In a previous work ([3]) we proved that the Nguyen's condition for [f(tilde-A)]α to be equal to f(Aα) also holds for the most general class of the L-fuzzy subsets, where L is an arbitrary lattice. Here we recall the main points of the proof ad present some examples ralated to non-linear lattices.
@article{urn:eudml:doc:39072, title = {Generalized version of the compatibility theorem. Two examples.}, journal = {Mathware and Soft Computing}, volume = {3}, year = {1996}, pages = {193-197}, zbl = {0854.04007}, mrnumber = {MR1414266}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39072} }
Bertoluzza, Carlo; Bodini, Antonella. Generalized version of the compatibility theorem. Two examples.. Mathware and Soft Computing, Tome 3 (1996) pp. 193-197. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39072/