General Solutions of Fully Fuzzy Linear Systems
We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/593274 |
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| author | T. Allahviranloo S. Salahshour M. Homayoun-nejad D. Baleanu |
| author_facet | T. Allahviranloo S. Salahshour M. Homayoun-nejad D. Baleanu |
| author_sort | T. Allahviranloo |
| collection | DOAJ |
| description | We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method. |
| format | Article |
| id | doaj-art-5b3442d8ccf8494f9dd28b10b5916f90 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5b3442d8ccf8494f9dd28b10b5916f902025-08-20T02:05:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/593274593274General Solutions of Fully Fuzzy Linear SystemsT. Allahviranloo0S. Salahshour1M. Homayoun-nejad2D. Baleanu3Department of Electronic and Communications, Faculty of Engineering, Izmir University, Izmir, TurkeyYoung Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, IranDepartment of Electronic and Communications, Faculty of Engineering, Izmir University, Izmir, TurkeyDepartment of Mathematics and Computer Science, Cankaya University, 06530 Ankara, TurkeyWe propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.http://dx.doi.org/10.1155/2013/593274 |
| spellingShingle | T. Allahviranloo S. Salahshour M. Homayoun-nejad D. Baleanu General Solutions of Fully Fuzzy Linear Systems Abstract and Applied Analysis |
| title | General Solutions of Fully Fuzzy Linear Systems |
| title_full | General Solutions of Fully Fuzzy Linear Systems |
| title_fullStr | General Solutions of Fully Fuzzy Linear Systems |
| title_full_unstemmed | General Solutions of Fully Fuzzy Linear Systems |
| title_short | General Solutions of Fully Fuzzy Linear Systems |
| title_sort | general solutions of fully fuzzy linear systems |
| url | http://dx.doi.org/10.1155/2013/593274 |
| work_keys_str_mv | AT tallahviranloo generalsolutionsoffullyfuzzylinearsystems AT ssalahshour generalsolutionsoffullyfuzzylinearsystems AT mhomayounnejad generalsolutionsoffullyfuzzylinearsystems AT dbaleanu generalsolutionsoffullyfuzzylinearsystems |