Abstract:The probabilistic hesitant fuzzy set adds probability values which are corresponding to each membership degree on the basis of the hesitant fuzzy set(HFS). Compared with the HFS, it can express the initial decision-making information given by experts more accurately and comprehensively. Therefore, the probabilistic hesitant fuzzy decision-making theory and methods are more reliable and practical. This article reviews the probabilistic hesitant fuzzy decision-making theory and methods. It first introduces its development process, then separately expounds its information fusion theory, preference relations theory and decision-making methods, and finally looks forward to the future research directions of the probabilistic hesitant fuzzy decision-making theory and methods.