For minimizing total cost and maximizing the efficiency of resource use, the outsourcing of logistics has become one of the hot topics being seriously discussed in the last few years. Enterprises have an urgent requirement to choose a suitable third party logistic (3PL) provider in flexible business. Therefore, this paper uses the modified fuzzy analytic hierarchy process method to find a 3PL for supplier selection problem in fuzzy dynamic decision environments. For estimating the logistics vendors’ past, present and near future, a three dimensional matrix is used to illustrate the scores of attributes, alternatives and time-sections. The tradeoff at different time-sections may be scored by decision makers is the major advantage of the proposed method. Finally, a numerical example is used to demonstrate the proposed method. The results display the helpfulness and facility of the proposed method for choosing an optimal 3PL company.