Integrating Bipolar Fuzzy Mathematical Morphology in Description Logics for Spatial Reasoning

Céline Hudelot 1 Jamal Atif 2, 3 Isabelle Bloch 4
3 TAO - Machine Learning and Optimisation
LRI - Laboratoire de Recherche en Informatique, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR8623
Abstract : 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 issues are addressed in this paper: the modeling of the bipolarity of spatial relations at the terminological level and the integration of bipolar notions in fuzzy description logics. At last, we illustrate the potential of the proposed formalism for spatial reasoning on a simple example in brain imaging.
Type de document :
Communication dans un congrès
Frontiers in Artificial Intelligence and Applications, Proceedings of ECAI 2010, 2010, Lisbon, Portugal. 215, pp.497 - 502, 2010, 〈10.3233/978-1-60750-606-5-497〉
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https://hal.archives-ouvertes.fr/hal-00825254
Contributeur : Céline Hudelot <>
Soumis le : jeudi 23 mai 2013 - 12:01:52
Dernière modification le : mercredi 20 février 2019 - 14:41:32

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Céline Hudelot, Jamal Atif, Isabelle Bloch. Integrating Bipolar Fuzzy Mathematical Morphology in Description Logics for Spatial Reasoning. Frontiers in Artificial Intelligence and Applications, Proceedings of ECAI 2010, 2010, Lisbon, Portugal. 215, pp.497 - 502, 2010, 〈10.3233/978-1-60750-606-5-497〉. 〈hal-00825254〉

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