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Implication Triples versus Adjoint Triples

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Advances in Computational Intelligence (IWANN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6692))

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Abstract

Implication triples and adjoint triples are two of the more general residuated operators which have been applied independently in manifold important fields. This paper presents diverse properties of adjoint triples in order to relate them to implication triples. As a consequence of this relation, we obtain, for example, that a multi-adjoint lattice in multi-adjoint logic programming is a particular case of a complete adjointness lattice.

Partially supported by the Spanish Science Ministry under grant TIN2009-14562-C05-03 and by Junta de Andalucía under grant P09-FQM-5233.

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Cornejo, M.E., Medina, J., Ramírez, E. (2011). Implication Triples versus Adjoint Triples. In: Cabestany, J., Rojas, I., Joya, G. (eds) Advances in Computational Intelligence. IWANN 2011. Lecture Notes in Computer Science, vol 6692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21498-1_57

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  • DOI: https://doi.org/10.1007/978-3-642-21498-1_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21497-4

  • Online ISBN: 978-3-642-21498-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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