Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 286862, 10 pages
doi:10.1155/2010/286862
Research Article

A Note on Strong Laws of Large Numbers for Dependent Random Sets and Fuzzy Random Sets

Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China

Received 16 August 2009; Accepted 7 February 2010

Academic Editor: Andrei Volodin

Copyright © 2010 Ke-Ang Fu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper deals with a sequence of identically distributed random sets or fuzzy random sets with φ(φ)-mixing dependence in a separable Banach space. The strong laws of large numbers for these two sequences are derived under Kuratowski-Mosco sense.