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1、目錄摘要1ABSTRACT。2符號(hào)說明3弓I言4第一章預(yù)備知識(shí)611知識(shí)與知識(shí)庫612近似關(guān)系與粗糙集。imiolm7第二章知識(shí)約簡(jiǎn)與核921不可區(qū)分關(guān)系與依賴度的等價(jià)刻畫9第三章粗糙集理論公理化條件的等價(jià)性12311二元關(guān)系和鄰域算子1232等價(jià)性定理1333幾類特殊粗糙集代數(shù)的刻畫。15第四章信息的表示及性質(zhì)1741信息量和信息熵。1742信息量與信息熵表示知識(shí)粗糙性的等價(jià)性1843信息系統(tǒng)的信息表示24參考文獻(xiàn)26附錄:攻讀學(xué)位期

2、間撰寫的論文28致謝28揚(yáng)州大學(xué)學(xué)位論文原創(chuàng)性聲明和版權(quán)使用授權(quán)書29揚(yáng)州I大學(xué)碩士論文Abstract2Therapiddevelopmentofcomputerandnetworkinformationtechnologymakepeopleobtaininvariousareasofinformationanddataisgrowingrapidlyandtheinformationanddataprocessinginhuman

3、smore,makestheuncertaintyintheprocessofthedataprocessingismoreremarkable,informationanddataintoacomplexhugesystemsTherapidexpansionofdataandinformationthechoiceofhumanbeings,tobringmore,atthesanletime,italsobringssomepro

4、blems,namelyhowtofromSOmanytoobtainusefulinformationforpeoplebeineffectivemassdataTheroughsetmethodisamechanismoflargeamountsofdatainformationaboutrealitybasedonobservationsandmeasurements,thedataclassificationabilityfou

5、ndation,findsomecharacteristicsofknowledge,reasoning,andresolutionsystemaprocessobjectandSOonRoughset。theorycalleffectivelydealwiththecomplexsystemofinformationanddataandhasbecomeanewtoolfordataprocessingBasedontheroughs

6、etknowledgeofnaturetOdosomeresearch,theoryaxiomtheconditionoftheroughsetaregivenequivalencerelation,andtherelatednatureofthisrelationship,thelastchapterTheknowledgerepresentationofinformation,researchofroughnessofknowled

7、gewithrespecttOtheinformationentropyandinformationrepresentationofsimilaritiesanddifferencesThefulltextisdividedintofourchaptersThefirstchapterbrieflyintroducedtheconceptofroughsetsrelated,suchasknowledgeandknowledgebase

8、upperandlowerapproximationoftheconceptanditisprovedthattheupperapproximationandlowerapproximaterelationshipsbetweenThesecondchapterintroducestheknowledgereductionandnucleardefinition,aswellastheindiscernibilityequivalenc

9、erelationanddependencearedepictedThetllirdchapterresearchdomainisaxiomaticinfiniteroughsettheoryWillgiveinfinitedomainaxiomsofroughsettheoryofequivalentconditions,promotetherelevantresultsAtthesametimewillalsogivetheresu

10、ltsofsimpleapplicationsintopologicalspacesandmodallogicThefourthchapterdiscussestheinformationcontentandinformationentropyinknowledgerepresentationoftheroughrelational,followedbytheresearchonknowledgerepresentationofinfo

11、rmation,promotionofthenatureofthemnountofinformationandinformationentropyininformationrepresentation,anddiscussestherelationshipbetweentheamountofinformationandinformationentropyKeywords:Equivalencerelation,Upperapproxim

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