System reliability prediction can be needed when detailed data concerning each component are unavailable. This prevents data from various sources from being integrated by considering each source as a sample from the same population. For the Weibull distribution, fuzzy arithmetic is used to synthesize a single fuzzy probability distribution for a component from several possible distributions by considering particular features that map to the Weibull parameters. The use of fuzzified probabilities in fault trees has been considered by others; once the fuzzy component failure probabilities have been calculated, a fuzzy system reliability distribution can be obtained which portrays the inexact nature of the data on which the result is based.
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