39 citations · 182 across the 24 of their papers we have counts for
11 papers · 1 filter
Characterising regular double Stone and pseudocomplemented Kleene algebras in completions of rough sets induced by reflexive relations
Jouni Järvinen, Sándor Radeleczki
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…
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…
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…
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…
Defining rough sets as core-support pairs of three-valued functions
Jouni Järvinen, Sándor Radeleczki
We answer the question what properties a collection of three-valued functions on a set must fulfill so that there exists a quasiorder on such that the…
The structure of multigranular rough sets
Jouni Järvinen, Sándor Radeleczki
We study multigranulation spaces of two equivalences. The lattice-theoretical properties of so-called "optimistic" and "pessimistic" multigranular approximation systems are given.…
G. Czédli's tolerance factor lattice construction, and weak ordered relations
Sándor Radeleczki
The main results of the paper points out the connection between the weak ordered relations and factor lattices defined by tolerances. It is proved that for any tolerance of a l…
Tolerances induced by irredundant coverings
Jouni Järvinen, Sándor Radeleczki
In this paper, we consider tolerances induced by irredundant coverings. Each tolerance on determines a quasiorder by setting if and only if $R…
Rough sets determined by tolerances
Jouni Järvinen, Sándor Radeleczki
We show that for any tolerance on , the ordered sets of lower and upper rough approximations determined by form ortholattices. These ortholattices are completely distrib…
Information completeness in Nelson algebras of rough sets induced by quasiorders
Jouni Järvinen, Piero Pagliani, Sándor Radeleczki
In this paper, we give an algebraic completeness theorem for constructive logic with strong negation in terms of finite rough set-based Nelson algebras determined by quasiorders. W…
Rough Sets Determined by Quasiorders
Jouni Järvinen, Sándor Radeleczki, Laura Veres
In this paper, the ordered set of rough sets determined by a quasiorder relation is investigated. We prove that this ordered set is a complete, completely distributive lattice.…