0432227 20240103204702.720141013235959.9 000329003200013 10.1016/j.ins.2013.09.013 10 s. P cav_un_epca*02567520020-02552571 (2014)183-192Elsevier atom of a measure weak null-additivty monotone measure cav_un_auth*0205590 Li J. CN 20 cav_un_auth*0101163 Mesiar Radko Ekonometrie Department of Econometrics E E UTIA-B Department of Econometrics K 60 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0280491 Pap E. RS 20 http://library.utia.cas.cz/separaty/2014/E/mesiar-0432227.pdf GAP402/11/0378 GA ČR cav_un_auth*0273630 In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by Pap. The calculation of the Sugeno integral and the Choquet integral over an atom is also presented, respectively. Similar results for recently introduced universal integral are also given. Following these results, it is shown that the Sugeno integral and the Choquet integral over an atom of monotone measure is maxitive linear and standard linear, respectively. Convergence theorems for the Sugeno integral and the Choquet integral over an atom of a monotone measure are also shown. 2015 BA 3 RVO:67985556 http://hdl.handle.net/11104/0237121 S COMPUTERSCIENCEINFORMATIONSYSTEMS 0.873 2.226 Q1 74.327 96.043 Q2 Q1* 2014 000329003200013 WOS cav_un_epca*0256752 Information Sciences 0020-0255 1872-6291 Roč. 257 č. 1 2014 183 192 Elsevier