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An efficient epistemic uncertainty analysis method using evidence theory
16 references·10 citing·39 second hop
An efficient epistemic uncertainty analysis method using evidence theory (2018)An efficient epistemic uncertainty analys…Risk evaluation in failure mode and effects analysis of aircraft turbine rotor blades using Dempster–Shafer evidence theory under uncertainty (2011)Risk evaluation in failure mo…Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Mixed aleatory-epistemic unce…Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Correlation analysis of non-p…Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations (2005)Uncertainty Analysis by Dimen…Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Epistemic uncertainty quantif…An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)An exploration of alternative…An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)An exploration of alternative…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…Constructing Probability Boxes and Dempster-Shafer Structures (2003)Constructing Probability Boxe…A comparative study on reliability-index and target-performance-based probabilistic structural design optimization (2002)A comparative study on reliab…Mathematical representation of uncertainty (2001)Mathematical representation o…Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…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…Advances in the Dempster-Shafer theory of evidence (1994)Advances in the Dempster-Shaf…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A new probabilistic transformation technique for evidence-theory-based structural reliability analysis (2025)A new probabilistic transform…Structural reliability analysis with parametric p-box uncertainties via a Bayesian updating BDRM (2024)Structural reliability analys…Hybrid uncertainty propagation for mechanical dynamics problems via polynomial chaos expansion and Legendre interval inclusion function (2024)Hybrid uncertainty propagatio…Hybrid interval model for uncertainty analysis of imprecise or conflicting information (2024)Hybrid interval model for unc…A Kriging-assisted adaptive improved cross-entropy importance sampling method for random-interval hybrid reliability analysis (2024)A Kriging-assisted adaptive i…Evidence-Theory-Based Reliability Analysis From the Perspective of Focal Element Classification Using Deep Learning Approach (2023)Evidence-Theory-Based Reliabi…Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model (2021)Evidence-Theory-Based Reliabi…An improved first order approximate reliability analysis method for uncertain structures based on evidence theory (2021)An improved first order appro…A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems (2021)A non-probabilistic uncertain…An iteration method for predicting static response of nonlinear structural systems with non-deterministic parameters (2018)An iteration method for predi…Judgment Under Uncertainty: Heuristics and Biases. 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this work references cited by second hop

References

  • 1994Advances in the Dempster-Shafer theory of evidence1,022 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 2003Constructing Probability Boxes and Dempster-Shafer Structures745 cited
  • 1994Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability701 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions362 cited
  • 2011Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique306 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions284 cited
  • 2002A comparative study on reliability-index and target-performance-based probabilistic structural design optimization253 cited
  • 2011Risk evaluation in failure mode and effects analysis of aircraft turbine rotor blades using Dempster–Shafer evidence theory under uncertainty214 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited

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  • 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures194 cited
  • 2011Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation192 cited
  • 2005Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations161 cited
  • Cited by

    • 2021Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model34 cited
    • 2021An improved first order approximate reliability analysis method for uncertain structures based on evidence theory34 cited
    • 2024Hybrid interval model for uncertainty analysis of imprecise or conflicting information33 cited
    • 2025A new probabilistic transformation technique for evidence-theory-based structural reliability analysis28 cited
    • 2018An iteration method for predicting static response of nonlinear structural systems with non-deterministic parameters22 cited
    • 2024Hybrid uncertainty propagation for mechanical dynamics problems via polynomial chaos expansion and Legendre interval inclusion function21 cited
    • 2023Evidence-Theory-Based Reliability Analysis From the Perspective of Focal Element Classification Using Deep Learning Approach17 cited
    • 2024A Kriging-assisted adaptive improved cross-entropy importance sampling method for random-interval hybrid reliability analysis17 cited
    • 2021A non-probabilistic uncertainty analysis method based on ellipsoid possibility model and its applications in multi-field coupling systems13 cited
    • 2024Structural reliability analysis with parametric p-box uncertainties via a Bayesian updating BDRM12 cited