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http://dx.doi.org/10.11568/kjm.2013.21.4.383

SOME NOTES ON STRONG LAW OF LARGE NUMBERS FOR BANACH SPACE VALUED FUZZY RANDOM VARIABLES  

Kim, Joo-Mok (School of General Education Semyung University)
Kim, Yun Kyong (Department of Information and Communication Engineering Dongshin University)
Publication Information
Korean Journal of Mathematics / v.21, no.4, 2013 , pp. 383-399 More about this Journal
Abstract
In this paper, we establish two types of strong law of large numbers for fuzzy random variables taking values on the space of normal and upper-semicontinuous fuzzy sets with compact support in a separable Banach space. The first result is SLLN for strong-compactly uniformly integrable fuzzy random variables, and the other is the case of that the averages of its expectations converges.
Keywords
Random sets; Fuzzy random variables; Strong law of large numbers; Compactly uniform integrability; Tightness;
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Times Cited By KSCI : 2  (Citation Analysis)
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