Abstract:
In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.
Description:
S. Li, Q. Shen, W. Tang and R. Zhao. Random fuzzy delayed renewal processes. Soft Computing, 13(7):681-690, 2009. Sponsorship: EPSRC
