E-Bayesian and Hierarchical Bayesian estimations for System Reliability under uncertainly environment

The main purpose of this paper is to provide a methodology for discussing the fuzzy. Actually we discuss on the fuzzy E-Bayesian estimation of system reliability. This approach will be used to create the fuzzy E-Bayesian and Hierarchical Bayesian estimations of system reliability by introducing and applying a theorem called “Resolution Identity” for fuzzy sets. In other words, model parameters are assumed to be fuzzy random variables. We also use computational methods Wu (۲۰۰۴). For this purpose, the original problem is transformed into a nonlinear programming problem which is then divided up into four sub-problems to simplify computations. Finally, the results obtained for the sub-problems can be used to determine the membership functions of the fuzzy E-Bayesian and Hierarchical Bayesian estimations of system reliability. A practical examples are provided to clarify the proposed approach.

کلیدواژه ها:

E-Bayesian estimation ، Hierarchical Bayesian estimation ، System reliability ، Fuzzy real numbers