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A new view on (2,2)-regular AG groupoid via DFS sets with applications

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1Department of Mathematics &amp2Statistics, the University of Haripur, Haripur, KPK, Pakistan3Department of Mathematics &amp4Statistics, the University of Haripur, Haripur, KPK, Pakistan5Department of Mathematics, Faculty of Science and Arts ,muhayl Asser, King Khalid University , K.S.A and Department of Mathematics and Computer, Faculty of Science, IBB University, IBB, Yemen6Faculty of Engineering, Arab Academy for Science Technology and Maritime Transport (Aastmt), Aswan Branch, Egypty7Department of Mathematics, Faculty of Science and Arts ,muhayl Asser, King Khalid University , K.S.A and Department of Mathematics and Computer, Faculty of Science, IBB University, IBB, Yemen

* Corresponding Author: M. M. Khalaf. Email:

Annals of Communications in Mathematics 2022, 5 (2), 97-120. https://doi.org/10.62072/acm.2022.050204

Received: 3 Aug 2022 |

Accepted: 15 Oct 2022 |

Published: 30 Nov 2022

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Abstract

In this paper, we study DFS left (right, two-sided) ideals, DFS (generalized) bi-ideals, DFS interior ideals and DFS (1, 2)-ideals of (2,2)-regular AG–Groupoid over an initial universe set U. We have shown that these DFS ideals are coincides in a (2,2)-regular unitary AG–Groupoid. Further we investigate some useful conditions for an AG–Groupoid to become a (2,2)-regular AG–Groupoid and characterize a (2,2)-regular AG–Groupoid in terms of DFS ideals. Finally we apply DFS expert sets to develop a decision making scheme for everyday problems.

Keywords

(2,2)-regular AG groupoid; AG–Groupoids; decision making; DF S-ideals; Left invertive law

Cite This Article

M. M. Al-Shamiri, M. M. Khalaf, M.I. Khan, R. Ismail, T. Asif.

A new view on (2,2)-regular AG groupoid via DFS sets with applications.

Annals of Communications in Mathematics

2022,

5 (2):

97-120.

https://doi.org/10.62072/acm.2022.050204

Copyright © 2022 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).