Publication detail

Fuzzy Metric Spaces

BEDNÁŘ, J.

Czech title

Fuzzy metrické prostory

English title

Fuzzy Metric Spaces

Type

conference paper

Language

en

Original abstract

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 illustrate them by examples. We show that, by fuzzifying a contractive mapping, we obtain a fuzzy contractive mapping.

Czech abstract

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

English abstract

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 illustrate them by examples. We show that, by fuzzifying a contractive mapping, we obtain a fuzzy contractive mapping.

Keywords in Czech

fuzzy metrika, fuzzy metrický prostor, fuzzy kontraktivní zobrazení

Keywords in English

fuzzy metrics, fuzzy distance, fuzzy contractive mapping, fuzzy metric space

RIV year

2008

Released

18.06.2008

Publisher

BUT

Location

Brno

ISBN

978-80-214-3675-6

Book

Mendel 2008

Pages from–to

121–124

Pages count

4

BIBTEX


@inproceedings{BUT30395,
  author="Josef {Bednář},
  title="Fuzzy Metric Spaces",
  booktitle="Mendel 2008",
  year="2008",
  month="June",
  pages="121--124",
  publisher="BUT",
  address="Brno",
  isbn="978-80-214-3675-6"
}