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

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.