Ordinal sum constructions for aggregation functions on the real unit interval

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302FV0" target="_blank" >RIV/61988987:17610/22:A2302FV0 - isvavai.cz</a>
Result on the web
<a href="https://ijfs.usb.ac.ir/article_6553_6beeac25621da8d6e197c370d729fd2c.pdf" target="_blank" >https://ijfs.usb.ac.ir/article_6553_6beeac25621da8d6e197c370d729fd2c.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22111/IJFS.2022.6553" target="_blank" >10.22111/IJFS.2022.6553</a>

Result language
angličtina
Original language name
Ordinal sum constructions for aggregation functions on the real unit interval
Original language description
We discuss ordinal sums as one of powerful tools in the aggregation theory serving, depending on the context, both as a construction method and as a representation, respectively. Up to recalling of several classical results dealing with ordinal sums, in particular dealing, e.g., with continuous t-norms, copulas, or recent results, e.g., concerning uninorms with continuous underlying functions, we present also several new results, such as the uniqueness of the link between t-norms or t-conorms, and related Archimedean components, problems dealing with the cardinality of the considered index sets in ordinal sums, or infinite ordinal sums of aggregation functions covering by one type of ordinal sums both t-norms and t-conorms ordinal sums.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
—
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

Similar results(10)