中文摘要：

建立了模糊需求和价格折扣并存条件下采购量分配问题的模糊多目标混合整数规划模型．该模型的特点是：1）模型的约束条件中兼具确定性和模糊性；2）通过约束条件方程式准确地表现模糊性需求和价格折扣这两大假设条件．针对该模型的特殊结构，提出了一种适用的求解策略：首先，确定每个模糊目标和模糊约束条件的隶属度函数；然后，通过最大最小算子，将该模糊多目标混合整数规划模型转化为求解等价的多个单目标混合整数线性规划问题；最后，借助于两阶段算法，可以求得问题的最优解．此外，通过应用算例说明了模型的有效性和可行性．

英文摘要：

The order quantity allocation problem with fuzzy demand and price discount is formulated as a fuzzy multi-objective mixed-integer programming model. The proposed model has the following characteristics： deterministic and fuzz constraints, and the assumption of fuzzy demand and price discount are expressed by using constraint equations. According to the special features of the model, an appropriate solution strategy is proposed. It involves three steps ： 1 ） membership functions for every fuzzy objective and constraint are set up; 2） by means of max-min operator, the fuzzy multi-objective mixed-integer programming model is converted into several equivalent single-objective linear programming model; 3 ） the optimal solution for order quantity allocation problem is derived based on two-phase approach. An application example is also given for testing the feasibility and effectiveness of the proposed method.