Soft Methodology And Random Information Systems

by Lopez-Diaz, Miguel; Gil, Maria A.; Grzegorzewski, Przemyslaw; Hyrniewicz, Olgierd; Lawry, Jonathan

• ISBN13: 9783540222644
• ISBN10: 3540222642
• Format: Paperback
• Copyright: 2004-10-31
• Publisher: Springer Nature

Summary

The analysis of experimental data resulting from some underlying random process is a fundamental part of most scientific research. Probability Theory and Statistics have been developed as flexible tools for this analyis, and have been applied successfully in various fields such as Biology, Economics, Engineering, Medicine or Psychology. However, traditional techniques in Probability and Statistics were devised to model only a singe source of uncertainty, namely randomness. In many real-life problems randomness arises in conjunction with other sources, making the development of additional "softening" approaches essential. This book is a collection of papers presented at the 2nd International Conference on Soft Methods in Probability and Statistics (SMPS'2004) held in Oviedo, providing a comprehensive overview of the innovative new research taking place within this emerging field.

Table of Contents

Part I Keynote Papers
Probability Theory Should be Based on Fuzzy Logic - A Contentious View
Lotfi A. Zadeh	3	(5)
Applications of Random Sets in Image Analysis. How to Average a Cat and a Dog?
Ilya S. Molchanov	8	(11)
Choquet Weak Convergence of Capacity Functionals of Random Sets
Hung T. Nguyen	19	(13)
On Limit Theorems for Random Fuzzy Sets Including Large Deviation Principles
Yukio Ogura and Shoumei Li	32	(13)
Fuzzy Probability and Some Applications
Dan A. Ralescu	45	(5)
Development and Maintenance of Fuzzy Models in Financial Applications
Piero P. Bonissone	50	(17)
Information Mining with Semi-Supervised Learning
Aljoscha Klose and Rudolf Kruse	67	(10)
Part II Soft Methodology and Probability
On Statistical Inference with Random Sets
Ding Feng and Hung T. Nguyen	77	(8)
Interval-Valued and Fuzzy-Valued Random Variables: From Computing Sample Variances to Computing Sample Covariances
Jan B. Beck, Vladik Kreinovich and Berlin Wu	85	(8)
Estimability and Admissibility in Sample Survey Models
Elbert A. Walker	93	(8)
Riesz Space and Fuzzy Upcrossing Theorems
Wen-Chi Kuo, Coenraad C.A. Labuschagne and Bruce A. Watson	101	(8)
On Laws of Large Numbers for Exchangeable Random Sets
Hiroshi Inoue	109	(8)
Strong and Weak Laws of Large Numbers for Weighted Sums of Fuzzy Set-Valued Random Variables
Li Guan and Shoumei Li	117	(8)
Assessing Debris Flow Hazard by Credal Nets
Alessandro Antonucci, Andrea Salvetti and Marco Zaffalon	125	(8)
A Possibilistic Interpretation of the Expectation of a Fuzzy Random Variable
Inés Couso, Enrique Miranda and Gert de Cooman	133	(8)
Learning and Optimal Control of Imprecise Markov Decision Processes by Dynamic Programming Using the Imprecise Dirichlet Model
Matthias C.M. Troffaes	141	(8)
Representation of Incomplete Probabilistic Information
Cédric Baudrit, Didier Dubois and Hélène Fargier	149	(8)
Range of Entropy for Credal Sets
Joaquin Abellán and Serafin Moral	157	(8)
From the Comparison of Ordered Lists to the Construction of Copulas
Bernard De Baets and Hans De Meyer	165	(8)
Compatibility of Three Bivariate Quasi-Copulas: Applications to Copulas
José Antonio Rodriguez-Lallena and Manuel Úbeda-Flores	173	(8)
Transformations of Copulas and Quasi-Copulas
Erich Peter Klement, Radko Mesiar and Endre Pap	181	(8)
Compositions of Copulas and Quasi-Copulas
Fabrizio Durante and Carlo Sempi	189	(8)
Countably Generated Idempotent Copulas
Angela Albanese and Carlo Sempi	197	(8)
1-Lipschitz Aggregation Operators, Quasi-Copulas and Copulas with Given Diagonals
Erich Peter Klement and Anna Kolesárová	205	(7)
Few Remarks Concerning a Concept to Define Normally Distributed Random Fuzzy Sets
Volker Krätschmer and Joachim Oberlinger	212	(7)
Fuzzy Integrals on Partially-Known Measures
M. Jorge Bolaños and Fernando Reche	219	(8)
Characterization of the Scalar (s,t)-Additive Measures: Probabilities and Cardinalities
Jaume Casasnovas	227	(8)
On Pareto Process
K. Jayakumar	235	(8)
Representation of Probabilities on IFS Events
Beloslav Riecan	243	(6)
Possibilistic Time Processes and Soft Decoding
Andrea Sgarro	249	(8)
Some Aspects of Conditioning in a Coherent Setting
Giulianella Coletti and Romano Scozzafava	257	(8)
The Role of Zero Probabilities in Dealing with Zero Frequency Problems
Romano Scozzafava and Barbara Vantaggi	265	(8)
Generalized Stochastic Transitivity for Probabilistic Relations
Hans De Meyer and Bernard De Baets	273	(8)
The Concept of Non-Symmetric Independence on MV-Algebras
Martin Kalina and Olga Nánásiová	281	(8)
On Limit Theorems for t-Normed Sums of Fuzzy Random Variables
Pedro Terán	289	(10)
Part III Soft Methodology and Statistics/OR
Phi-Residual Based on Minimum Phi-Divergence Estimator in the Loglinear Model of Symmetry
Arjun K. Gupta, True T. Nguyen and Leandro Pardo	299	(8)
Bahadur Efficiency of the Phi-Divergence Test Statistic
Leandro Pardo	307	(8)
Digitalization of Observations Permits Efficient Estimation in Continuous Models
Domingo Morales, Leandro Pardo and Igor Vajda	315	(8)
Kø, Divergence Statistics in Multinomial Populations
Teresa Pérez and Julio Angel Pardo	323	(8)
On the Selection of the Best Rukhin's Statistic for the Uniform Exact Distribution Function
Yolanda Marhuenda, Domingo Morales, Julio Angel Pardo and Maria del Carmen Pardo	331	(8)
On Testing Hypotheses with Divergence Statistics
Isabel Molina and Domingo Morales	339	(8)
Testing a Hierarchical Sequence of Linear Logistic Models
Julio Angel Pardo and Maria del Carmen Pardo	347	(8)
Inference for Three-Dimensional Contingency Tables Based on Ø;1-Divergences
Julio Angel Pardo	355	(8)
Information Theory and Complexity in Probability and Statistics
Flemming Topsøe	363	(8)
Measures of Multivariate Association and Dependence
Apostolos Batsidis and Konstantinos Zografos	371	(8)
Phi-Divergence Test Statistics for Trends in Binary Responses
Maria Luisa Menéndez	379	(8)
A Random Set View on Fuzzy Random Variables
Wolfgang Näther	387	(5)
Fuzzy Information and Bayesian Statistics
Dietmar Hareter and Reinhard Viertl	392	(7)
Fuzzy Probability Distributions
Wolfgang Trutschnig and Dietmar Hareter	399	(8)
Least Squares Estimation in Linear Regression Models with Vague Concepts
Volker Krätschmer	407	(8)
Testing One-Sided Hypotheses for the Expectation of Fuzzy Random Variables
Andreas Wünsche	415	(8)
The Zonoid Hull of a Multivariate Probability Distribution and its Trimmed Regions
Ignacio Cascos-Fernández and Miguel López-Diaz	423	(8)
Bootstrap Approach to Test the Linear Independence between Interval-valued Random Sets
Manuel Montenegro, Gil González-Rodriguez, Ana Colubi and Maria Angeles Gil	431	(8)
Detection of Influential Case in Fuzzy Regression
Alper Basaran and Suleyman Gunay	439	(8)
A Proposal of Fuzzy Correspondence Analysis Based on Flexible Data Mining Techniques
Julio Calero, Gabriel Delgado, José-Maria Serrano, Daniel Sánchez and Maria-Amparo Vila	447	(8)
Uncertainty Measures and Hierarchical Classification
Carlo Bertoluzza and Sergio De Simoni	455	(8)
Informational Paradigm and Entropy-Based Dynamic Clustering in a Complete Fuzzy Framework
Renato Coppi, Pierpaolo D'Urso and Paolo Giordani	463	(8)
Induction of Fuzzy Prototypes with Feature Selection
Inés González Rodriguez and Jonathan Lawry	471	(8)
A Comparison of Variable Selection Methods with the Main Focus on Orthogonalization
Werner Groißböck, Edwin Lughofer and Erich Peter Klement	479	(8)
Introduction to ANOVA with Fuzzy Random Variables
Manuel Montenegro, Gil González-Rodriguez, Maria Angeles Gil, Ana Colubi and Maria Rosa Casals	487	(8)
Distribution-Free Tests for Vague Data
Przemyslaw Grzegorzewski	495	(8)
Measures of Association for Fuzzy Ordered Categorical Data
Olgierd Hryniewicz	503	(8)
Designing Confidence Intervals under Vague Information
Edyta Mrówka	511	(8)
Decision Rules for Bayesian Hierarchical Classifier with Fuzzy Factor
Robert Burduk	519	(8)
k-Intolerant Bi-Capacities and Veto Criteria
Michel Grabisch, Christophe Labreuche, Jean Luc Marichal and Pedro Miranda	527	(8)
On the Notion of Statistical Fuzzy Entropy
Jan van den Berg and Uzay Kaymak	535	(8)
Fuzzy Extended Lexicographic Goal Programming
Mar Arenas, Amelia Bilbao, Blanca Pérez-Gladish and M. Victoria Rodriguez-Uria	543	(8)
Fuzzy Dynamic Programming with Stochastic Systems under Various Aggregation Operators: Solvability and Perceived Meaning
Janusz Kacprzyk	551	(8)
Interval Fuzzy Bayesian Inference
Juan M. León-Rojas and Montaña Morales	559	(8)
Inconsistency Analysis for Statistical Tests of Hypotheses
Julio Michael Stern	567	(8)
An Alternative Criterion to Likelihood for Parameter Estimation Accounting for a Prior Information on a Nuisance Parameter
Adel Mohammadpour and Ali Mohammad-Djafari	575	(6)
Application of Regime-Switching Models of Time Series with Cubic Spline Transition Function
Tomas Bognár, Jozef Komornik and Magda Komorniková	581	(8)
Identification of the Structure of Linear and Non-Linear Time Series Models, Using Nonparametric Local Linear Kernel Estimation
Rosane M. Kirchner, Reinaldo C. Souza and Flávio A. Ziegelmann	589	(8)
Neural Networks and Statistics: A Review of the Literature Maria del Mar
Rodriguez del Aguila, Ignacio Requena, José Luis Bernier, Eduardo Ros and Sonia Mota	597	(8)
Multivariate Imputation of Qualitative Missing Data Using Bayesian Networks
Vanessa Romero and Antonio Salmerón	605	(8)
Towards the Optimal Feature Selection in High-Dimensional Bayesian Network Classifiers
Tatjana Pavlenko, Mikael Hall, Dietrich von Rosen and Zhanna Andrushchenko	613	(8)
Addition Nodes in Influence Diagrams with Fuzzy-Valued Utilities and Variables
Miguel López-Diaz and Luis J. Rodriguez-Muñiz	621	(10)
Part IV Foundations of Soft Methodology with Stochastic Implications
Fuzzy Differential Inclusion: An Application to Epidemiology
Laécio C. Barros, Rodney C. Bassanezi and Renata Z.G. De Oliveira	631	(7)
About Weakly Locally Compact Spaces
Tomas K. Breuckmann, Soraya R.T. Kudri and Halis Aygün	638	(7)
Hadamard and Jensen Inequalities for s-Convex Fuzzy Processes
Rafaela Osuna-Gómez, Maria Dolores Jiménez-Camera, Yurilev Chalco-Cano and Marko Antonio Rojas-Medar	645	(8)
Continuity for s-Convex Fuzzy Processes
Juliana Cervelati, Maria Dolores Jiménez-Gamero, Filidor Vilca-Labra and Marko Antonio Rojas-Medar	653	(8)
Fuzzy Solution for Approximating Constrained Optimal PWM Using Quantum Evolutionary Algorithm
Shiyan Hu, Han Huang and Dariusz Czarkowski	661	(8)
A Note on Chaos in Fuzzy Systems
Heriberto Román-Flores and Yurilev Chalco-Cano	669	(8)
Part V Applications Combining Soft and Stochastic Methodologies
The Double Quadratic Uncertainty Measures and Their Economic Applications
Mercedes Alvargonzález-Rodriguez, Ana Jesus López-Menéndez and Rigoberto Pérez-Suárez	677	(8)
Medium-Term Electricity Generation with Fuzzy Availability
P. Alberto Campos and José Villar	685	(8)
Enhanced QTL Linkage Analysis with DNA Pooling by Means of Monte Carlo EM
Carlos Carleos, Norberto Corral, M. Asunción Lubiano and Jesús Angel Baro	693	(8)
Characterization of Human Electrocardiogram by Analyses of Phase Attributes
G.V.S. Chiranjivi and D. NagChoudhuri	701	(8)
A Posteriori Inference of Model Parameters in a Geophysical Inverse Problem Using GA
J. Paulino Fernández-Álvarez, Juan Luis Fernández-Martinez and C. Omar Menéndez-Pérez	709	(8)
Bayesian Networks to Improve the Balanced Scorecard
José Luis Flórez	717	(8)
Classification Techniques, Sample Size and Predictive Performance: A Comparative Analysis Based on a Spanish Case
Manuel Landajo	725	(8)
Metapopulations Study with Subjective Biotic and Abiotic Processes
Karine F. Magnago and Rodney C. Bassanezi	733	(8)
Fuzzy Rule Generation in Hydrological Modelling
Jonathan Lawry, Dawei Han and Ian D. Cluckie	741	(8)
Robust Change Detection Method Using Akaike Information Criterion for Signal Segmentation
Theodor D. Popescu	749	(8)
Index	757	(4)
Errata list	761