Abstract: Being taken fuzzy demand and price discount into account, a fuzzy multi-objective mixed-integer programming model was proposed for order quantity allocation of multi-product purchase. Based on the features of the model, a solution strategy was presented as follows. First, the fuzzy objectives and constraints were clarified via their membership functions, and then the fuzzy multi-objective mixed-integer programming model was converted into several equivalent single-objective linear programming models by means of the max-min operators. An optimal solution to the order quantity allocation problem was derived using the two-phase approach. An application example was carried out, and the results verified the feasibility and effectiveness of the proposed method.