IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i6p993-d372738.html
   My bibliography  Save this article

A p -Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets

Author

Listed:
  • Jeong-Gon Lee

    (Division of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea)

  • Mohammad Fozouni

    (Department of Mathematics, Faculty of Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous P.O. 163, Iran)

  • Kul Hur

    (Department of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-Si, Jeonbuk 54538, Korea)

  • Young Bae Jun

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

Abstract

In 2020, Kang, Song and Jun introduced the notion of multipolar intuitionistic fuzzy set with finite degree, which is a generalization of intuitionistic fuzzy set, and they applied it to BCK/BCI-algebras. In this paper, we used this notion to study p -ideals of BCI-algebras. The notion of k -polar intuitionistic fuzzy p -ideals in BCI-algebras is introduced, and several properties were investigated. An example to illustrate the k -polar intuitionistic fuzzy p -ideal is given. The relationship between k -polar intuitionistic fuzzy ideal and k -polar intuitionistic fuzzy p -ideal is displayed. A k -polar intuitionistic fuzzy p -ideal is found to be k -polar intuitionistic fuzzy ideal, and an example to show that the converse is not true is provided. The notions of p -ideals and k -polar ( ∈ , ∈ ) -fuzzy p -ideal in BCI-algebras are used to study the characterization of k -polar intuitionistic p -ideal. The concept of normal k -polar intuitionistic fuzzy p -ideal is introduced, and its characterization is discussed. The process of eliciting normal k -polar intuitionistic fuzzy p -ideal using k -polar intuitionistic fuzzy p -ideal is provided.

Suggested Citation

  • Jeong-Gon Lee & Mohammad Fozouni & Kul Hur & Young Bae Jun, 2020. "A p -Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:993-:d:372738
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/6/993/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/6/993/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Muhammad Akram & Musavarah Sarwar, 2018. "New Applications of m-Polar Fuzzy Competition Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 249-276, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rajab Ali Borzooei & Hee Sik Kim & Young Bae Jun & Sun Shin Ahn, 2020. "On Multipolar Intuitionistic Fuzzy B -Algebras," Mathematics, MDPI, vol. 8(6), pages 1-12, June.
    2. Mohammad Mohseni Takallo & Sun Shin Ahn & Rajab Ali Borzooei & Young Bae Jun, 2019. "Multipolar Fuzzy p -Ideals of BCI-Algebras," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
    3. Young Joo Seo & Hee Sik Kim & Young Bae Jun & Sun Shin Ahn, 2020. "Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras," Mathematics, MDPI, vol. 8(8), pages 1-14, August.
    4. Kyung Tae Kang & Seok-Zun Song & Young Bae Jun, 2020. "Multipolar Intuitionistic Fuzzy Set with Finite Degree and Its Application in BCK/BCI-Algebras," Mathematics, MDPI, vol. 8(2), pages 1-16, February.

    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:8:y:2020:i:6:p:993-:d:372738. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.