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一种基于模糊规则融合的模糊建模方法及其应用 Title:AFuzzyRule-basedFusionMethodforFuzzyModelinganditsApplications Abstract: Fuzzymodelinghasgainedsignificantattentionduetoitsabilitytohandleuncertainandvagueinformationinvariousapplications.Thispaperproposesanovelfuzzyrule-basedfusionmethodforfuzzymodelingandexploresitsapplicationsindifferentdomains.Themethodcombinesfuzzylogicwithrule-basedfusiontoenhancetheaccuracyandinterpretabilityofthemodelingprocess.Experimentalresultsdemonstratetheeffectivenessoftheproposedmethodinsolvingarangeofreal-worldproblems. 1.Introduction Withtheincreasingcomplexityanduncertaintyinreal-worldsystems,traditionalmodelingapproachesoftenfailtocapturethedynamicsandimprecisionofsuchsystems.Fuzzymodelingprovidesapowerfultooltohandlethesechallengesbyeffectivelyrepresentingandreasoningwithimpreciseanduncertainknowledge.However,theaccuracyandinterpretabilityoffuzzymodelscanbefurtherimprovedbyincorporatingrule-basedfusiontechniques. 2.FuzzyModelingandRule-basedFusion 2.1FuzzyModeling Fuzzymodelinginvolvesrepresentingandanalyzingcomplexsystemsusingfuzzysets,fuzzyrules,andfuzzyreasoning.Fuzzysetsenabletherepresentationofimpreciseanduncertaininformation,whilefuzzyrulescapturetheexpertknowledgeanddecision-makingprocessofhumanexperts.Fuzzyreasoningensuresthattheinput-outputrelationshipsofthesystemareaccuratelycharacterized. 2.2Rule-basedFusion Rule-basedfusionisatechniqueusedtointegratemultiplefuzzyrule-basedsystemsorexpertopinionsintoasinglemodel.Itcombinestherulesandoutputsofindividualmodelsbyaggregatingtheiroutputsusingfuzzysetoperationsorotherfusionoperators.Thisprocessimprovestherobustness,accuracy,andinterpretabilityoftheresultingmodel. 3.FuzzyRule-basedFusionMethod Theproposedfuzzyrule-basedfusionmethodinvolvesthefollowingsteps: 3.1RuleGeneration Expertknowledgeaboutthesystemiselicitedtocreateasetoffuzzyrules.Theserulescapturetherelationsbetweentheinputandoutputvariables,incorporatingknowledgeaboutthesystemdynamicsanduncertainties. 3.2RuleSelectionandRanking Individualf