Triadic fuzzy Galois connections as ordinary connections
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33155523" target="_blank" >RIV/61989592:15310/14:33155523 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011414000530" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011414000530</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2014.02.003" target="_blank" >10.1016/j.fss.2014.02.003</a>
Alternative languages
Result language
angličtina
Original language name
Triadic fuzzy Galois connections as ordinary connections
Original language description
We present results on triadic Galois connections and trilattices associated with ternary fuzzy relations. These structures are fundamental in the analysis of three-way relational data. We provide an axiomatization of triadic fuzzy Galois connections andestablish two ways of representing these structures by their ordinary counterpartsâEUR"one via a Cartesian representation and the other via a-cuts. The results allow us to easily transfer some of the known results from the ordinary case to the fuzzy case. This transfer is illustrated by an alternative proof of the basic theorem of fuzzy concept trilattices via reduction to the ordinary basic theorem. In addition, we provide a hint to generalize the presented results to n-ary structures which are of increasing importance in data analysis of n-way data.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP202%2F10%2F0262" target="_blank" >GAP202/10/0262: Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
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
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Volume of the periodical
249
Issue of the periodical within the volume
AUG
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
17
Pages from-to
83-99
UT code for WoS article
000338391900005
EID of the result in the Scopus database
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