變精度模糊粗糙集理論與應(yīng)用研究.pdf

1、分拳!號(hào)：UDC：Y1436094密級(jí)：——編號(hào)：——理學(xué)碩士學(xué)位論文變精度模糊粗糙集理論與應(yīng)用研究碩士研究生：指導(dǎo)教師：學(xué)位級(jí)別：學(xué)科、專業(yè)：所在單位：論文提交日期：論文答辯日期：學(xué)位授予單位：張?jiān)峦囃?quán)教授理學(xué)碩士應(yīng)用數(shù)學(xué)理學(xué)院2008年5月2008年6月哈爾濱工程大學(xué)哈爾濱T程大學(xué)碩十學(xué)何論文ABSTRACTAsanewtheoryofdataanalysistheroughsetsareallimportantmathemat

2、icalmethodtodealwithuncertaintyproblemsItiswidelyappliedinvariousfieldssuchasdatamining，machinelearning，artificialintelligenceandpatternrecognitionButtherearesomeshortcomingsaboutclassicalroughsetstheoryPawlak’Sroughsets

3、modelandthevariableprecisionroughsetsmodelarebuiltonequivalencerelationsButinpracticalapplications，manyobjectswehandlearefuzzy，andtherearenocrisprelationsbetweenoneobjectandanotherbutonlyfuzzyrelationsAttributesreduction

4、isaNPproblem，andtheconventionaloptimizationCan’tbeusedsuccessfullyInthisthesistheACOalgorithmisusedtosolvethisproblemOnthebasisofthefeatureofattributesreduction，thestatetransitionprobabilityformulaandthepheromoneupdatafo

5、rmulaaremodifiedtomakeitmoreadaptivetoattributesreductionThisthesisproposesthevariableprecisionfuzzyroughsetsmodelonthebasisoffuzzysimilarityrelations，whichassimilatestheideaofZiarko’SvariableprecisionroughsetsThentherou

6、ghapproximationsoffuzzysetsarestudied，andparticularlythepropertiesofvariableprecisionfuzzyroughsetsareinvestigatedPawlak’SroughsetsandtheZiarko’SvariableprecisionroughsetsaretwoinstancesofthemodelproposedInclusteringanal

7、ysis，differentattributeshavedifferentimportanceinclustering，andevensomeattributesdisturbtheclusteringresultsInthisthesis，thevariableprecisionfuzzyroughsetsmodelisappliedincalculatingtheweightsofattributesTheweightsofattr