Soft algebraic structures embedded with soft members and soft elements: an abstract approach

Volume 33, Issue 3, pp 250--263 https://dx.doi.org/10.22436/jmcs.033.03.04

Publication Date: January 14, 2024 Submission Date: November 05, 2023 Revision Date: November 23, 2023 Accteptance Date: December 05, 2023

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Authors

M. Saeed - Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan. I. Shafique - Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan. - Department of Mathematics, Forman Christian College (A Chartered University), Lahore, Pakistan. A. U. Rahman - Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan. S. El-Morsy - Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya 51951, Saudi Arabia. - Basic Science Department, Nile Higher Institute for Engineering and Technology, Mansoura, Egypt.

Abstract

As a new area of study in pure mathematics, the theory of soft sets is expanding by redefining fundamental ideas as algebraic structures, such as soft groups, soft rings, and soft fields. It also finds applications in other domains, regarding data analysis and decision-making. This study manipulates soft members and soft elements to explore soft structures from a traditional point of view, making it easier to comprehend soft algebraic structures. The soft inverse of a soft member and the soft identity member are generalized for any soft group, and a method to count the number of possible soft subgroups of a soft group is also provided.

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Keywords

• Soft member
• mathematical model
• soft group
• soft ring
• soft field
• computational model

MSC

•  20N25
•  20N99
•  08A70
•  08A72

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