Detail publikačního výsledku

Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

BEDNÁŘ, J.

Originální název

Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

Anglický název

Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

We discuss different conception of a distance between fuzzy sets and a distance between fuzzy numbers. The definition of the distance between fuzzy sets appropriately generalises the classical definition of distance between subsets of a metric space, so the distance between fuzzy sets is not a metric on family of all fuzzy subsets of a universe. The fuzzy metric (fuzzy distance between fuzzy numbers) is a generalisation of a metric, so it can be considered as a metric on family of all fuzzy numbers on a universe. These two different conceptions of a distance have some common properties, which are described in this paper.

Anglický abstrakt

We discuss different conception of a distance between fuzzy sets and a distance between fuzzy numbers. The definition of the distance between fuzzy sets appropriately generalises the classical definition of distance between subsets of a metric space, so the distance between fuzzy sets is not a metric on family of all fuzzy subsets of a universe. The fuzzy metric (fuzzy distance between fuzzy numbers) is a generalisation of a metric, so it can be considered as a metric on family of all fuzzy numbers on a universe. These two different conceptions of a distance have some common properties, which are described in this paper.

Klíčová slova v angličtině

fuzzy metric, fuzzy distance, fuzzy metric space, fuzzy number

Autoři

BEDNÁŘ, J.

Vydáno

04.06.2003

Nakladatel

VUT v Brně

Místo

Brno

ISBN

80-214-2411-7

Kniha

Proceedings of the 8th International Conference on Soft Computing MENDEL 2003

Strany od

228

Strany počet

4

BibTex

@inproceedings{BUT11086,
  author="Josef {Bednář}",
  title="Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric",
  booktitle="Proceedings of the 8th International Conference on Soft Computing MENDEL 2003",
  year="2003",
  pages="4",
  publisher="VUT v Brně",
  address="Brno",
  isbn="80-214-2411-7"
}