RT journal article T1 Implication operators generating pairs of weak negations and their algebraic structure A1 Cornejo Piñero, María Eugenia A1 Medina Moreno, Jesús A1 Ramírez Poussa, Eloísa A2 Matemáticas K1 Fuzzy sets K1 Adjoint triples K1 Negation operators K1 Pair of weak negations AB Negations operators have been developed and applied in many fields such as image processing, decision making, mathematical morphology, fuzzy logic, etc. One of the most effective non-monotonic operators are weak negations. This paper studies the algebraic structure and the characterization of the adjoint triples and Galois implication pairs which provides a fixed pair of weak negations. The obtained results allow the user to select the best conjunctor and implications associated with the most suitable negation to be used in the computations of the problem to be solved. PB ELSEVIER SN 0165-0114 YR 2021 FD 2021 LK http://hdl.handle.net/10498/30911 UL http://hdl.handle.net/10498/30911 LA eng NO Partially supported by the State Research Agency (AEI) and the European Regional Development Fund (ERDF) project TIN2016-76653-P, European Cooperation in Science & Technology (COST) Action CA17124. DS Repositorio Institucional de la Universidad de Cádiz RD 08-nov-2026