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2006-5-14Beginning1.Inthispaper,wefocusontheneedfor2.Thispaperproceedsasfollow.3.Thestructureofthepaperisasfollows.4.Inthispaper,weshallfirstbrieflyintroducefuzzysetsandrelatedconcepts5.TobeginwithwewillprovideabriefbackgroundontheIntroduction1.Thiswillbefollowedbyadescriptionofthefuzzynatureoftheproblemandadetailedpresentationofhowtherequiredmembershipfunctionsaredefined.2.Detailsonxxandxxarediscussedinlatersections.3.Inthenextsection,afterastatementofthebasicproblem,varioussituationsinvolvingpossibilityknowledgeareinvestigated:first,anentirelypossibilitymodelisproposed;thenthecasesofafuzzyservicetimewithstochasticarrivalsandnon-fuzzyserviceruleisstudied;lastly,fuzzyserviceruleareconsidered.Review1.Thisreviewisfollowedbyanintroduction.2.AbriefsummaryofsomeoftherelevantconceptsinxxxandxxxispresentedinSection2.3.Inthenextsection,abriefreviewofthe....isgiven.4.Inthenextsection,ashortreviewof...isgivenwithspecialregardto...5.Section2reviewsrelevantresearchrelatedtoxx.6.Section1.1brieflysurveysthemotivationforamethodologyofaction,while1.2looksatthedifficultiesposedbythecomplexityofsystemsandoutlinestheneedfordevelopmentofpossibilitymethods.Body1.Section1definesthenotionofrobustness,andarguesforitsimportance.2.Section1devotedtothebasicaspectsoftheFLCdecision-makinglogic.3.Section2givesthebackgroundoftheproblemwhichincludesxxx4.Section2discussessomeproblemswithandapproachesto,naturallanguageunderstanding.5.Section2explainshowflexibilitywhichoften...canbeexpressedintermsoffuzzytime-window6.Section3discussestheaspectsoffuzzysettheorythatareusedinthe...7.Section3describesthesystemitselfinageneralway,includingthe…..andalsodiscusseshowtoevaluatesystemperformance.8.Section3describesanewmeasureofxx.9.Section3demonstratestheuseoffuzzypossibilitytheoryintheanalysisofxx.10.Section3isafinedescriptionoffuzzyformulationofhumandecision.11.Section3isdevelopedtothemodelingandprocessingoffuzzydecisionrules12.ThemainideaoftheFLCisdescribedinSection3whileSection4describesthexxstrategies.13.Section3and4showexperimentalstudiesforverifyingtheproposedmodel.14.Section4discussesapreviousfuzzyset-basedapproachtocostvarianceinvestigation.15.Section4givesaspecificexampleofxxx.16.Section4istheexperimentalstudytomakeafuzzymodelofmemoryprocess.17.Section4containsadiscussionoftheimplicationoftheresultsofSection2and3.18.Section4appliesthisfuzzymeasuretotheanalysisofxxandillustrateitsuseonexperimentaldata.19.Section5presentstheprimaryresultsofthepaper:afuzzysetmodel..20.Section5containssomeconclusionsplussomeideasforfurtherwork.21.Section6illustratesthemodelwithanexample.22.VariouswaysofjustificationandthereasonsfortheirchoicearediscussedverybrieflyinSection2.23.InSection2arepresentedtheblockdiagramexpressionofawholemodelofhumanDMsystem24.InSection2weshalllistacollectionofbasicassumptionswhicha...schememustsatisfy.25.InSection2ofthispaper,wepresentrepresentationanduniquenesstheoremsforthefundamentalmeasurementoffuzzinesswhenthedomainofdiscourseisorder-dense.26.InSection3,wedescribethepreliminaryresultsofanempiricalstudycurrentlyinprogresstoverifythemeasurementmodelandtoconstructmembershipfunctions.27.InSection5isanalyzedtheinferenceprocessthroughthetwokindsofinferenceexperiments...ThisSection1.Inthissection,thecharacteristicsandenvironmentunderwhichMRPisdesignedaredescribed.2.Wewillprovideinthissectionbasicterminologiesandnotationswhicharenecessaryfortheunderstandingofsubsequentresults.NextSection2.Thenextsectiondescribesthemathematicsthatgoesintothecomputerimplementationofsuchfuzzylogicstatements.3.However,itiscumbersomeforthispurposeandinpracticalapplicationstheformulaewererearrangedandsimplifiedasdiscussedinthenextsection.4.Thethreecomponentswillbedescribedinthenexttwosection,andanexampleofxxanalysisofacomputerinformationsystemwillthenillustratetheiruse.5.WecaninterprettheresultsofExperimentsIandIIasinthefollowingsections.6.ThenextsectionsummarizesthemethodinafromthatisusefulforargumentsbasedonxxSummary1.Thispaperconcludeswithadiscussionoffutureresearchconsiderationinsection5.2.Section5summarizestheresultsofthisinvestigation.3.Section5givestheconclusionsandfuturedirectionsofresearch.4.Section7providesasummaryandadiscussionofsomeextensionsofthepaper.5.Finally,conclusionsandfutureworkaresummarized6.Thebasicquestionsposedabovearethendiscussedandconclusionsaredrawn.7.Section7istheconclusionofthepaper.Chapter0.Abstract1.Abasicprobleminthedesignofxxispresentedbythechoiceofaxxrateforthemeasurementofexperimentalvariables.2.Thispaperexaminesanewmeasureofxxinxxbasedonfuzzymathematicswhichovercomesthedifficultiesfoundinotherxxmeasures.3.Thispaperdescribesasystemfortheanalysisofthexx.4.Themethodinvolvestheconstructionofxxfromfuzzyrelations.5.Theprocedureisusefulinanalyzinghowgroupsreachadecision.6.Thetechniqueusedistoemployanewlydevelopedandversatilexxalgorithm.7.Theusefulnessofxxisalsoconsidered.8.Abriefmethodologyusedinxxisdiscussed.9.Theanalysisisusefulinxxandxxproblem.10.Amodelisdevelopedforaxxanalysisusingfuzzymatrices.11.Algorithmstocombinetheseesti