A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
Several methods currently exist for solving fuzzy linear programming problems under nonnegative fuzzy variables and restricted fuzzy coefficients. However, due to the limitation of these methods, they cannot be applied for solving fully fuzzy linear programming (FFLP) with unrestricted fuzzy coeffic...
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| Vydané v: | Alexandria engineering journal Ročník 55; číslo 3; s. 2589 - 2595 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
01.09.2016
Elsevier |
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| ISSN: | 1110-0168 |
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| Abstract | Several methods currently exist for solving fuzzy linear programming problems under nonnegative fuzzy variables and restricted fuzzy coefficients. However, due to the limitation of these methods, they cannot be applied for solving fully fuzzy linear programming (FFLP) with unrestricted fuzzy coefficients and fuzzy variables. In this paper a new efficient method for FFLP has been proposed, in order to obtain the fuzzy optimal solution with unrestricted variables and parameters. This proposed method is based on crisp nonlinear programming and has a simple structure. To show the efficiency of our proposed method some numerical examples have been illustrated. |
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| AbstractList | Several methods currently exist for solving fuzzy linear programming problems under nonnegative fuzzy variables and restricted fuzzy coefficients. However, due to the limitation of these methods, they cannot be applied for solving fully fuzzy linear programming (FFLP) with unrestricted fuzzy coefficients and fuzzy variables. In this paper a new efficient method for FFLP has been proposed, in order to obtain the fuzzy optimal solution with unrestricted variables and parameters. This proposed method is based on crisp nonlinear programming and has a simple structure. To show the efficiency of our proposed method some numerical examples have been illustrated. |
| Author | Edalatpanah, S.A. Dutta, H. Saberi Najafi, H. |
| Author_xml | – sequence: 1 givenname: H. surname: Saberi Najafi fullname: Saberi Najafi, H. email: hnajafi@guilan.ac.ir organization: Department of Mathematics, Faculty of Sciences, University of Guilan, University Campus 2, Rasht, Iran – sequence: 2 givenname: S.A. surname: Edalatpanah fullname: Edalatpanah, S.A. email: saedalatpanah@gmail.com organization: Department of Mathematics, Faculty of Sciences, University of Guilan, University Campus 2, Rasht, Iran – sequence: 3 givenname: H. surname: Dutta fullname: Dutta, H. email: hemen_dutta08@rediffmail.com organization: Department of Mathematics, Gauhati University, Guwahati 781014, India |
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| Keywords | Triangular fuzzy numbers Crisp nonlinear programming Fully fuzzy linear programming Fuzzy optimal solution Fuzzy arithmetic |
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