基于Sugeno积分的区间直觉模糊多属性决策

Sugeno Integrals for Multi-Attribute Decision Making with Interval Intuitionistic Fuzzy Information

拓展了模糊测度与Sugeno积分的概念与理论,给出了区间直觉模糊信息环境下多属性决策的一种新方法.定义了区间直觉模糊值模糊测度与区间直觉模糊值Sugeno积分,并分析了它们与经典模糊测度及Sugeno积分之间的内在联系.在研究了区间直觉模糊值Sugeno积分性质和计算方法的基础上,提出了以该积分为集成算子的多属性决策方法.通过具体实例验证了该方法的实用性和有效性.

Extends the concept and theory of Sugeno integral and fuzzy measure,presents a new method for multi-attribute decision making under interval intuitionistic fuzzy environment.The concept of interval intuitionistic fuzzy-valued fuzzy measure and interval intuitionistic fuzzy-valued Sugeno integral are introduced,and the relationship between the extension and original fuzzy measure and Sugeno integral are represented.Some properties and calculating methods of the extended Sugeno integral are given.A multi-attribute decision making method is established in which interval intuitionistic fuzzy-valued Sugeno integral is taken as its aggregation function.An illustrative example is provided to verify the new method and to demonstrate its feasibility and practicality.