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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

  • DOI - Digital Object Identifier

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

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

  • 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

  • UT code for WoS article

  • EID of the result in the Scopus database