2-型模糊變量的簡約方法及其在數據包絡分析中的應用.pdf

1、河北大學碩士學位論文2型模糊變量的簡約方法及其在數據包絡分析中的應用姓名：秦蕊申請學位級別：碩士專業(yè)：運籌學與控制論指導教師：劉彥奎20100501AbstractAbstractType2fuzzyvariableisamapfromafuzzypossibilityspacetotherealnumberspaceitisanappropriatetooltodescribetype2fuzziness.Thisthesisfirs

2、tlyproposestwoclassofnovelreductionmethodsfatype2fuzzyvariablewhichonereferedtoasmeanreductionmethodscriticalvaluereductionmethodsrespectivelydiscussestheirbasicproperties.Secondlythisthesisappliesthereductionmethodstoda

3、taenvelopmentanalysis(DEA)modelswithtype2fuzzyinputsoutputsdevelopstwonewclassoffuzzyDEAmodels.Accdingtothepropertiesofgeneralizedcredibilitywhentheinputsoutputsaremutuallyindependenttype2triangularfuzzyvariableswecantur

4、ntheproposedfuzzyDEAmodelsintotheirequivalentparametricprogrammingproblemsinwhichtheparameterscanbeusedtoacterizethedegreeofuncertaintyabouttype2fuzziness.Fanygivenparameterseachoftheparametricprogrammingmodelsbecomesano

5、nlinearlinearprogrammingonethatcanbesolvedbystardoptimizationsolvers.Feachclassofthemodelssweprovideonenumericalexampletoillustrateitsmodelingideaefficiency.Themaincontributionofthisthesiscontainsthefollowingfouraspects:

6、(i)twoclassofnovelreductionmethodsfatype2fuzzyvariableareproposedsomepropertiesofthereductionmethodsarediscussed(ii)withtheproposedreductionmethodstwonewclassoffuzzyDEAmodelsareesstablished(iii)theequivalentparametricpro

7、grammingproblemsoftheestablishedmodelsarediscussedundertheassumptionthattheinputsoutputsaremutuallyindependenttype2trianglarfuzzyvariables(iv)twonumericalexamplesareprovidedtoillustratethemodelingideastheeffectivenessoft