A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters

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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Main Authors: H. Saberi Najafi, S.A. Edalatpanah, H. Dutta
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Alexandria Engineering Journal
Subjects:
Fully fuzzy linear programming
Crisp nonlinear programming
Fuzzy arithmetic
Fuzzy optimal solution
Triangular fuzzy numbers
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016816300953
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spelling doaj-9a2da723336f417c965db6612d7f53c42021-06-02T03:02:14ZengElsevierAlexandria Engineering Journal1110-01682016-09-015532589259510.1016/j.aej.2016.04.039A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parametersH. Saberi Najafi0S.A. Edalatpanah1H. Dutta2Department of Mathematics, Faculty of Sciences, University of Guilan, University Campus 2, Rasht, IranDepartment of Mathematics, Faculty of Sciences, University of Guilan, University Campus 2, Rasht, IranDepartment of Mathematics, Gauhati University, Guwahati 781014, IndiaSeveral 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.http://www.sciencedirect.com/science/article/pii/S1110016816300953Fully fuzzy linear programmingCrisp nonlinear programmingFuzzy arithmeticFuzzy optimal solutionTriangular fuzzy numbers
collection DOAJ
language English
format Article
sources DOAJ
author H. Saberi Najafi
S.A. Edalatpanah
H. Dutta
spellingShingle H. Saberi Najafi
S.A. Edalatpanah
H. Dutta
A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
Alexandria Engineering Journal
Fully fuzzy linear programming
Crisp nonlinear programming
Fuzzy arithmetic
Fuzzy optimal solution
Triangular fuzzy numbers
author_facet H. Saberi Najafi
S.A. Edalatpanah
H. Dutta
author_sort H. Saberi Najafi
title A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
title_short A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
title_full A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
title_fullStr A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
title_full_unstemmed A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
title_sort nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2016-09-01
description 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.
topic Fully fuzzy linear programming
Crisp nonlinear programming
Fuzzy arithmetic
Fuzzy optimal solution
Triangular fuzzy numbers
url http://www.sciencedirect.com/science/article/pii/S1110016816300953
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AT saedalatpanah anonlinearmodelforfullyfuzzylinearprogrammingwithfullyunrestrictedvariablesandparameters
AT hdutta anonlinearmodelforfullyfuzzylinearprogrammingwithfullyunrestrictedvariablesandparameters
AT hsaberinajafi nonlinearmodelforfullyfuzzylinearprogrammingwithfullyunrestrictedvariablesandparameters
AT saedalatpanah nonlinearmodelforfullyfuzzylinearprogrammingwithfullyunrestrictedvariablesandparameters
AT hdutta nonlinearmodelforfullyfuzzylinearprogrammingwithfullyunrestrictedvariablesandparameters
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