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A random set approach to the optimization of uncertain structures
7 references·16 citing·39 second hop
A random set approach to the optimization of uncertain structures (1998)A random set approach to the optimization…Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Structural design under bound…Fuzzy Measure Theory (1992)Fuzzy Measure TheoryReliability-Based Structural Optimization (1991)Reliability-Based Structural …Evidence Theory and Its Applications (1991)Evidence Theory and Its Appli…Convex Models of Uncertainty in Applied Mechanics (1990)Convex Models of Uncertainty …A SET-THEORETIC VIEW OF BELIEF FUNCTIONS Logical operations and approximations by fuzzy sets† (1986)A SET-THEORETIC VIEW OF BELIE…Minimum Weight Analysis Based on Structural Reliability (1960)Minimum Weight Analysis Based…Separating aleatory and epistemic uncertainties: Probabilistic sewer flooding evaluation using probability box (2011)Separating aleatory and epist…On new cautious structural reliability models in the framework of imprecise probabilities (2010)On new cautious structural re…Using random set theory to calculate reliability bounds for a wing structure (2006)Using random set theory to ca…Robust design optimization of structures under uncertainties (2005)Robust design optimization of…Integration of Reliability- and Possibility-Based Design Optimizations Using Performance Measure Approach (2005)Integration of Reliability- a…Competing Failure Risk Analysis Using Evidence Theory (2005)Competing Failure Risk Analys…Uncertain structural design based on nonlinear fuzzy analysis (2004)Uncertain structural design b…Evidence Theory for Engineering Applications (2004)Evidence Theory for Engineeri…An uncertainty model of structural reliability with imprecise parameters of probability distributions (2004)An uncertainty model of struc…A New Fuzzy Analysis Method for Possibility-Based Design Optimization (2004)A New Fuzzy Analysis Method f…Fuzzy label methods for constructing imprecise limit state functions (2003)Fuzzy label methods for const…Imprecise probabilities of engineering system failure from random and fuzzy set reliability analysis (2001)Imprecise probabilities of en…Hybrid analysis of uncertainty: probability, fuzziness and anti-optimization (2001)Hybrid analysis of uncertaint…COMPARISON OF FUZZY SET AND CONVEX MODEL THEORIES IN STRUCTURAL DESIGN (2001)COMPARISON OF FUZZY SET AND C…What are the Random and Fuzzy Sets and How to Use Them for Uncertainty Modelling in Engineering Systems? 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(1967)Sensitivity of Reliability‐Based Optimum Design (1985)On Reliability-Based Structural Optimization (1991)Anti-optimisation of uncertain structures using interval analysis (2001)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)
this work references cited by second hop

References

  • 1992Fuzzy Measure Theory1,241 cited
  • 1990Convex Models of Uncertainty in Applied Mechanics838 cited
  • 1986A SET-THEORETIC VIEW OF BELIEF FUNCTIONS Logical operations and approximations by fuzzy sets†417 cited
  • 1994Structural design under bounded uncertainty—Optimization with anti-optimization235 cited
  • 1991Evidence Theory and Its Applications219 cited
  • 1960Minimum Weight Analysis Based on Structural Reliability85 cited
  • 1991Reliability-Based Structural Optimization85 cited

Cited by

  • 2001COMPARISON OF FUZZY SET AND CONVEX MODEL THEORIES IN STRUCTURAL DESIGN47 cited
  • 2005Competing Failure Risk Analysis Using Evidence Theory46 cited
  • 2011Separating aleatory and epistemic uncertainties: Probabilistic sewer flooding evaluation using probability box45 cited
  • 2010On new cautious structural reliability models in the framework of imprecise probabilities41 cited
  • 2004A New Fuzzy Analysis Method for Possibility-Based Design Optimization39 cited
  • 2004Evidence Theory for Engineering Applications38 cited
  • 2005Robust design optimization of structures under uncertainties38 cited
  • 2001Imprecise probabilities of engineering system failure from random and fuzzy set reliability analysis

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30 cited
  • 1999What are the Random and Fuzzy Sets and How to Use Them for Uncertainty Modelling in Engineering Systems?30 cited
  • 2005Integration of Reliability- and Possibility-Based Design Optimizations Using Performance Measure Approach24 cited
  • 2006Using random set theory to calculate reliability bounds for a wing structure20 cited
  • 1999Concept of Random Sets as Applied to the Design of Structures and Analysis of Expert Opinions for Aircraft Crash18 cited
  • 2004Uncertain structural design based on nonlinear fuzzy analysis16 cited
  • 2004An uncertainty model of structural reliability with imprecise parameters of probability distributions15 cited
  • 2003Fuzzy label methods for constructing imprecise limit state functions15 cited
  • 2001Hybrid analysis of uncertainty: probability, fuzziness and anti-optimization13 cited