Redundancy optimization problems with uncertainty of combining randomness and fuzziness

By using random fuzzy lifetimes as basic parameters, three types of system performance – expected system lifetime, (α,β)-system lifetime and system reliability – are presented. Some random fuzzy simulations are employed to estimate the system performance. Furthermore, a spectrum of random fuzzy models are constructed for redundancy optimization problems. In order to solve these models, a hybrid intelligent algorithm is used. Finally, some numerical examples are provided for the sake of illustration.