The equations of left and right distributivity of composition of distribution functions over triangle functions are solved in a restricted domain.
@article{urn:eudml:doc:38853,
title = {Triangle functions and composition of probability distribution functions.},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {25-32},
zbl = {0488.60017},
mrnumber = {MR0625839},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38853}
}
Alsina, Claudi. Triangle functions and composition of probability distribution functions.. Stochastica, Tome 5 (1981) pp. 25-32. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38853/