Int N-Soft Substructures of Semigroups

Muhammad Shabir, Rimsha Mushtaq, Muhammad Jawad (), Munazza Naz, Fahd Jarad () and Thabet Abdeljawad
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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
Thabet Abdeljawad: Department of Mathematics and Sciences, Prince Sultan University, Riyadh P.O. Box 66833, Saudi Arabia

Mathematics, 2023, vol. 11, issue 2, 1-23

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.

Keywords: soft set; N-soft set; ?-inclusive set; int soft subsemigroups; int N-soft subsemigroups; int N-soft left ideals; int N-soft product (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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