A Yosida-Hewitt decomposition for minitive set functions
We prove for minitive set functions defined on a a-algebra, a similar decomposition theorem to the Yosida-Hewitt's 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 a-continuous necessity is fully elicited and provide a simple way to compute the Choquet integral of any bounded sequence. (c) 2005 Elsevier B.V. All rights reserved.
yosida-hewitt decomposition choquet integral non-additive measures necessity measures