LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF FUZZY SET-VALUED RANDOM VARIABLES-Reference-Cited by-同舟云学术

LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF FUZZY SET-VALUED RANDOM VARIABLES

Published:2004-12 Issue:06 Volume:12 Page:811-825
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

GUAN LI¹,LI SHOUMEI¹

Affiliation:

1. Department of Applied Mathematics, Beijing University of Technology, 100 Ping Le Yuan, Chao Yang District, Beijing, 100022, P. R. China

Abstract

In this paper, we shall present weak and strong laws of large numbers (WLLN's and SLLN's) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff metric [Formula: see text], based on the result of set-valued random variable obtained by Taylor and Inoue32,33. This work is a continuation of Li and Ogura20.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488504003223

Reference31 articles.

1. A Strong Law of Large Numbers for Random Compact Sets

2. Integrals of set-valued functions

3. A generalized strong law of large numbers

4. A Strong Limit Theorem for Random Sets

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Limit Theorem on Fuzzy Set-Valued Random Variables in Fuzzy Metric Space;Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery;2022

2. Law of large numbers for the sequence of uncorrelated fuzzy random variables;Journal of Intelligent & Fuzzy Systems;2021-12-16

3. A Note on Strong Laws of Large Numbers for Dependent Random Sets and Fuzzy Random Sets;Journal of Inequalities and Applications;2010

4. Capacities, Set-Valued Random Variables and Laws of Large Numbers for Capacities;Advances in Intelligent and Soft Computing;2010

5. Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets;Fuzzy Sets and Systems;2008-12