Jawad, MuhammadNaz, MunazzaJarad, FahdAbdeljawad, ThabetShabir, MuhammadMushtaq, Rimsha2023-12-292025-09-182023-12-292025-09-182023Shabir, Muhammad;...et.al. (2023). "Int N-Soft Substructures of Semigroups", Mathematics, Vol.11, No.2.2227-7390https://doi.org/10.3390/math11020267https://hdl.handle.net/20.500.12416/13143Jarad, Fahd/0000-0002-3303-0623; Jawad, Muhammad/0000-0003-3663-2256; Abdeljawad, Thabet/0000-0002-8889-3768The 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 gamma-inclusive set, int N-soft subsemigroups, int N-soft left [right] ideals of S, int N-soft product and int N-soft characteristic function, theta-Generalized int N-soft subsemigroups and theta-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 gamma-inclusive set.eninfo:eu-repo/semantics/openAccessSoft SetN-Soft SetGamma-Inclusive SetInt Soft SubsemigroupsInt N-Soft SubsemigroupsInt N-Soft Left IdealsInt N-Soft ProductArticle10.3390/math110202672-s2.0-85146754957