Some applications of random fuzzy alternating renewal processes based on fuzzy simulation

Abstract

This paper studies an alternating renewal process when {\it on-off} times are random fuzzy variables. We provide a theorem concerning the long-term average expected service times of customers. Here, we do not use the $\alpha_{0}$-pessimistic value and the $\alpha_{0}$-optimistic value of fuzzy variables, we simulate the expected value of random fuzzy variables based on fuzzy simulation to calculate the long-term average expected service times of customers per unit time. Some examples is provided to illustrate the results.