摘要
本文引入了Fuzzy集函数的“自连续性”、“伪自连续性”,关于可测函数列给出了“几乎处处收敛”、 “伪几乎处处收敛”、“依Fuzzy测度收敛”、“伪依Fuzzy测度收敛”等概念。进一步,在讨论了Fuzzy集合上Fuzzy积分的一些性质的基础上,证明了Fuzzy积分序列的一些收敛定理。
In this paper, the autocontinuity and the pseudo-autocontinuity for a fuzzy set function are introduced, some concepts of the convergence (pseudo-) almost everywhere and the convergence (pseudo-) in fuzzy measure fpr a sequence of measurable functions are given. Furthermore, we discuss some properties of fuzzy integrals on. fuzzy sets and prove some convergence theorems of a sequence of fuzzy integrals.
关键词
模糊集合
模糊积分
序列
收敛
fuzzy set
fuzzy σ-algedra fuzzy measure
fuzzy integral
