مقدر بيز لدالة المعولية الضبابية لتوزيع رالي الاسي، باستخدام المحاكاة

Abstract

This paper aims at estimating the Fuzzy Reliability Function by adopting the minimum value of fuzzy set belonging degree when every element in the fuzzy sample does not have a minimum and maximum limit but the fuzzy set as a whole has a minimum limit that represents the start of a lifetime and a maximum limit that represents the end of a lifetime, through both of which we can determine of belonging degree for every value of fuzzy samples values. Two values of λ were taken, which were (λ=2, 1.3), and primary values of two primary distribution markers (v=b=3 – v=1,b=4 – v=2,b=1, five parts of the minimum limit of belonging degree which are (α= 0.1, 0.3,0.5,0.7,0.9) were selected as well, with different sample volumes n=(10,25,50,75,100), with frequency of 1000, time period was taken to estimate Fuzzy Reliability function (a. t1=1, t2=3 – b. t1=2, t2=5), by using Bayes method to estimate Reliability function to identify the best method for estimating Fuzzy Reliability function. We have found that Bayes first method was best for most of α value