Ebook: Aggregation Functions in Theory and in Practise: Proceedings of the 7th International Summer School on Aggregation Operators at the Public University of Navarra, Pamplona, Spain, July 16-20, 2013

This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included.

Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.

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This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included.

Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.

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This volume collects the extended abstracts of 45 contributions of participants to the Seventh International Summer School on Aggregation Operators (AGOP 2013), held at Pamplona in July, 16-20, 2013. These contributions cover a very broad range, from the purely theoretical ones to those with a more applied focus. Moreover, the summaries of the plenary talks and tutorials given at the same workshop are included.

Together they provide a good overview of recent trends in research in aggregation functions which can be of interest to both researchers in Physics or Mathematics working on the theoretical basis of aggregation functions, and to engineers who require them for applications.

Content:
Front Matter....Pages 1-13
Front Matter....Pages 1-1
Functional Equations Involving Fuzzy Implications and Their Applications in Approximate Reasoning....Pages 3-4
Aggregation Operators and Observable Properties of Human Reasoning....Pages 5-16
Copulas, Tail Dependence and Applications to the Analysis of Financial Time Series....Pages 17-22
On Quadratic Constructions of Copulas....Pages 23-27
Compatible Group Decisions....Pages 29-29
A Review of the Relationships between Aggregation, Implication and Negation Functions....Pages 31-36
Front Matter....Pages 37-37
On Some Construction Methods for Bivariate Copulas....Pages 39-45
On the Construction of Semiquadratic Copulas....Pages 47-57
Copulas and Self-affine Functions....Pages 59-65
Diagonal Copulas....Pages 67-74
How to Prove Sklar’s Theorem....Pages 75-84
Front Matter....Pages 85-90
OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators: Axiomatic Analysis under Arity-Dependence (I)....Pages 91-91
OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators. A Simulation Study (II)....Pages 93-103
Duplication in OWA-Generated Positional Aggregation Rules....Pages 105-115
Application of OWA Operators in the L-Fuzzy Concept Analysis....Pages 117-128
Norm Aggregations and OWA Operators....Pages 129-140
Front Matter....Pages 141-151
Migrativity of Uninorms over T-norms and T-conorms....Pages 153-153
Additive Generators of Overlap Functions....Pages 155-166
Continuous T-norms and T-conorms Satisfying the Principle of Inclusion and Exclusion....Pages 167-178
Front Matter....Pages 179-186
On Mulholland Inequality and Dominance of Strict Triangular Norms....Pages 153-153
Distributivity Equation in the Class of Noncommutative T-Operators....Pages 187-195
On Some Classes of Discrete Additive Generators....Pages 197-204
Front Matter....Pages 205-215
The Consensus Functional Equation in Agreement Theory....Pages 217-217
A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making....Pages 219-235
Social Choice Voting with Linguistic Preferences and Difference in Support....Pages 237-248
Calibration of Utility Function....Pages 249-260
Uncertain Choices: A Comparison of Fuzzy and Probabilistic Approaches....Pages 261-269
Bayes Theorem, Uninorms and Aggregating Expert Opinions....Pages 271-279
Front Matter....Pages 281-291
On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation....Pages 293-293
Comparison of Different Algorithms of Approximation by Extensional Fuzzy Subsets....Pages 295-306
On the Symmetrization of Quasi-metrics: An Aggregation Perspective....Pages 307-317
Aggregation Operators and Quadric Hypersurfaces....Pages 319-331
An Analysis of Bilevel Linear Programming Solving Parameters Based on Factoraggregation Approach....Pages 333-343
Upper Bounding Overlaps by Groupings....Pages 345-354
A Preliminary Study of the Usage of Similarity Measures to Detect Singular Points in Fingerprint Images....Pages 355-365
Front Matter....Pages 367-378
F-transform in View of Aggregation Functions....Pages 379-379
Fuzzy Hit-or-Miss Transform Using the Fuzzy Mathematical Morphology Based on T-norms....Pages 381-389
Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling....Pages 391-403
Front Matter....Pages 405-414
Implications Satisfying the Law of Importation with a Given T-norm....Pages 415-415
Front Matter....Pages 417-428
Fuzzy Implication Classes Satisfying a Boolean-Like Law....Pages 415-415
Implications Generated by Triples of Monotone Functions....Pages 429-440
A Generalization of a Characterization Theorem of Restricted Equivalence Functions....Pages 441-452
Front Matter....Pages 453-464
Some New Definitions of Indicators for the Choquet Integral....Pages 465-465
Exponential Family of Level Dependent Choquet Integral Based Class-Conditional Probability Functions....Pages 467-476
Axiomatic Foundations of the Universal Integral in Terms of Aggregation Functions and Preference Relations....Pages 477-484
Front Matter....Pages 485-492
Aggregation of Incomplete Qualitative Information....Pages 493-493
Consistency and Stability in Aggregation Operators: An Application to Missing Data Problems....Pages 495-506
Front Matter....Pages 507-518
Quasi-OWA Operators on Complete Lattices....Pages 519-519
Obtaining Multi-argument Fuzzy Measures on Lattices....Pages 521-532
Aggregation of Convex Intuitionistic Fuzzy Sets....Pages 533-542
Back Matter....Pages 543-550
....Pages 551-552