Reliability Estimation under the Fuzzy Environments

Volume 5, Issue 1, pp 28-39 http://dx.doi.org/10.22436/jmcs.05.01.04

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Authors

Ezzatallah Baloui Jamkhaneh - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.

Abstract

This paper proposes new methods for fuzzy reliability estimation where lifetime random variables have a distribution function with fuzzy parameter. First, a fuzzy estimation is constructed for the parameter. Then, using such a fuzzy estimation, a fuzzy reliability estimation is constructed. In first method, we used Buckley method with precise observation. In secound one we uesd fuzzy point estimation with fuzzy observation. In third method, using a fuzzy estimation of mean time to failure (MTTF), we constructed a fuzzy confidence bound and a fuzzy confidence band for reliability function for a given \(t_0\) and for a given \(\alpha_0\) respectively. This method has been used in lifetime distributions as fuzzy normal distribution, fuzzy exponential distribution and fuzzy Weibull distribution.

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Keywords

• Fuzzy reliability function
• Fuzzy estimation
• Fuzzy confidence bound
• Fuzzy confidence band.

MSC

•  90B25
•  62N05
•  62N86

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