Social responsibility and risk are some essential issues in projects to consider. Knowing the type of risk in each project and its impact is an important and significant issue in choosing a project or participating in tenders. Considering the increasing growth of urban communities and the need to carry out tasks, and the rising standard of living, trying to carry out projects with advanced technologies seems to be a necessity that requires modern and continuous planning to implement the relevant matters. These plans aim to increase quality and reduce costs due to the high level of demand. In the present study, a fuzzy multi-objective mathematical model has been designed to prioritize projects, minimize the risks involved in implementing each project, maximize profit margins, maximize project costs, and maximize jobs created by the project. Finally, an example appropriate to real-world problems is designed and examined to ensure the correct operation of the proposed model.