SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES

Abstract

In this paper, the concepts of positive dependence and linearly<br />positive quadrant dependence are introduced for fuzzy random variables. Also,<br />an inequality is obtained for partial sums of linearly positive quadrant depen-<br />dent fuzzy random variables. Moreover, a weak law of large numbers is estab-<br />lished for linearly positive quadrant dependent fuzzy random variables. We<br />extend some well known inequalities to independent fuzzy random variables.<br />Furthermore, a weak law of large numbers for independent fuzzy random vari-<br />ables is stated and proved.