Multi-Adjoint Algebras Versus Extended-Order Algebras
M. Eugenia Cornejo · 2015
Adjoint triples are an interesting generalization of t-nor ms and their residuated implications, since they increase t he flexibility in the framework where they are used. Following t he same motivation of adjoint triples, in order to reduce the mathematical requirements for the computation, extended-order algebras are studied. Extended-order algebras are implicative algebras that generalize the integral residuated structures. In this paper, adjoint triples will be related to the operators considered in exten ded-order algebras. Furthermore, a comparison between adjoint negations and the negations introduced in extended-order algebras is presented.