关于多目标决策问题的理想点法研究

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1、西南交通大学硕士学位论文关于多目标决策问题的理想点法研究姓名：艾正海申请学位级别：硕士专业：应用数学指导教师：宋振明20071101西南交通大学硕士研究生学位论文第1I页AbstractMultipleAttributeDecisionMakingProblemdiscussesther柚kingmethodandpriorityorderofdefinitealternativeswhichareofplentyofattributes．Inrecenttwentyyears，thestudyofitstheoryandmethodha

2、sbeenmadeagreatimprovementandithasbeenasubjectofmanyfields，suchasDecisionScience，SystemEngineering,ManagementScienceandOperationsResearch，andSOon．Ithasbeenmadeatooltosolvetheproblemsofourlifeandthiswillbecomemoreandmoreimportant．ThestudyofMultipleAttributeDecisionMakingPr

3、oblemhasbeenmademuchachievement，however，itisstillbeenimproved，IdealPointsolutiondiscussedinthepaperisapartofcalculatingproblemofMultipleAttributeDecisionMakingProblem．Inthepaper,thesolutionswereasfollows：‘1．Inthepaperof<

4、nterval2-ValuedWeight>>,ZhangJijunfoundTOPSIStomultipleattributedecisionmakingproblemwithimerval2-valuedweight．ThismethodWassimple．practicalanddemandedlessinformation．Butthereweresomeshortcomingsinthepaper,Theshortcomingsaleanalysisbyusingconcreteexamplesandthe“distance”i

5、simprovedinthispaper．Meanwhiletherevisionofproximityisgiventocalculatesimply．TOPSISisgivenInthispaper．2．Becausepositiveidealplan，negativeidealplanand置planofthepaperZhangJijun’S<>wereall“superrealcub

6、es”witllndimensions,itisreasonabletodefinetheirdistanceamongtheirsasaSccJpe，intervalnumber．Becauseofthis，thepaperdiscussedamethod—IntegratedApproachofIdealPointSolutionBasedonLinearWeightAdding3．Intheviewofminimizingtheweightedsumofdeviationsquare，thepaperdiscussedanother

7、method------IntegratedModelBasedonLinearWeightAddingandMinimumDeviation．4．Fromanalysisingtheessenceof“expectation、rah圮’，．———_‘‘distance”ofHOUHongfeng,LIUSanyang．LIYiqun’S《Amethodbasedonexceptedvaluesforfuzzymultipleattributedecisionmakingproblemwithpreferenceinformation西南

8、交通大学硕士研究生学位论文第lII页onalternatives》，thepaperpointedouttheshortcomingofrankinganddiscussed：Improvin