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

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