Fuzzy Set-Valued Random Variables

2002 ◽  
pp. 161-190
Author(s):  
Shoumei Li ◽  
Yukio Ogura ◽  
Vladik Kreinovich
Keyword(s):  
Fuzzy Set ◽  
Random Variables

Strong laws of large numbers for independent fuzzy set-valued random variables

2006 ◽  
Vol 157 (19) ◽  
pp. 2569-2578 ◽  
Author(s):  
Shoumei Li ◽  
Yukio Ogura
Keyword(s):  
Fuzzy Set ◽  
Random Variables ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers

scholarly journals Limit Theorems for Negatively Dependent Fuzzy Set-Valued Random Variables

2016 ◽  
Vol 6 (1) ◽  
pp. 40
Author(s):  
Li Guan
Keyword(s):  
Fuzzy Set ◽  
Limit Theorems ◽  
Random Variables

In this paper, we shall discuss negatively dependent fuzzy set-valued random variables. And at last, we shall prove the limit theorems for rowwise negatively dependent fuzzy set-valued random variables in the sense of $d_H^\infty$, which is the extension of (Guan \& Sun, 2014) and (Guan \& Wan, 2016).

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

2004 ◽  
Vol 12 (06) ◽  
pp. 811-825 ◽  
Author(s):  
LI GUAN ◽  
SHOUMEI LI
Keyword(s):  
Fuzzy Set ◽  
Hausdorff Metric ◽  
Random Variables ◽  
Random Variable ◽  
Weighted Sums ◽  
Laws Of Large Numbers ◽  
Strong Laws ◽  
Large Numbers

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.

scholarly journals A decomposition theorem for fuzzy set-valued random variables

2013 ◽  
Vol 219 ◽  
pp. 98-112 ◽  
Author(s):  
Giacomo Aletti ◽  
Enea G. Bongiorno
Keyword(s):  
Fuzzy Set ◽  
Random Variables ◽  
Decomposition Theorem
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