Possibility theory is particularly efficient in combining multiple information sources providing incomplete, imprecise, and conflictive knowledge. In this work, we focus on the improvement of the accuracy rate of a person re-identification system by combining multiple Deep learning classifiers based on global and local representations. In addition to the original image, we explicitly leverages background subtracted image, middle and down body parts to alleviate the pose and background variations. The proposed combination approach takes place in the framework of possibility theory, since it enables us to deal with imprecision and uncertainty factor which can be presented in the predictions of poor classifiers. This combination method can take advantage of the complementary information given by each classifier, even the weak ones. Experimental results on Market1501 publicly available dataset confirm that the proposed combination method is interesting as it can easily be generalized to different deep learning re-identification architectures and it improves the results with respect to individual classifiers.