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math.GM2023
On the lattice of fuzzy rough sets
Dávid Gégény, Sándor Radeleczki
By the means of lower and upper fuzzy approximations we define quasiorders. Their properties are used to prove our main results. First, we characterize those pairs of fuzzy sets wh…
math.RA2023
Generalized Quasiorders and the Galois Connection End-gQuord
Danica Jakubíková-Studenovská, Reinhard Pöschel, Sándor Radeleczki
Equivalence relations or, more general, quasiorders (i.e., reflexive and transitive binary relations) have the property that an -ary operation preserves , i.e., i…
math.RA2023★ 5 cited
Pseudo-Kleene algebras determined by rough sets
Jouni Järvinen, Sándor Radeleczki
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…