模糊邏輯中蘊涵算子的構(gòu)造.pdf

1、南昌大學(xué)碩士學(xué)位論文模糊邏輯中蘊涵算子的構(gòu)造姓名：孫焱平申請學(xué)位級別：碩士專業(yè)：計算機應(yīng)用技術(shù)指導(dǎo)教師：王三民20100107ABSll眥TABSTRACTInthisthesis，WeinvestigatedtheconstructionofimplicationoperatorsinfuzzylogicThemaincontributionsofthisthesisaresummarized私follows：Inchapter1，w

2、ebrieflyintroducedthedevelopmentoffuzzylogicandthepresentdomesticandforeignresearch’ssituationPreparalo叫knowledgeincludingsomedefinitionsandtheoremswerealsogivenbecausewewouldUSethemnextchaptersBesides，somedefinitionsand

3、propertiesofseveralkindsofcommonimplicationoperatorsover【0，1】wereintroducedInchapter2，generalizednormalformsinBL—algebraandtheircontributiontouniversalapproximationofLfunctionswerereviewedAndthepossibilitywasprovedthatso

4、meLfunctionscanbepreciselyrepresentedbytherespectivelydiscreteconjunctivenormalformInchapter3，thischaptercontinuedtheinvestigationofapproximatingpropertiesofgeneralizednormalformsinfuzzylogicTheabilityofPerfectnormalform

5、sandothernormalformsinMValgebmofFLfunctionsforapproximaterepresentationofuniformlycontinuousfunctionswereinvestigatedInchapter4，weprovedthat《D0y劬，“amxif)nY，呵硼oW，vnx@嚴arestrongimplicationoperatorsinLukasiewiczSystemThenwe

6、showedtheresultthattheconjunctionanddisjunctionofSOmearbitraryLukasiewiczstrongimplicationoperatorsarestrongimplicationOperatorsInthelastpartsomeviewpointsabouttheproblemofconstructingstrongimplicationoperatorsinLukasiew

7、；czSystemarepresentedInchapter5，thefinalchaptersummarizedthispaper’SresearchworkandseveralquestionsexpectedtosolveKeyWords：tnorms，SflOrinS，BLalgebraMValgebraregularimplicationoperatorstrongimplicationoperatorgeneralizedn