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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Decomposition of pseudo-uninorms with continuous underlying functions via ordinal sum
Original language description
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.
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
10102 - Applied mathematics

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

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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