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7 papers
Algebraic Approach to Directed Rough Sets
Mani A, Sandor Radeleczki
In relational approach to general rough sets, ideas of directed relations are supplemented with additional conditions for multiple algebraic approaches in this research paper. The…
Notes on the lattice of fuzzy rough sets with crisp reference sets
Dávid Gégény, László Kovács, Sándor Radeleczki
Since the theory of rough sets was introduced by Zdzislaw Pawlak, several approaches have been proposed to combine rough set theory with fuzzy set theory. In this paper, we examine…
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…
Defining rough sets using tolerances compatible with an equivalence
Jouni Järvinen, László Kovács, Sándor Radeleczki
We consider tolerances compatible with an equivalence on , meaning that the relational product is included in . We present the essential properties of …
Involutive right-residuated l-groupoids
Ivan Chajda, Sandor Radeleczki
A common generalization of orthomodular lattices and residuated lattices is provided corresponding to bounded lattices with an involution and sectionally extensive mappings. It tur…