Abstract: Ziarko’s variable precision rough set model and covering rough set model are introduced.A majority inclusion relation is defined.Under general relations，a variable precision covering rough set model based on 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 in this model are defined.β upper approximation operator and β lower approximation operator，relative discernibility of sets，the relationship between this model and Ziarko’s variable precision rough set models and covering rough set model are discussed in detail.Finally，the reduction in variable precision covering rough set model is inquired into，the examples show that this model is very fit for information processing.

Key words: covering, approximation spaces, neighbor, variable precision covering rough set model

摘要： 介绍了Ziarko变精度粗糙集模型和覆盖粗糙集模型；定义了多数包含关系；借助引入的误差参数β（0≤β<0.5），给出了基于对象邻域的变精度覆盖粗糙集模型中β上近似、β下近似、β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、集合的相对可辨别性、该模型与Ziarko变精度粗糙集模型和覆盖粗糙集模型的关系；最后探讨了变精度覆盖粗糙集模型中的约简问题并在所给模型的基础上举例说明了它们在信息处理中的应用。

关键词: 覆盖, 近似空间, 邻域, 变精度覆盖粗糙集模型