Idempotent pseudo-n-uninorms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603ADD" target="_blank" >RIV/61988987:17610/25:A2603ADD - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011425001265?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011425001265?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2025.109387" target="_blank" >10.1016/j.fss.2025.109387</a>

Result language
angličtina
Original language name
Idempotent pseudo-n-uninorms
Original language description
The structure of idempotent pseudo-n-uninorms, non-commutative generalizations of idempotent n-uninorms, is investigated. First, idempotent pseudo-2-uninorms are characterized by their decomposition into an idempotentpseudo-uninorm and a special idempotent pseudo-2-uninorm, for which thediviFBsion point z is a (left/right) annihilator. These results are then used in characterization of all idempotent pseudo-n-uninorms by decomposition based on their set of left (right) annihilators and Clifford’s ordinal sum. The achieved results reveal that the structure of pseudo-n-uninorms is significantly different from that of n-uninorms and general pseudo-n-uninorms cannot be decomposed via z-ordinal sum. These results provide new insights into the nature of non-commutative aggregation functions.
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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