IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i2p267-d1024889.html
   My bibliography  Save this article

Int N-Soft Substructures of Semigroups

Author

Listed:
  • Muhammad Shabir

    (Department of Mathematics, Quaid i Azam University, Islamabad 44000, Pakistan)

  • Rimsha Mushtaq

    (Department of Mathematics, Quaid i Azam University, Islamabad 44000, Pakistan)

  • Muhammad Jawad

    (Department of Commerce, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan)

  • Munazza Naz

    (Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan)

  • Fahd Jarad

    (Department of Mathematics, Cankaya University, Ankara 06790, Turkey
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • Thabet Abdeljawad

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh P.O. Box 66833, Saudi Arabia)

Abstract

The N-soft sets are newly defined structures with many applications in the real world. We aim for combining the semigroup theory and N-soft sets to provide a comprehensive account of the hybrid framework of N-soft Semigroups. In this paper, we define the γ -inclusive set, int N-soft subsemigroups, int N-soft left [right] ideals of S , int N-soft product and int N-soft characteristic function, θ -Generalized int N-soft subsemigroups and θ -Generalized int N-soft left [right] ideals of S . We also discuss some examples and theorems based on the restricted (extended) union, restricted (extended) intersection, and γ -inclusive set.

Suggested Citation

  • Muhammad Shabir & Rimsha Mushtaq & Muhammad Jawad & Munazza Naz & Fahd Jarad & Thabet Abdeljawad, 2023. "Int N-Soft Substructures of Semigroups," Mathematics, MDPI, vol. 11(2), pages 1-23, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:267-:d:1024889
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/2/267/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/2/267/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Muhammad Shabir & Muhammad Irfan Ali, 2009. "Soft Ideals And Generalized Fuzzy Ideals In Semigroups," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 599-615.
    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. Arif Mehmood Khattak & Gulzar Ali Khan & Mujeeb Ur Rehman & Sameena Nadeem & Muhammad Safeer, 2018. "P-Separation Axioms In Supra Soft Topological Space," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(2), pages 7-10, January.
    2. Wei Yang, 2013. "New similarity measures for soft sets and their application," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 19-25, March.
    3. Samaher Adnan Abdul-Ghani & Shuker Mahmood Khalil & Mayadah Abd Ulrazaq & Abu Firas Muhammad Jawad Al-Musawi, 2018. "New Branch of Intuitionistic Fuzzification in Algebras with Their Applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-6, July.
    4. H. Hazra & P. Majumdar & S. K. Samanta, 2012. "Soft topology," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 105-115, March.

    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:2:p:267-:d:1024889. 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.