New constructions of uni-nullnorms on certain classes of bounded lattices by closure (interior) operators

The primary aim of this article is to put forward new classes of uni-nullnorms on certain classes of bounded lattices via closure (interior) operators.Due to the new classes of uninorms combining both a t-norm T and a t-conorm S by various kinds of closure operators or interior operators, the relationships and properties among the same class of uninorms on L, we obtain new classes of uni-nullnorms on L via closure (interior) operators.The constructions of uninullnorms on some certain classes of bounded lattices can provide another different perspective of t-norms and the dual of t-norms, uninorms and some other associative aggregation operations on bounded lattices.That is, the constructions seem to be the ordinal like sum constructions, but not limited to the ordinal like sum constructions.