IDEAS home Printed from https://ideas.repec.org/a/hin/complx/5586187.html
   My bibliography  Save this article

Topological Approaches for Rough Continuous Functions with Applications

Author

Listed:
  • A. S. Salama
  • A. Mhemdi
  • O. G. Elbarbary
  • T. M. Al-shami
  • Ahmed Mostafa Khalil

Abstract

In this paper, we purposed further study on rough functions and introduced some concepts based on it. We introduced and investigated the concepts of topological lower and upper approximations of near-open sets and studied their basic properties. We defined and studied new topological neighborhood approach of rough functions. We generalized rough functions to topological rough continuous functions by different topological structures. In addition, topological approximations of a function as a relation were defined and studied. Finally, we applied our approach of rough functions in finding the images of patient classification data using rough continuous functions.

Suggested Citation

  • A. S. Salama & A. Mhemdi & O. G. Elbarbary & T. M. Al-shami & Ahmed Mostafa Khalil, 2021. "Topological Approaches for Rough Continuous Functions with Applications," Complexity, Hindawi, vol. 2021, pages 1-12, March.
    • Handle: RePEc:hin:complx:5586187
    DOI: 10.1155/2021/5586187
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2021/5586187.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2021/5586187.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5586187?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ayşegül Çaksu Güler & Mehmet Ali Balcı & Larissa M. Batrancea & Ömer Akgüller & Lucian Gaban, 2023. "Novel Graph Neighborhoods Emerging from Ideals," Mathematics, MDPI, vol. 11(10), pages 1-17, May.

    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:5586187. 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.