中文摘要：

从集合间的包含程度出发，构造了一种基于包含度的变精度软粗糙集模型。提出带参数的变精度近似算子的定义，得到了它的基本性质和定理，并给出了证明；定义了双精度软粗糙集的近似算子，研究了其性质；讨论了该模型与其他粗糙集模型的关系以及退化条件；举例说明了在信息处理中的应用。

英文摘要：

According to the inclusion degree between two sets, a variable precision soft rough set based on the inclusion degree theory is constructed. Firstly, variable precision approximation operators with a parameter are defined. Then several important properties and theorems are proposed and proved. Secondly, double variable precision approximation operators with two parameters are presented, whose properties are also studied. Finally, the relation between the above-model and other rough set models is discussed, as well as the degeneration condition. At the same time, an example is illustrated to explain the applications in information processing.