All possible involutions in fuzzy set theory are completely described. Any involution is a composition of a symmetry on a universe of fuzzy sets and an involution on a truth set.
@article{urn:eudml:doc:38823,
title = {Involutions in fuzzy set theory.},
journal = {Stochastica},
volume = {4},
year = {1980},
pages = {227-231},
zbl = {0466.03023},
mrnumber = {MR0599137},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38823}
}
Ovchinnikov, Sergei V. Involutions in fuzzy set theory.. Stochastica, Tome 4 (1980) pp. 227-231. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38823/