In this paper we investigate weak contact relations C on n lattice L, in particular, the relation between various axioms for contact, and their connection to the algebraic structure of the lattice. Furthermore, we will study a notion of orthogonality which is motivated by a weak contact relation in an inner product space. Although this is clearly a spatial application, we will show that, in case L is distributive and C satisfies the orthogonality condition, the only weak contact relation on L is the overlap relation; in particular no RCC model satisfies this condition. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Düntsch, I., & Winter, M. (2006). Weak contact structures. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3929 LNCS, pp. 73–82). Springer Verlag. https://doi.org/10.1007/11734673_6
Mendeley helps you to discover research relevant for your work.