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On the Exchange Principle in Adjoint Triples

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Computational Intelligence and Mathematics for Tackling Complex Problems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 819))

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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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Cádiz, Cádiz, Spain

    M. Eugenia Cornejo, Jesús Medina-Moreno & Eloísa Ramírez-Poussa

Authors
  1. M. Eugenia Cornejo
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  2. Jesús Medina-Moreno
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  3. Eloísa Ramírez-Poussa
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Corresponding author

Correspondence to M. Eugenia Cornejo .

Editor information

Editors and Affiliations

  1. Faculty of Engineering Sciences, Széchenyi István University, Gyõr, Hungary

    László T Kóczy

  2. Science Faculty, Department of Mathematics, University of Cádiz, Cádiz, Spain

    Jesús Medina-Moreno

  3. Faculty of Economic and Business Sciences, Department of Mathematics, University of Cádiz, Cádiz, Spain

    Eloísa Ramírez-Poussa

  4. Institute of Mathematics and Computer Science, University of Latvia, Riga, Latvia

    Alexander Šostak

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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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