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To Be and Not To Be: 3-Valued Relations on Graphs

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Spatial Information Theory (COSIT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5756))

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Abstract

Spatial information requires models which allow us to answer ‘maybe’ to questions asking whether a location lies within a region. At the same time, models must account for data at varying levels of detail. Existing theories of fuzzy relations and fuzzy graphs do not support notions of granularity that generalize the successes of rough set theory to rough and fuzzy graphs. This paper presents a new notion of three-valued relation on graphs based on a generalization of the usual concept of three-valued relation on sets. This type of relation is needed to understand granularity for graphs.

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Author information

Authors and Affiliations

  1. School of Computing, University of Leeds, Leeds, LS2 9JT, U.K.

    John G. Stell

Authors
  1. John G. Stell
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Editor information

Editors and Affiliations

  1. Department of Geography, University of Iowa, 316 Jessup Hall, 52242, Iowa City, IA, USA

    Kathleen Stewart Hornsby

  2. Naval Academy Research Institute, 29240, Brest Naval, France

    Christophe Claramunt

  3. Groupe Cognition Humaine, LIMSI-CNRS, Université de Paris-Sud, 91403, Orsay, France

    Michel Denis

  4. LIMSI-CNRS, Université de Paris-Sud, 91403, Orsay, France

    Gérard Ligozat

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© 2009 Springer-Verlag Berlin Heidelberg

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Stell, J.G. (2009). To Be and Not To Be: 3-Valued Relations on Graphs. In: Hornsby, K.S., Claramunt, C., Denis, M., Ligozat, G. (eds) Spatial Information Theory. COSIT 2009. Lecture Notes in Computer Science, vol 5756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03832-7_16

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  • DOI: https://doi.org/10.1007/978-3-642-03832-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03831-0

  • Online ISBN: 978-3-642-03832-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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