Abstract
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.
Partially supported by the State Research Agency (AEI) and the European Regional Development Fund (ERDF) project TIN2016-76653-P.
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Cornejo, M.E., Medina-Moreno, J., Ramírez-Poussa, E. (2020). On the Exchange Principle in Adjoint Triples. In: Kóczy, L., Medina-Moreno, J., Ramírez-Poussa, E., Šostak, A. (eds) Computational Intelligence and Mathematics for Tackling Complex Problems. Studies in Computational Intelligence, vol 819. Springer, Cham. https://doi.org/10.1007/978-3-030-16024-1_8
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