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Fuzzy regions: interpretations of surface area and distance

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Języki publikacji
EN
Abstrakty
EN
This contribution concerns the modelling of fuzzy information in geographic databases. For this purpose, fuzzy regions and fuzzy points have been defined in the past, along with a number of suitable operations. For numerical information - such as the surface area of fuzzy regions, or the distance between fuzzy regions and/or fuzzy points - the computation depends on the interpretation given to the fuzzy regions or points. Consequently, it is important to differentiate between the interpretation in order to obtain correct results. This article explains in detail the impact of the interpretation in terms of both the surface area and the distance.
Słowa kluczowe
Rocznik
Strony
509--526
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
Bibliografia
  • BURROUGH, P. (1996) Natural Objects with Indeterminate Boundaries. In: P.A. Burrough, A.U. Frank, eds., Geographic Objects with Indeterminate Boundaries. Taylor & Francis, 3-28.
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  • COHN, A.G. and GOTTS, N.M. (1994) Spatial regions with undetermined boundaries. Proceedings of the Second ACM Workshop on Advances in Geographic Information Systems. ACM Press, 52-59.
  • DE TRÉ, G. (2002) Extended Possibilistic Truth Values. International Journal of Intelligent Systems, 17 (4), 427-446.
  • DUBOIS, D. and PRADE, H. (1997) The three semantics of fuzzy sets. Fuzzy Sets and Systems 90, 141-150.
  • DUBOIS, D. and PRADE, H. (2000) Fundamentals of Fuzzy Sets. Kluwer Academic Publishers.
  • EGENHOFER, M.J. and SHARMA, J. (1993) Topological Relations Between Regions in R2 and Z2. In: D. Abel and B.C. Ooi, eds., Advances in Spatial Databases - Third International Symposium SSD’93. LNCS 692, Springer-Verlag, Singapore, 316-336.
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  • MORRIS, A. (2001) Why Spatial Databases Need Fuzziness. Proceedings of Nafips 2001. IEEE Press, 2446-2451.
  • RIGAUX, P., SCHOLL, M. and VOISARD, A. (2002) Spatial Databases with Applications to GIS. Morgan Kaufman Publishers.
  • SCHNEIDER, M. (1996) Modeling Spatial Objects with Undetermined Boundaries Using the Realm/ROSE Approach. Geographic Objects with Under-termined Boundaries. GISDATA Series, 2. Taylor & Francis, 141-152.
  • SHEKHAR, S. and CHAWLA, S. (2003) Spatial Databases: A tour. Pearson Education Inc.
  • VERSTRAETE, J., DE TRÉ, G., DE CALUWE, R. and HALLEZ, A. (2005) Field Based Methods for the Modelling of Fuzzy Spatial Data. In: F. Petry, V. Robinson, M. Cobb, eds., Fuzzy Modeling with Spatial Information for Geographic Problems. Springer-Verlag, 41-69.
  • VERSTRAETE, J., DE TRÉ and G. HALLEZ, A. (2006) Bitmap based structures for the modeling of fuzzy entities. Control & Cybernetics 35 (1), 147-164.
  • VERSTRAETE, J., HALLEZ, A. and DE TRÉ, G. (2006) Fuzzy regions: theory and applications. In: A. Morris, S. Kokhan, eds., Geographic Uncertainty in Environmental Security. Springer, Dodrecht, 1-17.
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  • ZADEH, L.A. (1971) Quantitative fuzzy semantics. Information Sciences 3 (2), 177-200.
  • ZHAN, F.B. (1998) Approximate Analysis of Topological Relations Between Geographic Regions with Indeterminate Boundaries. Soft Computing 2 (2), 28-34.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0040-0008
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