Detail publikace

Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

BEDNÁŘ, J.

Anglický název

Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

Typ

Stať ve sborníku v databázi WoS či Scopus

Jazyk

en

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.

Vydáno

2003-06-04

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–do

228–

Počet stran

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"
}