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New Trends in Aggregation Theory

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. Radomír Halaš

    1. Faculty of Science, Palacký University, Olomouc, Czech Republic

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    You can also search for this editor in PubMed   Google Scholar

  2. Marek Gagolewski

    1. Systems Research Institute, Polish Academy of Science, Warsaw, Poland

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    You can also search for this editor in PubMed   Google Scholar

  3. Radko Mesiar

    1. Slovak University of Technology, Bratislava, Slovakia

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    You can also search for this editor in PubMed   Google Scholar

  • Includes the latest research on aggregation functions
  • Presents state-of-the-art technologies and applications
  • Features selected contributions from the 10th International Summer School on Aggregation Operators (AGOP 2019), held in Olomouc, Czech Republic from July 1 to 4, 2019

Part of the book series: Advances in Intelligent Systems and Computing (AISC, volume 981)

Included in the following conference series:

Conference proceedings info: AGOP 2019.

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Table of contents (31 papers)

  1. Front Matter

    Pages i-ix
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  2. Invited Speakers

    1. Front Matter

      Pages 1-1
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    2. Qualitative Integrals and Cointegrals: A Survey

      • Agnès Rico
      Pages 3-14

    3. The Concave and Decomposition Integrals: A Review and Future Directions

      • Ehud Lehrer
      Pages 15-25

    4. Super Level Measures: Averaging Before Integrating

      • Ondrej Hutník
      Pages 26-28

    5. On Extreme Value Copulas with Given Concordance Measures

      • Piotr Jaworski
      Pages 29-46

    6. Some Remarks About Polynomial Aggregation Functions

      • Sebastia Massanet, Juan Vicente Riera, Joan Torrens
      Pages 47-59

  3. Other Speakers

    1. Front Matter

      Pages 61-61
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    2. Aggregation Through Composition: Unification of Three Principal Fuzzy Theories

      • Irina Perfilieva, Anand P. Singh, S. P. Tiwari
      Pages 63-74

    3. Pseudo-Additions and Shift Invariant Aggregation Functions

      • Andrea Stupňanová, Doretta Vivona, Maria Divari
      Pages 75-82

    4. Importation Algebras

      • Vikash Kumar Gupta, Balasubramaniam Jayaram
      Pages 83-94

    5. On Some Inner Dependence Relationships in Hierarchical Structure Under Hesitant Fuzzy Environment

      • Debashree Guha, Debasmita Banerjee
      Pages 95-105

    6. The Relation Between F-partial Order and Distributivity Equation

      • Emel Aşıcı, Radko Mesiar
      Pages 106-114

    7. On Properties of Internal Uninorms on Bounded Lattices

      • Gül Deniz Çaylı
      Pages 115-128

    8. Some Remarks on Generalized Hypothetical Syllogism and Yager’s Implications

      • Piotr Helbin, Katarzyna Miś, Michał Baczyński
      Pages 129-139

    9. Interval-Valued \(E_N\)-functions and Similarity Measures

      • Zdenko Takáč, Humberto Bustince, Javier Fernandez, Graçaliz Dimuro, Tiago Asmus, Aitor Castillo
      Pages 140-150

    10. On Some Generalizations of the Choquet Integral

      • Humberto Bustince, Javier Fernandez, L’ubomíra Horanská, Radko Mesiar, Andrea Stupňanová
      Pages 151-159

    11. Penalty-Based Data Aggregation in Real Normed Vector Spaces

      • Lucian Coroianu, Marek Gagolewski
      Pages 160-171

    12. Gravitational Clustering Algorithm Generalization by Using an Aggregation of Masses in Newton Law

      • J. Armentia, I. Rodrí­guez, J. Fumanal Idocin, Humberto Bustince, M. Minárová, A. Jurio
      Pages 172-182

    13. Uninorms on Bounded Lattices with Given Underlying Operations

      • Slavka Bodjanova, Martin Kalina
      Pages 183-194
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  1. New Trends in Aggregation Theory

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About this book

This book collects the contributions presented at AGOP 2019, the 10th International Summer School on Aggregation Operators, which took place in Olomouc (Czech Republic) in July 2019. It includes contributions on topics ranging from the theory and foundations of aggregation functions to their various applications.

Aggregation functions have numerous applications, including, but not limited to, data fusion, statistics, image processing, and decision-making. They are usually defined as those functions that are monotone with respect to each input and that satisfy various natural boundary conditions. In particular settings, these conditions might be relaxed or otherwise customized according to the user’s needs. Noteworthy classes of aggregation functions include means, t-norms and t-conorms, uninorms and nullnorms, copulas and fuzzy integrals (e.g., the Choquet and Sugeno integrals). This book provides a valuable overview of recent research trends in this area.

Editors and Affiliations

  • Faculty of Science, Palacký University, Olomouc, Czech Republic

    Radomír Halaš

  • Systems Research Institute, Polish Academy of Science, Warsaw, Poland

    Marek Gagolewski

  • Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

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