0441980 20240103205830.520150415235959.9 000348259500009 84919622956 10.1016/j.jmaa.2014.11.058 13 s. P cav_un_epca*02570170022-247X4242 (2015)975-987Elsevier Monotone measure Minimal atom Concave integral Pan-integral Minimal atom cav_un_auth*0258953 Ouyang Y. CN K 30 cav_un_auth*0205590 Li J. CN 30 cav_un_auth*0101163 Mesiar Radko Ekonometrie Department of Econometrics E E UTIA-B Department of Econometrics 40 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/E/mesiar-0441980.pdf This study discusses the relationship between the concave integrals and the pan-integrals on finite spaces. The minimal atom of a monotone measure is introduced and some properties are investigated. By means of two important structure characteristics related to minimal atoms: minimal atoms disjointness property and subadditivity for minimal atoms, a necessary and sufficient condition is given that the concave integral coincides with the pan-integral with respect to the standard arithmetic operations + and on finite spaces. Following this result, we have shown that these two integrals coincide if the underlying monotone measure is subadditive. 2016 BA 3 RVO:67985556 http://hdl.handle.net/11104/0246074 S MATHEMATICS|MATHEMATICS.APPLIED 1.130 0.26 9.3 0.04573 0.712 18112 1.150 Q1 0.890 989 Q1 57.178 73.9 Q2 Q1 82.212 2015 84919622956 SCOPUS 000348259500009 WOS cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 424 č. 2 2015 975 987 Elsevier