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Type-2 Fuzzy Classifier with Smooth Type-Reduction

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Artificial Intelligence and Soft Computing (ICAISC 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13588))

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Abstract

The defuzzification of a type-2 fuzzy set is a two-stage process consisting of firstly type-reduction, and a secondly defuzzification of the resultant type-1 set. All accurate type reduction methods used to build fuzzy classifiers are based on the recursive Karnik-Mendel algorithm, which is troublesome to obtain a feedforward type-2 fuzzy network structure. Moreover, the KM algorithm and its modifications complicate the learning process due to the non-differentiability of the maximum and minimum functions. Therefore, this paper proposes to use the smooth maximum function to develop a new structure of the fuzzy type-2 classifier.

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Author information

Authors and Affiliations

  1. Department of Intelligent Computer Systems, Częstochowa University of Technology, Częstochowa, Poland

    Katarzyna Nieszporek & Janusz T. Starczewski

  2. Department of Computer, Control and Management Engineering, Sapienza University of Rome, Via Ariosto 25, 00185, Roma, Italy

    Giorgio De Magistris & Christian Napoli

Authors
  1. Katarzyna Nieszporek
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  2. Giorgio De Magistris
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  3. Christian Napoli
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  4. Janusz T. Starczewski
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Corresponding author

Correspondence to Janusz T. Starczewski .

Editor information

Editors and Affiliations

  1. Systems Research Institute of the Polish Academy of Sciences, Warsaw, Poland

    Leszek Rutkowski

  2. Częstochowa University of Technology, Częstochowa, Poland

    Rafał Scherer

  3. Częstochowa University of Technology, Częstochowa, Poland

    Marcin Korytkowski

  4. University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  5. AGH University of Science and Technology, Kraków, Poland

    Ryszard Tadeusiewicz

  6. University of Louisville, Louisville, KY, USA

    Jacek M. Zurada

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Nieszporek, K., De Magistris, G., Napoli, C., Starczewski, J.T. (2023). Type-2 Fuzzy Classifier with Smooth Type-Reduction. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2022. Lecture Notes in Computer Science(), vol 13588. Springer, Cham. https://doi.org/10.1007/978-3-031-23492-7_17

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  • DOI: https://doi.org/10.1007/978-3-031-23492-7_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-23491-0

  • Online ISBN: 978-3-031-23492-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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