模糊集值鞅和模糊集值平方可积鞅
Fuzzy Set-Valued Martingales and Fuzzy Set-Valued Square Integrable Martingales
摘要: 本文中，我们首先介绍了一些必要的符号、定义，在第二部分中给出了一些集值和模糊集的相关定理及证明，第三部分中我们给出了模糊集值鞅的定义及模糊集值平方可积鞅的表示定理，并对该表示定理进行了证明，同时讨论了可分的模糊集值随机过程，对部分定理进行了证明。
Abstract:
In this paper, we first introduce some necessary symbols and definitions. In the second part, we give some related theorems and proofs of set-valued and fuzzy sets. In the third part, we give the definition of fuzzy set-valued martingale and the representation theorem of fuzzy set-valued square integrable martingale, and prove the representation theorem; at the same time, we discuss the separable fuzzy set-valued random process, and prove some theorems.
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