IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n9073944.html

The Role of Soft θ‐Topological Operators in Characterizing Various Soft Separation Axioms

Author

Listed:
  • Zanyar A. Ameen
  • Tareq M. Al-shami
  • Abdelwaheb Mhemdi
  • Mohammed E. El-Shafei

Abstract

This manuscript begins with an introduction to a soft θ‐kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ‐kernel operator is weaker than soft kernel operator but stronger than soft θ‐closure. Both soft θ‐closure and soft θ‐kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft Ri‐topologies and soft Tj‐topologies, for i = 0,1 and j = 0,1,2.

Suggested Citation

  • Zanyar A. Ameen & Tareq M. Al-shami & Abdelwaheb Mhemdi & Mohammed E. El-Shafei, 2022. "The Role of Soft θ‐Topological Operators in Characterizing Various Soft Separation Axioms," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:9073944
    DOI: 10.1155/2022/9073944
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/9073944
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9073944?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
    ---><---

    References listed on IDEAS

    as
    1. José Carlos R. Alcantud, 2020. "Soft Open Bases and a Novel Construction of Soft Topologies from Bases for Topologies," Mathematics, MDPI, vol. 8(5), pages 1-12, April.
    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.
    1. T. M. Al-shami, 2020. "Soft Separation Axioms and Fixed Soft Points Using Soft Semiopen Sets," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    2. Basit Ali & Naeem Saleem & Nozara Sundus & Sana Khaleeq & Muhammad Saeed & Reny George, 2022. "A Contribution to the Theory of Soft Sets via Generalized Relaxed Operations," Mathematics, MDPI, vol. 10(15), pages 1-14, July.
    3. Tareq M. Al-shami & Zanyar A. Ameen & Radwan Abu-Gdairi & Abdelwaheb Mhemdi, 2023. "On Primal Soft Topology," Mathematics, MDPI, vol. 11(10), pages 1-15, 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:wly:jjmath:v:2022:y:2022:i:1:n:9073944. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.