Abstract: A new interactive intuitionistic fuzzy method is presented for solving multilevel programmings. Firstly, while considering the needs of decision-makers, new score functions are defined by linear（parabolic） membership functions and non-membership ones for different decision makers’ personalization choices. Then, based on the utility function, relevant decision making models are constructed to obtain the satisfactory solution of the original multilevel programming. Finally, the comparison of numerical experiments shows that the proposed method is feasible and effective.

Key words: hierarchical programming, interactive intuitionistic fuzzy method, parabolic membership function, decision making model, utility function

摘要： 提出了一种新的求解多层规划问题的直觉模糊交互方法。在考虑决策者需求的同时，针对不同决策者的个性化选择，借助线性（抛物线）隶属函数和非隶属函数定义了新的得分函数。结合效用函数构造了相关的决策模型，求得原多层规划模型的满意解。最后，通过数值实验的比较，说明了该方法的可行性和有效性。

关键词: 层次规划, 直觉模糊交互式方法, 抛物线隶属函数, 决策模型, 效用函数