@misc{10498/30911, year = {2021}, url = {http://hdl.handle.net/10498/30911}, abstract = {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.}, organization = {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.}, publisher = {ELSEVIER}, keywords = {Fuzzy sets}, keywords = {Adjoint triples}, keywords = {Negation operators}, keywords = {Pair of weak negations}, title = {Implication operators generating pairs of weak negations and their algebraic structure}, doi = {10.1016/J.FSS.2020.01.008}, author = {Cornejo Piñero, María Eugenia and Medina Moreno, Jesús and Ramírez Poussa, Eloísa}, }