n-維區(qū)間向量與n-維區(qū)間值函數(shù).pdf

1、分類編號二密級單位代碼:10065學(xué)號:08205010天津師范大學(xué)研究生學(xué)位論文論文題目:n一維區(qū)間向量與n一維區(qū)間值函數(shù)學(xué)生姓名:趙新虎申請專業(yè)名稱:應(yīng)用數(shù)學(xué)指一導(dǎo)教師姓名:土貴君提交論文日期:2011年4月申請學(xué)位級別:理學(xué)碩士研究方向:模糊數(shù)學(xué)專業(yè)技術(shù)職稱:教授AbstraetTheemergeneeofintervalanalysisandfuzzymathematies15almostinthesameperiod.They

2、openupitsdevelopmentandresearehwithinnovativetliinkingofw即s.What15more，itsseoPeofapPlieationhasalsobeeninvolvedinrnanyasPeets.Inthe:tudyofFuzzymathematies，therearemanyPlaeestodealwithinte，，valanalysis.This15averymeaningf

3、ulProjeettobeextendedtothefieldoffilzzymathematieswiththetheoryofintervala刀alysisinaeeor〔lanee認(rèn)Zit2themathematiealsystemandthew盯ofthinking.TlzofirotPai飛15abouttlzeiiit，ezvall一uzl一bei名azld11一tei軍比l一valuedftlxlet.ioll、.Fir

4、stly，withthedistaneebetweentheintervalnumbers.wediseussedtlieeorlvergeneeofintervalsequeneesinthenaturesoftheintervalnumbers，thenobtainedsomeProPertieswhieharesimilartealnumbers.AndwestudiedtllelimitsandandtheoPerational

5、Propertiesofinterval一valuedfunetions.FOrtheeontinuousinterval一valuedfunetions，weresearehed1115mostvaluedtheorem.TheseeondPart15aboutthe幾一dimensionalintervalveetorsandn一dimensionalinterval一valuedfunetion.認(rèn)飛usedintervalnum

6、bersfthedefinitionofn一diizlezisionalintervalveetor、，diseussedtheoPerationalProPertiesofn一dimensionalintervalveetors.TheninthesPaeeofn一dimensioizalintervalveetorswedefizie(1thedistaneebyw盯oftheveetormodeandresearehedsyste

7、matieallytheeonvergeneeof幾一dimensionalintery滋sequeneesontheb筋15ofthedistaneeofthen一dimensionalintervalveets.Finally，weeharaeterizedthelimitandtheeontinuityofn一dimensionalintervalvalued一fuion飾veetmodethedi、taneeandobtaine

8、dsomeimPortantresultslikeintervalvalued一funetion.TheresultslaidatheoretiealfoundationffurtherstudyingandaPPlyingofmulti一dimensionalflzzy一valuedfunetions.Keywords:intervalnumber:interval一valuedfunetion:n一dimensiorialinter