On Weakly Smooth Uninorms on Finite Chain
Gang Li, Huawen Liu, Janos C. Fodor · International Journal of Intelligent Systems · 2014
In this paper, we characterize all weakly smooth uninorms (i.e., uninorms with smooth underlying operators) defined on a finite chain. It is proved that any such uninorm is determined by three unary functions and vice versa. As a by-product, we obtain the characterizations of smooth t-norms, smooth t-conorms through additive generators and show that on a finite chain, there exists no counterpart of the class of uninorms continuous in ]0, 1[2.