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A new evidence-theory-based method for response analysis of acoustic system with epistemic uncertainty by using Jacobi expansion
16 references·16 citing·35 second hopsampled
A new evidence-theory-based method for response analysis of acoustic system with epistemic uncertainty by using Jacobi expansion (2017)A new evidence-theory-based method for re…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Mixed aleatory-epistemic unce…Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Recent Advances in Non-Intrus…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory (2007)A sampling-based computationa…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…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…Uncertainty-Based Information: Elements of Generalized Information Theory (1998)Uncertainty-Based Information…Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…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…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A mathematical theory of evidence (1977)A mathematical theory of evid…Fuzzy sets (1965)Fuzzy setsA new probabilistic transformation technique for evidence-theory-based structural reliability analysis (2025)A new probabilistic transform…A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters (2023)A bivariate subinterval metho…A probability-box-based method for propagation of multiple types of epistemic uncertainties and its application on composite structural-acoustic system (2020)A probability-box-based metho…Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information (2019)Evidence-theory-based uncerta…A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method (2019)A dynamic evolution scheme fo…Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution (2018)Unified polynomial expansion …Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework (2018)Hybrid evidence-and-fuzzy unc…Evidence-theory-based model validation method for heat transfer system with epistemic uncertainty (2018)Evidence-theory-based model v…Dual interval-and-fuzzy analysis method for temperature prediction with hybrid epistemic uncertainties via polynomial chaos expansion (2018)Dual interval-and-fuzzy analy…An efficient epistemic uncertainty analysis method using evidence theory (2018)An efficient epistemic uncert…An arbitrary polynomial chaos expansion approach for response analysis of acoustic systems with epistemic uncertainty (2018)An arbitrary polynomial chaos…A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties (2018)A unified model approach for …A sparse polynomial surrogate model for phononic crystals with uncertain parameters (2018)A sparse polynomial surrogate…A polynomial expansion approach for response analysis of periodical composite structural–acoustic problems with multi-scale mixed aleatory and epistemic uncertainties (2018)A polynomial expansion approa…A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties (2018)A Bayesian collocation method…A novel evidence theory model dealing with correlated variables and the corresponding structural reliability analysis method (2017)A novel evidence theory model…Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. (1979)Empirical Model Building and Response Surfaces (1988)Stochastic Finite Elements: A Spectral Approach (1991)Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods (2007)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)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)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)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)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)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
  • 1977A mathematical theory of evidence1,783 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1994Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability701 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 1998Uncertainty-Based Information: Elements of Generalized Information Theory492 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures194 cited

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  • 2011Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation192 cited
  • 2007A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory165 cited
  • Cited by

    • 2018An efficient epistemic uncertainty analysis method using evidence theory43 cited
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    • 2019A dynamic evolution scheme for structures with interval uncertainties by using bidirectional sequential Kriging method40 cited
    • 2018A Bayesian collocation method for static analysis of structures with unknown-but-bounded uncertainties34 cited
    • 2018Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution29 cited
    • 2025A new probabilistic transformation technique for evidence-theory-based structural reliability analysis28 cited
    • 2018Evidence-theory-based model validation method for heat transfer system with epistemic uncertainty26 cited
    • 2018Dual interval-and-fuzzy analysis method for temperature prediction with hybrid epistemic uncertainties via polynomial chaos expansion25 cited
    • 2018Hybrid evidence-and-fuzzy uncertainty propagation under a dual-level analysis framework24 cited
    • 2019Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information24 cited
    • 2018A sparse polynomial surrogate model for phononic crystals with uncertain parameters22 cited
    • 2017A novel evidence theory model dealing with correlated variables and the corresponding structural reliability analysis method20 cited
    • 2018A unified model approach for probability response analysis of structure-acoustic system with random and epistemic uncertainties17 cited
    • 2018A polynomial expansion approach for response analysis of periodical composite structural–acoustic problems with multi-scale mixed aleatory and epistemic uncertainties17 cited
    • 2020A probability-box-based method for propagation of multiple types of epistemic uncertainties and its application on composite structural-acoustic system15 cited
    • 2023A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters14 cited