Shahrood University of TechnologyJournal of Algebraic Systems2345-5128Articles in Press20240409Dedekind-MacNeille Completion of the Rough Sets System as Pasting of Rough Approximation Lattices313110.22044/jas.2024.13825.1775ENUmadevi DwaraganDepartment of Engineering Mathematics,
HKBK College of Engineering, BengaluruJournal Article20231111The pattern of embedding of rough approximation lattices defined by a reflexive relation in its Dedekind-MacNeille completion of rough sets system is taken up for study in this work.<br />The reflexive relation R for which the Dedekind-MacNeille completion of rough sets system defined by R is the pasting of its rough approximation lattices is characterized. Some properties of the<br />Dedekind-MacNeille completion of rough sets system defined by a<br />reflexive relation R are also discussed.