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Unified Approach to Probabilistic and Possibilistic Analysis of Uncertain Systems
4 references·16 citing·43 second hop
Unified Approach to Probabilistic and Possibilistic Analysis of Uncertain Systems (2000)Unified Approach to Probabilistic and Pos…Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Analysis of Uncertain Structu…Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling (1995)Essay on uncertainties in ela…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Structural Reliability Theory and Its Applications (1982)Structural Reliability Theory…Machine learning based optimization for interval uncertainty propagation (2022)Machine learning based optimi…Propagation of uncertain structural properties described by imprecise Probability Density Functions via response surface method (2020)Propagation of uncertain stru…Global response sensitivity analysis of uncertain structures (2015)Global response sensitivity a…Efficient Assessment of Structural Reliability in Presence of Random and Fuzzy Uncertainties (2014)Efficient Assessment of Struc…The vibro-acoustic analysis of built-up systems using a hybrid method with parametric and non-parametric uncertainties (2012)The vibro-acoustic analysis o…A probabilistic approach for representation of interval uncertainty (2010)A probabilistic approach for …Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions (2009)Generalized probabilistic app…A new possibilistic reliability index definition (2009)A new possibilistic reliabili…Uncertainty Quantification and Propagation in Multidisciplinary Analysis and Optimization (2008)Uncertainty Quantification an…A Review of Possibilistic Approaches to Reliability Analysis and Optimization in Engineering Design (2007)A Review of Possibilistic App…Probabilistic safety analysis of structures under hybrid uncertainty (2006)Probabilistic safety analysis…A Bayesian Approach to Reliability-Based Optimization With Incomplete Information (2006)A Bayesian Approach to Reliab…Probabilistic function evaluation system (ProFES) for reliability-based design (2005)Probabilistic function evalua…Probabilistic free vibration and flutter analyses of suspension bridges (2005)Probabilistic free vibration …Comparison of evidence theory and Bayesian theory for uncertainty modeling (2004)Comparison of evidence theory…Random field solutions including boundary condition uncertainty for the steady-state generalized Burgers equation (2001)Random field solutions includ…Safety and the Probability of Structural Failure (1956)Statistical Methods in Structural Mechanics. (1970)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Structural reliability assessment based on probability and convex set mixed model (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)A mathematical theory of evidence (1977)Combination of Evidence in Dempster-Shafer Theory (2002)Uncertainty analysis using evidence theory – confronting level-1 and level-2 approaches with data availability and computational constraints (2010)Sequential Optimization and Mixed Uncertainty Analysis Method for Reliability-Based Optimization (2013)An evidential analysis of Altman Z -score for financial predictions: Case study on solar energy companies (2016)Structural Reliability Analysis and Prediction (2017)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Efficient parametric uncertainty analysis within the hybrid Finite Element/Statistical Energy Analysis method (2013)Fuzzy interval Finite Element/Statistical Energy Analysis for mid-frequency analysis of built-up systems with mixed fuzzy and interval parameters (2016)Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution (2018)A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory (1972)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Uncertain static plane stress analysis with interval fields (2016)Probability, reliability and statistical methods in engineering design (1999)Probability, Reliability and Statistical Methods in Engineering Design (2001)Robustness-based design optimization under data uncertainty (2011)A reliability-based multidisciplinary design optimization procedure based on combined probability and evidence theory (2013)Reliability-based design optimization of multidisciplinary system under aleatory and epistemic uncertainty (2016)A new adaptive importance sampling scheme for reliability calculations (1999)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability-based design optimization with confidence level under input model uncertainty due to limited test data (2011)Conservative reliability-based design optimization method with insufficient input data (2016)A confidence-based reliability optimization with single loop strategy and second-order reliability method (2020)Stochastic Finite Elements: A Spectral Approach (1991)Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data (2010)A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension (2011)Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations (2012)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)Uncertainty in Mechanics Problems—Interval–Based Approach (2001)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances (2010)A new response surface methodology for reliability-based design optimization (2003)Reliability-based design optimization for crashworthiness of vehicle side impact (2004)
this work references cited by second hop

References

  • 1982Structural Reliability Theory and Its Applications908 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1997Analysis of Uncertain Structural Systems Using Interval Analysis423 cited
  • 1995Essay on uncertainties in elastic and viscoelastic structures: From A. M. Freudenthal's criticisms to modern convex modeling275 cited

Cited by

  • 2004Comparison of evidence theory and Bayesian theory for uncertainty modeling107 cited
  • 2010A probabilistic approach for representation of interval uncertainty103 cited
  • 2009Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions93 cited
  • 2006A Bayesian Approach to Reliability-Based Optimization With Incomplete Information82 cited
  • 2012The vibro-acoustic analysis of built-up systems using a hybrid method with parametric and non-parametric uncertainties73 cited
  • 2006Probabilistic safety analysis of structures under hybrid uncertainty49 cited
  • 2009A new possibilistic reliability index definition37 cited
  • 2005Probabilistic free vibration and flutter analyses of suspension bridges32 cited
  • 2020Propagation of uncertain structural properties described by imprecise Probability Density Functions via response surface method31 cited
  • 2005

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Probabilistic function evaluation system (ProFES) for reliability-based design
28 cited
  • 2007A Review of Possibilistic Approaches to Reliability Analysis and Optimization in Engineering Design27 cited
  • 2014Efficient Assessment of Structural Reliability in Presence of Random and Fuzzy Uncertainties24 cited
  • 2015Global response sensitivity analysis of uncertain structures24 cited
  • 2008Uncertainty Quantification and Propagation in Multidisciplinary Analysis and Optimization23 cited
  • 2001Random field solutions including boundary condition uncertainty for the steady-state generalized Burgers equation21 cited
  • 2022Machine learning based optimization for interval uncertainty propagation20 cited