Detail publikačního výsledku

One of Possible Fuzzifications of Metric Spaces

BEDNÁŘ, J.

Originální název

One of Possible Fuzzifications of Metric Spaces

Anglický název

One of Possible Fuzzifications of Metric Spaces

Druh

Stať ve sborníku v databázi WoS či Scopus

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 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 are studied.

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 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 are studied.

Klíčová slova v angličtině

fuzzy sets, fuzzy metrics

Autoři

BEDNÁŘ, J.

Vydáno

05.06.2002

Nakladatel

VUT v Brně

Místo

Brno

ISBN

80-214-2135-5

Kniha

Proceedings of the 8th International Conference on Soft Computing MENDEL 2002

Strany od

298

Strany počet

4

BibTex

@inproceedings{BUT5207,
  author="Josef {Bednář}",
  title="One of Possible Fuzzifications of Metric Spaces",
  booktitle="Proceedings of the 8th International Conference on Soft Computing MENDEL 2002",
  year="2002",
  pages="4",
  publisher="VUT v Brně",
  address="Brno",
  isbn="80-214-2135-5"
}