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A quantitative approach to topology for fuzzy regions

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Abstract
There has been lots of research in the field of fuzzy spatial data and the topology of fuzzy spatial objects. In this contribution, an extension to the 9-intersection model is presented, to allow for the relative position of overlapping fuzzy regions to be determined. The topology will be determined by means of a. new intersection matrix, and a set of numbers, expressing the similarity between the topology of the given regions and a number of predefined cases. The approach is not merely a conceptual idea, but has been built on our representation model and can as such be immediately applied.

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Citation

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Chicago
Verstraete, Jörg. 2010. “A Quantitative Approach to Topology for Fuzzy Regions.” In Lecture Notes in Artificial Intelligence, ed. Leszek Rutkowski, Rafał Scherer, Ryszard Tadeusiewicz, Lotfi A Zadeh, and Jacek M Zaruda, 6113:248–255. Berlin, Germany: Springer.
APA
Verstraete, Jörg. (2010). A quantitative approach to topology for fuzzy regions. In L. Rutkowski, R. Scherer, R. Tadeusiewicz, L. A. Zadeh, & J. M. Zaruda (Eds.), Lecture Notes in Artificial Intelligence (Vol. 6113, pp. 248–255). Presented at the 10th International conference on Artificial Intelligence and Soft Computing (ICAISC 2010), Berlin, Germany: Springer.
Vancouver
1.
Verstraete J. A quantitative approach to topology for fuzzy regions. In: Rutkowski L, Scherer R, Tadeusiewicz R, Zadeh LA, Zaruda JM, editors. Lecture Notes in Artificial Intelligence. Berlin, Germany: Springer; 2010. p. 248–55.
MLA
Verstraete, Jörg. “A Quantitative Approach to Topology for Fuzzy Regions.” Lecture Notes in Artificial Intelligence. Ed. Leszek Rutkowski et al. Vol. 6113. Berlin, Germany: Springer, 2010. 248–255. Print.
@inproceedings{1944954,
  abstract     = {There has been lots of research in the field of fuzzy spatial data and the topology of fuzzy spatial objects. In this contribution, an extension to the 9-intersection model is presented, to allow for the relative position of overlapping fuzzy regions to be determined. The topology will be determined by means of a. new intersection matrix, and a set of numbers, expressing the similarity between the topology of the given regions and a number of predefined cases. The approach is not merely a conceptual idea, but has been built on our representation model and can as such be immediately applied.},
  author       = {Verstraete, J{\"o}rg},
  booktitle    = {Lecture Notes in Artificial Intelligence},
  editor       = {Rutkowski, Leszek and Scherer, Rafa\unmatched{0142} and Tadeusiewicz, Ryszard and Zadeh, Lotfi A and Zaruda, Jacek M},
  isbn         = {9783642132070},
  issn         = {0302-9743},
  language     = {eng},
  location     = {Zakopane, Poland},
  pages        = {248--255},
  publisher    = {Springer},
  title        = {A quantitative approach to topology for fuzzy regions},
  url          = {http://dx.doi.org/10.1007/978-3-642-13208-7\_32},
  volume       = {6113},
  year         = {2010},
}

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