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usefulexpressionsforpaperwriting
2.Thispaperproceedsasfollow.
3.Thestructureofthepaperisasfollows.
4.Inthispaper,weshallfirstbrieflyintroducefuzzysetsandrelatedconcepts
5.Tobeginwithwewillprovideabriefbackgroundonthe
Introduction
1.Thiswillbefollowedbyadescriptionofthefuzzynatureoftheproblemandadetailedpresentationofhowtherequiredmembershipfunctionsaredefined.
2.Detailsonxxandxxarediscussedinlatersections.
3.Inthenextsection,afterastatementofthebasicproblem,varioussituationsinvolvingpossibilityknowledgeareinvestigated:
first,anentirelypossibilitymodelisproposed;thenthecasesofafuzzyservicetimewithstochasticarrivalsandnonfuzzyserviceruleisstudied;lastly,fuzzyserviceruleareconsidered.
Review
1.Thisreviewisfollowedbyanintroduction.
2.AbriefsummaryofsomeoftherelevantconceptsinxxxandxxxispresentedinSection2.
3.Inthenextsection,abriefreviewofthe....isgiven.
4.Inthenextsection,ashortreviewof...isgivenwithspecialregardto...
5.Section2reviewsrelevantresearchrelatedtoxx.
6.Section1.1brieflysurveysthemotivationforamethodologyofaction,while1.2looksatthedifficultiesposedbythecomplexityofsystemsandoutlinestheneedfordevelopmentofpossibilitymethods.
Body
1.Section1definesthenotionofrobustness,andarguesforitsimportance.
2.Section1devotedtothebasicaspectsoftheFLCdecisionmakinglogic.
3.Section2givesthebackgroundoftheproblemwhichincludesxxx
4.Section2discussessomeproblemswithandapproachesto,naturallanguageunderstanding.
5.Section2explainshowflexibilitywhichoften...canbeexpressedintermsoffuzzytimewindow
6.Section3discussestheaspectsoffuzzysettheorythatareusedinthe...
7.Section3describesthesystemitselfinageneralway,includingthe…..andalsodiscusseshowtoevaluatesystemperformance.
8.Section3describesanewmeasureofxx.
9.Section3demonstratestheuseoffuzzypossibilitytheoryintheanalysisofxx
10.Section3isafinedescriptionoffuzzyformulationofhumandecision.
11.Section3,isdevelopedtothemodelingandprocessingoffuzzydecisionrules
12.ThemainideaoftheFLCisdescribedinSection3whileSection4describesthexxstrategies.
13.Section3and4showexperimentalstudiesforverifyingtheproposedmodel.
14.Section4discussesapreviousfuzzysetbasedapproachtocostvarianceinvestigation.
15.Section4givesaspecificexampleofxxx.
16.Section4istheexperimentalstudytomakeafuzzymodelofmemoryprocess.
17.Section4containsadiscussionoftheimplicationoftheresultsofSection2and3.
18.Section4appliesthisfuzzymeasuretotheanalysisofxxandillustrateitsuseonexperimentaldata.
19.Section5presentstheprimaryresultsofthepaper:
afuzzysetmodel..
20.Section5containssomeconclusionsplussomeideasforfurtherwork.
21.Section6illustratesthemodelwithanexample.
22.VariouswaysofjustificationandthereasonsfortheirchoicearediscussedverybrieflyinSection2.
23.InSection2arepresentedtheblockdiagramexpressionofawholemodelofhumanDMsystem
24.InSection2weshalllistacollectionofbasicassumptionswhicha...schememustsatisfy.
25.InSection2ofthispaper,wepresentrepresentationanduniquenesstheoremsforthefundamentalmeasurementoffuzzinesswhenthedomainofdiscourseisorderdense.
26.InSection3,wedescribethepreliminaryresultsofanempiricalstudycurrentlyinprogresstoverifythemeasurementmodelandtoconstructmembershipfunctions.
27.InSection5isanalyzedtheinferenceprocessthroughthetwokindsofinferenceexperiments
ThisSection
1.Inthissection,thecharacteristicsandenvironmentunderwhichMRPisdesignedaredescribed.
2.Wewillprovideinthissectionbasicterminologiesandnotationswhicharenecessaryfortheunderstandingofsubsequentresults.NextSection
2.Thenextsectiondescribesthemathematicsthatgoesintothecomputerimplementationofsuchfuzzylogicstatements.
3.However,itiscumbersomeforthispurposeandinpracticalapplicationstheformulaewererearrangedandsimplifiedasdiscussedinthenextsection.
4.Thethreecomponentswillbedescribedinthenexttwosection,andanexampleofxxanalysisofacomputerinformationsystemwillthenillustratetheiruse.
5.WecaninterprettheresultsofExperimentsIandIIasinthefollowingsections.
6.Thenextsectionsummarizesthemethodinafromthatisusefulforargumentsbasedonx
Summary
1.Thispaperconcludeswithadiscussionoffutureresearchconsiderationinsection5.
2.Section5summarizestheresultsofthisinvestigation.
3.Section5givestheconclusionsandfuturedirectionsofresearch.
4.Section7providesasummaryandadiscussionofsomeextensionsofthepaper.
5.Finally,conclusionsandfutureworkaresummarized
6.Thebasicquestionsposedabovearethendiscussedandconclusionsaredrawn.
7.Section7istheconclusionofthepaper.
Chapter0.Abstract
1.Abasicprobleminthedesignofxxispresentedbythechoiceofaxxrateforthemeasurementofexperimentalvariables.
2.Thispaperexaminesanewmeasureofxxinxxbasedonfuzzymathematicswhichovercomesthedifficultiesfoundinotherxxmeasures.
3.Thispaperdescribesasystemfortheanalysisofthexx.
4.Themethodinvolvestheconstructionofxxfromfuzzyrelations.
5.Theprocedureisusefulinanalyzinghowgroupsreachadecision.
6.Thetechniqueusedistoemployanewlydevelopedandversatilexxalgorithm.
7.Theusefulnessofxxisalsoconsidered.
8.Abriefmethodologyusedinxxisdiscussed.
9.Theanalysisisusefulinxxandxxproblem.
10.Amodelisdevelopedforaxxanalysisusingfuzzymatrices.
11.Algorithmstocombinetheseestimatesandproduceaxxarepresentedandjustified.
12.Theuseofthemethodisdiscussedandanexampleisgiven.
13.Resultsofanexperimentalapplicationsofthisxxanalysisprocedurearegiventoillustratetheproposedtechnique.
14.Thispaperanalysesproblemsin
15.Thispaperoutlinesthefunctionscarriedoutby...
16.Thispaperincludesanillustrationofthe...
17.Thispaperprovidesanoverviewandinformationusefulforapproaching
18.Emphasisisplacedontheconstructionofacriterionfunctionbywhichthexxinachievingahierarchicalsystemofobjectivesareevaluated.
19.Themainemphasisisplacedontheproblemofxx
20.Ourproposedmodelisverifiedthroughexperimentalstudy.
21.Theexperimentalresultsrevealinterestingexamplesoffuzzyphasesof:
xx,xx
22.Thecompatibilityofaprojectintermsofcost,andxxarelikewiserepresentedbylinguisticvariables.
23.Adidacticexampleisincludedtoillustratethecomputationalprocedure
Chapter1.Introduction
Time
1.Overthecourseofthepast30years,..hasemergedformintuitive
2.Technologicalrevolutionshaverecentlyhittheindustrialworld
3.Theadventof...systemsforhashadasignificantimpactonthe
4.Thedevelopmentof...isexplored
5.Duringthepastdecade,thetheoryoffuzzysetshasdevelopedinavarietyofdirections
6.Theconceptofxxwasinvestigatedquiteintensivelyinrecentyears
7.Therehasbeenaturningpointin...methodologyinaccordancewiththeadventof...
8.Amajorconcernin...todayistocontinuetoimprove...
9.Axxisalatecomerinthepartrepresentationarena.
10.Atthetimeofthiswriting,thereisstillnostandardwayofxx
11.Althoughalotofeffortisbeingspentonimprovingtheseweaknesses,theefficientandeffectivemethodhasyettobedeveloped.
12.Thepioneerworkcanbetracedtoxx[1965].
13.Todate,noneofthemethodsdevelopedisperfectandallarefarfromreadytobeusedincommercialsystems.
Objective/Goal/Purpose
1.Thepurposeoftheinferenceenginecanbeoutlinedasfollows:
2.Theultimategoalofthexxsystemistoallowthenonexpertstoutilizetheexistingknowledgeintheareaofmanualhandlingofloads,andtoprovideintelligent,computeraidedinstructionforxxx.
3.Thepaperconcernsthedevelopmentofaxx
4.Thescopeofthisresearchliesin
5.Themainthemeofthepaperistheapplicationofrulebaseddecisionmaking.
6.Theseobjectivesaretobemetwithsuchthoroughnessandconfidenceastopermit...
7.Theobjectivesofthe...operationsstudyareasfollows:
8.Theprimarypurpose/consideration/objectiveof
9.Theultimategoalofthisconceptistoprovide
10.Themainobjectiveofsucha...systemisto
11.Theaimofthispaperistoprovidemethodstoconstructsuchprobabilitydistribution.
12.Inordertoachievetheseobjectives,anxxmustmeetthefollowingrequirements:
13.Inordertotakeadvantageoftheirsimilarity
14.moreresearchisstillrequiredbeforefinalgoalof...canbecompleted
15.Inthistrial,theobjectiveistogenerate...
16.forthesakeofconcentratingon...researchissues
17.Amajorgoalofthisreportistoextendtheutilizationofarecentlydevelopedprocedureforthexx.
18.Foranillustrativepurpose,fourwellknownORproblemsarestudiedinpresenceoffuzzydata:
xx.
19.Amajorthrustofthepaperistodiscussapproachesandstrategie