Structural reliability analysis for p-boxes using multi-level meta-models
In modern engineering, computer simulations are a popular tool to analyse, design, and
optimize systems. Furthermore, concepts of uncertainty and the related reliability analysis …
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
A generalised uncertainty quantification framework for resilience assessment of weather-
coupled, repairable power grids is presented. The framework can be used to efficiently …
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
Random set theory is a general framework which comprises uncertainty in the form of
probability boxes, possibility distributions, cumulative distribution functions, Dempster …
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 …
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
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 …
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 …
probabilistic uncertainty and non-probabilistic imprecision. It provides a theoretical basis to …
Augmented first-order reliability method for estimating fuzzy failure probabilities
This paper presents an approach for estimating the fuzzy failure probability associated with
reliability problems where uncertainty is characterized through random variables whose …
reliability problems where uncertainty is characterized through random variables whose …
Reliability analysis of structures with interval uncertainties under stationary stochastic excitations
Reliability analysis of linear discretized structural systems with interval uncertainties
subjected to stationary Gaussian random excitation is addressed. Under the assumption of …
subjected to stationary Gaussian random excitation is addressed. Under the assumption of …
Uncertainty management in multidisciplinary design of critical safety systems
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 …
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
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 …
infinite number of focal elements. It can be used for the estimation of the bounds of the …