单向S-粗集对偶与数据筛选-过滤的扩展应用

Extension and application about dual of one directional S-rough sets and data sieve-filtration

S-粗集(singular rough sets)是对Z.Pawlak粗集的改进,单向S-粗集对偶(dual of one direction sin-gular rough sets)是S-粗集的基本形式之一。利用单向S-粗集对偶,给出数据属性,数据筛选-过滤概念,数据筛选-过滤序定理,合成数据筛选-过滤定理,及数据筛选-过滤准则。利用这些结果,给出应用。单向S-粗集对偶是动态数据筛选-过滤研究的一个新工具。

S-rough sets （Singular rough sets） are an improvement on Z. Pawlak rough sets, and a dual of one directional S-rough sets is one of the basic forms of S-rough sets. By using the dual of one directional S- rough sets, the data attribute and the concept of data sieve-filtration are given. Furthermore, the data sleve-filtration order theorem, composite data sieve-filtration theorem and data sieve-filtration rule are also introduced. Using these results, the application is given. The dual of one directional S-rough sets is a new tool for researching dynamic data sieve-filtration.