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@#@@#@ Beginningl Inthispaper,wefocusontheneedforl Thispaperproceedsas Thestructureofthepaperisas Inthispaper,weshallfirstbrieflyintroducefuzzysetsandrelatedconceptsl TobeginwithwewillprovideabriefbackgroundontheIntroductionl Thiswillbefollowedbyadescriptionofthefuzzynatureoftheproblemandadetailedpresentationofhowtherequiredmembershipfunctionsare Detailsonxxandxxarediscussedinlater Inthenextsection,afterastatementofthebasicproblem,varioussituationsinvolvingpossibilityknowledgeareinvestigated:
@#@first,anentirelypossibilitymodelisproposed;@#@thenthecasesofafuzzyservicetimewithstochasticarrivalsandnon‑fuzzyserviceruleisstudied;@#@lastly,fuzzyserviceruleare Thisreviewisfollowedbyanintroduction.l AbriefsummaryofsomeoftherelevantconceptsinxxxandxxxispresentedinSection Inthenextsectionabriefviewofthe....isgiven.l Inthenextsection,ashortreviewof...isgivenwithspecialregardto...l Section2reviewsrelevantresearchrelatedto Sectionbrieflysurveysthemotivationforamethodologyofaction,whilelooksatthedifficultiesposedbythecomplexityofsystemsandoutlinestheneedfordevelopmentofpossibility Section1definesthenotionofrobustness,andarguesforits Section1devotedtothebasicaspectsoftheFLCdecision‑making Section2givesthebackgroundoftheproblemwhichincludesxxxl Section2discussessomeproblemswithandapproachesto,naturallanguage Section2explainshowflexibilitywhichoften...canbeexpressedintermsoffuzzytime‑windowl Section3discussestheaspectsoffuzzysettheorythatareusedinthe...l Section3describesthesystemitselfinageneralway,includingthe..andalsodiscusseshowtoevaluatesystem Section3describesanewmeasureof Section3demonstratestheuseoffuzzypossibilitytheoryintheanalysisof Section3isafinedescriptionoffuzzyformulationofhuman Section3,isdevelopedtothemodelingandprocessingoffuzzydecisionrulesl ThemainideaoftheFLCisdescribedinSection3whileSection4describesthexx Section3and4showexperimentalstudiesforverifyingtheproposed Section4discussesapreviousfuzzyset‑basedapproachtocostvariance Section4givesaspecificexampleof Section4istheexperimentalstudytomakeafuzzymodelofmemory Section4containsadiscussionoftheimplicationoftheresultsofSection2and Section4appliesthisfuzzymeasuretotheanalysisofxxandillustrateitsuseonexperimental Section5presentstheprimaryresultsofthepaper:
@#@afuzzysetmodel..l Section5containssomeconclusionsplussomeideasforfurther Section6illustratethemodelwithan VariouswaysoffuzzificationandthereasonsfortheirchoicearediscussedverybrieflyinSection InSection2arepresentedtheblockdiagramexpressionofawholemodelofhumanDMsysteml InSection2weshalllistacollectionofbasicassumptionswhicha...schememust InSection2ofthispaper,wepresentrepresentationanduniquenesstheoremsforthefundamentalmeasurementoffuzzinesswhenthedomainofdiscourseisorder‑ InSection3,wedescribethepreliminaryresultsofanempiricalstudycurrentlyinprogresstoverifythemeasurementmodelandtoconstructmembership InSection5isanalyzedtheinferenceprocessthroughthetwokindsofinferenceexperiments...ThisSectionl Inthissection,thecharacteristicsandenvironmentunderwhichMRPisdesignedare WewillprovideinthissectionbasicterminologiesandnotationswhicharenecessaryfortheunderstandingofsubsequentSectionl Thenextsectiondescribesthemathematicsthatgoesintothecomputerimplementationofsuchfuzzylogic However,itiscumbersomeforthispurposeandinpracticalapplicationstheformulaewererearrangedandsimplifiedasdiscussedinthenext Thethreecomponentswillbedescribedinthenexttwosection,andanexampleofxxanalysisofacomputerinformationsystemwillthenillustratetheir WecaninterprettheresultsofExperimentsIandIIasinthefollowing ThenextsectionsummarizesthemethodinafromthatisusefulforargumentsbasedonxxSummaryl Thispaperconcludeswithadiscussionoffutureresearchconsiderationinsection Section5summarizestheresultsofthis Section5givestheconclusionsandfuturedirectionsof Section7providesasummaryandadiscussionofsomeextensionsofthe Finally,conclusionsandfutureworkaresummarizedl Thebasicquestionsposedabovearethendiscussedandconclusionsare Section7istheconclusionofthe0.Abstractl Abasicprobleminthedesignofxxispresentedbythechoiceofaxxrateforthemeasurementofexperimental Thispaperexaminesanewmeasureofxxinxxbasedonfuzzymathematicswhichovercomesthedifficultiesfoundinotherxx Thispaperdescribesasystemfortheanalysisofthe Themethodinvolvestheconstructionofxxfromfuzzy Theprocedureisusefulinanalyzinghowgroupsreacha Thetechniqueusedistoemployanewlydevelopedandversatilexx Theusefulnessofxxisalso Abriefmethodologyusedinxxis Theanalysisisusefulinxxandxx Amodelisdevelopedforaxxanalysisusingfuzzy Algorithmstocombinetheseestimatesandproduceaxxarepresentedand Theuseofthemethodisdiscussedandanexampleis Resultsofanexperimentalapplicationsofthisxxanalysisprocedurearegiventoillustratetheproposed Thispaperanalysesproblemsinl Thispaperoutlinesthefunctionscarriedoutby...l Thispaperincludesanillustrationofthe...l Thispaperprovidesanoverviewandinformationusefulforapproachingl Emphasisisplacedontheconstructionofacriterionfunctionbywhichthexxinachievingahierarchicalsystemofobjectivesare Themainemphasisisplacedontheproblemofxxl Ourproposedmodelisverifiedthroughexperimental Theexperimentalresultsrevealinterestingexamplesoffuzzyphasesof:
@#@xx,xxl Thecompatibilityofaprojectintermsofcost,andxxarelikewiserepresentedbylinguistic AdidacticexampleisincludedtoillustratethecomputationalprocedureChapter1.IntroductionTimel Overthecourseofthepast30years,..hasemergedformintuitivel Technologicalrevolutionshaverecentlyhittheindustrialworldl Theadventof...systemsforhashadasignificantimpactonthel Thedevelopmentof...isexploredl Duringthepastdecade,thetheoryoffuzzysetshasdevelopedinavarietyofdirections,l Theconceptofxxwasinvestigatedquiteintensivelyinrecentyearsl Therehasbeenaturningpointin...methodologyinaccordancewiththeadventof...l Amajorconcernin...todayistocontinuetoimprove...l Axxisalatecomerinthepartrepresentation Atthetimeofthiswriting,thereisstillnostandardwayofxxl Althoughalotofeffortisbeingspentonimprovingtheseweaknesses,theefficientandeffectivemethodhasyettobe Thepioneerworkcanbetracedtoxx[1965].l Todate,noneofthemethodsdevelopedisperfectandallarefarfromreadytobeusedincommercial/Goal/Purposel Thepurposeoftheinferenceenginecanbeoutlinedasfollows:
@#@l Theultimategoalofthexxsystemistoallowthenon‑expertstoutilizetheexistingknowledgeintheareaofmanualhandlingofloads,andtoprovideintelligent,computer‑aidedinstructionfor Thepaperconcernsthedevelopmentofaxxl Thescopeofthisresearchliesinl Themainthemeofthepaperistheapplicationofrule‑baseddecision Theseobjectivesaretobemetwithsuchthoroughnessandconfidenceastopermit...l Theobjectivesofthe...operationsstudyareasfollows:
@#@l Theprimarypurpose/consideration/objectiveofl Theultimategoalofthisconceptistoprovidel Themainobjectiveofsucha...systemistol Theaimofthispaperistoprovidemethodstoconstructsuchprobability Inordertoachievetheseobjectives,anxxmustmeetthefollowingrequirements:
@#@l Inordertotakeadvantageoftheirsimilarityl moreresearchisstillrequiredbeforefinalgoalof...canbecompletedl Inthistrial,theobjectiveistogenerate...l forthesakeofconcentratingon...researchissuesl Amajorgoalofthisreportistoextendtheutilizationofarecentlydevelopedprocedureforthe Foranillustrativepurpose,fourwell‑knownORproblemsarestudiedinpresenceoffuzzydata:
@#@ Amajorthrustofthepaperistodiscussapproachesandstrategiesforstructuring..methodsl Thisillustrationpointsouttheneedtospecifyl Theultimategoalisbothdescriptiveand Chapter2.LiteratureReviewl Awealthofinformationistobefoundinthestatisticsliterature,forexample,regardingxxl Aconsiderableamountofresearchhasbeendone..duringthelastdecadel Agreatnumberofstudiesreportonthetreatmentofuncertaintiesassociatedwith Thereisconsiderableamountofliteratureonplanningl However,thesestudiesdonotprovidemuchattentiontoundertaintyin Sincethen,thesubjecthasbeenextensivelyexploredanditisstillunderinvestigationaswellinmethodologicalaspectsasinconcrete Manyresearchstudieshavebeencarriedoutonthis Problemofxxdrawrecentlymoreandmoreattentionofsystem Attemptstoresolvethisdilemmahaveresultedinthedevelopmentofl Manycomplexprocessesunfortunately,donotyieldtothisdesignprocedureandhave,therefore,notyetbeen Mostofthemethodsdevelopedsofararedeterministicand/orprobabilisticin Thecentralissueinallthesestudiesi