We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A note on the ordinal sum of triangular norms on bounded lattices.
- Authors
Yan, T.; Ouyang, Y.
- Abstract
The ordinal sum construction is an important way to generate new triangular norms (t-norms for short) on real unit interval from existing ones. Saminger extended the ordinal sum construction of t-norms to bounded lattices in a direct way and proved that, except for very special cases the ordinal sum of t-norms on bounded lattices may be not a t-norm. To ensure the ordinal sum of t-norms is always a t-norm, several modified ordinal sum of t-norms have been developed. This note reviews several such constructions. As a byproduct, we point out that some recent results concerning ordinal sum of t-norms by A¸sici can be seen as corollaries of these construction.
- Subjects
TRIANGULAR norms
- Publication
Iranian Journal of Fuzzy Systems, 2023, Vol 20, Issue 4, p75
- ISSN
1735-0654
- Publication type
Article