On Marcinkiewicz's Type Law for Fuzzy Random Sets

Abstract

In this paper, we will obtain Marcinkiewicz's type limit laws for fuzzy random sets as follows : Let {Xn|n ≥ 1} be a sequence of independent identically distributed fuzzy random sets and E∥X i ∥ r ρp < ∞ with 1 ≤ r ≤ 2. Then the following are equivalent: Sn/n