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  • 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 obtain a fuzzy contractive mapping
  • 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 obtain a fuzzy contractive mapping (en)
  • 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. (cs)
Title
  • Fuzzy metrics in space of fuzzy numbers
  • Fuzzy metrics in space of fuzzy numbers (en)
  • Fuzzy metrics in space of fuzzy numbers (cs)
skos:prefLabel
  • Fuzzy metrics in space of fuzzy numbers
  • Fuzzy metrics in space of fuzzy numbers (en)
  • Fuzzy metrics in space of fuzzy numbers (cs)
skos:notation
  • RIV/61989100:27510/04:00009752!RIV/2005/MSM/275105/N
http://linked.open.../vavai/riv/strany
  • 1-17
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 275100015)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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  • 565088
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  • RIV/61989100:27510/04:00009752
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  • Fuzzy metric;fuzzy distance;fuzzy metric space;fuzzy contraction (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [902518DDEE42]
http://linked.open...i/riv/mistoVydani
  • Córdoba
http://linked.open...vEdiceCisloSvazku
  • 2
http://linked.open...i/riv/nazevZdroje
  • Documentos de Trabajo
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Ministr, Jan
  • Bednář, J.
  • Ráček, J.
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Universidad de Córdoba
https://schema.org/isbn
  • 84-95723-28-X
http://localhost/t...ganizacniJednotka
  • 27510
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