0504582 - ÚTIA 2020 RIV NL eng J - Článek v odborném periodiku
Ouyang, Y. - Li, J. - Mesiar, Radko
A sufficient condition of equivalence of the Choquet and the pan-integral.
Fuzzy Sets and Systems. Roč. 355, č. 1 (2019), s. 100-105. ISSN 0165-0114. E-ISSN 1872-6801
Institucionální podpora: RVO:67985556
Klíčová slova: Monotone measure * Choquet integral * Pan-integral * (M)-property
Obor OECD: Statistics and probability
Impakt faktor: 3.305, rok: 2019
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2019/E/mesiar-0504582.pdf https://www.sciencedirect.com/science/article/pii/S0165011418301246

In this note, we continue to investigate the relationship between the Choquet integral and the pan-integral on infinite space. We will show that the (M)-property of monotone measures is a sufficient condition that the Choquet integral coincides with the pan-integral. In this discussion, the spaces are not restricted to be finite, thus the previous results obtained in finite space are further generalized and developed. A characteristic of the (M)-property of monotone measures is also presented.
Trvalý link: http://hdl.handle.net/11104/0297075