模糊集合论及其应用(第4版)

模糊集合论及其应用(第4版)
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作者: (Zimmermann.H.J.)
2011-06
版次: 4
ISBN: 9787510035081
定价: 65.00
装帧: 平装
开本: 24开
纸张: 胶版纸
页数: 514页
正文语种: 英语
分类: 自然科学
38人买过
  • Sinceitsinception20yearsago,thetheoryoffuzzysetshasadvancedinavarietyofwaysandinmanydisciplines.Applicationsofthistheorycanbefound,forexample,inartificialintelligence,computerscience,controlengineering,deci-siontheory,expertsystems,logic,managementscience,operationsresearch,patternrecognition,androbotics.Theoreticaladvanceshavebeenmadeinmanydirections.Infactitisextremelydifficultforanewcomertothefieldorforsome-bodywhowantstoapplyfuzzysettheorytohisproblemstorecognizeproperlythepresent"stateoftheart."Therefore,manyapplicationsusefuzzysettheoryonamuchmoreelementarylevelthanappropriateandnecessary.Ontheotherhand,theoreticalpublicationsarealreadysospecializedandassumesuchaback-groundinfuzzysettheorythattheyarehardtounderstand.Themorethan4,000publicationsthatexistinthefieldarewidelyscatteredovermanyareasandinmanyjournals.Existingbooksareeditedvolumescontainingspecializedcontri-butionsormonographsthatfocusonlyonspecificareasoffuzzysets,suchaspatternrecognition[Bezdek1981],switchingfunctions[KandelandLee1979],ordecisionmaking[Kickert1978].EventheexcellentsurveybookbyDuboisandPrade[1980a]isprimarlyintendedasaresearchcompendiumforinsidersratherthananintroductiontofuzzysettheoryoratextbook.Thislackofacom-prehensiveandmoderntextisparticularlyrecognizedbynewcomerstothefieldandbvthosewhowanttoteachfuzzysettheoryanditsapplications. ListofFigures
    ListofTables
    Foreword
    Preface
    PrefacetotheFourthEdition
    IntroductiontoFuzzySets
    Crispness,Vagueness,Fuzziness,Uncertainty

    FuzzySetTheory
    FuzzyMathematics
    FuzzySets-BasicDefinitions
    BasicDefinitions
    BasicSet-TheoreticOperationsforFuzzySets

    Extensions
    TypesofFuzzySets
    FurtherOperationsonFuzzySets
    AlgebraicOperations
    Set-TheoreticOperations
    CriteriaforSelectingAppropriateAggregationOperators

    FuzzyMeasuresandMeasuresofFuzziness
    FuzzyMeasures
    MeasuresofFuzziness

    TheExtensionPrincipleandApplications
    TheExtensionPrinciple
    OperationsforType2FuzzySets
    AlgebraicOperationswithFuzzyNumbers
    SpecialExtendedOperations
    ExtendedOperationsforLR-RepresentationofFuzzySets

    FuzzyRelationsandFuzzyGraphs
    FuzzyRelationsonSetsandFuzzySets
    CompositionsofFuzzyRelations
    PropertiesoftheMin-MaxComposition

    FuzzyGraphs
    SpecialFuzzyRelations
    FuzzyAnalysis
    FuzzyFunctionsonFuzzySets
    ExtremaofFuzzyFunctions
    IntegrationofFuzzyFunctions
    IntegrationofaFuzzyFunctionoveraCrispInterval
    Integrationofa(Crisp)Real-ValuedFunctionoveraFuzzy
    Interval
    FuzzyDifferentiation

    UncertaintyModeling
    Application-orientedModelingofUncertainty
    CausesofUncertainty
    TypeofAvailableInformation
    UncertaintyMethods
    UncertaintyTheoriesasTransformersofInformation
    MatchingUncertaintyTheoryandUncertainPhenomena
    PossibilityTheory
    FuzzySetsandPossibilityDistributions
    PossibilityandNecessityMeasures
    ProbabilityofFuzzyEvents
    ProbabilityofaFuzzyEventasaScalar
    ProbabilityofaFuzzyEventasaFuzzySet
    Possibilityvs.Probability

    ApplicationsofFuzzySetTheory
    FuzzyLogicandApproximateReasoning
    LinguisticVariables
    FuzzyLogic
    ClassicalLogicsRevisited
    LinguisticTruth"rabies
    ApproximateandPlausibleReasoning
    FuzzyLanguages
    SupportLogicProgrammingandFril
    Introduction
    FrilRules
    InferenceMethodsinFril
    FrUInferenceforaSingleRule
    MultipleRuleCase
    IntervalandPointSemanticUnification
    LeastPrejudicedDistributionandLearning
    ApplicationsofFril

    FuzzySetsandExpertSystems
    FuzzyControl
    FuzzyDataBasesandQueries
    FuzzyDataAnalysis
    DecisionMakingInFuzzyEnvironments
    ApplicationsofFuzzySetsinEngineeringandManagement
    EmpiricalResearchinFuzzySetTheory
    FuturePerspectives
  • 内容简介:
    Sinceitsinception20yearsago,thetheoryoffuzzysetshasadvancedinavarietyofwaysandinmanydisciplines.Applicationsofthistheorycanbefound,forexample,inartificialintelligence,computerscience,controlengineering,deci-siontheory,expertsystems,logic,managementscience,operationsresearch,patternrecognition,androbotics.Theoreticaladvanceshavebeenmadeinmanydirections.Infactitisextremelydifficultforanewcomertothefieldorforsome-bodywhowantstoapplyfuzzysettheorytohisproblemstorecognizeproperlythepresent"stateoftheart."Therefore,manyapplicationsusefuzzysettheoryonamuchmoreelementarylevelthanappropriateandnecessary.Ontheotherhand,theoreticalpublicationsarealreadysospecializedandassumesuchaback-groundinfuzzysettheorythattheyarehardtounderstand.Themorethan4,000publicationsthatexistinthefieldarewidelyscatteredovermanyareasandinmanyjournals.Existingbooksareeditedvolumescontainingspecializedcontri-butionsormonographsthatfocusonlyonspecificareasoffuzzysets,suchaspatternrecognition[Bezdek1981],switchingfunctions[KandelandLee1979],ordecisionmaking[Kickert1978].EventheexcellentsurveybookbyDuboisandPrade[1980a]isprimarlyintendedasaresearchcompendiumforinsidersratherthananintroductiontofuzzysettheoryoratextbook.Thislackofacom-prehensiveandmoderntextisparticularlyrecognizedbynewcomerstothefieldandbvthosewhowanttoteachfuzzysettheoryanditsapplications.
  • 目录:
    ListofFigures
    ListofTables
    Foreword
    Preface
    PrefacetotheFourthEdition
    IntroductiontoFuzzySets
    Crispness,Vagueness,Fuzziness,Uncertainty

    FuzzySetTheory
    FuzzyMathematics
    FuzzySets-BasicDefinitions
    BasicDefinitions
    BasicSet-TheoreticOperationsforFuzzySets

    Extensions
    TypesofFuzzySets
    FurtherOperationsonFuzzySets
    AlgebraicOperations
    Set-TheoreticOperations
    CriteriaforSelectingAppropriateAggregationOperators

    FuzzyMeasuresandMeasuresofFuzziness
    FuzzyMeasures
    MeasuresofFuzziness

    TheExtensionPrincipleandApplications
    TheExtensionPrinciple
    OperationsforType2FuzzySets
    AlgebraicOperationswithFuzzyNumbers
    SpecialExtendedOperations
    ExtendedOperationsforLR-RepresentationofFuzzySets

    FuzzyRelationsandFuzzyGraphs
    FuzzyRelationsonSetsandFuzzySets
    CompositionsofFuzzyRelations
    PropertiesoftheMin-MaxComposition

    FuzzyGraphs
    SpecialFuzzyRelations
    FuzzyAnalysis
    FuzzyFunctionsonFuzzySets
    ExtremaofFuzzyFunctions
    IntegrationofFuzzyFunctions
    IntegrationofaFuzzyFunctionoveraCrispInterval
    Integrationofa(Crisp)Real-ValuedFunctionoveraFuzzy
    Interval
    FuzzyDifferentiation

    UncertaintyModeling
    Application-orientedModelingofUncertainty
    CausesofUncertainty
    TypeofAvailableInformation
    UncertaintyMethods
    UncertaintyTheoriesasTransformersofInformation
    MatchingUncertaintyTheoryandUncertainPhenomena
    PossibilityTheory
    FuzzySetsandPossibilityDistributions
    PossibilityandNecessityMeasures
    ProbabilityofFuzzyEvents
    ProbabilityofaFuzzyEventasaScalar
    ProbabilityofaFuzzyEventasaFuzzySet
    Possibilityvs.Probability

    ApplicationsofFuzzySetTheory
    FuzzyLogicandApproximateReasoning
    LinguisticVariables
    FuzzyLogic
    ClassicalLogicsRevisited
    LinguisticTruth"rabies
    ApproximateandPlausibleReasoning
    FuzzyLanguages
    SupportLogicProgrammingandFril
    Introduction
    FrilRules
    InferenceMethodsinFril
    FrUInferenceforaSingleRule
    MultipleRuleCase
    IntervalandPointSemanticUnification
    LeastPrejudicedDistributionandLearning
    ApplicationsofFril

    FuzzySetsandExpertSystems
    FuzzyControl
    FuzzyDataBasesandQueries
    FuzzyDataAnalysis
    DecisionMakingInFuzzyEnvironments
    ApplicationsofFuzzySetsinEngineeringandManagement
    EmpiricalResearchinFuzzySetTheory
    FuturePerspectives
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