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Probability and convexity concepts are not antagonistic
6 references·16 citing·40 second hop
Probability and convexity concepts are not antagonistic (2011)Probability and convexity concepts are no…Optimization and Anti-Optimization of Structures Under Uncertainty (2010)Optimization and Anti-Optimiz…Non-probabilistic set-theoretic model for structural safety measure (2008)Non-probabilistic set-theoret…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…Three Versions of the Finite Element Method Based on Concepts of Either Stochasticity, Fuzziness, or Anti-Optimization (1998)Three Versions of the Finite …Discussion on: A non-probabilistic concept of reliability (1995)Discussion on: A non-probabil…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …Hybrid active learning method for non-probabilistic reliability analysis with multi-super-ellipsoidal model (2022)Hybrid active learning method…Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads (2020)Fully decoupled reliability-b…Some significant improvements for interval process model and non-random vibration analysis method (2019)Some significant improvements…Non-probabilistic kinematic reliability analysis of planar mechanisms with non-uniform revolute clearance joints (2019)Non-probabilistic kinematic r…Structural design optimization based on hybrid time-variant reliability measure under non-probabilistic convex uncertainties (2018)Structural design optimizatio…Non-probabilistic time-variant reliability assessment (NTRA) for the active control of vibration systems with convex uncertainties (2018)Non-probabilistic time-varian…Hybrid time-variant reliability estimation for active control structures under aleatory and epistemic uncertainties (2018)Hybrid time-variant reliabili…An efficient method for statistical moments and reliability assessment of structures (2018)An efficient method for stati…Structural optimization oriented time-dependent reliability methodology under static and dynamic uncertainties (2017)Structural optimization orien…Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016)Reliability-based design opti…Interval prediction of responses for uncertain multidisciplinary system (2016)Interval prediction of respon…Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process (2015)Time-variant reliability mode…Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process (2015)Time-Dependent Reliability Mo…An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs (2014)An efficient method for the e…The encounter of interval and probabilistic approaches to structural reliability at the design point (2012)The encounter of interval and…Non-probabilistic wear reliability analysis of swash-plate/slipper of water hydraulic piston motor based on convex model (2012)Non-probabilistic wear reliab…Safety and the Probability of Structural Failure (1956)A non-probabilistic concept of reliability (1994)Probability and convex set hybrid reliability analysis based on active learning Kriging model (2014)A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties (2018)A novel experimental data-driven exponential convex model for reliability assessment with uncertain-but-bounded parameters (2019)Quality Engineering in Production Systems (1990)Non-probabilistic convex model process: A new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems (2013)An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)A mathematical theory of evidence (1977)Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability (1994)Uncertainties in risk analysis: Six levels of treatment (1996)An exploration of alternative approaches to the representation of uncertainty in model predictions (2004)Imprecise probabilities in engineering analyses (2013)Exact and Invariant Second-Moment Code Format (1974)Structural Reliability Methods (1996)A New Study on Reliability-Based Design Optimization (1999)A novel uncertainty analysis method for composite structures with mixed uncertainties including random and interval variables (2017)Mixed uncertainty analysis for dynamic reliability of mechanical structures considering residual strength (2021)Flexible-constrained time-variant hybrid reliability-based design optimization (2023)Structural reliability analysis using non-probabilistic convex model (2012)Hybrid interval and random analysis for structural-acoustic systems including periodical composites and multi-scale bounded hybrid uncertain parameters (2018)Reliability and reliability sensitivity analysis of structure by combining adaptive linked importance sampling and Kriging reliability method (2020)The optimal controller design framework for PID-based vibration active control systems via non-probabilistic time-dependent reliability measure (2020)Methods of structural safety (2006)An efficient single-loop strategy for reliability-based multidisciplinary design optimization under non-probabilistic set theory (2017)Structural Reliability Analysis and Prediction (2017)A new non-probabilistic time-dependent reliability model for mechanisms with interval uncertainties (2021)Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis (1998)The static displacement and the stress analysis of structures with bounded uncertainties using the vertex solution theorem (2007)Time-dependent reliability analysis for function generation mechanisms with random joint clearances (2015)Kinematic reliability evaluation of high-precision planar mechanisms experiencing non-uniform wear in revolute joints (2021)Time-dependent kinematic reliability analysis of gear mechanism based on sequential decoupling strategy and saddle-point approximation (2021)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)A feasible implementation procedure for interval analysis method from measurement data (2013)A non-probabilistic robust reliability method for analysis and design optimization of structures with uncertain-but-bounded parameters (2014)A non-probabilistic time-variant reliable control method for structural vibration suppression problems with interval uncertainties (2018)Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Optimal Uncertainty Quantification (2013)A novel Interval Finite Element Method based on the improved interval analysis (2016)
this work references cited by second hop

References

  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 1995Discussion on: A non-probabilistic concept of reliability217 cited
  • 2010Optimization and Anti-Optimization of Structures Under Uncertainty187 cited
  • 2008Non-probabilistic set-theoretic model for structural safety measure128 cited
  • 1998Three Versions of the Finite Element Method Based on Concepts of Either Stochasticity, Fuzziness, or Anti-Optimization76 cited

Cited by

  • 2016Reliability-based design optimization under mixture of random, interval and convex uncertainties59 cited
  • 2019Non-probabilistic kinematic reliability analysis of planar mechanisms with non-uniform revolute clearance joints54 cited
  • 2018Hybrid time-variant reliability estimation for active control structures under aleatory and epistemic uncertainties53 cited
  • 2015Time-variant reliability model and its measure index of structures based on a non-probabilistic interval process51 cited
  • 2012The encounter of interval and probabilistic approaches to structural reliability at the design point44 cited
  • 2020Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads44 cited
  • 2014An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs

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43 cited
  • 2019Some significant improvements for interval process model and non-random vibration analysis method43 cited
  • 2022Hybrid active learning method for non-probabilistic reliability analysis with multi-super-ellipsoidal model39 cited
  • 2018Non-probabilistic time-variant reliability assessment (NTRA) for the active control of vibration systems with convex uncertainties35 cited
  • 2017Structural optimization oriented time-dependent reliability methodology under static and dynamic uncertainties35 cited
  • 2018Structural design optimization based on hybrid time-variant reliability measure under non-probabilistic convex uncertainties31 cited
  • 2015Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process26 cited
  • 2018An efficient method for statistical moments and reliability assessment of structures20 cited
  • 2016Interval prediction of responses for uncertain multidisciplinary system18 cited
  • 2012Non-probabilistic wear reliability analysis of swash-plate/slipper of water hydraulic piston motor based on convex model15 cited