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Interval optimization based line sampling method for fuzzy and random reliability analysis
7 references·14 citing·53 second hop
Interval optimization based line sampling method for fuzzy and random reliability analysis (2013)Interval optimization based line sampling…Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Mixed aleatory-epistemic unce…System reliability analysis for mixed uncertain variables (2009)System reliability analysis f…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies (2006)Quantification of epistemic a…A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…Safety assessment of structures in view of fuzzy randomness (2003)Safety assessment of structur…Structural reliability analysis through fuzzy number approach, with application to stability (2002)Structural reliability analys…A Kriging-assisted two-stage adaptive radial-based importance sampling method for random-interval hybrid reliability analysis (2023)A Kriging-assisted two-stage …Accurate Structural Reliability Analysis Using an Improved Line-Sampling-Method-Based Slime Mold Algorithm (2021)Accurate Structural Reliabili…A novel mixed uncertainty support vector machine method for structural reliability analysis (2021)A novel mixed uncertainty sup…A Comparative Study on the Efficiency of Reliability Methods for the Probabilistic Analysis of Local Scour at a Bridge Pier in Clay-Sand-Mixed Sediments (2021)A Comparative Study on the Ef…Reliability analysis of excavator boom considering mixed uncertain variables (2020)Reliability analysis of excav…Coupled fuzzy-interval model and method for structural response analysis with non-probabilistic hybrid uncertainties (2020)Coupled fuzzy-interval model …A new structural reliability analysis method in presence of mixed uncertainty variables (2020)A new structural reliability …Reliability-Based Design Optimization for Design Problems with Random Fuzzy and Interval Uncertainties (2019)Reliability-Based Design Opti…Hybrid Reliability-Based Design Optimization of Complex Structures With Random and Interval Uncertainties Based on ASS-HRA (2019)Hybrid Reliability-Based Desi…Fuzzy-based optimised subset simulation for reliability analysis of engineering structures (2019)Fuzzy-based optimised subset …Reliability analysis of structures based on a probability‐uncertainty hybrid model (2018)Reliability analysis of struc…A new structural reliability index based on uncertainty theory (2017)A new structural reliability …Fuzzy interval Finite Element/Statistical Energy Analysis for mid-frequency analysis of built-up systems with mixed fuzzy and interval parameters (2016)Fuzzy interval Finite Element…A novel evidence-based fuzzy reliability analysis method for structures (2016)A novel evidence-based fuzzy …Convex Models of Uncertainty in Applied Mechanics (1990)Fuzzy Set Theory and Its Applications (1993)Methods of structural safety (2006)Literature review of methods for representing uncertainty (2013)Reliability Assessment with Fuzzy Random Variables Using Interval Monte Carlo Simulation (2013)A fuzzy reliability approach for structures based on the probability perspective (2015)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)MCMC algorithms for Subset Simulation (2015)Fault-Tree Analysis by Fuzzy Probability (1983)Different methods are needed to propagate ignorance and variability (1996)Risk Analysis: A Quantitative Guide (2000)A fuzzy-based reliability approach to evaluate basic events of fault tree analysis for nuclear power plant probabilistic safety assessment (2014)Of Disasters and Dragon Kings: A Statistical Analysis of Nuclear Power Incidents and Accidents (2016)Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review (2021)A mathematical theory of evidence (1977)Fuzzy Sets and Systems - Theory and Applications (1980)Possibility-Based Design Optimization Method for Design Problems With Both Statistical and Fuzzy Input Data (2005)Integration of Possibility-Based Optimization and Robust Design for Epistemic Uncertainty (2006)Inverse Possibility Analysis Method for Possibility-Based Design Optimization (2006)A fast and efficient response surface approach for structural reliability problems (1990)Improved two-point function approximations for design optimization (1995)Reliability analysis of structural system with multiple failure modes and mixed uncertain input variables (2012)A time-variant reliability analysis method for structural systems based on stochastic process discretization (2015)Exact and Invariant Second-Moment Code Format (1974)Structural reliability under combined random load sequences (1978)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability sensitivity analysis with random and interval variables (2009)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables (2018)Review of statistical model calibration and validation—from the perspective of uncertainty structures (2019)Fuzzy sets (1965)Fuzzy sets (1996)The stochastic finite element method: Past, present and future (2008)A dimension-wise analysis method for the structural-acoustic system with interval parameters (2017)An Iterative Dimension-Wise Approach to the Structural Analysis with Interval Uncertainties (2017)Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution (2018)Aleatory or epistemic? Does it matter? (2008)Structural Reliability Analysis and Prediction (2017)A new method of level-2 uncertainty analysis in risk assessment based on uncertainty theory (2018)Sealing reliability modeling of aviation seal based on interval uncertainty method and multidimensional response surface (2019)Optimization algorithms for structural reliability (1991)Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability analysis with correlated random variables based on a novel transformation, adaptive dimension-reduction and maximum entropy method (2022)Reliability-based design method for marine structures combining topology, shape, and size optimization (2023)
this work references cited by second hop

References

  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2011Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation192 cited
  • 2003Safety assessment of structures in view of fuzzy randomness165 cited
  • 2002Structural reliability analysis through fuzzy number approach, with application to stability117 cited
  • 2006Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies112 cited
  • 2009System reliability analysis for mixed uncertain variables50 cited

Cited by

  • 2021Accurate Structural Reliability Analysis Using an Improved Line-Sampling-Method-Based Slime Mold Algorithm39 cited
  • 2016Fuzzy interval Finite Element/Statistical Energy Analysis for mid-frequency analysis of built-up systems with mixed fuzzy and interval parameters36 cited
  • 2017A new structural reliability index based on uncertainty theory33 cited
  • 2021A Comparative Study on the Efficiency of Reliability Methods for the Probabilistic Analysis of Local Scour at a Bridge Pier in Clay-Sand-Mixed Sediments27 cited
  • 2018Reliability analysis of structures based on a probability‐uncertainty hybrid model25 cited
  • 2020Coupled fuzzy-interval model and method for structural response analysis with non-probabilistic hybrid uncertainties

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22 cited
  • 2021A novel mixed uncertainty support vector machine method for structural reliability analysis22 cited
  • 2019Fuzzy-based optimised subset simulation for reliability analysis of engineering structures19 cited
  • 2020A new structural reliability analysis method in presence of mixed uncertainty variables17 cited
  • 2016A novel evidence-based fuzzy reliability analysis method for structures16 cited
  • 2023A Kriging-assisted two-stage adaptive radial-based importance sampling method for random-interval hybrid reliability analysis15 cited
  • 2019Reliability-Based Design Optimization for Design Problems with Random Fuzzy and Interval Uncertainties11 cited
  • 2020Reliability analysis of excavator boom considering mixed uncertain variables11 cited
  • 2019Hybrid Reliability-Based Design Optimization of Complex Structures With Random and Interval Uncertainties Based on ASS-HRA11 cited