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Selected Dynamical Properties of Fuzzy Dynamical Systems

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1601))

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Abstract

This paper summarizes knowledge on selected properties describing relations between various discrete dynamical systems. Mainly, those between the original (crisp) discrete dynamical system \((X,\varphi )\) and its natural extensions provided by (either the standard or a more general form of) Zadeh’s extension \((\mathcal {F}(X),z_{\varphi , g})\). Among discussed dynamical properties are the topological entropy and various properties related to famous Devaney chaos.

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Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. Dubna 22, 701 03, Ostrava, Czechia

    Jiří Kupka

Authors
  1. Jiří Kupka
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Correspondence to Jiří Kupka .

Editor information

Editors and Affiliations

  1. University of Milano-Bicocca, Milan, Italy

    Davide Ciucci

  2. University of Oviedo, Oviedo, Spain

    Inés Couso

  3. University of Cádiz, Cádiz, Spain

    Jesús Medina

  4. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  5. University of Perugia, Perugia, Italy

    Davide Petturiti

  6. Sorbonne Université, Paris, France

    Bernadette Bouchon-Meunier

  7. Iona College, New Rochelle, NY, USA

    Ronald R. Yager

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Kupka, J. (2022). Selected Dynamical Properties of Fuzzy Dynamical Systems. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_22

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  • DOI: https://doi.org/10.1007/978-3-031-08971-8_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08970-1

  • Online ISBN: 978-3-031-08971-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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