覆盖粗糙集的一般化

在近似空间中给出了基于最简覆盖的等域关系定义,证明了它是论域上的一个不可区分关系·由此,覆盖粗糙集转化为经典粗糙集,使得经典的粗糙集理论的应用范围得到了进一步的扩展·举例说明了一般化方法既能化覆盖粗糙集为经典的粗糙集,又提高了一个集合的近似程度·还给出了基于覆盖的近似空间中的信息处理过程的模型,该模型应用了WilliamZhu和Fei YueWang提出的覆盖约简的方法和技术来消除冗余数据,又可以使覆盖粗糙集转化为经典的粗糙集·

Generalization of Covering Rough Sets

Giving definition of the equal domain relation in most reduced form of coverage in an approximate space, the equal domain relation is proved an indiscernible relation in the universe of discourse. The covering rough sets can thus be transformed into classical ones so as to extend theoretically their applications further. An exemplification of generalization is given to reveal that the covering rough sets can not only be transformed into classical ones but also improve the approximation level of a set. An information processing model in the approximate space based on coverage is also given, which used the covering reduction technique proposed by William Zhu and Fei-Yue Wang to get rid of redundancy and make the transformation available as above.