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 ${\mathcal L}$.
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 http://www.tac.mta.ca/tac/volumes/10/11/10-11.ps http://www.tac.mta.ca/tac/volumes/10/11/10-11.pdf ftp://ftp.tac.mta.ca/pub/tac/html/volumes/10/11/10-11.dvi ftp://ftp.tac.mta.ca/pub/tac/html/volumes/10/11/10-11.psTAC Home