Residual operations of left and right uninorms
Zhudeng Wang, Jin-xuan Fang · 2008
Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval. In this paper, we extend the notion of uninorm to a complete lattice, introduce the concepts of left and right uninorms on a complete lattice, discuss the residual operations of left and right uninorms, and study some basic properties of the residual operations of infinitely ∨-distributive left (right) uninorms and pseudo-uninorms.