Skip to main content

2015 | OriginalPaper | Buchkapitel

Fuzzy Rough Sets Theory Reducts for Quantitative Decisions – Approach for Spatial Data Generalization

verfasst von : Anna Fiedukowicz

Erschienen in: Pattern Recognition and Machine Intelligence

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

One of the most important objectives within the scope of current cartography is the creation of system controlling the process of geographical data generalisation. Firstly, it requires selection of the features crucial from the point of view of the decision making process. Such tools as reducts and fuzzy reducts, though useful, are still insufficient for the quantitative decisions, common in cartographical generalization. Thus the author proposed a modification in fuzzy reducts calculating, which can allow to calculate them with regard to a continuous decision variable. The proposed method is based on the t-norm of fuzzy indiscernibility based on attribute value and fuzzy indiscernibility based on decision, which is calculated for each pair of objects. The solution seems to be more intuitive than the ones established previously.

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 Burghardt, D., Duchene, C., Mackaness, W. (eds.): Abstracting Geographic Information in a Data Rich World. Lecture Notes in Geoinformation and Cartography Series. Springer, Berlin (2014) Burghardt, D., Duchene, C., Mackaness, W. (eds.): Abstracting Geographic Information in a Data Rich World. Lecture Notes in Geoinformation and Cartography Series. Springer, Berlin (2014)
2.
Zurück zum Zitat Cornelis, Ch., Jensen, R., Martín, G.H., Slezak, D.: Attribute selection with fuzzy decision reducts. Inf. Sci. 180(2), 209–224 (2010)MATHCrossRef Cornelis, Ch., Jensen, R., Martín, G.H., Slezak, D.: Attribute selection with fuzzy decision reducts. Inf. Sci. 180(2), 209–224 (2010)MATHCrossRef
3.
Zurück zum Zitat Greco, S., Matarazzo, B., Słowiński, R.: Multicriteria classification by dominance-based rough set approach. In: Kloesgen, W., Zytkow, J. (eds.) Handbook of Data Mining and Knowledge Discovery. Oxford University Press, New York (2002) Greco, S., Matarazzo, B., Słowiński, R.: Multicriteria classification by dominance-based rough set approach. In: Kloesgen, W., Zytkow, J. (eds.) Handbook of Data Mining and Knowledge Discovery. Oxford University Press, New York (2002)
4.
Zurück zum Zitat Mackaness W.: Understanding geographic space. In: Mackaness, w., Ruas, A., Sarjakoski, T. (eds.) Generalisation of Geographic Information: Cartographic Modelling and Application. Elsevier, Oxford (2007) Mackaness W.: Understanding geographic space. In: Mackaness, w., Ruas, A., Sarjakoski, T. (eds.) Generalisation of Geographic Information: Cartographic Modelling and Application. Elsevier, Oxford (2007)
5.
Zurück zum Zitat Miller, H.J., Han, J.: Geographic Data Mining and Knowledge Discovery. Taylor & Francis, London (2001)CrossRef Miller, H.J., Han, J.: Geographic Data Mining and Knowledge Discovery. Taylor & Francis, London (2001)CrossRef
7.
Zurück zum Zitat Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishing, Dordrecht (1991)MATHCrossRef Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishing, Dordrecht (1991)MATHCrossRef
9.
Zurück zum Zitat Olszewski R., Kartograficzne modelowanie rzeźby terenu metodami inteligencji obliczeniowej, Prace Naukowe - Geodezja, z. 46, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa (2009) Olszewski R., Kartograficzne modelowanie rzeźby terenu metodami inteligencji obliczeniowej, Prace Naukowe - Geodezja, z. 46, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa (2009)
10.
Zurück zum Zitat Olszewski, R., Fiedukowicz, A.: Supporting the process of monument classification based on reducts, decision rules and neural networks. In: Kryszkiewicz, M., Cornelis, C., Ciucci, D., Medina-Moreno, J., Motoda, H., Raś, Z.W. (eds.) RSEISP 2014. LNCS, vol. 8537, pp. 327–334. Springer, Heidelberg (2014) Olszewski, R., Fiedukowicz, A.: Supporting the process of monument classification based on reducts, decision rules and neural networks. In: Kryszkiewicz, M., Cornelis, C., Ciucci, D., Medina-Moreno, J., Motoda, H., Raś, Z.W. (eds.) RSEISP 2014. LNCS, vol. 8537, pp. 327–334. Springer, Heidelberg (2014)
11.
Zurück zum Zitat Riza, L.S., Janusz, A., Bergmeir, C., Cornelis, C., Herrera, F., Ślęzak, D., Benítez, J.M.: Implementing algorithms of rough set theory and fuzzy rough set theory in the R package “RoughSets”. Inf. Sci. 287, 68–89 (2014)CrossRef Riza, L.S., Janusz, A., Bergmeir, C., Cornelis, C., Herrera, F., Ślęzak, D., Benítez, J.M.: Implementing algorithms of rough set theory and fuzzy rough set theory in the R package “RoughSets”. Inf. Sci. 287, 68–89 (2014)CrossRef
12.
Zurück zum Zitat Ślęzak, D., Betliński, P.: A role of (not) crisp discernibility in rough set approach to numeric feature selection. In: Hassanien, A.E., Kim, T.-H., Ramadan, R., Salem, A.-B.M. (eds.) AMLTA 2012. CCIS, vol. 322, pp. 13–23. Springer, Heidelberg (2012)CrossRef Ślęzak, D., Betliński, P.: A role of (not) crisp discernibility in rough set approach to numeric feature selection. In: Hassanien, A.E., Kim, T.-H., Ramadan, R., Salem, A.-B.M. (eds.) AMLTA 2012. CCIS, vol. 322, pp. 13–23. Springer, Heidelberg (2012)CrossRef
Metadaten
Titel
Fuzzy Rough Sets Theory Reducts for Quantitative Decisions – Approach for Spatial Data Generalization
verfasst von
Anna Fiedukowicz
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-19941-2_30

Premium Partner