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Optimization Based Algorithms for Uncertainty Propagation Through Functions With Multidimensional Output Within Evidence Theory
11 references·9 citing·43 second hopsampled
Optimization Based Algorithms for Uncertainty Propagation Through Functions With Multidimensional Output Within Evidence Theory (2012)Optimization Based Algorithms for Uncerta…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory (2007)A sampling-based computationa…A Design Optimization Method Using Evidence Theory (2005)A Design Optimization Method …A Design Optimization Method Using Evidence Theory (2005)A Design Optimization Method …Uncertainty quantification using evidence theory in multidisciplinary design optimization (2004)Uncertainty quantification us…Summary from the epistemic uncertainty workshop: consensus amid diversity (2004)Summary from the epistemic un…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…Alternative representations of epistemic uncertainty (2004)Alternative representations o…Error and uncertainty in modeling and simulation (2002)Error and uncertainty in mode…Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty (1997)Uncertainty and sensitivity a…Uncertainty and error in computational simulations (1997)Uncertainty and error in comp…An intelligent evidence-theory-based structural reliability analysis method based on convolutional neural network model (2024)An intelligent evidence-theor…An efficient structural uncertainty propagation method based on evidence domain analysis (2019)An efficient structural uncer…Over-Design Versus Redesign as a Response to Future Requirements (2018)Over-Design Versus Redesign a…Non-probabilistic Bayesian update method for model validation (2018)Non-probabilistic Bayesian up…Composite laminate oriented reliability analysis for fatigue life under non-probabilistic time-dependent method (2017)Composite laminate oriented r…A novel evidence theory model dealing with correlated variables and the corresponding structural reliability analysis method (2017)A novel evidence theory model…NASA Uncertainty Quantification Challenge: An Optimization-Based Methodology and Validation (2015)NASA Uncertainty Quantificati…Reliability Based Design Optimization Modeling Future Redesign With Different Epistemic Uncertainty Treatments (2013)Reliability Based Design Opti…Challenges and future trends in Uncertainty-Based Multidisciplinary Design Optimization for space transportation system design (2013)Challenges and future trends …Fuzzy sets (1965)Fuzzy Sets and Systems - Theory and Applications (1980)Fuzzy sets (1996)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Concerns, Challenges, and Directions of Development for the Issue of Representing Uncertainty in Risk Assessment (2014)Complexity, uncertainty-reduction strategies, and project performance (2016)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)Representation of analysis results involving aleatory and epistemic uncertainty. (2008)A probabilistic approach for representation of interval uncertainty (2010)Representation of analysis results involving aleatory and epistemic uncertainty (2010)Fuzzy Set Theory and Its Applications (1993)Advances in the Dempster-Shafer theory of evidence (1994)Combination of Evidence in Dempster-Shafer Theory (2002)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)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability sensitivity analysis with random and interval variables (2009)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)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)Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability (1994)Uncertainties in risk analysis: Six levels of treatment (1996)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies (2006)A Combined Monte Carlo and Possibilistic Approach to Uncertainty Propagation in Event Tree Analysis (2008)Separating the contributions of variability and parameter uncertainty in probability distributions (2012)Empirical Model Building and Response Surfaces (1988)Response Surface Methodology (1996)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)Calibration, validation, and sensitivity analysis: What's what (2006)Simulation Modeling and Analysis. 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this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 2002Error and uncertainty in modeling and simulation629 cited
  • 1997Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty369 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization324 cited
  • 2004Alternative representations of epistemic uncertainty290 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2007A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory165 cited
  • 2005A Design Optimization Method Using Evidence Theory149 cited
  • 2005A Design Optimization Method Using Evidence Theory148 cited
  • 2004Summary from the epistemic uncertainty workshop: consensus amid diversity146 cited
  • 1997Uncertainty and error in computational simulations49 cited

Cited by

  • 2018Non-probabilistic Bayesian update method for model validation25 cited
  • 2015NASA Uncertainty Quantification Challenge: An Optimization-Based Methodology and Validation24 cited
  • 2017A novel evidence theory model dealing with correlated variables and the corresponding structural reliability analysis method

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20 cited
  • 2024An intelligent evidence-theory-based structural reliability analysis method based on convolutional neural network model19 cited
  • 2019An efficient structural uncertainty propagation method based on evidence domain analysis17 cited
  • 2013Reliability Based Design Optimization Modeling Future Redesign With Different Epistemic Uncertainty Treatments14 cited
  • 2013Challenges and future trends in Uncertainty-Based Multidisciplinary Design Optimization for space transportation system design12 cited
  • 2017Composite laminate oriented reliability analysis for fatigue life under non-probabilistic time-dependent method11 cited
  • 2018Over-Design Versus Redesign as a Response to Future Requirements8 cited