Name
Abstract | ||
|---|---|---|
This paper is devoted to the study of a special kind of aggregation operators: commutative, non-decreasing binary operators F on [0,1] with annihilator and such that F(0,0)=0 and F(1,1)=1. A characterization of this kind of operators is given, including many examples and properties in the general case. Special attention is paid to the associative case, leading to a characterization by means of a median expression. This type of operators can be viewed as a generalization of both uninorms and nullnorms. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1080/03081070512331318347 | INTERNATIONAL JOURNAL OF GENERAL SYSTEMS |
Keywords | Field | DocType |
uninorm, t-operator, nullnorm, annihilator, aggregation operator, associativity | Discrete mathematics,Annihilator,Associative property,Algebra,Commutative property,Pure mathematics,Operator (computer programming),Operator theory,Binary operation,Mathematics | Journal |
Volume | Issue | ISSN |
34 | 1 | 0308-1079 |
Citations | PageRank | References |
26 | 1.24 | 11 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Mas | 1 | 855 | 49.96 |
| Radko Mesiar | 2 | 3778 | 472.41 |
| M. Monserrat | 3 | 447 | 21.47 |
| J. Torrens | 4 | 697 | 38.56 |