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Relational Constructions in Goguen Categories

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Relational Methods in Computer Science (RelMiCS 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2561))

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Abstract

Goguen categories were introduced as a suitable calculus for L-fuzzy relations, i.e., for relations taking values from an arbitrary complete Brouwerian lattice L instead of the unit interval [ 0, 1 ] of the real numbers. Such a category may provide some relational constructions as products, sums or subobjects. The aim of this paper is to show that under an assumption on the lattice L one may require without loss of generality that the related relations are crisp, i.e., all entries are either the least element 0 or the greatest element 1 of L.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of the Federal Armed Forces Munich, 85577, Neubiberg, Germany

    Michael Winter

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  1. Michael Winter
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Editor information

Editors and Affiliations

  1. Tilburg University, P.O. Box 90153, 5000, LE Tilburg, The Netherlands

    Harrie C. M. de Swart

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© 2002 Springer-Verlag Berlin Heidelberg

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Winter, M. (2002). Relational Constructions in Goguen Categories. In: de Swart, H.C.M. (eds) Relational Methods in Computer Science. RelMiCS 2001. Lecture Notes in Computer Science, vol 2561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36280-0_15

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  • DOI: https://doi.org/10.1007/3-540-36280-0_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00315-1

  • Online ISBN: 978-3-540-36280-7

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