Sensitivity analysis for fuzzy linear programming problems with fuzzy variables

In this paper, we study how changes in the coecients of objective function, the coecients 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 aect 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 coecients in each case and the results are described