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Cooperation in supply chain, due to conflicts in goals, is one the most important topics in SCM. With cooperation, players in supply chain echelons have agree with each other to play in supply chain game as a whole. To reach highest profit in the whole supply chain in cooperation condition, using game theory concept and side-contract of partnership in profits and considering marketing cost between manufacture and retailer, a cooperative multi-echelon supply chain is designed. In this paper, for the first time, mathematical modeling in fuzzy environment is presented, taking into account a discount that is approximated to the actual situation where the marketing cost is considered as triangular fuzzy number. The proposed model has been solved using Genetic algorithm (GA), simulated annealing algorithm (SA) and a hybrid algorithm based on GA-SA, for some random examples, and the model has been validated using GAMS software.