Abstract:

In this paper a non-repairable multi-state system with imprecise probabilities and performance rates are taken, representing imprecise probabilities by interval valued probabilities. These intervals are evaluated by computing bound of interval valued ordinary differential equation of the system. For imprecise performance rates random fuzzy variables are introduced. The proposed method is based on hybrid universal generating function (universal generating function representation of random fuzzy variable) and probability intervals to incorporate the uncertainty problem in availability assessment of the system. Finally, availability p-boxes of the system have been evaluated along with a numerical example.