A Proposed Method for Solving Fuzzy System of Linear Equations
This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m×n linear system are derived and also a practical algorithm is introduced in detai...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/782093 |
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| _version_ | 1832546612100988928 |
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| author | Reza Kargar Tofigh Allahviranloo Mohsen Rostami-Malkhalifeh Gholam Reza Jahanshaloo |
| author_facet | Reza Kargar Tofigh Allahviranloo Mohsen Rostami-Malkhalifeh Gholam Reza Jahanshaloo |
| author_sort | Reza Kargar |
| collection | DOAJ |
| description | This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m×n linear system are derived and also a practical algorithm is introduced in detail. The method is based on linear programming problem. Finally the applicability of the proposed method is illustrated by some numerical examples. |
| format | Article |
| id | doaj-art-90c245fa1af344bab25a576a9741ee30 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-90c245fa1af344bab25a576a9741ee302025-02-03T06:47:54ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/782093782093A Proposed Method for Solving Fuzzy System of Linear EquationsReza Kargar0Tofigh Allahviranloo1Mohsen Rostami-Malkhalifeh2Gholam Reza Jahanshaloo3Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 18558-17556, IranThis paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. Some conditions for the existence of a fuzzy or interval solution of m×n linear system are derived and also a practical algorithm is introduced in detail. The method is based on linear programming problem. Finally the applicability of the proposed method is illustrated by some numerical examples.http://dx.doi.org/10.1155/2014/782093 |
| spellingShingle | Reza Kargar Tofigh Allahviranloo Mohsen Rostami-Malkhalifeh Gholam Reza Jahanshaloo A Proposed Method for Solving Fuzzy System of Linear Equations The Scientific World Journal |
| title | A Proposed Method for Solving Fuzzy System of Linear Equations |
| title_full | A Proposed Method for Solving Fuzzy System of Linear Equations |
| title_fullStr | A Proposed Method for Solving Fuzzy System of Linear Equations |
| title_full_unstemmed | A Proposed Method for Solving Fuzzy System of Linear Equations |
| title_short | A Proposed Method for Solving Fuzzy System of Linear Equations |
| title_sort | proposed method for solving fuzzy system of linear equations |
| url | http://dx.doi.org/10.1155/2014/782093 |
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