Residual operations of left and right uninorms on a complete lattice

Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval. In this paper, we introduce the concepts of left and right uninorms on a complete lattice. We 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.