Relating adjoint negations with strong adjoint negations
M. Eugenia Cornejo, Francesc Esteva, Jesús Medina, E. Ramírez Poussa · DIGITAL.CSIC (Spanish National Research Council (CSIC)) · 2015
[EN]Adjoint negations, whose definition is based on the implications of an adjoint triple, arise as a generalization of residuated negations. Recently, interesting properties of these negation operators have been introduced [5]. In this paper, a comparative survey with weak negations studied by Trillas, Esteva and Domingo [10, 13] is presented. Moreover, the relationship between weak and strong negations, introduced by these authors, is extended to adjoint negations. These technical developments lead us to increase the number of applications of adjoint negations.