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Fuzzy Class Theory as Foundations for Fuzzy Mathematics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F05%3A00006366" target="_blank" >RIV/00216208:11210/05:00006366 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy Class Theory as Foundations for Fuzzy Mathematics

  • Original language description

    LPi-omega is a deductive first-order theory over fuzzy logic LPi, which axiomatically captures Zadehs notion of fuzzy set and aims at giving a unified formal framework for a large part of fuzzy mathematics. An overview of the concepts expressible in thetheory is given and informal proof methods for doing fuzzy mathematics in Lpi-omega are sketched.

  • Czech name

    Teorie fuzzy tříd jakožto základy fuzzy matematiky

  • Czech description

    LPi-omega je prvořádová deduktivní teorie nad fuzzy logikou LPi; tato teorie zachycuje axiomatický Zadehův pojem fuzzy množiny a je vytvořena s cílem poskytnout formální aparát pro značnou část fuzzy matematiky. Příspěvek podává základní přehled pojmů vyjádřitelných v této teorii a stručně popisuje metody neformálních důkazů pro fuzzy matematiku v LPi-omega.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    AB - History

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GD401%2F03%2FH047" target="_blank" >GD401/03/H047: Logical foundations of semantics and knowledge representation</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

    Fuzzy Logic, Soft Computing and Computational Intelligence: Eleventh International Fuzzy Systems Association World Congress

  • ISBN

    7-302-11377-7

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    1233-1238

  • Publisher name

    Tsinghua University Press and Springer

  • Place of publication

    Beijing

  • Event location

  • Event date

  • Type of event by nationality

  • UT code for WoS article