Abstract
Nondeterministic variables of certain distributions are employed to represent uncertain lifetimes and repair times in repairable systems, which are usually treated as stochastic variables and the probability distributions of the stochastic variables have crisp parameters. However, in practice, the parameters may not be precisely represented due to a lack of sufficient data. The main purpose of this paper is to apply the random fuzzy theory to the establishment of repairable coherent system models. Then the expressions of limiting availability and steady state failure frequency of the random fuzzy coherent systems are proposed, respectively. Finally, some numerical examples are given for illustration.
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