Strong and Weak Laws of Large Numbers for Weighted Sums of Fuzzy Set-Valued Random Variables

Abstract

In this paper, we shall present weak and strong laws of large numbers (WLLN and SLLN) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff metric d H ∞ , based on the results of set-valued random variable obtained by Taylor and Inoue [34], [35]. This work is a continuation of [21].