Geodesic
A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming
Das, Sapan Kumar1 ; Mandal, Tarni1 ; Edalatpanah, S. A.2
1 Department of Mathematics, National Institute of Technology Jamshedpur, 831014 Jamshedpur India.
2 Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 285-297

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This paper deals with developing an efficient algorithm for solving the fully fuzzy linear fractional programming problem. To this end, we construct a new method which is obtained from combination of Charnes−Cooper scheme and the multi-objective linear programming problem. Furthermore, the application of the proposed method in real life problems is presented and this method is compared with some existing methods. The numerical experiments and comparative results presented promising results to find the fuzzy optimal solution.

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Accepté le :
DOI : 10.1051/ro/2016022
Classification : 90C70, 90C90, 90C05, 90C08
Keywords: Fully fuzzy linear programming, linear fractional programming, linear programming, multi-objective linear programming, triangular fuzzy number

Das, Sapan Kumar 1 ; Mandal, Tarni 1 ; Edalatpanah, S. A. 2

1 Department of Mathematics, National Institute of Technology Jamshedpur, 831014 Jamshedpur India.
2 Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran. 
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     author = {Das, Sapan Kumar and Mandal, Tarni and Edalatpanah, S. A.},
     title = {A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {285--297},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {1},
     year = {2017},
     doi = {10.1051/ro/2016022},
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     zbl = {1358.90166},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2016022/}
}
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Das, Sapan Kumar; Mandal, Tarni; Edalatpanah, S. A. A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 285-297. doi: 10.1051/ro/2016022

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