S-粗集(singular rough sets)存在三种形式:单向S-粗集(one direction singular rough sets),单向S-粗集对偶(dualof one direction singular rough sets)和双向S-粗集(two direction singular rough sets)。S-粗集具有动态特性,遗传特性,记忆特性和隐藏特性。利用S-粗集,给出了f-隐藏知识,F-隐藏知识,隐藏度和隐藏-依赖度的概念,提出了关于隐藏知识的隐藏定理和隐藏-依赖定理,并给出应用。
By using two-directional S-rough sets,the concepts of(f,f)-interference generation and(f,f)-inter-ference law generation of knowledge,F-interference generation and F-interference law generation of two-directional S-rough sets are proposed.Based on the concepts above,the relation theorems between F-interference loss and F-interference degree,the relation theorems between F-interference loss law and F-interference degree law,the discernibility theorems between F-interference and F-interference law are presented.At last,the recognition criterion of F-interference law and its application are given.
By using function one direction S-rough sets (function one direction singular rough sets), this article presents the concepts of Flaw, Frough law, and the relation metric of rough law; by using these concepts, this article puts forward the theorem of Flaw relation metric, two orders theorem of Frough law relation metric, the attribute theorem of Frough law band, the extremum theorem of Frough law relation metric, the discovery principle of Frough law and the application of Frough law.
