Soft Methods in Probability, Statistics and Data Analysis

Front Matter....Pages I-X
Front Matter....Pages 1-1
Quantitative Possibility Theory and its Probabilistic Connections....Pages 3-26
Toward a Perception-Based Theory of Probabilistic Reasoning with Imprecise Probabilities....Pages 27-61
Front Matter....Pages 63-63
Independence and Conditioning in a Connectivistic Fuzzy Logic Framework....Pages 65-75
About Ideals on the Set of Fuzzy Measures....Pages 76-83
Operators for Convolution of Fuzzy Measures....Pages 84-91
Probabilities of Fuzzy Events Based on Scalar Cardinalities....Pages 92-97
On the Variation of the f -Inequality of a Random Variable....Pages 98-104
Probability of Intuitionistic Fuzzy Events....Pages 105-115
A New Calculus for Linguistic Prototypes in Data Analysis....Pages 116-125
Upper Probabilities and Selectors of Random Sets....Pages 126-133
On Multivalued Logic and Probability Theory....Pages 134-139
Reversing the Order of Integration in Iterated Expectations of Compact Convex Random Sets....Pages 140-145
Lower Previsions for Unbounded Random Variables....Pages 146-155
A Hierarchical Uncertainty Model under Essentially Incomplete Information....Pages 156-163
Imprecise Calculation with the Qualitative Information about Probability Distributions....Pages 164-169
Approximation of Belief Functions by Minimizing Euclidean Distances....Pages 170-177
Variants of Defining the Cardinalities of Fuzzy Sets....Pages 178-185
Front Matter....Pages 187-187
Probabilistic Reasoning in Fuzzy Rule-Based Systems....Pages 189-196
Acceptance Sampling Plans by Variables for Vague Data....Pages 197-206
Possibilistic Approach to the Bayes Statistical Decisions....Pages 207-218
Front Matter....Pages 187-187
Fuzzy Comparison of Frequency Distributions....Pages 219-227
Test of One-Sided Hypotheses on the Expected Value of a Fuzzy Random Variable....Pages 228-235
Blackwell Sufficiency and Fuzzy Experiments....Pages 236-243
Optimal Stopping in Fuzzy Stochastic Processes and its Application to Option Pricing in Financial Engineering....Pages 244-251
Front Matter....Pages 253-253
Fuzzy Conjoint Analysis....Pages 255-265
Grade Analysis of Repeated Multivariate Measurements....Pages 266-273
A Contribution to Stochastic Modeling Volcanic Petroleum Reservoir....Pages 274-280
Improving the Quality of Association Rule Mining by Means of Rough Sets....Pages 281-288
Towards Fuzzy c-means Based Microaggregation....Pages 289-294
Statistical Profiles of Words for Ontology Enrichment....Pages 295-301
Quest on New Applications for Dempster-Shafer Theory: Risk Analysis in Project Profitability Calculus....Pages 302-309
Decision Making Based on Informational Variables....Pages 310-320
An Algorithm for Identifying Fuzzy Measures with Ordinal Information....Pages 321-328
Exploring an Alternative Method for Handling Inconsistency in the Fusion of Expert and Learnt Information....Pages 329-337
Approximate Reasoning Schemes: Classifiers for Computing with Words....Pages 338-345
Using Consensus Methods to User Classification in Interactive Systems....Pages 346-354
Aggregation Methods to Evaluate Multiple Protected Versions of the Same Confidential Data Set....Pages 355-362
On Multivariate Fuzzy Time Series Analysis and Forecasting....Pages 363-372