Directional Shift-Stable Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609833" target="_blank" >RIV/61989592:15310/21:73609833 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/9/10/1077/htm" target="_blank" >https://www.mdpi.com/2227-7390/9/10/1077/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math9101077" target="_blank" >10.3390/math9101077</a>

Result language
angličtina
Original language name
Directional Shift-Stable Functions
Original language description
Recently, some new types of monotonicity-in particular, weak monotonicity and directional monotonicity of an n-ary real function-were introduced and successfully applied. Inspired by these generalizations of monotonicity, we introduce a new notion for n-ary functions acting on [0,1](n), namely, the directional shift stability. This new property extends the standard shift invariantness (difference scale invariantness), which can be seen as a particular directional shift stability. The newly proposed property can also be seen as a particular kind of local linearity. Several examples and a complete characterization for the case of n=2 of directionally shift-stable aggregation and pre-aggregation functions are also given.
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

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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