Fuzzy structural analysis based on fundamental reliability concepts

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Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory (2018, methodology): “…the curse of dimensionality, alternative approaches, such as the sampling method, the vertex method, the function approximation method, interval arithmetic or the approach proposed in Hurtado et al. (2012) are usually employed in order to reduce the computational load (see e.g. Alvarez (2007)).”
An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs (2014, methodology): “The proposed approach is based on a property of FORM [48], which consists in that the design point vector points to a direction of steep evolution of the limit state function [49–51].”