Wencai Sun1, ∗, Zichun Yang1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.1, pp. 309-332, 2020, DOI:10.32604/cmes.2020.08386
Abstract It is very difficult to know the exact boundaries of the variable domain for
problems with small sample size, and the traditional convex set model is no longer
applicable. In view of this, a novel reliability model was proposed on the basis of the
fuzzy convex set (FCS) model. This new reliability model can account for different
relations between the structural failure region and variable domain. Key computational
algorithms were studied in detail. First, the optimization strategy for robust reliability is
improved. Second, Monte Carlo algorithms (i.e., uniform sampling method) for
hyper-ellipsoidal convex sets were studied in detail, and errors… More >
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