On the importance of fuzzy attribute implications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00005461" target="_blank" >RIV/61989592:15310/08:00005461 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the importance of fuzzy attribute implications
Original language description
Our paper deals with the expressive power of fuzzy attribute implications which are if-then rules describing dependencies among graded attributes. In our previous work, we have shown that fuzzy attribute implications are important in data mining becausethey can be used as a concise description of all if-then dependencies which are hidden in object-attribute fuzzy relational data. Fuzzy attribute implications can be seen as formulas (in the narrow sense) of the form $boldsymbol{A Rightarrow B}$ whereboth $boldsymbol{A}$ and $boldsymbol{B}$ are conjunctions of subformulas containing constants for truth degrees acting as (constants for) threshold truth degrees. This paper investigates possibility to replace sets of fuzzy attribute implications withfuzzy sets of ordinary if-then formulas in the sense of Pavelka's abstract logic. We reveal the impossibility to replace fuzzy attribute implications by the ordinary formulas without losing their expressive power. From the technical point
Czech name
O důležitosti fuzzy atributových implikací
Czech description
Článek se věnuje vyjadřovací síle fuzzy atributových implikací. Ukazujeme, že fuzzy atributové implikace nelze nahradit když-pak formulemi, které neobsahují konstanty pro pravdivostní hodnoty v antecedentu. Toto je ukázáno na neschopnosti takových formulí popsat systémy pevných bodů fuzzy uzávěrových operátorů.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
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Result continuities
Project
<a href="/en/project/1ET101370417" target="_blank" >1ET101370417: Hierarchical analysis of complex data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of I E E E International Fuzzy Systems Conference
ISSN
1544-5615
e-ISSN
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Volume of the periodical
1
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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