Abstract
One of the important things provided by the fuzzy model is the determination of the membership function. It is used in applications with the fuzzy reliability functions. These functions of distributions are with positive random variables. There are many belonging functions that have been studied by many researchers. The most used Functions are the trigonometric membership function and Trapezoidal membership function. In this paper, a beta membership function has been used, because it is more flexible in statistical applications. It is adopted in this research to study the classical method of obtaining estimation of the fuzzy reliability function of the new mixed distribution (Weibull-Raleigh-Exponential). A simulation method will be used to choose the best fuzzy value for this new mixed distribution.
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