We define some metrics on the space of integrably bounded multivalued functions and the space of integrably bounded fuzzy random variables with values in a separable Banach space. We also define various convergence of sequences of setvalued and fuzzy-set-valued functions. We investigate relationship
Convergence of set-valued and fuzzy-valued martingales
β Scribed by Shoumei Li; Yukio Ogura
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 531 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
The purpose of this paper is to prove the convergence theorems of set-valued and fuzzy-valued martingales in Kuratowski-Mosco sense without assuming that their values are compact or of compact level sets.
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