Atoms of weakly null-additive monotone measures and integrals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00432227" target="_blank" >RIV/67985556:_____/14:00432227 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ins.2013.09.013" target="_blank" >http://dx.doi.org/10.1016/j.ins.2013.09.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2013.09.013" target="_blank" >10.1016/j.ins.2013.09.013</a>

Result language
angličtina
Original language name
Atoms of weakly null-additive monotone measures and integrals
Original language 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 alsoshown.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP402%2F11%2F0378" target="_blank" >GAP402/11/0378: Aggregation of knowledge and expectations in the models of mathematical economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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