A new structure for uninorms on bounded lattices

摘要

This article investigates the construction of uninorms on bounded lattices. First, by using the fact that triangular norms (t-norms) and triangular conorms (t-conorms) on an arbitrary bounded lattice always exist, we introduce a new construction of uninorms on arbitrary bounded lattices with the neutral element. Then we illustrate how our new construction method is different from some existing methods for the construction of uninorms on bounded lattices. Some illustrative examples for the construction of uninorms on bounded lattices are provided. (C) 2019 Elsevier B.V. All rights reserved.