ESTIMATING THE FUZZY INEQUALITY ASSOCIATED WITH A FUZZY RANDOM VARIABLE IN RANDOM SAMPLINGS FROM FINITE POPULATIONS

In a recent paper we have introduced the fuzzy hyperbolic inequality i ndex, to quantify the inequality associated with a fuzzy random variab le in a finite population. In previous papers, we have also proven tha t the classical hyperbolic inequality index associated with real-value d random variables in finite populations can be unbiasedly estimated i n random samplings. The aim of this paper is to analyze the problem of estimating the population fuzzy hyperbolic index associated with a fu zzy random variable in random samplings from finite populations. This analysis will lead us to conclude that an unbiased (up to additive equ ivalences) estimator of the population fuzzy hyperbolic inequality ind ex can be constructed on the basis of the sample index and the expecte d value of the values fuzzy hyperbolic inequality in the sample.