Abstract :
We prove for minitive set functions defined on a algebra, a similar decomposition theorem to the Yosida–Hewittʹs one for classical measures, this way any minitive set function can be decomposed in a fuzzy minitive measure part and a purely minitive part. A particular attention is given for the countable case where the canonical description of any (sigma)-continuous necessity is fully elicited and provide a simple way to compute the Choquet integral of any bounded Asequence
