Superadditive and subadditive transformations of integrals and aggregation functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00458803" target="_blank" >RIV/67985556:_____/16:00458803 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2015.08.006" target="_blank" >http://dx.doi.org/10.1016/j.fss.2015.08.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2015.08.006" target="_blank" >10.1016/j.fss.2015.08.006</a>

Result language
angličtina
Original language name
Superadditive and subadditive transformations of integrals and aggregation functions
Original language description
We propose the concepts of superadditive and of subadditive transformations of aggregation functions acting on non-negative reals, in particular of integrals with respect to monotone measures. We discuss special properties of the proposed transforms and links between some distinguished integrals. Superadditive transformation of the Choquet integral, as well as of the Shilkret integral, is shown to coincide with the corresponding concave integral recently introduced by Lehrer. Similarly the transformation of the Sugeno integral is studied. Moreover, subadditive transformation of distinguished integrals is also discussed.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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