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An improved first order approximate reliability analysis method for uncertain structures based on evidence theory
16 references·5 citing·36 second hop
An improved first order approximate reliability analysis method for uncertain structures based on evidence theory (2021)An improved first order approximate relia…Time-Dependent Reliability Analysis Through Response Surface Method (2017)Time-Dependent Reliability An…First and second order approximate reliability analysis methods using evidence theory (2015)First and second order approx…A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty (2013)A novel evidence-theory-based…Structural reliability assessment based on probability and convex set mixed model (2009)Structural reliability assess…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …A sequential nonlinear interval number programming method for uncertain structures (2008)A sequential nonlinear interv…Uncertainty quantification using evidence theory in multidisciplinary design optimization (2004)Uncertainty quantification us…An 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(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)Engineering computation under uncertainty – Capabilities of non-traditional models (2007)Some considerations on the treatment of uncertainties in risk assessment for practical decision making (2010)Probability Concepts in Engineering Planning and Design (1975)Probability, reliability and statistical methods in engineering design (1999)Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Stochastic finite element methods for partial differential equations with random input data (2014)Narrow Reliability Bounds for Structural Systems (1979)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)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
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2002Combination of Evidence in Dempster-Shafer Theory1,096 cited
  • 1994Advances in the Dempster-Shafer theory of evidence1,022 cited
  • 1994A non-probabilistic concept of reliability402 cited
  • 2004An exploration of alternative approaches to the representation of uncertainty in model predictions362 cited
  • 2004Uncertainty quantification using evidence theory in multidisciplinary design optimization324 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2017Time-Dependent Reliability Analysis Through Response Surface Method244 cited
  • 2009Structural reliability assessment based on probability and convex set mixed model170 cited
  • 2013A novel evidence-theory-based reliability analysis method for structures with epistemic uncertainty151 cited
  • 2015First and second order approximate reliability analysis methods using evidence theory145 cited
  • 2002Investigation of Evidence Theory for Engineering Applications

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106 cited
  • 2008A sequential nonlinear interval number programming method for uncertain structures97 cited
  • Cited by

    • 2023Aerospace structural reliability analysis method based on regular vine copula model with the asymmetric tail correlation28 cited
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    • 2024An improved approximate integral method for nonlinear reliability analysis26 cited
    • 2024An intelligent evidence-theory-based structural reliability analysis method based on convolutional neural network model19 cited
    • 2024Saddlepoint Approximation Method in Reliability Analysis: A Review13 cited