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A survey of non-probabilistic uncertainty treatment in finite element analysis
9 references·16 citing·31 second hop
A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)A survey of non-probabilistic uncertainty…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)Antioptimization of structure…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…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…A non-probabilistic concept of reliability (1994)A non-probabilistic concept o…A mathematical theory of evidence (1977)A mathematical theory of evid…Fuzzy sets (1965)Fuzzy setsModeling, analysis, and optimization under uncertainties: a review (2021)Modeling, analysis, and optim…Certain trends in uncertainty and sensitivity analysis: An overview of software tools and techniques (2019)Certain trends in uncertainty…Discussions on non-probabilistic convex modelling for uncertain problems (2018)Discussions on non-probabilis…A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis (2018)A dimension-wise method and i…Advanced Line Sampling for efficient robust reliability analysis (2014)Advanced Line Sampling for ef…A new interval uncertain optimization method for structures using Chebyshev surrogate models (2014)A new interval uncertain opti…Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method (2012)Structural reliability analys…Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters (2012)Modified sub-interval perturb…A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A Chebyshev interval method f…Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Stochastic analysis of struct…Probabilistic interval analysis for structures with uncertainty (2010)Probabilistic interval analys…Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)Non-probabilistic finite elem…Interval analysis of structures with uncertain-but-bounded axial stiffness (2010)Interval analysis of structur…Reliability-based structural optimization with probability and convex set hybrid models (2009)Reliability-based structural …Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Engineering computation under…Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Recent advances in non-probab…Unreliable probabilities, risk taking, and decision making (1982)Unreliable probabilities, risk taking, and decision making (1988)Convex Models of Uncertainty in Applied Mechanics (1990)Discussion on: A non-probabilistic concept of reliability (1995)Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Structural reliability analysis using non-probabilistic convex model (2012)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)Robust optimization – A comprehensive survey (2007)A new uncertain analysis method and its application in vehicle dynamics (2014)A state-of-the-art review on uncertainty analysis of rotor systems (2022)An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory (2003)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Reliability analysis of structures by iterative improved response surface method (2016)Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach (2003)Interval Monte Carlo methods for structural reliability (2010)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Uncertainty in Mechanics Problems—Interval–Based Approach (2001)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)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
this work references cited by second hop

References

  • 1965Fuzzy sets67,827 cited
  • 1996Fuzzy sets46,880 cited
  • 1977A mathematical theory of evidence1,783 cited
  • 1994Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability701 cited
  • 2000Reliability Assessment Using Stochastic Finite Element Analysis524 cited
  • 2001Reliability Assessment Using Stochastic Finite Element Analysis472 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 1998Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis420 cited
  • 1994A non-probabilistic concept of reliability402 cited

Cited by

  • 2012A Chebyshev interval method for nonlinear dynamic systems under uncertainty304 cited
  • 2007Engineering computation under uncertainty – Capabilities of non-traditional models290 cited
  • 2010Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances254 cited
  • 2014Advanced Line Sampling for efficient robust reliability analysis212 cited
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • 2021

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Modeling, analysis, and optimization under uncertainties: a review
166 cited
  • 2012Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method155 cited
  • 2011Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis149 cited
  • 2006Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis143 cited
  • 2010Interval analysis of structures with uncertain-but-bounded axial stiffness128 cited
  • 2009Reliability-based structural optimization with probability and convex set hybrid models123 cited
  • 2014A new interval uncertain optimization method for structures using Chebyshev surrogate models117 cited
  • 2018A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis114 cited
  • 2019Certain trends in uncertainty and sensitivity analysis: An overview of software tools and techniques114 cited
  • 2012Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters106 cited
  • 2018Discussions on non-probabilistic convex modelling for uncertain problems99 cited