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Surface area of level-2 fuzzy regions: unifying possibilistic and versitic interpretations of regions

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Abstract
In many applications, spatial data is often prone to uncertainty and imprecision. To model this, fuzzy regions have been developed. Our initial model was a fuzzy set over a two dimensional domain, allowing for fuzzy regions and fuzzy points to be modelled. The model had some limitations: all points where treated independently, and it was not possible to group points together. Furthermore, the model depended on meta-information to specify the interpretation. The model was extended to a level-2 fuzzy region to overcome these limitations; here the calculation and interpretation of the surface area will be considered.
Keywords
fuzzy regions, fuzzy surface area

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MLA
Verstraete, Jörg. “Surface Area of Level-2 Fuzzy Regions: Unifying Possibilistic and Versitic Interpretations of Regions.” LECTURE NOTES IN COMPUTER SCIENCE, edited by Leszek Rutkowski et al., vol. 7267, Springer, 2012, pp. 342–49.
APA
Verstraete, J. (2012). Surface area of level-2 fuzzy regions: unifying possibilistic and versitic interpretations of regions. In L. Rutkowski, M. Korytkowski, R. Scherer, R. Tadeusiewicz, L. Zadeh, & J. Żurada (Eds.), LECTURE NOTES IN COMPUTER SCIENCE (Vol. 7267, pp. 342–349). Berlin, Germany: Springer.
Chicago author-date
Verstraete, Jörg. 2012. “Surface Area of Level-2 Fuzzy Regions: Unifying Possibilistic and Versitic Interpretations of Regions.” In LECTURE NOTES IN COMPUTER SCIENCE, edited by Leszek Rutkowski, Marcin Korytkowski, Rafał Scherer, Ryszard Tadeusiewicz, Lotfi Zadeh, and Jacek Żurada, 7267:342–49. Berlin, Germany: Springer.
Chicago author-date (all authors)
Verstraete, Jörg. 2012. “Surface Area of Level-2 Fuzzy Regions: Unifying Possibilistic and Versitic Interpretations of Regions.” In LECTURE NOTES IN COMPUTER SCIENCE, ed by. Leszek Rutkowski, Marcin Korytkowski, Rafał Scherer, Ryszard Tadeusiewicz, Lotfi Zadeh, and Jacek Żurada, 7267:342–349. Berlin, Germany: Springer.
Vancouver
1.
Verstraete J. Surface area of level-2 fuzzy regions: unifying possibilistic and versitic interpretations of regions. In: Rutkowski L, Korytkowski M, Scherer R, Tadeusiewicz R, Zadeh L, Żurada J, editors. LECTURE NOTES IN COMPUTER SCIENCE. Berlin, Germany: Springer; 2012. p. 342–9.
IEEE
[1]
J. Verstraete, “Surface area of level-2 fuzzy regions: unifying possibilistic and versitic interpretations of regions,” in LECTURE NOTES IN COMPUTER SCIENCE, Zakopane, Poland, 2012, vol. 7267, pp. 342–349.
@inproceedings{3066005,
  abstract     = {{In many applications, spatial data is often prone to uncertainty and imprecision. To model this, fuzzy regions have been developed. Our initial model was a fuzzy set over a two dimensional domain, allowing for fuzzy regions and fuzzy points to be modelled. The model had some limitations: all points where treated independently, and it was not possible to group points together. Furthermore, the model depended on meta-information to specify the interpretation. The model was extended to a level-2 fuzzy region to overcome these limitations; here the calculation and interpretation of the surface area will be considered.}},
  author       = {{Verstraete, Jörg}},
  booktitle    = {{LECTURE NOTES IN COMPUTER SCIENCE}},
  editor       = {{Rutkowski, Leszek and Korytkowski, Marcin and Scherer, Rafał and Tadeusiewicz, Ryszard and Zadeh, Lotfi and Żurada, Jacek}},
  issn         = {{0302-9743}},
  keywords     = {{fuzzy regions,fuzzy surface area}},
  language     = {{eng}},
  location     = {{Zakopane, Poland}},
  pages        = {{342--349}},
  publisher    = {{Springer}},
  title        = {{Surface area of level-2 fuzzy regions: unifying possibilistic and versitic interpretations of regions}},
  volume       = {{7267}},
  year         = {{2012}},
}