Abstract:Aiming at the problem that the attribute value is a probabilistic hesitant fuzzy number and the decision maker’s attitude to risk is different, a probabilistic fuzzy multi-attribute decision-making method considering risk preference is proposed. First, considering the decision maker’s hesitation may affect the decision-making effect, a hesitation formula expressed by the difference between the number of elements in the probability hesitant fuzzy element is given. The extended Hamming distance and the extended Euclidean distance are defined based on the hesitation and the difference of element values. Then, a foreground decision matrix is established based on the expected values given by decision makers, and the maximum weight method is used to calculate the attribute weights. Based on this, the comprehensive foreground value of each plan is calculated and ranked. At last, the example analysis of purchasing ERP system software verifies the validity and rationality of the proposed method.