On the axiomatization of some classes of discrete universal integrals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00375887" target="_blank" >RIV/67985556:_____/12:00375887 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.knosys.2011.10.015" target="_blank" >http://dx.doi.org/10.1016/j.knosys.2011.10.015</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.knosys.2011.10.015" target="_blank" >10.1016/j.knosys.2011.10.015</a>

Result language
angličtina
Original language name
On the axiomatization of some classes of discrete universal integrals
Original language description
Following the ideas of the axiomatic characterization of the Choquet integral due to [D. Schmeidler, Integral representation without additivity, Proc. Amer. Math. Soc. 97 (1986) 255?261] and of the Sugeno integral given in [J.-L. Marichal, An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework, IEEE Trans. Fuzzy Syst. 9 (2001) 164?172], we provide a general axiomatization of some classes of discrete universal integrals, including thecase of discrete copula- based universal integrals (as usual, the product copula corresponds just to the Choquet integral, and the minimum to the Sugeno integral).
Czech name
—
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
—

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
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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