caa a22 4500 463187253 CHVBK 20180406164857.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10472-007-9054-5 doi (NATIONALLICENCE)springer-10.1007/s10472-007-9054-5 The Galois lattice as a hierarchical structure for topological relations [Elektronische Daten] [Amedeo Napoli, Florence Le Ber] This paper presents the construction and the comparison of Galois lattices of topological relations for qualitative spatial representation and reasoning. The lattices rely on a correspondence between computational operations working on quantitative data, on the one hand, and topological relations working on qualitative knowledge units, on the other hand. After introducing the context of the present research work, i.e. the RCC-8 model of topological relations, we present computational operations for checking topological relations on spatial regions. From these operations are derived two sets of computational conditions that can be associated to topological relations through a Galois connection. The associated Galois lattices are presented and compared. Elements on the practical use of the lattices for representing spatial knowledge and for reasoning are also introduced and discussed. Springer Science+Business Media B.V., 2007 Galois lattice nationallicence Galois connection nationallicence Lattice-based classification nationallicence Topological relations nationallicence RCC-8 nationallicence Hierarchical knowledge representation nationallicence Napoli Amedeo LORIA - UMR 7503, BP 239, 54506, Vandœuvre-lès-Nancy, France aut Le Ber Florence LORIA - UMR 7503, BP 239, 54506, Vandœuvre-lès-Nancy, France aut Annals of Mathematics and Artificial Intelligence Springer Netherlands 49/1-4(2007-04-01), 171-190 1012-2443 49:1-4<171 2007 49 10472 https://doi.org/10.1007/s10472-007-9054-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10472-007-9054-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Napoli Amedeo LORIA - UMR 7503, BP 239, 54506, Vandœuvre-lès-Nancy, France aut NATIONALLICENCE 700 1- Le Ber Florence LORIA - UMR 7503, BP 239, 54506, Vandœuvre-lès-Nancy, France aut NATIONALLICENCE 773 0- Annals of Mathematics and Artificial Intelligence Springer Netherlands 49/1-4(2007-04-01), 171-190 1012-2443 49:1-4<171 2007 49 10472 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer