Mosco convergence of strong laws of large numbers for triangular array of row-wise exchangeable random sets and fuzzy random sets

Abstract

In this paper, we obtain strong laws of large numbers for triangular array of row-wise exchangeable random sets and fuzzy random sets in a separable Banach space in the Mosco sense. Our results are obtained without bounded expectation condition, with or without compactly uniformly integrable and reverse martingale hypotheses. They improve some related results in literature. Moreover, some typical examples illustrating this study are provided.