Further characterization of uninorms on bounded lattices

Abstract

Uninorms on bounded lattices have recently attracted widespread attention. In this study, we first propose the necessary structure for uninorms with Archimedean underlying t-norms and t-conorms on bounded lattices. We also discuss the characterization of more general classes of uninorms. We then study the necessity for a particular structure of uninorms that is required by many existing methods for constructing uninorms on bounded lattices. Finally, we propose a construction approach as an example.