In this paper we present and develop, only elementarily, an axiomatic frame for some special fuzzy relations, the so called relational probabilities, which happen to be families of functions which in some cases are quantic probabilities [1] on sublattices of a given lattice; in this way we obtain calculations similar to the ordinary ones but based on a weaker lattice background. This framework is inspired on the presentation of conditional probability on Boolean algebras made in [5] and in [4] and improves further steps given in [6].
@article{urn:eudml:doc:38991,
title = {Relational probabilities on intuitionistic lattices.},
journal = {Stochastica},
volume = {12},
year = {1988},
pages = {85-102},
zbl = {0707.60001},
mrnumber = {MR1024751},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38991}
}
Trillas, Enric. Relational probabilities on intuitionistic lattices.. Stochastica, Tome 12 (1988) pp. 85-102. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38991/