Name
Abstract | ||
|---|---|---|
This paper introduces and justifies a similarity- based concept of strict fuzzy orderings and pro- vides constructions how fuzzy orderings can be transformed into strict fuzzy orderings and vice versa. We demonstrate that there is a meaning- ful correspondence between fuzzy orderings and strict fuzzy orderings. Unlike the classical case, however, we do not obtain a general one-to-one correspondence. We observe that the strongest results are achieved if the underlying t-norm in- duces a strong negation, which, in particular, in- cludes nilpotent t-norms and the nilpotent mini- mum. |
Year | Venue | Keywords |
|---|---|---|
2005 | EUSFLAT Conf. | fuzzy or- derings,strict fuzzy orderings.,fuzzy equivalence relations |
Field | DocType | Citations |
Discrete mathematics,Fuzzy classification,Negation,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics,Nilpotent | Conference | 4 |
PageRank | References | Authors |
0.49 | 8 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ulrich Bodenhofer | 1 | 705 | 68.02 |
| Mustafa Demirci | 2 | 337 | 41.11 |