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Derived Operations in Goguen Categories

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Michael Winter

Goguen categories were introduced in as a suitable
categorical description of ${\mathcal L}$-fuzzy relations, i.e., of
relations taking values from an arbitrary complete Brouwerian lattice
${\mathcal L}$ instead of the unit interval $[0,1]$ of the real numbers.
In this paper we want to study operations on morphisms of a Goguen
category which are derived from suitable binary functions on the
underlying lattice of scalar elements, i.e., on the abstract counterpart
of ${\mathcal L}$.

Keywords: Goguen category, Fuzzy Relation, Dedekind category.

2000 MSC: 18B10, 03G15.

*Theory and Applications of Categories*, Vol. 10, 2002, No. 11, pp 220-247.

http://www.tac.mta.ca/tac/volumes/10/11/10-11.dvi

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