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BeginninglInthispaper,wefocusontheneedforlThispaperproceedsasfollow.lThestructureofthepaperisasfollows.lInthispaper,weshallfirstbrieflyintroducefuzzysetsandrelatedconceptslTobeginwithwewillprovideabriefbackgroundontheIntroductionlThiswillbefollowedbyadescriptionofthefuzzynatureoftheproblemandadetailedpresentationofhowtherequiredmembershipfunctionsaredefined.lDetailsonxxandxxarediscussedinlatersections.lInthenextsection,afterastatementofthebasicproblem,varioussituationsinvolvingpossibilityknowledgeareinvestigated:first,anentirelypossibilitymodelisproposed;thenthecasesofafuzzyservicetimewithstochasticarrivalsandnon‑fuzzyserviceruleisstudied;lastly,fuzzyserviceruleareconsidered.ReviewlThisreviewisfollowedbyanintroduction.lAbriefsummaryofsomeoftherelevantconceptsinxxxandxxxispresentedinSection2.lInthenextsectionabriefviewofthe....isgiven.lInthenextsection,ashortreviewof...isgivenwithspecialregardto...lSection2reviewsrelevantresearchrelatedtoxx.lSection1.1brieflysurveysthemotivationforamethodologyofaction,while1.2looksatthedifficultiesposedbythecomplexityofsystemsandoutlinestheneedfordevelopmentofpossibilitymethods.BodylSection1definesthenotionofrobustness,andarguesforitsimportance.lSection1devotedtothebasicaspectsoftheFLCdecision‑makinglogic.lSection2givesthebackgroundoftheproblemwhichincludesxxxlSection2discussessomeproblemswithandapproachesto,naturallanguageunderstanding.lSection2explainshowflexibilitywhichoften...canbeexpressedintermsoffuzzytime‑windowlSection3discussestheaspectsoffuzzysettheorythatareusedinthe...lSection3describesthesystemitselfinageneralway,includingthe..andalsodiscusseshowtoevaluatesystemperformance.lSection3describesanewmeasureofxx.lSection3demonstratestheuseoffuzzypossibilitytheoryintheanalysisofxx.lSection3isafinedescriptionoffuzzyformulationofhumandecision.lSection3,isdevelopedtothemodelingandprocessingoffuzzydecisionruleslThemainideaoftheFLCisdescribedinSection3whileSection4describesthexxstrategies.lSection3and4showexperimentalstudiesforverifyingtheproposedmodel.lSection4discussesapreviousfuzzyset‑basedapproachtocostvarianceinvestigation.lSection4givesaspecificexampleofxxx.lSection4istheexperimentalstudytomakeafuzzymodelofmemoryprocess.lSection4containsadiscussionoftheimplicationoftheresultsofSection2and3.lSection4appliesthisfuzzymeasuretotheanalysisofxxandillustrateitsuseonexperimentaldata.lSection5presentstheprimaryresultsofthepaper:afuzzysetmodel..lSection5containssomeconclusionsplussomeideasforfurtherwork.lSection6illustratethemodelwithanexample.lVariouswaysoffuzzificationandthereasonsfortheirchoicearediscussedverybrieflyinSection2.lInSection2arepresentedtheblockdiagramexpressionofawholemodelofhumanDMsystemlInSection2weshalllistacollectionofbasicassumptionswhicha...schememustsatisfy.lInSection2ofthispaper,wepresentrepresentationanduniquenesstheoremsforthefundamentalmeasurementoffuzzinesswhenthedomainofdiscourseisorder‑dense.lInSection3,wedescribethepreliminaryresultsofanempiricalstudycurrentlyinprogresstoverifythemeasurementmodelandtoconstructmembershipfunctions.lInSection5isanalyzedtheinferenceprocessthroughthetwokindsofinferenceexperiments...ThisSectionlInthissection,thecharacteristicsandenvironmentunderwhichMRPisdesignedaredescribed.lWewillprovideinthissectionbasicterminologiesandnotationswhicharenecessaryfortheunderstandingofsubsequentresults.NextSectionlThenextsectiondescribesthemathematicsthatgoesintothecomputerimplementationofsuchfuzzylogicstatements.lHowever,itiscumbersomeforthispurposeandinpracticalapplicationstheformulaewererearrangedandsimplifiedasdiscussedinthenextsection.lThethreecomponentswillbedescribedinthenexttwosection,andanexampleofxxanalysisofacomputerinformationsystemwillthenillustratetheiruse.lWecaninterprettheresultsofExperimentsIandIIasinthefollowingsections.lThenextsectionsummarizesthemethodinafromthatisusefulforargumentsbasedonxxSummarylThispaperconcludeswithadiscussionoffutureresearchconsiderationinsection5.lSection5summarizestheresultsofthisinvestigation.lSection5givestheconclusionsandfuturedirectionsofresearch.lSection7providesasummaryandadiscussionofsomeextensionsofthepaper.lFinally,conclusionsandfutureworkaresummarizedlThebasicquestionsposedabovearethendiscussedandconclusionsaredrawn.lSection7istheconclusionofthepaper.Chapter0.AbstractlAbasicprobleminthedesignofxxispresentedbythechoiceofaxxrateforthemeasurementofexperimentalvariables.lThispaperexaminesanewmeasureofxxinxxbasedonfuzzymathematicswhichovercomesthedifficultiesfoundinotherxxmeasures.lThispaperdescribesasystemfortheanalysisofthexx.lThemethodinvolvestheconstructionofxxfromfuzzyrelations.lTheprocedureisusefulinanalyzinghowgroupsreachadecision.lThetechniqueusedistoemployanewlydevelopedandversatilexxalgorithms.lTheusefulnessofxxisalsoconsidered.lAbriefmethodologyusedinxxisdiscussed.lTheanalysisisusefulinxxandxxproblem.lAmodelisdevelopedforaxxanalysisusingfuzzymatrices.lAlgorithmstocombinetheseestimatesandproduceaxxarepresentedandjustified.lTheuseofthemethodisdiscussedandanexampleisgiven.lResultsofanexperimentalapplicationsofthisxxanalysisprocedurearegiventoillustratetheproposedtechnique.lThispaperanalysesproblemsinlThispaperoutlinesthefunctionscarriedoutby...lThispaperincludesanillustrationofthe...lThispaperprovidesanoverviewandinformationusefulforapproachinglEmphasisisplacedontheconstructionofacriterionfunctionbywhichthexxinachievingahierarchicalsystemofobjectivesareevaluated.lThemainemphasisisplacedontheproblemofxxlOurproposedmodelisverifiedthroughexperimentalstudy.lTheexperimentalresultsrevealinterestingexamplesoffuzzyphasesof:xx,xxlThecompatibilityofaprojectintermsofcost,andxxarelikewiserepresentedbylinguisticvariables.lAdidacticexampleisincludedtoillustratethecomputationalprocedureChapter1.IntroductionTimelOverthecourseofthepast30years,..hasemergedformintuitivelTechnologicalrevolutionshaverecentlyhittheindustrialworldlTheadventof...systemsforhashadasignificantimpactonthelThedevelopmentof...isexploredlDuringthepastdecade,thetheoryoffuzzysetshasdevelopedinavarietyofdirections,lTheconceptofxxwasinvestigatedquiteintensivelyinrecentyearslTherehasbeenaturningpointin...methodologyinaccordancewiththeadventof...lAmajorconcernin...todayistocontinuetoimprove...lAxxisalatecomerinthepartrepresentationarena.lAtthetimeofthiswriting,thereisstillnostandardwayofxxlAlthoughalotofeffortisbeingspentonimprovingtheseweaknesses,theefficientandeffectivemethodhasyettobedeveloped.lThepioneerworkcanbetracedtoxx[1965].lTodate,noneofthemethodsdevelopedisperfectandallarefarfromreadytobeusedincommercialsystems.Objective/Goal/PurposelThepurposeoftheinferenceenginecanbeoutlinedasfollows:lTheultimategoalofthexxsystemistoallowthenon‑expertstoutilizetheexistingknowledgeintheareaofmanualhandlingofloads,andtoprovideintelligent,computer‑aidedinstructionforxxx.lThepaperconcernsthedevelopmentofaxxlThescopeofthisresearchliesinlThemainthemeofthepaperistheapplicationofrule‑baseddecisionmaking.lTheseobjectivesaretobemetwithsuchthoroughnessandconfidenceastopermit...lTheobjectivesofthe...operationsstudyareasfollows:lTheprimarypurpose/consideration/objectiveoflTheultimategoalofthisconceptistoprovidelThemainobjectiveofsucha...systemistolTheaimofthispaperistoprovidemethodstoconstructsuchprobabilitydistribution.lInordertoachievetheseobjectives,anxxmustmeetthefollowingrequirements:lInordertotakeadvantageoftheirsimilaritylmoreresearchisstillrequiredbeforefinalgoalof...canbecompletedlInthistrial,theobjectiveistogenerate...lforthesakeofconcentratingon...researchissueslAmajorgoalofthisreportistoextendtheutilizationofarecentlydevelopedprocedureforthexx.lForanillustrativepurpose,fourwell‑knownORproblemsarestudiedinpresenceoffuzzydata:xx.lAmajorthrustofthepaperistodiscussapproachesandstrategiesforstructuring..methodslThisillustrationpointsouttheneedtospecifylTheultimategoalisbothdescriptiveandprescriptive.lChapter2.LiteratureReviewlAwealthofinformationistobefoundinthestatisticsliterature,forexample,regardingxxlAconsiderableamountofresearchhasbeendone..duringthelastdecadelAgreatnumberofstudiesreportonthetreatmentofuncertaintiesassociatedwithxx.lThereisconsiderableamountofliteratureonplanninglHowever,thesestudiesdonotprovidemuchattentiontoundertaintyinxx.lSincethen,thesubjecthasbeenextensivelyexploredanditisstillunderinvestigationaswellinmethodologicalaspectsasinconcreteapplications.lManyresearchstudieshavebeencarriedoutonthistopic.lProblemofxxdrawrecentlymoreandmoreattentionofsystemanalysis.lAttemptstoresolvethisdilemmahaveresultedinthedevelopmentoflManycomplexprocessesunfortunately,donotyieldtothisdesignprocedureandhave,therefore,notyetbeenautomated.lMostofthemethodsdevelopedsofararedeterministicand/orprobabilisticinnature.lThecentralissueinallthesestudiesistolTheproblemofxxhasbeenstudiedbyotherinvestigators,however,thesestudieshavebeenbaseduponclassicalstatisticalapproaches.lApplied...techniquestolCharacterizedthe...systemaslDevelopedanalgorithmtolDevelopedasystemcalled...whichlUsesaniterativealgorithmtodeducelEmphasizedtheneedtolIdentifiessixkeyissuessurroundinghightechnologylAcomprehensivestudyofthe..hasbeenundertakenlMuchworkhasbeenreportedrecentlyinthesefiledlProposedlPresentedlStatethatlPointoutthattheproblemoflDescribedlIllustratedlIndicatedlHasshown/showedlAddresslHighlightslAstudyon...wasdone/developedby[]lPreviouswork,suchas[]and[],dealonlywithlTheapproachtakenby[]islThesystemdevelopedby[]consistslApaperrelevanttothisresearchwaspublishedby[]l[]''''smodelrequiresconsiderationof..l[]''''modeldrawsattentiontoevolutioninhumandevelopmentl[]''''smodelfocuseson...lLittleresearchhasbeenconductedinapplying...tolThepublishedinformationthatisrelevanttothisresearch...lThisstudyfurthershowsthatlTheirworkisbasedontheprincipleoflMorehistoryof...canbefoundinxxetal.[1979].lStudieshavebeencompletedtoestablishedlThe...studiesindicatedthatlThoughapplicationofxxinthefiledofxxhasproliferatedinrecentyears,effortinanalyzingxx,especiallyxx,islacking.Problem/Issue/QuestionlUnfortunately,real-worldengineeringproblemssuchasmanufacturingplanningdonotfitwellwiththisnarrowlydefinedmodel.Theytendtospanbroadactivitiesandrequireconsiderationofmultipleaspects.lRemedy/solve/alleviatetheseproblemsl...isadifficultproblem,yettobeadequatelyresolvedlTwomajorproblemshaveyettobeaddressedlAnunansweredquestionlThisprobleminessenceinvolvesusingxtoobtainasolution.lAnadditionalresearchissuetobetackledis....lSomeimportantissuesindevelopinga...systemarediscussedlThethreeprimeissuescanbesummarized:lThesituationleadstotheproblemofhowtodeterminethe...lTherehavebeenmanyattemptstolItisexpectedtobeseriousbarriertolItoffersasimplesolutioninalimiteddomainforacomplexproblem.lThereareseveralwaystogetaroundthisproblem.lAsdifficultasitseemstobe,xxisbynomeansnew.lTheproblemistorecognizexxfromadesignrepresentation.lAxxproblemcantraceitsrootstoxx.lxx[1987]usedaheuristicapproachtosimplifythecomplexityoftheproblem.lSeveralproblemsareassociatedwiththem.lAlthoughsomeprogresshasbeenmadeinthisarea,atleasttwomajorobstaclesmustbeovercomebeforeafullyautomatedsystemcanberealized.lMostproblemsinpracticearecomplicatedlMoreproblemsurfacehere.lHamperefforttowardaxxsystemlInordertoovercomethelimitationsduetoincompleteandimprecisexxknowledge,axxprogramhasbeendeveloped,whichbasesitsknowledgeuponthestatisticalanalysisofasamplepopulationofxxlTheabovedifficultiesarerealchallengesfacedbyresearchersattemptingtodeveloplThistypeofmappingraisesnocontroversytotheissueofmembershipfunctiondetermination.lHowever,attemptstoquantifythexxhavemetboththeoreticalandempiricalproblems.lIthasbecomeapparentthatinordertoapplythisnewmethodologicalframeworktoreal‑worldproblemsanddata,wehavetopayattentiontotheproblemsofxxandxx.Chapter3.ProposedmethodologyAssumptionlInthecasewhentheassumptionofaxxseemstobetoorestrictiveorinadequate,theformulationwithFuzzyterminationtime,i.e.givenbyafuzzysetinthespaceofcontrolstages,maybeapplied.lWeassumeherethefuzzyconstraintstobestate‑dependent,andthefuzzygoaltobethesameforallthecontrolstates,xx,whichstemsfromtheproblem''''snature.lAnapproachtothesolutionofthisproblemispresentedundertheassumptionthatthesamplingrateDecisioncanbemadepriortotheexecutionoftheexperiment,asopposedtobeingmadewhiletheexperimentisinprogress.lAnotherassumptionmadeaboveisthattherearepreciseoddsatwhichtheexpertisindifferent.lMainsimplifyingassumptionsare:lThis,inourview,isaquestionableassumption.Outline/Structure/ModulelAnoutlineoftheresearchlInformationisincorporatedwithintheschemelIsbuiltinto...structurelAnicemodularstructure.lTheprinciplesof...areappliedasmodularizedcriteriaClassificationlAxxsystemcomprisesthreemaincomponents:lMustdecomposetheoriginal..intoasetof..lConsistsofthefollowingsteps:lThisissummarizedinthefollowingsteps:lCanbebroadlyclassifiedintothefollowingareas:lCanbecharacterizedbyitsfunctionofeffectivelyprocessingthelCanallowfurtherbreadthofapplicationof...intomorelThefollowingstepsshouldbefollowedlxxcanbeclassifiedbyadifferentways.lBasedonthexx,onemayclassifyxxintothefollowing:lThiscatalogmaychangeduetowear,breakage,andpurchasing.SystemlUnlikemanyconventionalprogram,expertsystemsdonotusuallydealwithproblemforwhichthereisclearlyarightorwronganswer.lThesystemconsistsofboth...and...lThesystemhasahierarchicalmodulararchitectureorganizedonthreelevels.lexpertsystemdomainsareareaofexpertiselTodevelopaxxsystemforxx,thefollowingfactorsmustbeconsidered:lThesystemhasbeendeveloped/designedtodeterminelThesystemhasproventobeabletolThedomaininwhichanexpertsystemoperatesisaparticulardomainlThesystemcomprisesa...withlThesystemis[feature-oriented]/basedonthe...techniquelThesystemenvironmentmustberelativelysbrlThesystemisutilizedtogenerate,load,store,updateandretrieve...lThedevelopmentofaxxsystemhastwostages:xxstageandxxstage.lThemostessentialpartof..systemisthe...lThesuccessfuldevelopmentsinESshavemadethemanimportanttoolinthedevelopmentoflAnautomatedsystemwasdevelopedforlInthiscase,thesystemcanbeconsideredtobegenerative.lAninteractiveautomatic...systemlA..iscommonlythoughtofasatrulyintegrated..systemlShouldbecapableofbeinggeneratedfroma...systemlxxisanimportantpartoftheintegratedsystem.lThemodelconsistsoffourrulebases,eachofwhichaddressesaseparateprobleminthehierarchyofschedulingdecision.lTherulebasesarelinkedtoeachotherinachin‑puterSystemlThesystemhasbeenimplementedusingProloglanguageinanMS‑DOSenvironment.Prologwaschosenbecauseitoffersawellknownandflexibleenvironmentinwhichfuzzyreasoningmaybeeasilyimplemented.lThecurrentversionofthexxprogramwhencompiledwithWATFOR77resultsinanexecubrcodeofabout270Kbytes.Typicalruntime,whenrunonaXXcomputer(anIBMcompatiblemachine)operatingat4.77Mhzwith640KRAM,rangesfrom10minto2h,dependingonthesize(orcomplexity)oftheproblem.lTimeconsumingprocedureshavebeenimplementedinC‑languageanddirectlylinkedtothePrologenvironment.lThexxprocess,oncethexx''''sdatahasbeenentered,requiresapproximately180seconds.lItshouldbenotedthatthecomputationwasdonewitha20Hhz,80386‑basedmicrocomputerequippedwitha80387mathco‑processor.lThecomputerprogramsusedfortheanalyses,onebasedonthexxmethodandtheotherbasedonthenewmethod,werewritteninFORTRANwithacompilerthatsupportsthemathco‑processor.lLisp,Prologgivemaximumflexibilitybutalsomaximizesdevelopmenttime.lInternalrepresentationisthewayamodelisrepresentedinthecomputer.lAninteractivemenu-drivenprocedureisusedinthisstudylShellcanbedevelopveryfastatthecostoftimefairlyseverelimitations.lWhilethereisnomeasurablesavingoftimeforthecaseinvolvingfivecriteria,thesavingisdramaticforthecaseinvolving10criteria--thecomputationtimereducesfrom10hr40mintoabout1min.lThiscombinationisbeingimplementedinanobjected‑orientedprogrammingenvironment(Smalltalk‑80system)tosolveproblemsencounteredinconstructionxxx.Method/Approach/Study/ProcessModel/Equation/Algorithm/Rule/Formula/TechniquelAdiscussionispresentedofaproblem-solvingsystemlToimprovetheefficiencyofthemethod,thefollowingapproachmaybeapplied.lInordertoaninvestigationwasmadetofindthecausesofthelAlthoughlargecollectionsofrulesandequationshavebeencomplied,nonearegenerallyacceptedlThisapproachwillbeexplainedanddiscussedthoroughlyinthebodyofthereport.lThiscanbeaccomplishedbylThisalgorithmtocomputethetotalcostcanbedescribedstepbystepasfollows:lTheabovepreliminaryanalysishasprovidedimportantinformationlVariousmethodshavebeenproposedforselectinganoptimum...lTheseconceptshavebeenappliedtolOnthebasisoftheconceptmentionedabove,lThiscanbeachievedbylThisfactsuggeststhatanewconceptlThiswasaccomplishedbytaking...lThepreparatorystageisverytimeconsumingprocess.lTestareperformedforvalidity,completeness,andcompatibilitylThereislittlehopeofachievingsuccessful...lTherehasbeenanincreasingawarenessofthepotentialofusingmost..sofarmadehavenottakenthisapproach,withtheexceptionoflOnlyafewstudiescanbefound.lItisaverytediousprocesstogothroughlItisonlywhen..hasbeencompletedthat..maybeeffectedlTheentireinterpretationprocessisconductedinone''''shead.lTheseapproachesaresometimesverytedious.lSeveraltechniquescanbeusedlApolynomialparametricmodelcanbewrittenas[thefollowing]/[follows]:lAxxmodelisconstructed/formulatedusingxx.lAxxmodelrepresentsanxxbyitsxx.lAprocessdecisionmodelcapturesthelogicessentialtolFromtheequationabove,xxisequaltothesummationofxxtimesthe...lThevalidityofaxxmodelcanbecheckedusingEuler''''sformula.lGivenamodel,onecanmathematicallydeterminewhether...or...lEquationsforxxneedtobederivedandimplementedinthesystem.lAnumberofheuristicruleshavebeendevelopedforlOptimum..techniquescanbemademorereliableby...sothatlAnalgorithmbasedonthecharacteristic...isusedtodeterminelEuler''''sformulastatesthefollowing:lThecompletedmodelshouldagreewiththeformula.lFormanufacturingpurposes,adetailedandprecisemodeloftheobjectisnecessarylEngineeringdesignmodelsareverywelldefined;therefore,lTokeepthedomainnarrowenoughtobeimplemenbr,yetwideenoughtobeuseful.PointofViewlfromanimplementationstandpoint,lFromthepointofviewofthisapplication,lFromthispointofview,Zadehsuggestedaninferencerulenamedxxx(CRIforshort).lInformationisthemeaningfulinterpretationandcorrelationofsomeaggregationofdatainordertoallowonetomakedecisions.lFromapracticalpointofview,thecomputationalaspectsofanFLCrequireasimplificationofthefuzzycontrolalgorithm.lTheuseofahammertoinsertscrews,althoughpartlyeffective,tendstodistort,destroy,andgenerallydefeatthepurposeofusingascrew[KusiakAIImplicationsforCIMp.129]JustificationlWechoosethesocalledxxinourexperimentbecauseithasreceivedwideacceptanceandcanlPrologwaschosenbecauseitoffersawellknownandflexibleenvironmentinwhichfuzzyreasoningmaybeeasilyimplemented.lTherationalebehindthisisthatitcanbemucheasierforanestimatortorateacostashighthantoattempttoplaceadollarvalueontheestimate.lThisstrategyhasbeenwidelyusedinfuzzycontrolapplicationssinceitisnaturalandeasytoimplement.lAfunctiondefinitionexpressesthemembershipfunctionofafuzzysetinafunctionalform,typicallyabell‑shapedfunction,etc.SuchfunctionsareusedinFLCbecausetheyleadthemselvestomanipulationthroughtheuseoffuzzyarithmetic.lItshouldbenotedthatinourdailylifemostoftheinformationonwhichourdecisionsarebasedislinguisticratherthannumericalinnature.Seeninthisperspective,fuzzycontrolrulesprovideanaturalframeworkforthecharacterizationofhumanbehavioranddecisionsanalysis.lManyexpertshavefoundthatfuzzycontrolrulesprovideaconvenientwaytoexpresstheirdomainknowledge.ThisexplainswhymostFLCsarebasedontheknowledgeandexperiencewhichareexpressedinthelanguageoffuzzy"if‑the"rule.Chapter4.ExamplesExample/DatalThedatausedinthefollowingexamplewastakenfromanexperimentinwhichxxwasmeasuredbetweenxandxusingaxxtechnique.lThedataconsistsofoverxxmeasurements.lAnexampleofxxisdiscussedandthecontrolrulesofxxarecomparedwithaxxlExamplesofcomplexprocessestowhichthistechniquemaybeappliedarexx,xx,etc.lThefollowingexampleisconstructedonlyforthepurposeofillustratingthecomputationalprocedurediscussed.lThisexampleclearlydemonstratesthattheprofileofanindividualxx,oraverysmallgroupofxx,withnoenoughdatatobestudiedstatistically,canbemeaningfullyanalyzedbyfuzzypossibilisticmethods.lThereisnospaceheretogointodetailonallthesemethods,parisonslAswell,theprosandconsoftheserepresentationsfromaprocessplanningpointofviewwillbediscussed.lThemethodofusingxxtoimplementxxdescribedbyZadeh(1973)appearedmoresuibrlAsdiscussed[intheprevioussection]/[preciously],RelationlWecannotinvertF''''directlybecauseitdefinesamany-to-onemapping.lTherelationshipsappearverycomplicatelLiftingtasksinvolvecomplexandimpreciserelationshipbetweenthetaskvariablesandthehumanoperator''''scharacteristics.lThesemethodsarebasedontherelationshipbetween...and...lThefundamentalconceptofafuzzyratinglanguageisthatwecanestablisharelationshipamongtermssuchashigh,medium,andlow,andthenmodifytheserelationships.lThisarticlewillthusmentionthelatteraswellastheformer.lTheformertwobearacloserelationtoafuzzyCartesianproduct.ImportancelTheemphasisisonanimplementationofageneralapproachtorulebaseddecisionmaking.Consideration/AttentionlCarefulevaluationisnecessarytoensurelSuchaformulationdoesnotchangefurtherconsiderations.lConsiderableattentionhasbeenpaidtolAttentionshouldbepaidtoanimportantfindingofthisinvestigation.lCautionshouldbeexercisedinthisprocesstoavoid...lPrimaryconsiderationisgivento...components,thoughotherscanbeaccommodatedlAfter...hasbeendefinedby...,acarefullyanalysisiscarriedout/performedtodeterminelAnumberoffactorssuchas...needtobetakenintoconsiderationbeforemakingtheappropriatedecision.lItshouldbenotedthatlItisimportanttopointoutthat...lTheseconsiderationshaveheightenedinterestinthepossibilityofproviding...lWeshouldstressthefundamentalimportanceofthexxChapter5.Results.Advantages/DisadvantagelOneofthemajoradvantagesofthisnewmeasureofxxisthatitcanbeappliedtotheexperimentalstudyoflOneadvantageofusinga..istheeaseofpreparingit.lThexxsystemisversatilelIthasaveryfastdecisionmakingprocesslAllthealgorithmsinvolvemostlylogicaloperations.lItcanbeeasilyandwithoutadditionalcostimplementedinamicroprocessor‑basedenvironment.lItcanreducethewasteofdesigningfromscratch.lTheadvantagesofusingaxxtorepresentxxarethefollowing:lHowever,xxisnotwithoutitsshortcomings.lInmostcases,thexxxshowsanimprovementovertheexistingxxx.lComparedtotheexistingxx,theimpactsofthexxaregenerallyreducedby5%to9%.lThe"bestcase"resultsshowsasavingsof6%to9%.lMostoftheexistingworksbasedonxxapproachcanonlyrecognizeaxx.lMostoftheabovemethodsarecomputationalexpansiveandlimitedtoxx.lSomeotheradvantagesofxxarethefollowing:lTheproblemisthelimitationofthismethodtoalimiteddomainofparts.lItprovedlimitedinapplicationbecauseitdemandedprecisioninsystemmodelingthatwasimpossibleinpractice.lThereareadvantagestobegainedinthestructuringofcostsandbenefits,theuseofxx,lThedisadvantagesofthismethodarealsodisadvantagesofconventionalxxapproaches.lThiscombinesthebestfeaturesofbothtechniqueslHopefully,thistoolcanbeasthereferenceframeworkoffordevelopingaxxplatform,andhelpingtheadministration,marketing,andknowledgemanagementactivitiesinvirtualcommunities.ResultslAnimprovementontheresultshownabovecanbemadebybasedonthedataprovidedlDiscussionofthesetheoriesisbeyondthescopeofthisreviewlBasedontheinformationcontainedinthislTheresultcanbecategorizedintonineclasseslTheresultsareillustratedbyanexamplelTheexperimentalresultsforeachxxtimearereportedinbr2.lFromtheresultsobtainedsofar,itseemthatlBecauseoftheinaccuracyofthe...,aconclusioncannotbedrawnaslAlthoughmuchefforthasbeenmadeto.,thisrealityisfarfromcompletion.lTheresultsindicatethatthetotalbenefitsarehigherthanthetotalcosts.lTheirresultsmaythenserveasguidelinesforlowerlevelmodels,lessfuzzyandmoredetailed.Chapter6.ConclusionlFromthediscussion,onemayconcludethat...lFormtheabovediscussion,theconclusioncanbereachedthatlTheconclusionsdrawnarealsovalidlInconclusiontothis,itbecomesobviousthattheproblemofxxliesnotonlyin...lWehaveattemptedtointroducesomeconceptsassociatedwithatheoryofxxbasedonfuzzysets.lConsiderablemorework,hopefully,willbedoneinthisarealAfuzzysetprocedureisproposedtosolvexxselectionproblemsinterwovenwithimprecisedatalEmployingthecompositionalruleofinference,theassessmentofthexxcompatibilityinachievingprescribedxxprojectilesinanylevelofthehierarchyismadepossible.lThispaperhaspresentedatheoreticalandexperimentalstudyofthexxprocessandxxconcept.lTheexperimentalresearchresultswillhopefullyserveasusefulfeedbackinformationforimprovementsforxxwork.lThescopeofthiscontributionwastointroduceaxxmethod.lIngeneral,fuzzysetstheoryprovidesanalternativefoundationforxxanalysisinafuzzyenvironment.FutureResearchlThus,firstextensionoftheapproachcouldbe,lPresentsomecuesforafurtherapproachfromFuzzySetsTheoryapplicationtolSomeimprovementstotheschedulingaspectofthemodelmaybebroughtthroughadditionallevelsinthehierarchyformoredetailedrepresentationoftheschedulingactivity.brsandFigureslFigure7-1sketchestheserelationships.lThegraphicalrepresentationofthesefunctionsisshowninFigure1.lThexxmaybedepictedasinFigure1.lFigurexshowstheschematicdiagramofthelFigure1though2providea...thatlthearchitectureofthisexpertsystemfor....isillustratedinFigure2.lFigure2givestheoutlineofan...systemlbrshowsthelasshowninbr1and2lThisconceptisillustratedinFigure2lAtthetopofbrxxareshowntwoblocksofdata.lEachbrormatrixhasconstructsxxthroughxxasrow‑headings,xxthroughxxascolumn‑headings.lAbrof..isdevelopedandsignificantrecommendationsaremade.CONJUGATIONToIndicateAdditionladditionally,again,also,andthen,ascanbeeasilyunderstood,besides,equallyimportant,especially,finally,forthesamereason,first,further,furthermore,inaddition,last,likewise,moreover,next,second,third,too,evidently,obviously,roughlyspeaking,broadlyspeakingToIndicateCauseandEffectlaccordingly,asaresult,consequently,forthisreason,hence,inshort,otherwise,then,therefore,thus,trulyToindicateComparisonlinalikemanner,likewise,similarly,alternativelyToIndicateConcessionlafterall,althoughthismaybetrue,atthesametime,eventhough,evenso,Iadmit,naturally,ofcourseToIndicateContrastlandyet,atthesametime,but,forallthat,however,yet,infact,incontrast,inthereallife,inspiteof,nevertheless,notwithstanding,normally,onthecontrary,ontheotherhand,still,traditionally,rather,unfortunately,ToIndicateTimeRelationshipslafterashorttime,afterwards,asindicatedearlier,aslongas,assoonas,atlast,atlength,atthemoment,atthattime,atthesametime,before,earlier,currently,immediately,inthemeantime,inrecentyears,lately,later,meanwhile,often,oflate,presently,recently,soon,shortly,since,thereupon,temporarily,therefore,until,when,whileToIndicateSpecialFeaturesorExampleslforexample,forinstance,incidentally,indeed,infact,inotherwords,inparticular,inpractice,specifically,thatis,toillustrate,inthisrespect,theoretically,asmentionedbefore/aboveToIndicateSummarylinbrief,inconclusion,inshort,insummary,onthewhole,toconclude,ingeneral,tosummarize,tosumup,asaresult,ultimately,VERBPHASElbuilda..modellbuildupthekeylinklbegananewerain...lcanberegardedas/achieved/usedto/for/found/obtainedthroughlcanresultinlcarriesout...taskslproductioninformationinordertosimultaneouslylcontainsallinformationnecessarytodescribeldonotmakeuseofproductioninformationldealswithlendwithfailurelfetchtheinformationfromthemodeldirectlylhasgreatpotential/yettoberesolved/spurredthedevelopmentof/beenrecognizedaslBEaimedat/builtup/carriedoutby/essentiallyconcernedwith/consideredtobethekeytechnology/associatedwitheachfeatureofacompositecomponent/cableof/currentlyimplementedfor/demonstratedbyanexample/finallyreached/madeequalto/equivalentto/moresuibrto/orientedto/interpretedas/pointedout/potentiallyofgreatbenefitinthecomplextaskof/shownin/usedtoeffectivelyguidethesearchlmakesuseoflmakeuplmeetstheneedsofreallifeproduction,/thecurrentdemandsplaceduponitlmustbejustifiedlpointoutlplayanimportantrolelrelatestolrelyonlsatisfytheneedsldeterminethetotalrequirementsforthe...luses...asakeytosearchfor...lwithoutrelyingonlwillbeavailable/performed/overlookedNOUNPHASElabasictechnicalfunctionoflacriticalneedlakey/principlefeatureoflasubstantialimpactonlanintensivereviewwasconductedlanincreasingneedforexpandingtheapplicationof....lanimportantcomponent/function/aspect/issueleachruleisnumberedinsequenceleachoftheseinvolveslforthiscalculation,itisnecessarytodefinelinthephysicalenvironment/integrationoflintherealityofsituationswhere…lmanyaspectsoflmostpasteffortshavebeenspenton...lcommonsensetoawellstudiedanddocumentedtechnicalfield.lsourcesofadditionalinformationon...arelistedlsystematicandrationallystructuredformatlthebasisonwhicharangeof...operationscanbeestablishedisshownlTHEbasicphilosophy/principlesof/keyelement/generalhypothesis/candidatelistof/conceptof...hasattractedwideinterest/functionisconcernedwith/heart/impact/nature/role/taskof/kernelfunctionslthenumberofpartsneededtoltheabovestatementmeansthatltheoutputdataispassedtoltheproposedmethod/underlyingprincipleltherecommendationsmadeinthisreport,ifimplemented,shouldlthisinformationresidesinlthisprocessiscomposedof...different...operationlalongwiththeuseoflconcerninggeneralaspectsoflduetolforlateruseingenerating...,linturn,lITISbelieved/noted/assumed/suggested/shown/quiteevident/appears/impliesthat/intendedfor/ofnoimportanttolitcanbeclaimed/concludedthatlitdemonstratesthedecisionsrequiredoflitalsoprovidesinformationto..litbecomesessentialtollet...betheprobabilitythatlonce...iswritten,itiscompiledinto...lsupposeitisobserve