Double-Framed Soft Set Theory Applied to Abel-Grassmann’s Hypergroupoids

Muhammad Izhar (), Tariq Mahmood (), Asghar Khan (), Muhammad Farooq () and Kostaq Hila
Additional contact information
Muhammad Izhar: Department of Mathematics, Government College Garhi Kapura Mardan, Khyber Pakhtunkhwa Pakistan
Tariq Mahmood: Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan
Asghar Khan: Department of Mathematics, Abdul Wali Khan, University Mardan, Khyber Pakhtunkhwa Pakistan
Muhammad Farooq: Department of Mathematics, Abdul Wali Khan, University Mardan, Khyber Pakhtunkhwa Pakistan
Kostaq Hila: Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana, Albania

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 03, 819-841

Abstract: In this paper, we apply the concept of double-framed soft sets to Abel-Grassmann’s hypergroupoids (AG-hypergroupoids). We define double-framed soft AG-hypergroupoids (DFS AG-hypergroupoids) and double-framed soft left (respectively, right) (briefly DFS-left (respectively, DFS-right)) hyperideals of AG-hypergroupoids. It is shown that an idempotent DFS-left hyperideal is a DFS-hyperideal. Also a DFS right hyperideal becomes DFS hyperideal when pure left identity is adjoined to an AG-hypergroupoid, but the converse is not true. We also discuss some properties of these hyperideals in regular AG-hypergroupoids.

Keywords: DFS soft set; DFS soft AG-hypergroupoid; DFS soft hyperideal (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005722500399
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:18:y:2022:i:03:n:s1793005722500399

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005722500399

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().