不完备信息系统及粗糙集理论：模型与属性约简（英文版）

图书标准信息

• 作者 杨习贝、杨静宇 编
• 出版社 科学出版社
• 出版时间 2011-11
• 版次 1
• ISBN 9787030324764
• 定价 80.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 232页
• 字数 380千字
• 正文语种 英语

【内容简介】

IncompleteInformationSystemandRoughSetTheory：ModelsAndAttributeRe-ductionsprovidesevidenceofpresentgrowthintheroughsetapproachtotheincom-pleteinformationsystem.Thetopicsdiscussedinthisbookhavereceivedsignificant
attentionsinrecentyearsbecauseresearcherscanapplynewtoolsforproblemsolv-ing.ThisbookreflectsanumberofapproachesthosewereeitherdirectlyorindirectlybegunbytheseminalworkonroughsetbyZdzislawPawlak.
Itiswell-knowthattheknowledgerepresentationsystemortheso-calledinfor-mationsystemplaysacrucialroleinPawlak'sroughsettheory.Evidenceofthegrowthofvariousroughset-basedresearchstreamscanbefoundintheroughsetdatabasel.However，inmanypracticalapplications，sincethedifficultiesofacquisi-tionsofknowledge，incompleteinsteadofthecompleteinformationsystemscanbeseeneverywhere.Therefore，howtoemploytheroughsetapproachtodealwiththeincompleteinformationsystemsisveryimportanttothedevelopmentoftheroughsettheory.

【目录】

PartⅠIndiscenubilityRelationBasedRoughSets
Chapter1IndiscernibilityRelation,RoughSetsandInformationSystem
1.1Pawlak'sRoughApproximation
1.1.1RoughSet
1.1.2UncertaintyMeasurementsandKnowledgeGranulation
1.1.3KnowledgeReductions
1.1.4KnowledgeDependency
1.2VariablePrecisionRoughSet
1.2.1InclusionErrorandVariablePrecisionRoughSet
1.2.2SeveralReductsinVariablePrecisionRoughSet
1.3MultigranulationRoughSet
1.3.1OptimisticMultigranulationRoughSet
1.3.2PessimisticMultigranulationRoughSet
1.3.3MultigranulationRoughMemberships
1.4HierarchicalStructuresonMultigranulationSpaces
1.4.1DefinitionsofThreeHierarchicalStructures
1.4.2RelationshipsBetweenHierarchicalStructuresandMultigranulationRoughSets
1.5InformationSystem
1.5.1InformationSystemandRoughSet
1.5.2RoughSetsinMultiple-sourceInformationSystems
1.5.3SeveralReductsinDecisionSystem
1.6Conclusions
References

PartⅡIncompletelnformationSystemsandRoughSets
Chapter2ExpansionsofRoughSetsinIncompleteInformationSystems
2.1ToleranceRelationBasedRoughSetApproach
2.1.1ToleranceRelationandltsReducts
2.1.2ToleranceRelationBasedRoughSetandGeneralizedDecisionReduct
2.2ValuedToleranceRelationBasedRoughSetApproach
2.2.1ValuedToleranceRelation
2.2.2ValuedToleranceRelationBasedFuzzyRoughSet
2.3MaximalConsistentBlockBasedRoughSetApproach
2.3.1MaximalConsistentBlockandItsReducts
2.3.2MaximalConsistentBlockBasedRoughSetandApproximateDistributionReducts
2.4DescriptorBasedRoughSet
2.4.1DescriptorandReductDescriptor
2.4.2DescriptorBasedRoughSetandGeneralizedDecisionReductofDescriptor
2.5SimilarityRelationBasedRoughSetApproach
2.5.1SimilarityRelationandSimilarityBasedRoughSet
2.5.2ApproximateDistributionReductsinSimilarityRelationBasedRoughSet
2.6DifferenceRelationBasedRoughSetApproach
2.6.1DifferenceRelationandItsReducts
2.6.2RoughSetBasedonDifferenceRelation
2.6.3ApproximateDistributionReductsinDifferenceRelationBasedRoughSet
2.7LimitedToleranceRelationBasedRoughSetApproach
2.7.1LimitedToleranceRelation
2.7.2LimitedToleranceRelationBasedRoughSet
2.8CharacteristicRelationBasedRoughSetApproach
2.8.1CharacteristicRelationandCharacteristicRelationBasedRoughSet
2.8.2ApproximateDistributionReductsinCharacteristicRelationBasedRoughSet
2.9Conclusions
References
Chapter3NeighborhoodSystemandRoughSetinIncompleteInformationSystem
3.1NeighborhoodSystem
3.1.1FromGranularComputingtoNeighborhoodSystem
3.1.2BinaryNeighborhoodSystem
3.1.3CoveringandNeighborhoodSystem
3.1.4FuzzyNeighborhoodSystem
3.1.5NeighborhoodSystemandTopologicalSpace
3.1.6KnowledgeOperationinNeighborhoodSystem
3.2NeighborhoodSystemandRoughApproximations
3.2.1NeighborhoodSystemBasedRoughSets
3.2.2RelationshipBetweenNeighborhoodSystemBasedRoughSetAndVPRS
3.2.3NeighborhoodSystemBasedRoughApproximationsinIncompleteInformationSystem
3.3ReductsNeighborhoodSystems
3.3.1ReductsNeighborhoodSystemsinlncompleteInformationSystem
3.3.2NeighborhoodSystemsBasedApproximateDistributionReducts
3.4Conclusions
References
……
PartⅢDominance-basedRoughsetsandincompleteinformationsystems
PartⅣIncompleteinformationsystemsandmultigranulationroughsets