Two-dimensional fuzzy spatial relations: a new way of computing and representation

  • Authors:

  • Nadeem Salamat;El-hadi Zahzah

  • Affiliations:

  • Mathematics, Image, and Applications Laboratory, University of La Rochelle, La Rochelle, France;Mathematics, Image, and Applications Laboratory, University of La Rochelle, La Rochelle, France

  • Venue:
  • Advances in Fuzzy Systems
  • Year:
  • 2012

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Abstract

Fuzziness is found everywhere, in modeling spatial relations, fuzziness is found at object level as well as in relation semantics. Commonly, fuzzy topological relations are computed between fuzzy objects. Fuzziness in relation semantics is represented by fuzzy topological relations between crisp objects and these types of fuzzy topological relations are much less developed. In this paper, we propose a method for combining fuzzy topological and directional relations. We also propose an algorithm for defuzzification of relations which provides us a binary topological and directional relation between a 2D object pair. These relations are represented in a neighborhood graph. For validation and assessment, a number of experiments have been performed on artificial data.