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1、OneIntroductionInthisintroductionwediscusstherationalebehindfuzzysystemmodeling,intro-ducetheideasofafuzzysetandalinguisticvariable,differentiatebetweenfuzzylogicandthemoregeneralareaofapproximatereasoning,brieflytracethehistoryoffuzzysettheory,andoutlinetheben
2、efitsofusingfuzzylogicininformationsystemmodeling.FuzzySystemModelsAlthoughfuzzylogichasbeendescribedandexaminedfornearly30years,ithasonlyrecentlyappearedinthepopularandtechnicalpress.Nearlyalltheattentioninfuzzylogichasbeenintheareaofprocessandcontrolengineeri
3、ng,broughtonbythebloomoffuzzylogicproductsdevelopedinJapan.Thisisunderstandablesincefuzzylogicprovidesavaluabletechnologyinthedesignofembeddedmachineintelligence.Withfuzzylogic,manufacturerscansignificantlyreducedevelopmenttime,modelhighlycomplexnonlin-earsyste
4、ms,deployadvancedsystemsusingcontrolengineersratherthancontrolscien-tists,andimplementcontrolsusinglessexpensivechipsandsensors.Yetcontrolsystemsexploitonlyasmallfractionoffuzzylogic’srepresentationalpower.LOGIC,COMPLEXITY,ANDCOMPREHENSIONTounderstandhowfuzzys
5、ystemsprovidesuperiorinformationmodeling,weneedtogobacktoitsorigins.AsconceivedbyLotfiZadeh,itsinventor,fuzzylogicprovidesamethodofreducingaswellasexplainingsystemcomplexity.Zadeh,originallyanengi-neerandsystemsscientist,wasconcernedwiththerapiddeclineininforma
6、tionaffordedbytraditionalmathematicalmodelsasthecomplexityofthetargetsystemincreased.Muchofthiscomplexity,herealized,camefromthewayinwhichthevariablesofthesys-temwererepresentedandmanipulated.Sincethesevariablescouldonlyrepresentthestate1TheFuzzySystemsHandboo
7、kbyEarlCoxChapter1Introduction2ofaphenomenonaseitherexistingornotexisting,themathematicsnecessarytoevaluateoperationsatvarious“boundary”statesbecomesincreasinglycomplex.Atsomepointthiscomplexityoverwhelmedtheinformationcontentofthemodelitself,leavingonlyamoras
8、sofequationsandlittleknowledgeabouttheunderlyingprocess.Zadehstatedthissuccinctlyinhisprincipleofincompatibility,1[A]sthecomplexityofasystemincreases,ourabilitytomakepreciseandyets