Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2013.08.19
  • Accepted : 2013.10.28
  • Published : 2013.12.30
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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.

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References

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