29861.三元區(qū)間數(shù)的排序理論研究及其應(yīng)用

1、分類號——ICS——學(xué)校代碼!Q!呈魚學(xué)號墊!!QQ塑Z委薹一～莖一3復(fù)肉蒙名民燕大學(xué)碩士學(xué)位論文三元區(qū)間數(shù)的排序理論研究及其應(yīng)用TheStudyofSortingTheoryofTernaryIntervalNumbersandItsApplication申請人：學(xué)科專業(yè)：研究方向：學(xué)位類別：指導(dǎo)教師：劉國鋒應(yīng)用數(shù)學(xué)模糊分析及凸性理論學(xué)術(shù)學(xué)位包玉娥教授論文提交日期：二。一四年三月重StudyingofTheSequencingTheo

2、ryofTemaryIntervalNumbersandItsApplication’AbstraGtIntervalNumbertheoryisoneofthemathematicaltheorybasisofdealingwithuncertaintyproblemsItprovidesanewwayforsolvinguncertaintiesinthefieldofengineeringandmanagementdecision

3、—makingieestablishingdecision—makingmodelbasedonintervalnumberSpecially，uncertainmultipleattributedecisionproblemsareoftenconvertedtothesortingandcomparisonproblemofintervalnumbersSostudyingthesortingofintervalnumbersand

4、itsapplicationproblemhasgreattheoreticalsignificanceandapplicationvalueInthesortingtheoryofintervalnumbersandapplication，theresearchismoreperfectaboutthesortingtheoryofbinaryintervalnumbersanditsapplicationsButthestudies

5、onthesortingtheoryofternaryintervalnumbersanditsapplicationarestillnotmatureenoughSOthatfurtherresearchisneededThus，basedonanalysisandstudyingthesortingtheoryofbinaryintervalnumbers，wegivetwosortingmethodsoftemaryinterva

6、lsortingmethodoftemaryintervalnumbersandthesortingmethodofternaryintervalnumbersdegreeSpecificworksareasfollows：numbersanditsapplicationNamely，theitsapplicationsbasedonthecredibilityandanditsapplicationsbasedontheclosene

7、ss1Firstly，throughextendingtheconceptionofcredibilitymatrixofbinaryintervalnumbers，wegivetheconceptionofcredibilitymatrixoftemaryintervalnumbersandestablishasortingmethodoftemar)“intervalnumbersbasedonthecredibilitymatri

8、xSecondlyasanapplicationofthesortingmethod，throughtheestablishmentoffuzz“comprehensiveevaluationmodelandmembershipfunctionofevaluationindexeswithrespecttotheevaluationgrade，weconductacomprehensiveevaluationfortheclassroo

9、mteachingqualityofateacher2FirstlythroughextendingtheconceptionofclosenessdegreeofbinaryintervalnumberswediscussthenearnessproblemofternaryintervalnumbersWegivetheaxiomaticdefinitionofclosenessdegreeofternaryintervalnumb

10、ers，andgetthegeneralrepresentationofclosenessdegreeWeillustratethatwecarlconstructvariousclosenessformulasaccordingtothegeneralrepresentationThiscaseprovidesagreatconveniencefortllepracticalapplicationofnealTlessofinterv