Fuzzy Geometry in Linear Fuzzy Space View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2013

AUTHORS

Djordje Obradović , Zora Konjović , Endre Pap , Imre J. Rudas

ABSTRACT

In this paper a new mathematical model of basic planar imprecise geometric objects (fuzzy line, fuzzy triangle and fuzzy circle) are introduced. Also, basic measurement functions (distance between fuzzy point and fuzzy line, fuzzy point and fuzzy triangle, two fuzzy lines and two fuzzy triangles) as well as spatial operation (linear combination of two fuzzy points) and main spatial relations (coincidence, between and collinear)is proposed. Results obtained with our model can be used in various applications such as image analysis (imprecise feature extraction), GIS (imprecise spatial object modeling), robotics (environment models). Imprecise point objects are modeled as a union of linear combinations of fuzzy points in linear fuzzy space. However, it is proved that fuzzy line could be represented only by two and fuzzy triangle with three fuzzy points. More... »

PAGES

137-153

References to SciGraph publications

  • 2005. Field Based Methods for the Modeling of Fuzzy Spatial Data in FUZZY MODELING WITH SPATIAL INFORMATION FOR GEOGRAPHIC PROBLEMS
  • 2010-02. Largest and Smallest Convex Hulls for Imprecise Points in ALGORITHMICA
  • Book

    TITLE

    Intelligent Systems: Models and Applications

    ISBN

    978-3-642-33958-5
    978-3-642-33959-2

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-642-33959-2_8

    DOI

    http://dx.doi.org/10.1007/978-3-642-33959-2_8

    DIMENSIONS

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