International Journal of Mathematical Research 2311-7427 2306-2223 10.18488/journal.24/2016.5.2/24.2.131.137 International Journal of Mathematical Research Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers International Journal of Mathematical Research International Journal of Mathematical Research 02-2016 2016 02-2016 02-2016 5 2 131 137 29 Jun 2016 20 Dec 2016 A fuzzy transportation problem (FTP) includes cost, supply and demand of transportation problems. Its numbers are fuzzy numbers. Fuzzy transportation problem works to reduce transportation cost of some commodities through a capacitate network. Present research paper points out a technique with an alpha cut, optimal solution for solving transportation problem. We suggest a technique to find the fuzzy optimal solution on scales of transportation problem and propose a new hexagonal representation of fuzzy numbers. In general, the comparison of balanced fuzzy transportation problem (BFTP) and unbalanced fuzzy transportation problem (UFTP) shows that the optimal transportation cost of UFTP is less than BFTP.