Extremal symmetrization of aggregation functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73590115" target="_blank" >RIV/61989592:15310/18:73590115 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10479-017-2471-x" target="_blank" >https://link.springer.com/article/10.1007%2Fs10479-017-2471-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10479-017-2471-x" target="_blank" >10.1007/s10479-017-2471-x</a>

Result language
angličtina
Original language name
Extremal symmetrization of aggregation functions
Original language description
For aggregating observed unordered n values, based on an n-ary aggregation function A, two extremal symmetric aggregation functions A* and A(*) are introduced and discussed. In the case of weighted arithmetic means, the representation of A* and A(*) as particular OWA operators is shown. Considering weighted aggregation function A(w) with unordered weights and input values to be aggregated, another two symmetric aggregation functions (A(w))(lozenge) and (A(w))(lozenge) are introduced and discussed. A relation between our approach and the Hungarian algorithm known from the linear optimization domain is also shown.
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
10102 - Applied mathematics

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

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