Algebraic Structure of Adjoint Triples Generating a Weak Negation on the Unit Interval [chapter]

M. Eugenia Cornejo, Jesús Medina, Eloísa Ramírez-Poussa
2020 Lecture Notes in Computer Science  
This paper presents a theoretical research about the relationship between weak negations and adjoint negations. Adjoint negations are a generalization of residuated negations built from the implications of an adjoint triple. Specifically, this work shows how to build adjoint triples on the unit interval such that their adjoint negations coincide with a given weak negation. Moreover, the algebraic structure formed by these adjoint triples is also investigated.
doi:10.1007/978-3-030-52705-1_25 fatcat:gzcakcjkpvblbecfasija5sgui