Axiomatizations of fuzzy attribute logic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F05%3A00002093" target="_blank" >RIV/61989592:15310/05:00002093 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Axiomatizations of fuzzy attribute logic
Original language description
We study fuzzy attribute logic, i.e. a logic for reasoning about formulas of the form $ARightarrow B$ where $A$ and $B$ are fuzzy sets (non-sharp collections) of attributes. A formula $ARightarrow B$ is true in a data table with fuzzy attributes iff each object having all attributes from $A$ has also all attributes from $B$, membership degrees of $A$ and $B$ playing a role of thresholds. We present a set of axioms and prove syntactico-semantical completeness with respect to the data table semantics. We also prove some derived rules in our axiomatic system. Furthermore, we introduce a notion of a degree to which a fuzzy set $T$ of formulas entails a formula $ARightarrow B$ and prove completeness in Pavelka style (graded completeness) which says thata degree to which $ARightarrow B$ semantically follows from $T$ equals a degree to which $ARightarrow B$ is provable from $T$.
Czech name
Axiomatizace fuzzy atributové logiky
Czech description
Studie axiomatizace fuzzy atributové logiky

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of 2nd Indian International Conference on Artificial Intelligence
ISBN
0-9727412-1-6
ISSN
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e-ISSN
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Number of pages
2280
Pages from-to
2178-2193
Publisher name
Indian International Conference on Artificial Intelligence
Place of publication
Pune, India
Event location
Pune, India
Event date
Jan 1, 2005
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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