平面上模糊數(shù)值函數(shù)的Henstock積分.pdf

1、分類塵l鰻套密級——彰如衙瓤戈學(xué)碩士學(xué)位論文平面上模糊數(shù)值函數(shù)的He；nstock積分李娟導(dǎo)師姓名職稱；鞏增泰教授專業(yè)名稱：計算數(shù)學(xué)研究方向：模糊分析學(xué)及薯應(yīng)用論文答辯日期：2007年5月學(xué)位授予日期：2007年6月答辯委員會主席：評閱人：二零零七年五月AbstractInthispapertheintegraloffuzzynumbervaluedfunctionsintheplaneisdiscussedFirstlyasthege

2、neralizationof&finepartitions，thefinepartitionintheplanewhichisnamedderivatebaseisproposed，andtheHenstockintegraloffuzzynumbervaluedfunctionsintheplaneisdefinedintheseuseofthederivatebaseaboveInaddition，thepropertiesandt

3、hecharacteristictheoremsofthiskindofintegralaxediscussedbymeansofstudyingabstractfunctionsinBanachspaceNextlythedefinitionofPerronintegrMandDenjoyintegralforfuzzynumbervaluedfunctionsintheplanearegiven，andbyusingthem，wed

4、iscussthecharacterizationtheoreinsoftheprimitivefunctionsforfuzzyHenstockintegralinthesenseofthespecialderivatebasesAndwealsostudytheabsoluteintegrabilityandcontinuityoffuzzynumbervaluedfunctionsintheplaneunderconsiderar

5、tionofdifferentderivatebasesFinallyforthefumwHenstockintegralinplane，twocalculatingmethodsareproposed：oneistocalculatedirectlybyusingthemethodofapproximationincludingquadraturerulesandtheerrorestimatessuchastherectangula

6、rruleandSimpson’Sformular；anotheristocalculatebyusingtheequivalentcharacteristicoffuzzyHenstockintegrabilitywhosemembershipfunctioncouldbeobtainedbysolvingnonlinearprogrammingproblemKeywords：Derivatebases；Fuzzynumber；Fuz