All the negations of PL(X) satisfying the extension principle and the generalized extension principle are fully described through the negation of L. Necessary and sufficient conditions are given for n to be an ortho or u-complementation and for n to satisfy the DeMorgan laws.
@article{urn:eudml:doc:38842,
title = {Negaciones en la teor\'\i a de conjuntos difusos.},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {33-44},
zbl = {0516.94033},
mrnumber = {MR0625840},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38842}
}
Esteva, Francesc. Negaciones en la teoría de conjuntos difusos.. Stochastica, Tome 5 (1981) pp. 33-44. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38842/