Construction methods for triangular norms and triangular conorms on appropriate bounded lattices

Document Type : Research Paper

Author

Department of Software Engineering, Faculty of Technology, Karadeniz Technical University, 61830 Trabzon, Turkey

Abstract

In this study, new methods to construct triangular norms and triangular conorms on appropriate bounded lattices are introduced. Some illustrative examples are given for clarity. Also, the relation between introduced methods and some other approaches is investigated. Finally, it is shown that the introduced construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on appropriate bounded lattices. And some illustrative examples are given.

Keywords