%0 Journal Article %A Cornejo Piñero, María Eugenia %A Medina Moreno, Jesús %A Ramírez Poussa, Eloísa %T Implication operators generating pairs of weak negations and their algebraic structure %D 2021 %@ 0165-0114 %U http://hdl.handle.net/10498/30911 %X 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. %K Fuzzy sets %K Adjoint triples %K Negation operators %K Pair of weak negations %~ Universidad de Cádiz