Decomposition of pseudo-uninorms with continuous underlying functions via ordinal sum

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA26038KP" target="_blank" >RIV/61988987:17610/25:A26038KP - isvavai.cz</a>
Výsledek na webu
<a href="https://linkinghub.elsevier.com/retrieve/pii/S0020025524014877" target="_blank" >https://linkinghub.elsevier.com/retrieve/pii/S0020025524014877</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2024.121573" target="_blank" >10.1016/j.ins.2024.121573</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Decomposition of pseudo-uninorms with continuous underlying functions via ordinal sum
Popis výsledku v původním jazyce
The decomposition of all pseudo-uninorms with continuous underlying functions, defined on the unit interval, via Clifford’s ordinal sum is described. It is shown that each such pseudo-uninorm can be decomposed into representable and trivial semigroups, and special semigroups defined on twopoints, where the corresponding semigroup operation is the projection to one of the coordinates. Linear orders, for which the ordinal sum of such semigroups yields a pseudo-uninorm, are also characterized.
Název v anglickém jazyce
Decomposition of pseudo-uninorms with continuous underlying functions via ordinal sum
Popis výsledku anglicky
The decomposition of all pseudo-uninorms with continuous underlying functions, defined on the unit interval, via Clifford’s ordinal sum is described. It is shown that each such pseudo-uninorm can be decomposed into representable and trivial semigroups, and special semigroups defined on twopoints, where the corresponding semigroup operation is the projection to one of the coordinates. Linear orders, for which the ordinal sum of such semigroups yields a pseudo-uninorm, are also characterized.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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