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- Title
The Strong Laws of Large Numbers for Set-Valued Random Variables in Fuzzy Metric Space.
- Authors
Guan, Li; Wei, Juan; Min, Hui; Zhang, Junfei
- Abstract
In this paper, we firstly introduce the definition of the fuzzy metric of sets, and discuss the properties of fuzzy metric induced by the Hausdorff metric. Then we prove the limit theorems for set-valued random variables in fuzzy metric space; the convergence is about fuzzy metric induced by the Hausdorff metric. The work is an extension from the classical results for set-valued random variables to fuzzy metric space.
- Subjects
METRIC spaces; RANDOM numbers; LAW of large numbers; RANDOM variables; LIMIT theorems; FUZZY sets
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 11, p1192
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9111192