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Using random set theory to propagate epistemic uncertainty through a mechanical system
2 references·16 citing·47 second hop
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this work references cited by second hop

References

  • 2002Combination of Evidence in Dempster-Shafer Theory1,096 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited

Cited by

  • 2017Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory88 cited
  • 2006On the calculation of the bounds of probability of events using infinite random sets85 cited
  • 2010Uncertainty analysis using evidence theory – confronting level-1 and level-2 approaches with data availability and computational constraints78 cited
  • 2013Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation76 cited
  • 2012Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties72 cited
  • 2017Uncertainty propagation of p-boxes using sparse polynomial chaos expansions72 cited
  • 2004Representation and problem solving with Distribution Envelope Determination (DEnv)64 cited
  • 2013Literature review of methods for representing uncertainty55 cited
  • 2013Hierarchical propagation of probabilistic and non-probabilistic uncertainty in the parameters of a risk model47 cited
  • 2020A novel model used for assessing supply chain sustainability integrating the ANP and ER approaches and its application in marine ranching45 cited
  • 2014An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs

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43 cited
  • 2021Reliability-oriented sensitivity analysis in presence of data-driven epistemic uncertainty38 cited
  • 2016Uncertainty analysis of a structural–acoustic problem using imprecise probabilities based on p-box representations37 cited
  • 2016Probability box as a tool to model and control the effect of epistemic uncertainty in multiple dependent competing failure processes32 cited
  • 2012Structural analysis with probability-boxes31 cited
  • 2015Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters31 cited