Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization
In this paper, a new scheme is proposed to find the fuzzy interpolation polynomial. In this case, the nodes are crisp data and the values are fuzzy numbers. In order to obtain the interpolation polynomial, a linear system is solved with crisp coefficients matrix and fuzzy right hand side. Then, the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2014-12-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865815000035 |
| _version_ | 1797706598839222272 |
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| author | M.A. Fariborzi Araghi A. Fallahzadeh |
| author_facet | M.A. Fariborzi Araghi A. Fallahzadeh |
| author_sort | M.A. Fariborzi Araghi |
| collection | DOAJ |
| description | In this paper, a new scheme is proposed to find the fuzzy interpolation polynomial. In this case, the nodes are crisp data and the values are fuzzy numbers. In order to obtain the interpolation polynomial, a linear system is solved with crisp coefficients matrix and fuzzy right hand side. Then, the inherited lower-upper (LU) triangular factorization and inherited interpolation are applied to solve this system. The examples illustrate the applicability, simplicity and efficiency of the proposed method. |
| first_indexed | 2024-03-12T05:54:41Z |
| format | Article |
| id | doaj.art-a551b56127eb450e8c48745021f8cc53 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T05:54:41Z |
| publishDate | 2014-12-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-a551b56127eb450e8c48745021f8cc532023-09-03T04:48:07ZengTsinghua University PressFuzzy Information and Engineering1616-86582014-12-016442743410.1016/j.fiae.2015.01.002Inherited Fuzzy Interpolation Based on the Inherited Lower-upper FactorizationM.A. Fariborzi AraghiA. FallahzadehIn this paper, a new scheme is proposed to find the fuzzy interpolation polynomial. In this case, the nodes are crisp data and the values are fuzzy numbers. In order to obtain the interpolation polynomial, a linear system is solved with crisp coefficients matrix and fuzzy right hand side. Then, the inherited lower-upper (LU) triangular factorization and inherited interpolation are applied to solve this system. The examples illustrate the applicability, simplicity and efficiency of the proposed method.http://www.sciencedirect.com/science/article/pii/S1616865815000035Inherited interpolationInherited LU factorizationFuzzy linear systemFuzzy interpolationFuzzy number |
| spellingShingle | M.A. Fariborzi Araghi A. Fallahzadeh Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization Fuzzy Information and Engineering Inherited interpolation Inherited LU factorization Fuzzy linear system Fuzzy interpolation Fuzzy number |
| title | Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization |
| title_full | Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization |
| title_fullStr | Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization |
| title_full_unstemmed | Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization |
| title_short | Inherited Fuzzy Interpolation Based on the Inherited Lower-upper Factorization |
| title_sort | inherited fuzzy interpolation based on the inherited lower upper factorization |
| topic | Inherited interpolation Inherited LU factorization Fuzzy linear system Fuzzy interpolation Fuzzy number |
| url | http://www.sciencedirect.com/science/article/pii/S1616865815000035 |
| work_keys_str_mv | AT mafariborziaraghi inheritedfuzzyinterpolationbasedontheinheritedlowerupperfactorization AT afallahzadeh inheritedfuzzyinterpolationbasedontheinheritedlowerupperfactorization |