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Fuzzy Metric Spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F08%3APU79874" target="_blank" >RIV/00216305:26210/08:PU79874 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy Metric Spaces

  • Original language description

    In this paper, we define a fuzzy metric space by means of Zadeh's extension principle. We formulate significant properties of this fuzzy metric space such as symmetry, positive semi-definity and the triangle inequality in several theorems and illustratethem by examples. We show that, by fuzzifying a contractive mapping, we obtain a fuzzy contractive mapping.

  • Czech name

    Fuzzy metrické prostory

  • Czech description

    Pomocí Zadehova principu rozšíření definujeme fuzzy metrický prostor. Formulujeme jeho základní vlastnosti a ukážeme, že fuzifikací kontraktivního zobrazení obdržíme fuzzy kontraktivní zobrazení.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1M06047" target="_blank" >1M06047: Research Center for Quality and Reliability of Production</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

  • Article name in the collection

    Mendel 2008

  • ISBN

    978-80-214-3675-6

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

  • Publisher name

    BUT

  • Place of publication

    Brno

  • Event location

    Brno University of Technology

  • Event date

    Jun 18, 2008

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article