Strong laws of large numbers for independent fuzzy set-valued random variables

In this paper, we shall present strong laws of large numbers (SLLN's) for independent (not necessary identically distributed) fuzzy set-valued random variables whose base space is a separable Banach space or an Euclidean space, in the sense of the extended Hausdorff metric d H . We apply the method to the sequence of independent identically distributed fuzzy set-valued random variables to give a simple proof of SLLN's.

• Type: Journal
• Year: 2006
• Where: FSS
• Authors: Shoumei Li, Yukio Ogura
• Keywords: FSS 2006, Fuzzy Set-valued Random, Identically Distributed, Separable Banach Space