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Description
  • Není k dispozici (cs)
  • A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the ``centre'' of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each convex subset its Steiner point is characterised by three properties; here, we study functions whose domains consist of fuzzy sets and which fulfil analogous properties. Although uniqueness can no longer be achieved, we give a complete characterisation of what we call Steiner points of fuzzy sets.
  • A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the ``centre'' of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each convex subset its Steiner point is characterised by three properties; here, we study functions whose domains consist of fuzzy sets and which fulfil analogous properties. Although uniqueness can no longer be achieved, we give a complete characterisation of what we call Steiner points of fuzzy sets. (en)
Title
  • Defuzzification using Steiner points
  • Není k dispozici (cs)
  • Defuzzification using Steiner points (en)
skos:prefLabel
  • Defuzzification using Steiner points
  • Není k dispozici (cs)
  • Defuzzification using Steiner points (en)
skos:notation
  • RIV/68407700:21230/06:03124670!RIV07-MSM-21230___
http://linked.open.../vavai/riv/strany
  • 1455;1462
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6840770012)
http://linked.open...iv/cisloPeriodika
  • 11
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
  • 470651
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/06:03124670
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Steiner point; computer vision; defuzzification; fuzzy set; medical imaging; support function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [771DE2DC0371]
http://linked.open...i/riv/nazevZdroje
  • Fuzzy Sets and Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 157
http://linked.open...iv/tvurceVysledku
  • Navara, Mirko
  • Vetterlein, T.
http://linked.open...n/vavai/riv/zamer
issn
  • 0165-0114
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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