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一种加权灰色关联聚类分析方法在质量评价中的应用.docx

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一种加权灰色关联聚类分析方法在质量评价中的应用 Title:ApplicationofWeightedGreyRelationalClusteringAnalysisinQualityEvaluation Abstract: Qualityevaluationplaysasignificantroleinvariousindustriestoassessandimprovetheperformanceofproducts,services,andsystems.Traditionalqualityevaluationmethodsoftenfacechallengesinhandlingcomplexandmulti-dimensionaldatasets,whereuncertaintiesandimprecisionareinherent.Inordertoovercometheselimitations,thispaperproposestheapplicationofaweightedgreyrelationalclusteringanalysismethodforqualityevaluation.Thisapproachcombinestheprinciplesofgreyrelationalanalysisandclustering,allowingforacomprehensiveandobjectiveassessmentofthequalityofdifferententities.Thepaperprovidesanin-depthexplanationofthemethodology,itsadvantages,anditsapplicationinvariousindustries.Additionally,acasestudyispresentedtodemonstratetheeffectivenessoftheproposedapproach. 1.Introduction Qualityevaluationisofutmostimportanceinindustriestoensurecustomersatisfaction,increasecompetitiveness,anddrivecontinuousimprovement.Traditionalqualityassessmentmethodsoftenrelyondeterministicapproaches,whichmaynotaccuratelycapturethecomplexitiesanduncertaintiesassociatedwithreal-worldscenarios.Inrecentyears,greyrelationalanalysis(GRA)hasgainedpopularityasaneffectivetoolforassessingtherelationshipbetweenvariablesincomplexsystems.ThispaperproposestheincorporationofGRAintoclusteringanalysisforqualityevaluation,formingaweightedgreyrelationalclusteringanalysismethod. 2.Methodology TheweightedgreyrelationalclusteringanalysismethodcombinestheprinciplesofGRAandclusteringtoenableacomprehensiveandobjectiveassessmentofquality.Firstly,thedatasetispreprocessedtohandlemissingvalues,outliers,andnormalizethevariables.Then,GRAisappliedtocalculatethegreyrelationalgradebetweeneachobjectandareferenceobject.Thegreyrelationalgraderepresentsthedegreeofsimilarityorclosenessbetweentheobjectandthereferenceobject.Afterward,clusteringanalysisisperformedonthegreyrelationalgradestogroupsimilarobjectstogether.Thedistancesbetweenobjectswithinclus