IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3334-d1206041.html
   My bibliography  Save this article

Soft Slight Omega-Continuity and Soft Ultra-Separation Axioms

Author

Listed:
  • Samer Al Ghour

    (Department of Mathematics, Jordan University of Science and Technology, Irbid 22110, Jordan)

  • Hanan Al-Saadi

    (Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 24225, Saudi Arabia)

Abstract

The notions of continuity and separation axioms have significance in topological spaces. As a result, there has been a substantial amount of research on continuity and separation axioms, leading to the creation of several modifications of these axioms. In this paper, the concepts of soft slight ω -continuity, soft ultra-Hausdorff, soft ultra-regular, and soft ultra-normal are initiated and investigated. Their characterizations and main features are determined. Also, the links between them and some other relevant concepts are obtained with the help of examples. Moreover, the equivalency between these notions and other related concepts is given under some necessary conditions. In addition, the inverse image of the introduced types of soft separation axioms under soft slight continuity and soft slight ω -continuity is studied, and their reciprocal relationships with respect to their parametric topological spaces are investigated.

Suggested Citation

  • Samer Al Ghour & Hanan Al-Saadi, 2023. "Soft Slight Omega-Continuity and Soft Ultra-Separation Axioms," Mathematics, MDPI, vol. 11(15), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3334-:d:1206041
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3334/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3334/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Çagman, Naim & Enginoglu, Serdar, 2010. "Soft set theory and uni-int decision making," European Journal of Operational Research, Elsevier, vol. 207(2), pages 848-855, December.
    2. Tareq M. Al-shami & Abdelwaheb Mhemdi & Radwan Abu-Gdairi, 2023. "A Novel Framework for Generalizations of Soft Open Sets and Its Applications via Soft Topologies," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
    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. Raees Khan & Asghar Khan & M. Uzair Khan & Hidayat Ullah Khan, 2018. "Right Pure Uni-Soft Ideals Of Ordered Semigroups," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(1), pages 18-23, January.
    2. Ahmad Al-Omari & Wafa Alqurashi, 2023. "Hyperconnectedness and Resolvability of Soft Ideal Topological Spaces," Mathematics, MDPI, vol. 11(22), pages 1-10, November.
    3. Zanyar A. Ameen & Tareq M. Al-shami & Radwan Abu-Gdairi & Abdelwaheb Mhemdi, 2023. "The Relationship between Ordinary and Soft Algebras with an Application," Mathematics, MDPI, vol. 11(9), pages 1-12, April.
    4. Samer Al Ghour & Hanan Al-Saadi, 2023. "Soft ω - θ -Continuous and Soft Weakly θ ω -Continuous Mappings," Mathematics, MDPI, vol. 11(19), pages 1-15, September.
    5. Dina Abuzaid & Samer Al-Ghour & Monia Naghi, 2024. "On Soft ω δ -Open Sets and Some Decomposition Theorems," Mathematics, MDPI, vol. 12(6), pages 1-14, March.
    6. Chiranjibe Jana & Madhumangal Pal, 2019. "On ( α , β )-US Sets in BCK / BCI -Algebras," Mathematics, MDPI, vol. 7(3), pages 1-18, March.
    7. Yong Yang & Ling Zeng & Xia Tan & Hao Chen, 2013. "Similarity coefficient in soft set theory," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 119-126, March.
    8. Tahir Ayaz & Arif Mehmood Khattak & Nisar Ahmad, 2018. "Supra Soft R-Separation Axioms," Acta Scientifica Malaysia (ASM), Zibeline International Publishing, vol. 2(2), pages 27-31, August.
    9. Santanu Acharjee, 2018. "On Connections of Soft Set Theory with Existing Mathematics of Uncertainties: A Short Discussion for Non-Mathematicians with Respect to Soft Set Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-9, March.
    10. Sandeep Kaur & Tareq M. Al-shami & Alkan Özkan & M. Hosny, 2023. "A New Approach to Soft Continuity," Mathematics, MDPI, vol. 11(14), pages 1-11, July.
    11. 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.

    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:11:y:2023:i:15:p:3334-:d:1206041. 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.