4. SMPS 2008: Toulouse, France

Didier Dubois, María Asunción Lubiano, Henri Prade, María Angeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz (Eds.): Soft Methods for Handling Variability and Imprecision, Selected papers from the 4th International Conference on Soft Methods in Probability and Statistics, SMPS 2008, Toulouse, France, September 8-10, 2008. Advances in Soft Computing 48 Springer 2008, ISBN 978-3-540-85026-7 BibTeX

Invited Papers

Jean-Marc Bernard:
Imprecise Probabilistic Prediction for Categorical Data: From Bayesian Inference to the Imprecise Dirichlet-Multinomial Model. 3-9
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Reinhard Viertl:
Fuzzy Bayesian Inference. 10-15
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Dominique Guyonnet, Gaël Bellenfant, Olivier Bouc:
Soft Methods for Treating Uncertainties: Applications in the Field of Environmental Risks. 16-26
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Jean-Paul Auray, Henri Prade:
Robert Féron: A Pioneer in Soft Methods for Probability and Statistics. 27-32
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Foundations

Jonathan Lawry, Yongchuan Tang:
Relating Prototype Theory and Label Semantics. 35-42
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Marco E. G. V. Cattaneo:
Fuzzy Probabilities Based on the Likelihood Function. 43-50
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Giulianella Coletti, Romano Scozzafava, Barbara Vantaggi:
Possibility Measures in Probabilistic Inference. 51-58
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Andrew Schumann:
Non-well-Founded Probabilities on Streams. 59-65
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Sébastien Destercke, Gert de Cooman:
Relating Epistemic Irrelevance to Event Trees. 66-73
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Carl G. Wagner:
Probability Revision, the Uniformity Rule, and the Chan-Darwiche Metric. 74-79
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Statistical Methods

Statistical Inference

Frank P. A. Coolen:
On Nonparametric Predictive Inference for Bernoulli Quantities with Set-Valued Data. 85-91
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Gilles Mauris:
Inferring a Possibility Distribution from Very Few Measurements. 92-99
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Przemyslaw Grzegorzewski:
Statistics with Vague Data and the Robustness to Data Representation. 100-107
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Statistical Tests

Ángela Blanco, Ana Colubi, Norberto Corral, Gil González-Rodríguez:
On a Linear Independence Test for Interval-Valued Random Sets. 111-117
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Arturo Erdely, José M. González-Barrios:
A Small-Sample Nonparametric Independence Test for the Archimedean Family of Bivariate Copulas. 118-125
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Inés Couso, Luciano Sánchez:
Defuzzification of Fuzzy p-Values. 126-132
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Manuel Montenegro, María Rosa Casals, Ana Colubi, María Angeles Gil:
Testing 'Two-Sided' Hypothesis about the Mean of an Interval-Valued Random Set. 133-139
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Ana Belén Ramos, Gil González-Rodríguez, Ana Colubi, María Angeles Gil:
Asymptotic Tests for the Variance of a Fuzzy Random Variable Using the DK-Metric. 140-146
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María Asunción Lubiano, Ana Colubi, Gil González-Rodríguez:
Empirical Results Concerning a Fuzzy-Based Measure of Symmetry of Real Random Variables. 147-154
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Olgierd Hryniewicz, Anna Szediw:
Fuzzy Kendall tau Statistic for Autocorrelated Data. 155-162
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Estimation

Etienne Côme, Latifa Oukhellou, Thierry Denoeux, Patrice Aknin:
Mixture Model Estimation with Soft Labels. 165-174
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Kevin Loquin, Olivier Strauss:
Imprecise Functional Estimation: The Cumulative Distribution Case. 175-182
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Jonathan Lawry, Inés González Rodríguez:
Non-parametric Density Estimation Based on Label Semantics. 183-189
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Ana Colubi, María Angeles Gil, Gil González-Rodríguez, María Teresa López:
Empirical Comparisons of Goodness-of-Fit Tests for Binomial Distributions Based on Fuzzy Representations. 190-197
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Mathematical Aspects

Invited Session: Fuzzy Set-Valued Analysis

Luciano Stefanini:
A Generalization of Hukuhara Difference. 203-210
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Luis J. Rodríguez-Muñiz:
A Note about Bobylev's Differential. 211-217
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Rosana Rodríguez-López:
On Boundary Value Problems for Fuzzy Differential Equations. 218-225
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Andrés D. Báez-Sánchez, Marko Antonio Rojas-Medar:
On Fuzzy Sets Convolution, Fuzzy Lipschitz Sets and Triangular Fuzzy Sets of Rank p. 226-231
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Measure Theory

Enrique Miranda, Matthias C. M. Troffaes, Sébastien Destercke:
Generalised p-Boxes on Totally Ordered Spaces. 235-242
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Gert de Cooman, Enrique Miranda:
The F. Riesz Representation Theorem and Finite Additivity. 243-252
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Jinping Zhang:
Set-Valued Stochastic Integrals with Respect to a Real Valued Martingale. 253-259
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Differential Equations

Yukio Ogura:
On Stochastic Differential Equations with Fuzzy Set Coefficients. 263-270
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Jungang Li, Shoumei Li:
Strong Solution of Set-Valued Stochastic Differential Equation. 271-277
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Convergence Results

Serena Doria:
Convergences of Random Variables with Respect to Coherent Upper Probabilities Defined by Hausdorff Outer Measures. 281-288
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Pedro Terán:
On Convergence in Necessity and Its Laws of Large Numbers. 289-296
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Combinatorics of Imprecise Probabilities

Bernard De Baets, Hans De Meyer, Karel De Loof:
The Omnipresence of Cycle-Transitivity in the Comparison of Random Variables. 299-305
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Tomás Kroupa:
Geometry of Cores of Submodular Coherent Upper Probabilities and Possibility Measures. 306-312
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Ralph L. Wojtowicz:
On Transformations between Belief Spaces. 313-320
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Variance in Generalized Probability Representations

Erik Quaeghebeur:
Lower and Upper Covariance. 323-330
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Ángela Blanco, Norberto Corral, Gil González-Rodríguez, María Asunción Lubiano:
Some Properties of the dK-Variance for Interval-Valued Random Sets. 331-337
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Aggregation Functions

Isabel Aguiló, Javier Martín, Gaspar Mayor, Jaume Suñer:
Triangular Conorms on the Space of Non-decreasing Lists of Non-negative Real Numbers. 341-348
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Fabrizio Durante, Susanne Saminger-Platz, Peter Sarkoci:
On Patchwork Techniques for 2-Increasing Aggregation Functions and Copulas. 349-356
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Engineering

Computational Methods

Minh Ha-Duong:
A Hierarchical Fusion of Expert Opinion in the TBM. 361-368
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Uwe Reuter:
Application of Non-convex Fuzzy Variables to Fuzzy Structural Analysis. 369-375
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Martin Fuchs, Arnold Neumaier:
Handling Uncertainty in Higher Dimensions with Potential Clouds towards Robust Design Optimization. 376-382
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Steffen Freitag, Wolfgang Graf, Stephan Pannier, Jan-Uwe Sickert:
Reliability of Structures under Consideration of Uncertain Time-Dependent Material Behaviour. 383-390
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Data Analysis

Janusz Kacprzyk, Anna Wilbik:
A New Insight into the Linguistic Summarization of Time Series Via a Degree of Support: Elimination of Infrequent Patterns. 393-400
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Dabuxilatu Wang:
An Autoregressive Model with Fuzzy Random Variables. 401-408
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Christian Moewes, Clemens Otte, Rudolf Kruse:
Tackling Multiple-Instance Problems in Safety-Related Domains by Quasilinear SVM. 409-416
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Decision-Making

Nathan Huntley, Matthias C. M. Troffaes:
An Efficient Normal Form Solution to Decision Trees with Lower Previsions. 419-426
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Pedro Terán, José María Moreno-Jiménez:
Group Decision Making with Soft AHP Based on the Random Set View of Fuzzy Sets. 427-434
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