Soft Methods for Handling Variability and Imprecision (eBook)

Invited Papers.- Imprecise Probabilistic Prediction for Categorical Data: From Bayesian Inference to the Imprecise Dirichlet-Multinomial Model.- Fuzzy Bayesian Inference.- Soft Methods for Treating Uncertainties: Applications in the Field of Environmental Risks.- Robert Féron: A Pioneer in Soft Methods for Probability and Statistics.- Foundations.- Relating Prototype Theory and Label Semantics.- Fuzzy Probabilities Based on the Likelihood Function.- Possibility Measures in Probabilistic Inference.- Non-well-Founded Probabilities on Streams.- Relating Epistemic Irrelevance to Event Trees.- Probability Revision, the Uniformity Rule, and the Chan–Darwiche Metric.- Statistical Methods.- On Nonparametric Predictive Inference for Bernoulli Quantities with Set-Valued Data.- Inferring a Possibility Distribution from Very Few Measurements.- Statistics with Vague Data and the Robustness to Data Representation.- On a Linear Independence Test for Interval-Valued Random Sets.- A Small-Sample Nonparametric Independence Test for the Archimedean Family of Bivariate Copulas.- Defuzzification of Fuzzy p-Values.- Testing ‘Two-Sided’ Hypothesis about the Mean of an Interval-Valued Random Set.- Asymptotic Tests for the Variance of a Fuzzy Random Variable Using the D K -Metric.- Empirical Results Concerning a Fuzzy-Based Measure of Symmetry of Real Random Variables.- Fuzzy Kendall Statistic for Autocorrelated Data.- Mixture Model Estimation with Soft Labels.- Imprecise Functional Estimation: The Cumulative Distribution Case.- Non-parametric Density Estimation Based on Label Semantics.- Empirical Comparisons of Goodness-of-Fit Tests for Binomial Distributions Based on Fuzzy Representations.- Mathematical Aspects.- A Generalization of Hukuhara Difference.- A Note about Bobylev’s Differential.- On Boundary Value Problems for Fuzzy Differential Equations.- On Fuzzy Sets Convolution, Fuzzy Lipschitz Sets and Triangular Fuzzy Sets of Rank p.- Generalised p-Boxes on Totally Ordered Spaces.- The F. Riesz Representation Theorem and Finite Additivity.- Set-Valued Stochastic Integrals with Respect to a Real Valued Martingale.- On Stochastic Differential Equations with Fuzzy Set Coefficients.- Strong Solution of Set-Valued Stochastic Differential Equation.- Convergences of Random Variables with Respect to Coherent Upper Probabilities Defined by Hausdorff Outer Measures.- On Convergence in Necessity and Its Laws of Large Numbers.- The Omnipresence of Cycle-Transitivity in the Comparison of Random Variables.- Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures.- On Transformations between Belief Spaces.- Lower and Upper Covariance.- Some Properties of the d K -Variance for Interval-Valued Random Sets.- Triangular Conorms on the Space of Non-decreasing Lists of Non-negative Real Numbers.- On Patchwork Techniques for 2-Increasing Aggregation Functions and Copulas.- Engineering.- A Hierarchical Fusion of Expert Opinion in the TBM.- Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis.- Handling Uncertainty in Higher Dimensions with Potential Clouds towards Robust Design Optimization.- Reliability of Structures under Consideration of Uncertain Time-Dependent Material Behaviour.- A New Insight into the Linguistic Summarization of Time Series Via a Degree of Support: Elimination of Infrequent Patterns.- An Autoregressive Model with Fuzzy Random Variables.- Tackling Multiple-Instance Problems in Safety-Related Domains by Quasilinear SVM.- An Efficient Normal Form Solution to Decision Trees with Lower Previsions.- Group Decision Making with Soft AHP Based on the Random Set View of Fuzzy Sets.