Estimation of the Fuzzy Reliability of a Mixed Distribution (Weibull-Rayleigh)
Keywords:
Weibull-Rayleigh, fuzzy reliability, Estimation workAbstract
The Weibull-Rayleigh distribution is a proposed mixed distribution that combines the Weibull and Rayleigh single distributions using a parameter known as the mixing ratio parameter. It is distinguished by flexibility, efficiency, and preference. This research identified a modern idea, which is the proposed new distribution (Weibull-Rayleigh), about the unusual distributions in the data visualization. In addition, failure times, which are primarily random with some fuzzy elements mixed in and expressed as fuzzy numbers, were studied. In this research, the fuzzy reliability function had been estimated for these failure times under specific ranges of affiliation to fuzzy groups, and the statistical measure of average square error was used to compare the reliability estimation techniques.
The Weibull and Rayleigh distributions, which are single distributions, are the distributions which have been testeted by using the mixing parameter. This led to the creation of the mixed distribution (Weibull -Rayleigh), from which the best estimate of fuzzy dependability was selected after using the three estimation methods, the method of greatest possibility, the method of moments, and the method of partial estimates.
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