Document Type : Research Paper
Department of Software Engineering, Faculty of Technology, Karadeniz Technical University, 61830 Trabzon, Turkey
In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods by
Ertugrul, Karacal, Mesiar  and Cayli  as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms and
t-conorms on bounded lattices. This paper has further constructed the t-norms and t-conorms on bounded lattices from a mathematical viewpoint.