2026-05-05T18:43:35.215Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:1871 2014-01-27T09:03:04Z 2

Atoms of weakly null-additive monotone measures and integrals 2014 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/1871 http://www.journals.elsevier.com/information-sciences/ R. Mesiar J. Li E. Pap 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 complete and separable 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. article 257 1 183 192 0020-0255 INFORMATION SCIENCES