Fuzzy metrics in space of fuzzy numbers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F04%3A00009752" target="_blank" >RIV/61989100:27510/04:00009752 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Fuzzy metrics in space of fuzzy numbers
Original language description
The main purpose of this paper is to conceive fuzzy metric spaces as generalization of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a normal fuzzy set in set of non-negative real numbers on the basis of Zadeh's extension principle. Properties of these fuzzy distances as a suitable partial ordering or a triangle inequality we have formulated in several theorems and illustrated by examples. We have shown that, by fuzzifying a contractive mapping, we will obtaina fuzzy contractive mapping
Czech name
Fuzzy metrics in space of fuzzy numbers
Czech description
Příspěvek pohlíží na prostor fuzzy metrik jako na zobecnění metrických prostorů. Definuje vzdálenost mezi dvěma fuzzy body ve fuzzi metrickém prostoru jako normovanou fuzzy množinu nezáporných reálných čísel na bázi Zadehovských vzdáleností.
Classification
Type
C - Chapter in a specialist book
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Documentos de Trabajo
ISBN
84-95723-28-X
Number of pages of the result
7
Pages from-to
1-17
Number of pages of the book
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Publisher name
Universidad de Córdoba
Place of publication
Córdoba
UT code for WoS chapter
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