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Bipolar Fuzzy Spatial Information: Geometry, Morphology, Spatial Reasoning

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Methods for Handling Imperfect Spatial Information

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 256))

Abstract

Spatial information may be endowed with a bipolarity component. Typical examples concern possible vs forbidden places for an object in space, or “opposite” spatial relations such as “possibly to the right of an object and certainly not to its left”. However, bipolarity has not been much exploited in the spatial domain yet. Moreover, imprecision has often to be taken into account as well, for instance to model vague statements such as “to the right of an object”. In this paper we propose to handle both features in the framework of bipolar fuzzy sets. We introduce some geometrical measures and mathematical morphology operations on bipolar fuzzy sets and illustrate their potential for spatial reasoning on a simple scenario in brain imaging.

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Author information

Authors and Affiliations

  1. Télécom ParisTech, CNRS LTCI, Paris, France

    Isabelle Bloch

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  1. Isabelle Bloch
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Editors and Affiliations

  1. IGM Université Paris Est, Champs-sur-Marne, France

    Robert Jeansoulin

  2. LSIS UMR CNRS, Marseille, France

    Odile Papini

  3. Université Paul Sabatier, Toulouse, France

    Henri Prade

  4. Ghent University, Ghent, Belgium

    Steven Schockaert

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Bloch, I. (2010). Bipolar Fuzzy Spatial Information: Geometry, Morphology, Spatial Reasoning. In: Jeansoulin, R., Papini, O., Prade, H., Schockaert, S. (eds) Methods for Handling Imperfect Spatial Information. Studies in Fuzziness and Soft Computing, vol 256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14755-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-14755-5_4

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