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math.RA2026
Characterising regular double Stone and pseudocomplemented Kleene algebras in completions of rough sets induced by reflexive relations
Jouni Järvinen, Jouni Järvinen, Sándor Radeleczki +1
We consider Kleene and Stone algebras defined on the completion DM(RS) of the ordered set of rough sets induced by a reflexive relation. We focus on the cases where the completion…
math.RA2025
The structure of rough sets defined by reflexive relations
Jouni Järvinen, Sándor Radeleczki
For several types of information relations, the induced rough sets system RS does not form a lattice but only a partially ordered set. However, by studying its Dedekind-MacNeille c…