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] |
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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)
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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: |
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The Separability and Measurability of Fuzzy Stochastic Processes |
Liu Puyin |
(Department of System Engineering and Mathematics)
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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 |
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