A Generalization of the Choquet Integral Defined in Terms of the Mobius Transform

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73609870" target="_blank" >RIV/61989592:15310/20:73609870 - isvavai.cz</a>
Result on the web
<a href="https://academica-e.unavarra.es/xmlui/bitstream/handle/2454/40510/2021020104_Fernandez_GeneralizationChoquet.pdf;jsessionid=7E52C4EFD68B80C22664915A2DD40727?sequence=1" target="_blank" >https://academica-e.unavarra.es/xmlui/bitstream/handle/2454/40510/2021020104_Fernandez_GeneralizationChoquet.pdf;jsessionid=7E52C4EFD68B80C22664915A2DD40727?sequence=1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TFUZZ.2019.2933803" target="_blank" >10.1109/TFUZZ.2019.2933803</a>

Result language
angličtina
Original language name
A Generalization of the Choquet Integral Defined in Terms of the Mobius Transform
Original language description
In this article, we propose a generalization of the Choquet integral, starting fromits definition in terms of the Mobius transform. We modify the product on R considered in the Lovasz extension form of the Choquet integral into a function F, and we discuss the properties of this new functional. For a fixed n, a complete description of all F yielding an n-ary aggregation function with a fixed diagonal section, independent of the considered fuzzy measure, is given, and several particular examples are presented. Finally, all functionsF yielding an aggregation function, independent of the number n of inputs and of the considered fuzzy measure, are characterized, and related aggregation functions are shown to be just the Choquet integrals over the distorted inputs.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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