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ID:7288278
大小:782.36 KB
页数:10页
时间:2018-02-10
《when upper probabilities are possibility measures》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库。
1、FuzzySetsandSystems49(1992)65-7465North-HollandWhenupperprobabilitiesarepossibilitymeasuresDidierDuboisandHenriPradebetterunderstandthepowerofexpressivenessoflnstit~deRechercheenInformatiquedeToulouse(I.R.LT.)possibilityandnecessitymeasuresinordertoUniversitdPaulSabatier,Toulouse,Francerepres
2、entfamiliesofprobabilitymeasures.MakingthisconnectioncannotbuthighlighttheReceivedJune1991potentialroleofpossibilitytheoryintheproblemofapproximaterepresentationofAbstract:AcharacteristicpropertyisgivenforapairofprobabilisticevidencedescribedasinDeupperandlowerprobabilities(inducedbylowerprob
3、abilityboundsonafinitesetofevents)tocoincidewithpossibilityFinetti'sproblemintermsofknownconstraintsandnecessitymeasures.Approximationsofupperprobabil-ontheprobabilitiesofdistinguishedevents.itiesbypossibilitymeasuresarediscussed.TheproblemofThepaperfirstdevotestoapproximatecombiningpossibili
4、tydistributionsviewedasupperprobabil-solutionstoDeFinetti'sproblemdescribedbyitiesisinvestigated,andthebasicfuzzysetintersectionsarepossibilitymeasures,includingthecasewhenanjustifiedinthisframework.exactrepresentationisobtained.InthenextKeywords:Possibilitymeasure;necessitymeasure;probabil-p
5、art,weconsidertheproblemofcombiningity;upperprobability;fuzzyset.evidencedescribedbypossibilitydistributionsviewedasupperprobabilities.Aconditionisobtainedsuchthattwofamiliesofprobability1.Introductionmeasures,describedbymeansofpossibilitydistributions,wouldintersect.ItisinspiredbyInafamouspa
6、per,backinthethirties,DerecentfindingsofChateauneuf[4]ontheFinetti[5]hasconsideredtheproblemofequivalentproblemforbelieffunctions.Theaimdeterminingtheprobabilityofaneventgiventheistoevaluatethemeaningoffuzzysetprobabilitiesofafinitesetofotherevents.Thisintersectionoperatorsinthescopeoftheuppe
7、rproblemhasbeenstudiedbyAdamsandLevineandlowerprobabilityinterpretation.[1]andmorerecentlybyNilsson[16]intheframeworkofpropositionallogic;itcorrespondstoaproblemofreasoningunderuncertaintythatcanbesolvedbymeansoflinearprogramming2.Possibility
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