Structural reliability analysis for p-boxes using multi-level meta-models

R Schöbi, B Sudret - Probabilistic Engineering Mechanics, 2017 - Elsevier
In modern engineering, computer simulations are a popular tool to analyse, design, and
optimize systems. Furthermore, concepts of uncertainty and the related reliability analysis …

A power-flow emulator approach for resilience assessment of repairable power grids subject to weather-induced failures and data deficiency

R Rocchetta, E Zio, E Patelli - Applied energy, 2018 - Elsevier
A generalised uncertainty quantification framework for resilience assessment of weather-
coupled, repairable power grids is presented. The framework can be used to efficiently …

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 …

[PDF][PDF] COSSAN: a multidisciplinary software suite for uncertainty quantification and risk management

E Patelli, R Ghanem, D Higdon… - Handbook of uncertainty …, 2016 - researchgate.net
Computer-aided modelling and simulation is now widely recognised as the third 'leg 'of
scientific method, alongside theory and experimentation. Many phenomena can be studied …

Fuzzy probability theory

M Beer - Granular, Fuzzy, and Soft Computing, 2023 - Springer
Fuzzy probability theory is an extension to probability theory to dealing with a mix of
probabilistic uncertainty and non-probabilistic imprecision. It provides a theoretical basis to …

Augmented first-order reliability method for estimating fuzzy failure probabilities

MA Valdebenito, X Yuan, MGR Faes - Structural Safety, 2023 - Elsevier
This paper presents an approach for estimating the fuzzy failure probability associated with
reliability problems where uncertainty is characterized through random variables whose …

Reliability analysis of structures with interval uncertainties under stationary stochastic excitations

G Muscolino, R Santoro, A Sofi - Computer Methods in Applied Mechanics …, 2016 - Elsevier
Reliability analysis of linear discretized structural systems with interval uncertainties
subjected to stationary Gaussian random excitation is addressed. Under the assumption of …

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 …

Tighter bounds on the probability of failure than those provided by random set theory

DA Alvarez, JE Hurtado, J Ramírez - Computers & Structures, 2017 - Elsevier
Random set theory is a generalization of Dempster-Shafer evidence theory, that employs an
infinite number of focal elements. It can be used for the estimation of the bounds of the …