摘要
本文证明取值于度量空间的函数的Ｂｏｃｈｎｅｒ积分与Ａｕｍａｎｎ积分是等价的，且积分值相等。空间的Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ性质（简称ＲＮＰ）在正线性等距映射下保持不变。在此基础上得到空间ＳＵＦ具有ＲＮＰ，且把诸结果应用于模糊上秧的研究，得到了模糊上鞅的几个收敛定理。
In this paper,the equivalence between the Bochner integrations and Aumann inte-grations of the ftinctions whose values are in the metric space is proved,and two integral values are eqtial.The RNP(Radon-Nikodym Property)of a space iskept through a positively linearly equivalent mapping. Thus,the RNP of the space SUFis obtained,and moreover,these results are applicated to the discussions of the fuzzysupermartinglar.A few of convergent theorems about the fuzzy supermartinglar are ob-tained.
出处
《模糊系统与数学》
CSCD
1994年第1期32-42,共11页
Fuzzy Systems and Mathematics
关键词
函数空间
R-N性质
SUP
模糊鞅
The space SUF,Fuzzy martingale(supermartingale),Bochner integra-tion.
