Interactions Between Computational Intelligence and Mathematics

1. Front Matter

   Pages i-ix

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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

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.

• Intelligent Systems
• Computational Intelligence
• Mathematics
• Social Networks
• Data Science

• 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

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