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1、hisr,wefocusontheneed2.Thisrproceedsas3.Thestructureoftherisashishisr,wefocusontheneed2.Thisrproceedsas3.Thestructureoftherisashisr,weroducefuzzysetsandrelated5.Tobeginwithwewillprovideabriefbackground on1. This will be followed by a description of the fuzzy nature of the and a detailed ion of how t

2、he required membership functions 2.Detailsonxxandxxarediscussedinlaterhe next section, after a ement of the basic problem, situations sibility knowledge are , an sibility is ed; then the cases of a fuzzy service time stochastic arrivals and non fuzzy service rule is studied; lastly, fuzzy ruleare1.T

3、hisreviewisfollowedby2. A brief summary of some of the relevant concepts presentedinSectionhenextsection,abriefreviewof1.Thisreviewisfollowedby2. A brief summary of some of the relevant concepts presentedinSectionhenextsection,abriefreviewofthe.ishenextsection,ashortreviewof.isgivenwithlregardto5.Se

4、ction2reviewsrelevantresearchrelatedto6. Section 1.1 briefly surveys the motivation for a methodology of while 1.2 looks at the ed by the complexity of systems outlinestheneedfordevelopmentsibility1.Section1definesthenotionofrobustness,andarguesforits2.Section1devotedtothebasicaspectsoftheFLCmaking3

5、.Section2givesthebackgroundoftheproblemwhich4. Section 2 discusses some problems nd approaches language5.Section 2explainshowflexibilitywhich often. can beoffuzzytime6.Section3discussestheaspectsoffuzzysettarehe.alsodiscusseshowtoevaluatesystem8.Section3describesanewmeasureof9.Section3demonstratesth

6、euseofsibility10.Section3isafinedescriptionoffuzzyformulationofhuman.11.Section3,isdevelopedtotheingandsingoffuzzy12. The main idea10.Section3isafinedescriptionoffuzzyformulationofhuman.11.Section3,isdevelopedtotheingandsingoffuzzy12. The main idea of the FLC is described in Section 3 while Section

7、describesthexx13. Section 3 and 4 show experimental studies for verifying the m.14.Section4discussesapreviousfuzzysetbasedapproachtocost15.Section4givesaspecificle.16. Section 4 is the experimental study to make a fuzzy of 17.Section4containsaoftheimplicationoftheresultsof2and 18.Section4sthisfuzzym

8、easuretoysisofxxandillustrateuseonexperimental19.Section5presentstheprimaryresultsofther:afuzzyset20.Section5containssplussomeideasforfurther21.Section6illustratesthenverybrieflyinSection24. In Section 2 we shall list a collection of basic mptions which a schememust25. In Section 2 of this resent io

9、n and theoremsfor24. In Section 2 we shall list a collection of basic mptions which a schememust25. In Section 2 of this resent ion and theoremsforthefundamentalmeasurementoffuzzinesswhenofdiscourseisorder26.InSection3,wedescribethepreliminaryresultsofanempiricalcurrently in progress to verify the m

10、easurement and to 27. In Section 5 yzed the inference s through the two kinds inferenceThishis section, the characteristics and environment under RP designedare2.WewillhissectionbasicterminologiesandionswhichsaryfortheunderstandingofsubsequentNext2. The next section describes the t o the ionofsuchfu

11、zzylogic3. However, it is cumbersome for this e and in practical theformulaewererearrangedandsimplifiedas4. The three components will be he next two section, and le of ysis of a computer information system will then their5. We ret the results of Experiments I and II he 6. The next section summarizes

12、 thele of ysis of a computer information system will then their5. We ret the results of Experiments I and II he 6. The next section summarizes the method in a t is useful argumentsbasedon1.Thisrconcludesoffutureresearchconsideration2.Section5summarizestheresultsofthis3.Section5givessandfuturedirecti

13、onsof4.Section7providesandaofsomesof p5.sandfutureworkare6. The basic ed abovearethen discussed s 7.Section7isoftheChapter1.Abasichedesignofxxispresented bythechoiceofaxxforthemeasurementofexperimentalesthedifficultiesfoundinotherxx3.Thisrdescribesasystemforysisofthe4.Themethodinvolvestheconstructio

14、nofxxfromfuzzy5.esthedifficultiesfoundinotherxx3.Thisrdescribesasystemforysisofthe4.Themethodinvolvestheconstructionofxxfromfuzzy5.Theprocedureisusefulyzinghowgroupsreacha.6. The technique used is to employ a newly developed and 7.Theusefulnessofxxisalso8.Abriefmethodologyusedinxxis9.ysisisusefulinx

15、xandxx10.Aisdevelopedforaysisusingfuzzy.11.Algorithmstocombine these estimates and producea xx areandTheuseofthemethodisdiscussedand anResultsofan experimentalapplications of thisleisysisproceduregiventoillustratetheed14.Thisrysesproblems15.ThisroutlinesthefunctionscarriedoutbyThisThisrincludesanill

16、ustrationoftherprovidesanoverviewandinformationusefulfor18. Emphasis is placed on the construction of a criterion function by thexxinachievingahierarchicalsystemofobjectivesare19.Themainemphasisisplacedontheproblemof20.Ouredisverifiedthroughexperimental21. The experimental results eresting les of fu

17、zzy phases xx,22. The compatibility of a representedbylinguisticerms 21. The experimental results eresting les of fuzzy phases xx,22. The compatibility of a representedbylinguisticerms of cost, and xx are 23.AdidacticleisincludedtoillustratetheionalChapter1.Overthecourseofthepast30years,.hasemerged2

18、.Technologicalrevolutionshaverecentlyhittheindustrial3.Theadventof.systemsforhashadasignificantimpactonThedevelopmentof.isDuringthepastdecade,thetheoryoffuzzysetshasdevelopedinaof6.Theconceptofxxwasinvestigatedensivelyinrecent7. Therehas been a turning in.methodologyinaccordancewith adventof8.Amajor

19、concernin.todayistocontinueto9.Axxishepartion10.Atthetimeofthiswriting,thereisstillnostandardwayof11. Although a lot of effort is being spent on improving these theefficientandeffectivemethodhasyettobe12.oneerworkcanbetracedtoxx13. To date, none of the methods developed is perfect and all are far re

20、adytobeused12.oneerworkcanbetracedtoxx13. To date, none of the methods developed is perfect and all are far readytobeusedinlObjective/Goal/e1.Theeoftheinferenceenginecanbeoutlinedas2.Theultimategoalofthexxsystemistoallowthenonexpertstoutilizeexistinghearea of manual handling of loads, and toelligent

21、,computeraidedinstruction.3.Therconcernsthedevelopmentofa4.Thescopeofthiss5. The heme of the r is the application of ased 6.Theseobjectivesaretobemetwithsuchthoroughnessandconfidencetopermit7.Theobjectivesofthe.operationsstudyareas8.Theprimary9.Theultimategoalofthisconceptisto10.Themainobjectiveofsu

22、cha.systemis11.Theaimofthisristoprovidemethodstoconstructsuch12. In order to achieve these objectives, an xx must meet the Inordertotakeadvantageoftheirmoreresearchis12. In order to achieve these objectives, an xx must meet the Inordertotakeadvantageoftheirmoreresearchisstillrequiredbeforefinalgoalo

23、f.canbehistrial,theobjectiveisto16.forthesakeofconcentratingon.research17. A oal of this report is to extend the utilization of a developedprocedureforthe18. For an illustrative e, four well known OR problems are studied presenceoffuzzydata:19. A major thrust of the r is to discuss approaches and st

24、rategies 20.Thisillustrationsouttheneedto21.Theultimategoalisbothdescriptiveand22.Chapter2.LiteratureAwealth of information is to be he istics literature, le,regardingconsiderable amount of research has been done . during the A25. A great number of studies report on the treatment of tedwith26.Therei

25、sconsiderableamountofliteratureon27. However, these studiesdonot providemuch attention toy 28. Sincethen, thesbeen extensivelyexploredand itisinvestigationasethodological27. However, these studiesdonot providemuch attention toy 28. Sincethen, thesbeen extensivelyexploredand itisinvestigationasethodo

26、logicalaspectsasinconcrete29.Manyresearchstudieshavebeencarriedoutonthis31.Attemptstoresolvethisdilemmahavehedevelopment32. Many complex ses y, do not yield to this procedureandhave,therefore,notyetbeen33. Most of the methods developed so far are deterministic and probabilisticin34.Thecentraleinallt

27、hesestudiesisstudieshavebeenbaseduponclassicalistical36.d.techniques37.Characterizedthe.system38.gorithmDevelopedasystemcalled.Usesaniterativealgorithmto41.Emphasizedtheneed42.Identifiessixkeyerroundinghigh43.Acomprehensivestudyofthe.hasbeen44.MuchworkhasbeenreportedheseeIndicated/Hasshown/46.tthepr

28、oblemAstudyon.wasdone/developedbyPreviouswork,suchasand,dealonlyeIndicated/Hasshown/46.ttheproblemAstudyon.wasdone/developedbyPreviouswork,suchasand,dealonly49.Theapproachtakenby50.Thesystemdevelopedby51.A52.srrelevanttothisresearchwaspublishedby 53.drawsattentiontoevolutioninhuman54.sfocuses55.Litt

29、leresearchhasbeenconductedinapplying.ThepublishedThisstudyfurthertisrelevanttothist58.Theirworkisbasedontheprinciple59.Morehistoryof.canbefoundinxxetal.60.StudieshavebeencompletedtoThe.studiesThoughapplicationofthefiledofxxhasproliferatedinrecenteffortyzingxx,llyxx,isProblem/e/63. y, real-world engi

30、neering ch as planningdonotfitwellwiththisnarrowlydefined.Theytend toctivitiesandrequireconsiderationofmultiple64.Remedy/solve/alleviatethese67.isadifficultproblem,yetctivitiesandrequireconsiderationofmultiple64.Remedy/solve/alleviatethese67.isadifficultproblem,yettobeyTwomajorproblemshaveyettobeAnu

31、nanswered70.Thisprobleminessenceinvolvesusingxtoobtaina71.Anadditionalresearchetobetackled isSomeimportantThethreeprimeesina.systemareescanbe74.Thesituationleadstotheproblemofhowtodeterminethe75.Therehavebeenmanyattempts76.Itisexpectedtobeseriousbarrier77.Itoffersasimplesolutioninafora1.Thereareseve

32、ralwaystogetaroundthisAsdifficultasitseemstobe,xxisbynomeansTheproblemistorecognizexxfromadesign4.Axxproblemcantraceitsrootsto5. xx 1987 used a heuristic approach to simplify the of 6.Severalproblemsaretedwith7. Although some progress has been his east two MostproblemsinpracticeareMoreproblemsurface

33、10.7. Although some progress has been his east two MostproblemsinpracticeareMoreproblemsurface10.erefforttowardaxx11.Inorderetheionsduepleteandimpreciseknowledge, a xx program has been developed, which bases its upontheysisofalepopulationofto13. This type of raises no controversy to the e of functio

34、n14. However, attempts empiricalfy the xx have met both theoretical 15. se t in order to apply this new frameworktorealworldproblemsanddata,wehavetopayattention toproblemsofxxandChapter3.edAhe case when the mption of a xx seems to be too restrictive inadequate,theformulationwithFuzzyterminationtime,

35、i.e.givenbyahespaceofcontrolstages,maybegoal to be the same for all the control es, xx, which stems goal to be the same for all the control es, xx, which stems 3. An approach to the solution of this problem is presented at the ling rate can be made prior isinare precise odds at 4. Another mption mad

36、e above t theexpertis5.Mainsimplifyingmptions6.This,inourview,isaquestionableOutline/Structure/1.Anoutlineofthe2.Informationisincorporatedhe3. Iso. 4.Anicemodular5.Theprinciplesof.aredasmodularized 1.Axxsystemcomprisesthreemain2.etheoriginaloasetof3.Consistsofthefollowing4. Thishefollowing5. Canbebr

37、oadlyothefollowinglllCanbecharacterizedbyitsfunctionofeffectivelysingClowfurtherbreadthof4. Thishefollowing5. CanbebroadlyothefollowinglllCanbecharacterizedbyitsfunctionofeffectivelysingClowfurtherbreadthofapplicationofoThefollowingstepsshouldbelxxcanbeclassifiedbyadifferentlBasedonthexx,onemayclass

38、ifyothelThiscatalogmaychangeduetowear,breakage,andlike many conventional program, expert systems do not withproblemforwhichthereisclearlyarightorwrongllThesystemconsistsofboth.andThe system has a hierarchical modular anized on lexpertsareareaoflTodevelopaxxsystemforxx,thefollowingfactorsmustbellThes

39、ystemhasbeendeveloped/designedtoThesystemhasproventobeablelinwhichanexpertsystemoperatesisalThesystemcomprisesa.lThesystemisfeature-oriented/basedonthe.lThesystemenvironmentmustberelativelylThesystemisutilizedtogenerate,load,store,updateandretrievelThedevelopmentofaxxsystemhastwostages:xxstageandxxl

40、lThemostessentialpartof.systemlThesystemisutilizedtogenerate,load,store,updateandretrievelThedevelopmentofaxxsystemhastwostages:xxstageandxxllThemostessentialpartof.systemistheThesfuldevelopmentsinESshavemadethemanimportanttoollAnautomatedsystemwasdevelopedllhiscase,thesystemcanbeconsideredtobeeract

41、iveautomatic.lA.iscommonlythoughtofasaegrated.lShouldbecapableofbeinggeneratedfroma.llxxisanimportantpartofegratedases,eachofwhichaddressesaTheconsistsoffourhehierarchyofscheduling.lTheasesare linked toeach other in a chin likehe ttheconsequentofoneaseconstitutesapartoftheantecedentthenextase consis

42、ts of lThe sible combinations of the linguistic tedwiththelinguisticvariableoftheantecedentofalThesystem has been implemented using Prolog languagein an MSenvironment.Prolog waschosen becauseitoffersa wellknown andenvironmentinwhichfuzzyreasoningmaybeeasilylThe current of the xx program when compile

43、d with sinanexecutablecodeofabout270Kbytes.Typicalruntime,whenrunonXXcomputer(anenvironment.Prolog waschosen becauseitoffersa wellknown andenvironmentinwhichfuzzyreasoningmaybeeasilylThe current of the xx program when compiled with sinanexecutablecodeofabout270Kbytes.Typicalruntime,whenrunonXXcomput

44、er(anIBMcompatiblemachine)operatingat4.77MhzwithRAM,rangesfrom10o2h,dependingonthesize(orcomplexity)oflTime consuming procedures have been implemented in C language directlylinkedtothePrologly180lItshouldbettheionwasi20Hhz,puterequipped80387mathcolThe rograms used for yses, one based on the methodan

45、d theotherbasedonthenewmethod,werewrittenintsupportsthemathcollernal ionisthewayaishel-drivenprocedureishislScanbedevelopverythecostoftimefairlyseverelWhile there is no measurable saving of time for the case involving criteria, the saving is dramatic for the case involving 10 criteria - iontimefrom1

46、0hr40oabout1l.encounteredins/Formulaiontimefrom10hr40oabout1l.encounteredins/Formula/llAispresentedofaproblem-solvingToimprove the efficiency of the method, thefollowing aylInordertoaninvestigationwasmadetofindthecausesoflAlthough large collections of rules and equations have been nonearegenerallylT

47、his approach will be explained and discussed he body thelThiscanplishedlThisalgorithmtocomputethetotalcostcanbedescribedstepbysteplTheaboveysishasprovidedimportantlVariousmethodshavebeenedforselectinganlTheseconceptshavebeendlOnthebasisoftheconceptmentionedlThiscanbeachievedlThisfacttanewlThisplishe

48、dbytakinglllThepreparatorystageisverytimeconsumingTestareperformedforvalidity,completeness,andThereislittlehopeofachievingsfullTherehasbeenanincreasinglThisfacttanewlThisplishedbytakinglllThepreparatorystageisverytimeconsumingTestareperformedforvalidity,completeness,andThereislittlehopeofachievingsf

49、ullTherehasbeenanincreasingawarenessofthepotentialofusingmostfarmadehavenottakenthisapproach,withtheexceptionllOnlyafewstudiescanbeItisa verytediousstogolItisonlywhen.hasbeent.maybelTheionsisconductedinoneslTheseapproachesaresometimesveryllSeveraltechniquescanbeApolynomialparametriccanbewrittenasthe

50、lAxxisconstructed/formulatedusinglAxx representsanxxbyitslAsmcapturesthesentialllFromtheequationabove,xxisequaltothesummationofxxtimestheThevalidityofaxxcanbecheckedusingEulerslGivena,onecanmathematicallydeterminewhether.orlEquationsforxxneedtobederivedandhelAnumberofheuristicruleshavebeendevelopedl

51、Optimum.techniquescanbemademorey. tlgorithmbasedonthecharacteristic.isusedtolEulersformulaesthellThecompletedFormanufacturingshouldagreewiththees,adetailedandpreciseoftheobjectlgorithmbasedonthecharacteristic.isusedtolEulersformulaesthellThecompletedFormanufacturingshouldagreewiththees,adetailedandp

52、reciseoftheobjectEngineeringdesignsareverywelldefined;tobeoflfromanion,lFromtheofviewofthislforlInformation is the ion and correlation of aggregationofdatainordertoallowonetomakelionalaspectsofanFLCasimplificationofthefuzzycontrollThe use of a hammer to insert screws, although partly effective, tend

53、s distort,destroy,andgenerallydefeattheeofusingascrewKusiakImplicationsforCIMlWechoosethesocalledxxinourexperimentbecausesreceivedacceptanceandlPrologwaschosenbecauseitoffersawellknownandflexibleinwhichfuzzylWechoosethesocalledxxinourexperimentbecausesreceivedacceptanceandlPrologwaschosenbecauseitof

54、fersawellknownandflexibleinwhichfuzzyreasoningmaybeeasilylTheehind thistitcan bemuch easier for an estimator rateacostasntoattempttoplaceadollarvalueonthelThisstrategyhasbeen widelyused infuzzycontrol applications sinceit naturalandeasytolAfunction definition expressesthemembershipfunction ofa fuzzy

55、setlItshould be t in our daily lifemost of the information on our sarebased is linguisticnnumerical innature. Seen, fuzzy control rules provide a natural framework for characterizationofhumanbehaviorandsltoexpress knowledge. This explains why most FLCsare on the knowledge and experience which are he

56、 language fuzzyiftheChapter4.le/lThedata hefollowing lewas taken froman experiment whichxxwasmeasurednxandxusing axxlTheonsistsofoverxxlle of xx is discussed and the control rules of xx are lle/lThedata hefollowing lewas taken froman experiment whichxxwasmeasurednxandxusing axxlTheonsistsofoverxxlle

57、 of xx is discussed and the control rules of xx are llesofcomplexdxx,xx,lThe following le is constructed only for the e of theionalprocedurelThisleclearlyttheprofileofanindividualxx,orverysmallgroupofxx,withnoenoughobestudiedyzedbysibilisticThereisnospaceheretoodetailonallthesemethods,buta mention a

58、nd the will to detailed for wishingthislevelofltthegolfballspottingleisusedthroughoutthelsofviewwillbelThe method of using xx to implement xx described by Zadeh appearedmorelAsdiscussedhepreviousasable1andlThisconceptisillustratedappearedmorelAsdiscussedhepreviousasable1andlThisconceptisillustratedi

59、nFigurelAtthetopofTablexxareshowntwoblocksoflEachtableormatrixhasconstructsxxthroughxxasrowxxthroughxxascolumnlAtableof.isdevelopedandmendationsareToIndicateladditionally, again, also, and then, as can be easily understood, equally important, lly, finally, for the same , furthermore, in addition, la

60、st, likewise, moreover, next, second, third, evidently,obviously,roughlyspeaking,broadlyToIndicateCauseandlaccordingly, as a result, consequently, for this reason, hence, in otherwise,then,therefore,thus,Toindicatelinalikemanner,likewise,similarly,ToIndicatelafter all, although this may be true, at

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