基于泛系的粒度計(jì)算理論研究.pdf

1、蘭州大學(xué)碩士學(xué)位論文基于泛系的粒度計(jì)算理論研究姓名：周耀申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算機(jī)軟件與理論指導(dǎo)教師：林和20050501慧粥彥孥砑產(chǎn)筍啦礁砭ABSTRACTGranularComputing(GrC)isanewhotissuerisinginartificialintelligence(AI)Itisanewnotionaboutinformationprocessingandanormalformincomputinginte

2、lligence(CI)Itcoverswithallresearchesinvolvingtheories，method，technologiesandtoolsrelatedtogranularorgranularityGrCisintroducedbasedontheclassificationofuniverse，andhavebeenwidelyappliedintomanyfieldsThoughmanymodelsandm

3、ethodsofgranularcomputinghavebeenproposed，acomplete，systematicanduncontroversialstructureofGrCstillhasnotbeenformedThemainbasicissuesofGrCarethegranulationandcomputingwithgranules12ddngthesetwoaspectsintoconsideration，vi

4、ewingthingsfromsystemviewsofpansystems，applyingpan‘operatorrote(iris，associatmgexponentpowersets、Ⅳ1mroughrelations，combiningtolerantdividewithcomputingwithgranules，thispal：ermakesanextensiontocurrentstudi船frompansystemth

5、eoryThemaincontributionsofthisthesiscanbesummarizedasbelow：(1)AnalyzethegranularcomputingfromtheviewsofpansystemstheoryPansystemsisconstructedbasedonsetstheoryandGrCisproposedfromtheresearchesofroughsetsandfuzzysetsProbi

6、ngmtorelationsbetweenpansystemsandGrC，discussingbasicproblemsofOrefrompansystem，thatmayexpandannOWdirectiontothestudyofCnC(2)Applypan—operatorintoGrCAftermadeatransform璐illgpanoperators，thegranulesbecometolerantorequival

7、entItiswellknownthattherealemanypropertiesoftoleranceandequivalencerehtionsPanoperatormakesitpossibletooperationongranulesItprovidesjnewwayforfurtherresearchesongranularcomputingThisisanextensionongranulations(3)Importth

8、enotionofroughrelationsRoughrelationisageneralizationofroughsetsfromanewviewofmulti—dimensionsInexponentpowersets，theindistinguishablerelationiSconcretelytakenastheneighborhoodrelation，andwhensubstitoteneighborhoodrelati

9、onclosureforuniverse，Wecometotheconclusionthattherough如gree腳IsAtlast，allinherentrelalionofgranularcomputingwithroughrelationsisinterpreted(4)T0theissueofcomputingwithgranules，onthebasisofpartialorderrelationsdefinedonmul

10、ti—layeredgranulations，thispaperintroducesanothertwooperations，namelypantolerance—divisionandcompoundinteractionPartialorderrela廿onsdefinetheorderrelationsofgranulesbetweenmulti1ayeredgranulations，whilepan。tolerancedivis