基于模糊β-覆盖的(I,T)-模糊粗糙近似算子

Fuzzy β-Covering Based(I,T)-Fuzzy Rough Approximation Operators

利用模糊β-邻域和模糊逻辑算子,提出两种基于模糊β-覆盖的(I,T)-模糊粗糙集模型;研究了模型中上、下近似算子的基本性质;对比分析这两对广义模糊粗糙近似算子与其他模糊粗糙近似算子之间的关系,刻画了相关近似算子等价的条件。

In this paper,by using fuzzy β-neighborhood and fuzzy logic operators,two( I,T)-fuzzy rough set models were proposed with the help of fuzzy β-covering.The basic properties of upper and lower approximation operators in the models were studied.Then,the relationships between these two pairs of generalized fuzzy rough approximation operators and other fuzzy rough approximation operators were compared and analyzed.Finally,the equivalent conditions for approximation operators coincide with each other were described.