The Newton Interpolation Method with Fuzzy Numbers as the Entries

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Elisabeth Rakus-Andersson
Title: The Newton Interpolation Method with Fuzzy Numbers as the Entries
Translated title: Newton -Interpolationsmetoden med oskarpa tal som data
Conference name: Neural Networks and Soft Computing
Year: 2002
Pagination: 310-315
ISBN: 3-7908-0005-8
Publisher: Physica-verlag - a Springer-verlag Company
City: Zakopane, Poland
ISI number: 000182433900045
Organization: Blekinge Institute of Technology
Department: Department of Health, Science and Mathematics (Institutionen för hälso- och naturvetenskap)
Dept. of Health, Science and Mathematics S-371 79 Karlskrona
+46 455 38 50 00
Authors e-mail:
Language: English
Abstract: It is typical of some medical experiments, leading to measures regarded as the coordinates of points in the plane, that imprecise data can occur. In spite of it we still would like to derive a formula of the function that interpolates these points. We thus test the Newton interpolation method with divided differences when supposing that the entries will be fuzzy numbers in the L-R form. The equation describing the fuzzy function, which goes through the points, can be used as a prognosis in the case of other points that have only one coordinate known.
Summary in Swedish: Det är typiskt i vissa medicinska och tekniska experiment att oskarpa data kan förekomma. Om vi tolkar två otydliga mätningar som koordinater till punkter i ett plan, vill vi ändå härleda en formel av den funktion som interpolerar dessa punkter. Då testar vi Newtonmetoden med dividerade differenser vid antagandet att samlade data presenteras som oskarpa nummer i L-R formen. Den ekvation som beskriver en oskarp funktion passerande genom alla givna punkter kan användas som en prognos för andra punkter med endast en känd koordinat.
Subject: Mathematics\General
Keywords: Fuzzy numbers in L-R form, The verbal list of fuzzy numbers, The max-min operations on fuzzy numbers, The fuzzy Newton polynomial