Publication detail

Fuzzy distances

BEDNÁŘ, J.

Czech title

Fuzzy vzdálenosti

English title

Fuzzy distances

Type

journal article in Web of Science

Language

en

Original abstract

In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh's extension principle, particularly to Rn are dealt with in detail.

Czech abstract

V článku jsou uvedeny tři odlišné způsoby konstrukce vzdálenosti mezi vágně popsanými objekty: zobecnění klasické vzdálenosti mezi podmnožinami metrického prostoru, vzdálenost mezi funkcemi příslušnosti fuzzy množin a zavedení fuzzy metriky zobecněním metrického prostoru na prostor fuzzy metrický. Podrobně se zabýváme fuzzy metrickými prostory, které jsme definovali pomocí Zadehova principu rozšíření, zvláště na Rn.

English abstract

In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh's extension principle, particularly to Rn are dealt with in detail.

Keywords in English

fuzzy metric, fuzzy metric space, fuzzy contraction

RIV year

2005

Released

01.01.2005

ISSN

0023-5954

Volume

41

Number

3

Pages from–to

375–389

Pages count

14

BIBTEX


@article{BUT46114,
  author="Josef {Bednář},
  title="Fuzzy distances",
  year="2005",
  volume="41",
  number="3",
  month="January",
  pages="375--389",
  issn="0023-5954"
}