Bayes Estimator For The Reliability Based on Fuzzy Life Time Data
Keywords:
fuzzy reliability function , membership function , Squared Error Loss Function, Pareto distribution , Gamma distributionAbstract
In this paper, Bayes method was used to estimate the reliability function when life-time data is fuzzy, where the case was studied the sample data is fuzzy and the prior distribution contains non- fuzzy parameters by using the squared error loss function with three states of the cut-off level values (α). This was applied in the textile department of the Wasit Knitting and Weaving Factory to estimate the function of fuzzy reliability of the machines. The paper conclud that the estimated values of fuzzy reliability function increase when increasing the degree of membership as will as the sample size were increased.
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