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 http://www.bth.se/ihn/ |
| Authors e-mail: | Elisabeth.Andersson@bth.se |
| 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 |
