Uninorms and Absorbing Norms with Applications to Image Processing

Recently it has been shown that in Image Processing, the usual sum and product of the reals are not the only operations that can be used. Several other operations provided by fuzzy logic perform well in this application. We continue this line of research and we propose the use of a pair consisting of a uninorm and an absorbing norm determined by a continuous, strictly increasing generator instead of the classical sum and multiplication. We define in the present paper pseudo-linear Haar wavelets, and we perform multi-channel decomposition of images. The results show us that pseudo-linear Haar wavelets can be used as an alternative of classical Haar wavelets.