TY - JOUR
AU - Nykyforchyn, O.R.
AU - Hlushak, I.D.
PY - 2017/06/23
Y2 - 2024/07/13
TI - Approximation of capacities with additive measures
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 9
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.9.1.92-97
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/1451
SP - 92-97
AB - <p>For a space of non-additive regular measures on a metric compactum with the Prokhorov-style metric, it is shown that the problem of approximation of arbitrary measure with an additive measure on a fixed finite subspace reduces to linear optimization problem with parameters dependent on the values of the measure on a finite number of sets.</p><p>An algorithm for such an approximation, which is more efficient than the straighforward usage of simplex method, is presented.</p>
ER -