Once the concept of De Morgan algebra of fuzzy sets on a universe X can be defined, we give a necessary and sufficient condition for a De Morgan algebra to be isomorphic to (represented by) a De Morgan algebra of fuzzy sets.
@article{urn:eudml:doc:38848, title = {On a representation theorem of De Morgan algebras by fuzzy sets.}, journal = {Stochastica}, volume = {5}, year = {1981}, pages = {109-115}, zbl = {0477.06011}, mrnumber = {MR0641841}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38848} }
Esteva, Francesc. On a representation theorem of De Morgan algebras by fuzzy sets.. Stochastica, Tome 5 (1981) pp. 109-115. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38848/