RT Journal Article
T1 Multi-adjoint lattices from adjoint triples with involutive negation
A1 Madrid, Nicolás
A1 Ojeda-Aciego, Manuel
K1 Lógica difusa
AB We focus primarily on the use of involutive negations in adjoint triples and the satisfiability of the contraposition law. Instead ofconsidering 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 twonew adjoint triples defined from the original one and the involutive negation considered. Finally, we present several results thatrelate the different implications and conjunctions appearing in the mentioned multi-adjoint lattice in terms of the logical laws ofcontraposition, interchange and exportation.
PB Elsevier
YR 2020
FD 2020-12
LK https://hdl.handle.net/10630/44706
UL https://hdl.handle.net/10630/44706
LA eng
NO Nicolás Madrid , Manuel Ojeda-Aciego. Multi-adjoint lattices from adjoint triples with involutive negation. Fuzzy Sets and Systems Volume 405, Pages 88-105,  2021
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 25 feb 2026