| 引用本文: | 刘普寅.模糊随机过程的可分性与可测性.[J].国防科技大学学报,1993,15(4):109-111.[点击复制] |
| Liu Puyin.The Separability and Measurability of Fuzzy Stochastic Processes[J].Journal of National University of Defense Technology,1993,15(4):109-111[点击复制] |
|
| |
|
|
| 本文已被：浏览 6407次 下载 6246次 |
| 模糊随机过程的可分性与可测性 |
| 刘普寅 |
|
(系统工程与数学系)
|
| 摘要: |
| 本文证明了一个模糊随机过程{At(ω)，t∈T}必存在一个与之等价的可分模糊随机过程{Bt(ω)；t∈T}；且若模糊随机过程{At(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{Ct(ω)，t∈T}。 |
| 关键词: 模糊随机过程，可分模糊随机过程，随机连续，可测模糊随机过程 |
| DOI： |
| 投稿日期：1992-05-25 |
| 基金项目: |
|
| The Separability and Measurability of Fuzzy Stochastic Processes |
| Liu Puyin |
|
(Department of System Engineering and Mathematics)
|
| Abstract: |
| In this paper，it is proved that there is a separable fuzzy stochastic process {Bt(ω)，t∈T} which is equivalent to a fuzzy stochastic process {At(ω)，t∈T}. Moreover，if a fuzzy stochastic process {At(ω)，t∈T} is stochastically continuous，then the existence of a separable and measurable fuzzy stochastic process {Ct(ω)，t∈T} that is equivalent to {At(ω)， t∈T} is proved. |
| Keywords: fuzzy stochastic processes,separable fuzzy stochastic processes,stochastically continuous,measurable fuzzy stochastic processes |
|
|
