Detail publikace

Fuzzy Metrics in Space of Fuzzy Points

BEDNÁŘ, J.

Anglický název

Fuzzy Metrics in Space of Fuzzy Points

Typ

Stať ve sborníku v databázi WoS či 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.

Vydáno

2004-08-12

Nakladatel

HS Zittau/Gorlitz

Místo

Zittau, Germany

ISBN

3-98080889-5-5

Kniha

Proceedings of East West Fuzzy Colloquium 2004

Strany od–do

91–

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",
  pages="6",
  publisher="HS Zittau/Gorlitz",
  address="Zittau, Germany",
  isbn="3-98080889-5-5"
}