On Chung's type law of large numbers for fuzzy random variables

Let {Xnn[greater-or-equal, slanted]1} be a sequence of independent fuzzy random variables and {ann[greater-or-equal, slanted]1} a sequence of positive real numbers converging to [infinity]. In this paper we show that, under the assumption with some restrictions on [phi], a.s. if and only if in probability if and only if in L1 where . This will generalize earlier results of strong law of large numbers for random elements in a Banach space (Choi and Sung (1988). Bull. Austral. Math. Soc. 37, 93-100).