Trillas ([1]) has defined a relational probability on an intuitionistic algebra and has given its basic properties. The main results of this paper are two. The first one says that a relational probability on a intuitionistic algebra defines a congruence such that the quotient is a Boolean algebra. The second one shows that relational probabilities are, in most cases, extensions of conditional probabilities on Boolean algebras.
@article{urn:eudml:doc:38992,
title = {On the structure of intuitionistic algebras with relational probabilities.},
journal = {Stochastica},
volume = {12},
year = {1988},
pages = {103-111},
zbl = {0716.60003},
mrnumber = {MR1024752},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38992}
}
Esteva, Francesc. On the structure of intuitionistic algebras with relational probabilities.. Stochastica, Tome 12 (1988) pp. 103-111. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38992/