Publication detail

Properties of Fuzzy Metrics on Rn

BEDNÁŘ, J.

English title

Properties of Fuzzy Metrics on Rn

Type

conference paper

Language

en

Original abstract

We define the distance between two fuzzy points in a fuzzy metric space as a fuzzy set in set of non-negative real numbers on the basis of Zadeh’s extension principle. We introduce fuzzification of some basic metric on Rn and properties of these fuzzy metrics as a suitable partial ordering or a triangle inequality are studied.

English abstract

We define the distance between two fuzzy points in a fuzzy metric space as a fuzzy set in set of non-negative real numbers on the basis of Zadeh’s extension principle. We introduce fuzzification of some basic metric on Rn and properties of these fuzzy metrics as a suitable partial ordering or a triangle inequality are studied.

Keywords in English

fuzzy metric, fuzzy distance, fuzzy metric space

RIV year

2002

Released

04.09.2002

Publisher

HOCHSCHULE Zittau/Gorlitz

Location

Zittau

ISBN

3-9808089-2-0

Book

Proceedings of the East West Fuzzy Colloquium 2002 and 10th Zittau Fuzzy Colloquium

Pages count

5

BIBTEX


@inproceedings{BUT10065,
  author="Josef {Bednář},
  title="Properties of Fuzzy Metrics on Rn",
  booktitle="Proceedings of the East West Fuzzy Colloquium 2002 and 10th Zittau Fuzzy Colloquium",
  year="2002",
  month="September",
  publisher="HOCHSCHULE Zittau/Gorlitz",
  address="Zittau",
  isbn="3-9808089-2-0"
}