Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation | Zendy

Nadeem Salamat | Zendy; El-Hadi Zahzah | Zendy

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Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation

Author(s) -

Nadeem Salamat,

El-Hadi Zahzah

Publication year - 2012

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2012/167939

Subject(s) - fuzzy logic , relation (database) , binary relation , defuzzification , representation (politics) , object (grammar) , theoretical computer science , spatial relation , mathematics , computer science , semantics (computer science) , fuzzy classification , fuzzy number , fuzzy set operations , artificial intelligence , fuzzy set , topology (electrical circuits) , data mining , discrete mathematics , combinatorics , politics , political science , programming language , law

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

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