Fuzzy metrics in space of fuzzy numbers

Kód výsledku v 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>
Výsledek na webu
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Jazyk výsledku
angličtina
Název v původním jazyce
Fuzzy metrics in space of fuzzy numbers
Popis výsledku v původním jazyce
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
Název v anglickém jazyce
Fuzzy metrics in space of fuzzy numbers
Popis výsledku anglicky
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

Rok uplatnění
2004
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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