In this paper investigates the multi objective linear fractional transportation MOLFT problem where the cost coefficients are represented by fuzzy rough parameters. We present an algorithm for solving a fuzzy rough multi objective linear fractional transportation (FRMOLFT) problem. The FRMOLFT problem reduced to Multi ob-jective linear fractional transportation (MOLFT) problem based on the ranking func-tion for all fuzzy rough parameters. The Dinkelbach,s and weighting method is used for solving MOLFT problem. The algorithm is explained in detail with an example.