01644nab a2200277 i 4500 acta86997 20250416075951.0 250416s2024 hu o 000 eng d 2676-993X 10.14232/actacyb.300840 doi SZTE Egyetemi Kiadványok Repozitórium hun eng Filiol Pierre A new interval arithmetic to generate the complementary of contractors [elektronikus dokumentum] / Filiol Pierre University of Szeged, Institute of Informatics Szeged 2024 817-838 Acta cybernetica 26 No. 4 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. Természettudományok Matematika Számítás- és információtudomány Aritmetika, Intervallummódszerek, Numerikus analízis Bollengier Theotime aut Jaulin Luc aut Le Lann Jean-Christophe aut http://acta.bibl.u-szeged.hu/86997/1/cybernetica_026_numb_004_817-838.pdf Dokumentum-elérés