Geodesic
Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 1, pp. 109-122

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In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linear programming (LP) problem. The proposed procedure illustrated through a numerical example.

DOI : 10.1051/ro/2013056
Classification : 90C31, 91A35, 94D05
Keywords: triangular fuzzy number, linear programming problem, multi objective linear fractional programming problem, fuzzy mathematical programming 
@article{RO_2014__48_1_109_0,
     author = {Veeramani, Chinnadurai and Sumathi, Muthukumar},
     title = {Fuzzy {Mathematical} {Programming} approach for {Solving} {Fuzzy} {Linear} {Fractional} {Programming} {Problem}},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {109--122},
     publisher = {EDP-Sciences},
     volume = {48},
     number = {1},
     year = {2014},
     doi = {10.1051/ro/2013056},
     mrnumber = {3177880},
     zbl = {1293.90071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2013056/}
}
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Veeramani, Chinnadurai; Sumathi, Muthukumar. Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 1, pp. 109-122. doi: 10.1051/ro/2013056

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