RT journal article
T1 Multi-adjoint lattices from adjoint triples with involutive negation
A1 Madrid Labrador, Nicolás Miguel
A1 Ojeda Aciego, Manuel
A2 Matemáticas
K1 Fuzzy logic
K1 adjoint triple
K1 Involutive negation
K1 Contraposition law
K1 Interchange law
K1 Exportation law
K1 Modus tollens
AB We focus primarily on the use of involutive negations in adjoint triples and the satisfiability of the contraposition law. Instead of considering natural negations, such as n(x) = x → 0, we consider an arbitrary involutive negation and an arbitrary adjoint triple. Then, we construct a multiadjoint lattice (an algebraic structure with several conjunctions and implications) with the help of two new adjoint triples defined from the original one and the involutive negation considered. Finally, we present several results that relate the different implications and conjunctions appearing in the mentioned multi-adjoint lattice in terms of the logical laws of contraposition, interchange and exportation.
PB Elsevier
SN 0165-0114
YR 2021
FD 2021-02-15
LK http://hdl.handle.net/10498/38483
UL http://hdl.handle.net/10498/38483
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026