The Transportation Problem is considered in this paper using Probabilistic and Fuzzy
uncertainties. The Transportation Problem is solved using Fuzzy technique is based on α-level
representation of Fuzzy Numbers and Probability Estimation of the fact that given interval is
greater than or equal to other interval. The proposed method makes it possible to extend Simplex
Method using Fuzzy Numbers. The numerical results obtained using Fuzzy Optimization Method
and Monte Carlo Method with Linear Programming using real valued and random parameters
show that Fuzzy approach has considerable advantages in comparison with Monte Carlo Method
especially from computational point of view. The results obtained can be considerably improved
by using a hybridization of Neuro-Fuzzy approach.