On Generating of t-Norms and t-Conorms on Bounded Lattices

In this paper, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0_M, k] and a t-conorm on [k, 1_M] for an element k ∊ M\{0_M, 1_M}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.