不可區(qū)分關系下知識的性質(zhì)和信息表示.pdf

1、目錄摘要1ABSTRACT。2符號說明3弓I言4第一章預備知識611知識與知識庫612近似關系與粗糙集。imiolm7第二章知識約簡與核921不可區(qū)分關系與依賴度的等價刻畫9第三章粗糙集理論公理化條件的等價性12311二元關系和鄰域算子1232等價性定理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粗糙性的等價性1843信息系統(tǒng)的信息表示24參考文獻26附錄：攻讀學位期

2、間撰寫的論文28致謝28揚州大學學位論文原創(chuàng)性聲明和版權(quán)使用授權(quán)書29揚州I大學碩士論文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