An approach to choice function theory is suggested which is probabilistic and non-deterministic. In the framework of this approach fuzzy choice functions are introduced and a number of necessary and sufficient conditions for a fuzzy choice function to be a fuzzy rational choice function of a certain type are established.
@article{urn:eudml:doc:38932,
title = {A stochastic model of choice.},
journal = {Stochastica},
volume = {9},
year = {1985},
pages = {135-152},
zbl = {0603.90007},
mrnumber = {MR0840458},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38932}
}
Ovchinnikov, Sergei V. A stochastic model of choice.. Stochastica, Tome 9 (1985) pp. 135-152. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38932/