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

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.