Interactions Between Computational Intelligence and Mathematics

  • László T. Kóczy
  • Jesús Medina

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Hugo Rosa, Joao P. Carvalho, Ramon Astudillo, Fernando Batista
    Pages 1-9
  3. L. Torres, J. C. Becceneri, C. C. Freitas, S. J. S. Sant’Anna, S. Sandri
    Pages 11-29
  4. Jean-Marc Alliot, Robert Demolombe, Luis Fariñas del Cerro, Martín Diéguez, Naji Obeid
    Pages 43-56
  5. Lubomir Antoni, Stanislav Krajči, Ondrej Krídlo
    Pages 79-103
  6. Valentín Liñeiro-Barea, Jesús Medina, Inmaculada Medina-Bulo
    Pages 105-119

About this book

Introduction

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.

Keywords

Intelligent Systems Computational Intelligence Mathematics Social Networks Data Science

Editors and affiliations

  • László T. Kóczy
    • 1
  • Jesús Medina
    • 2
  1. 1.Faculty of Engineering SciencesSzéchenyi István UniversityGyõrHungary
  2. 2.Departamento de Matemáticas, Facultad de CienciasUniversidad de CádizPuerto Real, CádizSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-74681-4
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-74680-7
  • Online ISBN 978-3-319-74681-4
  • Series Print ISSN 1860-949X
  • Series Online ISSN 1860-9503
  • About this book