On the definition of penalty functions in data aggregation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00477083" target="_blank" >RIV/67985556:_____/17:00477083 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2016.09.011" target="_blank" >http://dx.doi.org/10.1016/j.fss.2016.09.011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2016.09.011" target="_blank" >10.1016/j.fss.2016.09.011</a>

Result language
angličtina
Original language name
On the definition of penalty functions in data aggregation
Original language description
In this paper, we point out several problems in the different definitions (and related results) of penalty functions found in the literature. Then, we propose a new standard definition of penalty functions that overcomes such problems. Some results related to averaging aggregation functions, in terms of penalty functions, are presented, as the characterization of averaging aggregation functions based on penalty functions. Some examples are shown, as the penalty functions based on spread measures, which happen to be continuous. We also discuss the definition of quasi-penalty functions, in order to deal with non-monotonic (or weakly/directionally monotonic) averaging functions.
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
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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