The solid transportation problem considers the supply, the demand and the conveyance to satisfy the transportation requirement in a cost effective manner. This paper develops a method to find the fuzzy optimal solution of unbalanced fuzzy solid transportation problems when the cost coefficients are crisp, the supply and demand quantities and conveyance capacities are fuzzy numbers. To illustrate the method, an unbalanced fuzzy solid transportation is solved by the method given by Kumar and Kaur [1] to get an optimum solution.

fuzzy unbalanced solid transportation problem, LR flat fuzzy number, optimal solution.