Name
Abstract | ||
|---|---|---|
Aggregation processes are fundamental in any discipline where the fusion of information is of vital interest. For aggregating binary fuzzy relations such as equivalence relations or fuzzy orderings, the question arises which aggregation operators preserve specific properties of the underlying relations, e.g. T-transitivity. It will be shown that preservation of T-transitivity is closely related to the domination of the applied aggregation operator over the corresponding t-norm T. Furthermore, basic properties for dominating aggregation operators, not only in the case of dominating some t-norm T, but dominating some arbitrary aggregation operator, will be presented. Domination of isomorphic t-norms and ordinal sums of t-norms will be treated. Special attention is paid to the four basic t-norms (minimum t-norm, product t-norm, Lukasiewicz t-norm, and the drastic product). |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1142/S0218488502001806 | International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems |
Keywords | Field | DocType |
product t-norm,basic property,basic t-norms,arbitrary aggregation operator,aggregation operator,corresponding t-norm,lukasiewicz t-norm,isomorphic t-norms,aggregation process,minimum t-norm | Discrete mathematics,Equivalence relation,Ordinal number,Fuzzy logic,Isomorphism,Operator (computer programming),Mathematics,Binary number,Transitive relation | Journal |
Volume | Issue | ISSN |
10 | supplement | 0218-4885 |
Citations | PageRank | References |
62 | 5.45 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Susanne Saminger | 1 | 145 | 15.62 |
| Radko Mesiar | 2 | 3778 | 472.41 |
| Ulrich Bodenhofer | 3 | 705 | 68.02 |