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Bull. Korean Math. Soc. 2002; 39(3): 511-526
Printed September 1, 2002
Copyright © The Korean Mathematical Society.
Strong laws of large numbers for random upper-semicontinuous fuzzy sets
Yun Kyong Kim
Dongshin University
In this paper, we concern with SLLN for sums of independent random upper-semicontinuous fuzzy sets. We first give a generalization of SLLN for sums of independent and level-wise identically distributed random fuzzy sets, and establish a SLLN for sums of random fuzzy sets which is independent and compactly uniformly integrable in the strong sense. As a result, a SLLN for sums of independent and strongly tight random fuzzy sets is obtained.
Keywords: random fuzzy sets, strong law of large numbers, compactly uniform integrability, tightness
MSC numbers: 60D05, 60F15
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