Filiol Pierre and Bollengier Theotime and Jaulin Luc and Le Lann Jean-Christophe: A new interval arithmetic to generate the complementary of contractors. In: Acta cybernetica, (26) 4. pp. 817-838. (2024)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2024 |
| Volume: | 26 |
| Number: | 4 |
| ISSN: | 2676-993X |
| Page Range: | pp. 817-838 |
| Language: | English |
| Publisher: | University of Szeged, Institute of Informatics |
| Place of Publication: | Szeged |
| Related URLs: | https://acta.bibl.u-szeged.hu/86905/ |
| DOI: | 10.14232/actacyb.300840 |
| Uncontrolled Keywords: | Aritmetika, Intervallummódszerek, Numerikus analízis |
| Additional Information: | Bibliogr.: p. 837-838. ; ill. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2025. Apr. 16. 07:59 |
| Last Modified: | 2025. Apr. 16. 07:59 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/86997 |
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