Soft Methodology and Random Information Systems

Front Matter....Pages I-XIV
Front Matter....Pages 1-1
Probability Theory Should be Based on Fuzzy Logic — A Contentious View....Pages 3-7
Applications of Random Sets in Image Analysis. How to Average a Cat and a Dog?....Pages 8-18
Choquet Weak Convergence of Capacity Functionals of Random Sets....Pages 19-31
On Limit Theorems for Random Fuzzy Sets Including Large Deviation Principles....Pages 32-44
Fuzzy Probability and Some Applications....Pages 45-49
Development and Maintenance of Fuzzy Models in Financial Applications....Pages 50-66
Information Mining with Semi-Supervised Learning....Pages 67-74
Front Matter....Pages 75-75
On Statistical Inference with Random Sets....Pages 77-84
Interval-Valued and Fuzzy-Valued Random Variables: From Computing Sample Variances to Computing Sample Covariances....Pages 85-92
Estimability and Admissibility in Sample Survey Models....Pages 93-100
Riesz Space and Fuzzy Upcrossing Theorems....Pages 101-108
On Laws of Large Numbers for Exchangeable Random Sets....Pages 109-116
Strong and Weak Laws of Large Numbers for Weighted Sums of Fuzzy Set-Valued Random Variables....Pages 117-124
Assessing Debris Flow Hazard by Credal Nets....Pages 125-132
A Possibilistic Interpretation of the Expectation of a Fuzzy Random Variable....Pages 133-140
Learning and Optimal Control of Imprecise Markov Decision Processes by Dynamic Programming Using the Imprecise Dirichlet Model....Pages 141-148
Representation of Incomplete Probabilistic Information....Pages 149-156
Range of Entropy for Credal Sets....Pages 157-164
From the Comparison of Ordered Lists to the Construction of Copulas....Pages 165-172
Compatibility of Three Bivariate Quasi-Copulas: Applications to Copulas....Pages 173-180
Front Matter....Pages 75-75
Transformations of Copulas and Quasi-Copulas....Pages 181-188
Compositions of Copulas and Quasi-Copulas....Pages 189-196
Countably Generated Idempotent Copulas....Pages 197-204
1-Lipschitz Aggregation Operators, Quasi-Copulas and Copulas with Given Diagonals....Pages 205-211
Few Remarks Concerning a Concept to Define Normally Distributed Random Fuzzy Sets ....Pages 212-218
Fuzzy Integrals on Partially-Known Measures....Pages 219-226
Characterization of the Scalar (s,t)-Additive Measures: Probabilities and Cardinalities....Pages 227-234
On Pareto Process....Pages 235-242
Representation of Probabilities on IFS Events....Pages 243-248
Possibilistic Time Processes and Soft Decoding....Pages 249-256
Some Aspects of Conditioning in a Coherent Setting....Pages 257-264
The Role of Zero Probabilities in Dealing with Zero Frequency Problems....Pages 265-272
Generalized Stochastic Transitivity for Probabilistic Relations....Pages 273-280
The Concept of Non-Symmetric Independence on MV-Algebras....Pages 281-288
On Limit Theorems for t-Normed Sums of Fuzzy Random Variables....Pages 289-296
Front Matter....Pages 297-297
Phi-Residual Based on Minimum Phi-Divergence Estimator in the Loglinear Model of Symmetry....Pages 299-306
Bahadur Efficiency of the Phi-Divergence Test Statistic....Pages 307-314
 Digitalization of Observations Permits Efficient Estimation in Continuous Models....Pages 315-322
 K Ø Divergence Statistics in Multinomial Populations....Pages 323-330
On the Selection of the Best Rukhin’s Statistic for the Uniform Exact Distribution Function....Pages 331-338
Front Matter....Pages 297-297
On Testing Hypotheses with Divergence Statistics....Pages 339-346
Testing a Hierarchical Sequence of Linear Logistic Models....Pages 347-354
Inference for Three-Dimensional Contingency Tables Based on ø 1 —Divergences....Pages 355-362
Information Theory and Complexity in Probability and Statistics....Pages 363-370
Measures of Multivariate Association and Dependence....Pages 371-378
Phi-Divergence Test Statistics for Trends in Binary Responses....Pages 379-386
A Random Set View on Fuzzy Random Variables....Pages 387-391
Fuzzy Information and Bayesian Statistics....Pages 392-398
Fuzzy Probability Distributions....Pages 399-406
Least Squares Estimation in Linear Regression Models with Vague Concepts....Pages 407-414
Testing One-Sided Hypotheses for the Expectation of Fuzzy Random Variables....Pages 415-422
The Zonoid Hull of a Multivariate Probability Distribution and its Trimmed Regions....Pages 423-430
Bootstrap Approach to Test the Linear Independence between Interval-valued Random Sets....Pages 431-438
Detection of Influential Case in Fuzzy Regression....Pages 439-446
A Proposal of Fuzzy Correspondence Analysis Based on Flexible Data Mining Techniques....Pages 447-454
Uncertainty Measures and Hierarchical Classification....Pages 455-462
Informational Paradigm and Entropy-Based Dynamic Clustering in a Complete Fuzzy Framework....Pages 463-470
Induction of Fuzzy Prototypes with Feature Selection....Pages 471-478
A Comparison of Variable Selection Methods with the Main Focus on Orthogonalization....Pages 479-486
Introduction to ANOVA with Fuzzy Random Variables....Pages 487-494
Front Matter....Pages 297-297
Distribution-Free Tests for Vague Data....Pages 495-502
Measures of Association for Fuzzy Ordered Categorical Data....Pages 503-510
Designing Confidence Intervals under Vague Information....Pages 511-518
Decision Rules for Bayesian Hierarchical Classifier with Fuzzy Factor....Pages 519-526
 k -Intolerant Bi-Capacities and Veto Criteria....Pages 527-534
On the Notion of Statistical Fuzzy Entropy....Pages 535-542
Fuzzy Extended Lexicographic Goal Programming....Pages 543-550
Fuzzy Dynamic Programming with Stochastic Systems under Various Aggregation Operators: Solvability and Perceived Meaning....Pages 551-558
Interval Fuzzy Bayesian Inference....Pages 559-566
Inconsistency Analysis for Statistical Tests of Hypotheses....Pages 567-574
An Alternative Criterion to Likelihood for Parameter Estimation Accounting for a Prior Information on a Nuisance Parameter....Pages 575-580
Application of Regime-Switching Models of Time Series with Cubic Spline Transition Function....Pages 581-588
Identification of the Structure of Linear and Non-Linear Time Series Models, Using Nonparametric Local Linear Kernel Estimation....Pages 589-596
Neural Networks and Statistics: A Review of the Literature....Pages 597-604
Multivariate Imputation of Qualitative Missing Data Using Bayesian Networks....Pages 605-612
Towards the Optimal Feature Selection in High-Dimensional....Pages 613-620
Addition Nodes in Influence Diagrams with Fuzzy-Valued Utilities and Variables....Pages 621-627
Front Matter....Pages 629-629
Fuzzy Differential Inclusion: An Application to Epidemiology ....Pages 631-637
About Weakly Locally Compact Spaces....Pages 638-644
Hadamard and Jensen Inequalities for s -Convex Fuzzy Processes....Pages 645-652
Front Matter....Pages 629-629
Continuity for s -Convex Fuzzy Processes....Pages 653-660
Fuzzy Solution for Approximating Constrained Optimal PWM Using Quantum Evolutionary Algorithm....Pages 661-668
A Note on Chaos in Fuzzy Systems....Pages 669-674
Front Matter....Pages 675-675
The Double Quadratic Uncertainty Measures and Their Economic Applications....Pages 677-684
Medium-Term Electricity Generation with Fuzzy Availability....Pages 685-692
Enhanced QTL Linkage Analysis with DNA Pooling by Means of Monte Carlo EM....Pages 693-700
Characterization of Human Electrocardiogram by Analyses of Phase Attributes....Pages 701-708
A Posteriori Inference of Model Parameters in a Geophysical Inverse Problem Using GA....Pages 709-716
Bayesian Networks to Improve the Balanced Scorecard....Pages 717-724
Classification Techniques, Sample Size and Predictive Performance: A Comparative Analysis Based on a Spanish Case....Pages 725-732
Metapopulations Study with Subjective Biotic and Abiotic Processes....Pages 733-740
Fuzzy Rule Generation in Hydrological Modelling....Pages 741-748
Robust Change Detection Method Using Akaike Information Criterion for Signal Segmentation....Pages 749-756
Erratum to: The Role of Zero Probabilities in Dealing with Zero Frequency Problems....Pages 761-761
Erratum to: On Limit Theorems for t-Normed Sums of Fuzzy Random Variables....Pages 761-761
Erratum to: Distribution-Free Tests for Vague Data....Pages 761-761
Erratum to: Fuzzy Solution for Approximating Constrained Optimal PWM Using Quantum Evolutionary Algorithm....Pages 761-761
Back Matter....Pages 757-761