Aiming to filter the salt and pepper noise, this paper proposes an algorithm for removal of the salt and pepper noise based on the weighted hypergraph and induced ordered weighted averaging(IOWA) operator. Firstly, a weighted hypergraph is proposed to represent an image. According to the fact that noisy pixels take either the maximum value or the minimum value, the edge weight of the hypergraph is constructed. This edge weight can reveal the possibility of the pixel corresponding to the center node of the edge being noise, so that it can be used to detect the noise in image. Then, the IOWA operator is built to restore the noise. The noise detecting and restoring is alternative to accomplish the denoising of the whole image. The simulated experiments demonstrate that the proposed method can not only remove the salt and pepper noise, but also keep the contour information and other detail information of the original image.