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1、浙江大学研究生《人工智能》课件徐从富(CongfuXu)PhD,AssociateProfessorEmail:xucongfu@zju.edu.cnInstituteofArtificialIntelligence,CollegeofComputerScience,ZhejiangUniversity,Hangzhou310027,P.R.ChinaMarch10,2002第一稿September25,2006第四次修改稿第五章D-S证据理论(Chapter5D-SEvidentialTheory)Outline本章的主要参考文献证据理论的发展简况经典证据理论关于证据理论的理论模型解释
2、证据理论的实现途径基于DS理论的不确定性推理计算举例[1]Dempster,A.P.Upperandlowerprobabilitiesinducedbyamultivaluedmapping.AnnalsofMathematicalStatistics,1967,38(2):325-339.【提出证据理论的第一篇文献】[2]Dempster,A.P.GeneralizationofBayesianInference.JournaloftheRoyalStatisticalSociety.SeriesB30,1968:205-247.[3]Shafer,G.AMathematicalTh
3、eoryofEvidence.PrincetonUniversityPress,1976.【证据理论的第一本专著，标志其正式成为一门理论】[4]Barnett,J.A.Computationalmethodsforamathematicaltheoryofevidence.In:Proceedingsof7thInternationalJointConferenceonArtificialIntelligence(IJCAI-81),Vancouver,B.C.,Canada,Vol.II,1981:868-875.【第一篇将证据理论引入AI领域的标志性论文】本章的主要参考文献[5]Za
4、deh,L.A.ReviewofShafer’samathematicaltheoryofevidence.AIMagazine,1984,5:81-83.【对证据理论进行质疑的经典文献之一】[6]Shafer,G.Perspectivesonthetheoryandpracticeofbelieffunctions.InternationalJournalofApproximateReasoning,1990,4:323-362.[7]Shafer,G.Rejoindertocommentson“Perspectivesonthetheoryandpracticeofbelieffun
5、ctions”.InternationalJournalofApproximateReasoning,1992,6:445-480.[8]Voorbraak,F.OnthejustificationofDempster’sruleofcombination.ArtificialIntelligence,1991,48:171-197.[9]Smets,P.Thecombinationofevidenceinthetransferablemodel.IEEETransactionsonPatternAnalysisandMachineIntelligence,1990,12(5):447-
6、458.[10]Smets,P,andKennes,R.Thetransferablebeliefmodel.ArtificialIntelligence,1994,66:191-234.本章的主要参考文献（续1）[11]Voobraak,F.AcomputationallyefficientapproximationofDempster-Shafertheory.InternationalJournalofMan-MachineStudy,1989,30:525-536.[12]Dubois,D,Prade,H.Consonantapproximationsofbelieffuncti
7、ons.InternationalJournalofApproximateReasoning,1990,4:279-283.[13]Tessem,B.Approximationsforefficientcomputationinthetheoryofevidence.ArtificialIntelligence,1993,61:315-329.【注：文献10-12均为证据理论近似计算方法】[14]Simard,M.A.,etal.D
