A New Approach for Solving Fully Fuzzy Linear Systems
Several authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear system with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2011/943161 |
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| _version_ | 1832562548821458944 |
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| author | Amit Kumar Neetu Abhinav Bansal |
| author_facet | Amit Kumar Neetu Abhinav Bansal |
| author_sort | Amit Kumar |
| collection | DOAJ |
| description | Several authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear system with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables are nonnegative fuzzy numbers. In this paper a new method is proposed to solve an FFLS with arbitrary coefficients and arbitrary solution vector, that is, there is no restriction on the elements that have been used in the FFLS. The primary objective of this paper is thus to introduce the concept and a computational method for solving FFLS with no non negative constraint on the parameters. The method incorporates the principles of linear programming in solving an FFLS with arbitrary coefficients and is not only easier to understand but also widens the scope of fuzzy linear equations in scientific applications. To show the advantages of the proposed method over existing methods we solve three FFLSs. |
| format | Article |
| id | doaj-art-9fef03d64d944096870cd6364d833318 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-9fef03d64d944096870cd6364d8333182025-02-03T01:22:20ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2011-01-01201110.1155/2011/943161943161A New Approach for Solving Fully Fuzzy Linear SystemsAmit Kumar0Neetu1Abhinav Bansal2School of Mathematics and Computer Applications, Thapar University, Patiala 147004, IndiaSchool of Mathematics and Computer Applications, Thapar University, Patiala 147004, IndiaComputer Science and Engineering Department, Thapar University, Patiala 147004, IndiaSeveral authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear system with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables are nonnegative fuzzy numbers. In this paper a new method is proposed to solve an FFLS with arbitrary coefficients and arbitrary solution vector, that is, there is no restriction on the elements that have been used in the FFLS. The primary objective of this paper is thus to introduce the concept and a computational method for solving FFLS with no non negative constraint on the parameters. The method incorporates the principles of linear programming in solving an FFLS with arbitrary coefficients and is not only easier to understand but also widens the scope of fuzzy linear equations in scientific applications. To show the advantages of the proposed method over existing methods we solve three FFLSs.http://dx.doi.org/10.1155/2011/943161 |
| spellingShingle | Amit Kumar Neetu Abhinav Bansal A New Approach for Solving Fully Fuzzy Linear Systems Advances in Fuzzy Systems |
| title | A New Approach for Solving Fully Fuzzy Linear Systems |
| title_full | A New Approach for Solving Fully Fuzzy Linear Systems |
| title_fullStr | A New Approach for Solving Fully Fuzzy Linear Systems |
| title_full_unstemmed | A New Approach for Solving Fully Fuzzy Linear Systems |
| title_short | A New Approach for Solving Fully Fuzzy Linear Systems |
| title_sort | new approach for solving fully fuzzy linear systems |
| url | http://dx.doi.org/10.1155/2011/943161 |
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