Canonical form of ordered weighted averaging operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603677" target="_blank" >RIV/61989592:15310/20:73603677 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10479-020-03802-6" target="_blank" >https://link.springer.com/article/10.1007%2Fs10479-020-03802-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10479-020-03802-6" target="_blank" >10.1007/s10479-020-03802-6</a>

Result language
angličtina
Original language name
Canonical form of ordered weighted averaging operators
Original language description
Discrete Ordered Weighted Averaging (OWA) operators as one of the most representative proposals of Yager (1988) have been widely used and studied in both theoretical and application areas. However, there are no effective and systematic corresponding methods for continuous input functions. In this study, using the language of measure (capacity) space we propose a Canonical Form of OWA operators which yield some common properties like Monotonicity and Idempotency and thus serve as a generalization of Discrete OWA operators. We provide also a representation of the Canonical Form by means of asymmetric Choquet integrals. The Canonical Form of OWA operators can effectively handle some input functions defined on ordered sets.
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
—
OECD FORD branch
10103 - Statistics and probability

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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