About: Atoms of weakly null-additive monotone measures and integrals

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Atoms of weakly null-additive monotone measures and integrals Atoms of weakly null-additive monotone measures and integrals (en)
skos:prefLabel	Atoms of weakly null-additive monotone measures and integrals Atoms of weakly null-additive monotone measures and integrals (en)
skos:notation	RIV/67985556:_____/14:00432227!RIV15-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP402/11/0378)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Mesiar, Radko
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	4459
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/14:00432227
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	atom of a measure; weak null-additivty; monotone measure (en)
http://linked.open.../riv/klicoveSlovo	monotone measure atom of a measure weak null-additivty
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[57CF4D9F6028]
http://linked.open...i/riv/nazevZdroje	Information Sciences
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Aggregation of knowledge and expectations in the models of mathematical economics
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	257
http://linked.open...iv/tvurceVysledku	Li, J. Mesiar, Radko Pap, E.
http://linked.open...ain/vavai/riv/wos	000329003200013
issn	0020-0255
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ins.2013.09.013

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