Publication detail

Fuzzy Metric Spaces

BEDNÁŘ, J.

English title

Fuzzy Metric Spaces

Type

Paper in proceedings (conference paper)

Language

en

Original abstract

In this paper, we define a fuzzy metric space by means of Zadeh's extension principle. We formulate significant properties of this fuzzy metric space such as symmetry, positive semi-definity and the triangle inequality in several theorems and illustrate them by examples. We show that, by fuzzifying a contractive mapping, we obtain a fuzzy contractive mapping.

Keywords in English

fuzzy metrics, fuzzy distance, fuzzy contractive mapping, fuzzy metric space

Released

2008-06-18

Publisher

BUT

Location

Brno

ISBN

978-80-214-3675-6

Book

Mendel 2008

Pages from–to

121–124

Pages count

4

BIBTEX


@inproceedings{BUT30395,
  author="Josef {Bednář}",
  title="Fuzzy Metric Spaces",
  booktitle="Mendel 2008",
  year="2008",
  pages="121--124",
  publisher="BUT",
  address="Brno",
  isbn="978-80-214-3675-6"
}