Integrating Bipolar Fuzzy Mathematical Morphology in Description Logics for Spatial Reasoning

Bipolarity is an important feature of spatial information, involved in the expression of preferences and constraints about spatial positioning or in pairs of opposite spatial relations such as left and right. Another important feature is imprecision which has to be taken into account to model vagueness, inherent to many spatial relations (as for instance vague expressions such as close to, to the right of), and to gain in robustness in the representations. In previous works, we have shown that fuzzy sets and fuzzy mathematical morphology are appropriate frameworks, on the one hand, to represent bipolarity and imprecision of spatial relations and, on the other hand, to combine qualitative and quantitative reasoning in description logics extended with fuzzy concrete domains. The purpose of this paper is to integrate the bipolarity feature in the latter logical framework based on bipolar and fuzzy mathematical morphology and description logics with fuzzy concrete domains. Two important is...

• Type: Journal
• Year: 2010
• Where: ECAI
• Authors: Céline Hudelot, Jamal Atif, Isabelle Bloch
• Keywords: Artificial Intelligence, Description Logics, ECAI 2010, Fuzzy Mathematical Morphology, Spatial Relations