IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v18y2022i02ns1793005722500272.html
   My bibliography  Save this article

Fundamental Group of LB-Valued General Fuzzy Automata

Author

Listed:
  • Kh. Abolpour

    (Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran)

  • A. Borumand Saeid

    (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran)

Abstract

This study aims to investigate LB-valued GFA from algebraic and topological perspectives, where L stands for residuated lattice and B is a set of propositions about the general fuzzy automata, in which its underlying structure is a complete infinitely distributive lattice. Further, the concepts of LB-valued general fuzzy automata (or simply LB-valued GFA) contractible spaces, LB-valued GFA path homotopy, LB-valued GFA retraction, LB-valued GFA deformation retraction, LB-valued GFA path connected space and LB-valued GFA homotopy equivalent space are introduced and explicated. In addition, LB-valued GFA fundamental groups are proposed and studied. Regarding these issues, some properties are also established and explained.

Suggested Citation

  • Kh. Abolpour & A. Borumand Saeid, 2022. "Fundamental Group of LB-Valued General Fuzzy Automata," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 545-558, July.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500272
    DOI: 10.1142/S1793005722500272
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005722500272
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005722500272?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:18:y:2022:i:02:n:s1793005722500272. 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.