IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/5642982.html
   My bibliography  Save this article

Some Topological Approaches for Generalized Rough Sets via Ideals

Author

Listed:
  • Tareq M. Al-shami
  • Hüseyin Işık
  • Ashraf S. Nawar
  • Rodyna A. Hosny

Abstract

The idea of neighborhood systems is induced from the geometric idea of “near,†and it is primitive in the topological structures. Now, the idea of neighborhood systems has been extensively applied in rough set theory. The master contribution of this manuscript is to generate various topologies by means of the concepts of - adhesion neighborhoods and ideals. Then, we define a new rough set model derived from these topologies and discussed main features. We show that these topologies are finer than those given in the previous ones under arbitrary binary relations. In addition, we elucidate that these topologies are finer than those topologies initiated based on different neighborhoods and ideals under reflexive relations. Several examples are provided to validate that our model is better than the previous ones.

Suggested Citation

  • Tareq M. Al-shami & Hüseyin Işık & Ashraf S. Nawar & Rodyna A. Hosny, 2021. "Some Topological Approaches for Generalized Rough Sets via Ideals," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, August.
    • Handle: RePEc:hin:jnlmpe:5642982
    DOI: 10.1155/2021/5642982
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/5642982.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/5642982.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5642982?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:jnlmpe:5642982. 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.