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Normal Forms for Fuzzy Logic Functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F03%3A00000016" target="_blank" >RIV/61988987:17610/03:00000016 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Normal Forms for Fuzzy Logic Functions

  • Original language description

    Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is shown that infinite normal forms are univ ersal representation formulas whereas finite normal forms are universal approximation formulas for any $L$-valued function where $L$ is a support set of any complete BL-algebra. The additive normal form ``lies'' in the middle of the two others. Fo r all ofthem the estimation of the quality of approximation is suggested.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1187301" target="_blank" >IAA1187301: Theory of Fuzzy Functions and Their Representation</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2003

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proc. Int. Seminar on Multiple-Valued Logic ISMVL 2003

  • ISBN

    0-7695-1918-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    59-64

  • Publisher name

    IEEE Computer Society

  • Place of publication

    Tokyo

  • Event location

    Tokyo

  • Event date

    May 16, 2003

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article