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Challenging Problems and Solutions in Intelligent Systems pp 103–138Cite as

Support Vector Machines in Fuzzy Regression

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 634))

Abstract

This paper presents methods of estimating fuzzy regression models based on support vector machines. Starting from the approaches known from the literature and dedicated to triangular fuzzy numbers and based on linear and quadratic loss, a new method applying loss function based on the Trutschnig distance is proposed. Furthermore, a generalization of those models for fuzzy numbers with trapezoidal membership function is given. Finally, the proposed models are illustrated and compared in the examples and some of their properties are discussed.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

    Paulina Wieszczy & Przemysław Grzegorzewski

  2. Department of Gastroenterology, Hepatology and Clinical Oncology, Medical Center for Postgraduate Education, Roentgen 5, 02-781, Warsaw, Poland

    Paulina Wieszczy

  3. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Przemysław Grzegorzewski

Authors
  1. Paulina Wieszczy
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  2. Przemysław Grzegorzewski
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Corresponding author

Correspondence to Przemysław Grzegorzewski .

Editor information

Editors and Affiliations

  1. Dept. of Telecommunication & Inform proc, Ghent University, Gent, Belgium

    Guy de Trė

  2. Faculty of Maths and Information Science, Warsaw University of Technology, Warszawa, Poland

    Przemysław Grzegorzewski

  3. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Janusz Kacprzyk

  4. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Jan W. Owsiński

  5. Polish Academy of Sciences, Institute of Computer Science, Warszawa, Poland

    Wojciech Penczek

  6. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Sławomir Zadrożny

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Wieszczy, P., Grzegorzewski, P. (2016). Support Vector Machines in Fuzzy Regression. In: Trė, G., Grzegorzewski, P., Kacprzyk, J., Owsiński, J., Penczek, W., Zadrożny, S. (eds) Challenging Problems and Solutions in Intelligent Systems. Studies in Computational Intelligence, vol 634. Springer, Cham. https://doi.org/10.1007/978-3-319-30165-5_6

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  • DOI: https://doi.org/10.1007/978-3-319-30165-5_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30164-8

  • Online ISBN: 978-3-319-30165-5

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