The bi-criteria fixed charge transportation problem is an extension of the classicaltransportation problem. The bi-criteria fixed charge transportation problem in a crisp environmentis, often, not effective in dealing with imprecision or vagueness in the values of the problemparameters. To deal with such situations, it has been proposed that the parameters should berepresented as fuzzy numbers. Hence, bi-criteria fixed charge transportation problem in fuzzyenvironment is considered here. In existing approaches, the programming problems in fuzzy environmentare solved by converting them into crisp environment by choosing appropriate membershipfunctions and thus, the solutions are also crisp numbers. However, in this paper, a newalgorithm is proposed to solve the above said problem using a linear ranking function, withoutconverting it into crisp environment and the solutions derived are fuzzy numbers. The algorithmis suitably illustrated with a numerical example. Numerical results are compared for both fuzzyand crisp versions of the problem.