On a class of left-continuous uninorms constructed from the representable uninorm

Uninorms are an important generalization of triangular norms and triangular conorms, having a neutral element lying anywhere in the unit interval. Many different classes of uninorms have been discussed in literature. In this paper, a construction method for a class of left-continuous uninorms is proposed based on the representable uninorm. The idea stems from the rotation method. Some illustrative examples of such uninorms are provided.