The structure of multigranular rough sets
arXiv:2002.05238 · doi:10.3233/FI-2020-1961
Abstract
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.
Keywords: equivalence relation, multigranular approximation, definable set, rough set, coherence, tolerance relation, irredundant covering, atomistic Boolean lattice, completely distributive lattice, Dedekind-MacNeille completion