Some New Concepts on Int-Soft Ideals in Ordered Semigroups

G. Muhiuddina, Ebtehaj N. Alenzea (), Ahsan Mahboobb () and Anas Al-Masarwahc ()
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G. Muhiuddina: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
Ebtehaj N. Alenzea: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
Ahsan Mahboobb: #x2020;Department of Mathematics, Madanapalle Institute of Technology & Science, Angallu, Madanapalle 517325, India
Anas Al-Masarwahc: #x2021;School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor DE, Malaysia

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 02, 267-279

Abstract: In the present paper, we introduce some new notions on ordered semigroup. In fact, notion of a convex soft set in an ordered semigroup is introduced, and its basic properties are investigated. Moreover, we consider a characterization of a convex soft set. Furthermore, relations between a convex soft set and an int-soft l-ideal (or, int-soft r-ideal) are studied. Finally, int-soft l-ideals (or, int-soft r-ideals) generated by an ordered soft point are established.

Keywords: Soft set; int-soft l-ideal; int-soft r-ideal; ordered soft point (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500149

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