RT journal article
T1 Algebraic structure and characterization of adjoint triples
A1 Cornejo Piñero, María Eugenia
A1 Medina Moreno, Jesús
A1 Ramírez Poussa, Eloísa
A2 Matemáticas
K1 Adjoint triples
K1 Residuated operators
K1 Complete lattices
AB Implications pairs, adjoint pairs and adjoint triples provide general residuated structures considered in different mathematical theories. In this paper, we carry out a deep study on the operators involved in these structures, showing how they are characterized by means of the irreducible elements of a complete lattice. Moreover, the structure of each class of these operators will be analyzed. As a consequence, the use of these operators in real problems will be more tractable, fostering their consideration as basic and useful operators for providing, for instance, preferences among attributes and objects in a given database.
PB Elsevier
SN 0165-0114
YR 2021
FD 2021
LK http://hdl.handle.net/10498/30935
UL http://hdl.handle.net/10498/30935
LA eng
NO Partially supported by the 2014-2020 ERDF Operational Programme in collaboration with the State Research Agency (AEI) in projects TIN2016-76653-P and PID2019-108991GB-I00, and with the Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia in project FEDER-UCA18-108612, and by the European Cooperation in Science & Technology (COST) Action CA17124.
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026