Commutative, associative and non-decreasing functions continuous around diagonal

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302GMC" target="_blank" >RIV/61988987:17610/22:A2302GMC - isvavai.cz</a>
Result on the web
<a href="https://ijfs.usb.ac.ir/article_6786.html" target="_blank" >https://ijfs.usb.ac.ir/article_6786.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22111/IJFS.2022.6786" target="_blank" >10.22111/IJFS.2022.6786</a>

Result language
angličtina
Original language name
Commutative, associative and non-decreasing functions continuous around diagonal
Original language description
We characterize all functions that can be obtained as a z-ordinal sum of semigroups related to continuous t-norms, t-conorms, representable uninorms and idempotent semigroups. We show that this class of functions is bigger than the class of n-uninorms with continuous underlying functions. Vice versa, we show that the characterization of n-uninorms with continuous underlying functions via z-ordinal sum can be extended to any commutative, associative and non- decreasing binary function on the unit interval, which has continuous Archimedean components and is continuous on the diagonal.
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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