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

Bagirmaz, NurettınOguz, Gulay2026-05-152026-05-1520260037-87122175-1188https://hdl.handle.net/20.500.12514/10903https://doi.org/10.5269/bspm.79005This 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.en10.5269/bspm.79005info:eu-repo/semantics/closedAccessApproximation SpaceHyper SemigroupRough Hyper-SemigroupRough SetsRough HyperidealSub HypersemigroupA New Perspective for Investigation of Rough Upper and Lower Approximation Operations Based on Hypersemigroups and HyperidealsArticle