IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i6p566-d242450.html
   My bibliography  Save this article

Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points

Author

Listed:
  • Rajab Ali Borzooei

    (Department of Mathematics, Shahid Beheshti University, Tehran 7561, Iran)

  • Mona Aaly Kologani

    (Hatef Higher Education Institute, Zahedan 8301, Iran)

  • Mahdi Sabet Kish

    (Department of Mathematics, Shahid Beheshti University, Tehran 7561, Iran)

  • Young Bae Jun

    (Department of Mathematics, Shahid Beheshti University, Tehran 7561, Iran
    Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea)

Abstract

In this paper, we introduce the notions of ( ∈ , ∈ ) -fuzzy positive implicative filters and ( ∈ , ∈ ∨ q ) -fuzzy positive implicative filters in hoops and investigate their properties. We also define some equivalent definitions of them, and then we use the congruence relation on hoop defined in blue[Aaly Kologani, M.; Mohseni Takallo, M.; Kim, H.S. Fuzzy filters of hoops based on fuzzy points. Mathematics. 2019 , 7 , 430; doi:10.3390/math7050430] by using an ( ∈ , ∈ ) -fuzzy filter in hoop. We show that the quotient structure of this relation is a Brouwerian semilattice.

Suggested Citation

  • Rajab Ali Borzooei & Mona Aaly Kologani & Mahdi Sabet Kish & Young Bae Jun, 2019. "Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points," Mathematics, MDPI, vol. 7(6), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:566-:d:242450
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/6/566/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/6/566/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mona Aaly Kologani & Mohammad Mohseni Takallo & Hee Sik Kim, 2019. "Fuzzy Filters of Hoops Based on Fuzzy Points," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    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:7:y:2019:i:6:p:566-:d:242450. 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.