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Comparison of evidence theory and Bayesian theory for uncertainty modeling
8 references·16 citing·41 second hop
Comparison of evidence theory and Bayesian theory for uncertainty modeling (2004)Comparison of evidence theory and Bayesia…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Challenge problems: uncertainty in system response given uncertain parameters (2004)Challenge problems: uncertain…Combination of Evidence in Dempster-Shafer Theory (2002)Combination of Evidence in De…Information-gap decision theory : decisions under severe uncertainty (2001)Information-gap decision theo…Unified Approach to Probabilistic and Possibilistic Analysis of Uncertain Systems (2000)Unified Approach to Probabili…Uncertainty-Based Information (1999)Uncertainty-Based InformationUncertainties in system analysis: Probabilistic versus nonprobabilistic theories (1990)Uncertainties in system analy…A mathematical theory of evidence (1977)A mathematical theory of evid…Data-driven reliability assessment with scarce samples considering multidimensional dependence (2023)Data-driven reliability asses…Inverse uncertainty quantification for imprecise structure based on evidence theory and similar system analysis (2021)Inverse uncertainty quantific…Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model (2021)Evidence-Theory-Based Reliabi…An integrated methodology for assessing accident probability of natural gas distribution station with data uncertainty (2019)An integrated methodology for…Structural reliability analysis under evidence theory using the active learning kriging model (2017)Structural reliability analys…Evidence-Theory-Based Analysis for Structural-Acoustic Field with Epistemic Uncertainties (2016)Evidence-Theory-Based Analysi…An evidential analysis of Altman Z -score for financial predictions: Case study on solar energy companies (2016)An evidential analysis of Alt…An efficient hybrid reliability analysis method with random and interval variables (2015)An efficient hybrid reliabili…Evidence-theory-based analysis for the prediction of exterior acoustic field with epistemic uncertainties (2014)Evidence-theory-based analysi…A single-loop optimization method for reliability analysis with second order uncertainty (2014)A single-loop optimization me…Sequential Optimization and Mixed Uncertainty Analysis Method for Reliability-Based Optimization (2013)Sequential Optimization and M…Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties (2013)Evidence-theory-based structu…An evidence-theory model considering dependence among parameters and its application in structural reliability analysis (2013)An evidence-theory model cons…Uncertainty analysis using evidence theory – confronting level-1 and level-2 approaches with data availability and computational constraints (2010)Uncertainty analysis using ev…Prediction of uncertain frequency response function bounds using polynomial chaos expansion (2010)Prediction of uncertain frequ…ON APPLYING SPARSE AND UNCERTAIN INFORMATION TO ESTIMATING THE PROBABILITY OF FAILURE DUE TO RARE ABNORMAL SITUATIONS (2009)ON APPLYING SPARSE AND UNCERT…On the dempster-shafer framework and new combination rules (1987)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Risks and decisions for conservation and environmental management (2005)Robust optimization – A comprehensive survey (2007)Structural Reliability Theory and Its Applications (1982)Convex Models of Uncertainty in Applied Mechanics (1990)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)A Bayesian Approach to Reliability-Based Optimization With Incomplete Information (2006)Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions (2009)A probabilistic approach for representation of interval uncertainty (2010)Determination of Sample Sizes for Setting Tolerance Limits (1941)Uncertainties in risk analysis: Six levels of treatment (1996)Uncertainty Analysis of Flood Control Measures Including Epistemic and Aleatory Uncertainties: Probability Theory and Evidence Theory (2018)TDBF: Two‐dimensional belief function (2019)Building reliability of risk assessment of domino effects in chemical tank farm through an improved uncertainty analysis method (2024)Fuzzy sets (1965)On The Quantitative Definition of Risk (1981)A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination (1986)On the Combination of Evidence in Various Mathematical Frameworks (1992)Elicitation, assessment, and pooling of expert judgments using possibility theory (1995)Aggregating Probability Distributions (2007)Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability (1994)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)FINANCIAL RATIOS, DISCRIMINANT ANALYSIS AND THE PREDICTION OF CORPORATE BANKRUPTCY (1968)A Treatise on Probability (1973)ZETATM analysis A new model to identify bankruptcy risk of corporations (1977)An evidential reasoning-based decision support system for handling customer complaints in mobile telecommunications (2018)Comparative Empirical Analysis of Financial Failures of Enterprises with Altman Z-Score and VIKOR Methods: BIST Food Sector Application (2018)Predicting financial distress using machine learning approaches: Evidence China (2024)Reliability analysis—a review and some perspectives (2001)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Measuring ambiguity in the evidence theory (2006)Distances in evidence theory: Comprehensive survey and generalizations (2011)Uncertainty measure in evidence theory (2020)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)Characterizing Climate-Change Uncertainties for Decision-Makers. An Editorial Essay (2004)Exploratory Modeling and Analysis, an approach for model-based foresight under deep uncertainty (2012)
this work references cited by second hop

References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1977A mathematical theory of evidence1,783 cited
  • 2002Combination of Evidence in Dempster-Shafer Theory1,096 cited
  • 2004Challenge problems: uncertainty in system response given uncertain parameters570 cited
  • 1999Uncertainty-Based Information487 cited
  • 2001Information-gap decision theory : decisions under severe uncertainty329 cited
  • 2000Unified Approach to Probabilistic and Possibilistic Analysis of Uncertain Systems102 cited
  • 1990Uncertainties in system analysis: Probabilistic versus nonprobabilistic theories69 cited

Cited by

  • 2010Uncertainty analysis using evidence theory – confronting level-1 and level-2 approaches with data availability and computational constraints78 cited
  • 2016An evidential analysis of Altman Z -score for financial predictions: Case study on solar energy companies64 cited
  • 2013Sequential Optimization and Mixed Uncertainty Analysis Method for Reliability-Based Optimization45 cited
  • 2013Evidence-theory-based structural static and dynamic response analysis under epistemic uncertainties40 cited
  • 2010Prediction of uncertain frequency response function bounds using polynomial chaos expansion39 cited
  • 2017Structural reliability analysis under evidence theory using the active learning kriging model

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36 cited
  • 2021Evidence-Theory-Based Reliability Analysis Through Kriging Surrogate Model34 cited
  • 2015An efficient hybrid reliability analysis method with random and interval variables34 cited
  • 2013An evidence-theory model considering dependence among parameters and its application in structural reliability analysis33 cited
  • 2014Evidence-theory-based analysis for the prediction of exterior acoustic field with epistemic uncertainties21 cited
  • 2023Data-driven reliability assessment with scarce samples considering multidimensional dependence20 cited
  • 2021Inverse uncertainty quantification for imprecise structure based on evidence theory and similar system analysis17 cited
  • 2014A single-loop optimization method for reliability analysis with second order uncertainty16 cited
  • 2016Evidence-Theory-Based Analysis for Structural-Acoustic Field with Epistemic Uncertainties15 cited
  • 2019An integrated methodology for assessing accident probability of natural gas distribution station with data uncertainty13 cited
  • 2009ON APPLYING SPARSE AND UNCERTAIN INFORMATION TO ESTIMATING THE PROBABILITY OF FAILURE DUE TO RARE ABNORMAL SITUATIONS13 cited