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Journal Article

On the coincidence of the pan-integral and the Choquet integral

Li J., Mesiar Radko, Ouyang Y., Wu L.

: Fuzzy Sets and Systems vol.467, 08577

: monotone measure, (M)-property, weak (M)-property, Choquet integral, Pan integral

: 10.1016/j.fss.2023.108577

: http://library.utia.cas.cz/separaty/2023/E/mesiar-0576153.pdf

: https://www.sciencedirect.com/science/article/pii/S016501142300218X?via%3Dihub

(eng): 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.

: BA

: 10101