An Evaluation of the Systems Reliability Using Fuzzy Lifetime Distribution

In this paper we consider the problem of the evaluation of system reliability, in which the lifetimes of components are described using a fuzzy exponential distribution. Formula of a fuzzy reliability function and its ?-cut set are presented. The fuzzy reliability of structures is defined on the basis of fuzzy number. Furthermore, the fuzzy reliability functions of -out-of- system, series systems and parallel systems and their FMTTF are discussed, respectively. Finally, some numerical examples are presented to illustrate how to calculate the fuzzy reliability function and its cut set.