@article{Nykyforchyn_Hlushak_2017, title={Approximation of capacities with additive measures}, volume={9}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1451}, DOI={10.15330/cmp.9.1.92-97}, abstractNote={<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>}, number={1}, journal={Carpathian Mathematical Publications}, author={Nykyforchyn, O.R. and Hlushak, I.D.}, year={2017}, month={Jun.}, pages={92–97} }