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Functional dependencies of data tables over domains with similarity relations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F05%3A00002481" target="_blank" >RIV/61989592:15310/05:00002481 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Functional dependencies of data tables over domains with similarity relations

  • Original language description

    We study attribute dependencies in a setting of fuzzy logic. Our dependencies are described by formulas $ARightarrow B$ where $A$ and $B$ are fuzzy sets of attributes. The meaning of $ARightarrow B$ is that any two objects that have similar values on attributes from $A$ have also similar values on attributes from $B$. Our approach generalizes classical functional dependencies from databases and also several approaches to functional dependencies in fuzzy databases. We show a connection to other interpretation of formulas $ARightarrow B$ which we studied before. Although the two interpretations are different, they have the same concept of semantic entailment. This connection enables us to find a complete axiomatization of reasoning with our attributedependencies. We prove completeness theorem in the usual as well as in a so-called graded style. The connection also enables us to compute a complete non-redundant basis of all functional dependencies which are true in a data table. We pr

  • Czech name

    Funkcionální závislosti datových tabulek nad doménami s relacemi podobnosti

  • Czech description

    Studie atributových závislostí datových tabulek nad doménami v kontextu fuzzy logiky.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BD - Information theory

  • OECD FORD branch

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

    2005

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of 2nd Indian International Conference on Artificial Intelligence

  • ISBN

    0-9727412-1-6

  • ISSN

  • e-ISSN

  • Number of pages

    19

  • Pages from-to

    2486-2504

  • 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