Abstract:In the field of studying multi-attribute group decision-making problems,the hesitant probabilistic fuzzy set (HPFS), as an extension of fuzzy numbers, has received much attention. Under the probabilistic hesitant fuzzy language environment, the combination of subjective and objective methods to solve the problems in the process of solving weights and sorting schemes is considered, which is more suitable for depicting the DMs’ preferences in the decision-making process. Consequently, a multi-attribute group decision-making model based on the combination of prospect theory and TOPSIS method is proposed in this paper. First, the comprehensive weights of the decision-makers are obtained through the consistency adjustment calculation. Secondly, the solution model of the attribute weights is constructed by using the entropy method. Under the premise of fully considering the psychological behavior of decision makers, the positive and negative ideal solution matrices are solved. And the pros and cons of multiple alternatives are ranked based on the TOPSIS method. Finally, an established case example is applied to validate the applicability and validity of the proposed method.