Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F03%3APU41978" target="_blank" >RIV/00216305:26210/03:PU41978 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Different Conceptions of Distance between Fuzzy Sets and Fuzzy Metric

Original language description

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, sothe 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 aa universe. These two different conceptions of a distance have some common properties, which are described in this paper.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2003

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

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

ISBN

80-214-2411-7

ISSN

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e-ISSN

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Number of pages

4

Pages from-to

228-231

Publisher name

VUT v Brně

Place of publication

Brno

Event location

Brno

Event date

Jun 4, 2003

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

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