摘要
本文证明了一个模糊随机过程{_t(ω)t∈T}必存在一个与之等价的可分模糊随机过程{_t(ω)t∈T};且若模糊随机过程{_t(ω)t∈T}随机连续,则它存在等价的,可分且可测的模糊随机过程{■_t(ω)t∈T}。
In this paper, it is proved that there is a separable fuzzy stochastic process{_t(ω)t∈T}which is equivalent to a fuzzy stochastic process{_t(ω)t∈T}. Moreover, if afuzzy stochastic process{_t(ω)t∈T} is stochastically continuous, then the existenceof a separable and measurable fuzzy stochastic process {■_t(ω)t∈T} that is equivalentto {_t(ω)t∈T} is proved.
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
1993年第4期109-111,共3页
Journal of National University of Defense Technology
关键词
模糊随机过程
可分性
可测性
fuzzy stochastic processes
separable fuzzy stochastic processes
stochastically continuous
measurable fuzzy stochastic processes