| Journal: | Computación y sistemas |
| Database: | |
| System number: | 000560148 |
| ISSN: | 1405-5546 |
| Authors: | Vargas, Andrés1 Bogoya, Johan1 |
| Institutions: | 1Pontificia Universidad Javeriana, Bogotá. Colombia |
| Year: | 2018 |
| Season: | Abr-Jun |
| Volumen: | 22 |
| Number: | 2 |
| Pages: | 331-345 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| English abstract | The averaged Hausdorff distance Δ p is an inframetric which has been recently used in evolutionary multiobjective optimization (EMO). In this paper we introduce a new two-parameter performance indicator Δ p , q which generalizes Δ p as well as the standard Hausdorff distance. For p , q ≥ 1 the indicator Δ p , q (that we call the ( p , q )-averaged distance) turns out to be a proper metric and preserves some of the Δ p advantages. We proof several properties of Δ p , q, and provide a comparison with Δ p and the standard Hausdorff distance. For simplicity we restrict ourselves to finite sets, which is the most common case, but our results can be extended to the continuous case. |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas |
| Keyword: | Averaged Hausdorff distance, Generational distance, Inverted generational distance, Multiobjective optimization, Performance indicator, Power means, Applied mathematics |
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