Title
Some inequalities and limit theorems for fuzzy random variables adopted with (alpha )-values of fuzzy numbers
Abstract
In this paper, some essential stochastic inequalities and several convergence theorems were investigated for fuzzy random variables. The classical counterpart relationship between the proposed convergence theorems was also discussed in the fuzzy environment. The main advantage of the proposed method is its minimal requirements for such limit theorems and inequalities compared to the conventional methods used in the fuzzy environments. The previous methods mostly rely on the lower and upper bounds of the $$\alpha $$-cuts of fuzzy random variables, while the proposed method utilizes a unified quantity called $$\alpha $$-value.
Year
DOI
Venue
2020
10.1007/s00500-019-04149-2
Soft Computing
Keywords
DocType
Volume
Fuzzy random variables, Convergence theorem, Inequality, -Values
Journal
24
Issue
ISSN
Citations 
5
1432-7643
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Gholamreza Hesamian16915.53
Mohammad Ghasem Akbari23112.04
Vahid Ranjbar300.34