The structure of pseudo-n-uninorms with continuousunderlying functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603BM1" target="_blank" >RIV/61988987:17610/25:A2603BM1 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0097/html" target="_blank" >https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0097/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2025-0097" target="_blank" >10.1515/ms-2025-0097</a>
Alternative languages
Result language
angličtina
Original language name
The structure of pseudo-n-uninorms with continuousunderlying functions
Original language description
The characterization of pseudo-n-uninorms with continuous underlying functions, i.e., the non-commutative version of n-uninorms, where all underlying (pseudo-)t-norms and (pseudo-)t-conorms are continuous, is discussed.The structure of an n-uninorm, which can be decomposed by the z-ordinal sum and the structure of a pseudo-n-uninorm, which cannot be decomposed by this approach, in general, are compared. It is shown that any pseudo-n-uninorm with continuous underlying functions can be decomposed via non-commutative ordinal sum into trivial and representable summands.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
1337-2211
Volume of the periodical
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Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
24
Pages from-to
1331-1354
UT code for WoS article
001637912400012
EID of the result in the Scopus database
2-s2.0-105025550330