Name
Title | ||
|---|---|---|
The dominance relation on the class of continuous t-norms from an ordinal sum point of view |
Abstract | ||
|---|---|---|
This paper addresses the relation of dominance on the class of continuous t-norms with a particular focus on continuous ordinal sum t-norms. Exactly, in this framework counter-examples to the conjecture that dominance is not only a reflexive and antisymmetric, but also a transitive relation could be found. We elaborate the details which have led to these results and illustrate them by several examples. In addition, to this original and comprehensive overview, we provide geometrical insight into dominance relationships involving prototypical Archimedean t-norms, the Łukasiewicz t-norm and the product t-norm. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11964810_16 | Theory and Applications of Relational Structures as Knowledge Instruments |
Keywords | Field | DocType |
comprehensive overview,transitive relation,product t-norm,dominance relationship,geometrical insight,continuous ordinal sum t-norms,ordinal sum point,prototypical archimedean t-norms,framework counter-example,continuous t-norms,ukasiewicz t-norm | Reflexivity,T-norm,Discrete mathematics,Ordinal sum,Antisymmetric relation,Relational algebra,Conjecture,Order isomorphism,Mathematics,Transitive relation | Conference |
Volume | ISSN | ISBN |
4342 | 0302-9743 | 3-540-69223-1 |
Citations | PageRank | References |
6 | 0.58 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Susanne Saminger | 1 | 145 | 15.62 |
| Peter Sarkoci | 2 | 113 | 12.64 |
| Bernard De Baets | 3 | 2994 | 300.39 |