IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i17p2047-d621589.html
   My bibliography  Save this article

Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures

Author

Listed:
  • Seok-Zun Song

    (Department of Mathematics, Jeju National University, Jeju 63243, Korea)

  • Mehmet Ali Öztürk

    (Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman 02040, Turkey)

  • Young-Bae Jun

    (Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

Abstract

As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras. In this article, MBJ-neutrosophic set is used to study commutative ideal in BCI-algebras. The concept of closed MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal is introduced and their properties and relationships are studied. The conditions for an MBJ-neutrosophic ideal to be a commutative MBJ-neutrosophic ideal are given. The conditions for an MBJ-neutrosophic ideal to be a closed MBJ-neutrosophic ideal are provided. Characterization of a commutative MBJ-neutrosophic ideal is established. Finally, the extension property for a commutative MBJ-neutrosophic ideal is founded.

Suggested Citation

  • Seok-Zun Song & Mehmet Ali Öztürk & Young-Bae Jun, 2021. "Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures," Mathematics, MDPI, vol. 9(17), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2047-:d:621589
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/17/2047/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/17/2047/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:9:y:2021:i:17:p:2047-:d:621589. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.