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1、Team#28586Page1of24TeamControlNumberForofficeuseonlyForofficeuseonlyT1________________28586F1________________T2________________F2________________T3________________F3________________T4________________ProblemChosenF4________________B2014MathematicalContestinM
2、odeling(MCM/ICM)SummarySheet(Attachacopyofthispagetoyoursolutionpaper.)Typeasummaryofyourresultsonthispage.Donotincludethenameofyourschool,advisor,orteammembersonthispage.SummaryToevaluateacoachcomprehensively,manyaspectsshouldbeconsidered;especiallytheperf
3、ormanceofhisteamandpersonalability.However,noteveryaspectisequallyimportant,andtheweightofeachaspectcanbedifferentduringdifferenttimeperiods.Therefore,acomprehensiveevaluationmodelwhichcanbeappliedtobothmaleandfemalecoachesiscreated;itincludesevaluationinde
4、xes,indexweights,andevaluationcriteria.Weselectedthefirst-levelindexesaftercomparingmanyscholarlyresources,anddeterminedthesecond-levelindexesandthird-levelindexeswithfurtheranalysis.Attheend,withthehelpofexpertsandthesupportofstatisticalevidence,weselected
5、indexeswhichcanreflectthecoaches’performancecomprehensively.Theseindexesincludetheperformanceofacoach’steam,thecoach’spersonalabilityandsoon.Forindexweights,basedonourresearch,wecalculatedtheratioofimportanceofeachindexandgotthejudgmentmatrix.Thenweobtained
6、theresultsbyusingAnalyticHierarchyProcess,andcheckedourresultsattheendtoensuretheaccuracy.Referringtoscholarlyresourcesandexperts,wepresetevaluationcriteriaofratingevaluationremarksanddeterminedmembershipfunctiontoquantifytheevaluationcriteriaofcollegecoach
7、es.AfterobtainingthescoresofmanyexcellentcoachesandusingFuzzyAnalyticEstimationtoprocessthedata,ourmodelselectedtop5coachesbasedontheirevaluationscores.Duringtheprocessofevaluation,wecombinedqualitativeanalysisandquantitativeanalysistoensurefairnessandopera
8、bility.Regardingtheinfluenceoftimeline,wecalculatedbyusingindexweightsofcorrespondingtimeperiodinordertodofurthercomparison.Aftercalculation,weanalyzedindexweightsbyusingSensitivityAnalysistoconfirmthe