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Sensitivity Analysis with Mixture of Epistemic and Aleatory Uncertainties
16 references·16 citing·37 second hopsampled
Sensitivity Analysis with Mixture of Epistemic and Aleatory Uncertainties (2007)Sensitivity Analysis with Mixture of Epis…Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design (2005)Relative Entropy Based Method…Uncertainty quantification using evidence theory in multidisciplinary design optimization (2004)Uncertainty quantification us…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)An exploration of alternative…Alternative representations of epistemic uncertainty (2004)Alternative representations o…Mathematical representation of uncertainty (2001)Mathematical representation o…Uncertainty-Based Information (1999)Uncertainty-Based InformationTowards a Better Understanding of Modeling Feasibility Robustness in Engineering Design (1999)Towards a Better Understandin…A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)A Quantitative Model-Independ…Uncertainty-Based Information: Elements of Generalized Information Theory (1998)Uncertainty-Based Information…Importance measures in global sensitivity analysis of nonlinear models (1996)Importance measures in global…Fuzzy sets (1996)Fuzzy setsPropagation 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…Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I Theory (1973)Study of the sensitivity of c…L-fuzzy sets (1967)L-fuzzy setsFuzzy sets (1965)Fuzzy setsA Monte Carlo framework for probabilistic analysis and variance decomposition with distribution parameter uncertainty (2020)A Monte Carlo framework for p…Unified uncertainty analysis under probabilistic, evidence, fuzzy and interval uncertainties (2019)Unified uncertainty analysis …Review of Robust Aerodynamic Design Optimization for Air Vehicles (2018)Review of Robust Aerodynamic …Hybrid reliability analysis and optimization for spacecraft structural system with random and fuzzy parameters (2018)Hybrid reliability analysis a…Multi-criteria risk evaluation by integrating an analytical network process approach into GIS-based sensitivity and uncertainty analyses (2017)Multi-criteria risk evaluatio…A decoupling approach for evidence-theory-based reliability design optimization (2017)A decoupling approach for evi…Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method (2016)Unified reliability analysis …An efficient method for reliability analysis under epistemic uncertainty based on evidence theory and support vector regression (2015)An efficient method for relia…Structural reliability analysis using a copula-function-based evidence theory model (2014)Structural reliability analys…Probability and convex set hybrid reliability analysis based on active learning Kriging model (2014)Probability and convex set hy…Hybrid reliability analysis with both random and probability-box variables (2014)Hybrid reliability analysis w…A Hybrid Reliability Approach Based on Probability and Interval for Uncertain Structures (2012)A Hybrid Reliability Approach…A derivative based sensitivity measure of failure probability in the presence of epistemic and aleatory uncertainties (2012)A derivative based sensitivit…Reliability sensitivity analysis for structural systems in interval probability form (2011)Reliability sensitivity analy…A probabilistic approach for representation of interval uncertainty (2010)A probabilistic approach for …Robust mechanism synthesis with random and interval variables (2008)Robust mechanism synthesis wi…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)Statistics for Experimenters (1979)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Handbook on Constructing Composite Indicators (2005)An effective screening design for sensitivity analysis of large models (2007)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)A mathematical theory of evidence (1977)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)Factorial Sampling Plans for Preliminary Computational Experiments (1991)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Global sensitivity analysis using polynomial chaos expansions (2007)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Risks and decisions for conservation and environmental management (2005)Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence (2007)Deng entropy (2016)Fuzzy topological spaces (1968)The concept of a linguistic variable and its application to approximate reasoning—II (1975)Intuitionistic Fuzzy Aggregation Operators (2007)Identification and Review of Sensitivity Analysis Methods (2002)Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach (2004)Model-based design of experiments for parameter precision: State of the art (2007)Measuring ambiguity in the evidence theory (2006)Distances in evidence theory: Comprehensive survey and generalizations (2011)Uncertainty measure in evidence theory (2020)Extensions of the TOPSIS for group decision-making under fuzzy environment (2000)An approach for detecting, quantifying, and visualizing the evolution of a research field: A practical application to the Fuzzy Sets Theory field (2010)Science mapping software tools: Review, analysis, and cooperative study among tools (2011)Family resemblances: Studies in the internal structure of categories (1975)Basic objects in natural categories (1976)Soft set theory—First results (1999)
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References

  • 1965Fuzzy sets67,827 cited
  • 1996Fuzzy sets46,880 cited
  • 1967L-fuzzy sets2,456 cited
  • 1999A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output2,274 cited
  • 1996Importance measures in global sensitivity analysis of nonlinear models2,014 cited
  • 1973Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I Theory1,041 cited
  • 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
  • 1998Uncertainty-Based Information: Elements of Generalized Information Theory492 cited
  • 1999Uncertainty-Based Information487 cited
  • 1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design371 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization324 cited
  • 2004Alternative representations of epistemic uncertainty290 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions

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284 cited
  • 2005Relative Entropy Based Method for Probabilistic Sensitivity Analysis in Engineering Design269 cited
  • Cited by

    • 2008Robust mechanism synthesis with random and interval variables118 cited
    • 2017Multi-criteria risk evaluation by integrating an analytical network process approach into GIS-based sensitivity and uncertainty analyses118 cited
    • 2014Probability and convex set hybrid reliability analysis based on active learning Kriging model111 cited
    • 2010A probabilistic approach for representation of interval uncertainty103 cited
    • 2012A Hybrid Reliability Approach Based on Probability and Interval for Uncertain Structures99 cited
    • 2014Structural reliability analysis using a copula-function-based evidence theory model92 cited
    • 2011Reliability sensitivity analysis for structural systems in interval probability form70 cited
    • 2014Hybrid reliability analysis with both random and probability-box variables63 cited
    • 2012A derivative based sensitivity measure of failure probability in the presence of epistemic and aleatory uncertainties55 cited
    • 2015An efficient method for reliability analysis under epistemic uncertainty based on evidence theory and support vector regression53 cited
    • 2016Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method53 cited
    • 2018Review of Robust Aerodynamic Design Optimization for Air Vehicles51 cited
    • 2017A decoupling approach for evidence-theory-based reliability design optimization49 cited
    • 2018Hybrid reliability analysis and optimization for spacecraft structural system with random and fuzzy parameters48 cited
    • 2019Unified uncertainty analysis under probabilistic, evidence, fuzzy and interval uncertainties45 cited
    • 2020A Monte Carlo framework for probabilistic analysis and variance decomposition with distribution parameter uncertainty45 cited