A new interval arithmetic to generate the complementary of contractors
Contractor algebra is used to characterize a set defined as a composition of sets defined by inequalities. It mainly uses interval methods combined with constraint propagation. This algebra includes the classical operations we have for sets such as the intersection, the union and the inversion. Now,...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
University of Szeged, Institute of Informatics
Szeged
2024
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| Sorozat: | Acta cybernetica
26 No. 4 |
| Kulcsszavak: | Aritmetika, Intervallummódszerek, Numerikus analízis |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.300840 |
| Online Access: | http://acta.bibl.u-szeged.hu/86997 |
| Tartalmi kivonat: | Contractor algebra is used to characterize a set defined as a composition of sets defined by inequalities. It mainly uses interval methods combined with constraint propagation. This algebra includes the classical operations we have for sets such as the intersection, the union and the inversion. Now, it does not include the complement operator. The reason for this is probably related to the interval arithmetic itself. In this paper, we show that if we change the arithmetic used for intervals adding a single flag, similar to not a number, we are able to include easily the complement in the algebra of contractors. |
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| Terjedelem/Fizikai jellemzők: | 817-838 |
| ISSN: | 2676-993X |