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.
Mots clés : 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://www.numdam.org/articles/10.1051/ro/2013056/} }
TY - JOUR AU - Veeramani, Chinnadurai AU - Sumathi, Muthukumar TI - Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2014 SP - 109 EP - 122 VL - 48 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2013056/ DO - 10.1051/ro/2013056 LA - en ID - RO_2014__48_1_109_0 ER -
%0 Journal Article %A Veeramani, Chinnadurai %A Sumathi, Muthukumar %T Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem %J RAIRO - Operations Research - Recherche Opérationnelle %D 2014 %P 109-122 %V 48 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2013056/ %R 10.1051/ro/2013056 %G en %F RO_2014__48_1_109_0
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. http://www.numdam.org/articles/10.1051/ro/2013056/
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