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Strong laws of large numbers for random upper-semicontinuous fuzzy sets

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Abstract

In this paper, we concern with SLLN for sums ofindependent random upper-semicontinuous fuzzy sets. We first givea generalization of SLLN for sums of independent and level-wiseidentically distributed random fuzzy sets, and establish a SLLNfor sums of random fuzzy sets which is independent and compactlyuniformly integrable in the strong sense. As a result, a SLLN forsums of independent and strongly tight random fuzzy sets is obtained

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