RT journal article
T1 Attribute Implication Bases From Galois Connection Structures
A1 Cornejo Piñero, María Eugenia
A1 Medina Moreno, Jesús
A1 Ocaña Alcázar, Francisco José
A2 Matemáticas
K1 attribute implication
K1 base
K1 Galois connection
K1 ultiadjoint concept lattice
AB Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real-world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules. With this significant aim, attribute implications were introduced in the mathematical framework of Formal Concept Analysis. In this paper, we will introduce a novel procedure to obtain relationships among variables from any dataset in which a Galois connection has been defined. In particular, we will be focused on the general multiadjoint framework, which is one of the most general approached in which a Galois connection have been considered, although the obtained results and methodology can also be used in other well-known approaches, such as in the residuated or heterogeneous frameworks.
PB Wiley
SN 1099-1476
YR 2026
FD 2026-11
LK http://hdl.handle.net/10498/39160
UL http://hdl.handle.net/10498/39160
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-may-2026