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The Use of Fuzzy Numbers in the Process of Designing Relational Fuzzy Cognitive Maps

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Artificial Intelligence and Soft Computing (ICAISC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7894))

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Abstract

The paper presents a certain approach to the design and operation of fuzzy cognitive maps (FCM) of a new type, which is specified by the name of Relational Fuzzy Cognitive Map (RFCM). This approach is based on the introduction into the model a description, which is based on fuzzy numbers and fuzzy relations, so you can avoid some of the problems related to the designing (especially learning) classical structures of FCMs. Properties of fuzzy numbers arithmetic cause that the learning process as well as the subsequent operation of such a model run differently than in classical models known from the literature. There are conceptual and technical difficulties connected with this issue, but that can be overcome with the use of the methods described in the work. The proposed approach provides a complete fuzziness of all parameters at every stage of designing the model.

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Authors and Affiliations

  1. Kielce University of Technology, al. Tysiąclecia P. P. 7, 25-314, Kielce, Poland

    Grzegorz Słoń

Authors
  1. Grzegorz Słoń
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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, Michiewicza 30, 30-059, Kraków, Poland

    Ryszard Tadeusiewicz

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

    Lotfi A. Zadeh

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

    Jacek M. Zurada

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Słoń, G. (2013). The Use of Fuzzy Numbers in the Process of Designing Relational Fuzzy Cognitive Maps. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2013. Lecture Notes in Computer Science(), vol 7894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38658-9_34

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  • DOI: https://doi.org/10.1007/978-3-642-38658-9_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38657-2

  • Online ISBN: 978-3-642-38658-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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