About: Defuzzification Using Steiner Points

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 characterized 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 characterization 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 characterized 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 characterization of what we call Steiner points of fuzzy sets. (en)
Title	Defuzzification Using Steiner Points Defuzzification Using Steiner Points (en)
skos:prefLabel	Defuzzification Using Steiner Points Defuzzification Using Steiner Points (en)
skos:notation	RIV/68407700:21230/05:00114026!RIV10-MSM-21230___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770012)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Navara, Mirko
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	517126
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/05:00114026
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Steiner point; center of gravity; computer vision; convex fuzzy set; convex set; defuzzification; medical imaging (en)
http://linked.open.../riv/klicoveSlovo	Steiner point computer vision defuzzification medical imaging center of gravity convex fuzzy set convex set
http://linked.open...ontrolniKodProRIV	[E3155566B18B]
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2005
http://linked.open...iv/tvurceVysledku	Navara, Mirko
http://linked.open...n/vavai/riv/zamer	Transdisciplinární výzkum v oblasti biomedicínského inženýrství II
http://localhost/t...ganizacniJednotka	21230

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