Outsourcing is nowadays a widespread practice in national and international companies since it allows them to better use time, energy, manpower, technology, capital, resources, etc. Thus, the appropriate selection of the outsourcer plays an important role in establishing the company's position in the market and contributes to its success. To facilitate the entrepreneur's reasoning for the choice of the best provider, to increase the efficiency of decision making in an uncertain environment, given the inherent uncertainty and imprecision of human decision making as well as future market and firm behaviors, we have developed a hybrid multi-attribute, multi-actor decision support model (FMAADM) to address the problem at hand. For this objective, we have combined the AHP concept with fuzzy logic reasoning. For the validation of this proposed model, an experimental study was conducted to prioritize (03) services of outsourcing related to maintenance and industrial installation for the case of a manufacturing company of plastic products. The proposed model meets the objective sought and thus is retained for the selection of the best provider in a certain/uncertain context of multi-attribute and multi-actor.