Methods for expansions of t-norms and t-conorms on bounded lattices

The aim of this study is to introduce new construction methods for t-norms and t-conorms on a bounded lattice. This study consists of two parts. In the first part of the study, some basic definitions and theorems that will be used in the study and that can be used as a basis for the construction methods obtained are given. In the second part, some new t-norm and t-conorm construction methods are given on a bounded Lattice L. Using these construction methods, the smallest t-norm in the class of t-norms whose restriction to any interval [a,b] of a bounded lattice L is equal to the priori fixed t-norm V has been determined and the largest element of the whole class of t-conorms whose restriction to the same subrange is equal to the W t-conorm is determined.