| S-rough sets and knowledge separation |
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| 作者姓名： | Shi Kaiquan . School of Mathematics and System Sciences Liaocheng University Liaocheng P. R. China . School of Mathematics and System Sciences Shandong University Jinan P. R. China |
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| 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 |
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| 基金项目： | ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina(70271048). |
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| 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…
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S-rough sets and knowledge separation |
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| Shi Kaiquan ,. School of Mathematics and System Sciences,Liaocheng University,Liaocheng ,P. R. China,. School of Mathematics and System Sciences,Shandong University,Jinan ,P. R. China.S-rough sets and knowledge separation[J].Journal of Systems Engineering and Electronics,2005,16(2). |
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| Authors: | Shi Kaiquan |
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| Institution: | 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 |
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| 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. |
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| Keywords: | S- rough sets f- screen - screen f-filter theorem - filter theorem knowledge separation |
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