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.
Accepté le :
DOI : 10.1051/ro/2016022
Mots clés : Fully fuzzy linear programming, linear fractional programming, linear programming, multi-objective linear programming, triangular fuzzy number
@article{RO_2017__51_1_285_0, 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}, mrnumber = {3605905}, zbl = {1358.90166}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2016022/} }
TY - JOUR AU - Das, Sapan Kumar AU - Mandal, Tarni AU - Edalatpanah, S. A. TI - A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 285 EP - 297 VL - 51 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2016022/ DO - 10.1051/ro/2016022 LA - en ID - RO_2017__51_1_285_0 ER -
%0 Journal Article %A Das, Sapan Kumar %A Mandal, Tarni %A Edalatpanah, S. A. %T A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 285-297 %V 51 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2016022/ %R 10.1051/ro/2016022 %G en %F RO_2017__51_1_285_0
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. http://www.numdam.org/articles/10.1051/ro/2016022/
Evolutionary algorithm solution to fuzzy problems: fuzzy linear programming. Fuzzy Sets Syst. 109 (2000) 35–53. | DOI | MR | Zbl
and ,Fuzzy mathematical programming for multi objective linear fractional programming problem. Fuzzy Sets Syst. 125 (2002) 335–342. | DOI | MR | Zbl
and ,Programming with linear fractional functionals. Nav. Res. Logist. Q. 9 (1962) 181–186. | DOI | MR | Zbl
and ,Multiple objective linear fractional programming- A fuzzy set theoretic approach. Fuzzy Sets Syst. 52 (1992) 39–45. | DOI | MR | Zbl
, and ,A new algorithm to solve fully fuzzy linear programming problems using MOLP problem. Appl. Math. Model. 39 (2015) 3183–3193. | DOI | MR | Zbl
, and ,A method of solving fully fuzzified linear fractional programming problems. J. Appl. Math. Comput. 27 (2008) 227–242. | DOI | MR | Zbl
and ,An interactive fuzzy satisficing method for multiobjective linear fractional programming problems. Fuzzy Sets Syst. 28 (1988) 129–144. | DOI | MR | Zbl
and ,Pareto optimality for multiobjective linear fractional programming problems with fuzzy parameters. Inf. Sci. 63 (1992) 33–53. | DOI | MR | Zbl
, and ,On a fuzzy set approach to solving multiple objective linear fractional programming problem. Fuzzy Sets Syst. 134 (2003) 397–405. | DOI | MR | Zbl
and ,On solving fuzzified linear fractional programs. Adv. Model. Optim. 11 (2009) 503–523. | MR
and ,Evaluating fuzzy inequalities and solving fully fuzzified linear fractional programs. Yugoslav J. Oper. Res. 1 (2012) 41–50. | DOI | MR | Zbl
and ,Taylor series approach to fuzzy multi objective linear fractional programming. Inf. Sci. 178 (2008) 1189–1204. | DOI | MR | Zbl
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