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Interactions Between Computational Intelligence and Mathematics

  • Book
  • © 2018

Overview

Editors:
  1. László T. Kóczy

    1. Faculty of Engineering Sciences, Széchenyi István University, Gyõr, Hungary

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  2. Jesús Medina

    1. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, Puerto Real, Cádiz, Spain

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  • Presents recent research in the field of interaction between computational intelligence and mathematics
  • Provides a broad spectrum of research from theory to applications
  • Includes interesting contributions of engineers and mathematicians, focusing on the resolution of significant real-world computational intelligence and computer science problems

Part of the book series: Studies in Computational Intelligence (SCI, volume 758)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Page Rank Versus Katz: Is the Centrality Algorithm Choice Relevant to Measure User Influence in Twitter?

    • Hugo Rosa, Joao P. Carvalho, Ramon Astudillo, Fernando Batista
    Pages 1-9

  3. Weighted Means Based Filters for SAR Imagery

    • L. Torres, J. C. Becceneri, C. C. Freitas, S. J. S. Sant’Anna, S. Sandri
    Pages 11-29

  4. On Combination of Wavelet Transformation and Stabilized KH Interpolation for Fuzzy Inferences Based on High Dimensional Sampled Functions

    • Ferenc Lilik, Szilvia Nagy, László T. Kóczy
    Pages 31-42

  5. Abductive Reasoning on Molecular Interaction Maps

    • Jean-Marc Alliot, Robert Demolombe, Luis Fariñas del Cerro, Martín Diéguez, Naji Obeid
    Pages 43-56

  6. Efficient Unfolding of Fuzzy Connectives for Multi-adjoint Logic Programs

    • Pedro J. Morcillo, Ginés Moreno
    Pages 57-78

  7. On Fuzzy Generalizations of Concept Lattices

    • Lubomir Antoni, Stanislav Krajči, Ondrej Krídlo
    Pages 79-103

  8. Generating Fuzzy Attribute Rules Via Fuzzy Formal Concept Analysis

    • Valentín Liñeiro-Barea, Jesús Medina, Inmaculada Medina-Bulo
    Pages 105-119
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Keywords

About this book

This book presents recent research in the field of interaction between computational intelligence and mathematics, ranging from theory to applications. Computational intelligence, or soft computing consists of various bio-inspired methods, especially fuzzy systems, artificial neural networks, evolutionary and memetic algorithms. These research areas were initiated by professionals in various applied fields, such as engineers, economists, and financial and medical experts. Although computational intelligence offered solutions (at least quasi-optimal solutions) for problems with high complexity, vague and undeterministic features, initially little attention was paid to the mathematical models and analysis of the methods successfully applied. A typical example is the extremely successful Mamdani-algorithm, and its modifications and extensions, applied since the mid-1970s, where the first analysis of the simplest cases, showing why this algorithm was so efficient and stable, was not given until the early 1990s.


Since the mid-2000s, the authors have organized international conferences annually to focus on the mathematical methodological issues in connection with computational intelligence approaches. These conferences have attracted a large number of submissions with a wide scope of topics and quality. The editors selected several high-quality papers and approached the authors to submit an essentially extended and improved book chapter based on the lectures.
This volume is the first contributed book on the subject.

Editors and Affiliations

  • Faculty of Engineering Sciences, Széchenyi István University, Gyõr, Hungary

    László T. Kóczy

  • Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, Puerto Real, Cádiz, Spain

    Jesús Medina

Bibliographic Information

  • Book Title: Interactions Between Computational Intelligence and Mathematics

  • Editors: László T. Kóczy, Jesús Medina

  • Series Title: Studies in Computational Intelligence

  • DOI: https://doi.org/10.1007/978-3-319-74681-4

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-74680-7Published: 19 March 2018

  • Softcover ISBN: 978-3-030-09054-8Published: 22 December 2018

  • eBook ISBN: 978-3-319-74681-4Published: 10 March 2018

  • Series ISSN: 1860-949X

  • Series E-ISSN: 1860-9503

  • Edition Number: 1

  • Number of Pages: IX, 119

  • Number of Illustrations: 19 b/w illustrations, 19 illustrations in colour

  • Topics: Computational Intelligence, Artificial Intelligence

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