Sensitivity analysis for fuzzy linear programming problems with fuzzy variables
نویسندگان
چکیده
In this paper, we study how changes in the coefficients of objective function, the coefficients matrix and the right-hand-side vector of constraints of the fuzzy linear programming problems with the fuzzy order relation in the objective function and the constraints under ranking function affect the fuzzy optimal solution. We consider separate cases when changes occur in the data of the problem and derive bounds for parameter when the data are perturbed, while the fuzzy optimal solution is invariant. Finally, we obtain the optimal value function with fuzzy coefficients in each case and the results are described by some numerical examples. AMS: 90C70, 90C31 keywords: Trapezoidal fuzzy number, Ranking function, Sensitivity analysis, Optimal solution, Fuzzy linear programming.
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