IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p2882-d886112.html
   My bibliography  Save this article

Bipolar Complex Fuzzy Subgroups

Author

Listed:
  • Xiaopeng Yang

    (School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China)

  • Tahir Mahmood

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Ubaid ur Rehman

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

Abstract

In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point. Then, we interpret the BCF subgroup, BCF normal subgroup, BCF conjugate, normalizer for BCF subgroup, cosets, BCF abelian subgroup, and BCF factor group. Furthermore, we present the associated examples and theorems, and prove these associated theorems. After that, we interpret the image and pre-image of BCF subgroups under homomorphism and prove the related theorems.

Suggested Citation

  • Xiaopeng Yang & Tahir Mahmood & Ubaid ur Rehman, 2022. "Bipolar Complex Fuzzy Subgroups," Mathematics, MDPI, vol. 10(16), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2882-:d:886112
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/2882/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/16/2882/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tahir Mahmood & Ubaid Ur Rehman & Abdul Jaleel & Jabbar Ahmmad & Ronnason Chinram, 2022. "Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 10(7), pages 1-19, March.
    2. Adeel Farooq & Mohammed M. Ali Al-Shamiri & Mohammed M. Khalaf & Umaira Amjad & Ewa Rak, 2022. "Decision-Making Approach with Complex Bipolar Fuzzy N-Soft Sets," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-22, February.
    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.

      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:10:y:2022:i:16:p:2882-:d:886112. 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.