Engineering analysis with probability boxes: A review on computational methods

MGR Faes, M Daub, S Marelli, E Patelli, M Beer - Structural Safety, 2021 - Elsevier
The consideration of imprecise probability in engineering analysis to account for missing,
vague or incomplete data in the description of model uncertainties is a fast-growing field of …

Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review

Z Zhang, C Jiang - Structural and Multidisciplinary Optimization, 2021 - Springer
Epistemic uncertainty widely exists in the early design stage of complex engineering
structures or throughout the full-life cycle of innovative structure design, which should be …

Structural reliability analysis on the basis of small samples: an interval quasi-Monte Carlo method

H Zhang, H Dai, M Beer, W Wang - Mechanical Systems and Signal …, 2013 - Elsevier
In practice, reliability analysis of structures is often performed on the basis of limited data.
Under this circumstance, there are practical difficulties in identifying unique distributions as …

40 years of Dempster-Shafer theory

T Denźux - International Journal of Approximate Reasoning, 2016 - dl.acm.org
40 years of Dempster-Shafer theory | International Journal of Approximate Reasoning skip to
main content ACM Digital Library home ACM home Google, Inc. (search) Advanced Search …

Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory

DA Alvarez, F Uribe, JE Hurtado - Mechanical Systems and Signal …, 2018 - Elsevier
Random set theory is a general framework which comprises uncertainty in the form of
probability boxes, possibility distributions, cumulative distribution functions, Dempster …

Reliability-oriented sensitivity analysis in presence of data-driven epistemic uncertainty

G Sarazin, J Morio, A Lagnoux, M Balesdent… - Reliability Engineering & …, 2021 - Elsevier
Reliability assessment in presence of epistemic uncertainty leads to consider the failure
probability as a quantity depending on the state of knowledge about uncertain input …

[HTML][HTML] Efficient reliability analysis of complex systems in consideration of imprecision

J Salomon, N Winnewisser, P Wei, M Broggi… - Reliability Engineering & …, 2021 - Elsevier
In this work, the reliability of complex systems under consideration of imprecision is
addressed. By joining two methods coming from different fields, namely, structural reliability …

Assessment of remaining service life of deteriorated concrete bridges under imprecise probabilistic information

J Alam, LAC Neves, H Zhang… - Mechanical Systems and …, 2022 - Elsevier
This paper proposes a framework for the reliability-based remaining service life prediction of
existing deteriorated structures considering both aleatory and epistemic uncertainties …

Uncertainty management in multidisciplinary design of critical safety systems

E Patelli, DA Alvarez, M Broggi, M Angelis - Journal of Aerospace …, 2015 - arc.aiaa.org
Managing the uncertainty in multidisciplinary design of safety-critical systems requires not
only the availability of a single approach or methodology to deal with uncertainty but a set of …

Reliability bounds through random sets: non-parametric methods and geotechnical applications

M Oberguggenberger, W Fellin - Computers & Structures, 2008 - Elsevier
Random sets form a well-established, general tool for modelling epistemic uncertainty in
engineering. They can be seen as encompassing probability theory, fuzzy sets and interval …