变精度粗糙集模型及其应用研究

介绍了广义粗糙集模型和Ziarko变精度粗糙集模型,找出了它们的不足;借助引入的误差参数β(0≤β<0.5),给出了基于后继邻域的一般二元关系下变精度粗糙集模型的β上近似、β下近似、3边界和β负域的定义以及β近似质量和β粗糙性测度定义;详细讨论了β上、下近似算子的性质、该模型与其他粗糙集模型的关系以及一般二元关系下两种变精度粗糙集模型的关系;最后,举例说明了该模型在信息处理中的应用。

Research of generalized variable precision rough set model and its appli- cation

Generalized rough sets and Ziarko’s variable precision rough set model are introduced.Under general relations，a variable precision rough set model based on successor neighbor is given by means of the error parameter β（0≤β<0.5）. β upper approximation，β lower approximation，β boundary regions，β negative field，β approximation quality and β rough estimate are defined.The properties of β upper approximation operator and β lower approximation operator，the relationship between this model and other rough sets models，and the relationship between two variable precision rough set models under general relations are discussed in detail.Finally，the examples show that this model apply to information processing.