SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
On the calculation of the bounds of probability of events using infinite random sets
16 references·16 citing·34 second hopsampled
On the calculation of the bounds of probability of events using infinite random sets (2006)On the calculation of the bounds of proba…Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…Simulation and the Monte Carlo Method (2007)Simulation and the Monte Carl…Using random set theory to propagate epistemic uncertainty through a mechanical system (2004)Using random set theory to pr…Epistemic uncertainty quantification techniques including evidence theory for large-scale structures (2004)Epistemic uncertainty quantif…Engineering Design Reliability Handbook (2004)Engineering Design Reliabilit…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…An approximation approach for uncertainty quantification using evidence theory (2004)An approximation approach for…Constructing Probability Boxes and Dempster-Shafer Structures (2003)Constructing Probability Boxe…Combination of Evidence in Dempster-Shafer Theory (2002)Combination of Evidence in De…Mathematical representation of uncertainty (2001)Mathematical representation o…An Introduction to Copulas (1999)An Introduction to CopulasUncertainty-Based Information: Elements of Generalized Information Theory (1998)Uncertainty-Based Information…Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty (1997)Uncertainty and sensitivity a…Structural Reliability Methods (1996)Structural Reliability MethodsFuzzy sets (1996)Fuzzy setsA mathematical theory of evidence (1977)A mathematical theory of evid…Reliability-oriented sensitivity analysis in presence of data-driven epistemic uncertainty (2021)Reliability-oriented sensitiv…Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review (2021)Evidence-theory-based structu…Robust propagation of probability boxes by interval predictor models (2019)Robust propagation of probabi…The vertex solution theorem and its coupled framework for static analysis of structures with interval parameters (2017)The vertex solution theorem a…Structural reliability analysis under evidence theory using the active learning kriging model (2017)Structural reliability analys…Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method (2016)Unified reliability analysis …40 years of Dempster–Shafer theory (2016)40 years of Dempster–Shafer t…Uncertainty Management in Multidisciplinary Design of Critical Safety Systems (2014)Uncertainty Management in Mul…Hybrid reliability analysis with both random and probability-box variables (2014)Hybrid reliability analysis w…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…Structural analysis with probability-boxes (2012)Structural analysis with prob…Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties (2012)Interval importance sampling …Fuzzy structural analysis based on fundamental reliability concepts (2012)Fuzzy structural analysis bas…Separating aleatory and epistemic uncertainties: Probabilistic sewer flooding evaluation using probability box (2011)Separating aleatory and epist…Classical and imprecise probability methods for sensitivity analysis in engineering: A case study (2008)Classical and imprecise proba…On the dempster-shafer framework and new combination rules (1987)Robust optimization – A comprehensive survey (2007)Judgment Under Uncertainty: Heuristics and Biases. (1984)On ordered weighted averaging aggregation operators in multicriteria decisionmaking (1988)Proceedings of the 2002 Winter Simulation Conference (2002)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)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)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Imprecise probabilities in engineering analyses (2013)Probability Concepts in Engineering Planning and Design (1975)Structural reliability under combined random load sequences (1978)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? Does it matter? (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Risks and decisions for conservation and environmental management (2005)Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence (2007)Deng entropy (2016)Quantitative Risk Management: Concepts, Techniques, and Tools (2005)MODELLING ASYMMETRIC EXCHANGE RATE DEPENDENCE* (2006)Introductory Econometrics for Finance (2008)Automobile Prices in Market Equilibrium (1995)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)k-order additive discrete fuzzy measures and their representation (1997)A new distance between two bodies of evidence (2001)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)Extensions of the TOPSIS for group decision-making under fuzzy environment (2000)An approach for detecting, quantifying, and visualizing the evolution of a research field: A practical application to the Fuzzy Sets Theory field (2010)Science mapping software tools: Review, analysis, and cooperative study among tools (2011)Econometric Tools for Analyzing Market Outcomes (2007)Metamodel-based importance sampling for structural reliability analysis (2013)Everything you need to know about agent-based modelling and simulation (2016)
this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 1996Fuzzy sets46,880 cited
  • 1999An Introduction to Copulas7,743 cited
  • 2016Simulation and the Monte Carlo Method3,356 cited
  • 2007Simulation and the Monte Carlo Method2,454 cited
  • 1996Structural Reliability Methods2,192 cited
  • 1977A mathematical theory of evidence1,783 cited
  • 2002Combination of Evidence in Dempster-Shafer Theory1,096 cited
  • 2003Constructing Probability Boxes and Dempster-Shafer Structures745 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 1998Uncertainty-Based Information: Elements of Generalized Information Theory492 cited
  • 2004Engineering Design Reliability Handbook468 cited
  • 1997Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty369 cited
  • 2001Mathematical representation of uncertainty289 cited
  • 2004An approximation approach for uncertainty quantification using evidence theory197 cited
  • 2004Epistemic uncertainty quantification techniques including evidence theory for large-scale structures194 cited
  • 2004Using random set theory to propagate epistemic uncertainty through a mechanical system

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

107 cited

Cited by

  • 201640 years of Dempster–Shafer theory91 cited
  • 2012Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties72 cited
  • 2008Classical and imprecise probability methods for sensitivity analysis in engineering: A case study71 cited
  • 2021Evidence-theory-based structural reliability analysis with epistemic uncertainty: a review65 cited
  • 2014Hybrid reliability analysis with both random and probability-box variables63 cited
  • 2014Uncertainty Management in Multidisciplinary Design of Critical Safety Systems59 cited
  • 2016Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method53 cited
  • 2017The vertex solution theorem and its coupled framework for static analysis of structures with interval parameters46 cited
  • 2011Separating aleatory and epistemic uncertainties: Probabilistic sewer flooding evaluation using probability box45 cited
  • 2012The encounter of interval and probabilistic approaches to structural reliability at the design point44 cited
  • 2014An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs43 cited
  • 2012Fuzzy structural analysis based on fundamental reliability concepts38 cited
  • 2021Reliability-oriented sensitivity analysis in presence of data-driven epistemic uncertainty38 cited
  • 2017Structural reliability analysis under evidence theory using the active learning kriging model36 cited
  • 2019Robust propagation of probability boxes by interval predictor models33 cited
  • 2012Structural analysis with probability-boxes31 cited