A new approach to soft groups based on soft binary operations

ABSTRACT

In this paper, we propose a new definition for soft groups based on soft binary operations. The idea is to bring the archetype of “softness” into the spectrum of algebraic structures using soft binary operations parametrized by a given set of suitable parameters. One of our achievement is that we obtain an ordinary group model representing our soft group. The existing classical group serves as a model to describe and characterize the overall internal properties of our soft groups. In this vein, we further investigate the soft subgroups (respectively, normal soft subgroups) and proved some structural theorems.

KEYWORDS:

• Soft mappings
• soft binary operations
• soft groups based on soft binary operations
• soft subgroups
• normal soft subgroups

MATHEMATICS SUBJECT CLASSIFICATION:

• 06D72
• 20N99

Disclosure statement

No potential conflict of interest was reported by the author(s).

Authors contribution

All the authors contributed equally to the writing of this manuscript. They also read and approved the final manuscript

Human and animal rights

This article does not contain any studies with human participants or animals performed by any of the authors.

Data availability statement

No data were used to support this study.

Supplementary material

Supplemental data for this article can be accessed online at https://doi.org/10.1080/27684830.2023.2289733

Additional information

Funding

There was no financial support for this particular study.