40 years of Dempster-Shafer theory

T Denźux - International Journal of Approximate Reasoning, 2016 - dl.acm.org
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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 …

[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 …

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 …

The Bhattacharyya distance: Enriching the P-box in stochastic sensitivity analysis

S Bi, M Broggi, P Wei, M Beer - Mechanical Systems and Signal Processing, 2019 - Elsevier
The tendency of uncertainty analysis has promoted the transformation of sensitivity analysis
from the deterministic sense to the stochastic sense. This work proposes a stochastic …

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 …

Explaining the impact of source behaviour in evidential reasoning

P Kowalski, M Zocholl, AL Jousselme - Information Fusion, 2022 - Elsevier
Explanation abilities are required for data-driven models, where the high number of
parameters may render its internal reasoning opaque to users. Despite the natural …

Global sensitivity analysis and Wasserstein spaces

JC Fort, T Klein, A Lagnoux - SIAM/ASA Journal on Uncertainty Quantification, 2021 - SIAM
Sensitivity indices are commonly used to quantify the relative influence of any specific group
of input variables on the output of a computer code. In this paper, we focus both on computer …

Second‐level global sensitivity analysis of numerical simulators with application to an accident scenario in a sodium‐cooled fast reactor

A Meynaoui, A Marrel, B Laurent - Quality and Reliability …, 2023 - Wiley Online Library
Numerical simulators are widely used to model physical phenomena and global sensitivity
analysis (GSA) aims at studying the global impact of the input uncertainties on the simulator …

How to randomly generate mass functions

T Burger, S Destercke - International Journal of Uncertainty …, 2013 - World Scientific
As Dempster–Shafer theory spreads in different application fields, and as mass functions are
involved in more and more complex systems, the need for algorithms randomly generating …