Id. Roberts et Ae. Samuel, THE USE OF IMPRECISE COMPONENT RELIABILITY DISTRIBUTIONS IN RELIABILITY CALCULATIONS, IEEE transactions on reliability, 45(1), 1996, pp. 141-144
System-reliability prediction can be needed when detailed data concern
ing each component are unavailable. This prevents data from various so
urces from being integrated by considering each source as a sample fro
m the same population. For the Weibull distribution, fuzzy arithmetic
is used to synthesize a single fuzzy probability distribution for a co
mponent from several possible distributions by considering particular
features that map to the Weibull parameters. The use of fuzzified prob
abilities 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 na
ture of the data on which the result is based.