%0 Journal Article 
%A Lobo Palacios, David
%A López Marchante, Víctor
%A Medina Moreno, Jesús
%T On the impact of sup-compositions in the resolution of multi-adjoint relation equations
%D 2023
%@ 0170-4214
%U http://hdl.handle.net/10498/31222
%X Multi-adjoint relation equations are defined by means of a sup-composition operator involving different conjunctions. Former works reveal that the resolution of a multi-adjoint relation equation is closely related to such conjunctions. This paper presents a first approach on the study of the influence of the selection of a sup-composition operator in different aspects of multi-adjoint relation equations, as their solvability or the extremal elements of their solution set. The obtained results are illustrated by an example concerning multi-adjoint logic programming. Last but not least, a procedure for reducing the computation of the solution set when only the sup-composition operator is modified is also introduced.
%K adjoint triple
%K concept lattice
%K fuzzy relation equation
%K multi-adjoint lattice
%~ Universidad de Cádiz