Epistemic uncertainty quantification techniques including evidence theory for large-scale structures

By Ha-Rok Bae, Ramana V. Grandhi, R. Canfield. 2004

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Unified Uncertainty Analysis by the First Order Reliability Method (2008, background): “Several examples include (1) studies on the relationships and differences between probability and non-probability theories [21, 22]; (2) study on bounding the value of information with epistemic distribution parameters [23]; (3) optimization design by possibility and evidence theory [24, 25]; (4) se”
Structural reliability analysis using a copula-function-based evidence theory model (2014, methodology): “[35,36] proposed a computational method to efficiently solve the structural reliability problem with evidence variables.”
Sequential Optimization and Mixed Uncertainty Analysis Method for Reliability-Based Optimization (2013, background): “1 Illustration of belief and plausibility [12].”
Gradient projection for reliability-based design optimization using evidence theory (2008, background): “(2004a) has shown how evidence theory can be used in the design of aerospace structures.”
An efficient method for reliability analysis under epistemic uncertainty based on evidence theory and support vector regression (2015, methodology): “Although some approximation methods have been developed to alleviate the computational burden (Bae, Grandhi, and Canfield 2004a, 2004b; Jiang et al. 2013), the evaluation of extreme values of the approximate limit-state function still needs to be conducted over each of all the focal elements.”