In this contribution, we extend the concept of the permutations dependent Choquet-like operator studied in [3] to real-valued inputs. We study its properties and apply this new aggregation in the image inpainting. We propose a modification of the derivative-based approach of the image inpainting introduced by Bertalmio et al. in [5]. We keep the original iterative inpainting procedure, but we replace the image gradient and the Laplacian with the mentioned Choquet-like operator.