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An extended probabilistic method for reliability analysis under mixed aleatory and epistemic uncertainties with flexible intervals
16 references·0 citing·40 second hop
An extended probabilistic method for reliability analysis under mixed aleatory and epistemic uncertainties with flexible intervals (2016)An extended probabilistic method for reli…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Quantification of margins and uncertainties: Alternative representations of epistemic uncertainty (2011)Quantification of margins and…Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Mixed aleatory-epistemic unce…Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011)Hybrid probabilistic interval…Probabilistic interval analysis for structures with uncertainty (2010)Probabilistic interval analys…Numerical approach for quantification of epistemic uncertainty (2010)Numerical approach for quanti…A probabilistic approach for representation of interval uncertainty (2010)A probabilistic approach for …Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …Robust mechanism synthesis with random and interval variables (2008)Robust mechanism synthesis wi…Aleatory or epistemic? 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Does i…Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Epistemic uncertainty quantif…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…Investigation of Evidence Theory for Engineering Applications (2002)Investigation of Evidence The…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)A general procedure for first…New light on first- and second-order reliability methods (1987)New light on first- and secon…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)A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)Exact and Invariant Second-Moment Code Format (1974)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Metamodel-based importance sampling for structural reliability analysis (2013)The Logic of Scientific Discovery (2013)Sensitivity analysis: A review of recent advances (2015)Structural reliability under combined random load sequences (1978)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)A mathematical theory of evidence (1977)Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data (2011)Long-Term Memory in Stock Market Prices (1991)An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysis (2015)First and second order approximate reliability analysis methods using evidence theory (2015)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)Review of statistical model calibration and validation—from the perspective of uncertainty structures (2019)Narrow Reliability Bounds for Structural Systems (1979)Probability Integration by Directional Simulation (1988)A benchmark study on importance sampling techniques in structural reliability (1993)Uncertainty Analysis of Transport-Transformation Models (1999)The Logic of Scientific Discovery. 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References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 1999A general procedure for first/second-order reliabilitymethod (FORM/SORM)487 cited
  • 1987New light on first- and second-order reliability methods377 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 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
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • 2011Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method140 cited
  • 2008Robust mechanism synthesis with random and interval variables118 cited
  • 2002Investigation of Evidence Theory for Engineering Applications106 cited
  • 2010A probabilistic approach for representation of interval uncertainty103 cited

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2010
Numerical approach for quantification of epistemic uncertainty
98 cited
  • 2011Quantification of margins and uncertainties: Alternative representations of epistemic uncertainty95 cited
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