Dedekind-MacNeille Completion of the Rough Sets System as Pasting of Rough Approximation Lattices

Document Type : Original Manuscript

Author

Department of Engineering Mathematics, HKBK College of Engineering, Bengaluru

Abstract

The 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.
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
Dedekind-MacNeille completion of rough sets system defined by a
reflexive relation R are also discussed.

Keywords