Abstract Transportation theory is the name given to the study of optimal transportation (OT) and resource allocation in mathematics and economics. In any discipline of science and technology, engineering, medicine, and management, uncertainty plays a critical role. Fuzzy Mathematics (FM) and fuzzy logic (FL) are used in Artificial Intelligence (AI) to process natural language and are frequently employed in decision making (DM). In this paper, using three ranking function to treat the fuzzy transportation model, two of them are Yager and Maleki ranking functions and the other is proposal and suggest depend up on of Yager ranking function based on trapezoidal fuzzy membership function when the total demand, cost of transportation, and the total amount of product (supply) are fuzzy, then the fuzzy model shrinkage to traditional or crisp model. Finally solving these models to the real data that we got it from The General Company for Food Products Abo ghreeb / Iraq.