S. Kumar-Das - Department of Mathematics, National Institute of Technology, Jamshedpur, India.

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.

trapezoidal fuzzy number, ranking function, linear fractional programming problem, Fuzzy Numbers