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Manyexpertshavefoundthatfuzzycontrolrulesprovideaconvenientwaytoexpresstheirdomainknowledge.
ThisexplainswhymostFLCsarebasedontheknowledgeandexperiencewhichareexpressedinthelanguageoffuzzy"
ifthe"
rule.
Chapter4.Examples
Example/Data
Thedatausedinthefollowingexamplewastakenfromanexperimentinwhichxxwasmeasuredbetweenxandxusingaxxtechnique.
Thedataconsistsofoverxxmeasurements.
Anexampleofxxisdiscussedandthecontrolrulesofxxarecomparedwithaxx
Examplesofcomplexprocessestowhichthistechniquemaybeappliedarexx,xx,etc.
Thefollowingexampleisconstructedonlyforthepurposeofillustratingthecomputationalprocedurediscussed.
Thisexampleclearlydemonstratesthattheprofileofanindividualxx,oraverysmallgroupofxx,withnoenoughdatatobestudiedstatistically,canbemeaningfullyanalyzedbyfuzzypossibilisticmethods.
Thereisnospaceheretogointodetailonallthesemethods,butdeserveamentionandthebibliographywillpointtodetailedreferencesforthosewishingthislevelofdetail.
Notethatthegolfballspottingexampleisusedthroughoutthepaper.
Comparisons
Aswell,theprosandconsoftheserepresentationsfromaprocessplanningpointofviewwillbediscussed.
ThemethodofusingxxtoimplementxxdescribedbyZadeh(1973)appearedmoresuitable
Asdiscussed[intheprevioussection]/[preciously],
Relation
WecannotinvertF'
directlybecauseitdefinesamany-to-onemapping.
Therelationshipsappearverycomplicate
Liftingtasksinvolvecomplexandimpreciserelationshipbetweenthetaskvariablesandthehumanoperator'
scharacteristics.
Thesemethodsarebasedontherelationshipbetween...and...
Thefundamentalconceptofafuzzyratinglanguageisthatwecanestablisharelationshipamongtermssuchashigh,medium,andlow,andthenmodifytheserelationships.
Thisarticlewillthusmentionthelatteraswellastheformer.
TheformertwobearacloserelationtoafuzzyCartesianproduct.
Importance
Theemphasisisonanimplementationofageneralapproachtorulebaseddecisionmaking.
Consideration/Attention
Carefulevaluationisnecessarytoensure
Suchaformulationdoesnotchangefurtherconsiderations.
Considerableattentionhasbeenpaidto
Attentionshouldbepaidtoanimportantfindingofthisinvestigation.
Cautionshouldbeexercisedinthisprocesstoavoid...
Primaryconsiderationisgivento...components,thoughotherscanbeaccommodated
After...hasbeendefinedby...,acarefullyanalysisiscarriedout/performedtodetermine
Anumberoffactorssuchas...needtobetakenintoconsiderationbeforemakingtheappropriatedecision.
Itshouldbenotedthat
Itisimportanttopointoutthat...
Theseconsiderationshaveheightenedinterestinthepossibilityofproviding...
Weshouldstressthefundamentalimportanceofthexx
Chapter5.Results.
Advantages/Disadvantage
Oneofthemajoradvantagesofthisnewmeasureofxxisthatitcanbeappliedtotheexperimentalstudyof
Oneadvantageofusinga..istheeaseofpreparingit.
Thexxsystemisversatile
Ithasaveryfastdecisionmakingprocess
Allthealgorithmsinvolvemostlylogicaloperations.
Itcanbeeasilyandwithoutadditionalcostimplementedinamicroprocessorbasedenvironment.
Itcanreducethewasteofdesigningfromscratch.
Theadvantagesofusingaxxtorepresentxxarethefollowing:
However,xxisnotwithoutitsshortcomings.
Inmostcases,thexxxshowsanimprovementovertheexistingxxx.
Comparedtotheexistingxx,theimpactsofthexxaregenerallyreducedby5%to9%.
The"
bestcase"
resultsshowsasavingsof6%to9%.
Mostoftheexistingworksbasedonxxapproachcanonlyrecognizeaxx.
Mostoftheabovemethodsarecomputationalexpansiveandlimitedtoxx.
Someotheradvantagesofxxarethefollowing:
Theproblemisthelimitationofthismethodtoalimiteddomainofparts.
Itprovedlimitedinapplicationbecauseitdemandedprecisioninsystemmodelingthatwasimpossibleinpractice.
Thereareadvantagestobegainedinthestructuringofcostsandbenefits,theuseofxx,
Thedisadvantagesofthismethodarealsodisadvantagesofconventionalxxapproaches.
Thiscombinesthebestfeaturesofbothtechniques
Hopefully,thistoolcanbeasthereferenceframeworkoffordevelopingaxxplatform,andhelpingtheadministration,marketing,andknowledgemanagementactivitiesinvirtualcommunities.
Results
Animprovementontheresultshownabovecanbemadebybasedonthedataprovided
Discussionofthesetheoriesisbeyondthescopeofthisreview
Basedontheinformationcontainedinthis
Theresultcanbecategorizedintonineclasses
Theresultsareillustratedbyanexample
TheexperimentalresultsforeachxxtimearereportedinTable2.
Fromtheresultsobtainedsofar,itseemthat
Becauseoftheinaccuracyofthe...,aconclusioncannotbedrawnas
Althoughmuchefforthasbeenmadeto.,thisrealityisfarfromcompletion.
Theresultsindicatethatthetotalbenefitsarehigherthanthetotalcosts.
Theirresultsmaythenserveasguidelinesforlowerlevelmodels,lessfuzzyandmoredetailed.
Chapter6.Conclusion
Fromthediscussion,onemayconcludethat...
Formtheabovediscussion,theconclusioncanbereachedthat
Theconclusionsdrawnarealsovalid
Inconclusiontothis,itbecomesobviousthattheproblemofxxliesnotonlyin...
Wehaveattemptedtointroducesomeconceptsassociatedwithatheoryof
xxbasedonfuzzysets.
Considerablemorework,hopefully,willbedoneinthisarea
Afuzzysetprocedureisproposedtosolvexxselectionproblemsinterwovenwithimprecisedata
Employingthecompositionalruleofinference,theassessmentofthexxcompatibilityinachievingprescribedxxprojectilesinanylevelofthehierarchyismadepossible.
Thispaperhaspresentedatheoreticalandexperimentalstudyofthexxprocessandxxconcept.
Theexperimentalresearchresultswillhopefullyserveasusefulfeedbackinformationforimprovementsforxxwork.
Thescopeofthiscontributionwastointroduceaxxmethod.
Ingeneral,fuzzysetstheoryprovidesanalternativefoundationforxxanalysisinafuzzyenvironment.
FutureResearch
Thus,firstextensionoftheapproachcouldbe,
PresentsomecuesforafurtherapproachfromFuzzySetsTheoryapplicationto
Someimprovementstotheschedulingaspectofthemodelmaybebroughtthroughadditionallevelsinthehierarchyformoredetailedrepresentationoftheschedulingactivity.
TablesandFigures
Figure7-1sketchestheserelationships.
ThegraphicalrepresentationofthesefunctionsisshowninFigure1.
ThexxmaybedepictedasinFigure1.
Figurexshowstheschematicdiagramof
the
Figure1though2providea...that
thearchitectureofthisexpertsystemfor....isillustratedinFigure2.
Figure2givestheoutlineofan...system
Tableshowsthe
asshowninTable1and2
ThisconceptisillustratedinFigure2
AtthetopofTablexxareshowntwoblocksofdata.
Eachtableormatrixhasconstructsxxthroughxxasrowheadings,
xxthroughxxascolumnheadings.
Atableof..isdevelopedandsignificantrecommendationsaremade.
CONJUGATION
ToIndicateAddition
additionally,again,also,andthen,ascanbeeasilyunderstood,besides,equallyimportant,especially,finally,forthesamereason,first,further,furthermore,inaddition,last,likewise,moreover,next,second,third,too,evidently,obviously,roughlyspeaking,broadlyspeaking
ToIndicateCauseandEffect
accordingly,asaresult,consequently,forthisreason,hence,inshort,otherwise,then,therefore,thus,truly
ToindicateComparison
inalikemanner,likewise,similarly,alternatively
ToIndicateConcession
afterall,althoughthismaybetrue,atthesametime,eventhough,evenso,Iadmit,naturally,ofcourse
ToIndicateContrast
andyet,atthesametime,but,forallthat,however,yet,infact,incontrast,inthereallife,inspiteof,nevertheless,notwithstanding,normally,onthecontra