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Fuzzy Transform as an Additive Normal Form

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F06%3A00000007" target="_blank" >RIV/61988987:17610/06:00000007 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy Transform as an Additive Normal Form

  • Original language description

    In this paper, we recall a class of approximating formulas. Since they arose as a generalization of classical normal forms we denote them by the same term. Moreover, we will show that the fuzzy transform (F-transform) introduced as an approximation method for continuous functions can be viewed as a particular case of normal form. Therefore, the results valid for normal forms may be applied to F-transforms as well.

  • Czech name

    Fuzzy transformace jakožto aditivní normální forma

  • Czech description

    V tomto článku pracujeme s jistou třídou aproximačních formulí, které jsou zobecněním klasických normálních forem. Dále ukážeme, že fuzzy transformace múže být chápána jako speciální případ normální formy. A proto výsledky platné pro normální formy mohoubýt využity i pro fuzzy transformaci.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • 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

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fuzzy Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    12

  • Pages from-to

    1024

  • UT code for WoS article

  • EID of the result in the Scopus database