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  • 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.
  • 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. (en)
  • 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. (cs)
Title
  • Fuzzy Metrics in Space of Fuzzy Points
  • Fuzzy Metrics in Space of Fuzzy Points (en)
  • Fuzzy metriky na prostoru fuzzy bodů (cs)
skos:prefLabel
  • Fuzzy Metrics in Space of Fuzzy Points
  • Fuzzy Metrics in Space of Fuzzy Points (en)
  • Fuzzy metriky na prostoru fuzzy bodů (cs)
skos:notation
  • RIV/00216305:26210/04:PU47618!RIV/2005/MSM/262105/N
http://linked.open.../vavai/riv/strany
  • 91-96
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 261100009)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 565089
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26210/04:PU47618
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • fuzzy metric, fuzzy distance, fuzzy metric space, fuzzy contraction (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [3F0A328D2145]
http://linked.open...v/mistoKonaniAkce
  • Zittau
http://linked.open...i/riv/mistoVydani
  • Zittau, Germany
http://linked.open...i/riv/nazevZdroje
  • Proceedings of East West Fuzzy Colloquium 2004
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Bednář, Josef
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • HS Zittau/Gorlitz
https://schema.org/isbn
  • 3-9808089-5-5
http://localhost/t...ganizacniJednotka
  • 26210
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