Abstract: The minimal subcovering of any element x in the universe is defined by the minimal description of x in the classical covering approximation space.Then，a new description of the covering probability rough sets model which is proposed by other authors is given based on the minimal subcovering of any element x in the universe.Furthermore，based on the rough membership function of the covering probability rough sets，the method of the fuzziness measure for covering probability rough sets is given by the classical fuzzy entropy.

摘要： 在经典覆盖近似空间中定义了论域上任意元素x的最小子覆盖，基于任意元素的最小子覆盖给出了覆盖粗糙集上、下近似新的描述，进而给出了已有覆盖概率粗糙集模型在最小子覆盖意义下的描述。同时，以覆盖概率粗糙集的粗糙隶属函数为基础，应用经典模糊集熵的概念讨论了覆盖概率粗糙集模糊性的度量。