obtained by using cross entropy, then according to the weight of the experts, the weighted symmetric discrimination information measure values of each alternative and the ideal alternative were assembled. The optimal alternative is obtained. Finally, an example is given to illustrate the practicality and effectiveness of the proposed method.