Singular rough sets (S-rough sets) have three classes of forms: one-directional S-rough sets, dual of onedirectional S-rough sets, and two-directional S-rough sets. Dynamic, hereditary, mnemonic, and hiding propert...Singular rough sets (S-rough sets) have three classes of forms: one-directional S-rough sets, dual of onedirectional S-rough sets, and two-directional S-rough sets. Dynamic, hereditary, mnemonic, and hiding properties are the basic characteristics of S-rough sets. By using the S-rough sets, the concepts of f-hiding knowledge, F-hiding knowledge, hiding degree, and hiding dependence degree are given. Then, both the hiding theorem and the hiding dependence theorem of hiding knowledge are proposed. Finally, an application of hiding knowledge is discussed.展开更多
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...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。展开更多
利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-...利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-阶梯知识内潜藏原理,给出F-阶梯知识挖掘-发现准则及应用。这些结果是单向S-粗集的新特性与单向S-粗集的动态特性的新应用。展开更多
基金supported by the National Natural Science Foundation of China (60364001,70461001)the Hainan Provincial Natural Science Foundation of China (807054)Hainan Provincial Education Office Foundation (HJ 2008-56)
文摘Singular rough sets (S-rough sets) have three classes of forms: one-directional S-rough sets, dual of onedirectional S-rough sets, and two-directional S-rough sets. Dynamic, hereditary, mnemonic, and hiding properties are the basic characteristics of S-rough sets. By using the S-rough sets, the concepts of f-hiding knowledge, F-hiding knowledge, hiding degree, and hiding dependence degree are given. Then, both the hiding theorem and the hiding dependence theorem of hiding knowledge are proposed. Finally, an application of hiding knowledge is discussed.
文摘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。
文摘利用单向S-粗集(one direction singular rough sets)与它的动态特性,给出F-阶梯知识、F-阶梯度的概念。利用这些概念,提出F-阶梯知识分辩定理、最小F-阶梯知识挖掘-发现定理、最大F-阶梯知识挖掘-发现定理、知识发现依赖-筛选定理与F-阶梯知识内潜藏原理,给出F-阶梯知识挖掘-发现准则及应用。这些结果是单向S-粗集的新特性与单向S-粗集的动态特性的新应用。