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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
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    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.
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