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