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Defuzzification Functionals Are Homogeneous, Restrictive Additive and Normalized Functions

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Artificial Intelligence and Soft Computing (ICAISC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7267))

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Abstract

Defuzzification operators, that play the main role when dealing with fuzzy controllers and fuzzy inference systems, are discussed for convex as well for ordered fuzzy numbers. Three characteristic conditions are formulated for them. It is shown that most of known defuzzification functionals meet these requirements. Some approximation methods for determining of the functionals are given and then applied.

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Author information

Authors and Affiliations

  1. Polish-Japanese Institute of Information Technology, Warsaw, Poland

    Witold Kosiński & Dorota Cendrowska

  2. Kazimierz-Wielki University, Bydgoszcz, Poland

    Agnieszka Rosa

  3. École Supérieure d’Ingénieurs en Informatique et Génie de, Télécommunication (ESIGETEL), France

    Katarzyna Węgrzyn-Wolska

Authors
  1. Witold Kosiński
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  2. Agnieszka Rosa
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  3. Dorota Cendrowska
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  4. Katarzyna Węgrzyn-Wolska
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Editor information

Editors and Affiliations

  1. Częstochowa University of Technology, Armii Krajowej 36, 42-200, Częstochowa, Poland

    Leszek Rutkowski , Marcin Korytkowski  & Rafał Scherer ,  & 

  2. AGH University of Science and Technology, Mickiewicza 30, 30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  3. Department of Electrical Engineering and Computer Sciences, Computer Science Division, University of California Berkeley, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  4. Computational Intelligence Laboratory, Electrical and Computer Engineering, University of Louisville, 405 Lutz Hall, 40292, Louisville, KY, USA

    Jacek M. Zurada

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Kosiński, W., Rosa, A., Cendrowska, D., Węgrzyn-Wolska, K. (2012). Defuzzification Functionals Are Homogeneous, Restrictive Additive and Normalized Functions. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2012. Lecture Notes in Computer Science(), vol 7267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29347-4_32

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  • DOI: https://doi.org/10.1007/978-3-642-29347-4_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29346-7

  • Online ISBN: 978-3-642-29347-4

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