1-Lipschitz power stable aggregation functions

In this paper we study the structure of the class of all binary 1-Lipschitz power stable aggregation functions. A special attention is devoted to the characterization of power stable quasi-copulas. Moreover, the relations between copulas and quasi-copulas as 1-Lipschitz aggregation functions with neutral element e=1e=1, sup- and inf-closures of copulas and “track-defined” functions based on copulas in the framework of binary power stable aggregation functions are characterized.