基于θ算子的变精度直觉模糊粗糙集

摘要

在模糊近似空间中,结合直觉模糊集的隶属度、非隶属度与模糊蕴涵算子,提出基于θ算子和θ算子的直觉模糊集及其隶属度和非隶属度的概念,并证明它们一系列性质.然后,结合直觉模糊集与变精度粗糙集,定义基于θ算子的变精度直觉模糊粗糙集,提出求解变精度粗糙集阈值参数β的方法,使用算例分析该方法.%In the fuzzy approximation space, combing the membership degree and non membership degree of the intuitionistic fuzzy sets with fuzzy implication operator, the concept of intuitionistic fuzzy and its membership degree and non membership degree based on θ operator and θ* operator are presented and their properties are proved.Then, integrating the intuitionistic fuzzy set and the variable precision rough set, a variable precision intuitionistic fuzzy rough set is defined based on θ operator.A method to solve the threshold parameter β of variable precision rough set is put forward.Finally, an example for analyzing the method is provided.