Detail publikace

Fuzzy metriky na prostoru fuzzy bodů

BEDNÁŘ, J.

Český název

Fuzzy metriky na prostoru fuzzy bodů

Anglický název

Fuzzy Metrics in Space of Fuzzy Points

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

en

Originální abstrakt

The main purpose of this paper is to conceive fuzzy metric spaces as generalisation of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a normal fuzzy set in set of non-negative real numbers on the basis of Zadeh’s extension principle. Properties of these fuzzy distances as a suitable partial ordering or a triangle inequality we have formulated in several theorems and illustrated by examples. We have shown that, by fuzzifying a contractive mapping, we will obtain a fuzzy contractive mapping.

Český abstrakt

The main purpose of this paper is to conceive fuzzy metric spaces as generalisation of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a normal fuzzy set in set of non-negative real numbers on the basis of Zadeh’s extension principle. Properties of these fuzzy distances as a suitable partial ordering or a triangle inequality we have formulated in several theorems and illustrated by examples. We have shown that, by fuzzifying a contractive mapping, we will obtain a fuzzy contractive mapping.

Anglický abstrakt

The main purpose of this paper is to conceive fuzzy metric spaces as generalisation of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a normal fuzzy set in set of non-negative real numbers on the basis of Zadeh’s extension principle. Properties of these fuzzy distances as a suitable partial ordering or a triangle inequality we have formulated in several theorems and illustrated by examples. We have shown that, by fuzzifying a contractive mapping, we will obtain a fuzzy contractive mapping.

Klíčová slova anglicky

fuzzy metric, fuzzy distance, fuzzy metric space, fuzzy contraction

Rok RIV

2004

Vydáno

12.08.2004

Nakladatel

HS Zittau/Gorlitz

Místo

Zittau, Germany

ISBN

3-98080889-5-5

Kniha

Proceedings of East West Fuzzy Colloquium 2004

Počet stran

6

BIBTEX


@inproceedings{BUT17455,
  author="Josef {Bednář},
  title="Fuzzy Metrics in Space of Fuzzy Points",
  booktitle="Proceedings of East West Fuzzy Colloquium 2004",
  year="2004",
  month="August",
  publisher="HS Zittau/Gorlitz",
  address="Zittau, Germany",
  isbn="3-98080889-5-5"
}