Fuzzy Metrics in Space of Fuzzy Points

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F04%3APU47618" target="_blank" >RIV/00216305:26210/04:PU47618 - 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
Fuzzy Metrics in Space of Fuzzy Points
Original language description
The main purpose of this paper is to conceive fuzzy metric spaces as generalisation 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 obtainn a fuzzy contractive mapping.
Czech name
Fuzzy metriky na prostoru fuzzy bodů
Czech description
The main purpose of this paper is to conceive fuzzy metric spaces as generalisation 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 obtainn a fuzzy contractive mapping.

Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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