Transfer-stable aggregation functions on finite lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603601" target="_blank" >RIV/61989592:15310/20:73603601 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020025520301262" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025520301262</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2020.02.043" target="_blank" >10.1016/j.ins.2020.02.043</a>

Result language
angličtina
Original language name
Transfer-stable aggregation functions on finite lattices
Original language description
The paper by Z. Kurač, 2019 deals with a new property, the so-called transfer-stability, characterizing the arithmetic mean. With this property, it is possible to define special forms of arithmetic mean on finite chains. The idempotence property was required for this definition. In this paper, we neglect this necessity and deal only with transfer-stable aggregation functions. Thanks to this fact, it is possible to define these aggregation functions on any finite lattice (hereinafter “lattice”) and not only on finite chains. Transfer-stable aggregation functions can be defined on any finite lattice. Nevertheless, there is a subclass of finite lattices, the so-called transfer-stable lattices, where the behavior of the transfer-stable aggregation functions is simply described because the transfer-stability classes are linearly ordered. Therefore, the main goal of this paper is characterization of these transfer-stable lattices. The second half of the paper deals with some useful properties associated with the lattice of all k-ary transfer-stable aggregation functions.
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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