New constructions of lattice-valued quasi-overlap functions

In this paper, we first investigate some properties of lattice-valued quasi-overlap functions, which includes the relation between quasi-overlap functions and three kinds of aggregation functions and the Lipschitz property. Then we provide two new construction methods for lattice-valued quasi-overlap functions. One applies t-conorms and negations, the other involves quasi-overlap functions and implications. Examples are presented and some analytical properties are studied as well.