linear fractional programming problem

Because of uncertainty in the real life applications, reaching to the optimal solution is always time consuming and even sometimes impossible. In order to overcome these limitations the fuzzy set theory is introduced to handle it but not only incomplete information but also indeterminate and inconsistent information which is common in real life conditions. In this paper, we have developed a new ranking function to solve a Fully Fuzzy Linear Fractional Programming (FFLFP). The ranking function is derived by replacing the non-parallel sides of the trapezoidal fuzzy number with non-linear functions. Various numerical examples are included and compared with the pre-existing methods.

In this paper, we studied fuzzy linear fractional programming (FLFP) problems with trapezoidal fuzzy numbers where the objective functions are fuzzy numbers and the constraints are real numbers. In this study, in order to obtain the fuzzy optimal solution with unrestricted variables and parameters, a new efficient method for FLFP problem has been proposed. These proposed methods are based on crisp linear fractional programming and newly transformation technique is also used. A computational procedure has been presented to obtain an optimal solution. To show the efficiency of our proposed method a real life example has been illustrated.