This essay compares alternative approaches for determining the most effective approach to matching fuzzy transportation issues and details how to deal with situations that have transportation costs represented as triangular numbers, i.e. zero point, zero suffix, modified zero suffix method. Fuzzy costs are transformed in to crisp value using graded mean technique, and then we must solve the problem via these existing methods. The objective of this paper is to solve the fuzzy transportation problems (triangular and hexagonal fuzzy numbers) using zero point, zero suffix and modified zero suffix method. The optimum solution of zero point as well as modified zero suffix gave better results as compare to zero suffix, where as allocation value of both (zero point and modified zero suffix) methods will be the same as compare to zero suffix.