Fuzzy Information and Engineering, Volume (3), No (4), Year (2011-12) , Pages (351-358)

Title : ( A Fuzzy Bootstrap Test for the Mean with Dp,q-distance )

Authors: Bahram Sadeghpour Gildeh , Sedigheh Rahimpour ,

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In this paper, we consider the problem of testing a simple hypothesis about the mean of a fuzzy random variable. For this purpose, we take a distance between the sample mean and the mean in the null hypothesis as a test statistic. An asymptotic test about the fuzzy mean is obtained by using a central limit theorem. The asymptotical distribution is ω 2-distribution. The ω 2-distribution is only known for special cases, thus we have considered random LR-fuzzy numbers. In the fuzzy concept, in addition to the existence of several versions of the central limit theorem, there is another practical disadvantage: The limit law is, in most cases, difficult to handle. Therefore, the central limit theorem for fuzzy random variable does not seem to be a very useful tool to make inferences on the mean of fuzzy random variable. Thus we use the bootstrap technique. Finally, by means of a simulation study, we show that the bootstrap method is a powerful tool in the statistical hypothesis testing about the mean of fuzzy random variables.


, Bootstrap sampling · Fuzzy random variable · Dp, q-distance · LR-fuzzy numbers
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author = {Sadeghpour Gildeh, Bahram and Sedigheh Rahimpour},
title = {A Fuzzy Bootstrap Test for the Mean with Dp,q-distance},
journal = {Fuzzy Information and Engineering},
year = {2011},
volume = {3},
number = {4},
month = {December},
issn = {1616-8658},
pages = {351--358},
numpages = {7},
keywords = {Bootstrap sampling · Fuzzy random variable · Dp;q-distance · LR-fuzzy numbers},


%0 Journal Article
%T A Fuzzy Bootstrap Test for the Mean with Dp,q-distance
%A Sadeghpour Gildeh, Bahram
%A Sedigheh Rahimpour
%J Fuzzy Information and Engineering
%@ 1616-8658
%D 2011