Soft Methods in Probability, Statistics and Data Analysis : Advances in Soft Computing - Przemyslaw Grzegorzewski

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Soft Methods in Probability, Statistics and Data Analysis

By: Przemyslaw Grzegorzewski (Editor), Olgierd Hryniewicz (Editor), Maria A. Gil (Editor)

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Paperback | 1 December 2001

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384 Pages

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23.5 x 15.24 x 2.54

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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.

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Quantitative Possibility Theory and its Probabilistic Connections	p. 3
Toward a Perception-Based Theory of Probabilistic Reasoning with Imprecise Probabilities	p. 27
Independence and Conditioning in a Connectivistic Fuzzy Logic Framework	p. 65
About Ideals on the Set of Fuzzy Measures	p. 76
Operators for Convolution of Fuzzy Measures	p. 84
Probabilities of Fuzzy Events Based on Scalar Cardinalities	p. 92
On the Variation of the f-Inequality of a Random Variable	p. 98
Probability of Intuitionistic Fuzzy Events	p. 105
A New Calculus for Linguistic Prototypes in Data Analysis	p. 116
Upper Probabilities and Selectors of Random Sets	p. 126
On Multivalued Logic and Probability Theory	p. 134
Reversing the Order of Integration in Iterated Expectations of Compact Convex Random Sets	p. 140
Lower Previsions for Unbounded Random Variables	p. 146
A Hierarchical Uncertainty Model under Incomplete Information	p. 156
Imprecise Calculation with the Qualitative Information about Probability Distributions	p. 164
Approximation of Belief Functions by Minimizing Euclidean Distances	p. 170
Variants of Defining the Cardinalities of Fuzzy Sets	p. 178
Probabilistic Reasoning in Fuzzy Rule-Based Systems	p. 189
Acceptance Sampling Plans by Variables for Vague Data	p. 197
Possibilistic Approach to Bayes Statistical Decisions	p. 207
Fuzzy Comparison of Frequency Distributions	p. 219
Test of One-Sided Hypotheses on the Expected Value of a Fuzzy Random Variable	p. 228
Blackwell Sufficiency and Fuzzy Experiments	p. 236
Optimal Stopping in Fuzzy Stochastic Processes and its Application to Option Pricing in Financial Engineering	p. 244
Fuzzy Conjoint Analysis	p. 255
Grade Analysis of Repeated Multivariate Measurements	p. 266
A Contribution to Stochastic Modeling of Volcanic Petroleum Reservoir	p. 274
Improving the Quality of Association Rule Mining by Means of Rough Sets	p. 281
Towards Fuzzy c-means Based Microaggregation	p. 289
Statistical Profiles of Words for Ontology Enrichment	p. 295
Quest on New Applications for Dempster-Schafer Theory: Risk Analysis in Project Profitability Calculus	p. 302
Decision Making Based on Informational Variables	p. 310
An Algorithm for Identifying Fuzzy Measures with Ordinal Information	p. 321
Exploring an Alternative Method for Handling Inconsistency in the Fusion of Expert and Learnt Information	p. 329
Approximate Reasoning Schemes: Classifiers for Computing with Words	p. 338
Using Consensus Methods to User Classification in Interactive Systems	p. 346
Aggregation Methods to Evaluate Multiple Protected Versions of the Same Confidential Data Set	p. 355
On Multivariate Fuzzy Time Series Analysis and Forecasting	p. 363
Table of Contents provided by Blackwell. All Rights Reserved.

Soft Methods in Probability, Statistics and Data Analysis

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