基于模糊集μ_X^R的α-截集和强β-截集的粗近似

Rough approximations based on α-cut and strong β-cut of fuzzy set μ_X^R

研究了基于模糊集μXR的α-截集和强β-截集的粗近似问题,提出了(α,β)-粗糙集模型,讨论了粗糙近似算子的一些重要性质,给出了粗糙度和近似精度的定义和性质,证明了该模型比Pawlak粗糙集模型具有更好的精度.

The rough approximations of the α-cut and the strong β-cut based on fuzzy set μX^R are studied. （α,β）-rough set model is proposed. Some important properties of the rough approximation operators are discussed. The notions and properties of approximation accuracy and roughness are given. At last, it is proved that this model has higher precision than Pawlak rough set model.