Strong Laws of Large Numbers for Fuzzy Set-Valued Random Variables in Gα Space - Advances in Pure Mathematics

APM > Vol.6 No.9, August 2016

Advances in Pure Mathematics

Volume 6, Issue 9 (August 2016)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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Strong Laws of Large Numbers for Fuzzy Set-Valued Random Variables in G_α Space ()

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DOI: 10.4236/apm.2016.69047 1,682 Downloads 2,390 Views Citations

Author(s)

Lamei Shen, Li Guan

Affiliation(s)

College of Applied Sciences, Beijing University of Technology, Beijing, China.

ABSTRACT

In this paper, we shall present the strong laws of large numbers for fuzzy set-valued random variables in the sense of d^∞_H . The results are based on the result of single-valued random variables obtained by Taylor [1] and set-valued random variables obtained by Li Guan [2].

KEYWORDS

Laws of Large Numbers, Fuzzy Set-Valued Random Variable, Hausdorff Metric

Share and Cite:

Shen, L. and Guan, L. (2016) Strong Laws of Large Numbers for Fuzzy Set-Valued Random Variables in G_α Space. Advances in Pure Mathematics, 6, 583-592. doi: 10.4236/apm.2016.69047.

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