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S-rough sets and knowledge separation
引用本文:Shi Kaiquan 1,21. School of Mathematics and System Sciences,Liaocheng University,Liaocheng 252059,P. R. China,2. School of Mathematics and System Sciences,Shandong University,Jinan 250100,P. R. China. S-rough sets and knowledge separation[J]. 系统工程与电子技术(英文版), 2005, 16(2)
作者姓名:Shi Kaiquan 1  21. School of Mathematics and System Sciences  Liaocheng University  Liaocheng 252059  P. R. China  2. School of Mathematics and System Sciences  Shandong University  Jinan 250100  P. R. China
作者单位:Shi Kaiquan 1,21. School of Mathematics and System Sciences,Liaocheng University,Liaocheng 252059,P. R. China;2. School of Mathematics and System Sciences,Shandong University,Jinan 250100,P. R. China
基金项目:ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina(70271048).
摘    要:
1.INTRODUCTION GivensetX U,Risanequivalencerelationfamily ofU;[x]R;isanR equivalenceclass,andwehave Z.Pawlakroughsets(R-(X),R-(X))[10].Inset Uthereareriskelementswhichexistinriskestima tionsystem,earlywarninganalysissystem,etc.We can’tascertaintheirincursionorintrusiontosetX Uinprevious;theseelementshavethefollowingtwo features:u∈U,u∈-X f(u)=x∈X;x∈X f(x)=u∈-X.Inotherwords,duetotheeffectof f∈F,elementuwhichisnotinXturnsintof(u)=x,f(u)goesintoX;elementxwhichisinX,turnsinto f…


S-rough sets and knowledge separation
Shi Kaiquan. S-rough sets and knowledge separation[J]. Journal of Systems Engineering and Electronics, 2005, 16(2)
Authors:Shi Kaiquan
Affiliation:School of Mathematics and System Sciences, Liaocheng University, Liaocheng 252059, P. R. China;School of Mathematics and System Sciences, Shandong University, Jinan 250100, P. R. China
Abstract:
The conceptions of the knowledge screen generated by S-rough sets are given: f- screen and - screen , and then puts forward - filter theorem, - filter theorem of knowledge. At last, the applications of knowledge separation are given according to - screen and - screen.
Keywords:S- rough sets  f- screen  - screen f-filter theorem  - filter theorem  knowledge separation.
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