A Theorem for Fuzzy Random Alternating Renewal Processes

摘要

In this paper, a new kind of alternating renewal processes— fuzzy random alternating renewal processes—is devoted. A theorem on the limit value of the mean chance of the fuzzy random event "system is on at time t" is presented. The two degenerate cases of the theorem, stochastic and fuzzy cases, are also analyzed. The importance of the results lies in the fact that the relation between classical alternating renewal processes and fuzzy random alternating renewal processes is established.