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/