Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor

Abstract

      Fuzzy reliability in statistics is one of the important methods used in various aspects of life that are used in the event of questionable data accuracy, which leads to dealing with ambiguous observations expressed in ambiguous numbers. The use of classical estimation methods to estimate the parameters of the statistical model is not suitable for such observations, and the research problem is represented by the presence of fuzzy numbers known as the operating times of the magnetic resonance device until failure at Al-Rifai Hospital. The research aims to estimate the fuzzy reliability function for the first type of censored data for the Top Lion distribution of the magnetic resonance device at Al-Rifai Hospital for the period (1-3-2022, until 1-3-2024) through some estimation methods maximum likelihood function, partial estimates, Proposed method for estimating the frequency rate and choosing the best reliability based on the least Std. Deviation, and it was found that the fuzzy reliability of the sonar device is (79%) for every (42) days