直觉模糊集的模糊蕴含式运算方法

Fuzzy Implication Operation Methods of Intuitionistic Fuzzy Sets

与经典模糊集相比,直觉模糊集具有更强的表达能力和灵活性。针对直觉模糊集的模糊推理,将经典的模糊集的模糊蕴含式拓展到直觉模糊集中,提出基于扩展二值逻辑的直觉模糊集下各种模糊蕴含式运算方法,通过实例验证直觉模糊集模糊蕴含式运算方法的有效性和正确性。

Compared with traditional fuzzy set, Intuitionistic fuzzy set has stronger expressivity and flexibility. The Choice of the fuzzy implication is a significant problem in the theoretic development of the fuzzy set, many operation methods on the fuzzy implication were proposed in the past decades. In this paper, we extend this problem from traditional fuzzy set to intuitionistic fuzzy set. From the perspective of expanded two logic implication, several fuzzy implication operation methods of intuitionistic fuzzy sets are presented. Finally we give a concrete demonstration to validate these methods.