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

Auteurs-es

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

Résumé

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.