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/