Int N-Soft Substructures of Semigroups

Muhammad Shabir; Rimsha Mushtaq; Muhammad Jawad; Munazza Naz; Fahd Jarad; Thabet Abdeljawad

doi:10.3390/math11020267

Mathematics (Jan 2023)

Int N-Soft Substructures of Semigroups

Muhammad Shabir,
Rimsha Mushtaq,
Muhammad Jawad,
Munazza Naz,
Fahd Jarad,
Thabet Abdeljawad

Affiliations

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

DOI: https://doi.org/10.3390/math11020267
Journal volume & issue: Vol. 11, no. 2
p. 267

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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