变精度与程度粗糙集的一种推广

Promotion for rough set of variable precision and extent of rough set

粗糙集理论是一种处理模糊和不确定性知识的数学工具,在人工智能及数据挖掘等众多领域已经得到了广泛的应用。在程度粗糙集和变精度粗糙集的基础上,通过引入误差参数,给出了一种新的程度变精度粗糙集模型并得出了所给模型上、下近似的一些性质。最后,通过一个具体的例子,说明了这种模型在信息系统中处理模糊和不确定性知识的可行性和有效性。

Rough set theory emerges as a powerful tool for dealing with the vagueness and uncertainty of facts,which has been widely applied in many fields such as artificial intelligence and data mining.In this paper,a degree-variable precision rough set model based on variable precision rough set and the degree of rough set is proposed by introducing a concept of error parameters.Some properties of the upper approximation and the lower approximation are generalized.Then an example is cited to demonstrate that the model is more feasible and effective than the previous ones in practice.