IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v19y2023i02ns1793005723500217.html
   My bibliography  Save this article

Entropy of Dynamical Systems on Interval-Valued Intuitionistic Fuzzy Sets

Author

Listed:
  • Zohreh Nazari

    (Department of Mathematics, Vali-e-Asr, University of Rafsanjan, Rafsanjan, Iran)

  • Batool Mosapour

    (Department of Mathematics, Farhangian, University, Kerman, Iran)

  • Elham Zangiabadi

    (Department of Mathematics, Vali-e-Asr, University of Rafsanjan, Rafsanjan, Iran)

  • Abolfazl Ebrahimzadeh

    (Young Researchers and Elite Club, Zahedan Branch, Islamic Azad University, Zahedan, Iran)

Abstract

In this work, we introduce the concepts of Shannon entropy and conditional entropy of experiments in the interval-valued intuitionistic fuzzy case, and study the basic properties of the information measures. Subsequently, by means of the suggested notion of entropy of partitions, we define the entropy of a dynamical system on interval-valued intuitionistic fuzzy sets (IVIF). A version of the Kolmogorov–Sinai theorem on generators for dynamical systems on the IVIF is proved. It is shown that this entropy is an invariant under isomorphisms of interval-valued intuitionistic fuzzy dynamical systems; thus, we obtain a tool for distinguishing some non-isomorphic interval-valued intuitionistic fuzzy dynamical systems. The proposed measure can be used as a measure of information of experiment whose outcomes are interval-valued intuitionistic fuzzy events.

Suggested Citation

  • Zohreh Nazari & Batool Mosapour & Elham Zangiabadi & Abolfazl Ebrahimzadeh, 2023. "Entropy of Dynamical Systems on Interval-Valued Intuitionistic Fuzzy Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 541-556, July.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500217
    DOI: 10.1142/S1793005723500217
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005723500217
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005723500217?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500217. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/nmnc/nmnc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.