The structure of multigranular rough sets
Rings and Algebras
2021-01-26 v2 Discrete Mathematics
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.
Cite
@article{arxiv.2002.05238,
title = {The structure of multigranular rough sets},
author = {Jouni Järvinen and Sándor Radeleczki},
journal= {arXiv preprint arXiv:2002.05238},
year = {2021}
}
Comments
Keywords: equivalence relation, multigranular approximation, definable set, rough set, coherence, tolerance relation, irredundant covering, atomistic Boolean lattice, completely distributive lattice, Dedekind-MacNeille completion