A Strong Law of Large Numbers for Random Sets in Fuzzy Banach Space

Autor: R. Ghasemi, A. Nezakati, M. R. Rabiei
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Fuzzy Systems, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1687-7101
1687-711X
DOI: 10.1155/2020/8185061
Popis: The main purpose of this paper is to consider the strong law of large numbers for random sets in fuzzy metric space. Since many years ago, limited theorems have been expressed and proved for fuzzy random variables, but despite the uncertainty in fuzzy discussions, the nonfuzzy metric space has been used. Given that the fuzzy random variable is defined on the basis of random sets, in this paper, we generalize the strong law of large numbers for random sets in the fuzzy metric space. The embedded theorem for compact convex sets in the fuzzy normed space is the most important tool to prove this generalization. Also, as a result and by application, we use the strong law of large numbers for random sets in the fuzzy metric space for the bootstrap mean.
Databáze: Directory of Open Access Journals
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