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"
}