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Objects with Broad Boundaries

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  • First Online:
Encyclopedia of GIS

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Synonyms

Egg-Yolk Model; Fuzzy Sets; Probability Theory; Spatial Data Types with Indeterminate Boundaries; Spatial Objects; Uncertain Boundaries; Vague Boundaries; 3-Value Indeterminacy

Definition

Objects with broad boundaries are spatial objects, whose crisp boundaries are replaced by an area expressing the boundary’s uncertainty. There are two main interpretations for broad boundaries: (1) for positional uncertainty, the broad boundary represents the set of all possible positions among which the unknown boundary position is hidden; (2) for “fuzzy” boundaries, that is, boundaries that are by nature not crisp, the broad boundary represents their minimum and maximum extent. The main motivation for objects with broad boundaries is to record information about uncertainty together with the data. In this way, they represent a new geometric model that overcomes the limits of current spatial database models, which are a collection of lines (points, polylines and polygons). The geometric model...

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Author information

Authors and Affiliations

  1. Department of Industrial and Information Engineering and Economics, University of L’Aquila, L’Aquila, Italy

    Eliseo Clementini

Authors
  1. Eliseo Clementini
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Correspondence to Eliseo Clementini .

Editor information

Editors and Affiliations

  1. University of Minnesota, Minneapolis, MN, USA

    Shashi Shekhar

  2. Management Science and Information Systems Department, Rutgers Business School, Rutgers, The State University of New Jersey, Newark, NJ, USA

    Hui Xiong

  3. Department of Management Sciences, Tippie College of Business, University of Iowa, Iowa City, IA, USA

    Xun Zhou

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Clementini, E. (2017). Objects with Broad Boundaries. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_896

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