Reliability Analysis of Three Elements Series and Parallel Systems under Time-varying Fuzzy Failure Rate


1 mathematics, faculty of science

2 Mathematics, Tanta University


Reliability is the most important performance issue in the engineering design process but in the real world problems, there are limitations for using the conventional reliability. Fuzzy logic has proved to be effective in expressing uncertainties in different fields, including reliability engineering. In this paper, For both the series and parallel systems composed of three identical or different elements, The reliability has been analyzed using the fuzzy concepts and some characteristics such as the mean time to failure have been evaluated, taking in our account that all the operating units have increasable time varying failure rates with fuzzy triangular membership functions. This paper includes a numerical example to illustrate the model and validate the analytical results.