摘要
Pawlak粗糙集理论是以等价关系为基础的,而现实中大量存在着非等价关系,如允许有分类误差的情况,此时经典的粗糙集理论模型的应用受到限制。为了使粗糙集理论有更大的应用空间,推广粗糙集模型,作者提出了基于覆盖的变精度粗糙集模型,给出了几个相关的重要概念,并用公理化的方法研究了覆盖的变精度粗糙集近似算子的一些重要性质。
The rough set theory of Pawlak is based on the equivalent relation, but there are plenty of non-equivalent relations in the real world, such as the thing allowing certain errors in classification. In this case, the equivalent relation in Pawlak＇s origninal rough set theory is still of restriction on many applications. In order to expand rough set application space and to generalize the classical rough set model, the covering rough set model based on variable precision was presented, some relevant important concepts were defined. Some corresponding properties of rough set approximation operators were discussed by applying axiomatic approach.
出处
《辽宁工学院学报》
2006年第4期274-276,共3页
Journal of Liaoning Institute of Technology(Natural Science Edition)
关键词
粗糙集
覆盖
最小描述
覆盖上近似
覆盖下近似
rough set
covering
minimum-description
covering upper approximation
covering lower approximation
