A New Perspective for Investigation of Rough  Upper and Lower Approximation Operations  Based on Hypersemigroups and Hyperideals:  Rough  Upper and Lower Approximation Operations  Based on Hypersemigroups and Hyperideals

Gulay OGUZ; Nurettin BAGIRMAZ

doi:10.5269/bspm.79005

A New Perspective for Investigation of Rough Upper and Lower Approximation Operations Based on Hypersemigroups and Hyperideals

Rough Upper and Lower Approximation Operations Based on Hypersemigroups and Hyperideals

Autores

Gulay OGUZ Harran University
Nurettin BAGIRMAZ Vocational School, Mardin Artuklu University, 47100, Mardin, TURKEY. https://orcid.org/0000-0002-7663-3002

DOI:

https://doi.org/10.5269/bspm.79005

Resumo

This paper focuses on integrating rough approximations into hypersemigroups. In this context, the definition and properties of rough approximations are given on a hypersemigroup. Later, the concepts of subhypersemigroups and hyperideals are explained and some important properties are proved. Finally, rough sets in a quotient hypersemigroup presented and their structural properties are investigated.

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Publicado

2026-02-23

Edição

v. 44 n. 3 (2026): Advances in Algebra, Analysis, Optimization, and Modeling

Seção

Conf. Issue: Advances in Algebra, Analysis, Optimization, and Modeling

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

Como Citar

OGUZ, G., & BAGIRMAZ, N. (2026). A New Perspective for Investigation of Rough Upper and Lower Approximation Operations Based on Hypersemigroups and Hyperideals: Rough Upper and Lower Approximation Operations Based on Hypersemigroups and Hyperideals. Boletim Da Sociedade Paranaense De Matemática, 44(3), 1-9. https://doi.org/10.5269/bspm.79005