Lattice-based sum of uninorms on bounded lattices

Abstract

The notion of a lattice-based sum of uninorms on bounded lattices is based on the notion of the n-uninorm (Akella 2007), and on the lattice-based sum of lattices (ElZekey et al. 2013). A lattice-based sum of lattices is a common generalization of both, horizontal as well as ordinal sum of lattices (Birkhoff 1963). A lattice-based sum of uninorms on bounded lattices is an operation that coincides with the n-uninorms on ordinal sums of lattices.