IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v21y2025i03ns1793005726500043.html
   My bibliography  Save this article

Topological Approaches in Characterization of Algebraic Structure of Fuzzy Multiset Finite Automata

Author

Listed:
  • Shainky Ruhela

    (Department of Mathematics, Central University of Rajasthan, NH-8 Bandarsindari, Ajmer 305817, Rajasthan, India†Department of Mathematics, Maharani Lal Kunwari MLK (PG) College, Balrampur 271201, Uttar Pradesh, India)

  • Sunny Verma

    (Department of Mathematics, Central University of Rajasthan, NH-8 Bandarsindari, Ajmer 305817, Rajasthan, India)

  • Vijay Kumar Yadav

    (Department of Mathematics, Central University of Rajasthan, NH-8 Bandarsindari, Ajmer 305817, Rajasthan, India)

  • S. P. Tiwari

    (��Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Jharkhand, India)

Abstract

This paper aims to provide the topological approaches in the characterization of the algebraic structure of fuzzy multiset finite automaton (FMFA). We have shown how the topological concepts of open sets and continuous functions can be utilized to characterize the algebraic structure of FMFA. The topological definition of a continuous function on fuzzy multiset finite automata and its structure preserving qualities are investigated. The operation preserving function between two fuzzy multiset finite automata is introduced, such functions are analogous to a homomorphism between algebraic structures but have an even stronger structure preserving nature than the continuous functions.

Suggested Citation

  • Shainky Ruhela & Sunny Verma & Vijay Kumar Yadav & S. P. Tiwari, 2025. "Topological Approaches in Characterization of Algebraic Structure of Fuzzy Multiset Finite Automata," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 839-865, November.
    • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:03:n:s1793005726500043
    DOI: 10.1142/S1793005726500043
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005726500043
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005726500043?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:21:y:2025:i:03:n:s1793005726500043. 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.