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Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties
16 references·7 citing·39 second hop
Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties (2013)Evidence-theory-based structural static a…Probabilistic interval analysis for structures with uncertainty (2010)Probabilistic interval analys…An efficient response surface method using moving least squares approximation for structural reliability analysis (2010)An efficient response surface…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis (2005)Parameter perturbation method…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 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…Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Comparison of dynamic respons…Combination of Evidence in Dempster-Shafer Theory (2002)Combination of Evidence in De…Fuzzy structural analysis using α-level optimization (2000)Fuzzy structural analysis usi…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A mathematical theory of evidence (1977)A mathematical theory of evid…Predicting stochastic characteristics of generalized eigenvalues via a novel sensitivity-based probability density evolution method (2020)Predicting stochastic charact…Evidence-Based Structural Uncertainty Quantification by Dimension Reduction Decomposition and Marginal Interval Analysis (2019)Evidence-Based Structural Unc…An effective optimization-based parameterized interval analysis approach for static structural response with multiple uncertain parameters (2019)An effective optimization-bas…Multi-objective differential evolution for truss design optimization with epistemic uncertainty (2016)Multi-objective differential …A systematic approach for model refinement considering blind and recognized uncertainties in engineered product development (2016)A systematic approach for mod…Evidence-theory-based analysis for the prediction of exterior acoustic field with epistemic uncertainties (2014)Evidence-theory-based analysi…Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables (2014)Change-of-variable interval s…On the dempster-shafer framework and new combination rules (1987)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Risks and decisions for conservation and environmental management (2005)Robust optimization – A comprehensive survey (2007)Random Fields: Analysis and Synthesis (1983)Stochastic Finite Elements: A Spectral Approach (1991)Latin Hypercube Sampling for Stochastic Finite Element Analysis (2002)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Methods of structural safety (2006)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Fuzzy Set Theory and Its Applications (1993)Advances in the Dempster-Shafer theory of evidence (1994)Unified Uncertainty Analysis by the First Order Reliability Method (2008)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)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)Imprecise probabilities in engineering analyses (2013)Polynomial Chaos in Stochastic Finite Elements (1990)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)On The Quantitative Definition of Risk (1981)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Reliability-Based Design With the Mixture of Random and Interval Variables (2005)Some considerations on the treatment of uncertainties in risk assessment for practical decision making (2010)Experts in uncertainty: opinion and subjective probability in science (1992)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Emergence of Probability (2006)Concerns, Challenges, and Directions of Development for the Issue of Representing Uncertainty in Risk Assessment (2014)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)k-order additive discrete fuzzy measures and their representation (1997)A new distance between two bodies of evidence (2001)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)
this work references cited by second hop

References

  • 1977A mathematical theory of evidence1,783 cited
  • 2002Combination of Evidence in Dempster-Shafer Theory1,096 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions362 cited
  • 1997Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements354 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization324 cited
  • 2000Fuzzy structural analysis using α-level optimization303 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions284 cited
  • 2003Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach246 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures194 cited
  • 2010An efficient response surface method using moving least squares approximation for structural reliability analysis192 cited
  • 2005Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis

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190 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • Cited by

    • 2019Evidence-Based Structural Uncertainty Quantification by Dimension Reduction Decomposition and Marginal Interval Analysis34 cited
    • 2014Evidence-theory-based analysis for the prediction of exterior acoustic field with epistemic uncertainties21 cited
    • 2014Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables21 cited
    • 2016Multi-objective differential evolution for truss design optimization with epistemic uncertainty10 cited
    • 2019An effective optimization-based parameterized interval analysis approach for static structural response with multiple uncertain parameters10 cited
    • 2020Predicting stochastic characteristics of generalized eigenvalues via a novel sensitivity-based probability density evolution method10 cited
    • 2016A systematic approach for model refinement considering blind and recognized uncertainties in engineered product development9 cited