@misc{10498/30935,
year = {2021},
url = {http://hdl.handle.net/10498/30935},
abstract = {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.},
organization = {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.},
publisher = {Elsevier},
keywords = {Adjoint triples},
keywords = {Residuated operators},
keywords = {Complete lattices},
title = {Algebraic structure and characterization of adjoint triples},
doi = {10.1016/J.FSS.2021.02.002},
author = {Cornejo Piñero, María Eugenia and Medina Moreno, Jesús and Ramírez Poussa, Eloísa},
}