模糊数值函数列的弱一致可积性与收敛性  

Weak equi-integrability and convergence for the sequence of fuzzy number-valued functions

作　　者：赵乖霞[1] 巩增泰[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2008年第5期13-16,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10771171);甘肃省教育厅科研基金资助项目(0601-20)

摘　　要：引进模糊数值函数列弱一致Henstock可积的概念,得到Henstock可积的模糊数值函数列收敛的充分必要条件是弱一致模糊Henstock可积;这使得一致可积收敛定理、控制收敛定理成为其推论.The concept of weak equi-integrability for the sequence of fuzzy number-valued functions is proposed,and a necessary and sufficient condition for the convergence of the sequence of fuzzy number-valued functions which is weakly equi-integrable is obtained.As corollaries,the equi-integrable convergence theorem and dominated convergence theorem are given.

关 键 词：模糊数 弱一致Henstock可积 收敛定理 

分 类 号：O15[理学—数学]