拓?fù)鋵W(xué)在粗糙集理論中的應(yīng)用.pdf

1、江西師范大學(xué)碩士學(xué)位論文拓?fù)鋵W(xué)在粗糙集理論中的應(yīng)用姓名：吳志遠(yuǎn)申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：吳根秀20080301AbstractTheroughsettheorywasputforwardbyProfessorZPawlaw，asamaththeoryt0咖dv吼certainknowledgeItcarlanalysisandprocesseffectivelyallkindsof’橢刪tyinformationasin

2、exactness，uncertain，uncompleted，findimplicatiVe虹0wledgeandopenoutpotentialrulesAtthelastfewyears，ithasbeenusedextensivelyinthefieldsofmachine—learningandknowledgeacquisition，datammmgdecisionsupponandanalysisAtpresent，the

3、theoryofroughsetshasalwaYsbec鋤ethemostlivelydomainintheinformationscience。ThesecondpartofthispaperputsforwardtheconceptsofminimumdescnPtlonel鋤entaIldtopologicalcovetingapproximationspaceandelaboratestherelationb帆eenminim

4、umdescriptionelementsandtopologicalapproximatlonsPace嘶ginalroughmembershipfunctionisdefinedbyusingequivalenceclasses，wewlllextenditiIlGeneralizedcoveringspacesbasedontheconceptofm椰mumdes面ptionelement，wecanusethiskindofro

5、ughmembershipfunctiontode缸nea舵zVset，sowecanintegratetheconceptofroughandfuzzysetsThensomeex鋤D1eswillbeillustratedtodescribetheconclusionsFinally，AgeneralizatlonmPawlakrou曲setmodelwasobtainedbaseonthemembershipdegreeofGen

6、eralizedcoveringspaces，andtherelevantpropertiesarealsogiven。Thettlirdpartofthispaperputsforwardthelowerandupperapproximatlonsofme舵zvroughsetmodelSomeconclusionsabouttheloweranduPPerapproximationshavebeenobtained。Keywords