Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data
A numerical method along with explicit construction to interpolation of fuzzy data through the extension principle results by widely used fuzzy-valued piecewise Hermite polynomial in general case based on the cardinal basis functions, which satisfy a vanishing property on the successive intervals, h...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2016/8127215 |
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| author | H. Vosoughi S. Abbasbandy |
| author_facet | H. Vosoughi S. Abbasbandy |
| author_sort | H. Vosoughi |
| collection | DOAJ |
| description | A numerical method along with explicit construction to interpolation of fuzzy data through the extension principle results by widely used fuzzy-valued piecewise Hermite polynomial in general case based on the cardinal basis functions, which satisfy a vanishing property on the successive intervals, has been introduced here. We have provided a numerical method in full detail using the linear space notions for calculating the presented method. In order to illustrate the method in computational examples, we take recourse to three prime cases: linear, cubic, and quintic. |
| format | Article |
| id | doaj-art-c6d2277181ad40ea95161418e883f0cf |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-c6d2277181ad40ea95161418e883f0cf2025-02-03T05:44:07ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/81272158127215Cardinal Basis Piecewise Hermite Interpolation on Fuzzy DataH. Vosoughi0S. Abbasbandy1Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, IranDepartment of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, IranA numerical method along with explicit construction to interpolation of fuzzy data through the extension principle results by widely used fuzzy-valued piecewise Hermite polynomial in general case based on the cardinal basis functions, which satisfy a vanishing property on the successive intervals, has been introduced here. We have provided a numerical method in full detail using the linear space notions for calculating the presented method. In order to illustrate the method in computational examples, we take recourse to three prime cases: linear, cubic, and quintic.http://dx.doi.org/10.1155/2016/8127215 |
| spellingShingle | H. Vosoughi S. Abbasbandy Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data Advances in Fuzzy Systems |
| title | Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data |
| title_full | Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data |
| title_fullStr | Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data |
| title_full_unstemmed | Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data |
| title_short | Cardinal Basis Piecewise Hermite Interpolation on Fuzzy Data |
| title_sort | cardinal basis piecewise hermite interpolation on fuzzy data |
| url | http://dx.doi.org/10.1155/2016/8127215 |
| work_keys_str_mv | AT hvosoughi cardinalbasispiecewisehermiteinterpolationonfuzzydata AT sabbasbandy cardinalbasispiecewisehermiteinterpolationonfuzzydata |