An interval extension of homogeneous and pseudo-homogeneous t-norms and t-conorms

In this paper, the notion of homogeneity is extended to the interval-valued setting. In particular, we focus on the case of interval-valued t-norms and t-conorms and we characterize interval-valued homogeneous t-norms and t-conorms of interval-valued order. We also introduce the notions of interval-valued pseudo-homogeneous t-norm and interval pseudo-homogeneous t-conorm are introduced and characterized. We illustrate our results with two examples, one in image processing and the other one in decision making.