On the number of aggregation functions on finite chains as a generalization of Dedekind numbers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73617148" target="_blank" >RIV/61989592:15310/23:73617148 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011422004821" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011422004821</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2022.11.012" target="_blank" >10.1016/j.fss.2022.11.012</a>
Alternative languages
Result language
angličtina
Original language name
On the number of aggregation functions on finite chains as a generalization of Dedekind numbers
Original language description
The aim of this paper is to show that the cardinality of the set of all n-ary aggregation functions defined on finite chains can be seen as a two-fold generalization of Dedekind numbers. One generalization arises naturally from the commonly used definition of aggregation function. The second one goes in the spirit of the former Dedekind's definition, i.e., it is shown that n-ary aggregation functions equipped with certain operations form a free algebra in a finitely generated variety over the set of n generators.
Czech name
—
Czech description
—
Classification
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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FUZZY SETS AND SYSTEMS
ISSN
0165-0114
e-ISSN
1872-6801
Volume of the periodical
466
Issue of the periodical within the volume
AUG
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
"108441-1"-"108441-7"
UT code for WoS article
001013284600001
EID of the result in the Scopus database
2-s2.0-85143884163