Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices

In this paper, we propose new construction methods for generating implication operators based onorder-preserving or order-reversing functions on a bounded lattice. These methods establish a broader framework, allowing for the generation of a wider class of implication operators through the selection of monotonic functions. Furthermore, illustrative examples, figures, and the corresponding results are presented.