Commutative, associative and monotone functions on horizontal sum of chains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F24%3AA2502LNW" target="_blank" >RIV/61988987:17610/24:A2502LNW - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/abs/pii/S0165011423004888" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0165011423004888</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2023.108843" target="_blank" >10.1016/j.fss.2023.108843</a>
Alternative languages
Result language
angličtina
Original language name
Commutative, associative and monotone functions on horizontal sum of chains
Original language description
The commutative, associative and monotone (CAM) functions on a horizontal sum of bounded chains are studied. Depending on their range, these functions are divided into two main classes and properties of CAM functions from each of these classes are described. Several necessary and sufficient conditions under which a CAM function defined on a horizontal sum of bounded chains can be expressed as a non-trivial (????)-ordinal sum of semigroups are also introduced. Special classes of CAM functions are discussed and several examples are included. Various construction methods for special CAM functions defined on a horizontal sum of bounded chains, such as t-norms, tconorms, uninorms and nullnorms, are also presented.
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
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
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
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Issue of the periodical within the volume
March 2024
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
30
Pages from-to
1-30
UT code for WoS article
001157495900001
EID of the result in the Scopus database
2-s2.0-85181936258