IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v16y2020i02ns1793005720500222.html
   My bibliography  Save this article

Fuzzy Regular Languages Based on Residuated Lattice

Author

Listed:
  • Anupam K. Singh

    (Department of Mathematics, C. M. College, A Constituent Unit of Lalit Narayan Mithila University, Darbhanga, Bihar 846004, India)

  • S. P. Tiwari

    (Department of Mathematics & Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India)

Abstract

The purpose of this work is to introduce the concept of fuzzy regular languages (FRL) accepted by fuzzy finite automata, and try to introduce the categorical look of fuzzy languages where the codomain of membership functions are taken as a complete residuated lattice, instead of [0,1]. Also, we have introduced pumping lemma for FRL, which is used to establish a necessary and sufficient condition for a given fuzzy languages to be non-constant.

Suggested Citation

  • Anupam K. Singh & S. P. Tiwari, 2020. "Fuzzy Regular Languages Based on Residuated Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 363-376, July.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:02:n:s1793005720500222
    DOI: 10.1142/S1793005720500222
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005720500222
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005720500222?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ai Liu & Shun Wang & Luis Soares Barbosa & Meng Sun, 2021. "Fuzzy Automata as Coalgebras," Mathematics, MDPI, vol. 9(3), pages 1-21, January.

    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:16:y:2020:i:02:n:s1793005720500222. 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.