Reliability Estimation under the Fuzzy Environments


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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ISRP Style

Ezzatallah Baloui Jamkhaneh, Reliability Estimation under the Fuzzy Environments, Journal of Mathematics and Computer Science, 5 (2012), no. 1, 28-39

AMA Style

Jamkhaneh Ezzatallah Baloui, Reliability Estimation under the Fuzzy Environments. J Math Comput SCI-JM. (2012); 5(1):28-39

Chicago/Turabian Style

Jamkhaneh, Ezzatallah Baloui. "Reliability Estimation under the Fuzzy Environments." Journal of Mathematics and Computer Science, 5, no. 1 (2012): 28-39


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