Name
Abstract | ||
|---|---|---|
Pre-aggregation function (PAF) is an important concept that has emerged in the context of directional monotonicity functions. Such functions satisfy the same boundary conditions of an aggregation functions, but it is not required the monotone increasingness in all the domain, just in some fixed directions. On the other hand, penalty functions is another important concept for decision making applications, since they can provide a measure of deviation from the consensus value given by averaging aggregation functions, or a penalty for not having such consensus. This paper studies penalty-based functions defined by PAFs. We analyse some properties (e.g.: idempotency, averaging behavior and shift-invariance), providing a characterization of idempotent penalty-based PAFs and a weak characterization of averaging penalty-based PAFs. The use of penalty-based PAFs in spatial/tonal filters is outlined. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/978-3-319-91476-3_34 | Communications in Computer and Information Science |
Keywords | Field | DocType |
Pre-aggregation function,Penalty function,Idempotency,Shift-invariance,Average function,Spatial/tonal filters | Boundary value problem,Monotonic function,Applied mathematics,Idempotence,Monotone polygon,Mathematics,Penalty method | Conference |
Volume | ISSN | Citations |
854 | 1865-0929 | 1 |
PageRank | References | Authors |
0.35 | 18 | 6 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Graçaliz Pereira Dimuro | 1 | 667 | 43.93 |
| Radko Mesiar | 2 | 3778 | 472.41 |
| Humberto Bustince | 3 | 1938 | 134.10 |
| Benjamín C. Bedregal | 4 | 755 | 51.96 |
| José Antonio Sanz | 5 | 429 | 23.40 |
| Giancarlo Lucca | 6 | 73 | 4.60 |