SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES
Author(s):
Article Type:
Research/Original Article (بدون رتبه معتبر)
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 depen-
dent fuzzy random variables. Moreover, a weak law of large numbers is estab-
lished 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 vari-
ables is stated and proved.
positive quadrant dependence are introduced for fuzzy random variables. Also,
an inequality is obtained for partial sums of linearly positive quadrant depen-
dent fuzzy random variables. Moreover, a weak law of large numbers is estab-
lished 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 vari-
ables is stated and proved.
Keywords:
Language:
English
Published:
Iranian journal of fuzzy systems, Volume:14 Issue: 6, Nov-Dec 2017
Pages:
119 to 134
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