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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

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Humberto Bustince

    1. Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

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  2. Javier Fernandez

    1. Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

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  3. Radko Mesiar

    1. Department of Mathematics and, Slovak University of Technology, Bratislava, Slovakia

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  4. Tomasa Calvo

    1. Department of Computer Science, Universidad de Alcalá de Henares, Madrid, Spain

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  • Recent research in aggregation function theory
  • Results of the 7th International Summer School on Aggregation Operators at the Public University of Navarra, Spain, July 16-20, 2013
  • Written by leading experts in the field

Part of the book series: Advances in Intelligent Systems and Computing (AISC, volume 228)

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About this book

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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Keywords

Table of contents (51 papers)

  1. Front Matter

    Pages 1-13
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  3. Copulas

    1. Front Matter

      Pages 37-37
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    2. On Some Construction Methods for Bivariate Copulas

      • Radko Mesiar, Jozef Komorník, Magda Komorníková
      Pages 39-45

    3. On the Construction of Semiquadratic Copulas

      • Tarad Jwaid, Bernard De Baets, Hans De Meyer
      Pages 47-57

    4. Copulas and Self-affine Functions

      • Enrique de Amo, Manuel Díaz Carrillo, Juan Fernández Sánchez
      Pages 59-65

    5. Diagonal Copulas

      • Radko Mesiar, Jana Kalická
      Pages 67-74

    6. R Package to Handle Archimax or Any User-Defined Continuous Copula Construction: acopula

      • Tomáš Bacigál
      Pages 75-84

    7. How to Prove Sklar’s Theorem

      • Fabrizio Durante, Juan Fernández-Sánchez, Carlo Sempi
      Pages 85-90

  4. Ordered Aggregation

    1. Front Matter

      Pages 91-91
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    2. OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators: Axiomatic Analysis under Arity-Dependence (I)

      • Anna Cena, Marek Gagolewski
      Pages 93-103

    3. OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators. A Simulation Study (II)

      • Anna Cena, Marek Gagolewski
      Pages 105-115

    4. Duplication in OWA-Generated Positional Aggregation Rules

      • José Luis García-Lapresta, Miguel Martínez-Panero
      Pages 117-128

    5. Application of OWA Operators in the L-Fuzzy Concept Analysis

      • C. Alcalde, A. Burusco, R. Fuentes-González
      Pages 129-140
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Editors and Affiliations

  • Department of Automatica y Computacion, Universidad Publica de Navarra, Pamplona, Spain

    Humberto Bustince, Javier Fernandez

  • Department of Mathematics and, Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

  • Department of Computer Science, Universidad de Alcalá de Henares, Madrid, Spain

    Tomasa Calvo

Bibliographic Information

  • Book Title: Aggregation Functions in Theory and in Practise

  • Book Subtitle: Proceedings of the 7th International Summer School on Aggregation Operators at the Public University of Navarra, Pamplona, Spain, July 16-20, 2013

  • Editors: Humberto Bustince, Javier Fernandez, Radko Mesiar, Tomasa Calvo

  • Series Title: Advances in Intelligent Systems and Computing

  • DOI: https://doi.org/10.1007/978-3-642-39165-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Softcover ISBN: 978-3-642-39164-4Published: 02 July 2013

  • eBook ISBN: 978-3-642-39165-1Published: 20 June 2013

  • Series ISSN: 2194-5357

  • Series E-ISSN: 2194-5365

  • Edition Number: 1

  • Number of Pages: XVI, 552

  • Number of Illustrations: 56 b/w illustrations

  • Topics: Computational Intelligence, Artificial Intelligence

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