数学建模模板final文档格式.docx
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找出影响因素,并对不同的情况进行分析判断。
Eg4:
…doesmakeadifference.
第五段:
寻找最优化模型。
第六段:
说出优缺点。
Eg5:
Atlast,thestrengthandweaknessofourmodearediscussed.
Contents
I.Introduction3
1.1ProblemBackground3
1.2PreviousResearch3
1.3Ourwork3
II.Symbols,DefinitionsandAssumptions3
2.1SymbolsandDefinitions3
2.2GeneralAssumptions3
III.Symbols,DefinitionsandAssumptions3
3.13
3.23
3.33
IV.Twomodelsforcoachranking3
4.13
4.1.13
4.1.23
4.23
4.33
V.Symbols,DefinitionsandAssumptions3
5.13
5.23
5.33
VI.Symbols,DefinitionsandAssumptions3
6.13
6.23
VII.Furtherdiscussion3
7.13
7.23
VIII.StrengthandWeakness3
Strength3
Weakness3
IX.FutureWork3
X.References3
I.Introduction
1.1ProblemBackground
介绍题目中所要求的背景,
然后讨论我们所要解决的问题
Eg:
…………………..(介绍题目背景)
Wefacemainlyfourproblems:
·
………………………….
·
·
1.2PreviousResearch
讨论哪些人或机构已经做过类似的事情,然后给出例子。
说明我们的问题是一个什么样地问题,然后说明那些已有的模型可以解决这类问题,并结合我们的问题介绍这些模型。
Somemagazinesorwebsitesthatfocusmainlyon…….have…...Forexample,……..
Consideringthe……..isan/an……..problem.Therearesomemodelswhichcansolvesuchproblem.Oneis………Anotheris……..
1.3Ourwork
一句话说明文章主要做了什么事,然后分模块介绍。
Inthispaperwe………InSection2,weprovidetheterminologydefinitions
andassumptionsthatwillbeutilizedintherestofthepaper.InSection3,wegivethe
definitionsofevaluationstandardandspecificevaluationnormswhichweusedinourmodels,andshowsomeofthedatawehavecollected.InSection4,webuildtwomathematicalmodelsto…….andSection5considerscombinationofthetwomodelsmentionedabove.InSection6weextendourmodelsandtake(time,gendersandtypesofsports)intoconsideration.Section7provides
furtherdiscussofourmodels.InSection8,weprovideanoverviewofourapproachandgiveanon-technicalexplanationofourmodelsthatsportsfanswillunderstand.Section9showssomeworkwecandointhefuture.
II.Symbols,DefinitionsandAssumptions
2.1SymbolsandDefinitions
分模块给出符号的定义
Symbolsforevaluationnorms:
图
SymbolsforAnalyticHierarchyProcess:
SymbolsforFuzzySyntheticEvaluation:
SymbolsforAggregationModel:
Symbol
Definition
......
............
2.2GeneralAssumptions
●......
III.Articulateourmetrics
3.1Specifyevaluationnorms
说明一些相关行业的评估标准,并指出我们这个问题有什么评估标准。
然后分条阐述:
Asfortheevaluationstandardfor……,therearemainlyfiveaspectsthatcount:
……..,Similarlya/an……couldbeevaluatedfromfollowingfiveaspects:
……….
详细说明每一个评价因素,并对每一个指标进行量化,然后通过图表总体说明。
●Historicalrecord:
●Gamegoldcontent:
●Playoffperformance:
●Honors:
●Contributiontosports:
………………….Toquantifythe………………,Let………..denotethe……………
(也就是说)Namely………..reflects.................
Afigureispreparedto…………………….above.(Seefigure)
3.2Collectdata
举其中的一个例子进行说明,说明从哪儿进行搜集数据,并且说明为什么选择这些人作为样本。
Weuse……thatwillbeutilizedinthefollowingmodelsdiscussionasanexample,andcollectrelativedatafromtheInternet.Wechoosethose……………..because……………What’smore,weselectother…………..
说明从哪可以搜集数据,并且将搜集到的数据与网上资料进行比较可以得到结论,将他们放在表中,并以其中的一部分为例。
Searchingfrom(thesports-),awebsitethatcanprovidespecificdataabout…………,wecanfindrelativedataof…………CombiningthosedatawiththestatisticswesearchfromtheWikipedia,wefinallyconclude………….andlisttheminaform.Herewegivestatistics……..asanexample
给出一个表
其他方面的数据。
给出一个表。
3.3Preprocessdata
说明数据处理过程中遇到的问题以及所采用的的解决方案。
WhenwecollectdatafromInternet,wenoticethatsomedataismissingdueto…………….Giventhefact,wehavetopreprocessthedatafromInternet.Asforthedatafor……………,…………aresometimesmissing.Thesolutionadoptbyusisfillingthedatamainlybasedoninterpolationaccordingto(theranking)generatedby(theothermetrics).
IV.Twomodelsforcoachranking
4.1ModelI:
AnalyticHierarchyProcess(AHP)
说明为什么选择这个模型
Whenwetryto…,subjectivejudgmentisill-considered.Sowechoose…Modelasthewayto…
4.1.1Thethree-hierarchystructure
说明所使用的方法并详细阐述
4.1.2Obtaintheindexweight
Determinethejudgingmatrix
Calculatetheeigenvaluesandeigenvectors
Dotheconsistencycheck
4.2
4.3
V.SensitivityAnalysis
5.1
5.2
5.3
VI.Furtherdiscussion
6.1
6.2
模型检验优化部分:
Nowwetakegendersintoconsideration.Westillusebasketballasanexample,and,Then
wecollecttherelativedataabout50collegewomen’sbasketballcoacheswith600andother5coacheswhohaveestablishedoutstandingtraditions,earnedmanyawardsandgarneredrecognitionfortheircolleges.Thenwerankthemwithourmodelsmentionedabove.
Fromthe,wegetalistoftheall-timetoptenNCAAwomen’sbasketballcoaches,andthelistisshowninfollowingtable.
Usingtheaverageoffsetdistancementionedinsection5;
wecanmeasurethehitscoreforourmodels.Allresultsofourmodelsareinagreementwithinreasonableerrorrange(hitscore=87.57),sothatwecansafelyaddresstheconclusionthatourmodelscanbeappliedingeneralacrossbothgenders.
是否影响的表述
Gendersdonotmatter
Timefactordoesmakeadifference
Whytimefactormatters?
Toquantifythetimefactor,weattachweight…评价
Whatfollowsinthechapterwillbedevotedtoexplainingthechangesindetail.
Thenamesinboldarethepeoplewhoserankhaschanged):
Namely
InmodelI(AHP),Top5hitscorechangesfrom83.72to83.56,namely,(即)Top5hitscorenearlyremainsunchanged.
Top10hitscorechangesfrom78.77to76.60,namely,Top10hitscorefallstosomeextent.(在某种程度上)
Thetimeweightforhisageisrelativelylowthus(conj)makingtherankingfall.
InsectionV,Wehavestatedthatwechoosesomeexistedrankingsascriterion,
InsectionV,Wehavestatedthatwechoosesomeexistedrankingsascriterion,buttheserankingsgenerallydonottakecoachingagesintoconsideration,moreover,someauthoritiesholdtheviewpointsthatthecoachesinearlyagesareofmoreauthority,leadingtothehitscorefalling.
Step2:
Adaptthecalculationrulesaccordingtothefeatureofthesports.
Forexample,themetricsforfootballinplayoffperformancehavealreadychanedeachclassofperformanceshouldbeassignedanotherweightaccordingtothecontentofdifferentbowls.Atthesametime,theawardsandtheirweightsunconsiderationshouldalsobeadjustedforthe“Honors”aspect.
Thefollowingfigureshowsthestepsofapplyingthemodelintoallpossiblesports:
VII.Furtherdiscussion
7.1SensitivityAnalysisonFSE
7.1.1VaryMembershipfunction
总体讨论,对每一部分进行分析,图标说明,结论。
In(FSE)discussedinsection4.2,wechoose(4.12)as(themembershipfunction).Buttherearealsoother(availablemembershipfunctions).Thefollowingtableshows(themembershipfunctionsthataretakenintoconsiderationinthispart.
7.2SensitivityAnalysisonAggregationweight
Inthispart,wewill………….
图表加分析。
7.3Exploration:
EvaluatingBestPresident
使用我们的模型对其它类似的东西做相似的事情。
Nowweuseourmodelsto…………………..Wechoose………………,andcollectrelativedatafromtheinternet[24].
说明评价标准。
对上述评价标准细分。
VIII.StrengthandWeakness
Strength
●
Weakness
IX.FutureWork
X.Non-technicalExplanation
说明我们要讨论的问题的意义,并给出结果,可以以图表的形式呈现。
介绍我们解决问题的过程。
说明我们搜集数据的过程。
八优势与劣势
Strength:
Whenwearticulateourownmetricsforassessment,wetryourbesttoincludealltheimportantelementsof……tomake……moreaccurate.
Weevaluatetheperformanceof……from5specificperspectives.
Theaggregationmodelisdevotedto……
Westatesadistinctquantificationsystemwhichisexpectedtoliveuptothecommonsense.
Weakness:
Weadopttotallyeighteenindicatorstoevaluate……,namelynotallelementsisunderconsideration.
Weightsareeverywhereinthemodel,butsomeweightassignmentsmightnotbethebestscheme.
十未来的工作
Futurework
Considerallpossible……together,regardlessof……
Take……intoconsideration,becauseresearchsuggeststhat……
Developageneralmethodto……whenthereisonewaytoquantify.
十一参考文献
References
XI.Appendices
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