Abstract
A discrete time repairable multi-state series-parallel system with fuzzy data is considered. The lifetimes and the repair times of the system components are assumed to be geometrically distributed random variables with fuzzy parameters, and the performance levels of the system components are presented as fuzzy values. Fuzzy set theory is employed to deal with the uncertain problem of the system. A discrete time fuzzy Markov model is proposed to assess the fuzzy state probability of binary component. The fuzzy universal generating function technique is adopted to evaluate fuzzy state probability and fuzzy performance level of the entire system. An availability assessment approach is proposed to compute the dynamic fuzzy availability of the system with the fuzzy consumer demand. Based on the extension principle, the α-cuts of some indices for the system are obtained by using parametric programming technique. Finally, a numerical example is presented.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
