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The Dubois-Prade Norms as the Operations on Fuzzy Numbers in Lagrange Interpolation Polynomial
Responsible organisation
2003 (English)Conference paper, (Refereed) PublishedAlternative title
Dubois-Prade normer som operationer på oskarpa tal i ett Lagrangepolynom (Swedish)
Abstract [en]

Some medical and technical experiments lead to measures regarded as the coordinates of points in the plane. We can encounter vague or imprecise data as the values of the measurements. Even if the classical numerical methods cannot be applied to fuzzy data it is still desirable to find a function that interpolates the points. We thus test the Lagrange interpolation method when assuming that the entries of an algorithm will be fuzzy numbers in L-R representation, specially designed. The equation describing the fuzzy function, which goes through the points, is also used as a prognosis in the case of other points that have only one coordinate known.

Abstract [sv]

I vissa tekniska eller medicinska experiment är data erhållna som vaga mått. Om vi betraktar dessa oskarpa värden som först verbala uttryck, t ex. ”nära fyra” eller ”nästan fyra”, där beskrivningar kommer från en programmerad lista, kan vi efteråt finna deras representation som oskarpa nummer i L-Rform. På dessa nummer testas Dubois-Pradeoperationer i en algoritm av Lagrange polynom, som leder till en fuzzy-funktion. Denna funktion interpolerar punkterna med oskarpa koordinater.

Place, publisher, year, edition, pages
Istanbul, Turkey: Bogaziai University Library Cataloging-in-Publication.Data (Okyay Kaynak) , 2003.
Keyword [en]
Fuzzy numbers, Dubois-Prade norms, Lagrange interpolating polynomial
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-9764Local ID: oai:bth.se:forskinfo957E1F7E71DFD147C1256E2900636581ISBN: 975-518-208-X (print)OAI: oai:DiVA.org:bth-9764DiVA: diva2:837698
Conference
IFSA World Congress 2003
Available from: 2012-09-18 Created: 2004-01-28 Last updated: 2016-09-20Bibliographically approved

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Rakus-Andersson, Elisabeth
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf