k-additive aggregation functions and their characterization

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901RRQ" target="_blank" >RIV/61988987:17610/18:A1901RRQ - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ejor.2017.08.036" target="_blank" >http://dx.doi.org/10.1016/j.ejor.2017.08.036</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejor.2017.08.036" target="_blank" >10.1016/j.ejor.2017.08.036</a>

Result language
angličtina
Original language name
k-additive aggregation functions and their characterization
Original language description
Inspired by the Grabisch idea of k-additive measures, we introduce and study k-additive aggregation functions. The Owen multilinear extension of a k-additive capacity is shown to be a particular k-additive aggregation function. We clarify the relation between k-additive aggregation functions and polynomials with degree not exceeding k. We also describe all basic 2-additive n-dimensional aggregation functions whose convex closure forms the class of all 2-additive n-dimensional aggregation functions. Moreover, we define k-arithmetic means and completely characterize 2-arithmetic means and idempotent 2-arithmetic means as well. Finally, we introduce notions of k-ordered weighted averaging operators and k-Choquet integrals.
Czech name
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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
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OECD FORD branch
10100 - Mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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