Name
Abstract | ||
|---|---|---|
This contribution provides a comprehensive overview on the theoretical framework of aggregating fuzzy relations under the premise of preserving underlying transitivity conditions. As such it discusses the related property of dominance of aggregation operators. After a thorough introduction of all necessary and basic properties of aggregation operators, in particular dominance, the close relationship between aggregating fuzzy relations and dominance is shown. Further, principles of building dominating aggregation operators as well as classes of aggregation operators dominating one of the basic t-norms are addressed. In the paper by Bodenhofer, Küng and Saminger, also in this volume, the interested reader finds an elaborated (real world) example, i.e., an application of the herein contained theoretical framework. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11964810_9 | Theory and Applications of Relational Structures as Knowledge Instruments |
Keywords | Field | DocType |
comprehensive overview,dominating aggregation operator,basic property,close relationship,basic t-norms,aggregation operator,interested reader,theoretical framework,particular dominance,fuzzy relation | T-norm,Discrete mathematics,Computer science,Fuzzy logic,Premise,Relational algebra,Operator (computer programming),Fuzzy equivalence relation,Agrégation,Transitive relation | Conference |
Volume | ISSN | ISBN |
4342 | 0302-9743 | 3-540-69223-1 |
Citations | PageRank | References |
1 | 0.40 | 17 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Susanne Saminger | 1 | 145 | 15.62 |
| Ulrich Bodenhofer | 2 | 705 | 68.02 |
| Erich Peter Klement | 3 | 989 | 128.89 |
| Radko Mesiar | 4 | 3778 | 472.41 |