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An efficient structural uncertainty propagation method based on evidence domain analysis
16 references·2 citing·36 second hop
An efficient structural uncertainty propagation method based on evidence domain analysis (2019)An efficient structural uncertainty propa…Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters (2017)Novel reliability-based optim…A hybrid self-adaptive conjugate first order reliability method for robust structural reliability analysis (2017)A hybrid self-adaptive conjug…First and second order approximate reliability analysis methods using evidence theory (2015)First and second order approx…A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)A novel evidence-theory-based…Structural reliability analysis using non-probabilistic convex model (2012)Structural reliability analys…Probabilistic interval analysis for structures with uncertainty (2010)Probabilistic interval analys…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …Sensitivity Analysis with Mixture of Epistemic and Aleatory Uncertainties (2007)Sensitivity Analysis with Mix…Uncertainty quantification using evidence theory in multidisciplinary design optimization (2004)Uncertainty quantification us…Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Epistemic uncertainty quantif…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…Uncertainty Quantification of Structural Response Using Evidence Theory (2003)Uncertainty Quantification of…Investigation of Evidence Theory for Engineering Applications (2002)Investigation of Evidence The…Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability (1994)Propagation of Uncertainty in…Nonprobabilistic, convex-theoretic modeling of scatter in material properties (1994)Nonprobabilistic, convex-theo…A regular-vine copula-based evidence theory model for structural reliability analysis involving multidimensional parameter correlation (2025)A regular-vine copula-based e…A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems (2021)A non-probabilistic uncertain…Fuzzy sets (1965)Fuzzy sets (1996)Combination of Evidence in Dempster-Shafer Theory (2002)Reliability sensitivity analysis with random and interval variables (2009)Risk evaluation in failure mode and effects analysis of aircraft turbine rotor blades using Dempster–Shafer evidence theory under uncertainty (2011)Exact and Invariant Second-Moment Code Format (1974)A mathematical theory of evidence (1977)Structural reliability under combined random load sequences (1978)Structural reliability analysis for p-boxes using multi-level meta-models (2017)Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation (2019)Non-intrusive stochastic analysis with parameterized imprecise probability models: II. Reliability and rare events analysis (2019)Fuzzy Set Theory and Its Applications (1993)Advances in the Dempster-Shafer theory of evidence (1994)Fault and Event Tree Analyses for Process Systems Risk Analysis: Uncertainty Handling Formulations (2010)Risk analysis for oil & gas pipelines: A sustainability assessment approach using fuzzy based bow-tie analysis (2011)On The Quantitative Definition of Risk (1981)Different methods are needed to propagate ignorance and variability (1996)Decision Making in Health and Medicine: Integrating Evidence and Values (2001)Error and uncertainty in modeling and simulation (2002)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)Uncertainties in risk analysis: Six levels of treatment (1996)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Imprecise probabilities in engineering analyses (2013)Narrow Reliability Bounds for Structural Systems (1979)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)Long-Term Memory in Stock Market Prices (1991)Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis (2015)Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data (2011)Measuring reliability under epistemic uncertainty: Review on non-probabilistic reliability metrics (2016)A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities (2018)
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References

  • 1994Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability701 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization324 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2012Structural reliability analysis using non-probabilistic convex model219 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures194 cited
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • 2013A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty151 cited
  • 2015First and second order approximate reliability analysis methods using evidence theory145 cited
  • 1994Nonprobabilistic, convex-theoretic modeling of scatter in material properties131 cited
  • 2007Sensitivity Analysis with Mixture of Epistemic and Aleatory Uncertainties129 cited
  • 2017Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters124 cited
  • 2017

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A hybrid self-adaptive conjugate first order reliability method for robust structural reliability analysis
116 cited
  • 2002Investigation of Evidence Theory for Engineering Applications106 cited
  • 2003Uncertainty Quantification of Structural Response Using Evidence Theory87 cited
  • Cited by

    • 2025A regular-vine copula-based evidence theory model for structural reliability analysis involving multidimensional parameter correlation15 cited
    • 2021A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems13 cited