Title : ( SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES )
Authors: H. Ahmadzade , Mohammad Amini , S. M.Taheri , Abolghasem Bozorgnia ,
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Abstract
In this paper, the concepts of positive dependence and linearly positive quadrant dependence are introduced for fuzzy random variables. Also, an inequality is obtained for partial sums of linearly positive quadrant dependent fuzzy random variables. Moreover, a weak law of large numbers is established for linearly positive quadrant dependent fuzzy random variables. We extend some well known inequalities to independent fuzzy random variables. Furthermore, a weak law of large numbers for independent fuzzy random variables is stated and proved.
Keywords
, Fuzzy random variable, Linearly Positive Quadrant Dependence, Independence, Law of Large Numbers.
@article{paperid:1063850,
author = {H. Ahmadzade and Amini, Mohammad and S. M.Taheri and Bozorgnia, Abolghasem},
title = {SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES},
journal = {Iranian Journal of Fuzzy Systems},
year = {2017},
volume = {14},
number = {6},
month = {December},
issn = {1735-0654},
pages = {119--134},
numpages = {15},
keywords = {Fuzzy random variable; Linearly Positive Quadrant Dependence; Independence; Law of Large Numbers.},
}
%0 Journal Article
%T SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES
%A H. Ahmadzade
%A Amini, Mohammad
%A S. M.Taheri
%A Bozorgnia, Abolghasem
%J Iranian Journal of Fuzzy Systems
%@ 1735-0654
%D 2017
