Grzegorzewski P., Hryniewicz O., Ángeles Gil M.A. (eds.) Soft Methods in Probability, Statistics and Data Analysis

Geidelberg: Physica-Verlag, 2002. — 376 p.Classical probability theory and mathematical statistics appear sometimes too rigid for real life problems, especially while dealing with vague data or imprecise requirements. These problems have motivated many researchers to "soften" the classical theory. Some "softening" approaches utilize concepts and techniques developed in theories such as fuzzy sets theory, rough sets, possibility theory, theory of belief functions and imprecise probabilities, etc. Since interesting mathematical models and methods have been proposed in the frameworks of various theories, this text brings together experts representing different approaches used in soft probability, statistics and data analysis.Quantitative Possibility Theory and its Probabilistic Connections
Toward a Perception-Based Theory of Probabilistic Reasoning with Imprecise ProbabilitiesIndependence and Conditioning in a Connectivistic Fuzzy Logic Framework
About Ideals on the Set of Fuzzy Measures
Operators for Convolution of Fuzzy Measures
Probabilities of Fuzzy Events Based on Scalar Cardinalities
On the Variation of the f -Inequality of a Random Variable
Probability of Intuitionistic Fuzzy Events
A New Calculus for Linguistic Prototypes in Data Analysis
Upper Probabilities and Selectors of Random Sets
On Multivalued Logic and Probability Theory
Reversing the Order of Integration in Iterated Expectations of Compact Convex Random Sets
Lower Previsions for Unbounded Random Variables
A Hierarchical Uncertainty Model under Essentially Incomplete Information
Imprecise Calculation with the Qualitative Information about Probability Distributions
Approximation of Belief Functions by Minimizing Euclidean Distances
Variants of Defining the Cardinalities of Fuzzy SetsProbabilistic Reasoning in Fuzzy Rule-Based Systems
Acceptance Sampling Plans by Variables for Vague Data
Possibilistic Approach to the Bayes Statistical DecisionsFuzzy Comparison of Frequency Distributions
Test of One-Sided Hypotheses on the Expected Value of a Fuzzy Random Variable
Blackwell Sufficiency and Fuzzy Experiments
Optimal Stopping in Fuzzy Stochastic Processes and its Application to Option Pricing in Financial EngineeringFuzzy Conjoint Analysis
Grade Analysis of Repeated Multivariate Measurements
A Contribution to Stochastic Modeling Volcanic Petroleum Reservoir
Improving the Quality of Association Rule Mining by Means of Rough Sets
Towards Fuzzy c-means Based Microaggregation
Statistical Profiles of Words for Ontology Enrichment
Quest on New Applications for Dempster-Shafer Theory: Risk Analysis in Project Profitability Calculus
Decision Making Based on Informational Variables
An Algorithm for Identifying Fuzzy Measures with Ordinal Information
Exploring an Alternative Method for Handling Inconsistency in the Fusion of Expert and Learnt Information
Approximate Reasoning Schemes: Classifiers for Computing with Words
Using Consensus Methods to User Classification in Interactive Systems
Aggregation Methods to Evaluate Multiple Protected Versions of the Same Confidential Data Set
On Multivariate Fuzzy Time Series Analysis and Forecasting