Fuzzy Attribute Implications and their Expressive Power
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33148376" target="_blank" >RIV/61989592:15310/13:33148376 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218488513500244" target="_blank" >http://dx.doi.org/10.1142/S0218488513500244</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218488513500244" target="_blank" >10.1142/S0218488513500244</a>
Alternative languages
Result language
angličtina
Original language name
Fuzzy Attribute Implications and their Expressive Power
Original language description
We deal with the expressive power of if-then rules called fuzzy attribute implications (FAIs) which can be seen as formulas A =} B where both A and B are conjunctions of subformulas containing propositional variables and constants for truth degrees and whose interpretation is parameterized by linguistic hedges. The formulas admit the following model-theoretical property: a system of fuzzy sets S is a fuzzy closure system satisfying an additional condition of being closed under a*-shifts (so-called L*-closure system) if and only if S is a system of models of a set of FAIs. In this paper, we point out the importance of constants of truth degrees in the antecedents of formulas by showing that simpler formulas are not sufficient to describe all L*-closuresystems. As a practical consequence, the simpler formulas cannot be used as an alternative description of concept lattices with linguistic hedges.
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/GAP103%2F11%2F1456" target="_blank" >GAP103/11/1456: Foundations of Similarity-Based Data Processing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
ISSN
0218-4885
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
4
Country of publishing house
SG - SINGAPORE
Number of pages
14
Pages from-to
483-496
UT code for WoS article
000322959200001
EID of the result in the Scopus database
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