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Bibliography

Journal Article

A sufficient condition of equivalence of the Choquet and the pan-integral

Ouyang Y., Li J., Mesiar Radko

: Fuzzy Sets and Systems vol.355, 1 (2019), p. 100-105

: Monotone measure, Choquet integral, Pan-integral, (M)-property

: 10.1016/j.fss.2018.03.016

: http://library.utia.cas.cz/separaty/2019/E/mesiar-0504582.pdf

: https://www.sciencedirect.com/science/article/pii/S0165011418301246

(eng): 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.

: BA

: 10103