Skip to main content

2017 | OriginalPaper | Buchkapitel

Coverage Degree-Based Fuzzy Topological Relationships for Fuzzy Regions

verfasst von : Anderson Chaves Carniel, Markus Schneider

Erschienen in: Flexible Query Answering Systems

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Geographical Information Systems and spatial database systems are well able to handle crisp spatial objects, i.e., objects in space whose location, extent, shape, and boundary are precisely known. However, this does not hold for fuzzy spatial objects characterized by vague boundaries and/or interiors. In the same way as fuzzy spatial objects are vague, the topological relationships (e.g., overlap, inside) between them are vague too. In this conceptual paper, we propose a novel model to formally define fuzzy topological relationships for fuzzy regions. For their definition we consider the numeric measure of coverage degree and map it to linguistic terms that can be embedded into spatial queries.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Bjørke, J.T.: Topological relations between fuzzy regions: derivation of verbal terms. Fuzzy Sets Syst. 141(3), 449–467 (2004)MathSciNetCrossRefMATH Bjørke, J.T.: Topological relations between fuzzy regions: derivation of verbal terms. Fuzzy Sets Syst. 141(3), 449–467 (2004)MathSciNetCrossRefMATH
2.
Zurück zum Zitat Bloch, I.: Fuzzy spatial relationships for image processing and interpretation: a review. Image Vis. Comput. 23(2), 89–110 (2005)CrossRef Bloch, I.: Fuzzy spatial relationships for image processing and interpretation: a review. Image Vis. Comput. 23(2), 89–110 (2005)CrossRef
3.
Zurück zum Zitat Carniel, A.C., Schneider, M.: A conceptual model of fuzzy topological relationships for fuzzy regions. In: IEEE International Conference on Fuzzy Systems, pp. 2271–2278 (2016) Carniel, A.C., Schneider, M.: A conceptual model of fuzzy topological relationships for fuzzy regions. In: IEEE International Conference on Fuzzy Systems, pp. 2271–2278 (2016)
4.
Zurück zum Zitat Carniel, A.C., Schneider, M., Ciferri, R.R., Ciferri, C.D.A.: Modeling fuzzy topological predicates for fuzzy regions. In: ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems, pp. 529–532 (2014) Carniel, A.C., Schneider, M., Ciferri, R.R., Ciferri, C.D.A.: Modeling fuzzy topological predicates for fuzzy regions. In: ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems, pp. 529–532 (2014)
5.
6.
Zurück zum Zitat Dilo, A.: Representation of and reasoning with vagueness in spatial information: a system for handling vague objects. Ph.D. thesis, International Institute for Geo-information Science & Earth Observation (2006) Dilo, A.: Representation of and reasoning with vagueness in spatial information: a system for handling vague objects. Ph.D. thesis, International Institute for Geo-information Science & Earth Observation (2006)
7.
Zurück zum Zitat Jifa, G., Tiejun, C.: Topological relation analysis between high-order fuzzy regions based on fuzzy logic. J. Intell. Fuzzy Syst. Appl. Eng. Technol. 26(4), 2057–2071 (2014)MathSciNetMATH Jifa, G., Tiejun, C.: Topological relation analysis between high-order fuzzy regions based on fuzzy logic. J. Intell. Fuzzy Syst. Appl. Eng. Technol. 26(4), 2057–2071 (2014)MathSciNetMATH
8.
Zurück zum Zitat Schneider, M.: Metric operations on fuzzy spatial objects in databases. In: ACM Symposium on Advances in Geographic Information Systems, pp. 21–26 (2000) Schneider, M.: Metric operations on fuzzy spatial objects in databases. In: ACM Symposium on Advances in Geographic Information Systems, pp. 21–26 (2000)
9.
Zurück zum Zitat Schneider, M.: Fuzzy spatial data types for spatial uncertainty management in databases. In: Galindo, J. (ed.) Handbook of Research on Fuzzy Information Processing in Databases, pp. 490–515. IGI Global (2008) Schneider, M.: Fuzzy spatial data types for spatial uncertainty management in databases. In: Galindo, J. (ed.) Handbook of Research on Fuzzy Information Processing in Databases, pp. 490–515. IGI Global (2008)
10.
Zurück zum Zitat Schneider, M.: Spatial Plateau Algebra for implementing fuzzy spatial objects in databases and GIS: Spatial Plateau data types and operations. Appl. Soft Comput. 16(3), 148–170 (2014)CrossRef Schneider, M.: Spatial Plateau Algebra for implementing fuzzy spatial objects in databases and GIS: Spatial Plateau data types and operations. Appl. Soft Comput. 16(3), 148–170 (2014)CrossRef
11.
Zurück zum Zitat Schneider, M., Behr, T.: Topological relationships between complex spatial objects. ACM Trans. Database Syst. 31(1), 39–81 (2006)CrossRef Schneider, M., Behr, T.: Topological relationships between complex spatial objects. ACM Trans. Database Syst. 31(1), 39–81 (2006)CrossRef
12.
Zurück zum Zitat Schockaert, S., De Cock, M., Kerre, E.E.: Spatial reasoning in a fuzzy region connection calculus. Artif. Intell. 173(2), 258–298 (2009)MathSciNetCrossRefMATH Schockaert, S., De Cock, M., Kerre, E.E.: Spatial reasoning in a fuzzy region connection calculus. Artif. Intell. 173(2), 258–298 (2009)MathSciNetCrossRefMATH
13.
Zurück zum Zitat Verstraete, J.: Deriving topological concepts for fuzzy regions: from properties to definitions. Control Cybern. 41(1), 7:113–7:144 (2012)MathSciNetMATH Verstraete, J.: Deriving topological concepts for fuzzy regions: from properties to definitions. Control Cybern. 41(1), 7:113–7:144 (2012)MathSciNetMATH
Metadaten
Titel
Coverage Degree-Based Fuzzy Topological Relationships for Fuzzy Regions
verfasst von
Anderson Chaves Carniel
Markus Schneider
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-59692-1_10

Premium Partner