The nearest symmetric fuzzy solution for a symmetric fuzzy linear system
In this paper, the nearest symmetric fuzzy solution for a symmetric L-L fuzzy linear system (S-L-FLS) is obtained by a new metric. To this end, the S-L-FLS is transformed to the non-linear programming problem (NLP). The solution of the obtained NLP is our favorite fuzzy number vector solution. Also,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2012-05-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0011-x |
| _version_ | 1819205155855269888 |
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| author | Allahviranloo T. Haghi E. Ghanbari M. |
| author_facet | Allahviranloo T. Haghi E. Ghanbari M. |
| author_sort | Allahviranloo T. |
| collection | DOAJ |
| description | In this paper, the nearest symmetric fuzzy solution for a symmetric L-L fuzzy linear system (S-L-FLS) is obtained by a new metric. To this end, the S-L-FLS is transformed to the non-linear programming problem (NLP). The solution of the obtained NLP is our favorite fuzzy number vector solution. Also, it is shown that if an S-L-FLS has unique fuzzy solution, then its solution is symmetric. Two constructive algorithms are presented in details and the method is illustrated by solving several numerical examples |
| first_indexed | 2024-12-23T04:47:13Z |
| format | Article |
| id | doaj.art-c9c3a62d672c410abef6391c04f436d1 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-23T04:47:13Z |
| publishDate | 2012-05-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-c9c3a62d672c410abef6391c04f436d12022-12-21T17:59:36ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-05-0120115117210.2478/v10309-012-0011-xThe nearest symmetric fuzzy solution for a symmetric fuzzy linear systemAllahviranloo T.0Haghi E.1Ghanbari M.2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranIn this paper, the nearest symmetric fuzzy solution for a symmetric L-L fuzzy linear system (S-L-FLS) is obtained by a new metric. To this end, the S-L-FLS is transformed to the non-linear programming problem (NLP). The solution of the obtained NLP is our favorite fuzzy number vector solution. Also, it is shown that if an S-L-FLS has unique fuzzy solution, then its solution is symmetric. Two constructive algorithms are presented in details and the method is illustrated by solving several numerical exampleshttps://doi.org/10.2478/v10309-012-0011-xsymmetric l - l fuzzy numbersymmetric l - l fuzzy linear systemnonlinear programming problemmodified euclidean distance |
| spellingShingle | Allahviranloo T. Haghi E. Ghanbari M. The nearest symmetric fuzzy solution for a symmetric fuzzy linear system Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica symmetric l - l fuzzy number symmetric l - l fuzzy linear system nonlinear programming problem modified euclidean distance |
| title | The nearest symmetric fuzzy solution for a symmetric fuzzy linear system |
| title_full | The nearest symmetric fuzzy solution for a symmetric fuzzy linear system |
| title_fullStr | The nearest symmetric fuzzy solution for a symmetric fuzzy linear system |
| title_full_unstemmed | The nearest symmetric fuzzy solution for a symmetric fuzzy linear system |
| title_short | The nearest symmetric fuzzy solution for a symmetric fuzzy linear system |
| title_sort | nearest symmetric fuzzy solution for a symmetric fuzzy linear system |
| topic | symmetric l - l fuzzy number symmetric l - l fuzzy linear system nonlinear programming problem modified euclidean distance |
| url | https://doi.org/10.2478/v10309-012-0011-x |
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