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1、杰出教练员评定研究Abstract：Inthispaper,Iproposethreemathematicalmodelstostudycoachesclustering,rankingofcoachesinthesamecluster,andthequantificationoftimeline・ThenItackletwosub-problems,coachevaluationwithoutthefactoroftimeline,coachevaluationconsideringtheinfluenceoftimeline,theextensionofour
2、modelforallgendersandsports.Problemonedealswithcoachevaluationwithoutthefactoroftimeline.Iselectfourtime-independentmetrics,namely,coachingtime,winningpercentage,totalcoachingsessions,andchampionships・Icandividethecoachesintothreegroupsusingk-meansmethods.Throughcomparisonofthecentroi
3、dineachgroup,Ideterminethecoachingleve1.Iscorethefirst-classcoachesbyusinganalyticalhierarchyprocess(AIIP)•Sincecoachesofthesamegrouphavecommoncharacteristics,Istrengthenthreeparameterstodeterminethecriterialayer,andconstructacomparisonmatrix.ThenIobtaintheweightoftheevaluationmetrics
4、,andrankthecoaches・FinallyIgetalistof“theoutstandingcoachinthe20thcentury•Problemtwotakestimelineintoconsideration.Ibuildaregressionmodeltoquantifythegrowthoftheteamsparticipated,andgetasimplifiedindicatorofcompetitivelevel.Throughanalyzingthefourstrengthenedparameters,Igetamorescient
5、ificrankingofcoaches.一、Problem(―)ClusteringModelIextractthedateofthecoachingtime,winningpercentage,totalnumberofcoachingsessionsandchampionshipsbytheobtainedcoaches，data,whichisusedtoformaprimarydatabase.Thisdatabasewillbeclassifiedaccordingtothesimilarityofthedata,thatistosay,theclos
6、ertwoobjectsare,thehighersimilaritytwoobjectshave.Hence,theytwoshouldbelongtothesameclass.(二)AnalyticHierarchyProcess(AHP)Throughclusteringmodel,Tseiect4classificationparameters,whicharecoachingtime,winningrate,totalcoachingsessions,andchampionshipsandIdividethecoachesinto3levels.Acco
7、rdingtotheassumptions,“theoutstandingcoachesnareclassifiedinthefirst-classgroup.(三)ConstructpairwisecomparisonmatrixesHierarchyreflectstherelationshipbetweenthefactors,butweightfordifferentcriteriaintheprocessisnotnecessarilythesame,asdifferentdecisionmakershavetheirownmetrics.Firstly
8、,Tnee
