Geodesic
Derived Operations in Goguen Categories
Theory and applications of categories, Tome 10 (2002), pp. 220-247

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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 ${\mathcal L}$.

Classification : 18B10, 03G15.
Keywords: Goguen category, Fuzzy Relation, Dedekind category. 
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     author = {Michael Winter},
     title = {Derived {Operations} in {Goguen} {Categories}},
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     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a10/}
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Michael Winter. Derived Operations in Goguen Categories. Theory and applications of categories, Tome 10 (2002), pp. 220-247. http://geodesic.mathdoc.fr/item/TAC_2002_10_a10/