On the equality of integrals

0477101 - ÚTIA 2018 RIV US eng J - Článek v odborném periodiku
Mesiar, Radko - Li, J. - Ouyang, Y.
On the equality of integrals.
Information Sciences. Roč. 393, č. 1 (2017), s. 82-90. ISSN 0020-0255. E-ISSN 1872-6291
Institucionální podpora: RVO:67985556
Klíčová slova: Choquet integral * Concave integral * Minimal atom * Monotone measure * Pan-integral
Obor OECD: Pure mathematics
Impakt faktor: 4.305, rok: 2017
http://library.utia.cas.cz/separaty/2017/E/mesiar-0477101.pdf

Considering a finite space X, several necessary conditions and one rather general sufficient condition describing when the Choquet integral coincides with the pan-integral with respect to the standard arithmetic operations are shown. These conditions are characterized by using the minimal atoms of monotone measure. Under the introduced constraints, the calculation of these coinciding two integrals is also given.
Trvalý link: http://hdl.handle.net/11104/0274036