The research aims to evaluate the suppliers at Diyala general electric industries company conducted in an environment of uncertainty and fuzzy where there is no particular system followed by the company, and also aims to use the problem of traveling salesman problem in the process of transporting raw materials from suppliers to the company in a fuzzy environment. Therefore, a system based on mathematical methods and quantity was developed to evaluate the suppliers. Fuzzy inference system (FIS) and fuzzy set theory were used to solve this problem through (Matlab) and the problem of the traveling salesman in two stages was also solved by the first stage of eliminating the fuzzing of the environment using the rank function method, while the second stage used the method of the nearest neighbor to solve the traveling salesman problem (TSP) by drawing a path that facilitates the process of transporting raw materials in the least time where the programming (Winqsb) was used. The most important thing that was reached is the mechanism of evaluating the suppliers by giving a percentage to each supplier and also their ranking where the supplier (Japanese company) got the first place and it was (87.3) ... etc. The raw materials process was used in the least time and obtained at the lowest time of the transfer, which is 292 minutes
