Name
Title | ||
|---|---|---|
A complete representation theorem for nullnorms on bounded lattices with ample illustrations |
Abstract | ||
|---|---|---|
We present a complete representation theorem for nullnorms on bounded lattices. Explicitly, any nullnorm on a bounded lattice can be represented in terms of two order-preserving maps, a triangular conorm, a triangular norm and a conditionally associative function. As a particular case, we retrieve the known representation of nullnorms only taking values that are comparable with the annihilator (in terms of two order-preserving maps, a triangular conorm and a triangular norm). As an illustration of the representation theorem, we generate construction methods for nullnorms, especially those taking at least one value that is incomparable with the annihilator. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.fss.2021.08.012 | Fuzzy Sets and Systems |
Keywords | DocType | Volume |
Lattice,Nullnorm,Representation | Journal | 439 |
ISSN | Citations | PageRank |
0165-0114 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hua-Peng Zhang | 1 | 0 | 1.69 |
| Yao Ouyang | 2 | 0 | 1.69 |
| Zhudeng Wang | 3 | 0 | 1.69 |
| Bernard De Baets | 4 | 2994 | 300.39 |