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A response surface approach for structural reliability analysis using evidence theory
16 references·16 citing·30 second hopsampled
A response surface approach for structural reliability analysis using evidence theory (2014)A response surface approach for structura…Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011)Correlation analysis of non-p…Uncertainty quantification using evidence theory in multidisciplinary design optimization (2004)Uncertainty quantification us…An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)An exploration of alternative…Combination of Evidence in Dempster-Shafer Theory (2002)Combination of Evidence in De…Uncertainty-Based Information: Elements of Generalized Information Theory (1998)Uncertainty-Based Information…Response surface method using vector projected sampling points (1997)Response surface method using…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…Advances in the Dempster-Shafer theory of evidence (1994)Advances in the Dempster-Shaf…A new look at the response surface approach for reliability analysis (1993)A new look at the response su…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Non-Normal Dependent Vectors in Structural Safety (1981)Non-Normal Dependent Vectors …Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Fuzzy sets (1965)Fuzzy setsLimit state Kriging modeling for reliability-based design optimization through classification uncertainty quantification (2022)Limit state Kriging modeling …Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review (2021)Evidence-theory-based structu…Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model (2021)Evidence-Theory-Based Reliabi…An efficient importance sampling approach for reliability analysis of time-variant structures subject to time-dependent stochastic load (2021)An efficient importance sampl…Positioning Accuracy Reliability of Industrial Robots Through Probability and Evidence Theories (2020)Positioning Accuracy Reliabil…A multi-constraint failure-pursuing sampling method for reliability-based design optimization using adaptive Kriging (2020)A multi-constraint failure-pu…Parallelotope-formed evidence theory model for quantifying uncertainties with correlation (2019)Parallelotope-formed evidence…Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables (2019)Epistemic uncertainty-based r…A comparative study of two interval-random models for hybrid uncertainty propagation analysis (2019)A comparative study of two in…Evidence theory-based reliability optimization design using polynomial chaos expansion (2018)Evidence theory-based reliabi…An improved two-stage framework of evidence-based design optimization (2018)An improved two-stage framewo…An efficient evidence-based reliability analysis method via piecewise hyperplane approximation of limit state function (2018)An efficient evidence-based r…An efficient epistemic uncertainty analysis method using evidence theory (2018)An efficient epistemic uncert…Kernel density estimation with bounded data (2017)Kernel density estimation wit…An efficient method of system reliability analysis of steel cable-stayed bridges (2017)An efficient method of system…Multi-fidelity approach to dynamics model calibration (2015)Multi-fidelity approach to dy…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)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Structural Reliability Analysis and Prediction (2017)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)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)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Combining belief functions when evidence conflicts (2000)Belief rule-base inference methodology using the evidential reasoning Approach-RIMER (2006)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)Structural Reliability Methods (1996)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)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)
this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 1965Fuzzy sets67,827 cited
  • 1996Fuzzy sets46,880 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2002Combination of Evidence in Dempster-Shafer Theory1,096 cited
  • 1994Advances in the Dempster-Shafer theory of evidence1,022 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 1994Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability701 cited
  • 1981Non-Normal Dependent Vectors in Structural Safety577 cited
  • 1998Uncertainty-Based Information: Elements of Generalized Information Theory492 cited
  • 1997Response surface method using vector projected sampling points413 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions362 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization

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324 cited
  • 2011Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique306 cited
  • Cited by

    • 2019Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables72 cited
    • 2022Limit state Kriging modeling for reliability-based design optimization through classification uncertainty quantification66 cited
    • 2021Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review65 cited
    • 2018Evidence theory-based reliability optimization design using polynomial chaos expansion56 cited
    • 2019Parallelotope-formed evidence theory model for quantifying uncertainties with correlation54 cited
    • 2019A comparative study of two interval-random models for hybrid uncertainty propagation analysis52 cited
    • 2015Multi-fidelity approach to dynamics model calibration50 cited
    • 2020Positioning Accuracy Reliability of Industrial Robots Through Probability and Evidence Theories50 cited
    • 2021An efficient importance sampling approach for reliability analysis of time-variant structures subject to time-dependent stochastic load49 cited
    • 2018An efficient epistemic uncertainty analysis method using evidence theory43 cited
    • 2018An improved two-stage framework of evidence-based design optimization41 cited
    • 2017An efficient method of system reliability analysis of steel cable-stayed bridges39 cited
    • 2017Kernel density estimation with bounded data35 cited
    • 2021Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model34 cited
    • 2018An efficient evidence-based reliability analysis method via piecewise hyperplane approximation of limit state function31 cited
    • 2020A multi-constraint failure-pursuing sampling method for reliability-based design optimization using adaptive Kriging28 cited