Title 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 / Humberto Bustince [and others], editors

Published Berlin ; New York : Springer, ©2013

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Description 1 online resource Series Advances in intelligent systems and computing, 2194-5357 ; v. 228 Advances in intelligent systems and computing ; v. 228. Contents Invited Talks. Functional Equations Involving Fuzzy Implications and Their Applications in Approximate Reasoning / Michał Baczyński -- Aggregation Operators and Observable Properties of Human Reasoning / Jozo Dujmović -- Copulas, Tail Dependence and Applications to the Analysis of Financial Time Series / Fabrizio Durante -- On Quadratic Constructions of Copulas / Anna Kolesárová -- Compatible Group Decisions / Gabriella Pigozzi -- A Review of the Relationships between Aggregation, Implication and Negation Functions / Ana Pradera Copulas. On Some Construction Methods for Bivariate Copulas / Radko Mesiar, Jozef Komorník, Magda Komorníková -- On the Construction of Semiquadratic Copulas / Tarad Jwaid, Bernard De Baets, Hans De Meyer -- Copulas and Self-affine Functions / Enrique de Amo, Manuel Díaz Carrillo, Juan Fernández Sánchez -- Diagonal Copulas / Radko Mesiar, Jana Kalická -- R Package to Handle Archimax or Any User-Defined Continuous Copula Construction: acopula / Tomáš Bacigál -- How to Prove Sklar's Theorem / Fabrizio Durante, Juan Fernández-Sánchez, Carlo Sempi Ordered Aggregation. OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators: Axiomatic Analysis under Arity-Dependence (I) / Anna Cena, Marek Gagolewski -- OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators. A Simulation Study (II) / Anna Cena, Marek Gagolewski -- Duplication in OWA-Generated Positional Aggregation Rules / José Luis García-Lapresta, Miguel Martínez-Panero -- Application of OWA Operators in the L-Fuzzy Concept Analysis / C. Alcalde, A. Burusco, R. Fuentes-González -- Norm Aggregations and OWA Operators / José M. Merigó, Ronald R. Yager T-norms. Migrativity of Uninorms over T-norms and T-conorms / M. Mas, M. Monserrat, D. Ruiz-Aguilera, J. Torrens -- Additive Generators of Overlap Functions / Graçaliz Pereira Dimuro, Benjamín Bedregal -- Continuous T-norms and T-conorms Satisfying the Principle of Inclusion and Exclusion / Mária Kuková, Mirko Navara -- On Mulholland Inequality and Dominance of Strict Triangular Norms / Milan Petrík -- Distributivity Equation in the Class of Noncommutative T-Operators / Paweł Drygaś -- On Some Classes of Discrete Additive Generators / G. Mayor, J. Monreal Multi-Criteria Decision Making. The Consensus Functional Equation in Agreement Theory / Juan Carlos Candeal, Esteban Induráin, José Alberto Molina -- A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making / Yeleny Zulueta [and others] -- Social Choice Voting with Linguistic Preferences and Difference in Support / Patrizia Pérez-Asurmendi, Francisco Chiclana -- Calibration of Utility Function / Jana Špirková -- Uncertain Choices: A Comparison of Fuzzy and Probabilistic Approaches / Davide Martinetti [and others] -- Bayes Theorem, Uninorms and Aggregating Expert Opinions / József Dombi Applications. On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation / Neus Carmona [and others] -- Comparison of Different Algorithms of Approximation by Extensional Fuzzy Subsets / Gabriel Mattioli, Jordi Recasens -- On the Symmetrization of Quasi-metrics: An Aggregation Perspective / J. Martín, G. Mayor, O. Valero -- Aggregation Operators and Quadric Hypersurfaces / J. Recasens -- An Analysis of Bilevel Linear Programming Solving Parameters Based on Factoraggregation Approach / Pavels Orlovs, Olga Montvida, Svetlana Asmuss -- Upper Bounding Overlaps by Groupings / Nicolás Madrid [and others] -- A Preliminary Study of the Usage of Similarity Measures to Detect Singular Points in Fingerprint Images / Juan Cerrón [and others] Part VI: Applications. F-transform in View of Aggregation Functions / Irina Perfilieva, Vladik Kreinovich -- Fuzzy Hit-or-Miss Transform Using the Fuzzy Mathematical Morphology Based on T-norms / M. González-Hidalgo [and others] -- Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling / D. Paternain [and others] Implications. Implications Satisfying the Law of Importation with a Given T-norm / S. Massanet, J. Torrens -- Fuzzy Implication Classes Satisfying a Boolean-Like Law / Anderson Cruz, Benjamín Bedregal, Regivan Santiago -- Implications Generated by Triples of Monotone Functions / Dana Hliněná, Martin Kalina, Pavol Král' -- A Generalization of a Characterization Theorem of Restricted Equivalence Functions / Eduardo Palmeira, Benjamín Bedregal, Humberto Bustince Integrals. Some New Definitions of Indicators for the Choquet Integral / Jaume Belles-Sampera, José M. Merigó, Miguel Santolino -- Exponential Family of Level Dependent Choquet Integral Based Class-Conditional Probability Functions / Vicenç Torra, Yasuo Narukawa -- Axiomatic Foundations of the Universal Integral in Terms of Aggregation Functions and Preference Relations / Salvatore Greco, Radko Mesiar, Fabio Rindone Incomplete Data. Aggregation of Incomplete Qualitative Information / Juan Vicente Riera, Joan Torrens -- Consistency and Stability in Aggregation Operators: An Application to Missing Data Problems / Daniel Gomez [and others] Aggregation on Lattices. Quasi-OWA Operators on Complete Lattices / I. Lizasoain -- Obtaining Multi-argument Fuzzy Measures on Lattices / S. Cubillo, T. Calvo, E.E. Castiñeira -- Aggregation of Convex Intuitionistic Fuzzy Sets / Vladimír Janiš, Susana Montes Invited Talks -- Copulas -- Ordered Aggregation -- T-norms -- Multi-Criteria Decision Making -- Applications -- Fuzzy Transforms -- Implications -- Integrals -- Incomplete Data -- Aggregation on Lattices Summary 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 Analysis Engineering Artificial intelligence Computational Intelligence Notes International conference proceedings Includes index Bibliography Includes bibliographical references and index Notes English Online resource; title from PDF title page (SpringerLink, viewed July 3, 2013) Subject Aggregation operators -- Congresses Soft computing -- Congresses Mathematical statistics -- Congresses MATHEMATICS -- Functional Analysis. Ingénierie. Aggregation operators Mathematical statistics Soft computing Genre/Form proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. Form Electronic book Author Bustince, Humberto. ISBN 9783642391651 3642391656 3642391648 9783642391644

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