A multiobjective approach for solving fully fuzzy linear fractional programming problems with trapezoidal fuzzy numbers

Fractional programming problems is one of the efficient and common tools in many problems of real worlds, because optimizing the ratio of the purposes creates better vision than optimizing any of proposes, separately. But, as the values observed in the real world are inaccurate and ambiguous due to incomplete or inaccessible information, in this paper fuzzy numbers are used and a fuzzy linear fractional programming problem is created. In this paper, a new method for solving fully fuzzy linear fractional programming problems with trapezoidal fuzzy numbers and inequality constraints is proposed. In this method, the fuzzy problem is transformed to a multi-objective linear programming problem and then using lexicographical order the optimal solution is obtained. Finally, using some examples, the presented method is implemented practically and compared with other methods. Also, desirability of the new approach in terms of simplicity of operations and accuracy of the results is measured. p