RT journal article
T1 Rough sets based on Galois connections
A1 Madrid Labrador, Nicolás Miguel
A1 Medina Moreno, Jesús
A1 Ramírez Poussa, Eloísa
A2 Matemáticas
K1 rough sets
K1 Galois connections
K1 approximation operators
AB Rough set theory is an important tool to extract knowledge from relational databases. The original definitions of approximation operators are based on an indiscernibility relation, which is an equivalence one. Lately. different papers have motivated the possibility of considering arbitrary relations. Nevertheless, when those are taken into account, the original definitions given by Pawlak may lose fundamental properties. This paper proposes a possible solution to the arising problems by presenting an alternative definition of approximation operators based on the closure and interior operators obtained from an isotone Galois connection. We prove that the proposed definition satisfies interesting properties and that it also improves object classification tasks.
PB UNIV ZIELONA GORA PRESS
SN 1641-876X
YR 2020
FD 2020-06
LK http://hdl.handle.net/10498/23485
UL http://hdl.handle.net/10498/23485
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026