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

Authors

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

Abstract

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.