0576153 - ÚTIA 2024 RIV NL eng J - Článek v odborném periodiku
Li, J. - Mesiar, Radko - Ouyang, Y. - Wu, L.
On the coincidence of the pan-integral and the Choquet integral.
Fuzzy Sets and Systems. Roč. 467, č. 1 (2023), č. článku 08577. ISSN 0165-0114. E-ISSN 1872-6801
Institucionální podpora: RVO:67985556
Klíčová slova: monotone measure * (M)-property * weak (M)-property * Choquet integral * Pan integral
Obor OECD: Pure mathematics
Impakt faktor: 3.2, rok: 2023
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2023/E/mesiar-0576153.pdf https://www.sciencedirect.com/science/article/pii/S016501142300218X?via%3Dihub

We introduce the concept of weak (M)-property of a monotone measure and prove that this condition is not only sufficient, but also necessary for the coincidence of the pan-integral and the Choquet integral on monotone measure spaces. The previous results we obtained are substantially improved. An open problem concerning the weak (M)-property is raised.
Trvalý link: https://hdl.handle.net/11104/0346455