Agusfrianto, Fakhry Asad and Fitriani, Fitriani and Mahatma, Yudi (2022) Rough Rings, Rough Subrings, and Rough Ideals. Journal of Fundamental Mathematics and Applications (JFMA), 5 (2). pp. 1-3. ISSN 2621-6019
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Abstract
The basic concept in algebra namely set theory can be expanded into rough set theory. Basic operations on the set such as intersections, unions, differences, and complements still apply to rough sets. In addition, one of the applications on rough sets is the use of rough matrices in decision-making processes. Furthermore, mathematical or informatic researchers who work on rough sets connect the concept of rough sets with algebraic structures (e.g. groups, rings, and modules) so that a concept called rough algebraic structures is obtained. Since the research related to rough sets is mostly carried out at the same time, different concepts have emerged related to rough sets and rough algebraic structures. In this paper, new definitions of the rough ring and rough subring will be given along with related examples and theorems. Furthermore, it will also be defined the left ideal and the right ideal of the rough ring along with examples. Finally, we will discuss the theorem regarding rough ideals.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika |
| Depositing User: | FITRIANI FITRIANI |
| Date Deposited: | 02 Dec 2022 01:25 |
| Last Modified: | 02 Dec 2022 01:25 |
| URI: | http://repository.lppm.unila.ac.id/id/eprint/47116 |
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