無窮區(qū)間上模糊數(shù)值函數(shù)的積分，數(shù)值積分與微分.pdf

1、Y冀絮368淵分類型竺Z密級(jí)——話1l龜吞尋霉已失嘗。碩士學(xué)位論文無窮區(qū)問上模糊數(shù)值函數(shù)的積分，數(shù)值積分與微分汪玲專業(yè)名稱：座旦墊堂論文答辯日期：!!!!生!旦學(xué)位授予時(shí)間：!!!i生旦答辯委員會(huì)主席：評(píng)閱人：oo六年月AbstractInthispaper，theconceptofthefuzzyHenstockintegraloninfiniteintervalforthefuzzynumbervaluedfunctionsispr

2、oposedinordertocal—culatetheexpectationoffuzzyrandomvariablesandtheneedsofdevelop—mentoffuzzyintegralsTwocalculatingmethodsareproposed：oneistocalculatedirectlybythefuzzyHenstockintegralproposedinthispaper，in—cludingquadr

3、aturerulesandtheerrorestimatessuchasthemidpoint—typerule)trapezoidal—typerule，Simpson’Sformula，5finequadraturerulesandtheirerrorestimates；anotheristocalculatebyusingtheequivalentcharacteristicoffuzzyHenstockintegrability

4、，whosethemembershipfunctioncouldbeobtainedbysolvinganonlinearprogrammingproblemAtthesametime，wedefinetheFdifferentiabilityoffuzzynumbervaluedrunetionbyusingitssupportfunction，theresultspointthatitisweakerthanthatPuriandR

5、aleseuintroducedAnditisprovedthattheprimitivesofHenstockintegrablefunctionsaredifferentiablealmosteverywhereinthesenseofF—differentiabilityKeywords：Infiniteinterval，F(xiàn)uzzynumber，F(xiàn)uzzyvaluedFunction，Integral)Numericalinteg