3 research outputs found
The Structure of Multigranular Rough Sets
We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called "optimistic" and "pessimistic" multigranular approximation systems are given. We also consider the ordered sets of rough sets determined by these approximation pairs
Pseudo-Kleene algebras determined by rough sets
We study the pseudo-Kleene algebras of the Dedekind-MacNeille completion of
the ordered set of rough set determined by a reflexive relation. We
characterize the cases when PBZ and PBZ*-lattices can be defined on these
pseudo-Kleene algebras.Comment: 24 pages, minor update to the initial versio