Title: A strong law of large numbers of fuzzy set-valued random variables with slowly varying weights

Authors: Li Guan, Shoumei Li, Yukio Ogura

Addresses: Department of Applied Mathematics, Beijing University of Technology, China, 100 Pingleyuan, Chaoyang District, Beijing 100124, P.R. China. ' Department of Applied Mathematics, Beijing University of Technology, China, 100 Pingleyuan, Chaoyang District, Beijing 100124, P.R. China. ' Department of Mathematics, Saga University, Saga 840-8502, Japan

Abstract: In this paper, we shall present a strong law of large numbers (SLLN) of fuzzy set-valued random variables with slowly varying weights in the sense of the extended Hausdorff metric d∞H, which implies some of results in Fu and Zhang (2007).

Keywords: fuzzy sets; fuzzy logic random variables; strong law of large numbers; extended Hausdorff metric; slowly varying weights; SLLN.

DOI: 10.1504/IJAAC.2008.022187

International Journal of Automation and Control, 2008 Vol.2 No.2/3, pp.365 - 375

Published online: 22 Dec 2008 *

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