Fuzziness of Generalized Variable Precision Rough Sets

In present paper, based on the classical fuzzy entropy,the fuzziness of variable precision rough sets in generalized approximation space are discussed by the axiomatized method. And the same time, a general framework that is studied the fuzziness of the rough sets in generalized approximation space is given. Meanwhile, the probability measure is introduced to the generalized approximation space and the generalized variable precision probability rough sets model is established.Furthermore, several properties of the model are studied.Finally, the fuzziness of the generalized variable precision rough sets is discussed by the method that is proposed in this paper, too.