A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method
The fully fuzzy linear programming (FFLP) problem has many different applications in sciences and engineering, and various methods have been proposed for solving this problem. Recently, some scholars presented two new methods to solve FFLP. In this paper, by considering the L-R fuzzy numbers and the...
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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/10.1155/2016/1538496 |
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| author | A. Hosseinzadeh S. A. Edalatpanah |
| author_facet | A. Hosseinzadeh S. A. Edalatpanah |
| author_sort | A. Hosseinzadeh |
| collection | DOAJ |
| description | The fully fuzzy linear programming (FFLP) problem has many different applications in sciences and engineering, and various methods have been proposed for solving this problem. Recently, some scholars presented two new methods to solve FFLP. In this paper, by considering the L-R fuzzy numbers and the lexicography method in conjunction with crisp linear programming, we design a new model for solving FFLP. The proposed scheme presented promising results from the aspects of performance and computing efficiency. Moreover, comparison between the new model and two mentioned methods for the studied problem shows a remarkable agreement and reveals that the new model is more reliable in the point of view of optimality. |
| format | Article |
| id | doaj-art-6147cf3a2d8e41a180c856b6a4a2cc23 |
| 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-6147cf3a2d8e41a180c856b6a4a2cc232025-02-03T01:07:51ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/15384961538496A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography MethodA. Hosseinzadeh0S. A. Edalatpanah1Department of Mathematics, Imam Hossein Comprehensive University, Tehran, IranDepartment of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, IranThe fully fuzzy linear programming (FFLP) problem has many different applications in sciences and engineering, and various methods have been proposed for solving this problem. Recently, some scholars presented two new methods to solve FFLP. In this paper, by considering the L-R fuzzy numbers and the lexicography method in conjunction with crisp linear programming, we design a new model for solving FFLP. The proposed scheme presented promising results from the aspects of performance and computing efficiency. Moreover, comparison between the new model and two mentioned methods for the studied problem shows a remarkable agreement and reveals that the new model is more reliable in the point of view of optimality.http://dx.doi.org/10.1155/2016/1538496 |
| spellingShingle | A. Hosseinzadeh S. A. Edalatpanah A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method Advances in Fuzzy Systems |
| title | A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method |
| title_full | A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method |
| title_fullStr | A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method |
| title_full_unstemmed | A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method |
| title_short | A New Approach for Solving Fully Fuzzy Linear Programming by Using the Lexicography Method |
| title_sort | new approach for solving fully fuzzy linear programming by using the lexicography method |
| url | http://dx.doi.org/10.1155/2016/1538496 |
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