Publication detail

One of Possible Fuzzifications of Metric Spaces

BEDNÁŘ, J.

English title

One of Possible Fuzzifications of Metric Spaces

Type

conference paper

Language

en

Original abstract

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.

English abstract

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.

Keywords in English

fuzzy sets, fuzzy metrics

RIV year

2002

Released

05.06.2002

Publisher

VUT v Brně

Location

Brno

ISBN

80-214-2135-5

Book

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

Pages count

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",
  month="June",
  publisher="VUT v Brně",
  address="Brno",
  isbn="80-214-2135-5"
}