IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9073503.html
   My bibliography  Save this article

Soft Relations Applied to the Substructures of Quantale Module and Their Approximation

Author

Listed:
  • Saqib Mazher Qurashi
  • Khushboo Zahra Gilani
  • Muhammad Shabir
  • Muhammad Gulzar
  • Ashraful Alam
  • Zeljko Stevic

Abstract

This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations. The lower approximation and upper approximation of subsets of quantale module are utilized by aftersets and foresets. As a sequel of this relation, different characterizations of rough soft substructures of quantale modules are obtained. To ensure the results, soft reflective and soft compatible relations are focused and these are interpreted by aftersets and foresets. Furthermore, the algebraic relations between upper (lower) approximation of substructures of quantale module and the upper (lower) approximations of their homomorphic images with the help of quantale module homomorphism are examined. In comparison with the different type of approximations in different type of algebraic structures, it is concluded that this new study is much better.

Suggested Citation

  • Saqib Mazher Qurashi & Khushboo Zahra Gilani & Muhammad Shabir & Muhammad Gulzar & Ashraful Alam & Zeljko Stevic, 2022. "Soft Relations Applied to the Substructures of Quantale Module and Their Approximation," Complexity, Hindawi, vol. 2022, pages 1-12, September.
    • Handle: RePEc:hin:complx:9073503
    DOI: 10.1155/2022/9073503
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2022/9073503.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2022/9073503.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9073503?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:complx:9073503. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.