On the Exchange Principle in Adjoint Triples

Adjoint triples are a general structure composed of operators satisfying weak properties, which are usefully used in important frameworks such as fuzzy logic programming, formal concept analysis and fuzzy relation equations. In this work, we will analyze how the exchange principle law should be defined on adjoint triples and what conditions the conjunction of an adjoint triple should fulfill in order to guarantee that its corresponding residuated implications satisfy such property.