Complex nature of the current market is often caused by uncertainties, data uncertainties, their manner of use, and differences in managers' viewpoints. To overcome these problems, hesitant fuzzy sets (HFSs) can be useful as the extension of fuzzy set theory, in which the degree of membership of an element can be a set of possible values and provide greater flexibility in design and, thus, model performance. The power of this application becomes clear when different decision-makers tend to independently record their views. We know that there are usually several goals for managers to achieve the desired performance. Therefore, in this study, firstly a description of the solution of the hesitant fuzzy linear programming problem (HFLP) for solving hesitant fuzzy multi-objective problems is considered. In the following, the multi-objective and three-level supply chain management problem is modeled with the hesitant fuzzy approach. Then, with an example, high flexibility of the model responses is evaluated by the proposed method. Under different circumstances with appropriate modifications, it is possible to extend the hesitant fuzzy model presented in this study to other supply chain management problems.