Soft Methods for Handling Variability and Imprecision

Front Matter....Pages -
Front Matter....Pages 1-1
Imprecise Probabilistic Prediction for Categorical Data: From Bayesian Inference to the Imprecise Dirichlet-Multinomial Model....Pages 3-9
Fuzzy Bayesian Inference....Pages 10-15
Soft Methods for Treating Uncertainties: Applications in the Field of Environmental Risks....Pages 16-26
Robert Féron: A Pioneer in Soft Methods for Probability and Statistics....Pages 27-32
Front Matter....Pages 33-33
Relating Prototype Theory and Label Semantics....Pages 35-42
Fuzzy Probabilities Based on the Likelihood Function....Pages 43-50
Possibility Measures in Probabilistic Inference....Pages 51-58
Non-well-Founded Probabilities on Streams....Pages 59-65
Relating Epistemic Irrelevance to Event Trees....Pages 66-73
Probability Revision, the Uniformity Rule, and the Chan–Darwiche Metric....Pages 74-79
Front Matter....Pages 81-81
On Nonparametric Predictive Inference for Bernoulli Quantities with Set-Valued Data....Pages 85-91
Inferring a Possibility Distribution from Very Few Measurements....Pages 92-99
Statistics with Vague Data and the Robustness to Data Representation....Pages 100-107
On a Linear Independence Test for Interval-Valued Random Sets....Pages 111-117
A Small-Sample Nonparametric Independence Test for the Archimedean Family of Bivariate Copulas....Pages 118-125
Defuzzification of Fuzzy p-Values....Pages 126-132
Testing ‘Two-Sided’ Hypothesis about the Mean of an Interval-Valued Random Set....Pages 133-139
Asymptotic Tests for the Variance of a Fuzzy Random Variable Using the D K -Metric....Pages 140-146
Empirical Results Concerning a Fuzzy-Based Measure of Symmetry of Real Random Variables....Pages 147-154
Fuzzy Kendall $\\pmb\\tau$ Statistic for Autocorrelated Data....Pages 155-162
Front Matter....Pages 81-81
Mixture Model Estimation with Soft Labels....Pages 165-174
Imprecise Functional Estimation: The Cumulative Distribution Case....Pages 175-182
Non-parametric Density Estimation Based on Label Semantics....Pages 183-189
Empirical Comparisons of Goodness-of-Fit Tests for Binomial Distributions Based on Fuzzy Representations....Pages 190-197
Front Matter....Pages 199-199
The Omnipresence of Cycle-Transitivity in the Comparison of Random Variables....Pages 299-305
Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures....Pages 306-312
On Transformations between Belief Spaces....Pages 313-320
A Generalization of Hukuhara Difference....Pages 203-210
A Note about Bobylev’s Differential....Pages 211-217
On Boundary Value Problems for Fuzzy Differential Equations....Pages 218-225
On Fuzzy Sets Convolution, Fuzzy Lipschitz Sets and Triangular Fuzzy Sets of Rank p....Pages 226-231
Lower and Upper Covariance....Pages 323-330
Some Properties of the d K -Variance for Interval-Valued Random Sets....Pages 331-337
Generalised p-Boxes on Totally Ordered Spaces....Pages 235-242
The F. Riesz Representation Theorem and Finite Additivity....Pages 243-252
Set-Valued Stochastic Integrals with Respect to a Real Valued Martingale....Pages 253-259
On Stochastic Differential Equations with Fuzzy Set Coefficients....Pages 263-270
Strong Solution of Set-Valued Stochastic Differential Equation....Pages 271-277
Convergences of Random Variables with Respect to Coherent Upper Probabilities Defined by Hausdorff Outer Measures....Pages 281-288
On Convergence in Necessity and Its Laws of Large Numbers....Pages 289-296
Front Matter....Pages 199-199
Triangular Conorms on the Space of Non-decreasing Lists of Non-negative Real Numbers....Pages 341-348
On Patchwork Techniques for 2-Increasing Aggregation Functions and Copulas....Pages 349-356
Front Matter....Pages 357-357
A Hierarchical Fusion of Expert Opinion in the TBM....Pages 361-368
Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis....Pages 369-375
Handling Uncertainty in Higher Dimensions with Potential Clouds towards Robust Design Optimization....Pages 376-382
Reliability of Structures under Consideration of Uncertain Time-Dependent Material Behaviour....Pages 383-390
A New Insight into the Linguistic Summarization of Time Series Via a Degree of Support: Elimination of Infrequent Patterns....Pages 393-400
An Autoregressive Model with Fuzzy Random Variables....Pages 401-408
Tackling Multiple-Instance Problems in Safety-Related Domains by Quasilinear SVM....Pages 409-416
An Efficient Normal Form Solution to Decision Trees with Lower Previsions....Pages 419-426
Group Decision Making with Soft AHP Based on the Random Set View of Fuzzy Sets....Pages 427-434
Back Matter....Pages -